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[[-22, -10, 10, -4, -2, 3, -12, -5, 6, -6],\n [-10, -17, -6, 16, 16, 6, -16, -24, 12, -18],\n [10, -6, 16, 12, -18, -9, 12, -8, 14, -10],\n [-4, 16, 12, -14, 0, 2, -8, 3, -1, 22],\n [-2, 16, -... | 507 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, 30, 1, -25, -5, 19, 3, -16, -30, 6],\n [10, -4, -23, 24, -18, -4, 28, 9, 20, 18],\n [25, -30, -12, -25, -7, 29, -9, -8, 27, 8],\n [-24, -15, 28, -5, -7, 5, -23, 7, -25, 27],\n [-18, -12, -30, -6, -3, 13, 0, -8, 10, 24],\n [4, 5, -11, -30, -24, -9, -9,... | 112 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -22, -25, 0, -13, -30, -8, 21, 1, 28],\n [0, -29, 26, -20, 13, 7, -8, 18, -11, 14],\n [0, 0, 17, -25, -2, -19, -6, 14, 6, 3],\n [0, 0, 0, -14, -1, -5, -10, 23, -5, -6],\n [0, 0, 0, 0, 9, 20, 21, -27, 2, 28],\n [0, 0, 0, 0, 0, -27, 16, -18, -20, -12],\... | 528 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 12, -16, 18, -13, 17, -11, -26, 0, -7],\n [25, 11, 19, -3, -19, 27, -9, 26, 13, 28],\n [-12, -7, -30, 22, -28, -25, 27, -6, -14, -18],\n [0, 2, -12, -3, -24, -20, -7, -10, 2, 5],\n... | 702 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, 8, 12, -20, 8, 4, 21, -4, 3, -8],\n [8, 27, -17, 4, 0, 8, 2, -14, 1, 8],\n [12, -17, 27, 22, -8, -6, -26, 4, -5, -12],\n [-20, 4, 22, 8, 8, -9, 28, -2, 1, -8],\n [8, 0, -8, 8, -21, 12, 8, -4, -14, -18],\n [4, 8, -6, -9, 12, -30, -4, -20, 19, -6],\n [21... | 165 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -11, -6, 13, 20, -21, 17, -27, -13, -16],\n [0, 7, -4, -18, 1, -26, -1, 26, 18, -12],\n [0, 0, -30, 25, 6, -8, -8, -5, -22, 25],\n [0, 0, 0, 2, -11, -27, -5, 5, -9, -7],\n [0, 0, ... | 520 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, 9, -5, -5, -4, -28, -26, -5, 25, 19],\n [0, -9, 18, -27, 6, -22, 23, -11, 25, 25],\n [0, 0, -4, 0, 20, -23, 12, 27, 28, 25],\n [0, 0, 0, 12, -9, -10, -18, 21, 7, -3],\n [0, 0, 0, 0, 1, -19, -9, 19, -20, -20],\n [0, 0, 0, 0, 0, -1, -28, -3, 23, 23],\n... | 760 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -16, -10, 15, 14, -17, 10, -27, -19, 22],\n [0, 15, -11, 3, -20, 29, -18, -5, 25, 23],\n [0, 0, 30, -3, 27, -5, 21, 9, -12, 13],\n [0, 0, 0, -23, -8, 0, 30, -29, 14, -23],\n [0, 0, 0, 0, -18, -4, -21, -6, 5, 25],\n [0, 0, 0, 0, 0, 24, -16, 22, -4, 25],\n [0, ... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, -3, -11, 27, -19, -28, 15, -12, 7, 28],\n [25, -10, -24, -25, 26, -28, 14, -2, 28, 2],\n [-17, 1, 23, -25, 3, -13, 1, -12, -27, -18],\n [-20, 20, 13, 14, 12, 21, -8, -28, 6, 14],\n [-4, -19, 23, -15, -3, 14, 20, 12, -24, -6],\n [5, -9, 12, 4, -9, -10, -... | 44 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 16, -29, -4, 1, -16, 23, 3, -9, 27],\n [0, -30, 11, -5, -19, 9, -15, 15, 21, 7],\n [0, 0, 7, -22, 0, -23, -5, 19, -2, 13],\n [0, 0, 0, -30, 27, -10, 30, 14, 28, 9],\n [0, 0, 0, 0, -29, 12... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[16, 8, 6, -24, 16, -4, -8, 22, 14, 19],\n [8, -3, 27, -4, 8, 15, 15, 8, -14, -6],\n [6, 27, 17, 2, -15, -16, 0, 0, -7, 10],\n [-24, -4, 2, 29, -16, 8, 28, 26, 21, -8],\n [16, 8, -15, -16, 0,... | 281 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 13, -4, 8, 12, 2, 14, 10, -10, 12],\n [13, -8, -10, -16, 7, 9, 6, 5, -4, -1],\n [-4, -10, 30, -7, -2, 8, -4, 4, 10, 14],\n [8, -16, -7, -11, -2, 0, -10, 10, 0, 6],\n [12, 7, -2, -2, 13, ... | 189 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[28, 10, -14, -20, 20, 3, 13, -8, -6, 2],\n [10, 8, -7, 20, -8, 18, -7, 12, -18, -8],\n [-14, -7, 0, 10, -13, 1, 0, -4, -13, -13],\n [-20, 20, 10, -1, 16, 6, 22, 7, -2, 8],\n [20, -8, -13, 16, 18, 14, -10, -23, -10, 20],\n [3, 18, 1, 6, 14, -30, -26, 0, -2... | 673 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, 16, 14, -14, 4, 10, 11, -4, 4, 8],\n [16, 23, -7, -27, 9, -22, 4, 3, -12, -2],\n [14, -7, -19, -11, 10, 20, 18, 3, 0, 17],\n [-14, -27, -11, -7, -4, -10, 9, -20, -16, 1],\n [4, 9, 10, -4, 19, -6, -13, -18, -25, -10],\n [10, -22, 20, -10, -6, -15, 6, ... | 73 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, -20, 20, -4, -2, 3, 8, 8, -15, -20],\n [-20, 19, 15, -1, -16, -13, -7, -22, 4, 6],\n [20, 15, 6, 16, -16, 20, -12, -18, 5, 16],\n [-4, -1, 16, 6, 11, 16, 26, 12, -18, 15],\n [-2, -16, -16, 11, -20, 16, 14, -12, -20, -16],\n [3, -13, 20, 16, 16, -20, -2,... | 859 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -1, -8, 23, 0, 6, 3, 16, 12, 15],\n [-1, -17, 14, 6, 10, 17, -17, -14, 2, -24],\n [-8, 14, -15, 18, -11, 10, -2, -5, 20, 27],\n [23, 6, 18, -23, 10, 8, 2, 5, 18, 14],\n [0, 10, -11, 10, ... | 953 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, 0, 3, 14, 20, -12, -7, -27, 26, -16],\n [0, -22, 20, 6, 5, -26, -4, 0, 22, -7],\n [3, 20, -25, 0, -4, -21, 10, 0, 16, 2],\n [14, 6, 0, 16, 23, -8, 12, 8, -8, -18],\n [20, 5, -4, 23, 2, 0... | 692 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, -29, -2, -6, -27, -4, 4, 8, 14, -7],\n [-29, -28, -24, 11, -10, -18, -16, -8, -12, -8],\n [-2, -24, -17, -6, 6, -13, 1, -12, 14, -12],\n [-6, 11, -6, 12, -8, -8, 6, 19, 2, 20],\n [... | 523 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 28, 25, 3, -25, -7, 27, -12, 18, 12],\n [0, -26, -25, -29, -19, 26, 0, 26, -1, -27],\n [0, 0, 18, -12, 7, 27, 27, 29, -8, -9],\n [0, 0, 0, 8, -7, -24, -28, -10, 28, -24],\n [0, 0, 0, 0, 15, 16, -14, -6, -17, 18],\n [0, 0, 0, 0, 0, -12, -7, -1, -22, -22... | 400 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[22, 1, -10, 26, -30, 18, 18, 17, 1, -3],\n [0, 12, -17, 7, -29, -29, -14, 5, -16, -20],\n [0, 0, -25, -1, 8, 27, -26, 10, 23, -3],\n [0, 0, 0, -16, -16, -12, 0, 2, -6, -30],\n [0, 0, 0, 0, 17, -23, 22, 20, -16, -21],\n [0, 0, 0, 0, 0, 5, -9, 1, 10, 20],\n [0, 0, 0... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, -18, 7, -24, 17, 7, -17, 18, 10, -3],\n [-21, -15, -11, 2, -22, -25, 12, -28, 27, -19],\n [7, -10, 5, 5, -15, 19, -21, -22, -7, 2],\n [18, -9, -17, -6, -24, -10, -19, 1, 11, 25],\n [-21, -3, 27, -10, -2, -2, 4, 13, -21, 14],\n [13, 21, 21, 2, 24, 0, 2... | 444 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[30, 24, 14, 3, -5, -4, 2, -17, 6, 3],\n [10, 10, -1, 18, 14, -11, -13, -15, 26, 13],\n [-28, -30, -28, -9, -19, -4, 20, -5, -16, 20],\n [-7, 26, -21, 9, 22, -11, -10, -12, 19, -13],\n ... | 643 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-28, 20, -16, 22, 0, -14, -4, 10, 24, 10],\n [20, -2, -12, 19, -12, -14, 16, -12, 0, -2],\n [-16, -12, -26, -8, -2, 7, -2, 19, 2, -12],\n [22, 19, -8, -21, -20, -17, 16, -25, 3, 20],\n [0, -12, -2, -20, -9, 2, 11, 0, -16, -6],\n [-14, -14, 7, -17, 2, 11, ... | 103 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -5, 12, 14, 24, -3, 20, -2, 12, -14],\n [-5, 22, -22, -14, -4, -3, 10, -6, 12, -6],\n [12, -22, -17, 2, -18, 3, -10, 0, 12, 24],\n [14, -14, 2, -7, -16, -5, 0, -6, -4, 0],\n [24, -4, -18, -16, 15, 21, 4, -11, -6, -6],\n [-3, -3, 3, -5, 21, -9, 7, 11, ... | 518 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, -13, 9, -7, 5, -13, 26, 11, 7, -16],\n [9, 29, -28, 25, 18, 12, 7, 22, 30, 1],\n [-23, 4, -8, 27, 28, 29, 17, 28, -4, 5],\n [-30, -21, 18, 29, 23, 5, 17, -1, -1, 4],\n [-3, 13, -27, 2, 10, 5, -30, -22, 7, -15],\n [17, -16, -26, 26, 28, 1, 11, 29, -9, 3... | 777 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -22, -4, -3, -13, -17, 1, 2, -20, 0],\n [-22, 23, 7, 4, -3, 20, 2, -7, -24, -11],\n [-4, 7, -28, 15, -12, -8, 24, 16, -4, 10],\n [-3, 4, 15, 17, -8, 0, -8, -12, 20, -6],\n [-13, -3, -12, -8, 19, -8, 12, -6, 13, -2],\n [-17, 20, -8, 0, -8, -22, -6, 6, 13, -17],... | 919 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -21, -12, -24, 27, -11, 21, -16, -8, 24],\n [18, -21, -21, 24, 12, -6, 29, 7, 5, -7],\n [30, -23, 24, -19, -21, -27, -23, -3, -12, 25],\n [23, -30, -17, 5, 11, -23, 16, 29, -16, 28],\n [-18, 12, -14, 11, -24, 13, -1, 16, -28, -16],\n [7, 26, -25, -16, -14, 15,... | 518 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 1, -22, -17, -18, 19, -25, -10, -7, -15],\n [-20, -1, 6, -17, -23, -24, -16, 8, 10, 30],\n [4, 26, -16, 13, -19, 29, -30, 15, -5, 18],\n [13, 23, 0, -23, -20, -9, 26, 21, -30, -18],\n [... | 219 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[26, -29, 25, -30, 25, 0, 12, 27, -27, -22],\n [0, 8, -23, -25, 12, 26, -5, 5, 26, -21],\n [0, 0, -23, 28, 28, 12, 0, 15, -7, 11],\n [0, 0, 0, 30, -24, 29, 23, -2, 11, -16],\n [0, 0, 0, 0, 9,... | 400 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, -21, 16, 12, 25, -7, 4, 29, 16, 30],\n [0, 20, -11, -24, 8, -25, 11, -12, 22, 30],\n [0, 0, -25, 30, 1, -5, 17, 13, -1, 19],\n [0, 0, 0, 8, 18, -2, -17, -7, -11, -2],\n [0, 0, 0, 0, 4, 29, 19, 20, -11, 15],\n [0, 0, 0, 0, 0, 23, -11, -17, 2, 12],\n [0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, -17, 13, 22, -15, 15, -7, -28, 22, 14],\n [-4, 16, -15, -15, -6, -26, -22, 24, -21, 30],\n [2, 11, 9, -7, -14, 6, -25, 24, 18, 3],\n [8, -7, 26, -12, -2, 11, -18, -12, -23, -17],\n [-20, 21, -8, 4, -28, -28, -12, 20, -15, -18],\n [-4, -18, -14, -27, 20, 24, -3,... | 671 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 0, -14, -27, 2, -3, -4, -2, 4, 0],\n [0, -6, 8, 3, -4, 15, -1, -5, 8, 26],\n [-14, 8, 19, 5, 20, -3, -2, -16, -12, 4],\n [-27, 3, 5, 28, 2, 16, -4, 8, -8, -4],\n [2, -4, 20, 2, 9, -... | 323 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, -8, -16, 9, 14, -4, -10, 3, 29, -5],\n [28, -9, -3, -17, 24, -9, -10, 0, 4, 19],\n [-8, -10, -7, -20, 10, -30, 17, 9, 28, 4],\n [-11, -26, 0, -2, -2, 9, 0, 2, 15, -25],\n [20, -3, 7, -16,... | 413 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, 27, 14, -13, 19, 20, -25, 6, 3, -4],\n [-26, 0, 26, 9, 27, -13, 24, -9, 27, 8],\n [19, -29, -20, 22, 9, 7, 30, 22, -22, -1],\n [1, 4, -4, 23, -3, 10, -26, 5, 0, -19],\n [-23, 21, -5, 11, 23, -15, -30, -5, -23, -1],\n [11, -25, 7, -4, -2, 20, -18, 25, -25, -23... | 964 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, -15, -12, -8, 14, 28, 11, 3, 22, 3],\n [4, -15, 15, -16, -24, -16, -26, -8, -17, -25],\n [-30, 27, -18, -9, 25, -13, 17, 1, 30, 6],\n [-23, 23, -17, -8, 9, -24, 20, -27, 25, 10],\n... | 472 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[29, -30, -25, -17, 9, 0, 27, 21, 11, -14],\n [0, 19, -7, -8, 4, -24, 28, -30, 29, -23],\n [0, 0, -14, -12, 1, 30, -15, 6, 16, -26],\n [0, 0, 0, 11, -23, 14, 10, 3, -17, -24],\n [0, 0, ... | 880 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 17, 19, -16, 28, -16, -16, -16, 26, -23],\n [0, 14, 6, -23, 13, 23, -9, 23, -4, -26],\n [0, 0, -2, 5, -4, 25, -21, -12, -15, 1],\n [0, 0, 0, 8, -23, 17, 4, 22, 7, 8],\n [0, 0, 0, 0, -28,... | 560 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -9, -23, -4, -27, 21, -9, -16, -15, -13],\n [29, 12, -11, -6, -3, -13, 23, 27, -4, -4],\n [-12, -6, -17, 2, 15, -24, 28, -8, 7, -1],\n [-28, 20, 24, -24, -10, 2, 9, 12, -16, 11],\n [-29, 12, -2, -4, 12, 13, 22, 20, -8, 27],\n [1, 29, 22, -12, -25, 11, ... | 48 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[13, 23, 22, -20, -1, 22, 6, 7, -4, 15],\n [23, 16, -17, 14, 20, -18, 2, 8, -1, 9],\n [22, -17, 21, 1, -10, -16, -8, -10, -22, 15],\n [-20, 14, 1, -8, 18, -3, -1, 2, 5, -1],\n [-1, 20, -10, 18, -23, -9, 6, 22, -24, -8],\n [22, -18, -16, -3, -9, 13, -16, 2,... | 830 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, -5, 17, -8, 12, -11, 15, -26, 14, 10],\n [0, 27, 22, -27, 14, 26, 21, -27, -19, -1],\n [0, 0, 7, -29, 3, 10, 18, 4, 5, 20],\n [0, 0, 0, -22, 20, 13, -8, 30, -9, -7],\n [0, 0, 0, 0, -7, 22, -17, -22, 29, -7],\n [0, 0, 0, 0, 0, -10, 29, 7, 28, 28],\n [0,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, 13, -2, -1, 29, -27, 9, -2, 24, 22],\n [0, -7, -20, -5, -30, -25, -1, -7, 12, -2],\n [0, 0, -12, 12, 15, 11, 18, 30, -15, -2],\n [0, 0, 0, 3, 26, 11, 22, 30, 29, -13],\n [0, 0, 0, 0, -18, -24, -28, 15, -4, 1],\n [0, 0, 0, 0, 0, 23, 16, 21, 12, -27],\n... | 80 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-26, -9, 22, 20, -3, -18, 25, -8, 27, 1],\n [0, 30, 20, 25, -27, -2, 18, 24, 7, -12],\n [0, 0, -3, 22, 29, -8, -12, -18, 8, -19],\n [0, 0, 0, -8, -7, -17, 16, -18, -6, -17],\n [0, 0, 0, 0, -15, 30, -22, 23, -10, 3],\n [0, 0, 0, 0, 0, 3, 22, -26, 28, -18],... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, 4, -14, 14, 6, -6, 12, -17, -12, -24],\n [4, -21, -16, 20, -7, 20, -19, -8, 8, -3],\n [-14, -16, -5, 16, 24, -3, 14, 0, 15, 10],\n [14, 20, 16, 10, -3, -16, 2, -2, -5, 20],\n [6, -7, 24, -3, -3, 0, -6, 0, 11, -10],\n [-6, 20, -3, -16, 0, -26, 24, -6, 16, 6],\n ... | 565 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[6, -30, 25, -29, -16, 1, 27, -26, 27, -16],\n [-25, -7, -7, -10, 1, -8, 29, -28, 17, 3],\n [-17, 9, 3, -12, 3, 23, -29, 17, 17, -6],\n [-15, 17, -23, 1, -4, -6, 6, 21, 12, 5],\n [21, 27, -6, -12, -12, 29, 1, 6, -7, -15],\n [-15, -24, -18, -21, 23, 3, 13, -... | 776 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 13, 3, 18, -13, 1, -11, 20, 5, -23],\n [14, -16, -10, -25, 11, 24, -6, 19, -6, -12],\n [15, -19, 7, 0, 5, 16, -6, 17, -13, 11],\n [21, -8, -27, -28, 3, 6, -3, -14, -10, 3],\n [-17, -21, 12, -8, -17, 1, -15, -27, 3, 7],\n [-14, 19, -16, 15, 7, 0, -7, -5... | 477 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 24, 20, -16, 13, -14, 22, -14, -8, -22],\n [24, -12, -17, 2, 6, -6, 8, 16, 12, 12],\n [20, -17, -6, 17, 4, -12, -14, 8, -5, -5],\n [-16, 2, 17, -14, -7, -22, 0, -10, 4, 16],\n [13, 6, 4, -7, -14, -18, -4, 20, -9, -6],\n [-14, -6, -12, -22, -18, 21, 16, -13, 1... | 234 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 8, -4, 0, 22, 12, 8, -6, -6, -10],\n [8, -8, 18, -2, -6, 5, -8, -4, 18, 1],\n [-4, 18, 3, 3, 3, -12, -7, -2, -2, 20],\n [0, -2, 3, 25, -1, -8, 5, 2, 4, 6],\n [22, -6, 3, -1, 19, -4, 4, -11, 2, 0],\n [12, 5, -12, -8, -4, 19, 1, 0, 3, -14],\n [8, -8, -7... | 452 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[14, -25, 0, -10, 30, 5, 22, 21, 12, -13],\n [22, 14, -28, -6, 23, -3, -29, -16, -4, -16],\n [-16, 17, 27, 5, 2, 3, 30, -8, -19, 7],\n [1, -13, -14, -20, 4, -9, 8, -26, -6, -20],\n [-2, 15, 27, -27, 6, 10, -11, -17, 6, 22],\n [-28, 30, -19, 6, -6, 15, -26, 28, -14,... | 418 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, 11, 20, 23, 7, 1, 5, 9, 5, 27],\n [0, -2, 30, 2, -8, 24, -26, 14, -21, -7],\n [0, 0, -14, -29, 7, 16, 25, 28, 17, 16],\n [0, 0, 0, -27, 29, -23, 28, -1, -6, -29],\n [0, 0, 0, 0, -7, 24, ... | 352 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, -15, -7, 16, 10, 10, 16, 8, -18, 16],\n [-15, 13, 18, -22, -10, 0, 15, 10, -1, -2],\n [-7, 18, 28, -12, 15, 14, -6, -3, -22, -10],\n [16, -22, -12, -9, 4, 14, 6, -1, -16, -2],\n [10, -10, 15, 4, 25, 18, 15, 1, 4, -24],\n [10, 0, 14, 14, 18, -25, -24, -6... | 693 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -22, -17, -4, -25, -14, -22, 19, -2, 14],\n [-22, -18, 0, -12, 23, -21, -15, -13, -24, -25],\n [-17, 0, -25, 28, 18, -4, 4, -24, -4, 6],\n [-4, -12, 28, -8, 18, 6, 21, -2, -21, 0],\n [-2... | 817 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -10, -17, -1, -19, 25, -26, -5, 7, 11],\n [-11, -30, 19, -10, 12, 3, -4, -6, -23, -17],\n [8, -18, 5, 3, -27, 20, -2, 24, 0, 14],\n [-25, 29, 6, 6, -19, 29, 25, -11, -4, -28],\n [-12, -2, 14, 10, 26, 9, -21, -24, -14, 23],\n [-26, 29, -26, -22, -2, 27, 30, 7, ... | 703 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-27, 14, 2, -6, 8, 3, 0, -22, 7, 2],\n [14, 29, 8, -4, -25, 11, -13, -22, 10, 0],\n [2, 8, 4, -4, -24, 8, -12, 16, 15, 15],\n [-6, -4, -4, 21, -8, -18, 23, 8, 8, -4],\n [8, -25, -24, -8, -21... | 252 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, 4, -21, 7, -17, -30, 5, 23, -24, -25],\n [0, -21, -25, 15, 22, -10, 5, -2, -25, -11],\n [0, 0, 1, -17, -27, 22, -28, -22, 30, 21],\n [0, 0, 0, -2, -28, 17, 16, -9, 5, -22],\n [0, 0, 0, ... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 23, -24, -8, 8, -14, 27, 17, -27, 0],\n [0, 4, 10, -29, 26, -19, 22, 25, -7, -25],\n [0, 0, -25, -19, 15, 14, 3, 25, -11, 13],\n [0, 0, 0, -8, 17, 16, 27, -26, 1, 13],\n [0, 0, 0, 0, -23, 4, -26, -19, -29, -3],\n [0, 0, 0, 0, 0, -16, -18, -20, 19, 7],\... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-20, 23, -13, -16, -6, 21, 20, -18, 14, 9],\n [0, -20, -15, -3, 24, -13, -6, -5, -8, 30],\n [0, 0, -8, -15, 3, -26, -1, 22, 13, -14],\n [0, 0, 0, -29, 21, 20, 23, 16, -26, 9],\n [0, 0, 0, 0, 11, 22, -28, -21, 13, 13],\n [0, 0, 0, 0, 0, -9, 14, 23, 24, 3],\... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -20, -1, -7, -4, 4, -8, 13, -2, 10],\n [-20, 20, -20, -14, 4, 0, 0, 12, -10, 13],\n [-1, -20, 16, -11, 16, -19, 22, 14, 12, -16],\n [-7, -14, -11, 23, 18, 26, 6, -14, 30, -14],\n [-4, 4, 16, 18, 23, -6, -18, 12, 3, 2],\n [4, 0, -19, 26, -6, 25, 17, 8,... | 620 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, -7, 1, 21, -21, 27, -15, -29, 5, -24],\n [0, 5, 30, 23, 18, 4, 1, -19, -7, -17],\n [0, 0, 11, -24, 9, -26, -12, 8, -30, 25],\n [0, 0, 0, -22, 8, 11, -27, -29, -11, 14],\n [0, 0, 0, 0, 1... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-29, -5, -22, -17, 2, 2, 18, -5, 6, -6],\n [-5, 9, -2, 9, -4, -6, 12, 10, -4, 5],\n [-22, -2, -18, -18, -4, 4, -12, 9, -14, -14],\n [-17, 9, -18, 19, -11, -2, -8, -16, -10, -12],\n [2, -4, -4, -11, -28, -24, 16, -22, 18, -10],\n [2, -6, 4, -2, -24, 13, 1,... | 96 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, -20, 16, -28, 7, 19, -21, 27, 5, -15],\n [0, 5, -9, -20, 18, 18, 9, -12, -23, 0],\n [0, 0, 11, -26, -11, 8, 0, 21, 1, 17],\n [0, 0, 0, 23, -5, 28, -6, 24, -3, -16],\n [0, 0, 0, 0, -... | 200 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[20, 4, -22, 5, 12, 2, 0, -13, 3, -10],\n [4, 12, -11, 2, -6, 8, 23, 18, 2, 10],\n [-22, -11, -10, -4, -16, -22, 0, 2, 1, 8],\n [5, 2, -4, 25, 9, -13, -5, -7, 10, 8],\n [12, -6, -16, 9, 3, -4, 0, 4, 24, -4],\n [2, 8, -22, -13, -4, -29, 10, 2, -9, 2],\n [0,... | 205 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-20, -23, 0, -18, -16, -26, 7, -22, -12, 0],\n [-23, 15, -1, -2, 6, -4, 24, 8, -28, -18],\n [0, -1, -6, -6, -20, -8, -1, 9, 4, -20],\n [-18, -2, -6, -4, 25, 1, -6, 4, 6, 2],\n [-16, 6, -20, 25, -30, -6, -19, 8, -2, -10],\n [-26, -4, -8, 1, -6, 17, -12, 20... | 517 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-24, 10, 17, -8, 24, 17, 27, 3, 2, 25],\n [3, 1, -29, -24, 26, -21, -5, 25, 8, -24],\n [30, 16, -12, -27, 16, 9, -23, 21, 14, 1],\n [22, -18, -9, -5, 29, -10, 12, 16, -16, 1],\n [29, 2, 18, ... | 530 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, -23, -3, 5, 4, -26, 6, 12, -10, -6],\n [-23, -15, 0, 6, 2, 10, -6, -14, -11, -20],\n [-3, 0, 11, 3, -8, 2, -17, 23, 11, -20],\n [5, 6, 3, 20, 18, -1, 16, 12, -14, -3],\n [4, 2, -8, 18, 2... | 95 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[17, -6, 2, -2, 18, -7, 12, 2, -16, 20],\n [-6, -24, -4, -11, -8, 5, 12, 0, 6, -6],\n [2, -4, 27, 19, -10, 1, 24, -3, 2, 13],\n [-2, -11, 19, 7, 4, -18, -11, -10, -7, -15],\n [18, -8, -10, 4,... | 489 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, -19, -25, 1, -20, -14, 20, 22, -7, -3],\n [0, -9, -15, -16, -4, -10, -20, 26, -12, -27],\n [0, 0, -28, -16, -16, 30, -4, -12, 8, -1],\n [0, 0, 0, -30, -30, -2, 22, -11, 28, -13],\... | 280 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-25, 0, -24, 21, -7, -2, -29, 26, -11, -16],\n [3, -2, -1, -23, 22, -5, -20, -23, -10, -20],\n [-3, 2, -6, 22, -1, 9, 27, 27, 13, 27],\n [13, -20, 7, 5, 9, -19, -16, 27, 9, 5],\n [30, ... | 537 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 3, 25, 19, 19, -4, -20, -11, 9, 12],\n [0, -29, -20, -5, 9, 16, -1, 9, -4, -25],\n [0, 0, 21, -27, -11, 27, 27, 25, 9, -11],\n [0, 0, 0, 6, 17, -18, -30, 7, 20, 23],\n [0, 0, 0, 0, 26, 2, -12, -18, 14, -10],\n [0, 0, 0, 0, 0, 27, -25, -29, -2, 15],\n [0... | 168 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, -2, -12, 6, 10, 2, 9, -10, 14, -1],\n [-2, 15, 4, -14, 4, -2, -20, -12, -2, 8],\n [-12, 4, 15, -6, -2, -12, -7, 6, 6, 10],\n [6, -14, -6, -16, -16, 3, 5, 2, 5, -18],\n [10, 4, -2, -16, -7, 28, -6, -2, 14, -8],\n [2, -2, -12, 3, 28, -20, -6, -10, 2, 6]... | 831 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -6, -8, 3, -11, 17, 20, 24, 22, -15],\n [0, 17, 27, -9, -12, -16, -17, 6, 24, 8],\n [0, 0, 3, -10, -30, 2, -11, 25, 18, -22],\n [0, 0, 0, -30, 5, 16, 14, -26, -15, 17],\n [0, 0, 0, 0, -5, 20, 17, 13, -14, 17],\n [0, 0, 0, 0, 0, 27, 7, -25, 10, -12],\n... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 13, -25, 1, 9, -4, -20, 13, 26, -28],\n [-14, -25, -21, 1, -18, 21, -19, -20, -25, -19],\n [1, -15, -6, -30, 24, -12, 25, -2, 25, 30],\n [18, 9, 19, -28, 15, 13, 11, 12, -14, -11],\n [14, -2, 11, -23, -14, 16, 24, -1, 20, -28],\n [28, -24, 29, 11, -7, 1, -22, ... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-25, -2, -8, -12, 8, 5, -21, 18, 1, 18],\n [-2, 0, -8, -6, 2, -3, 16, 16, -12, -6],\n [-8, -8, 6, -12, 8, -8, 5, 20, -2, 11],\n [-12, -6, -12, -8, -13, -6, -6, 26, 5, -27],\n [8, 2, 8, -13, -3, 8, -9, -6, -4, 0],\n [5, -3, -8, -6, 8, -6, 12, -6, 20, 4],\n [-21, 16... | 313 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-25, -26, -18, 15, 22, 8, -21, -26, 12, 6],\n [-26, 26, -4, 4, -19, 17, 2, 8, 19, 4],\n [-18, -4, -24, -6, -26, -7, -17, -8, 14, 3],\n [15, 4, -6, -29, -12, -14, -2, 0, -15, -18],\n [22, -19, -26, -12, 28, 4, 7, -17, -6, -19],\n [8, 17, -7, -14, 4, -27, -6... | 149 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 1, -14, -17, -6, -10, -2, 7, 3, 2],\n [1, 12, -22, -2, 6, -14, 14, 6, 8, -6],\n [-14, -22, -29, 9, 9, 6, 2, 9, -4, -4],\n [-17, -2, 9, 5, 16, -10, 22, 26, 21, 17],\n [-6, 6, 9, 16, -2, -2, 0, 10, -6, 10],\n [-10, -14, 6, -10, -2, -30, 10, -6, 25, -27],... | 274 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, -27, -7, -15, -29, 16, -13, 20, 2, 24],\n [21, 13, -2, 20, -6, 9, -29, 21, -4, 1],\n [-14, 28, -20, 23, 10, 5, 26, 6, 21, 27],\n [-29, -2, -6, -26, 25, 5, 15, 2, -25, 3],\n [30, -18, 15, 7, -23, -4, 26, 28, -10, 3],\n [3, -8, -20, 21, -27, -16, 11, 25, 0, 16],... | 135 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, -6, -22, 20, -3, 7, -23, 17, 10, -18],\n [12, 30, 17, 20, 29, 1, 0, 10, -27, -22],\n [-28, -21, -29, 23, -15, 22, 28, -12, 17, -10],\n [16, -15, -18, -10, 21, -20, 17, 0, 4, 9],\n [26, 12, 26, 26, 13, -29, -2, -15, -26, -8],\n [-29, 24, -5, -13, -25, -17, 26,... | 752 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -21, -28, -21, -25, -6, 8, -16, 5, 24],\n [0, 6, 22, 25, -18, 17, 18, 7, 18, 30],\n [16, 13, 28, -23, -24, -28, 24, -8, 6, -23],\n [-17, 19, -24, 20, -21, 13, -22, 24, -2, -14],\n [-13, 11, -26, -23, 28, -11, -30, 4, 6, -15],\n [10, -7, 10, -2, -10, 2... | 70 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -24, 4, 24, -22, -21, 14, 12, -17, -4],\n [0, 17, -19, 30, 18, 28, 6, 29, -17, 12],\n [0, 0, 11, 3, 12, -17, -22, -14, -28, 10],\n [0, 0, 0, -10, 28, -27, -9, -22, 7, 3],\n [0, 0, 0, 0, -28, 5, -5, 13, 27, -18],\n [0, 0, 0, 0, 0, -7, 13, -15, 26, -5],\... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-25, 13, -4, 18, 0, -16, -12, -24, -8, 5],\n [13, 0, 14, -6, -20, 0, -19, -6, -2, -7],\n [-4, 14, 24, -2, -13, 3, -11, -16, 23, 17],\n [18, -6, -2, 12, -2, 6, -15, 2, 6, 2],\n [0, -20, -13, -2, -14, -7, -9, 4, 0, 8],\n [-16, 0, 3, 6, -7, -3, -6, -24, 4, -14],\n [-... | 78 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, 16, 14, -25, 14, -11, 28, 26, 0, -9],\n [0, 13, -30, 11, -22, -18, 10, 14, -8, -22],\n [0, 0, 11, 26, 10, 25, 7, 1, 26, 24],\n [0, 0, 0, 25, -21, -24, -15, 23, -28, -10],\n [0, 0, 0, 0, -13, 1, -22, 0, -2, 15],\n [0, 0, 0, 0, 0, 4, 30, -27, -23, 6],\n ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[14, -19, 17, -24, -6, -24, 15, -25, -19, -13],\n [-14, 10, 11, -10, 6, 21, -8, 23, -20, -5],\n [25, 27, -16, -5, -19, 26, 4, -22, 4, 24],\n [-22, 12, 29, 22, -10, 11, 26, 14, 21, 14],\n [-25, 20, 20, 22, -17, -2, 22, 25, 0, -20],\n [-23, -28, -28, 29, -9, -14, -23... | 793 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[22, -7, 7, -26, 9, 29, 3, -20, 4, 28],\n [23, 7, -28, -1, -1, -19, 13, -26, -19, 23],\n [15, -29, -9, 30, -6, 25, 2, -26, -17, 28],\n [12, -22, 28, 5, -22, -26, -24, -25, 9, 17],\n [21, 27, -23, 21, -9, 0, -23, 28, -14, -19],\n [25, 30, 21, -12, 4, -16, 1... | 867 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, -15, 5, -21, -27, 18, 8, -2, 21, 27],\n [0, 1, -28, -23, 5, 20, 5, -23, -10, 21],\n [0, 0, 11, -26, 16, 20, 22, 24, -23, -16],\n [0, 0, 0, -30, 1, 25, -26, -18, -17, -13],\n [0, 0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -5, -4, 6, 2, 2, -22, -16, -6, -5],\n [-5, -28, 9, 2, 12, 2, -9, 8, 2, -23],\n [-4, 9, -1, -26, -16, 6, -16, -18, -18, 6],\n [6, 2, -26, 25, 6, 22, 11, -4, 0, 2],\n [2, 12, -16, 6, -9, -7, 6, 14, -2, 0],\n [2, 2, 6, 22, -7, 16, 8, -3, 2, -10],\n [-22, -9, -16,... | 482 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -10, -12, 29, 29, -9, 28, -7, 28, -8],\n [0, -9, -23, -30, -5, -28, -11, 28, 4, -24],\n [0, 0, -21, -12, 4, 27, -10, 17, 20, 28],\n [0, 0, 0, 12, 25, -15, 18, -14, 23, 12],\n [0, 0, 0, 0, 13, 27, -18, -15, -19, 30],\n [0, 0, 0, 0, 0, 26, -30, 27, 23, ... | 224 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, 25, 22, 30, 17, 30, -25, 27, -4, -15],\n [29, -26, -20, 16, -14, 10, 8, 2, -18, 28],\n [22, -6, -16, -15, -1, -30, -11, 12, 17, 7],\n [-23, -20, -16, 29, -9, -6, 7, -2, -8, 28],\n [12, -27, 16, -12, 16, 7, -21, -29, -5, -29],\n [17, 18, 14, 10, 27, -... | 535 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -23, -6, -28, 13, 15, -25, 14, 7, 27],\n [0, -11, 2, -6, 7, -12, -19, -8, -11, 10],\n [0, 0, -3, 5, -1, 28, -8, 19, 0, -29],\n [0, 0, 0, -29, -16, 11, 8, -29, -3, 2],\n [0, 0, 0, 0, -4, 1... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-27, -18, -12, 21, 26, 12, 2, 9, 14, -16],\n [-18, -16, 0, -8, 14, -12, 2, -28, 6, 1],\n [-12, 0, -20, 9, -26, -10, -6, 10, -10, 21],\n [21, -8, 9, 21, -22, -20, 6, -14, -21, -14],\n [26, 14, -26, -22, -5, -23, -2, -2, 16, -6],\n [12, -12, -10, -20, -23, ... | 756 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -16, -28, 8, -6, 0, -14, -4, 0, 10],\n [-16, -17, 21, 21, 7, 13, 6, -28, 17, -10],\n [-28, 21, 25, 16, -6, -15, -14, -18, 16, -3],\n [8, 21, 16, -22, 21, 7, -18, 2, 4, 4],\n [-6, 7, -6, 21, 3, 10, 24, 4, 16, -4],\n [0, 13, -15, 7, 10, -2, 23, 22, -20, 8],\n [-... | 146 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, -21, -16, -22, -24, -14, 7, 9, -5, -30],\n [28, -19, 27, 1, 24, -7, 6, 14, -12, -18],\n [1, -13, 27, 6, 25, -27, -16, 15, -15, 5],\n [-23, 21, -7, -3, -12, -14, 6, -18, -29, -23],\n [-17, -13, -7, -14, 27, -14, 5, 5, 22, -13],\n [-17, -3, -4, -30, -1... | 159 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 17, -3, -6, 14, 19, 11, -21, 23, 28],\n [12, 15, -19, 24, -19, -10, 1, -23, -21, -18],\n [-27, 20, 21, -25, 27, 26, 28, -10, -27, -22],\n [27, 10, -21, 11, -13, 1, -20, 1, 7, 0],\n [29, -25, 14, -28, -16, 28, 7, 9, -26, 26],\n [10, 13, 1, -19, 11, -15,... | 680 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -30, -24, 19, -16, -30, 20, 20, 2, 29],\n [0, -20, -5, -27, 9, -14, 12, -15, -12, -6],\n [0, 0, 2, 11, -9, -9, 27, -14, -30, -3],\n [0, 0, 0, 30, -5, -8, 17, -18, -15, -23],\n [0, 0, 0, 0, -13, 21, 25, -1, 7, 0],\n [0, 0, 0, 0, 0, -28, -21, -20, -13, 4],\n [0,... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, 28, -7, 13, -5, -4, -4, -18, -25, -20],\n [-26, -1, -15, -25, 6, 9, -23, 11, -8, -26],\n [-20, 16, -24, 5, -4, 23, 18, 26, 6, -20],\n [7, -21, 21, 7, 11, 17, -17, 25, 28, 3],\n [-24, -7, -21, -5, 5, 21, 18, 14, -1, 10],\n [29, 19, 22, 7, -11, -4, 16, -12, -24... | 490 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[15, -8, -4, 6, 16, -6, 24, -2, 2, 0],\n [-8, 26, -4, 14, -8, 6, 0, 8, 12, -1],\n [-4, -4, -11, -26, 20, -3, -2, 18, -6, -16],\n [6, 14, -26, -22, 24, 4, -2, 0, 10, -1],\n [16, -8, 20, ... | 899 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -15, 18, 22, -14, -18, 22, -30, 10, 7],\n [-20, -8, -24, -28, 6, 1, 9, -11, 8, -15],\n [19, 28, 21, 9, 27, -24, 5, -9, 19, -6],\n [6, 30, 12, 16, 6, 18, -10, -10, 2, 6],\n [-29, -9, -9, 3, 15, 2, 25, 18, 23, -3],\n [-25, -9, -30, -9, 10, 15, -15, 1, 15, -3],\n ... | 352 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[22, -12, 14, 26, 14, 18, -12, -20, -8, -2],\n [-12, 1, -6, 8, 10, -2, -3, -13, -26, 7],\n [14, -6, 7, 7, -5, -10, 24, 6, -6, -15],\n [26, 8, 7, 7, 15, 1, -22, 14, 23, 21],\n [14, 10, -... | 497 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[23, -26, 29, 29, -3, 24, 26, 4, 9, 16],\n [-13, 20, -3, 11, -21, -21, -1, -4, -5, -10],\n [-10, -27, -6, -3, -6, 29, 1, 29, 11, 4],\n [3, -8, -5, -11, -27, -21, 15, 4, -28, -27],\n [-1... | 120 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, -16, -23, 27, -25, -10, 29, -11, 18, 20],\n [18, 29, -4, -18, 21, -18, 1, 14, -11, 6],\n [3, -10, 0, 3, -22, 18, -30, 17, 17, 22],\n [11, 12, 20, 7, -3, 3, -21, -30, 25, 19],\n [-29, 30,... | 692 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, 26, 12, 11, 0, 0, -24, -20, 25, -3],\n [26, 24, -16, 21, 18, 0, -6, -26, -14, 20],\n [12, -16, -7, 18, -12, 5, -3, -14, -24, -14],\n [11, 21, 18, -10, 25, 0, 4, 17, -8, 22],\n [0, 18, -... | 483 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 11, -2, -5, -16, -22, 7, 10, -14, 26],\n [0, 25, -13, -7, -26, -22, -11, 28, 9, -10],\n [0, 0, 4, -5, 3, 17, -11, 6, 23, -28],\n [0, 0, 0, 15, 0, -22, 2, -3, 18, 0],\n [0, 0, 0, 0, 20, 18, -2, 27, -5, 0],\n [0, 0, 0, 0, 0, 21, 18, 0, -13, -9],\n [0, 0... | 0 | MATH |
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