messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Determine the value of det(A) where A =\n[[33, 13, -4, -31, -28, -31, -34, 27, 0, -4, -14, 34],\n [0, -8, 9, -4, 5, -5, 26, 16, -14, 15, 33, -16],\n [0, 0, 18, -33, -19, -7, 31, 2, -21, 1, 5, 13],\n [0, 0, 0, -7, -32, 5, -29, 1, 27, 7, -17, 1],\n [0, 0, 0, 0, 28, -19, 17, 10, -30, 21, 33, -2],\n [... | 840 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[28, 24, 6, 6, 13, -7, -8, -13, -8, -9, 12, -12],\n [24, -22, -8, -33, 12, 12, -20, -21, -8, 8, -2, -11],\n [6, -8, -29, 14, 18, -14, 28, 19, -18, -18, -6, 10],\n [6, -33, 14, 23, -2, 16, 11, -10, 8, -12, -10, -6],\n [13, 12, 18, -2, 6, 16, -18, 7, -12, 0,... | 880 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -2, 7, 8, 8, 6, 34, -7, 1, -10, -9, 6],\n [-2, 25, 23, 9, -10, -20, 28, -2, -13, 16, -13, 12],\n [7, 23, 2, 0, 0, -1, 11, -26, 23, -10, -8, -10],\n [8, 9, 0, 9, -28, 0, -28, -4, -1... | 368 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[22, -2, -33, 34, 2, -32, -14, -16, -19, 19, -3, -14],\n [0, 24, 3, -32, -28, -15, 21, -34, -13, 4, -5, -2],\n [0, 0, -8, -3, 19, -4, -13, 2, -32, -8, -14, -2],\n [0, 0, 0, -19, 22, -27, -22, 4, -8, -21, -10, -7],\n [0, 0, 0, 0, -31, -11, -27, 10, 15, 10, -... | 951 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -8, -17, -24, 4, 17, -12, 0, -7, 10, 16, -12],\n [-8, 34, 4, 8, 4, 12, 4, -1, 14, -26, -24, 14],\n [-17, 4, -9, -12, 28, 16, -2, 4, -12, -14, 6, 1],\n [-24, 8, -12, -23, -24, 0, -17, -1, 10, 16, -11, -1],\n [4, 4, 28, -24, -17, 22, 18, 12, 18, 2, -14, 27],\n [1... | 168 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, -5, -31, -25, 11, -18, 18, 0, 29, 35, 25, 0],\n [-25, -7, 0, -31, 25, 19, -3, -21, -12, 1, 5, 33],\n [-35, 29, 12, 11, -15, 25, 21, 16, 10, 7, -32, 17],\n [-2, 3, 25, 15, 27, 13, 26, -11, -21, 20, -3, 31],\n [-34, 10, -34, -12, -21, -17, -11, -6, -19, -12, -4... | 384 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[19, -1, 3, -14, -2, -32, 22, -30, -7, -14, 16, 0],\n [0, 22, 34, 21, 19, 26, 23, 26, 14, -23, 16, -26],\n [0, 0, -11, 30, -35, 20, 5, -14, 25, 20, 6, -29],\n [0, 0, 0, 27, -5, 25, -1, -19, 4, -21, 14, 31],\n [0, 0, 0, 0, 25, -7, 8, -32, 5, -11, -10, 12],\n... | 2 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[21, 31, 0, -26, -26, 34, 24, -10, 21, 1, 29, -30],\n [0, -8, 24, -10, 2, 22, 9, -34, -21, -20, 19, -19],\n [0, 0, 19, -26, 8, 35, 14, -11, 18, -27, 0, 16],\n [0, 0, 0, 29, 25, -11, 27,... | 999 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, 4, -3, 2, 16, 26, 10, 0, 12, -17, 0, 2],\n [4, -18, 4, 6, -24, 14, -12, -12, 34, 3, -4, -2],\n [-3, 4, -17, -20, 6, -9, -14, 24, -1, -2, 1, -13],\n [2, 6, -20, 17, 8, 24, 3, 9, 22, 20, -2, 20],\n [16, -24, 6, 8, -29, 19, 18, 11, 4, -15, 24, -12],\n [2... | 144 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, 10, 15, 8, -1, -24, -16, -13, 26, -2, 24, -29],\n [28, -1, 20, 11, -26, -31, 10, 19, 10, -2, 26, 3],\n [-31, -9, 20, 27, 0, 8, -18, -7, -19, -5, -13, -10],\n [-3, -28, -29, -17, -25, -27, 25, -15, -12, -35, 34, -13],\n [24, 21, -31, 7, 24, 29, 26, -11, 23, 13,... | 56 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-28, -23, -24, 0, -16, 6, -9, 22, -30, 21, -30, 11],\n [-35, -27, -11, 9, -4, -20, 8, -27, -11, 5, 35, 17],\n [-2, 35, -10, 18, -31, 28, -5, 20, -30, 22, -14, -27],\n [-8, 14, -9, -19, 35, -10, 26, -8, 3, 11, -30, 17],\n [-12, -12, -16, -17, -26, 21, 1, -24, 21, -... | 880 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, -19, 8, 8, -1, -8, 27, -4, -20, -12, -34, -26],\n [-19, -5, 30, 2, -28, -2, 3, 0, 20, -10, -12, 6],\n [8, 30, -18, 2, 18, -14, -27, -4, -20, -15, 5, 14],\n [8, 2, 2, -25, -31, -12, -24, 12, -12, 28, 1, 30],\n [-1, -28, 18, -31, 28, 1, 12, 0, 2, -8, -22, -7],\n ... | 528 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 8, 12, 19, 26, -24, 33, 7, 31, -30, -29, 3],\n [0, 20, -21, 15, -7, 16, -2, 30, 25, 15, -5, -29],\n [0, 0, 30, -15, -12, 1, -31, 33, -26, -12, -35, 11],\n [0, 0, 0, -27, -4, -26, 25, 7, ... | 942 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 1, -17, -7, -10, -10, 24, -17, -12, -34, -34, 33],\n [20, 22, -2, -34, -19, 22, 7, -31, -9, -23, -27, 26],\n [18, 26, 3, 1, 24, 28, -16, -11, 22, -4, -33, -5],\n [-5, -32, 24, 35, -... | 912 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[34, -18, -14, 29, -16, -26, -8, -31, -3, -27, -8, -23],\n [31, 1, 2, -30, 28, -3, -14, -4, -1, 13, 16, 13],\n [-33, 8, -35, 31, 28, -16, -1, -15, 8, 28, -22, 0],\n [15, -11, -28, 30, -10, -17, 13, -13, 19, 11, -8, -18],\n [34, -29, 16, -35, 31, -9, 27, 28,... | 328 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, 31, -22, 0, -12, -25, -31, 35, 19, 21, -35, 25],\n [0, 29, 20, 30, 25, 6, -35, -17, -12, -34, 13, 10],\n [0, 0, 28, 0, -2, 23, 17, 3, -4, 10, 16, -30],\n [0, 0, 0, -32, 20, -16, -... | 969 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, -15, -20, 15, -18, -10, -13, 24, 31, 32, -8, 3],\n [0, 8, -15, 0, -25, 0, 10, -15, -17, -8, -34, -28],\n [0, 0, 25, -24, -15, -14, -22, -6, 16, -16, -30, -34],\n [0, 0, 0, 26, 29,... | 995 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[27, 22, 1, -20, 19, -8, 29, 17, -6, 28, 10, -27],\n [12, -14, 11, -17, -33, 19, -24, 26, -17, -29, -4, -19],\n [-21, 7, 34, 23, 15, 13, 5, 10, 1, -3, 21, 32],\n [3, -18, 20, -22, -19, -15, 25, -10, 0, 15, 18, 24],\n [24, -2, -11, 33, -8, -2, -10, -8, 14, 1... | 992 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[34, -2, 2, -16, 6, 16, 32, 26, 29, 10, -10, 4],\n [-2, -20, -7, -2, -32, -6, 19, 23, -17, -32, 4, -17],\n [2, -7, 8, 4, -24, 4, 1, -4, 16, 0, -18, -5],\n [-16, -2, 4, 14, 10, 0, -12, 12, 2, -2, -2, 6],\n [6, -32, -24, 10, -24, -32, 6, -11, -34, 26, -22, 9],\n [16,... | 992 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 30, -13, 20, -35, -33, 10, -2, -28, 1, 11, -2],\n [0, 9, 16, 35, -2, -26, 22, 23, 23, -7, -2, -4],\n [0, 0, -10, -8, 2, -27, 5, -21, 17, -29, 13, 6],\n [0, 0, 0, 33, 9, -23, -19, 13, 5, -2, 5, 27],\n [0, 0, 0, 0, -1, -1, 34, 16, -11, -4, -23, -10],\n ... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, 4, 0, -24, 14, -13, -18, 2, 0, 17, -28, 14],\n [4, -4, -20, -9, -4, 12, -19, 6, 2, -15, -4, -17],\n [0, -20, -35, 10, -28, 4, -14, 2, 12, 4, -9, -10],\n [-24, -9, 10, 2, 18, -16, 2, -2,... | 992 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, 17, -1, -23, -10, -33, 12, 25, 7, 10, -18, 30],\n [1, -11, -4, -8, -29, -33, 15, -26, 4, -6, -22, -30],\n [-2, 30, 34, 16, -27, 25, 30, 19, 5, 9, -15, -3],\n [-6, -15, -24, -3, -7, 25, 30, -26, -6, 15, -27, -15],\n [27, -14, -27, -14, -27, -29, 20, -10... | 912 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[27, -28, -18, -2, 29, 6, -16, 1, -21, -21, -28, 24],\n [-28, 24, -14, -9, -10, 6, 22, -34, -16, 14, -4, -8],\n [-18, -14, -9, 22, 2, -25, 1, 1, -14, -27, -21, 1],\n [-2, -9, 22, 25, 25, -2, 4, 12, -10, 16, 0, 0],\n [29, -10, 2, 25, -33, -4, -2, 7, -5, 0, ... | 632 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[27, -29, 16, -5, 27, -27, 12, -34, -15, 30, 5, -20],\n [0, 15, -5, -23, -22, -6, 0, -13, -26, 10, 4, -18],\n [0, 0, 32, -20, 27, -35, -22, 15, -22, 21, 2, 30],\n [0, 0, 0, -27, 28, 4, 0, -9,... | 752 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-26, 5, -12, -20, 16, 22, -11, -26, -30, -5, -11, 2],\n [0, -7, -33, 3, 30, 23, 1, 34, -17, -13, 24, -16],\n [0, 0, 25, 31, 22, -14, 17, -27, 1, -7, -18, 12],\n [0, 0, 0, 6, 10, -7, 30, 18, 19, 32, -22, -34],\n [0, 0, 0, 0, -10, 22, 13, 35, -11, -31, -19, ... | 997 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[26, -26, 14, 18, -8, -6, 0, -20, -8, -19, -20, 6],\n [-26, -34, -20, 8, 4, -1, 10, 27, 0, -16, 18, 12],\n [14, -20, -11, -10, -2, 2, -4, -12, 0, -23, -17, 32],\n [18, 8, -10, -14, 28, -8, 28... | 872 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-17, -7, 2, 26, -28, -14, -22, 2, 0, -2, 10, 4],\n [-7, -18, 4, -10, 14, 31, 8, 16, -8, -22, 15, 5],\n [2, 4, -6, 0, 10, 14, 0, -23, 6, -2, -14, 8],\n [26, -10, 0, -21, 10, -18, 4, 4, -2, -9, -4, 2],\n [-28, 14, 10, 10, 26, 6, -8, 14, 18, -12, 20, -18],\n [-14, 31... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-24, 5, -14, -29, -9, 26, 8, 4, 20, -2, 20, -2],\n [5, 8, 0, -4, -5, -7, 3, -34, 12, 12, 18, 1],\n [-14, 0, -28, 9, 10, -10, 6, -15, 6, 13, -4, -11],\n [-29, -4, 9, -17, -15, 18, -8, 0, -24, -13, 0, 4],\n [-9, -5, 10, -15, -11, -18, -3, -10, 10, -19, -11, ... | 384 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, 30, -11, -6, 35, -31, 2, -34, 28, 17, 31, -23],\n [0, 8, -16, 30, -10, -29, -12, 9, -21, -12, 7, -35],\n [0, 0, -13, -15, -6, 3, -21, -5, -27, -18, 27, -8],\n [0, 0, 0, -35, -29, -26, -18, -32, -6, -18, -20, 19],\n [0, 0, 0, 0, 27, -1, -9, 26, 26, -3... | 7 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-32, -26, -25, 19, -35, -4, -27, 26, 13, 8, -29, -35],\n [0, 34, -33, -17, 29, -30, 0, -11, -19, -3, -31, -13],\n [0, 0, 25, 19, -28, 7, 32, 14, -29, 25, -31, -30],\n [0, 0, 0, -26, -8... | 593 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 10, -12, -26, 4, 12, -2, -9, 4, 12, 24, -12],\n [10, 9, -14, 3, -12, 6, 4, 0, 2, -8, -24, 8],\n [-12, -14, 20, -30, -24, 20, -20, 20, -2, 28, -16, 4],\n [-26, 3, -30, 26, 16, -12, ... | 672 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 2, 7, 8, 0, -19, 12, 22, 5, 2, 6, -24],\n [2, 32, -24, -28, -8, -10, -16, -8, -6, -22, -6, -2],\n [7, -24, 0, -1, 4, -18, 0, -24, -2, 30, 22, 20],\n [8, -28, -1, -6, -9, -22, 14, 9, 29, 16, 12, 0],\n [0, -8, 4, -9, -25, 24, 2, -18, 15, 10, 14, 17],\n [... | 64 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 7, 22, -8, -22, 10, -20, 16, -16, 7, 18, -3],\n [7, 11, 3, -13, 10, 4, 14, -20, -8, 0, -10, 6],\n [22, 3, 18, -10, 10, -22, 15, -24, 8, -28, 13, 2],\n [-8, -13, -10, -4, -6, 2, 4, -4, 19,... | 352 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, 24, -8, 22, 10, 20, -14, 14, 12, 0, 16, -30],\n [24, -25, 2, -8, 11, -20, 12, 17, -2, -10, -12, -27],\n [-8, 2, 26, -16, 11, -10, -23, 14, 6, -7, -20, 0],\n [22, -8, -16, -18, 12, -6, -10, 4, -1, -7, -12, 10],\n [10, 11, 11, 12, 13, 0, -27, 4, 26, -32, 11, 9]... | 72 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, -6, -1, 11, 25, 0, -22, 15, -10, -1, 18, 30],\n [0, 22, -5, -32, -11, -21, 30, 25, -29, -29, 16, -18],\n [0, 0, -35, -31, 19, -16, -11, 34, 19, 20, 8, 33],\n [0, 0, 0, 35, 19, -12, -17, -1, -34, -16, -2, -29],\n [0, 0, 0, 0, -4, 31, -2, -35, 25, -31, ... | 994 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, 8, 21, 10, 7, -34, 0, 29, 24, -15, -15, 34],\n [0, -20, 12, 14, 28, -30, 17, 6, 25, -29, -8, -35],\n [0, 0, 19, 30, 19, -22, -20, 9, 3, -31, 5, 10],\n [0, 0, 0, -22, 29, 6, 32, -3... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-22, -14, -26, -20, 4, 18, -1, 14, 0, -1, 20, 16],\n [-14, 4, -14, -15, 22, 10, -18, 27, 14, 16, -6, -5],\n [-26, -14, 1, 2, -24, 8, -6, -12, -4, -10, 5, 10],\n [-20, -15, 2, -6, -5, -... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, -10, -19, 22, 12, -9, 25, 19, 3, 10, -21, 10],\n [0, 34, 19, 18, 1, -9, -33, -25, 31, -23, -32, -9],\n [0, 0, -17, 6, 13, 32, -32, -4, 32, 32, 7, -12],\n [0, 0, 0, 18, 33, -13, 14, 33, 5, -11, 10, -35],\n [0, 0, 0, 0, -19, 2, 4, 8, 28, 31, 9, -3],\n [... | 40 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 14, 26, 35, -18, -12, -11, -2, -16, 6, 13, -24],\n [-6, 17, 14, 33, 7, -9, 9, -31, 15, -25, -13, 21],\n [20, 9, 7, -8, -22, -35, -35, -31, 14, -3, 4, 2],\n [-31, 31, 7, -30, 3, 16, -31, 20, 13, 34, 9, -4],\n [22, 29, -5, 13, 2, 29, 32, 3, -8, 26, 33, ... | 728 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[10, -10, -23, -26, 32, -19, -15, 32, 5, 7, 31, -1],\n [0, -24, -35, 29, 3, -15, -23, -21, 24, -27, 25, 2],\n [0, 0, -13, 13, -18, 12, -16, -17, 35, -19, 19, 14],\n [0, 0, 0, 4, -7, 26, -22, 6, 20, 16, 21, 9],\n [0, 0, 0, 0, -16, 7, -2, 8, -11, 28, 19, 33]... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 10, 28, -27, 24, 8, 14, -22, 20, -27, 14, -22],\n [0, 23, -10, -31, -23, -17, 8, 17, -10, -23, 16, 6],\n [0, 0, -23, 4, -13, 21, -1, -10, -31, -19, -16, -15],\n [0, 0, 0, 16, 11, 34, 30, ... | 933 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, -1, -35, 32, -7, 11, -25, -16, 15, 13, -24, -21],\n [-25, -25, -13, -1, 18, 17, 4, -2, -2, 5, 24, 22],\n [29, -4, 35, -35, 0, -25, 23, -35, -1, 9, 0, 35],\n [26, -4, 28, -24, -11, -23, -33, -27, -7, -20, 1, 33],\n [-26, -31, -2, 7, -4, 16, -22, 31, 2, ... | 712 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, 33, 10, -7, 32, -23, -20, 32, -27, -6, 12, -34],\n [-3, -33, 18, -25, 24, 9, 0, -5, -10, -21, -15, 13],\n [-29, 0, -16, -5, -23, -30, 19, -24, 2, 8, -5, 9],\n [11, 13, 19, 9, -9, -25, -14, -22, 4, -18, -28, 10],\n [-12, 10, -5, -29, -32, -13, -6, 18, 1... | 544 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 25, 21, -28, -2, -8, 21, 14, 0, 17, -33, -11],\n [11, 3, -15, -24, 20, 0, -8, -25, -33, -15, -27, 34],\n [-19, -15, 14, 6, -28, -25, 22, 28, -18, -34, -7, -14],\n [-30, -30, 31, -4, -7, ... | 584 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[15, 16, 14, -9, -16, 4, 19, 12, -20, -2, -5, 7],\n [16, 34, 4, 4, -24, -8, 22, 13, 4, 8, 8, -16],\n [14, 4, 24, -9, 19, -14, -6, 6, -12, 6, 20, 2],\n [-9, 4, -9, -6, 7, 14, 16, -12, -10, -5, -6, 4],\n [-16, -24, 19, 7, 4, -2, 8, 14, -8, 4, -3, -2],\n [4, -... | 584 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 6, -4, -2, -20, 20, -6, -30, 23, -12, 8, 0],\n [6, -35, 0, 20, -2, -17, 5, -4, -18, 6, -8, -8],\n [-4, 0, 11, -32, -27, -16, 2, 12, -1, -25, 12, 17],\n [-2, 20, -32, 8, -22, -33, 4,... | 720 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, 24, 6, -16, 0, -10, -24, -14, -1, -2, -18, -9],\n [24, -29, 4, -10, 6, 18, -12, 0, -9, 2, 16, 7],\n [6, 4, 31, -16, -17, 2, -18, 24, 4, 10, -10, 16],\n [-16, -10, -16, -35, 10, -8, 8, -10, 12, 16, -14, 17],\n [0, 6, -17, 10, 19, 26, -6, -16, -18, 1, 6, 9],\n ... | 768 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, 21, -10, -15, 14, -16, -30, 12, 13, 28, 0, -22],\n [21, 14, 0, -30, 8, 2, 1, 0, -4, 2, 6, 14],\n [-10, 0, -17, 4, -26, 20, -21, 12, 8, -9, -8, -10],\n [-15, -30, 4, 24, -22, 17, 6, -14, 5, 8, -14, -6],\n [14, 8, -26, -22, -17, 6, -2, 2, 15, 0, -9, 0],\... | 609 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-22, -1, 3, 27, 21, 1, -8, 29, 6, -9, 24, 9],\n [-1, 16, -20, -6, -27, 26, -9, 3, 14, 7, -32, -27],\n [3, -20, 13, -12, 10, -4, 10, -14, 25, -4, 19, -14],\n [27, -6, -12, -13, -8, -18, -6, 8, -3, 2, 15, 14],\n [21, -27, 10, -8, -10, 14, 8, 13, 4, -2, -4, 7... | 472 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[25, 8, 20, 17, 19, 2, -11, -7, -12, 14, 0, 18],\n [8, -11, 21, -9, -6, 0, -23, -26, -10, -8, 12, -29],\n [20, 21, 13, 4, 6, 8, -10, -10, 8, -14, -12, 8],\n [17, -9, 4, 31, 14, 20, 20, 22, 23... | 424 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -1, 12, 7, -6, -2, 26, -24, -9, -8, -6, 6],\n [-1, 21, -12, 10, 20, -10, -4, -8, 24, 14, -6, -10],\n [12, -12, -26, 12, -22, 0, 20, -16, 11, 8, 0, -6],\n [7, 10, 12, 31, 12, 10, 8, 8, -20... | 856 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[24, 24, 33, 17, 28, 30, 13, 32, -13, -31, -10, 22],\n [0, 9, 9, 1, -2, 30, -6, 20, -3, 4, 19, -20],\n [0, 0, -1, -32, -15, 18, -35, 8, 6, -30, 0, -11],\n [0, 0, 0, 35, 20, -10, 8, 16, -4, -3, -1, 12],\n [0, 0, 0, 0, 7, 22, -20, 13, 8, 12, -14, 20],\n [0, ... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -29, -10, -8, -28, -15, -25, 6, 18, 22, -32, 25],\n [-18, 23, 21, -23, 16, -17, 17, -28, -7, 23, -25, 19],\n [21, 29, 4, 16, -24, -11, -20, 12, -27, -25, -27, 14],\n [-13, 3, -11, -23, 8, 31, -19, -15, -12, 33, 5, 16],\n [-12, 24, -23, -13, -2, -11, 33, 10, 35... | 272 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[13, 11, -15, -6, 27, -9, -8, 27, -11, 20, -16, 9],\n [-21, -27, 29, -20, -25, -15, -30, 13, -29, -34, -15, -21],\n [1, 26, 20, 13, 9, 3, 3, 10, 12, 27, -1, 25],\n [34, -4, 29, -22, 0, -23, -... | 88 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, 15, -2, -15, -16, 14, 35, -17, 5, 15, 27, 23],\n [0, 34, 19, -14, -5, 1, -19, 13, 16, 31, -6, -3],\n [0, 0, 17, -28, 29, -13, -33, -4, 23, 4, 19, 33],\n [0, 0, 0, -20, 20, 0, -21, 31, 2... | 19 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-21, 16, -25, -27, 3, 6, -27, 12, 18, -21, -20, -13],\n [32, -1, 33, -12, -16, 21, -10, 32, -8, 26, -17, -14],\n [-18, 0, 1, 5, 16, 7, -2, -35, -17, 22, -22, -26],\n [29, -19, 14, -2, ... | 800 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[14, -6, -31, 3, -35, -31, 33, -1, -16, -19, 16, -9],\n [31, -22, -26, -9, 24, -5, -8, 16, 6, 28, -25, -15],\n [-31, -20, -22, -18, -23, 19, -10, 10, 12, 7, 35, 29],\n [-30, -10, -20, 7, -12,... | 16 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, 22, 7, -10, 30, 18, 25, -17, 23, 16, 29, 29],\n [0, -13, -10, -28, -8, 26, 25, -18, -32, -3, 31, 25],\n [0, 0, 27, -11, 33, -26, 26, 6, -26, 7, -24, -29],\n [0, 0, 0, -8, -5, -19, ... | 994 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 31, -4, 0, 0, 20, 12, 22, -30, 24, 34, -31],\n [-18, 26, -9, -23, 35, 16, 14, 32, 3, 20, -8, -4],\n [-8, -34, 0, -33, 29, -17, -21, 24, 9, 6, 26, 4],\n [7, 29, -15, -11, -22, 30, 1... | 352 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -15, -3, 21, 28, -10, -12, -13, 3, 9, -30, 12],\n [-15, 12, -3, -19, -28, 16, -14, 3, -32, 28, 1, 26],\n [-3, -3, 28, 5, 16, -25, 0, 34, -14, 12, 16, 5],\n [21, -19, 5, 27, -13, 2, 10, 2... | 960 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 13, 31, 24, 30, -30, -11, 9, -23, 24, -10, -35],\n [0, -16, -8, -23, 33, 18, -10, -27, -32, -3, -4, 2],\n [0, 0, 33, -4, 25, -19, -3, -15, 6, -34, -21, 5],\n [0, 0, 0, -30, -27, -1... | 908 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-27, -2, 1, 1, 6, 14, 0, -12, -13, -12, 4, 10],\n [-2, -4, 18, -8, -15, -6, -14, -18, -6, -20, -10, 24],\n [1, 18, 5, 1, 17, 8, -30, -22, 8, 13, 7, 2],\n [1, -8, 1, -15, 30, -30, -1, -12, 25, 10, -8, 6],\n [6, -15, 17, 30, 30, 18, -3, 5, 12, -6, -7, 2],\n [14, -6,... | 504 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 21, -2, -8, 5, 5, 12, -12, 8, -28, -18, 31],\n [21, -21, -4, 2, 4, -10, -28, -5, 2, -16, -4, -6],\n [-2, -4, -17, -12, 4, 18, 4, -10, 16, -18, 32, 6],\n [-8, 2, -12, -31, -1, 22, -... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, -22, -29, 1, 11, 12, 4, 31, -3, -23, 11, 31],\n [0, -31, -16, -19, 9, 28, 8, -25, 32, -16, -13, -25],\n [0, 0, 27, -11, 19, -29, -16, 7, 27, 31, -8, 2],\n [0, 0, 0, -11, -6, 7, 18, 1, -25, 13, -26, 16],\n [0, 0, 0, 0, -31, 31, -11, -22, -35, -17, 18,... | 900 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, 10, 14, -12, -31, 15, -31, 5, 14, -13, -5, 23],\n [0, 10, 20, -19, 13, 20, -27, -31, 14, -18, -26, -7],\n [0, 0, -18, 0, -20, 20, 20, 15, 23, 16, -22, 24],\n [0, 0, 0, 33, -32, -21, -17,... | 60 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, 28, 30, -15, -26, -29, -11, -8, -2, 31, -30, 9],\n [25, 0, 20, 5, -5, 5, -6, -28, -30, -30, 16, -30],\n [25, 33, -31, -34, 17, -31, 31, 24, -21, -27, -1, -30],\n [14, 4, 28, 25, 2, 20, -2, -13, -33, -31, -3, 6],\n [-11, 30, 0, -29, -13, 26, 9, -30, -35, -11, -... | 360 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, 8, 9, 32, 3, 35, -13, 33, -1, -35, 5, -22],\n [1, -15, -28, 20, 26, 0, 0, 17, 7, -35, 26, 6],\n [8, 22, 29, -22, -10, -8, 19, 25, 10, -21, 31, 8],\n [-17, 11, 0, -18, 31, -4, -27, -23, -9, 2, 30, -16],\n [16, 2, -2, 0, -21, -6, 20, -19, -27, 32, -14, ... | 976 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-20, 1, 10, -9, -5, -19, -11, -14, 27, 11, 18, -29],\n [-27, -16, -4, 10, -6, 0, 23, 18, -20, -32, 6, 13],\n [26, 20, 7, -10, 16, 35, 7, 30, 34, -30, -26, 2],\n [-35, 8, 28, -12, 26, -7, 9, 9, 13, 23, 3, 31],\n [-9, -28, 2, -4, -33, 17, 13, -13, -29, -4, 8, -29],\... | 768 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -23, 4, 17, 3, 30, 16, -33, -31, -14, -21, -16],\n [0, 34, 21, -32, -32, 8, -17, 21, 10, -3, 34, -31],\n [0, 0, -12, -9, 16, 34, 8, 30, 14, 21, 27, 1],\n [0, 0, 0, 27, -34, 5, 8, 3, 6, -9, 35, 5],\n [0, 0, 0, 0, 28, -1, -25, -14, 13, -34, -32, -19],\n ... | 39 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[19, 10, 2, -23, 28, 11, 0, -5, -8, -18, -20, 15],\n [10, -31, -2, -8, -4, 6, -18, -3, -12, -3, -6, -2],\n [2, -2, 6, 10, -34, -2, 22, 16, -2, -16, -33, -15],\n [-23, -8, 10, -28, -18, ... | 392 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-35, -16, 29, -19, -16, -30, -32, 9, 30, -33, 17, -3],\n [-4, 4, 28, 3, -7, -35, -2, 27, -26, 33, -23, 10],\n [-15, 8, 4, -22, -34, -27, -13, -25, -16, -35, -28, -33],\n [33, 33, 31, 30, 25, 13, 23, 20, -31, 27, 18, -24],\n [24, -16, 14, 21, 34, -22, -2, ... | 72 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-29, 19, -16, 35, 11, -18, -34, -21, 29, -13, -33, 19],\n [0, -26, -20, 16, 31, -33, 23, -23, -16, 24, 32, -28],\n [0, 0, 29, -1, -2, -7, 9, -30, 23, 33, 17, -28],\n [0, 0, 0, 11, 5, 2... | 744 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, -1, 1, 25, 0, -26, 30, -34, 20, 6, -35, 0],\n [33, -16, 4, -25, -17, -23, -23, 24, -22, 26, -1, 11],\n [25, -1, -23, -33, -18, 16, -19, -23, -32, -7, 4, 0],\n [-20, -35, -8, 19, 21, -27, 13, 1, -12, 9, -13, 19],\n [-6, -18, -23, 11, -3, -8, 24, -1, -8, -1, 16,... | 48 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, -21, 0, 6, 15, -18, 18, 28, 10, -25, 13, 33],\n [0, -28, -32, -3, 24, 14, -18, 29, 23, -24, 29, -4],\n [0, 0, -9, -7, 25, -11, 23, 26, 30, -11, 22, -8],\n [0, 0, 0, 32, 24, -30, -29, 9, -11, -17, -14, -35],\n [0, 0, 0, 0, 23, -16, -27, -1, -23, 1, -28... | 586 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-24, 23, 35, -12, -10, 8, -17, 6, -8, 2, 27, -28],\n [-21, -21, 23, -15, 3, 2, -25, -25, 30, 23, 32, -7],\n [-34, 24, -16, 30, 28, 26, -11, 29, -7, 5, -14, -20],\n [-18, -35, -27, 22, 12, -22, 34, -34, -25, 0, 14, 18],\n [16, -32, -5, 33, -4, -10, 24, 14,... | 88 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-26, -26, -32, 1, 7, -21, -29, -2, 11, -26, 16, -12],\n [26, -20, 3, -27, -28, 11, 28, -29, 5, 15, -15, -19],\n [5, -35, 11, -35, 16, -27, 35, 30, 18, 11, 23, -8],\n [21, 3, 5, -19, -3, -6, -23, 23, 23, 13, -18, -2],\n [35, -19, -18, 18, -12, -13, 8, 35, 3, 15, 23... | 248 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[29, 15, -13, 10, 16, -1, 23, 27, -2, -22, 1, 3],\n [0, -14, 12, -10, 24, -32, 14, 11, 1, -12, 1, 27],\n [0, 0, -33, 33, -15, 18, 3, 6, 27, -4, -8, -33],\n [0, 0, 0, 33, -33, -14, 29, -21, -33, -23, -27, -27],\n [0, 0, 0, 0, 3, -30, -17, -16, -32, -27, -35,... | 1 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-35, -2, -17, 1, 26, 1, 8, 18, 32, 26, -35, 9],\n [0, -25, -1, 15, 6, -6, 20, 32, 15, -21, 20, 20],\n [0, 0, 30, -10, -35, 31, -34, -32, -28, -16, 1, -33],\n [0, 0, 0, -32, -24, -32, -22, 31, 4, 5, 27, 18],\n [0, 0, 0, 0, -32, -17, 0, 21, -30, -20, -31, 28],\n [0,... | 980 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 8, -1, 33, -15, 14, -7, -11, 22, -29, 32, -25],\n [-14, -3, 5, 25, -8, -30, -34, -26, -18, -13, 29, 10],\n [10, -9, -22, 21, -8, 34, 4, 32, -14, 28, -24, 23],\n [-26, -23, -6, 33, -9, -22, -11, -14, -15, -35, -12, 32],\n [-9, 26, 20, -35, -14, 13, 10,... | 16 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-23, 6, 28, 28, -35, 31, 11, -34, -24, 24, 34, 15],\n [0, 17, -13, 34, -26, 12, 34, -15, 35, -34, 32, -25],\n [0, 0, 33, 20, 31, -14, -2, -5, -18, 13, 17, 18],\n [0, 0, 0, -29, -22, -25, -12, 5, -32, -18, -26, 19],\n [0, 0, 0, 0, 32, 5, 3, -19, -11, 15, -4, -10],\... | 926 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, 18, 26, 4, -10, -15, -13, 3, 17, -27, -3, -31],\n [10, 3, 27, -14, -28, 4, -21, -8, 3, -26, 13, 29],\n [4, -15, -31, 23, 25, 35, -17, 7, -24, -24, 31, 26],\n [-33, -32, -12, 34, 20, 12, -12, -24, -7, -26, 10, -9],\n [-9, -17, 11, 17, -18, 23, 17, -9, 2... | 696 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 4, 8, -23, 16, 18, -8, 2, -2, 18, 28, -1],\n [4, -10, 22, 5, -6, 0, 17, 5, 14, 6, 7, -3],\n [8, 22, 27, -17, 14, -15, 20, -24, 5, -2, -14, 3],\n [-23, 5, -17, -5, -8, -13, 4, -23, -8, -... | 464 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, -4, 11, 7, -4, -28, -4, 26, -6, 0, -12, 0],\n [-4, 25, 10, -10, 22, -9, -14, 3, -6, -5, 4, -19],\n [11, 10, 13, 4, 26, -4, 28, -30, -2, -10, -10, 2],\n [7, -10, 4, -8, 7, -2, 20, -3, 34, 20, 18, -4],\n [-4, 22, 26, 7, -25, 1, -12, -6, 6, -20, -22, 15],\n [-28,... | 480 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-33, 12, -34, -6, 16, -18, 27, 14, -17, -12, -21, -32],\n [0, -12, 35, 15, -11, -13, -29, -31, 9, -16, -7, -11],\n [0, 0, 31, -32, 30, 25, 13, 7, 1, 4, 11, -1],\n [0, 0, 0, 31, -7, 2, -8, -17, 0, 35, -28, -16],\n [0, 0, 0, 0, 30, -1, -24, -2, 3, -26, -6, 3... | 26 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-15, 20, -33, 2, 29, -9, -5, -15, 17, 8, -31, 33],\n [0, -20, 30, -15, 3, 29, 13, 18, 13, -8, 34, -1],\n [0, 0, 22, -6, 30, -5, 19, 13, -12, 2, -18, -1],\n [0, 0, 0, 30, 26, 31, 11, -1... | 36 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-22, -2, 16, 16, 6, -12, 12, 10, -14, -10, 25, -8],\n [-2, 6, -10, -6, -18, 4, 6, -24, -24, -10, 5, -15],\n [16, -10, 30, -31, -2, -16, 8, -4, -4, 2, 6, 4],\n [16, -6, -31, -27, 0, -22... | 616 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, 0, 33, -27, -8, 19, -27, -21, 12, -26, -6, -30],\n [0, -22, -17, 15, -16, 33, 11, -11, 22, 15, 6, -21],\n [0, 0, 19, -18, -31, -29, 16, 10, 24, -11, 11, -25],\n [0, 0, 0, 34, -13, -24, 35, 14, 17, -17, 6, 33],\n [0, 0, 0, 0, -27, 12, -12, -20, 24, -3... | 163 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[29, 7, 3, -25, 28, -1, 28, -30, 10, 12, -34, 27],\n [0, -18, -29, 6, -29, 34, 25, -4, -19, 3, -6, 17],\n [0, 0, 6, 26, 28, -27, 28, 15, -31, 19, -18, -35],\n [0, 0, 0, 14, -5, 2, 35, -34, 4, 21, 24, -29],\n [0, 0, 0, 0, -27, -3, -30, -29, -21, 23, 14, -1],\n [0, 0... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 22, -19, 7, -25, 27, 12, -25, -35, 8, -8, 15],\n [0, 14, -28, 35, 26, 12, 21, 22, -17, 34, 17, 3],\n [0, 0, -15, -32, 26, -23, 34, 13, 17, -30, 28, -7],\n [0, 0, 0, -19, -21, -28, 13, -29, -25, 10, -9, 8],\n [0, 0, 0, 0, -13, 9, -1, 14, -7, -34, 6, -3]... | 195 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[22, -2, -16, -15, 16, -12, -17, -12, -16, 26, 25, -12],\n [-2, -24, -32, -5, 2, -24, 6, -2, -6, 16, 6, 1],\n [-16, -32, 23, 6, 18, 2, 7, -4, 23, 8, -4, 19],\n [-15, -5, 6, -32, -34, 12, 10, -1, 4, 0, -12, -18],\n [16, 2, 18, -34, 17, -12, 11, -13, 28, 2, -... | 48 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[31, 0, 20, -8, -2, -10, 6, -16, 18, 13, 10, -10],\n [0, 26, 18, -7, -10, -5, 12, 10, -8, -24, 11, -4],\n [20, 18, -2, 0, 2, -1, -4, -12, -14, -13, -14, -30],\n [-8, -7, 0, -1, -6, 29, 10, -18, 1, 4, -4, 8],\n [-2, -10, 2, -6, -15, -26, -26, -22, 4, 1, -7,... | 152 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-33, 28, -2, 4, 12, 6, -5, 23, 3, -26, 24, 28],\n [28, -14, 8, -3, -10, -29, -9, -28, 28, 26, -10, 14],\n [-2, 8, -3, 26, 7, 24, 19, 4, -31, -28, 1, 0],\n [4, -3, 26, -23, 20, -12, -25, 14, 0, 7, 14, 20],\n [12, -10, 7, 20, 31, 16, -14, 33, -9, 8, -20, 8],\n [6, -... | 656 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-33, 4, -20, -3, 32, -3, -29, 13, 34, -11, 5, -31],\n [-10, -31, -8, 5, -26, -19, 16, 25, -25, -33, 35, -26],\n [-6, -35, 17, 5, -19, 16, -20, -12, -5, 4, 23, -24],\n [-8, 28, -26, 23, 21, -... | 88 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[21, -17, -12, -31, 2, -4, -8, -13, 21, 14, -5, -22],\n [-17, 33, -31, 8, 11, -2, 18, 2, 10, -14, 17, 0],\n [-12, -31, -16, 16, -16, -20, 24, -14, -2, 14, -6, 4],\n [-31, 8, 16, -28, 2, -2, -2, 10, -21, 7, 14, -33],\n [2, 11, -16, 2, -15, 23, -4, -4, 6, 4, ... | 120 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 33, 17, -32, 10, 12, -20, 7, -9, 12, 0, 12],\n [3, 13, 8, -23, -23, 27, 11, 4, -31, -14, 23, -7],\n [29, 19, -21, -13, 8, 14, 9, 9, -10, -3, -15, -22],\n [-28, 8, -19, -24, -33, -26, -22, 14, -25, 30, -32, -11],\n [12, -10, 16, -15, -7, 6, 13, 3, -8, ... | 104 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[34, 28, -7, -2, -28, 30, 30, 3, -22, 33, 18, 7],\n [0, 19, 13, 5, -11, -12, -22, -27, -14, -16, 2, -26],\n [0, 0, 22, 12, -15, 16, -7, 13, -19, 8, 5, -28],\n [0, 0, 0, -4, -17, -12, 18, 14, -21, -5, 2, 22],\n [0, 0, 0, 0, -19, -26, -22, 0, -19, -8, 33, -2... | 921 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, -23, 2, -29, 27, 18, -34, 20, 28, -26, 9, 20],\n [0, 13, -3, -31, 16, 3, 20, -26, 35, -6, -25, -18],\n [0, 0, -14, -28, -16, -24, 16, -29, -11, -4, -7, -18],\n [0, 0, 0, 28, 13, -19, 21, -9, -18, -35, -14, -12],\n [0, 0, 0, 0, -29, 8, 12, -27, -26, 22,... | 12 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-29, -18, 14, -30, 0, -27, -22, -16, 17, -17, 30, 24],\n [-18, -12, -4, 15, -12, 24, -2, -20, 15, 4, 15, 3],\n [14, -4, -30, -4, -28, -23, -10, -9, 2, 11, -10, -13],\n [-30, 15, -4, -23, 11,... | 744 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 10, -10, -14, -4, 6, 15, -18, 25, -12, 0, -12],\n [10, 31, 15, -8, -12, 16, -28, 12, 26, -6, -12, -12],\n [-10, 15, 27, -2, -7, -8, 14, -2, -22, -2, 9, 1],\n [-14, -8, -2, 1, -14, 30, -14, -6, 7, 17, -7, 4],\n [-4, -12, -7, -14, 7, -10, -21, -12, -21, 12, 18, ... | 80 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[28, 23, -5, -16, -35, -25, 12, -30, 11, 23, 35, -14],\n [-2, 28, -4, -35, 23, 6, 29, 6, -5, -13, -1, 29],\n [2, -15, 26, 0, 4, 17, 25, 20, 11, 7, 25, -27],\n [12, -33, 27, 13, -11, 5, 24, 11, 23, -35, 31, 31],\n [21, -20, 9, 25, 26, -30, 15, -12, 25, -18, ... | 344 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.