messages listlengths 1 1 | ground_truth stringlengths 1 3 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -30, -19, -27, -7, -4, 2, -9, 25, 29],\n [5, 4, -24, 11, 8, 16, -10, -22, -15, -22],\n [18, 24, -14, -5, -15, -18, -3, 16, -8, 27],\n [-22, 22, 9, -3, 29, -9, 23, -30, -1, -21],\n ... | 52 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, -4, 6, 20, 0, 6, -18, -4, -21, 8],\n [-4, -7, -24, 16, 5, -18, -4, 14, -26, -4],\n [6, -24, -11, -2, -18, 2, -11, -2, 25, -10],\n [20, 16, -2, 26, -8, -6, -18, 1, 12, 8],\n [0, 5, -18, -8, -28, 2, 0, 18, -4, 0],\n [6, -18, 2, -6, 2, 3, 24, 8, 16, 22],\n [-18, ... | 332 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 20, -2, -15, 28, 13, 20, 5, -4, 23],\n [20, -28, -8, -18, -15, 13, 14, -6, 8, -6],\n [-2, -8, 5, -7, -17, 6, 14, 14, 16, 6],\n [-15, -18, -7, -9, 8, -14, -4, 0, 18, 4],\n [28, -15, -17, 8, 29, -6, 4, 20, -2, 26],\n [13, 13, 6, -14, -6, -19, 24, 24, 26, 12],\n... | 414 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-27, 5, 24, 30, 24, -27, 8, 20, -19, 24],\n [0, 24, -10, -24, -5, -17, 24, 1, 9, 10],\n [0, 0, 28, 5, 0, 1, 26, 19, -19, -30],\n [0, 0, 0, 14, 22, 11, -10, -8, -8, 14],\n [0, 0, 0, 0, 26, 28... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[27, 8, 6, 18, 0, -4, 7, -16, 0, 7],\n [8, -21, 9, -12, 4, -20, 4, 6, 5, 20],\n [6, 9, 23, -8, -20, 17, -1, 9, -4, 7],\n [18, -12, -8, -7, -14, 24, 14, -21, -8, 10],\n [0, 4, -20, -14, -16, -28, -8, 4, 2, 8],\n [-4, -20, 17, 24, -28, 10, -8, 8, 26, 26],\n [7, 4, -1... | 648 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, 3, 0, 30, 6, -29, 29, -17, 24, 8],\n [0, -10, -25, 5, -28, 12, 30, -26, 20, -3],\n [0, 0, -20, -22, -15, 6, -24, 15, 16, -28],\n [0, 0, 0, 17, 16, -6, 16, -17, -26, -16],\n [0, 0, 0, 0, 4, 25, -19, 13, 12, 30],\n [0, 0, 0, 0, 0, -29, -11, 3, 5, 21],\... | 0 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -18, 19, -1, 18, 30, 9, 6, -16, 0],\n [22, -26, 5, 23, 28, -16, -1, -7, -28, -13],\n [15, -3, -2, -6, 8, 9, 18, 13, 25, 10],\n [11, 28, -9, -25, 20, -23, -5, -9, -15, 20],\n [29, 25, -11... | 412 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 14, 26, -27, -20, 4, 9, -8, -12, 18],\n [14, -27, -3, -6, -13, -15, -30, -7, -20, 6],\n [26, -3, 29, -1, 8, 8, 16, -2, 12, -2],\n [-27, -6, -1, 25, -9, -4, -11, 2, 22, 21],\n [-20, -13, 8, -9, -19, -18, 8, -9, 17, -2],\n [4, -15, 8, -4, -18, -23, -2, 2, 11, -... | 931 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -9, 8, -10, -5, -21, -27, -22, 13, 23],\n [0, -13, 12, -1, -17, 3, 2, 7, 7, -11],\n [0, 0, 24, -21, -6, 20, -16, -26, -16, -20],\n [0, 0, 0, -11, 2, 25, 12, -13, 19, -5],\n [0, 0, 0, 0, 17, 6, 4, -13, -11, 24],\n [0, 0, 0, 0, 0, 2, -30, -12, 19, -22],\n [0, 0, ... | 968 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 14, 22, 29, 15, 23, 16, -10, 14, -7],\n [0, -2, 22, 4, 20, -9, 7, 22, 22, 3],\n [0, 0, -13, 21, -16, 8, -13, -30, 1, -6],\n [0, 0, 0, -9, -8, -8, 30, -27, -16, -2],\n [0, 0, 0, 0, 20, 30, -15, -26, 18, 13],\n [0, 0, 0, 0, 0, -10, 30, 19, 22, 26],\n [0, ... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -25, 2, 14, -5, 3, 8, 18, -6, -25],\n [0, -9, -11, -8, 18, -4, 9, -9, -15, 1],\n [0, 0, -29, 13, -8, 17, 7, 2, -11, 6],\n [0, 0, 0, 29, 6, -10, -25, -19, -7, 20],\n [0, 0, 0, 0, -10, -11, 29, 19, -16, -26],\n [0, 0, 0, 0, 0, 30, 8, 0, 3, 9],\n [0, 0, 0, 0, 0, 0... | 200 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -16, -8, -4, -9, -2, 7, -8, -20, -8],\n [-16, -4, -4, 10, -12, 18, 2, -18, 2, -26],\n [-8, -4, -5, -2, 12, 7, 6, -18, 13, 20],\n [-4, 10, -2, -2, 16, -13, 1, 3, -6, -9],\n [-9, -12, 12, 16, -25, -11, 0, 14, -9, 2],\n [-2, 18, 7, -13, -11, 23, -20, 16, -12, 2]... | 480 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-23, 17, 4, 7, 7, 20, -9, 8, -16, 24],\n [24, -16, 4, -7, 27, -17, -30, -1, -13, -11],\n [23, -10, -8, -1, 20, -14, 2, 27, 26, -10],\n [-10, -24, -20, -16, 20, 9, 22, -15, 14, 13],\n [22, -29, 2, -30, 1, -5, -8, 21, 15, 20],\n [-30, -5, -30, -4, -30, 29, 5... | 466 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[22, 8, -6, 2, -18, -10, -6, 16, 10, -6],\n [8, -16, 11, -19, -4, 8, -3, -2, -13, -4],\n [-6, 11, 26, -8, 16, -12, 2, 5, -16, 3],\n [2, -19, -8, 27, 16, -11, -22, -6, 4, -14],\n [-18, -4, 16,... | 250 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-19, -10, -20, 7, -5, -3, -25, 13, 21, -6],\n [23, -3, 17, 11, 3, -25, -25, 17, -7, 18],\n [2, 7, -25, 10, -10, -11, -12, -22, -11, -30],\n [2, -4, 1, -20, -8, 5, -20, -18, 13, -30],\n [22, -8, -4, 3, -4, -10, 10, -19, -2, 4],\n [25, -21, -17, 0, -14, -15,... | 662 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[21, -3, -12, 14, -1, -29, -11, -8, -17, 3],\n [0, 13, 15, -16, 15, -3, -3, 20, -14, -16],\n [0, 0, -27, 13, -12, 3, -3, 1, -18, -17],\n [0, 0, 0, -29, 27, 23, 16, 30, 0, 4],\n [0, 0, 0, 0, 26, 2, -17, 9, -5, -19],\n [0, 0, 0, 0, 0, 17, -27, 17, -9, -24],\n [0, 0, ... | 960 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -23, -4, 30, 6, 12, -7, 21, 27, -7],\n [0, 26, -15, -2, -17, -13, -19, -11, -19, -22],\n [0, 0, 8, 24, 2, 21, -3, -16, -30, 11],\n [0, 0, 0, -19, -14, -4, -28, 10, -8, -5],\n [0, 0, 0, 0, -14, -23, 10, -14, -10, 27],\n [0, 0, 0, 0, 0, -21, -9, 13, 9, 21],\n [0... | 464 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -7, -12, 3, 20, -8, 22, -15, 6, -18],\n [0, -4, -5, -17, 14, 19, 12, 23, -17, -26],\n [0, 0, 19, -12, -19, -24, -20, 17, 20, 27],\n [0, 0, 0, -3, -30, 13, -13, -7, 23, -25],\n [0, 0, 0, 0, -16, 1, -11, 21, -28, 18],\n [0, 0, 0, 0, 0, -17, 25, -19, 16, 18],\n [... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, 15, -1, 5, -20, -7, 12, -13, 27, -19],\n [5, 5, -24, -24, -19, 11, -29, 9, -20, 9],\n [-20, -22, -13, -4, -4, -30, -6, 15, -9, 9],\n [7, -13, -7, -26, 22, 10, 0, -24, -12, -27],\n [28, -25, -6, -2, 28, 9, 19, -9, 23, 1],\n [-16, -2, -19, 27, -2, -18, -... | 549 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 18, -18, 10, 10, -4, 26, 12, -15, 10],\n [18, -9, 6, -6, 8, -8, 0, -14, 12, -8],\n [-18, 6, -3, 14, -1, -3, 6, -10, -28, -8],\n [10, -6, 14, 25, -10, 8, 0, 15, 4, -26],\n [10, 8, -1, -10,... | 993 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-15, 17, 24, -30, 29, 21, 15, 17, -25, 22],\n [0, -7, -9, -10, 1, -21, -17, -23, -3, -23],\n [0, 0, 29, -16, 29, -17, 6, 16, -29, 18],\n [0, 0, 0, -11, -23, 26, 7, -4, -14, -2],\n [0, 0, 0, ... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, 18, 14, -28, 21, 12, -13, -13, 18, -7],\n [0, 26, -27, -17, 7, 21, 21, -10, 14, 24],\n [0, 0, 28, -23, -18, 21, 14, -1, -17, 26],\n [0, 0, 0, 24, 1, -3, -12, 23, -6, 8],\n [0, 0, 0, 0, 16, -20, 11, 5, 4, 18],\n [0, 0, 0, 0, 0, -23, 28, -13, -23, -8],\n... | 72 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-30, -8, -12, 0, -12, 7, -26, -4, -18, -12],\n [-8, -8, -7, 9, -11, 3, 8, -9, 14, 19],\n [-12, -7, 1, 20, 4, 15, -1, 18, 4, -22],\n [0, 9, 20, 20, 10, -16, -2, -2, -16, 2],\n [-12, -11... | 924 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -4, 2, 16, -14, -21, -21, 14, 2, 8],\n [0, -6, -1, -30, 22, 24, -29, 10, -27, -6],\n [0, 0, -12, 29, 15, 1, -22, 3, 17, -20],\n [0, 0, 0, -6, 18, 8, 13, -16, -2, 5],\n [0, 0, 0, 0, 4, -28, -27, -9, -3, 7],\n [0, 0, 0, 0, 0, -29, -19, 5, 7, -8],\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[[22, 27, 8, -27, -13, 27, 14, 20, -8, -23],\n [-3, -14, -30, -27, 16, -29, -6, -2, 2, 7],\n [-25, 13, 11, -1, 6, 16, 27, -23, 1, -7],\n [5, 20, -15, -27, -4, -22, -4, -11, -5, -18],\n [... | 454 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, 4, 17, 9, -25, -19, -17, 15, 10, -17],\n [0, -25, -29, 21, -18, 28, -27, -24, -27, 3],\n [0, 0, -14, 23, -8, 29, -14, 19, -29, 16],\n [0, 0, 0, 5, 1, 28, -24, 20, -6, 9],\n [0, 0, 0, 0, 13, -11, -1, -16, 3, -21],\n [0, 0, 0, 0, 0, -19, -16, 17, -26, 23],\n [0, ... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[16, -18, -25, 12, -16, 17, -14, 11, 9, -1],\n [0, 15, -30, 8, -10, -3, 15, 7, 19, -20],\n [0, 0, 23, -25, 8, -4, 26, -11, -21, 28],\n [0, 0, 0, -1, 7, 7, 18, 15, -30, 13],\n [0, 0, 0, ... | 760 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 8, -6, -2, -19, 19, -18, 2, -11, 3],\n [0, 1, -22, 13, -22, -10, -18, -8, -2, -20],\n [0, 0, -5, 14, 7, -7, 20, 11, 16, -28],\n [0, 0, 0, -18, 0, 19, 3, -9, -4, -8],\n [0, 0, 0, 0, 26, -1... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-16, -10, 9, 16, -17, 2, -15, 15, -28, -18],\n [0, 26, -12, 4, 24, -12, -3, 28, -25, -5],\n [0, 0, 8, 28, -17, 22, -22, -12, 28, 24],\n [0, 0, 0, 22, 13, -24, -6, -20, -26, -29],\n [0, 0, 0,... | 960 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, -22, 7, -12, 14, -6, 9, -1, 18, -16],\n [-22, 20, 8, -26, 18, 22, -4, 20, 20, 14],\n [7, 8, -13, -2, -2, 1, 6, 4, 10, 2],\n [-12, -26, -2, -5, -18, -15, 4, -12, -2, 25],\n [14, 18, -2, -18, 17, -13, -3, 18, -14, -14],\n [-6, 22, 1, -15, -13, 6, 17, -4,... | 199 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[25, -22, 1, -5, 16, 2, -6, -15, -29, -18],\n [2, 24, 24, -27, 21, -6, 9, -21, 11, 2],\n [-13, -26, 11, -9, 29, -20, 22, 1, -15, 0],\n [-3, 5, -8, -7, 5, -14, -10, 25, -13, 29],\n [-1, 26, -14, 19, 23, 21, -3, -5, 8, -10],\n [-21, -19, -18, -14, 27, -19, -... | 840 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 12, -1, -20, 14, -16, 8, -7, 22, 12],\n [12, -29, -15, 5, -13, 7, 21, 8, 2, 20],\n [-1, -15, -16, 16, -7, -11, 4, -3, -15, -3],\n [-20, 5, 16, -2, -14, 5, -10, 20, -7, 4],\n [14, ... | 397 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[28, 9, 26, -14, -18, 2, -10, 22, -12, 17],\n [14, 19, -19, -14, -13, 14, 16, 11, 29, -20],\n [-21, -22, 10, -30, -1, 20, -16, -22, 19, 21],\n [3, 27, -20, 10, 0, 8, -13, 18, -1, -2],\n [1, 19, 5, 1, -1, 21, 2, 7, 30, -8],\n [-14, -2, -4, 11, -1, 28, 10, -21, -18, ... | 236 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[6, -20, 0, 16, -12, -22, 6, 3, -17, 20],\n [-20, -10, -24, 1, 4, 5, -16, 22, 15, -2],\n [0, -24, 16, -3, 18, 14, 0, 2, -9, -10],\n [16, 1, -3, 29, -8, 12, -2, -2, 16, -12],\n [-12, 4, 18, -8, -26, -8, 7, 6, -10, 9],\n [-22, 5, 14, 12, -8, 27, 17, -16, -4, ... | 142 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[28, 26, 14, 13, -9, 23, -1, -28, 9, 14],\n [20, -1, 5, 23, -27, 5, 2, -23, 13, 2],\n [-6, 2, -9, -19, 22, -7, -30, 9, -26, 13],\n [-29, 0, -13, -14, -18, -25, 27, 7, 4, -4],\n [-9, -12... | 880 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, 2, 22, -21, 0, -29, 14, -8, -2, 22],\n [-30, -12, 11, -17, 0, -10, -4, 10, 8, -29],\n [-11, 7, 20, 26, 20, -30, 9, -14, -30, -2],\n [20, -26, -27, -24, 28, -5, -20, 28, 20, -2],\n [1, -24, -9, -13, -2, 28, -10, -22, 25, 9],\n [-27, 30, -3, -26, 15, -24... | 934 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 3, -7, -17, -17, -12, 2, -4, 10, 8],\n [3, -1, 3, -6, 15, -2, 10, -5, -18, 1],\n [-7, 3, 0, -8, -8, -15, 8, 12, -5, 5],\n [-17, -6, -8, -30, -15, 14, 3, 7, -8, 22],\n [-17, 15, -8, -15, 17, 10, -4, 4, -6, 12],\n [-12, -2, -15, 14, 10, -26, 2, 4, -6, ... | 402 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[18, 27, 21, 11, -24, -29, -8, 0, -13, -14],\n [0, -26, 3, 3, 23, 22, -30, 26, 16, -9],\n [0, 0, 4, -21, 13, -19, 12, 3, -27, 15],\n [0, 0, 0, -29, 5, -24, 13, 14, 10, 13],\n [0, 0, 0, 0, 4, -9, -19, -7, 7, -29],\n [0, 0, 0, 0, 0, 15, -17, 5, -14, -30],\n [0, 0, 0,... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-4, 29, 30, 2, 30, -5, -25, 8, -13, 21],\n [-23, 7, 29, 3, 19, -14, -17, -15, 20, -19],\n [-16, -6, -18, 15, 16, -29, 30, 29, -15, 29],\n [-26, 28, 28, 28, -29, -16, 15, 18, 14, -17],\n [-15, 22, 18, 0, 17, -1, -26, -18, 0, -21],\n [11, -19, 24, 30, 2, -11, 6, -7,... | 532 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-25, 26, 2, 1, -22, -6, 4, -2, 18, -4],\n [26, 18, 2, 24, 4, -4, -20, 2, 20, 6],\n [2, 2, 11, 28, -10, 0, -22, -24, -2, 18],\n [1, 24, 28, 1, 14, 24, 9, -5, -8, 14],\n [-22, 4, -10, 14, 20, -10, -12, 18, 4, -3],\n [-6, -4, 0, 24, -10, 20, -9, -3, -10, -14],\n [4, ... | 547 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[1, -14, 8, 24, 6, -18, 22, 5, -8, 14],\n [0, 29, 11, -17, 20, -24, 14, -11, -27, 4],\n [0, 0, -18, -22, -29, -11, -27, -22, 18, 4],\n [0, 0, 0, 25, 20, 27, 19, -11, 11, -16],\n [0, 0, 0, 0, 3, -28, -22, 21, 19, 9],\n [0, 0, 0, 0, 0, -6, -2, 26, -28, -22],\n [0, 0,... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -20, 24, -5, -12, 11, -22, -25, 29, -18],\n [1, -2, -9, 18, 15, -12, -28, 16, -18, -29],\n [11, 14, 11, 25, -24, -23, -3, 28, -29, 0],\n [26, 21, 29, 5, -19, 28, 8, -7, -20, 21],\n [-22, -30, -17, -18, -13, -1, -5, -15, -18, 6],\n [-22, 22, 22, -17, -... | 920 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[23, -2, 13, -13, 27, -2, 19, -5, -11, 14],\n [21, 15, 19, 29, -4, -22, 10, 26, 3, -2],\n [6, 17, -5, 10, -4, 24, -16, 17, -4, 11],\n [-11, 2, 7, 19, 12, -25, 29, -4, 10, 4],\n [-29, 29... | 767 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -13, -28, 30, -1, 17, -16, -1, 17, -27],\n [-20, 8, -7, -18, -8, -19, -8, -20, -5, 17],\n [-23, -12, -27, 13, 17, -11, -2, -5, 19, -22],\n [3, -4, 30, 15, 26, -26, -16, 17, 26, -23],\n [-6, 18, 26, -1, 12, 18, -15, 1, -29, -25],\n [24, -22, -28, -2, -... | 836 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-19, 8, -6, 21, 22, -22, 7, -16, 3, 22],\n [0, 10, -13, -14, -6, -11, -10, -18, 5, -15],\n [0, 0, -13, -18, -6, -24, -22, 13, 5, -6],\n [0, 0, 0, 27, 1, -5, -21, 3, -27, 26],\n [0, 0, 0, 0, 7, -17, -13, 6, -8, -28],\n [0, 0, 0, 0, 0, 22, 5, 14, -21, -3],\n [0, 0, ... | 200 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, -18, -1, 2, 28, -28, -4, -18, 14, -10],\n [-18, 15, 7, -22, -12, -4, -9, -27, -23, -15],\n [-20, 10, -11, 11, -6, 23, 27, -29, -27, 19],\n [29, 15, -21, -7, 3, 30, 1, -4, -14, 5],\n [30, 15, -9, -30, -18, 22, 29, -26, -1, 22],\n [15, -4, 7, 13, 13, -17,... | 417 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[24, 21, 30, -29, -7, -24, 1, -14, 6, -8],\n [-28, -16, 10, -15, 5, -1, 20, -2, 10, 26],\n [25, -10, 13, 3, 27, 1, 18, 13, -5, 4],\n [0, -24, -18, 30, 28, -4, -18, -11, -6, -19],\n [-2, -27, 21, 23, -17, 6, -10, -15, 28, -19],\n [-14, 12, 26, 24, -13, 29, 9, -6, 29... | 748 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-20, -21, 19, 18, -5, 17, -15, -3, 18, 29],\n [0, -13, 4, 17, -21, 0, -25, 0, -23, -6],\n [0, 0, -26, 30, -17, 15, -20, -23, 5, -20],\n [0, 0, 0, 5, -12, -4, -28, -4, -21, 2],\n [0, 0, 0, 0,... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-24, 4, -8, -9, 0, 6, -2, -23, 8, -22],\n [4, 21, -14, 5, 14, 10, 4, 10, 29, 8],\n [-8, -14, 4, -12, 1, 9, -10, 1, 8, -8],\n [-9, 5, -12, -6, 11, 13, -2, -12, 13, 0],\n [0, 14, 1, 11, 3, 17, -24, 25, 8, 20],\n [6, 10, 9, 13, 17, 18, -17, -2, -22, 14],\n [-2, 4, -1... | 313 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[29, -1, -4, 23, 12, -28, -6, 9, -24, -15],\n [0, -29, 19, -4, -30, 20, -15, 13, -2, 27],\n [0, 0, 21, -1, -12, 11, 23, 23, 28, -2],\n [0, 0, 0, 5, -10, 0, -30, -30, -8, 17],\n [0, 0, 0, 0, -8, 26, 7, -25, -3, 19],\n [0, 0, 0, 0, 0, -18, 30, -1, -19, 28],\n [0, 0, ... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[24, 15, 11, 20, 8, 15, 2, 25, 26, 10],\n [0, 25, -1, 10, 14, -16, 11, -23, 15, 29],\n [0, 0, 18, 13, 24, -10, -10, -27, -16, 3],\n [0, 0, 0, -29, -29, 22, -16, -20, 7, 30],\n [0, 0, 0, 0, 11, -12, 6, 28, -22, 1],\n [0, 0, 0, 0, 0, 17, -9, 23, 13, 27],\n [0... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[7, -29, 30, 20, -28, 26, -13, 6, 25, 14],\n [0, -20, -29, 16, 0, 6, 30, 23, -9, 5],\n [0, 0, 28, -19, 21, -3, 17, 14, 26, -27],\n [0, 0, 0, 1, 10, 6, 19, -10, 27, 13],\n [0, 0, 0, 0, 16, 23, 9, 30, 10, 30],\n [0, 0, 0, 0, 0, -27, -5, 26, -15, 18],\n [0, 0, 0, 0, 0... | 440 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[27, -27, -7, -20, -14, 3, 13, 23, 9, 8],\n [17, -17, 19, 16, -23, 22, 1, 30, -23, -14],\n [-20, 8, -27, 18, 23, 4, -2, -12, -25, 18],\n [-5, 8, 20, -1, -17, -24, -29, -21, -16, -14],\n... | 884 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, 0, 20, -5, -3, 20, -26, -12, 10, -1],\n [0, -14, 4, 2, -2, 0, 1, -3, 26, -6],\n [20, 4, -29, -13, 10, 4, -4, 12, -7, 22],\n [-5, 2, -13, -4, -5, 2, 0, -3, -9, 26],\n [-3, -2, 10, -5, 16, ... | 704 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 10, -18, 24, 25, -30, 18, -21, 21, -25],\n [0, -13, -10, -7, 17, -13, 10, -9, 14, -16],\n [0, 0, 18, -3, 29, -22, 9, 26, -3, -4],\n [0, 0, 0, 9, 28, 4, -18, -19, -18, 22],\n [0, 0, 0, 0, 17, -12, 1, 26, -25, -24],\n [0, 0, 0, 0, 0, -17, -21, -21, -7,... | 0 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, -10, 24, -9, 4, 6, 2, 10, -2, 4],\n [-10, 18, 12, -29, 16, -3, 2, -4, -17, -14],\n [24, 12, 28, -4, 2, 11, 6, -10, 23, -16],\n [-9, -29, -4, -30, 10, 24, 4, 4, 7, -9],\n [4, 16, 2, 10, -11, 1, 14, -1, -10, 22],\n [6, -3, 11, 24, 1, -16, 6, 2, -12, -22... | 871 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[25, -9, 25, 28, 5, -10, 11, -21, 6, -2],\n [7, -23, -17, 16, -4, 2, -30, -27, 2, 1],\n [-21, -6, -8, 9, -7, -21, -8, -16, -13, -30],\n [-1, 12, 14, 24, -22, -17, -4, 11, -19, -9],\n [30, -13... | 444 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, -24, 29, 24, -5, -21, -1, -4, 22, 12],\n [0, -23, -8, -10, 28, 14, -22, 21, 10, -27],\n [0, 0, -12, 24, -6, 10, -26, 28, -7, -4],\n [0, 0, 0, 6, -4, 30, -15, -25, 29, -23],\n [0, 0, 0, 0, 20, -5, -3, -4, 13, -29],\n [0, 0, 0, 0, 0, 20, -12, 4, -17, -1... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-22, 12, -30, -3, 20, 26, -17, 18, 18, 29],\n [0, 29, -26, -25, -26, 10, 16, 0, 8, -13],\n [0, 0, -10, -14, -5, -23, -3, -20, -5, -11],\n [0, 0, 0, 22, -2, -19, 8, 16, 26, -25],\n [0, 0, 0, 0, -27, -4, 22, 22, 28, 2],\n [0, 0, 0, 0, 0, -1, -10, 4, -30, 6],\n [0, 0... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[30, 1, 9, 28, -16, -3, -1, 2, -29, 22],\n [0, -11, -4, -6, 13, 9, 14, -2, -1, -16],\n [0, 0, -30, -11, -21, -26, -22, -25, 9, 23],\n [0, 0, 0, 22, 2, -22, 0, -10, -9, -18],\n [0, 0, 0, 0, -3, 26, -4, -13, -8, -20],\n [0, 0, 0, 0, 0, 26, 16, -11, 21, 10],\n... | 0 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[24, 30, 10, 10, -5, -6, 20, 6, 25, 17],\n [0, 12, 21, -22, -9, 24, 18, -3, 23, 29],\n [7, 4, 4, -18, -20, -11, 2, -4, -26, -27],\n [-20, 15, -28, 6, -25, 27, 28, -5, 11, -29],\n [-25, ... | 383 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[23, -12, 22, -17, -19, -30, -5, -16, -11, 2],\n [10, 0, 21, 24, -19, -14, -10, 23, 2, 4],\n [-7, -30, 3, 28, 11, -10, 0, 29, 25, -19],\n [15, -3, -16, 26, 19, 1, -22, 0, -13, -3],\n [-17, -2... | 57 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-21, 12, -6, 4, 10, -16, 2, -2, -4, 27],\n [12, -25, -1, 17, -5, -1, 20, -6, -6, -2],\n [-6, -1, -12, -26, -4, 2, 5, 2, 12, -20],\n [4, 17, -26, -8, -2, 26, 14, -28, 0, -2],\n [10, -5, -4, -2, -5, -12, -19, 22, -1, 16],\n [-16, -1, 2, 26, -12, 20, -12, 2, ... | 307 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-30, -15, -13, 11, -28, 14, 6, 9, -20, -15],\n [-30, 19, -30, -14, -1, 1, 0, -4, 7, -26],\n [11, 6, -24, 24, 9, 25, -17, -6, -4, 10],\n [18, 5, -12, 9, -1, 27, -10, -24, -2, 12],\n [-7, -2, ... | 752 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[28, 13, 0, 25, -25, 1, 16, 5, 4, 20],\n [-1, 8, -4, -21, -27, -7, -3, 27, 15, -3],\n [26, -1, 1, 9, 6, 18, -26, 7, 15, -30],\n [30, 30, 26, -18, 12, 16, 0, 14, 30, -28],\n [5, 28, 26, 24, 15, -1, -22, 30, -8, 24],\n [12, 26, 19, -21, -4, 11, 27, 5, 15, 21... | 84 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-16, 26, 27, -18, -14, -4, -4, -12, 20, -13],\n [27, 29, 30, -17, -23, 16, -1, 17, -7, -15],\n [-17, -13, -15, 1, -7, -30, -30, -1, -2, -19],\n [27, 13, -15, -24, -12, 11, 14, -14, -28, 12],\n [11, -7, -17, -25, 5, 2, 4, 8, 28, -18],\n [29, 1, -11, -21, -3... | 536 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[23, 2, 12, 18, -24, -26, 18, -2, -12, -14],\n [2, 1, -18, -4, 13, -13, 4, -5, -10, -22],\n [12, -18, -20, -6, 20, -10, 5, -20, -9, 8],\n [18, -4, -6, 14, -16, -4, 10, -6, -4, 20],\n [-24, 13, 20, -16, -10, -16, 4, 16, 1, -7],\n [-26, -13, -10, -4, -16, -28, -8, 10... | 124 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, -11, 25, 25, -4, -25, -26, 3, -19, -25],\n [0, -8, 12, -16, -26, -27, -16, -1, 30, -7],\n [0, 0, 6, -17, -22, 6, 19, -21, -18, -26],\n [0, 0, 0, 6, 23, -2, 26, 16, 26, 25],\n [0, 0, 0, 0, 17, -15, -18, -6, -29, -5],\n [0, 0, 0, 0, 0, 15, 19, 9, 15, -1... | 320 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[30, -25, -12, -2, 12, -4, -11, 14, -20, 19],\n [-25, 13, -18, -3, 0, -5, 4, -2, 0, -14],\n [-12, -18, 9, -22, -9, -10, -16, 6, 1, 29],\n [-2, -3, -22, -13, 20, -1, 29, -21, 3, -14],\n [12, 0, -9, 20, 15, -14, -26, 11, 23, 20],\n [-4, -5, -10, -1, -14, 1, ... | 640 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -13, 4, -14, -6, -3, 12, 23, 13, 15],\n [0, 24, -16, -6, -24, -30, 0, 17, -2, 19],\n [0, 0, 4, 0, 21, 1, 20, -4, 3, -23],\n [0, 0, 0, -24, -19, 10, 21, 5, -16, 6],\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[[-26, 9, -7, -4, 22, 23, -2, 8, 6, -18],\n [9, 5, 26, -10, -20, 8, 4, -12, 4, 15],\n [-7, 26, -20, -3, 7, 14, 22, 14, 10, 26],\n [-4, -10, -3, -8, -6, -15, 6, 20, 4, 16],\n [22, -20, 7, -6, 1... | 273 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-13, -8, -22, -12, -2, -6, -4, 5, 24, -11],\n [-8, 29, 6, -23, 1, -9, 13, 0, 0, 4],\n [-22, 6, 13, -9, 2, 22, -3, 28, -19, 12],\n [-12, -23, -9, -3, -18, -14, 12, 12, 0, -10],\n [-2, 1, 2, -18, 27, -5, 1, 17, 17, 16],\n [-6, -9, 22, -14, -5, -13, 11, -21,... | 813 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[30, -4, -10, -12, -8, 16, 0, -18, -19, -6],\n [-4, 9, 20, 8, 2, 2, 1, -9, 4, 11],\n [-10, 20, 5, 17, -6, 0, 1, 1, 8, -22],\n [-12, 8, 17, 10, -12, -3, -10, 26, 4, 0],\n [-8, 2, -6, -12, 30, -2, -18, -19, 14, -15],\n [16, 2, 0, -3, -2, 6, 1, 7, -2, 6],\n [0, 1, 1, ... | 12 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -15, 3, 28, -17, 15, 6, -20, -8, -16],\n [9, 29, 27, 2, -13, 2, 1, -9, -1, 9],\n [-24, -10, 28, 5, 27, -9, 14, -30, -22, -11],\n [14, 29, -19, -4, -7, -2, 5, -27, -4, 15],\n [14, 2, -26, 2, 12, -9, -3, 0, 16, -12],\n [1, -16, 8, 13, 6, -12, -17, 7, -26, 22],\... | 173 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 16, -19, -23, 21, -19, -20, 12, -15, -1],\n [22, -13, -2, -19, -12, 23, -16, -4, 16, -14],\n [15, -6, 17, -7, -28, -3, 29, 3, 8, 17],\n [15, -26, 22, -15, 22, -30, -1, -30, 5, -29],\n [25, 21, -13, 23, 1, 24, -26, -7, 12, 21],\n [10, -20, -23, 8, 2, 0, ... | 552 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -17, 8, -6, -6, -6, 16, 18, -6, -16],\n [-17, -6, -9, -10, 2, -3, 2, 12, 14, 23],\n [8, -9, 24, 8, 2, -7, -8, -12, 0, -4],\n [-6, -10, 8, -24, -10, -27, 24, -25, -4, -21],\n [-6, 2,... | 168 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-21, 16, -20, -10, 2, 18, -7, -4, 12, 1],\n [16, 19, 14, -26, 18, -6, 9, -16, 27, 22],\n [-20, 14, -26, -10, 3, 0, -8, -4, 14, -16],\n [-10, -26, -10, 10, 9, 4, -10, -4, 2, 13],\n [2, 18, 3,... | 640 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[8, -24, -24, 7, 5, -22, -18, 30, -12, 27],\n [0, -7, -24, -19, -26, 19, -3, -15, 25, 20],\n [0, 0, -14, -1, 20, 17, -2, 24, -24, -6],\n [0, 0, 0, -13, 3, 20, 21, 17, -19, 26],\n [0, 0, 0, 0, -28, 22, -13, 25, -11, 6],\n [0, 0, 0, 0, 0, -26, -5, 12, 17, -27],\n [0,... | 152 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-21, 23, 22, 17, -30, 9, -25, -20, -28, 22],\n [0, 13, 27, 26, -6, -19, 7, -7, -18, 5],\n [0, 0, -15, -4, -20, 2, -21, -17, -5, -18],\n [0, 0, 0, -25, 2, 29, 30, 3, -17, -8],\n [0, 0, 0, 0, -15, -13, -28, 22, 15, 26],\n [0, 0, 0, 0, 0, -21, -29, -7, 4, -2],\n [0, ... | 0 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, -26, 25, -10, 17, 3, 13, -5, -17, -3],\n [28, -7, -12, -17, 2, -12, 28, 3, -18, 9],\n [-4, 14, 3, -25, 20, 24, 18, -13, -6, 21],\n [24, 24, -22, 13, 30, -27, 6, -25, -1, 1],\n [-4, -1, 9, -30, 0, -2, 18, -21, -9, -2],\n [-15, -25, -12, -10, -29, 5, -15... | 523 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-26, 19, -10, -10, 8, 8, 2, -17, -14, 16],\n [19, -17, 18, -11, 4, 16, -23, 4, 26, 2],\n [-10, 18, -29, 22, -3, 8, -6, 16, -6, -16],\n [-10, -11, 22, 7, 3, 9, 20, 2, -15, -21],\n [8, 4... | 179 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[6, -23, 1, 29, -3, -30, -28, 4, 18, 19],\n [9, -16, -26, 24, 5, 17, 1, 25, 7, 18],\n [16, 6, -28, 1, -12, -24, 11, -10, 0, 18],\n [-22, -2, 26, -2, 12, -10, 4, 17, 21, -18],\n [-6, 12, 25, -30, -3, 5, 2, 28, -16, -1],\n [-5, -3, -10, 13, 26, 6, 9, 10, -9, ... | 375 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, -12, 25, -17, -8, 25, 16, -22, -27, 20],\n [-22, -4, 11, 24, 13, -10, -19, -9, 24, 28],\n [26, -15, 29, 17, 5, 10, -23, -2, 23, 17],\n [17, 18, -12, -30, 11, -30, 20, 26, 12, 7],\n ... | 548 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-23, 0, 0, -27, -29, -8, -4, -1, -13, 18],\n [0, 18, -27, -28, -17, -10, 12, -7, -26, 15],\n [0, 0, 2, 24, -21, 9, -23, -30, 0, -21],\n [0, 0, 0, 18, -16, 1, -19, -21, 26, 16],\n [0, 0, 0, 0, 4, 1, 7, -15, -17, -4],\n [0, 0, 0, 0, 0, -24, 6, 9, 10, 15],\n... | 200 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -14, 24, -2, -1, 1, -17, 19, 0, -9],\n [-27, 6, -4, 7, 29, -2, 7, -24, -26, 1],\n [-10, 11, 29, 27, 3, -8, 17, -16, -18, 0],\n [-12, -8, 15, -5, -22, 19, -7, 28, -12, 15],\n [8, -8, -22,... | 791 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 3, -15, -25, -4, -16, -22, 15, -1, -10],\n [3, -10, 0, -8, -6, -20, 12, -13, 8, -10],\n [-15, 0, -17, 2, -9, -4, 14, -14, -2, 6],\n [-25, -8, 2, -5, 0, -16, -20, 0, 16, -14],\n [-4... | 672 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-22, 17, -25, 16, -30, -26, 4, -22, 28, -6],\n [-11, -14, 13, -19, 25, 9, -22, 27, -13, 2],\n [-22, 24, -7, -12, 22, 23, -29, 26, 19, 10],\n [22, 3, -25, 13, -19, -5, 6, 20, -16, -6],\n [3, -26, 15, -26, 29, 26, 19, 6, 27, 19],\n [-27, 1, -16, 9, 23, -16,... | 745 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 6, -12, 29, -9, 24, -5, -1, -6, -1],\n [-28, -5, -26, 25, -15, -15, 16, -11, 23, -8],\n [26, 9, -10, 27, 9, 11, -27, -26, 21, 6],\n [10, 29, 10, -24, -6, -21, 2, 10, -11, 24],\n [6, 17, ... | 445 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[23, 5, 18, -15, -29, 24, 5, 28, 3, 22],\n [0, -27, 19, -3, 5, 7, -19, 4, 18, -4],\n [0, 0, 13, 19, -25, 19, 21, -23, -13, -29],\n [0, 0, 0, -4, -25, -11, 1, 9, -9, 7],\n [0, 0, 0, 0, -... | 200 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -28, -9, -6, 23, -6, 12, 28, 4, -5],\n [0, -5, 19, -4, -17, -21, 12, -24, -23, -28],\n [0, 0, 18, -5, -23, -11, -11, 1, 19, -20],\n [0, 0, 0, -8, -4, -12, 16, 12, -23, 27],\n [0, 0... | 0 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-29, -29, -22, -4, -6, 2, 3, -25, -16, -16],\n [23, -6, -25, -26, 14, 26, -18, 24, -15, -28],\n [12, -19, 1, -26, -24, 14, -3, -22, -20, -16],\n [-16, -21, 11, -6, -2, -9, -21, -6, 20, -26],\n [-10, -24, -3, 19, -12, 0, 11, -4, -27, -13],\n [-19, 30, -20, 19, -11,... | 661 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[30, -11, -30, 27, -24, -15, -10, 27, -20, 20],\n [21, 15, 19, -6, 21, -11, 7, 29, 0, -6],\n [14, -5, 9, -16, -30, -20, 9, 6, 10, 20],\n [-24, 19, 25, 6, 10, 13, -30, -19, -7, -1],\n [5, -11, -15, -4, -30, -19, -25, -21, -1, 26],\n [6, -10, -17, 25, -25, -... | 742 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, -16, 19, 1, -21, -2, -10, 28, 18, -30],\n [-20, 5, -11, -18, -4, 20, 13, -23, -3, 1],\n [17, -5, -9, 18, 17, -4, -5, 5, -2, -30],\n [5, 5, -11, -1, 29, -16, -6, -27, 24, 23],\n [-29, 15, -10, 21, -14, -6, -10, -3, 18, 23],\n [21, 20, 26, -2, 10, -17, -22, -23,... | 411 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 23, 28, 17, 2, -25, -12, 5, -5, -26],\n [20, 16, 18, -17, -8, 9, -5, -2, -10, 21],\n [3, 27, -21, -25, -18, 13, -20, -4, -7, -8],\n [-13, 11, 5, -1, -16, 28, 23, 29, -26, 29],\n [-1... | 281 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-18, 26, 16, -19, -30, -25, -10, 24, -3, 30],\n [0, 15, -17, -17, -22, -7, -2, -22, 3, -6],\n [0, 0, -10, 4, 5, -12, -29, 9, -12, 13],\n [0, 0, 0, 13, -10, 27, -1, -9, -15, 13],\n [0, 0, 0, 0, 29, -7, 16, 29, 17, -26],\n [0, 0, 0, 0, 0, -4, 19, -2, -8, -10],\n [0,... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, 13, -27, -23, -6, 15, -30, -23, -13, 0],\n [-24, 8, -8, 14, -4, 24, -6, 6, -5, -15],\n [16, -27, -30, -29, -16, -19, 17, -17, 4, 16],\n [-30, 25, -5, -1, -13, 30, -21, -3, 19, 2],\n [-13,... | 281 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[18, -9, 2, 2, 3, -25, 24, -2, -12, -30],\n [0, -29, -17, -9, -13, 26, 0, 11, 22, -30],\n [0, 0, -26, 11, -7, -21, -12, 17, 30, -12],\n [0, 0, 0, 11, 14, 11, -22, -28, 15, -25],\n [0, 0, 0, 0... | 520 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[28, -19, 12, 2, 26, -1, -10, -11, 26, -1],\n [8, 27, 25, -6, -4, -11, 27, 22, -27, 15],\n [1, 2, -22, -11, 3, 2, 20, 23, -24, 10],\n [-28, 23, 17, -11, 26, -4, 12, 12, -11, -25],\n [1, 9, 30... | 905 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[28, -6, -3, 20, -5, 14, 14, -18, -18, -5],\n [-6, 27, 9, -12, 6, -4, -24, -10, -12, -9],\n [-3, 9, -21, 4, 0, 0, -18, 0, 16, -22],\n [20, -12, 4, 29, 2, -12, -16, 19, 6, 16],\n [-5, 6,... | 673 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[26, 17, 23, -23, -23, -28, 11, 11, 9, 2],\n [0, 29, -7, -14, 27, -26, 10, 0, 16, 0],\n [0, 0, 18, 1, 22, -20, -23, -25, -18, -25],\n [0, 0, 0, -4, 16, 16, 13, -11, 17, 5],\n [0, 0, 0, 0, -5, -21, -27, -21, -12, -17],\n [0, 0, 0, 0, 0, 7, 16, -21, 12, 20],\n [0, 0,... | 400 | MATH |
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