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[[-18, -10, -12, -6, 2, 0, 14],\n [0, -7, 18, -18, -6, 6, -9],\n [0, 0, -16, 4, -17, 5, 7],\n [0, 0, 0, -14, 12, -12, -16],\n [0, 0, 0, 0, 18, 10, 0],\n [0, 0, 0, 0, 0, -4, -3],\n [0, 0, 0, 0,... | 768 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-17, -4, 15, -8, 16, 6, -5],\n [12, -9, -9, -16, -11, 5, 11],\n [-14, -2, -7, 0, -4, -1, -1],\n [0, 1, -13, -7, 15, -1, 18],\n [5, 8, -5, 12, 17, -18, 8],\n [5, 2, -7, -12, 14, -15, 6],\n [-3, 18, -5, 1, -14, -12, -7]]? Round to the nearest integer, then e... | 571 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 4, 17, 11, -17, 11, 18],\n [0, 16, -13, -10, -6, 9, -17],\n [0, 0, -1, -8, -1, -10, 5],\n [0, 0, 0, 14, -1, 6, 0],\n [0, 0, 0, 0, 13, 14, -2],\n [0, 0, 0, 0, 0, 3, 16],\n [0, 0, 0, 0, 0, 0, 4]]? Round to the nearest integer, then express your answer mod... | 56 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[16, 4, 4, 9, -8, 8, -10],\n [4, 6, -6, -10, -2, -6, 3],\n [4, -6, -9, -1, -8, -2, -1],\n [9, -10, -1, -11, -6, 2, 2],\n [-8, -2, -8, -6, 13, -12, -2],\n [8, -6, -2, 2, -12, 9, -7],\n [... | 437 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-12, 1, -10, 11, -13, -12, 8],\n [0, 8, 13, -11, 1, 11, -18],\n [0, 0, -1, 13, -5, -6, -13],\n [0, 0, 0, -15, -5, 10, 0],\n [0, 0, 0, 0, 9, 15, 3],\n [0, 0, 0, 0, 0, -6, 10],\n [0, 0, 0, 0, 0, 0, 13]]? Round to the nearest integer, then express your answer... | 880 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-6, 10, 9, 0, -7, 1, 11],\n [0, -1, 7, 11, 18, 7, 0],\n [0, 0, 6, 3, 12, -5, 4],\n [0, 0, 0, -3, -8, 8, 15],\n [0, 0, 0, 0, -12, 16, -9],\n [0, 0, 0, 0, 0, -1, 8],\n [0, 0, 0, 0, 0, 0, -9]]? Round to the nearest integer, then express your answer modulo 100... | 664 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-2, 14, 3, 12, -17, -11, 11],\n [-5, -4, 8, -3, -12, -4, -1],\n [-3, 1, -12, 15, 1, 12, 13],\n [-12, -18, 5, 3, -11, 16, -2],\n [1, 12, -16, -16, 1, -10, 2],\n [-13, -7, -7, -10, 2, -15, -8],\n [-13, 9, -6, -18, -15, 8, -12]]? Round to the nearest integer,... | 945 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[14, 2, -8, 6, -1, 6, -16],\n [2, 7, -1, 1, 5, 10, -4],\n [-8, -1, -9, 0, -4, 5, 6],\n [6, 1, 0, -16, -7, 14, -10],\n [-1, 5, -4, -7, 8, -2, 0],\n [6, 10, 5, 14, -2, -2, 2],\n [-16, -4, 6, -10, 0, 2, 3]]? Round to the nearest integer, then express your answ... | 241 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[17, -2, 0, 0, -13, -11, -6],\n [-2, 2, -2, -8, -5, 13, 7],\n [0, -2, 1, 14, -2, -6, -2],\n [0, -8, 14, -5, 10, -4, -4],\n [-13, -5, -2, 10, -1, 2, 0],\n [-11, 13, -6, -4, 2, -3, -12],\n [-6, 7, -2, -4, 0, -12, 10]]\nRound to the nearest integer, then take the resu... | 587 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -15, 5, 7, -1, -6, 11],\n [0, -18, 0, -15, -7, 15, -9],\n [0, 0, -16, 2, -8, -9, -1],\n [0, 0, 0, 2, -4, 3, 3],\n [0, 0, 0, 0, 3, 4, -7],\n [0, 0, 0, 0, 0, 3, 14],\n [0, 0, 0, 0, 0, 0, 1... | 528 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 1, 5, 2, 8, -3, -14],\n [-5, -10, -11, -6, 14, 14, 10],\n [-18, -3, -6, -2, -10, 16, 0],\n [-9, -18, -18, -2, -9, -18, 10],\n [11, 0, 6, 11, -6, -14, -3],\n [-12, -4, 6, 5, -10, -9, -11],\n [10, 6, -6, -8, 7, -15, 13]]\nRound to the nearest integer, then take... | 268 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[0, 4, -3, -6, 12, -8, -4],\n [4, 6, 10, 6, -6, -3, -2],\n [-3, 10, -9, -3, 6, 6, -5],\n [-6, 6, -3, -3, 6, 10, 6],\n [12, -6, 6, 6, -4, 2, -11],\n [-8, -3, 6, 10, 2, -12, 8],\n [-4, -2, -5, 6, -11, 8, 17]]? Round to the nearest integer, then express your a... | 915 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 8, 7, -2, -12, -16, 12],\n [8, -18, -15, 0, -2, 8, 12],\n [7, -15, 1, 8, -12, -18, -4],\n [-2, 0, 8, -15, -4, -2, -9],\n [-12, -2, -12, -4, -3, -15, 0],\n [-16, 8, -18, -2, -15, -2, -12],\n [12, 12, -4, -9, 0, -12, -2]]? Round to the nearest integer, t... | 497 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -17, -3, -12, -14, 16, -9],\n [0, 1, 8, -11, -16, 16, -16],\n [0, 0, 18, 3, -1, 15, 12],\n [0, 0, 0, 14, -13, -5, -7],\n [0, 0, 0, 0, -3, -17, 13],\n [0, 0, 0, 0, 0, -1, -13],\n [0, 0, 0... | 328 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, 4, 2, -6, -2, -9, -10],\n [4, 11, -3, -6, 0, -10, -12],\n [2, -3, -4, 6, 6, 6, 10],\n [-6, -6, 6, 15, 0, 0, -8],\n [-2, 0, 6, 0, -15, -8, 8],\n [-9, -10, 6, 0, -8, -1, -2],\n [-10, -12, 1... | 190 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-13, -13, -7, -5, -4, -4, -2],\n [-13, 0, -9, 2, 2, 0, -15],\n [-7, -9, -11, 2, -9, -3, 2],\n [-5, 2, 2, -16, 2, 0, 6],\n [-4, 2, -9, 2, 15, 8, 14],\n [-4, 0, -3, 0, 8, -11, -12],\n [-2, -15, 2, 6, 14, -12, 14]]\nRound to the nearest integer, then take the result ... | 865 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[0, -9, -1, 4, 11, -6, 0],\n [-9, 14, 18, 6, 8, 0, -6],\n [-1, 18, -17, 10, 0, -5, -5],\n [4, 6, 10, -11, -10, -3, 10],\n [11, 8, 0, -10, 10, 4, -2],\n [-6, 0, -5, -3, 4, -10, -2],\n [0, -6, ... | 736 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 0, -4, 0, 2, 10, 2],\n [0, -12, 16, 14, -2, 7, -2],\n [-4, 16, -7, -10, -1, -4, -1],\n [0, 14, -10, 11, 12, 8, 6],\n [2, -2, -1, 12, 4, 6, -6],\n [10, 7, -4, 8, 6, -3, -10],\n [2, -2, -1, 6, -6, -10, 14]]\nRound to the nearest integer, then give your ... | 918 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 3, 1, -9, -12, 12, -10],\n [13, 11, -14, -18, 4, -7, 16],\n [5, 2, 1, 17, -5, 7, 13],\n [-8, -3, -5, -8, -1, -17, 5],\n [7, 17, -12, -15, -8, 18, -17],\n [1, 8, 13, -6, 14, 2, 5],\n [-16, -9, 9, 9, -9, -12, -8]]\nRound to the nearest integer, then gi... | 822 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, 8, -8, 0, -2, 6, 14],\n [8, 11, 8, 2, -1, 5, 16],\n [-8, 8, -9, -10, -8, -18, -4],\n [0, 2, -10, 1, 8, -7, 9],\n [-2, -1, -8, 8, 13, 4, -12],\n [6, 5, -18, -7, 4, 6, 16],\n [14, 16, -4, 9, -12, 16, -18]]? Round to the nearest integer, then express your ... | 785 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -13, 0, -12, 18, 9, -16],\n [-5, 6, -1, -3, 18, -4, -12],\n [10, 11, 12, 17, 4, -2, 18],\n [-9, 13, -4, 18, 7, 10, 16],\n [5, 17, -13, -2, -11, 2, 14],\n [14, -12, -13, -4, 7, 10, -... | 858 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, -7, 3, -5, 11, 10, -18],\n [0, 9, -2, 18, -13, -7, 6],\n [0, 0, 1, 14, -1, 3, -5],\n [0, 0, 0, -4, 16, -3, 13],\n [0, 0, 0, 0, -10, -15, 18],\n [0, 0, 0, 0, 0, -5, 3],\n [0, 0, 0, 0, 0, 0, -4]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 800 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-13, -18, -3, 7, 16, -12, 6],\n [0, -3, 15, -2, -1, 15, -11],\n [0, 0, 1, 1, 15, -18, 4],\n [0, 0, 0, -4, 10, -13, 13],\n [0, 0, 0, 0, 15, -17, 13],\n [0, 0, 0, 0, 0, -2, -3],\n [0, 0, 0, 0, 0, 0, -3]]? Round to the nearest integer, then express your answe... | 960 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 9, -16, -5, 11, 7, -5],\n [0, 2, 14, 18, 8, -9, 12],\n [0, 0, 9, -5, 0, -10, -10],\n [0, 0, 0, -17, 7, -14, -3],\n [0, 0, 0, 0, -10, 10, 7],\n [0, 0, 0, 0, 0, -1, -13],\n [0, 0, 0, 0, 0, 0, -2]]? Round to the nearest integer, then express your answer mo... | 960 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 6, -7, 7, -4, -13, -16],\n [15, 8, -2, 14, 16, -16, 11],\n [-1, 1, 11, -18, -5, -6, 3],\n [17, -14, 7, 9, 5, 7, 1],\n [16, 14, 2, -15, 11, 3, -5],\n [-13, 8, -15, 16, -6, -18, -18... | 530 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[4, 0, -6, -12, -4, 10, 0],\n [0, -9, -2, -4, -6, -8, -3],\n [-6, -2, -7, -7, 6, -11, -11],\n [-12, -4, -7, 4, -1, 8, -7],\n [-4, -6, 6, -1, 12, -8, 2],\n [10, -8, -11, 8, -8, -6, -2],\n [0, -3, -11, -7, 2, -2, 9]]\nRound to the nearest integer, then give ... | 500 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[6, 0, -18, 12, -6, -9, 2],\n [10, 11, 4, -15, 12, -18, 16],\n [5, -13, -17, 16, -11, -16, -17],\n [16, 12, 6, -12, 15, -2, 8],\n [4, -5, 12, 16, 8, 18, 9],\n [6, -3, -7, -18, -16, 17, -12],\n [12, -15, -6, -16, 13, 18, -10]]\nRound to the nearest integer, then tak... | 583 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -9, 0, 1, -2, -8, -2],\n [-9, -2, -1, 0, -5, -1, -8],\n [0, -1, 13, -8, 2, 2, 3],\n [1, 0, -8, 2, -12, 6, 2],\n [-2, -5, 2, -12, 8, 14, 17],\n [-8, -1, 2, 6, 14, -10, 2],\n [-2, -8, 3, 2, 17, 2, -8]]? Round to the nearest integer, then express your ans... | 937 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, 3, -15, 15, -2, 10, -2],\n [0, 9, -14, -17, 3, 2, -9],\n [-15, -17, -6, 11, -1, 9, 4],\n [5, -3, -6, -6, 18, -5, -4],\n [15, -9, -13, -5, 6, 8, -2],\n [4, -11, -8, -1, 8, -3, 16],\n [-11... | 854 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -18, -11, -11, 6, -1, 10],\n [0, 8, 7, 2, 13, -9, 13],\n [0, 0, -7, -3, -17, 12, -2],\n [0, 0, 0, -5, -18, -12, -12],\n [0, 0, 0, 0, -3, 0, 1],\n [0, 0, 0, 0, 0, 16, 7],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then give your answer as ... | 760 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[0, -4, -5, -5, -16, 13, -15],\n [-15, 1, 1, -16, 1, 0, 7],\n [11, -5, -15, 18, 7, 3, 18],\n [-16, -5, 11, 18, -6, 6, -18],\n [-6, 18, 11, 13, -6, -9, -10],\n [16, 0, 17, 4, -1, -15, 12... | 899 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 14, 6, 4, 10, 14, -2],\n [14, 17, -5, 0, 1, -4, 6],\n [6, -5, 7, 4, -5, 6, 5],\n [4, 0, 4, -10, 0, 0, -14],\n [10, 1, -5, 0, -9, 0, 2],\n [14, -4, 6, 0, 0, 7, -2],\n [-2, 6, 5, -14, 2, -2, -14]]\nRound to the nearest integer, then give your answer as ... | 208 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 6, 17, -11, -6, 2, 13],\n [-2, 17, 0, 10, 16, 3, 6],\n [-18, 3, 6, -3, 6, -10, -15],\n [4, 9, 8, 17, 4, 18, -10],\n [-15, 14, -10, -9, -15, 15, -6],\n [-2, 4, 4, -14, -17, 2, 16],\n [11, -4, -8, -3, 16, 0, 3]]\nRound to the nearest integer, then give... | 867 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, 4, 10, 8, 10, 4, -16],\n [4, 10, 0, -1, 14, -5, -7],\n [10, 0, -11, -10, -5, -1, 0],\n [8, -1, -10, -7, 12, -10, -14],\n [10, 14, -5, 12, 14, -4, 3],\n [4, -5, -1, -10, -4, -16, -11],\n [... | 249 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 17, 3, -5, -1, -4, 5],\n [-11, -15, 17, 6, -9, -5, -5],\n [-14, -10, 7, -11, 5, -15, -16],\n [7, 1, 14, -17, -1, -4, -13],\n [9, -8, 13, 12, -18, 2, -11],\n [7, -15, 14, -12, 0, -6, -5],\... | 542 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 0, -4, -5, 9, 7, 7],\n [0, 0, 0, 2, 0, -2, -4],\n [-4, 0, -1, -4, -15, 4, 12],\n [-5, 2, -4, 3, 4, -6, 6],\n [9, 0, -15, 4, 12, 7, -3],\n [7, -2, 4, -6, 7, 15, 2],\n [7, -4, 12, 6, -3, 2,... | 948 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 0, -17, -11, 6, -18, 16],\n [0, 14, 8, -2, 15, -9, -2],\n [0, 0, -6, -14, 2, 13, -10],\n [0, 0, 0, 3, 5, 7, 5],\n [0, 0, 0, 0, 1, -8, -5],\n [0, 0, 0, 0, 0, 7, -14],\n [0, 0, 0, 0,... | 860 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[10, -4, -8, 1, -8, 14, 5],\n [-4, 7, -2, 10, -2, 4, -6],\n [-8, -2, -18, -13, -1, 16, -3],\n [1, 10, -13, -12, -5, 10, 8],\n [-8, -2, -1, -5, -10, 2, 4],\n [14, 4, 16, 10, 2, 4, -5],\n [5, -6, -3, 8, 4, -5, -14]]\nRound to the nearest integer, then take the result... | 817 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -7, -17, 7, 16, -1, -11],\n [0, 2, -4, 7, -16, -9, 13],\n [0, 0, 16, 16, 7, 13, 7],\n [0, 0, 0, 5, 7, 4, -7],\n [0, 0, 0, 0, -2, -8, 12],\n [0, 0, 0, 0, 0, 15, -18],\n [0, 0, 0, 0, 0, 0, 11]]\nRound to the nearest integer, then take the result modulo 1000.\n\... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, 8, -3, -2, 9, -3, 4],\n [8, -8, 0, -5, -4, -12, -6],\n [-3, 0, -12, -17, 9, 6, -1],\n [-2, -5, -17, 18, -2, 8, -2],\n [9, -4, 9, -2, -18, -6, -3],\n [-3, -12, 6, 8, -6, -8, 4],\n [4, -6, -1, -2, -3, 4, -12]]? Round to the nearest integer, then express ... | 908 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -6, -8, -4, 0, -12, -5],\n [-6, 0, 2, 3, 4, 1, 14],\n [-8, 2, 3, -1, -8, 2, -11],\n [-4, 3, -1, -12, -4, 6, -4],\n [0, 4, -8, -4, -16, -2, 10],\n [-12, 1, 2, 6, -2, -11, -18],\n [-... | 772 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, -2, 0, 10, -2, 1, 8],\n [-2, -11, -2, -8, -14, 2, -4],\n [0, -2, 2, 0, -8, 1, -6],\n [10, -8, 0, 1, -2, 12, -11],\n [-2, -14, -8, -2, -5, 14, -7],\n [1, 2, 1, 12, 14, 3, 4],\n [8, -4, -6, -11, -7, 4, 7]]\nRound to the nearest integer, then give your a... | 741 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, -7, 8, -1, 8, -18, -15],\n [-5, -9, -2, -11, -7, 18, -13],\n [-3, -12, 10, -8, 1, -15, 5],\n [-7, -2, 13, -1, 12, -3, -10],\n [17, 9, 1, 18, -18, -2, -15],\n [0, -10, 7, -6, 5, 11, -14],\n [-15, 17, -6, 18, 3, -13, -18]]? Round to the nearest integer, ... | 454 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 2, 13, 3, -14, -7, 3],\n [7, -16, -14, -18, 0, 2, 5],\n [18, -18, -8, -2, -11, -1, -13],\n [0, 12, 12, 4, 14, 8, 0],\n [0, -2, -18, 8, -2, -2, 8],\n [0, -7, -18, 7, 17, -10, 0],\n [2, 15, 10, -18, 18, 0, 0]]\nRound to the nearest integer, then give you... | 496 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-13, 0, -16, 8, -7, -4, 10],\n [0, 4, 0, -15, -13, -2, 5],\n [0, 0, -16, -10, -12, -2, -13],\n [0, 0, 0, -1, -5, 8, 3],\n [0, 0, 0, 0, 1, 6, 17],\n [0, 0, 0, 0, 0, 11, 11],\n [0, 0, 0,... | 432 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 13, 16, 13, 2, -11, -10],\n [-5, -9, -12, -6, -11, 0, -12],\n [3, -8, -5, 4, -10, -10, 7],\n [-9, 2, 17, -9, 12, 15, 0],\n [-9, 8, -2, -5, 12, -17, 12],\n [-5, -3, 15, -2, 8, 0, 0],\n [-2, 10, -12, -12, 13, -8, -13]]\nRound to the nearest integer, then take t... | 656 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, -13, 2, 0, -1, 12, 6],\n [-13, 5, -4, 6, -14, 4, 4],\n [2, -4, -4, 4, 14, -2, 2],\n [0, 6, 4, -2, 8, -6, -2],\n [-1, -14, 14, 8, -4, -8, -12],\n [12, 4, -2, -6, -8, -5, 13],\n [6, 4, 2, -2, -12, 13, 13]]\nRound to the nearest integer, then take the result modul... | 608 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -14, -13, 6, -11, 2, -9],\n [0, 5, -18, -1, -17, -6, -15],\n [0, 0, -3, -17, 10, -15, -14],\n [0, 0, 0, 4, 6, -10, -16],\n [0, 0, 0, 0, -5, 9, -4],\n [0, 0, 0, 0, 0, 4, 9],\n [0, 0, 0, 0, 0, 0, 7]]\nRound to the nearest integer, then take the result modulo 10... | 600 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, -8, 8, 10, 17, 8, 3],\n [-16, -7, 1, 3, 3, -10, 9],\n [6, 13, 4, -13, 16, 8, -3],\n [-13, 3, -7, 3, -3, 0, 6],\n [14, -3, 1, 15, -7, -18, -4],\n [-6, -12, 10, -18, 8, 1, -15],\n [-18, -3, 6, 6, -12, -13, 14]]\nRound to the nearest integer, then take the result ... | 281 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -5, 13, -2, 6, -13, -10],\n [0, -14, -14, 5, 10, 10, -10],\n [0, 0, -1, 12, 13, 16, 15],\n [0, 0, 0, 2, -11, 18, 0],\n [0, 0, 0, 0, -4, -15, 7],\n [0, 0, 0, 0, 0, 18, 8],\n [0, 0, 0, 0, 0, 0, 16]]\nRound to the nearest integer, then take the result modulo 1000... | 48 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[17, -16, 1, 12, 1, -7, -3],\n [0, 9, -10, -1, 9, -16, 3],\n [0, 0, -4, 1, -5, 18, -2],\n [0, 0, 0, -11, 13, -14, 6],\n [0, 0, 0, 0, -14, 9, -8],\n [0, 0, 0, 0, 0, -1, 9],\n [0, 0, 0, 0, 0, 0, 12]]\nRound to the nearest integer, then give your answer as de... | 976 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[9, 1, -16, -10, -16, -2, 6],\n [0, -5, 16, 12, 4, 9, -16],\n [0, 0, -11, -1, 8, -1, -1],\n [0, 0, 0, 1, 3, -16, -2],\n [0, 0, 0, 0, 7, -17, -3],\n [0, 0, 0, 0, 0, 3, -12],\n [0, 0, 0, 0, 0, 0, -4]]? Round to the nearest integer, then express your answer mo... | 420 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-18, 8, -11, 18, -8, 16, 0],\n [2, -16, 11, -11, -8, -16, 5],\n [14, 3, -15, -5, 12, 16, -10],\n [-17, -16, 17, 18, -4, 5, 1],\n [1, 15, 11, -14, -13, -16, 3],\n [-18, 14, -5, 1, 16, 14, -11],\n [7, -15, -10, 6, 13, 15, -3]]? Round to the nearest integer, ... | 590 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[18, 2, 11, -1, 16, -9, -6],\n [0, 8, -4, 1, -4, -9, 18],\n [0, 0, -1, -4, 6, -14, 3],\n [0, 0, 0, 8, -2, 10, -8],\n [0, 0, 0, 0, -2, -14, -15],\n [0, 0, 0, 0, 0, 14, 9],\n [0, 0, 0, 0, 0, 0, -8]]? Round to the nearest integer, then express your answer modu... | 952 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[13, -4, -15, -6, -4, 10, 5],\n [-4, 7, 0, 4, 5, -2, -16],\n [-15, 0, 1, 11, -10, -6, 12],\n [-6, 4, 11, 14, 2, 4, -5],\n [-4, 5, -10, 2, 13, -2, -1],\n [10, -2, -6, 4, -2, 1, -2],\n [5, -16, 12, -5, -1, -2, 8]]\nRound to the nearest integer, then take the result m... | 797 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 2, 13, -7, -14, 10, 14],\n [0, 13, -17, 3, -9, -12, 6],\n [0, 0, -15, 4, 1, -3, -8],\n [0, 0, 0, 3, 7, 14, -6],\n [0, 0, 0, 0, 18, -9, -3],\n [0, 0, 0, 0, 0, -3, -1],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as det... | 820 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[12, 13, -9, 10, -3, -13, 4],\n [13, -11, 0, -4, -3, 2, 4],\n [-9, 0, 1, -2, 16, 10, -2],\n [10, -4, -2, -11, 8, -6, -1],\n [-3, -3, 16, 8, -15, -2, 12],\n [-13, 2, 10, -6, -2, 11, 9],\n [4, 4, -2, -1, 12, 9, 9]]? Round to the nearest integer, then express ... | 840 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -2, 8, 8, 4, -9, -6],\n [-2, -9, 3, -6, -4, 6, 0],\n [8, 3, 16, -4, 12, 1, 10],\n [8, -6, -4, 5, 12, 2, 1],\n [4, -4, 12, 12, 6, 14, -6],\n [-9, 6, 1, 2, 14, -3, 9],\n [-6, 0, 10, ... | 484 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 16, -5, 7, -10, -8, -10],\n [0, 9, 4, 2, -8, 6, 17],\n [0, 0, -2, 18, 7, 10, -17],\n [0, 0, 0, 14, -6, 14, 7],\n [0, 0, 0, 0, 5, -1, 8],\n [0, 0, 0, 0, 0, 18, 0],\n [0, 0, 0, 0, 0, ... | 520 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[3, 18, -8, 6, 14, 14, -9],\n [0, -7, -13, 13, 3, 0, 0],\n [0, 0, -2, 12, -5, 13, 6],\n [0, 0, 0, -7, 3, -11, 11],\n [0, 0, 0, 0, -15, -7, -4],\n [0, 0, 0, 0, 0, -2, -12],\n [0, 0, 0, 0, 0, 0, -9]]? Round to the nearest integer, then express your answer mod... | 380 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-9, -10, 1, -7, 12, 6, -17],\n [6, -6, -12, 12, -4, 15, -8],\n [-14, -6, -1, -3, 4, -5, -3],\n [9, -10, -5, 10, 9, -11, -5],\n [6, -11, 17, 15, 2, -18, -3],\n [12, 10, -8, 15, 3, 2, 11],\n [2, 3, 9, -7, 16, 7, 5]]? Round to the nearest integer, then expres... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-1, -18, -9, 16, -12, -12, -9],\n [-9, 5, -3, -13, -16, -12, 0],\n [-13, 6, 4, -18, 9, -11, -13],\n [-6, -5, -9, -16, 8, 10, 1],\n [-16, 17, 5, 9, -13, 6, -5],\n [12, -10, -12, -1, -13, 8, -15],\n [2, -18, -3, -8, 15, 3, 17]]\nRound to the nearest integer, then ta... | 862 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[10, -1, 0, -12, -13, -3, 5],\n [0, -13, -13, -10, 0, 4, -5],\n [0, 0, 4, 0, -8, 10, -10],\n [0, 0, 0, 11, 1, -11, 18],\n [0, 0, 0, 0, -5, -6, 3],\n [0, 0, 0, 0, 0, -14, -8],\n [0, 0, 0, 0, 0, 0, 6]]? Round to the nearest integer, then express your answer m... | 600 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, 13, 9, 10, 18, 13, -4],\n [0, 14, -17, -18, 9, 2, 17],\n [0, 0, -1, -5, -3, 5, 3],\n [0, 0, 0, -4, -17, -6, 5],\n [0, 0, 0, 0, 4, 4, 0],\n [0, 0, 0, 0, 0, 1, -15],\n [0, 0, 0, 0, 0, 0, 15]]? Round to the nearest integer, then express your answer modulo... | 680 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 2, -9, -14, -14, -4, 1],\n [2, 2, 8, -2, 7, -13, 0],\n [-9, 8, -15, -16, -14, -7, -8],\n [-14, -2, -16, -9, 6, 8, -11],\n [-14, 7, -14, 6, 8, 0, -12],\n [-4, -13, -7, 8, 0, -16, -4... | 343 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 1, -7, -8, -10, 12, -2],\n [1, -17, 7, -7, 0, 3, -6],\n [-7, 7, -12, -2, 0, 0, 6],\n [-8, -7, -2, -1, -8, -8, 0],\n [-10, 0, 0, -8, 18, -1, 0],\n [12, 3, 0, -8, -1, 9, -1],\n [-2, -6, 6, ... | 492 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[5, -9, 15, 5, -15, -1, 16],\n [0, -6, -4, 5, -10, 11, -6],\n [13, 10, -2, 14, 13, -18, -9],\n [-9, 10, 7, -12, -5, 2, 14],\n [-2, 10, -16, -9, -3, 6, -9],\n [10, -5, -15, -16, 0, -18, 11],\n [-1, -7, -14, 0, -12, 11, 7]]\nRound to the nearest integer, the... | 770 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -15, 18, 3, -17, 3, -8],\n [0, 14, 3, -5, 10, -12, -4],\n [0, 0, 11, 8, -16, 16, 9],\n [0, 0, 0, -1, 2, 8, -12],\n [0, 0, 0, 0, -10, 11, 15],\n [0, 0, 0, 0, 0, -1, 18],\n [0, 0, 0, 0, 0, 0, -6]]\nRound to the nearest integer, then take the result modulo 1000.\... | 520 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, -13, -3, 16, -3, 6, 0],\n [-12, 0, 10, 14, -6, 15, -11],\n [2, -3, -8, -15, -18, -3, 15],\n [-12, 18, 17, 3, 18, 5, -5],\n [-3, 9, 15, -14, -2, -1, 2],\n [18, 16, -15, -8, 9, 10, 18],\n [-4, -13, 7, -14, 7, -11, -10]]? Round to the nearest integer, the... | 341 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -14, 11, 7, -13, 6, -14],\n [-7, -5, -6, -4, 2, -9, -15],\n [-2, -12, 15, -15, 18, -17, -14],\n [17, -18, 17, 3, -7, -4, -4],\n [-16, 17, 11, 17, -13, 14, 15],\n [-3, 15, 2, -3, 12, -12, 12],\n [-6, -7, 17, -6, -15, -17, -4]]\nRound to the nearest int... | 560 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, -12, 8, -5, -4, 9, 6],\n [-12, -11, 10, 0, 0, 6, 0],\n [8, 10, -1, 6, -8, -6, 4],\n [-5, 0, 6, -1, 11, 9, 10],\n [-4, 0, -8, 11, -4, 4, -13],\n [9, 6, -6, 9, 4, 7, -8],\n [6, 0, 4, 10, ... | 156 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 11, 9, -9, 3, -14, 15],\n [0, 13, 1, -2, 2, 10, 7],\n [0, 0, -12, -17, 18, -7, -11],\n [0, 0, 0, -3, -10, -4, -14],\n [0, 0, 0, 0, -6, -4, 0],\n [0, 0, 0, 0, 0, 3, -18],\n [0, 0, 0,... | 608 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 8, 1, -2, 0, 0, -8],\n [8, -12, -4, -2, -10, -2, 4],\n [1, -4, -1, -4, -15, -2, 14],\n [-2, -2, -4, -17, -14, -2, -8],\n [0, -10, -15, -14, 16, -1, -1],\n [0, -2, -2, -2, -1, -13, 5... | 768 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[13, -10, 5, 10, 10, 7, 5],\n [-12, -3, 4, 17, 9, -18, -13],\n [14, 5, 6, 10, -2, 1, 15],\n [-16, -7, -5, -9, 6, 15, 5],\n [-12, 11, -11, 18, 4, 0, 6],\n [-10, 2, 3, -16, 8, -4, -5],\n [11, 8, 10, -16, 14, -15, -4]]? Round to the nearest integer, then expre... | 820 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -4, 2, 12, 2, 12, 12],\n [-4, -7, 10, -2, 0, -7, 2],\n [2, 10, 18, -8, 7, -2, 12],\n [12, -2, -8, 3, 14, 14, -12],\n [2, 0, 7, 14, 1, 12, -3],\n [12, -7, -2, 14, 12, -8, 2],\n [12, 2, 12, -12, -3, 2, -15]]\nRound to the nearest integer, then take the result m... | 706 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[1, -12, 14, 15, 3, 6, -10],\n [0, -4, 14, 9, -11, 11, -5],\n [0, 0, -11, 1, 12, -4, -2],\n [0, 0, 0, -13, -17, 13, -14],\n [0, 0, 0, 0, -16, -10, 13],\n [0, 0, 0, 0, 0, -12, 4],\n [0, 0, 0, 0, 0, 0, 4]]? Round to the nearest integer, then express your answ... | 704 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -2, 16, 12, -9, 5, 8],\n [0, -14, -17, -4, -5, 10, -17],\n [0, 0, 2, 1, 16, 3, 7],\n [0, 0, 0, 1, -3, -15, 0],\n [0, 0, 0, 0, -1, 6, -5],\n [0, 0, 0, 0, 0, 3, -8],\n [0, 0, 0, 0, 0, 0, -... | 320 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 0, 4, 4, -4, -1, 14],\n [0, 6, 10, -1, 6, 5, -12],\n [4, 10, 0, -2, -3, 0, 8],\n [4, -1, -2, 6, -15, -13, -2],\n [-4, 6, -3, -15, -3, -15, 4],\n [-1, 5, 0, -13, -15, -14, 4],\n [14, -12, 8, -2, 4, 4, 3]]\nRound to the nearest integer, then give your ... | 465 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[11, 12, 6, 16, -11, 15, -2],\n [12, 11, 6, 8, -12, -6, -8],\n [6, 6, -16, 12, -6, 0, -4],\n [16, 8, 12, -16, 14, 10, -2],\n [-11, -12, -6, 14, -12, 7, -2],\n [15, -6, 0, 10, 7, 7, 12],\n [-2, -8, -4, -2, -2, 12, -2]]\nRound to the nearest integer, then take the re... | 832 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, -9, -15, -8, -7, 17, -10],\n [0, 9, 11, -4, -5, 1, -18],\n [0, 0, -18, 18, -14, -11, -7],\n [0, 0, 0, 1, -11, 11, 6],\n [0, 0, 0, 0, -2, -13, -17],\n [0, 0, 0, 0, 0, -11, -16],\n [0, 0, 0, 0, 0, 0, -1]]? Round to the nearest integer, then express your ... | 308 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 10, 10, 8, 0, 16, 8],\n [0, 9, -4, -18, 7, -1, -13],\n [0, 0, 4, -2, -1, 14, 18],\n [0, 0, 0, 1, 7, -13, 3],\n [0, 0, 0, 0, 6, -2, 13],\n [0, 0, 0, 0, 0, -5, -5],\n [0, 0, 0, 0, 0, 0, -12... | 720 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 7, -7, 4, -2, -1, -11],\n [0, -15, -9, -13, -6, 10, -14],\n [0, 0, -4, 15, -7, -1, -16],\n [0, 0, 0, 14, -16, 1, -6],\n [0, 0, 0, 0, 7, 6, 0],\n [0, 0, 0, 0, 0, -12, 13],\n [0, 0, 0, 0, 0... | 200 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, 1, 5, -18, -10, -18, 12],\n [-5, 4, 17, -8, 14, -7, -12],\n [-2, 7, -2, -7, -5, -8, -18],\n [12, -15, 0, -11, -18, 13, 15],\n [6, -16, -2, 8, -3, -18, -3],\n [5, -13, -3, 3, 10, 17, 7],\n [-1, -10, 4, 10, -15, -9, 8]]\nRound to the nearest integer, then take th... | 258 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 7, 18, -13, 5, 14, -5],\n [-15, -2, 14, 17, 15, 13, -9],\n [18, 13, 2, -1, -8, -11, -1],\n [2, -10, 6, 6, -3, 13, -9],\n [5, -18, 6, -12, 3, 2, -10],\n [-7, 1, 1, -18, -9, -6, -15],\n [5,... | 334 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -10, -8, 7, -7, -8, 11],\n [-10, 9, 1, 4, -10, -6, -11],\n [-8, 1, -2, -1, 4, 0, -6],\n [7, 4, -1, 4, -4, -8, 6],\n [-7, -10, 4, -4, -16, 4, 0],\n [-8, -6, 0, -8, 4, -11, 8],\n [11, -11,... | 640 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 18, -18, 4, 7, 12, 15],\n [0, 8, 15, -6, 15, -5, 2],\n [0, 0, -3, -12, 12, -15, 18],\n [0, 0, 0, -10, -4, -16, -16],\n [0, 0, 0, 0, -1, -4, -15],\n [0, 0, 0, 0, 0, 15, -12],\n [0, 0, 0, ... | 800 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 0, -5, 4, 12, 6, 0],\n [0, 13, 6, -4, -2, 10, 8],\n [-5, 6, -16, 6, -1, 12, 9],\n [4, -4, 6, -11, -16, -6, 2],\n [12, -2, -1, -16, -12, 9, 8],\n [6, 10, 12, -6, 9, -18, 7],\n [0, 8,... | 601 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, 14, 7, -16, -15, 12, -5],\n [0, 7, -16, -8, 12, 17, -17],\n [0, 0, 1, 8, 2, 14, -7],\n [0, 0, 0, -4, -17, 18, 15],\n [0, 0, 0, 0, -8, 17, -10],\n [0, 0, 0, 0, 0, 4, 11],\n [0, 0, 0, 0, 0, 0, -7]]\nRound to the nearest integer, then take the result modulo 1000... | 264 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-13, 11, -15, -9, 3, 3, 6],\n [13, -4, 5, -8, -1, -9, -9],\n [3, 0, 14, -4, -17, -2, -10],\n [-17, -4, -14, 4, -4, -18, -17],\n [16, 16, -10, -3, 0, -2, 11],\n [-12, 12, -12, -18, 6, 7, 5],\... | 575 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, 11, 2, 8, -8, 10, 4],\n [11, 1, -6, 8, -3, 8, -2],\n [2, -6, -18, 6, 1, 8, -6],\n [8, 8, 6, 8, -7, 5, -11],\n [-8, -3, 1, -7, 7, 3, 8],\n [10, 8, 8, 5, 3, -15, 0],\n [4, -2, -6, -11, 8,... | 374 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, -2, 3, 2, 2, 13, -2],\n [-2, -13, 3, 18, 2, 0, 4],\n [3, 3, 14, -2, -7, -3, 0],\n [2, 18, -2, 9, 4, 8, 4],\n [2, 2, -7, 4, 17, -6, 4],\n [13, 0, -3, 8, -6, 15, -2],\n [-2, 4, 0, 4, 4, -2, -17]]\nRound to the nearest integer, then take the result modulo 1000.\... | 107 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[8, 0, 6, 11, 6, -6, -10],\n [0, 4, -7, 6, -8, 6, 12],\n [6, -7, -16, -6, -2, -7, 6],\n [11, 6, -6, 9, -6, -2, -11],\n [6, -8, -2, -6, -15, -6, 1],\n [-6, 6, -7, -2, -6, -1, -4],\n [-10, 12, 6, -11, 1, -4, 15]]? Round to the nearest integer, then express yo... | 110 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, 3, -14, -12, 14, 17, -17],\n [-6, -15, 13, 15, -5, 18, 12],\n [2, -9, -9, 15, -14, -9, -9],\n [-17, -5, -12, 3, -16, 17, 2],\n [10, -12, -9, 3, -6, 3, -6],\n [-5, 2, -14, 14, 2, 18... | 708 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[4, 15, -12, 2, 5, 0, -18],\n [0, -6, -15, -8, 7, -17, -12],\n [0, 0, -5, -16, 17, 12, -8],\n [0, 0, 0, -5, -12, -12, 3],\n [0, 0, 0, 0, -4, -13, 10],\n [0, 0, 0, 0, 0, -8, 0],\n [0, 0, 0, 0, 0, 0, -8]]? Round to the nearest integer, then express your answe... | 600 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 12, 1, 15, -12, 3, 13],\n [0, -12, 1, -6, 1, 13, 16],\n [0, 0, -15, 8, 10, -1, 18],\n [0, 0, 0, -6, 10, -15, -16],\n [0, 0, 0, 0, -12, 2, 15],\n [0, 0, 0, 0, 0, 3, 5],\n [0, 0, 0, 0... | 880 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, -2, -1, 8, 3, 7, -17],\n [12, 17, -15, 10, -14, 9, -1],\n [-4, -5, 14, 14, 10, 16, 11],\n [15, 11, -13, 5, -3, 15, -3],\n [-11, 4, -5, -13, 2, -17, 15],\n [-7, 3, 15, -5, 13, 3, -... | 816 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, -16, -7, -18, 12, -9, 10],\n [12, 0, -2, 13, 12, -14, -11],\n [8, -16, 6, 10, 3, 1, 0],\n [-12, 16, 1, 18, 15, 14, -8],\n [16, 17, 6, 4, 2, -15, -5],\n [12, 16, -13, 14, 15, 10, -16],\n [6, 3, -2, -11, 1, 3, 8]]\nRound to the nearest integer, then giv... | 364 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[2, 4, -8, 11, -2, 2, 4],\n [4, -7, 2, -4, -8, 4, 6],\n [-8, 2, -3, 4, 6, 5, -4],\n [11, -4, 4, -11, 5, -2, 17],\n [-2, -8, 6, 5, 18, -5, -4],\n [2, 4, 5, -2, -5, 9, 8],\n [4, 6, -4, 17, -4, 8, 18]]\nRound to the nearest integer, then give your answer as d... | 788 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 5, 17, -11, -5, 12, -2],\n [0, 11, 15, 4, -14, -12, -13],\n [0, 0, -14, -5, -2, 14, 16],\n [0, 0, 0, -1, -18, 12, 3],\n [0, 0, 0, 0, 2, -10, -2],\n [0, 0, 0, 0, 0, 5, -8],\n [0, 0, ... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 4, -8, 4, 10, 4, -5],\n [4, 5, -2, 7, -2, -12, -11],\n [-8, -2, -5, -8, 1, -3, -13],\n [4, 7, -8, -16, -2, -8, 8],\n [10, -2, 1, -2, 11, 6, 0],\n [4, -12, -3, -8, 6, -3, -6],\n [-5, -11, -13, 8, 0, -6, 18]]\nRound to the nearest integer, then give yo... | 891 | MATH |
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