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[[1, -11, -12, -16, -2, 14, -7],\n [0, 3, 11, -11, 8, 8, 15],\n [0, 0, 14, 9, 14, -14, 0],\n [0, 0, 0, 9, 11, 10, -13],\n [0, 0, 0, 0, 12, 16, 14],\n [0, 0, 0, 0, 0, -1, 6],\n [0, 0, 0, 0, 0, ... | 112 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -4, 11, 7, -9, 10, -3],\n [17, 1, 18, 3, -12, 4, 10],\n [-3, 9, 12, -5, 14, -10, 8],\n [5, -6, 7, 10, 9, 9, -11],\n [4, 10, -14, -12, 17, 8, -17],\n [6, -10, 8, -18, 4, -9, 6],\n [-16, -13, -13, -17, -1, 4, -17]]\nRound to the nearest integer, then take the r... | 528 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-16, -8, 11, -15, -14, -18, 8],\n [9, 10, -1, -7, -6, -17, 18],\n [-3, 5, 16, 3, 17, -8, 10],\n [16, -4, 12, -3, -9, 13, -17],\n [5, 4, -17, 12, 7, 10, -16],\n [-5, 6, -18, -16, 7, -1,... | 721 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, -17, -2, 13, -11, -16, -7],\n [1, -3, -5, -3, 14, 11, -7],\n [-4, -1, 9, 4, -5, 11, 14],\n [-4, -12, -4, -8, 10, 12, 6],\n [5, 0, -17, 3, 1, 14, -11],\n [6, -10, 15, 4, -14, 6, -11],\n [... | 744 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, -11, -4, -15, 15, -14, 14],\n [0, 15, 7, -18, -15, 7, 14],\n [0, 0, 1, -3, 2, 7, 4],\n [0, 0, 0, -18, -10, -16, 7],\n [0, 0, 0, 0, -16, 15, 14],\n [0, 0, 0, 0, 0, 2, 0],\n [0, 0, 0, 0, 0, 0, 1]]\nRound to the nearest integer, then give your answer as d... | 760 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -9, 18, 7, -2, -18, 6],\n [15, -9, 1, -12, -3, 18, 10],\n [-7, -2, 1, 7, 0, -7, 2],\n [15, -12, 16, -4, -18, 7, 16],\n [6, -4, 3, -13, -4, 5, 2],\n [-12, 10, 13, 13, -14, -15, 3],\n [-1, 16, -2, 5, -17, -6, -4]]\nRound to the nearest integer, then giv... | 737 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, -4, 11, -14, -2, -3, -5],\n [-4, -7, 9, 0, 8, 11, 1],\n [11, 9, 15, 4, 6, 3, 8],\n [-14, 0, 4, -17, -16, -9, -2],\n [-2, 8, 6, -16, -14, 12, 1],\n [-3, 11, 3, -9, 12, 14, 6],\n [-5, 1, 8... | 856 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, 1, 13, -15, -14, -11, 3],\n [-12, 3, 11, 18, -3, -4, -14],\n [-16, 4, -9, -14, 4, -4, -1],\n [6, -11, 12, 2, -17, 3, -11],\n [4, 13, -11, -15, 11, 0, 4],\n [-1, 10, 4, 14, -1, 14, -12],\n... | 673 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -15, 14, -5, 0, -14, 17],\n [12, -1, 12, 11, 2, 11, -15],\n [-14, -9, 8, -3, 11, -6, 17],\n [2, -4, 1, 1, -14, 13, -13],\n [11, 7, 18, -6, 10, -14, 6],\n [-6, 5, 12, 1, -11, -10, 2]... | 64 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 3, 9, -10, 15, 17, -10],\n [0, 1, -11, 9, 0, -3, -8],\n [0, 0, -9, -1, 16, -16, 8],\n [0, 0, 0, -12, -9, -4, 12],\n [0, 0, 0, 0, 7, -7, 6],\n [0, 0, 0, 0, 0, 7, -2],\n [0, 0, 0, 0, 0, 0, 4]]\nRound to the nearest integer, then give your answer as det(... | 328 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[12, 4, -12, 14, -7, -7, 0],\n [-10, -9, -2, -9, -7, -4, 12],\n [-4, 9, -15, 17, -18, 15, -2],\n [14, 2, 7, 17, -14, 14, -18],\n [-13, 18, -17, -14, 7, -6, -7],\n [-14, -17, -15, 8, -9, -6, -17],\n [7, -4, -9, 3, 6, -4, -6]]\nRound to the nearest integer, ... | 709 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[14, 1, 14, 16, 15, 17, 8],\n [0, -14, 10, -9, -6, 10, -14],\n [-7, -6, 3, -4, -6, -18, -18],\n [-8, 3, 16, -13, 9, 12, -11],\n [-14, -2, -10, -9, 1, -5, -5],\n [7, 10, 8, 6, -3, 17, 15],\n [-3, 14, -16, 4, -8, -1, 10]]\nRound to the nearest integer, then ... | 387 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -12, -4, -6, 4, 10, 5],\n [-12, -9, -2, 8, -3, 10, -5],\n [-4, -2, -2, -2, 2, -8, -2],\n [-6, 8, -2, 8, 16, 9, 10],\n [4, -3, 2, 16, -14, 7, 14],\n [10, 10, -8, 9, 7, 7, 4],\n [5, ... | 224 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[11, 6, -14, -14, 10, -16, -1],\n [6, 18, -2, 1, 0, 8, -6],\n [-14, -2, -16, -13, 2, -2, 2],\n [-14, 1, -13, -15, 6, 0, -4],\n [10, 0, 2, 6, 8, -4, -1],\n [-16, 8, -2, 0, -4, -12, -1],\n [-1, -6, 2, -4, -1, -1, 1]]\nRound to the nearest integer, then give ... | 808 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 2, 1, 4, -8, 3, -2],\n [2, 6, 2, -8, 0, 8, -4],\n [1, 2, 2, 8, -10, -12, -5],\n [4, -8, 8, -11, -4, -16, -10],\n [-8, 0, -10, -4, -4, -8, -4],\n [3, 8, -12, -16, -8, -15, 0],\n [-2, -4, -... | 768 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-7, 1, -1, -7, 6, -8, 3],\n [15, -6, -7, 17, 9, 8, -6],\n [8, 12, -17, -1, 7, 12, 3],\n [17, 0, -5, -5, 10, -2, 18],\n [-10, -18, -15, -12, -8, -5, 0],\n [-16, -11, 10, 18, -10, 0, -7],\n [8, 18, 6, -2, 14, -5, 9]]? Round to the nearest integer, then expre... | 392 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -8, 13, -1, -4, -6, 3],\n [-8, 2, 10, 11, 1, 2, -1],\n [13, 10, 5, -12, -6, -15, 2],\n [-1, 11, -12, -2, -8, 0, 0],\n [-4, 1, -6, -8, -10, -14, 11],\n [-6, 2, -15, 0, -14, -3, 0],\n [3, -1, 2, 0, 11, 0, -4]]\nRound to the nearest integer, then take the result... | 527 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -13, -3, 16, 1, -8, 13],\n [-5, 5, 12, -2, 6, -10, 3],\n [16, 18, -2, 9, -18, -10, -6],\n [13, 9, 12, -11, -11, 15, 4],\n [-9, 18, 6, 14, -15, -12, 14],\n [-17, 13, -14, -2, -7, -7,... | 226 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 1, -12, 14, -11, -1, 10],\n [1, 17, -12, 10, -4, 8, -16],\n [-12, -12, 16, -2, 4, 5, 3],\n [14, 10, -2, 13, -6, 0, 4],\n [-11, -4, 4, -6, 0, -4, 0],\n [-1, 8, 5, 0, -4, 15, -2],\n [10, -1... | 110 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[2, -1, -5, -3, 5, 13, -8],\n [-8, -15, 7, -14, 17, 14, -5],\n [13, -12, -9, -17, -9, 16, 2],\n [-11, -1, -10, 11, -15, 16, -5],\n [-5, 18, 1, 10, 4, 2, 12],\n [13, -12, -6, 4, -11, -7, 17],\n [-3, 7, 10, 10, -13, 18, 14]]? Round to the nearest integer, the... | 167 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, -15, -3, -9, 18, 8, -18],\n [-14, -6, -16, -2, 0, 18, -14],\n [5, 14, 2, -16, -15, 13, 5],\n [16, -1, -16, 7, 5, -18, 15],\n [-7, -2, 2, 2, -16, 9, 6],\n [-13, 11, 13, 3, -5, 15, 7],\n [-6, 11, 0, -16, 12, -7, -4]]\nRound to the nearest integer, then take the ... | 118 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-16, -4, -10, 10, 10, 0, 2],\n [-4, -5, -8, 2, 12, -10, 6],\n [-10, -8, -17, -13, 2, 6, -10],\n [10, 2, -13, 3, -14, -2, -1],\n [10, 12, 2, -14, 4, 4, 0],\n [0, -10, 6, -2, 4, 5, 1],\n [2, 6, -10, -1, 0, 1, 7]]\nRound to the nearest integer, then give you... | 380 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 8, 14, 4, 10, 2, -5],\n [8, 0, 2, -6, -6, -3, -12],\n [14, 2, -9, -2, -1, 12, 4],\n [4, -6, -2, -7, 10, 3, -4],\n [10, -6, -1, 10, -10, -12, -6],\n [2, -3, 12, 3, -12, 16, -10],\n [-5, -... | 928 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[17, -17, -9, -5, 8, -4, 2],\n [0, 14, 3, -1, -17, 10, -12],\n [0, 0, -10, -11, 14, -14, -5],\n [0, 0, 0, 4, 8, -4, 11],\n [0, 0, 0, 0, -11, 10, -7],\n [0, 0, 0, 0, 0, 9, 7],\n [0, 0, 0, 0, 0, 0, 8]]? Round to the nearest integer, then express your answer m... | 840 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, -6, 11, -18, -7, -12, -5],\n [0, 9, -7, 5, -18, -2, 9],\n [0, 0, -13, 2, -15, 14, -9],\n [0, 0, 0, -10, 12, -15, 1],\n [0, 0, 0, 0, 5, 18, 11],\n [0, 0, 0, 0, 0, 5, 9],\n [0, 0, 0, 0, 0... | 250 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, -2, 2, 3, 1, 4, -1],\n [-2, -18, -11, 6, -8, -11, -2],\n [2, -11, -5, -12, -2, 2, 5],\n [3, 6, -12, 15, 0, 1, -8],\n [1, -8, -2, 0, 0, -4, 0],\n [4, -11, 2, 1, -4, 4, 5],\n [-1, -2, 5, -... | 348 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[5, 18, 0, -14, 11, 6, 11],\n [0, -10, 8, 5, -4, 7, 11],\n [0, 0, -4, -10, 10, -4, -2],\n [0, 0, 0, 6, 11, -17, -18],\n [0, 0, 0, 0, 8, 11, -4],\n [0, 0, 0, 0, 0, 6, -10],\n [0, 0, 0, 0, 0, 0, -14]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 600 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 18, 4, 7, -7, -18, 15],\n [0, 4, -12, -12, -18, -1, -11],\n [0, 0, 4, 10, -18, -4, -4],\n [0, 0, 0, -6, 2, -10, 1],\n [0, 0, 0, 0, 16, 2, 3],\n [0, 0, 0, 0, 0, 8, -2],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as d... | 560 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 6, -8, 3, 12, -13, -2],\n [6, 11, 0, 10, 4, -6, 9],\n [-8, 0, 11, -16, 3, 6, -3],\n [3, 10, -16, 2, 0, -12, 2],\n [12, 4, 3, 0, -15, -4, -3],\n [-13, -6, 6, -12, -4, 4, -4],\n [-2, 9, -3, 2, -3, -4, 14]]\nRound to the nearest integer, then give your a... | 736 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 1, -18, -16, -11, 12, -11],\n [-4, 3, 13, -14, -10, -4, 18],\n [14, 3, -8, -13, -2, -14, -10],\n [10, 4, 17, 12, 1, 4, -12],\n [17, -15, 5, -5, 6, -12, -4],\n [-6, 0, -7, 7, 14, -4, 18],... | 664 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -16, 16, 8, 15, 9, 12],\n [-2, 0, -8, -10, 11, -13, -5],\n [12, -8, -14, 12, -17, -2, 17],\n [-16, 10, 14, -5, 10, 4, -2],\n [-8, 9, -12, -11, 10, 6, -12],\n [3, -10, -8, 15, 8, 3... | 940 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 12, 1, 4, -4, -3, -1],\n [12, -3, 15, 2, 3, 3, -4],\n [1, 15, -15, 6, 1, 3, 10],\n [4, 2, 6, -8, 10, -5, 9],\n [-4, 3, 1, 10, 3, -14, 2],\n [-3, 3, 3, -5, -14, -12, 6],\n [-1, -4, 10, 9, ... | 645 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 9, 13, 5, -12, -1, -16],\n [1, 15, 11, -10, -9, -13, -2],\n [-4, 14, -6, 3, -3, 15, -16],\n [-11, 1, 5, -1, 4, -18, -17],\n [-14, -1, -3, -9, 10, 16, 6],\n [5, -6, 2, 15, 0, 9, 8],\n [7,... | 210 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-6, -17, -6, -4, 10, 2, 0],\n [-17, 11, -16, 2, 4, -4, -10],\n [-6, -16, 8, 6, 2, -15, 5],\n [-4, 2, 6, 14, -4, -3, 3],\n [10, 4, 2, -4, 7, 0, 2],\n [2, -4, -15, -3, 0, -11, 2],\n [0, -10, 5, 3, 2, 2, -3]]\nRound to the nearest integer, then take the result modulo... | 596 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 2, 6, 1, 2, -4, -8],\n [2, -4, -2, -8, 8, -4, 14],\n [6, -2, 1, 0, -8, -2, 4],\n [1, -8, 0, 3, 2, 2, -2],\n [2, 8, -8, 2, 12, -8, 0],\n [-4, -4, -2, 2, -8, 3, -4],\n [-8, 14, 4, -2, 0, -4, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n... | 112 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, -5, 14, 6, 0, -10, 18],\n [17, 17, -4, -14, -2, 11, -12],\n [-13, -4, -9, -13, -6, -5, -18],\n [14, 0, -10, 18, -7, -14, -13],\n [-8, -9, -4, 9, -16, -3, -2],\n [17, 0, -15, 6, 8, -7, 8],\n [-15, 5, -2, 7, -1, 3, -13]]\nRound to the nearest integer, then take t... | 348 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 4, 1, 10, 0, -4, -1],\n [4, -7, 2, 16, 14, 9, 14],\n [1, 2, 1, -6, -8, -6, -7],\n [10, 16, -6, 16, 2, 1, -6],\n [0, 14, -8, 2, 14, 0, 0],\n [-4, 9, -6, 1, 0, -7, -8],\n [-1, 14, -7... | 460 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[12, -12, 9, -17, -18, 18, 5],\n [0, -12, 10, -18, 11, 13, -9],\n [0, 0, 18, 8, -9, 3, 5],\n [0, 0, 0, -14, -13, 13, 1],\n [0, 0, 0, 0, -18, 16, 0],\n [0, 0, 0, 0, 0, -12, -14],\n [0, 0, 0, 0, 0, 0, -12]]\nRound to the nearest integer, then take the result modulo 1... | 504 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, -17, 4, 10, 0, 1, -7],\n [0, 16, -12, 4, -2, -17, -14],\n [0, 0, -8, 5, 14, 8, 16],\n [0, 0, 0, 13, -8, -16, 2],\n [0, 0, 0, 0, 9, 17, 9],\n [0, 0, 0, 0, 0, -7, 5],\n [0, 0, 0, 0, 0, 0, ... | 584 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -11, 0, -1, -2, -1, 0],\n [0, -8, -12, 8, 18, -14, -11],\n [0, 0, 7, -4, -3, 10, 9],\n [0, 0, 0, 14, -1, -7, -9],\n [0, 0, 0, 0, 7, -4, 2],\n [0, 0, 0, 0, 0, 7, 7],\n [0, 0, 0, 0,... | 976 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, -4, 4, 17, 12, -11, 11],\n [0, 14, -18, -3, -8, 8, 3],\n [0, 0, 1, -16, -18, 4, -16],\n [0, 0, 0, 4, -8, -4, 7],\n [0, 0, 0, 0, -2, 4, -17],\n [0, 0, 0, 0, 0, -7, -8],\n [0, 0, 0,... | 120 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-3, -6, -18, 9, -18, 15, -6],\n [-17, -15, 6, 15, -6, 17, 13],\n [2, 7, -4, 10, 7, 2, -7],\n [-7, -14, 7, 13, -17, -11, 8],\n [18, -11, 5, -6, 10, -6, 4],\n [-4, 5, 4, -9, -14, -14, 12],\n [-18, -17, 10, -12, 10, -10, 17]]? Round to the nearest integer, th... | 240 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -10, 4, -1, 0, 2, 15],\n [-10, -5, 9, -17, -8, 5, -5],\n [4, 9, 17, -7, -8, 2, -2],\n [-1, -17, -7, 10, 10, -3, 9],\n [0, -8, -8, 10, -16, 11, -8],\n [2, 5, 2, -3, 11, -10, -5],\n [15, -5, -2, 9, -8, -5, -14]]\nRound to the nearest integer, then take the resul... | 508 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 16, 5, 4, 14, 10, -9],\n [0, -9, 7, 10, 15, -1, -17],\n [0, 0, 12, 3, -10, 8, 6],\n [0, 0, 0, 11, -15, 2, 11],\n [0, 0, 0, 0, 12, -15, 1],\n [0, 0, 0, 0, 0, -15, -1],\n [0, 0, 0, 0, 0, 0, 13]]\nRound to the nearest integer, then give your answer as de... | 80 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, 4, 6, -12, -11, -16, 4],\n [14, 9, 3, 16, 15, 11, 17],\n [-5, -10, 3, 9, -5, -4, 18],\n [5, 15, -16, 4, 1, -4, -3],\n [-12, 14, 0, -1, -1, -16, -16],\n [17, -3, 4, 4, -4, -10, -1],\n [-13, 18, -13, 2, 11, 9, 1]]\nRound to the nearest integer, then take the resu... | 440 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[13, -17, 6, 14, -8, 0, 6],\n [9, -9, 12, -3, -1, 3, 16],\n [-7, 9, -10, 11, -1, 5, 0],\n [-5, -17, -8, 7, -11, -16, -4],\n [-6, -3, 3, 14, -17, 10, 15],\n [-3, -5, -14, -1, 7, -9, -13]... | 800 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[4, -7, 5, 12, 17, -18, 7],\n [-2, 17, -2, 18, 8, 6, 11],\n [6, 13, -7, 2, 15, -18, -6],\n [2, -18, -6, 12, 4, -16, -8],\n [10, -1, 6, 15, -1, -18, 9],\n [-15, 2, -13, 2, 18, 11, 1],\n [13, 12, 17, 6, -14, -11, -2]]\nRound to the nearest integer, then take the resu... | 96 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[14, -7, -7, 0, 14, 0, 14],\n [-7, 15, -8, 4, -7, 4, 10],\n [-7, -8, -17, -9, 2, 0, -8],\n [0, 4, -9, -18, -11, 6, -14],\n [14, -7, 2, -11, 13, -9, 2],\n [0, 4, 0, 6, -9, 14, -8],\n [14, 10, -8, -14, 2, -8, -10]]\nRound to the nearest integer, then take the result ... | 326 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 17, -7, -7, -1, 17, 0],\n [16, 8, -16, -6, 0, 16, -4],\n [-3, 16, -14, -12, 2, -18, 6],\n [11, 0, 5, -4, 16, 5, 17],\n [-5, 3, -11, -3, -2, -14, 16],\n [18, -1, 2, -18, -2, -11, 10]... | 422 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 18, -17, -4, 9, 6, 7],\n [0, 11, -10, -18, -7, -6, -5],\n [0, 0, -2, 12, 7, 16, 17],\n [0, 0, 0, -1, -8, -8, -10],\n [0, 0, 0, 0, -5, 6, -3],\n [0, 0, 0, 0, 0, 3, -14],\n [0, 0, 0, 0, 0, 0, -13]]\nRound to the nearest integer, then take the result modulo 1000.\... | 580 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 10, 3, -16, 11, 5, -2],\n [1, 7, -14, -6, -15, -2, 16],\n [12, -3, 15, 13, 14, -11, 11],\n [-16, -2, 5, -3, 1, -9, 5],\n [-12, 1, -6, 10, -9, -10, -12],\n [14, 5, -3, 13, -15, -5, 10],\n [3, 4, 7, 7, 3, -16, -2]]? Round to the nearest integer, then ex... | 20 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[7, 8, 8, 3, -2, 4, 16],\n [8, -1, -4, -2, 5, 0, 18],\n [8, -4, 12, -4, -4, -4, -16],\n [3, -2, -4, -14, 0, 12, -2],\n [-2, 5, -4, 0, 11, 0, -9],\n [4, 0, -4, 12, 0, -12, -8],\n [16, 18, -16, -2, -9, -8, 5]]? Round to the nearest integer, then express your ... | 968 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[0, 17, 3, 11, -15, -6, 1],\n [-13, -7, -3, -2, -11, 14, -7],\n [7, 0, -6, -9, 15, 12, 8],\n [-16, -14, -14, 18, -12, -6, 15],\n [17, 15, -16, -9, 16, 18, -13],\n [2, -14, -16, 1, 11, -7, 16],\n [13, 0, -4, -9, 7, -13, 7]]\nRound to the nearest integer, then take t... | 843 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -8, 9, 3, 8, -2, -11],\n [-11, 4, 13, -4, 8, -15, 13],\n [18, -9, 9, 13, 13, -4, -13],\n [-10, 11, -3, 6, -9, 11, -10],\n [-12, -7, -2, 6, -12, 0, -2],\n [13, 4, 13, 7, -11, 3, -11... | 712 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[16, 13, 3, 3, 7, 17, 10],\n [0, 12, 3, -11, 2, -4, -15],\n [0, 0, -17, -11, -15, -6, -5],\n [0, 0, 0, 9, -6, 2, 7],\n [0, 0, 0, 0, 3, -6, 18],\n [0, 0, 0, 0, 0, 11, 15],\n [0, 0, 0, 0, 0, 0, -18]]\nRound to the nearest integer, then give your answer as de... | 344 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[2, 13, 13, -7, -10, 1, -4],\n [0, -11, 2, 6, 16, 11, 12],\n [0, 0, -11, -11, -7, -16, -3],\n [0, 0, 0, -7, -16, 16, -16],\n [0, 0, 0, 0, -3, 14, -9],\n [0, 0, 0, 0, 0, -4, 13],\n [0, 0, 0, 0, 0, 0, -5]]\nRound to the nearest integer, then take the result modulo 10... | 640 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-11, 2, -12, -14, 13, -3, 7],\n [0, 9, 14, -17, -4, -12, 1],\n [0, 0, 10, -15, 0, -9, 17],\n [0, 0, 0, 16, -2, -13, -5],\n [0, 0, 0, 0, 14, -16, 3],\n [0, 0, 0, 0, 0, 5, 7],\n [0, 0, 0, 0, 0, 0, -1]]\nRound to the nearest integer, then give your answer as... | 800 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-8, 4, -6, -2, -5, -4, -4],\n [4, 11, -1, 10, 12, 3, -8],\n [-6, -1, 12, -4, 10, 0, -2],\n [-2, 10, -4, 3, 0, -3, 0],\n [-5, 12, 10, 0, 14, 0, -2],\n [-4, 3, 0, -3, 0, 12, 5],\n [-4, -8, -2, 0, -2, 5, 16]]\nRound to the nearest integer, then give your ans... | 181 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -8, 2, 10, 4, 2, -6],\n [-8, -10, 5, -6, -2, 12, 0],\n [2, 5, -12, -3, -1, 15, 0],\n [10, -6, -3, 12, 5, -7, 6],\n [4, -2, -1, 5, -3, 14, 6],\n [2, 12, 15, -7, 14, -12, -3],\n [-6, 0, 0, 6, 6, -3, 8]]\nRound to the nearest integer, then take the result modulo... | 180 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -1, 11, -9, 0, -10, 2],\n [-18, 7, -5, 10, -12, 5, 8],\n [-17, -17, -3, -7, 7, -9, -4],\n [6, -15, 7, 4, 18, -15, -18],\n [-18, -16, -4, -1, 2, -11, 6],\n [13, -13, 1, 10, -14, 16,... | 264 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[11, -9, 2, 5, 15, 9, 18],\n [0, 10, -2, 5, -2, 18, -13],\n [0, 0, 1, -17, -1, 3, 18],\n [0, 0, 0, -2, -5, -9, 7],\n [0, 0, 0, 0, 17, -6, 8],\n [0, 0, 0, 0, 0, 6, -1],\n [0, 0, 0, 0, 0, 0, 8]]? Round to the nearest integer, then express your answer modulo 1... | 480 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, -10, -12, 18, 4, -11, 4],\n [1, -8, -18, -14, -5, -12, 5],\n [-15, 8, -12, 5, -10, -18, 15],\n [12, 4, -16, 1, 7, 15, 13],\n [14, -14, -9, 17, 11, -10, 13],\n [2, 7, 4, -10, -14, -11, -8... | 983 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 3, 13, -2, 7, -3, -9],\n [-2, -17, -17, 10, -15, 11, -7],\n [15, -5, 5, 5, -1, 6, 6],\n [6, 9, 11, 6, 5, -6, -17],\n [15, -3, 5, -17, 10, -2, 4],\n [-7, -6, -14, -4, -17, -13, 17],\... | 276 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-17, -9, -4, -7, -16, -15, -10],\n [0, 12, 18, -8, 8, -13, 11],\n [0, 0, -13, -6, -7, -12, -5],\n [0, 0, 0, 2, 0, 8, -17],\n [0, 0, 0, 0, 2, 11, 3],\n [0, 0, 0, 0, 0, -12, -17],\n [0, ... | 592 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-14, 0, -2, -1, -17, -12, -3],\n [0, -1, 7, 10, -3, 11, 6],\n [0, 0, 3, -5, 8, 16, -7],\n [0, 0, 0, -10, 0, 4, -3],\n [0, 0, 0, 0, 7, 8, -3],\n [0, 0, 0, 0, 0, 12, 8],\n [0, 0, 0, 0, 0, 0, 4]]? Round to the nearest integer, then express your answer modulo ... | 880 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 18, 18, 2, -8, 2, 18],\n [0, 7, 1, -12, 8, -2, 13],\n [0, 0, -1, -17, 16, -13, -16],\n [0, 0, 0, -17, -17, -11, -10],\n [0, 0, 0, 0, 3, 4, -6],\n [0, 0, 0, 0, 0, 10, -7],\n [0, 0, 0, 0, ... | 20 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-11, 5, -2, 0, 0, 0, 0],\n [5, 10, 10, 8, 0, 0, 14],\n [-2, 10, -10, 12, 16, -2, -4],\n [0, 8, 12, 12, 11, 4, -2],\n [0, 0, 16, 11, -7, 12, 14],\n [0, 0, -2, 4, 12, -3, -7],\n [0, 14, -4, -2, 14, -7, 8]]? Round to the nearest integer, then express your ans... | 962 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-5, 13, 14, -13, 11, -13, 12],\n [0, 7, 13, -14, -3, -7, -4],\n [0, 0, 2, 6, -2, -11, 11],\n [0, 0, 0, 9, 7, -18, 16],\n [0, 0, 0, 0, -7, -13, 5],\n [0, 0, 0, 0, 0, -3, 4],\n [0, 0, 0, 0, 0, 0, 5]]? Round to the nearest integer, then express your answer mo... | 850 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-8, 2, 7, -4, 5, -1, -11],\n [0, 9, 10, -17, -1, -18, -17],\n [0, 0, 2, 1, 15, 15, -15],\n [0, 0, 0, -3, 12, -12, -14],\n [0, 0, 0, 0, -18, -16, 7],\n [0, 0, 0, 0, 0, -1, 5],\n [0, 0, 0, 0, 0, 0, 17]]\nRound to the nearest integer, then take the result modulo 1000... | 192 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 9, 11, 6, -1, 7, 0],\n [0, 17, -15, 7, -16, 17, -12],\n [0, 0, -12, 3, 11, 3, 10],\n [0, 0, 0, 18, -6, 14, -11],\n [0, 0, 0, 0, -1, 13, 5],\n [0, 0, 0, 0, 0, -10, -3],\n [0, 0, 0, 0, 0,... | 400 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 5, -18, 18, 9, -15, -15],\n [0, -8, 4, -7, -15, -18, -9],\n [0, 0, 4, 15, -7, -7, -3],\n [0, 0, 0, -8, 11, -9, 4],\n [0, 0, 0, 0, -3, -7, -17],\n [0, 0, 0, 0, 0, 11, -2],\n [0, 0, 0, 0, ... | 936 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[-3, 4, -12, 3, 10, 1, 18],\n [0, 12, 8, 18, -10, 6, 14],\n [0, 0, 8, 0, -3, -5, -15],\n [0, 0, 0, 2, 11, 8, 15],\n [0, 0, 0, 0, -7, 14, 5],\n [0, 0, 0, 0, 0, -4, -4],\n [0, 0, 0, 0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as det(A) ... | 744 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, -6, 1, -5, -2, 9, 6],\n [-6, 15, 16, -4, -10, 0, 2],\n [1, 16, 3, 3, -5, 4, 10],\n [-5, -4, 3, -18, 10, -4, -1],\n [-2, -10, -5, 10, -8, 7, 12],\n [9, 0, 4, -4, 7, -16, -10],\n [6, 2, 10, -1, 12, -10, -11]]\nRound to the nearest integer, then take the result m... | 789 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[16, 9, -10, -8, 8, 13, 2],\n [-7, -12, 3, 13, -16, -7, -6],\n [3, 9, -14, 11, 13, 1, 1],\n [-10, -12, -12, 7, 14, 12, -5],\n [16, 11, 16, 0, -10, -1, -18],\n [-2, 3, -7, -1, -17, 5, -15],\n [4, -15, 2, 8, -8, 5, 8]]\nRound to the nearest integer, then take the res... | 352 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, 12, -12, 3, 12, -2, -4],\n [12, -9, -12, -8, -14, 4, -2],\n [-12, -12, 11, 0, -17, -12, -7],\n [3, -8, 0, -11, -4, 5, -6],\n [12, -14, -17, -4, -1, 10, -3],\n [-2, 4, -12, 5, 10, -... | 380 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 16, 2, 4, -2, -4, 13],\n [16, -18, -6, 0, 0, 8, 12],\n [2, -6, -17, 7, 5, -4, -14],\n [4, 0, 7, 18, -2, -9, -4],\n [-2, 0, 5, -2, -8, 4, 3],\n [-4, 8, -4, -9, 4, 12, -10],\n [13, 12, -14,... | 946 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -1, -3, 12, -2, 10, -2],\n [0, -9, -4, 12, -11, -17, -4],\n [0, 0, -13, -16, -3, -17, -9],\n [0, 0, 0, -17, -10, 0, 11],\n [0, 0, 0, 0, -3, 10, -12],\n [0, 0, 0, 0, 0, -9, -12],\n [0, 0, 0, 0, 0, 0, 15]]\nRound to the nearest integer, then take the result mod... | 995 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 6, -1, -8, 18, 12, 12],\n [0, 3, -2, 4, 9, -12, 15],\n [0, 0, 3, -18, 15, 18, -8],\n [0, 0, 0, -2, -6, -12, -4],\n [0, 0, 0, 0, 17, -5, -15],\n [0, 0, 0, 0, 0, -18, 8],\n [0, 0, 0, ... | 888 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 1, 8, 14, 12, -3, -12],\n [0, -15, -16, 11, 0, 8, 10],\n [0, 0, 2, 14, 6, -8, 16],\n [0, 0, 0, 6, -11, 13, 1],\n [0, 0, 0, 0, 11, 18, 4],\n [0, 0, 0, 0, 0, -9, 1],\n [0, 0, 0, 0, 0, 0, -1... | 160 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -1, 11, -16, -17, -16, -4],\n [0, 15, -2, -16, -12, 12, -9],\n [0, 0, 1, -18, -6, -11, 5],\n [0, 0, 0, 7, -16, 11, -9],\n [0, 0, 0, 0, 15, -13, 14],\n [0, 0, 0, 0, 0, 6, -16],\n [0, 0, 0, 0, 0, 0, 11]]\nRound to the nearest integer, then take the result modul... | 500 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[3, -16, -15, -2, 16, 4, 10],\n [0, -13, 5, -17, -7, -14, -4],\n [0, 0, 3, 10, -12, 3, -15],\n [0, 0, 0, 7, 3, -14, -9],\n [0, 0, 0, 0, 2, 6, 3],\n [0, 0, 0, 0, 0, -6, -5],\n [0, 0, 0, 0, 0, 0, -14]]\nRound to the nearest integer, then give your answer as ... | 408 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[6, 6, 14, -4, 1, -7, -5],\n [0, 5, -7, 1, 9, -8, 3],\n [0, 0, -6, 6, -3, 11, -18],\n [0, 0, 0, -17, 18, -17, 14],\n [0, 0, 0, 0, 17, 5, -18],\n [0, 0, 0, 0, 0, -6, -8],\n [0, 0, 0, 0, ... | 920 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[9, 5, 9, -12, 7, -18, 16],\n [-1, 3, -6, -3, 10, 2, -10],\n [10, -7, -11, -9, 15, 1, -3],\n [-8, -5, 12, 15, -15, -12, -18],\n [5, 9, 5, -6, -9, 7, -17],\n [14, 9, 8, -13, -2, 14, -4],\n [-16, -9, 10, -12, 17, 3, 12]]\nRound to the nearest integer, then take the r... | 235 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[8, -3, -16, 3, 13, 6, -1],\n [0, 11, 16, 8, -1, -6, 12],\n [-16, 12, 5, 18, 3, 14, -4],\n [-5, -4, 10, 7, 3, -15, 14],\n [-14, 9, 16, 13, 10, 5, 11],\n [-10, -1, -8, 3, 18, 4, 10],\n [-6, 13, -9, -13, 2, 16, -16]]\nRound to the nearest integer, then give ... | 99 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -12, -15, 0, 6, 6, 0],\n [0, 11, -4, 10, 16, 14, 4],\n [0, 0, 11, -3, 14, 8, -9],\n [0, 0, 0, -4, -4, -2, 1],\n [0, 0, 0, 0, 7, 6, -2],\n [0, 0, 0, 0, 0, 9, 11],\n [0, 0, 0, 0, 0, 0, 12]... | 520 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[15, -5, 10, 10, 2, -17, -9],\n [0, 8, 13, 4, 17, 2, 3],\n [0, 0, -6, 15, 6, -17, 2],\n [0, 0, 0, -5, 14, -12, 1],\n [0, 0, 0, 0, 11, 4, 9],\n [0, 0, 0, 0, 0, -2, 5],\n [0, 0, 0, 0, 0, 0, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPres... | 600 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -4, 10, 0, 7, 8, -2],\n [-4, -17, 2, 8, 2, -11, -7],\n [10, 2, -5, 4, 14, 3, 4],\n [0, 8, 4, 6, 8, 12, -4],\n [7, 2, 14, 8, -17, -5, -4],\n [8, -11, 3, 12, -5, 16, -6],\n [-2, -7, 4, -4,... | 540 | MATH |
[
{
"content": "Compute |A| for the matrix A =\n[[-14, 18, 0, 6, -7, -10, -18],\n [10, 0, -4, 17, -1, 3, 3],\n [11, -12, -13, -6, -5, -17, -3],\n [14, -18, 11, -8, -5, 18, 18],\n [16, -5, 3, 12, -1, -9, 5],\n [5, 13, 18, 15, -9, -5, 4],\n [13, -7, 5, 15, 1, 10, -3]]\nRound to the nearest integer, then take the re... | 551 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 6, 8, -2, -8, 5, 7],\n [6, -1, -6, 6, 9, -3, -4],\n [8, -6, 18, 18, 6, -11, 2],\n [-2, 6, 18, 13, -13, -2, 2],\n [-8, 9, 6, -13, -3, 2, -8],\n [5, -3, -11, -2, 2, 3, -8],\n [7, -4,... | 88 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, -17, 16, 14, -5, -10, -12],\n [4, -12, -18, 1, 16, -11, 12],\n [0, -14, 15, -3, -12, 2, 6],\n [-17, -11, 0, 18, 0, -18, 9],\n [-5, 4, -11, 16, 12, 4, -12],\n [-17, 0, 9, 17, 14, -1... | 766 | MATH |
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[15, -15, 8, -12, 17, 10, 2],\n [0, -12, 9, -10, 11, 13, -6],\n [0, 0, 1, 3, 16, 7, -16],\n [0, 0, 0, 2, -14, -16, 7],\n [0, 0, 0, 0, 4, -17, -14],\n [0, 0, 0, 0, 0, -15, 15],\n [0, 0, 0, 0, ... | 400 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-15, 8, 12, 1, 5, -2, 11],\n [-12, 14, -15, -11, -17, 10, 15],\n [-2, 1, 10, -13, 1, 8, -13],\n [-13, -12, 17, -13, 15, -18, 11],\n [3, -2, 1, 13, 13, -13, -13],\n [-11, -8, 10, 14, -18, 8, -11],\n [-6, 18, 18, 10, 7, 7, 13]]? Round to the nearest integer,... | 805 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[9, 5, 3, 18, 15, 8, 9],\n [-7, -1, 15, -13, 9, -18, 0],\n [-1, -3, -15, 11, -2, 5, -7],\n [-8, 13, -10, -8, -3, -9, -4],\n [12, 0, -12, -15, 0, -8, 16],\n [-15, -1, -4, -18, 0, 15, 12],\n [-1, -3, 8, -2, 0, 4, -15]]\nRound to the nearest integer, then giv... | 665 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -10, 15, -2, 2, 4, 17],\n [15, -9, 11, 17, 13, 8, -18],\n [-2, -10, -1, 3, 11, -8, -4],\n [17, -7, 7, -13, 16, -17, 4],\n [-15, -16, -10, 0, -17, 0, -18],\n [-12, -9, -14, -12, -9,... | 152 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-4, -17, -5, -1, -9, -13, 12],\n [0, 4, -2, 15, -12, -13, -18],\n [0, 0, -16, -18, -16, -1, -4],\n [0, 0, 0, 9, -3, 10, 0],\n [0, 0, 0, 0, 4, -13, -11],\n [0, 0, 0, 0, 0, -2, 7],\n [0, 0, 0, 0, 0, 0, -5]]? Round to the nearest integer, then express your an... | 160 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 10, 1, -3, -3, -11, -17],\n [0, -3, -3, -17, -15, -9, 4],\n [0, 0, -9, 12, 7, -4, 8],\n [0, 0, 0, -12, -13, 16, -3],\n [0, 0, 0, 0, -6, -11, 8],\n [0, 0, 0, 0, 0, -12, 13],\n [0, 0,... | 968 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[6, 2, -2, 6, -3, 2, 0],\n [2, -16, 14, -8, -1, 14, 8],\n [-2, 14, 7, -3, 4, -5, 7],\n [6, -8, -3, -7, -5, 10, -12],\n [-3, -1, 4, -5, 15, 0, -8],\n [2, 14, -5, 10, 0, -17, 3],\n [0, 8, 7, -12, -8, 3, -4]]\nRound to the nearest integer, then give your answ... | 874 | MATH |
[
{
"content": "What is the determinant of the matrix:\n[[-1, 5, -12, 6, -12, -14, 5],\n [0, 2, 1, -9, 4, 14, -4],\n [0, 0, -14, -10, 8, 9, -10],\n [0, 0, 0, -5, -4, -17, 13],\n [0, 0, 0, 0, 1, -14, -1],\n [0, 0, 0, 0, 0, 8, 1],\n [0, 0, 0, 0, 0, 0, 9]]? Round to the nearest integer, then express your answer modu... | 920 | MATH |
[
{
"content": "Determine the value of det(A) where A =\n[[15, 11, -15, 5, 7, -12, 2],\n [-5, 15, -9, -8, -12, 16, 9],\n [-4, -18, -5, -6, 3, 2, 18],\n [-1, -10, 12, 17, -14, 12, -18],\n [3, -4, 7, 10, 8, 15, 2],\n [-7, 16, 15, 14, 4, -11, 0],\n [16, 8, 11, 1, 9, -9, 6]]\nRound to the nearest integer, then give y... | 454 | MATH |
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -18, 11, -6, 6, -7, 5],\n [0, -10, 4, -13, 16, 9, -14],\n [0, 0, 1, 3, 4, -7, 14],\n [0, 0, 0, 2, -7, 16, -3],\n [0, 0, 0, 0, 18, -10, 9],\n [0, 0, 0, 0, 0, 5, 8],\n [0, 0, 0, 0, 0... | 0 | MATH |
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