messages
listlengths 1
1
| ground_truth
stringclasses 992
values | dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Compute |A| for the matrix A =\n[[4, 11, 2, 0],\n [0, -6, 0, -6],\n [0, 0, 9, -3],\n [0, 0, 0, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
704
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -5, 5, -4],\n [0, -3, -8, 2],\n [0, 0, 4, 5],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[4, 12, -1, 8],\n [11, -10, 9, -2],\n [-6, 5, -12, -11],\n [-5, 12, 12, 9]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
969
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 2, -5, 4],\n [2, 7, 4, 2],\n [-5, 4, 3, 3],\n [4, 2, 3, 1]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
337
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -9, -6, 8],\n [0, -6, 6, -9],\n [0, 0, 4, 8],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-12, 10, 2, 8],\n [0, -8, -5, 12],\n [0, 0, 3, -12],\n [0, 0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[11, 6, 2, 8],\n [0, -11, 6, -12],\n [0, 0, -2, -3],\n [0, 0, 0, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
726
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 0, 7, 10],\n [0, 3, -2, -1],\n [0, 0, -8, 7],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
856
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -7, -10, 8],\n [0, -4, -8, -3],\n [0, 0, 7, 6],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
992
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, 7, -7, 2],\n [0, -9, 7, 7],\n [0, 0, 4, 10],\n [0, 0, 0, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
436
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-12, -2, -4, 5],\n [-2, -8, 0, 4],\n [-4, 0, 2, -4],\n [5, 4, -4, 9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
192
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 2, -3, -4],\n [0, 5, -3, 0],\n [0, 0, 1, -11],\n [0, 0, 0, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
940
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[6, -7, -3, 11],\n [0, -10, 0, -5],\n [0, 0, -9, 11],\n [0, 0, 0, 12]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
480
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -4, -11, -7],\n [0, 10, 11, 1],\n [0, 0, 9, 5],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-1, 8, 3, 5],\n [-6, -2, 5, 0],\n [11, 0, 10, -3],\n [-12, -1, 0, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
788
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 12, 10, -6],\n [-5, -3, -8, -7],\n [10, -11, -8, -7],\n [3, 0, -4, 2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
372
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[1, -8, -5, 8],\n [-7, -10, 12, -3],\n [6, 7, -9, 3],\n [3, 0, -7, -1]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
713
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 0, -4, -6],\n [-1, 2, 7, 0],\n [-6, 1, 12, -6],\n [-2, 6, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
952
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, -2, 12, 3],\n [0, -7, -8, 9],\n [0, 0, 5, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
860
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 6, 3, -7],\n [12, 5, -5, -11],\n [5, 1, 11, 12],\n [12, -7, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
534
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, 2, -11, 8],\n [0, -8, 4, -9],\n [0, 0, -4, -12],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
360
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, 7, -3, -11],\n [-2, 11, -4, 4],\n [-12, -9, 8, 6],\n [-10, 0, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
480
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 11, -7, -12],\n [-3, -4, 12, -9],\n [-1, 9, -3, 6],\n [-2, -9, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, 0, -8, 2],\n [0, -9, 2, -5],\n [0, 0, 2, -9],\n [0, 0, 0, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, 6, -7, 5],\n [0, 5, -12, 12],\n [0, 0, -5, 5],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-6, 0, 0, -11],\n [0, -5, 2, -6],\n [0, 0, 10, 10],\n [0, 0, 0, -1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
700
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, 7, -8, 11],\n [0, -9, 5, 10],\n [0, 0, -5, -1],\n [0, 0, 0, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
450
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-1, -9, -5, 6],\n [-10, 7, -8, 3],\n [3, 2, 2, -9],\n [10, 7, 9, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
686
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -3, -12, 7],\n [4, -4, -6, 7],\n [4, -10, 11, -10],\n [12, -6, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
54
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -1, 12, 6],\n [6, 2, -4, -9],\n [-1, -7, -4, 8],\n [-7, 7, -8, -2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
448
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -1, 0, 2],\n [-1, 6, 4, 3],\n [0, 4, 6, -4],\n [2, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
308
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[1, 2, -4, -6],\n [2, -4, 8, -7],\n [-4, 8, -1, 4],\n [-6, -7, 4, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
25
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, -2, -10, -4],\n [-2, 6, 2, -6],\n [-10, 2, -2, 2],\n [-4, -6, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
648
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, -6, 5, 11],\n [-12, -9, -10, -3],\n [3, -10, 4, -2],\n [-11, 2, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
17
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -3, 9, 1],\n [0, -2, 7, 2],\n [0, 0, -6, -5],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
760
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, 10, 11, -11],\n [5, -11, -1, 3],\n [5, -8, 6, -10],\n [-6, -3, 2, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
366
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 2, 10, 2],\n [2, 0, -6, 8],\n [10, -6, -5, -4],\n [2, 8, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
276
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-2, 4, 10, -4],\n [4, 4, -10, -6],\n [10, -10, 7, -3],\n [-4, -6, -3, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
976
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-9, 11, -7, -5],\n [0, 5, 9, -4],\n [0, 0, -12, 5],\n [0, 0, 0, 10]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, -2, -1, 0],\n [-2, -2, -10, 0],\n [-1, -10, -8, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
406
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, -3, -2, 10],\n [12, 10, -1, -8],\n [-3, 8, 3, -2],\n [-9, -6, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
694
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-11, -12, 9, 5],\n [0, 2, 5, 0],\n [0, 0, -7, -12],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
154
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[1, 2, -11, -5],\n [-11, -10, -8, 0],\n [5, -2, 3, -2],\n [-3, 7, 9, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
835
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -3, -4, -3],\n [-5, -5, -4, -8],\n [6, 0, 10, 7],\n [4, 9, -3, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
823
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[4, -2, 3, -12],\n [12, -10, 10, -2],\n [9, -10, 8, 0],\n [-1, 6, 11, 12]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
964
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 11, -5, 10],\n [0, -9, -9, 12],\n [0, 0, 6, 8],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
620
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-10, 5, 0, 5],\n [0, 10, 11, -3],\n [0, 0, -11, 10],\n [0, 0, 0, 2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 4, 1, 0],\n [4, 4, 10, -8],\n [1, 10, -2, 2],\n [0, -8, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, 10, -2, 9],\n [11, 6, -4, -4],\n [2, -12, 0, 12],\n [-8, 2, 12, 0]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
840
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, 4, 2, 2],\n [4, 7, 6, 7],\n [2, 6, -11, -10],\n [2, 7, -10, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, -2, 2, -4],\n [-2, -1, -8, 4],\n [2, -8, -6, 3],\n [-4, 4, 3, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
709
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 5, -1, -4],\n [5, 11, -4, 5],\n [-1, -4, 4, -8],\n [-4, 5, -8, -9]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
504
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, 0, 0, 9],\n [0, 4, -4, 0],\n [0, -4, -7, 1],\n [9, 0, 1, 8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
428
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -4, 0, -4],\n [-4, -7, 0, 5],\n [0, 0, -3, 0],\n [-4, 5, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
776
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 3, 1, 8],\n [-4, 11, 2, 12],\n [3, 12, 6, 1],\n [-7, -9, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
584
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 0, -6, 10],\n [0, 9, 6, 2],\n [-6, 6, -5, -6],\n [10, 2, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
588
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 7, 3, 3],\n [-9, -11, 9, 0],\n [9, 9, -9, 10],\n [-8, -1, -10, -7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 6, 1, -4],\n [6, -2, 6, 12],\n [1, 6, -3, 4],\n [-4, 12, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
664
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, -8, -1, -11],\n [0, 4, 2, 1],\n [0, 0, -4, 4],\n [0, 0, 0, 9]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
416
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[10, 1, 2, 2],\n [1, -10, -2, -4],\n [2, -2, 10, 4],\n [2, -4, 4, -1]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
706
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[1, 6, -11, 0],\n [-2, -5, -1, -3],\n [-8, -1, -9, 1],\n [10, -5, 7, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
878
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -3, -7, 9],\n [9, -12, 1, -9],\n [7, 8, -11, 10],\n [6, -6, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
842
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -10, 12, 2],\n [0, 3, -6, -11],\n [0, 0, -2, -8],\n [0, 0, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[0, 10, -2, 4],\n [10, -12, 6, 0],\n [-2, 6, 9, 4],\n [4, 0, 4, 0]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 1, 2, 7],\n [0, -12, -12, -4],\n [0, 0, -4, -6],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
616
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[1, -7, -1, 8],\n [4, 5, 6, -5],\n [-11, -12, 12, 6],\n [-8, 0, -3, 0]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
259
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, 5, -4, 0],\n [0, -11, 12, 5],\n [0, 0, 1, 2],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
220
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, -8, 0, 3],\n [0, 6, -2, 8],\n [0, 0, 1, 10],\n [0, 0, 0, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, 4, 9, 10],\n [1, 7, 10, 1],\n [-4, 10, -1, -3],\n [-9, 5, -5, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
589
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, -3, -6, 5],\n [5, 3, -11, -4],\n [-10, -2, -6, -9],\n [8, 2, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
620
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, 5, 12, -7],\n [0, -10, 5, 10],\n [0, 0, -5, 4],\n [0, 0, 0, -2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
400
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-7, -6, -8, -9],\n [4, -2, 2, 5],\n [5, 10, 5, 3],\n [-7, -6, 8, -12]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
566
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-4, 5, -11, -1],\n [0, 1, 3, -12],\n [0, 0, 9, 4],\n [0, 0, 0, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -1, -2, 10],\n [-1, 4, 1, 0],\n [-2, 1, 10, 6],\n [10, 0, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -1, 11, -11],\n [3, -2, 6, 4],\n [1, -6, 3, 11],\n [0, 2, -2, -7]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[7, 0, -10, -5],\n [0, -2, 2, 1],\n [-10, 2, -4, 7],\n [-5, 1, 7, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
450
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 0, 4, 8],\n [0, 3, 0, -11],\n [0, 0, 2, 3],\n [0, 0, 0, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
528
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -3, 9, 2],\n [0, -11, 3, -9],\n [0, 0, -10, 4],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
620
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[5, 3, 2, 4],\n [3, -6, -2, -2],\n [2, -2, 6, -1],\n [4, -2, -1, -12]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
255
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[11, 0, -1, 10],\n [-5, 0, -9, -3],\n [10, -12, 0, -3],\n [3, 11, 5, 3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
246
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[7, -12, 4, 10],\n [0, 12, -3, -3],\n [0, 0, -9, 6],\n [0, 0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[2, 2, 8, -4],\n [1, 1, 10, -11],\n [9, 12, 8, -10],\n [-5, -11, 6, -2]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
476
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, -9, 4, 8],\n [0, 8, 4, -2],\n [0, 0, 1, 4],\n [0, 0, 0, 11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
880
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 8, -1, 7],\n [3, 7, 12, 9],\n [0, 5, -3, 12],\n [-7, 3, 7, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
16
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 12, 4, -7],\n [1, -3, -4, 12],\n [0, -3, -9, 2],\n [7, -4, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
972
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, 3, 4, 12],\n [0, -9, -6, -11],\n [0, 0, 8, -10],\n [0, 0, 0, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, -3, -2, 0],\n [-3, 6, -6, 6],\n [-2, -6, 10, 0],\n [0, 6, 0, -6]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
716
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-11, -3, -9, 4],\n [0, 5, 12, -8],\n [0, 0, 7, 12],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
150
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-5, 9, 6, -6],\n [0, 7, -11, -10],\n [0, 0, 7, 7],\n [0, 0, 0, 9]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
795
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, -8, -4, -7],\n [-4, 3, 1, -2],\n [10, 4, 8, 6],\n [0, -5, -5, -3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
916
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 6, -11, 3],\n [0, 12, -2, -10],\n [0, 0, -10, 12],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
800
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, 0, -11, -10],\n [0, 10, 8, -8],\n [0, 0, -3, -7],\n [0, 0, 0, 7]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
900
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 7, 0, -2],\n [7, 1, 2, 1],\n [0, 2, -5, 0],\n [-2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
457
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, -11, 8, 8],\n [-9, -11, -2, -5],\n [8, 12, 1, 12],\n [8, 5, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 9, 10, 0],\n [-9, -4, -8, -2],\n [-5, -10, 6, -10],\n [6, 2, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[5, -12, 12, 5],\n [-11, 5, -6, 7],\n [8, -5, 8, -2],\n [-12, 12, 8, -5]]\nRound to the nearest integer, then give your answer as det(A) mod 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
106
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-10, 0, -6, 2],\n [0, 5, -2, -6],\n [-6, -2, -8, -4],\n [2, -6, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
300
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 4, 1, 12],\n [-8, -1, 9, 5],\n [-1, 12, 5, 10],\n [-6, 2, -11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -4, 7, 3],\n [-5, -12, 5, -2],\n [6, 8, 11, -1],\n [3, 9, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
664
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -1, 8, 5],\n [-1, 4, -6, 8],\n [8, -6, 2, -2],\n [5, 8, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
940
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.