messages
listlengths 1
1
| ground_truth
stringclasses 992
values | dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the determinant of the matrix:\n[[9, -10, -2, 4],\n [-10, -4, -4, -6],\n [-2, -4, 5, 0],\n [4, -6, 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"
}
] |
916
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 11, 0, 11],\n [0, 2, -2, 12],\n [0, 0, -8, -3],\n [0, 0, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
888
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 4, 9, 7],\n [-11, -8, -9, -2],\n [-11, -8, 11, 1],\n [-1, -9, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
517
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[12, 6, -2, -8],\n [0, 10, -10, -4],\n [0, 0, 3, 10],\n [0, 0, 0, -11]]\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"
}
] |
40
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -8, 6, 4],\n [-8, -4, 4, 8],\n [6, 4, -12, -6],\n [4, 8, -6, -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"
}
] |
0
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 2, -1, -12],\n [2, 9, 8, 1],\n [-1, 8, 1, 2],\n [-12, 1, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
860
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[11, 3, 0, -2],\n [3, -3, -2, -6],\n [0, -2, 6, -7],\n [-2, -6, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
594
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 9, -6, -4],\n [0, -2, -4, -8],\n [0, 0, -12, -8],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, -9, 3, -8],\n [-12, -3, 6, 4],\n [-2, -3, 8, -3],\n [9, 12, 8, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, -10, -3, 1],\n [0, 4, -9, 9],\n [0, 0, -12, -1],\n [0, 0, 0, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
480
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, 9, 9, -8],\n [-7, -4, 3, 10],\n [-11, 3, -4, -2],\n [11, -5, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[7, 3, -6, -5],\n [0, 1, 12, 12],\n [0, 0, -1, -2],\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"
}
] |
972
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 9, 9, -8],\n [9, 3, -4, -7],\n [-12, 11, -12, -5],\n [0, -1, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
335
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-10, -2, 10, 5],\n [-2, -1, -2, 4],\n [10, -2, 6, 4],\n [5, 4, 4, -11]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
938
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, 8, 6, 5],\n [0, -8, 3, -5],\n [0, 0, -4, 5],\n [0, 0, 0, 4]]\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"
}
] |
408
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[8, 0, 0, -5],\n [0, -8, -8, -10],\n [0, 0, 9, 3],\n [0, 0, 0, -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"
}
] |
576
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -1, 4, -2],\n [-1, 7, -4, 7],\n [4, -4, -5, 9],\n [-2, 7, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
394
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-9, 1, -3, 0],\n [1, -4, -8, -10],\n [-3, -8, 5, -4],\n [0, -10, -4, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
15
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[9, 8, 1, -3],\n [8, -8, -8, 0],\n [1, -8, -3, 0],\n [-3, 0, 0, 11]]\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"
}
] |
192
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, -6, -4, 2],\n [-6, -4, 0, 1],\n [-4, 0, 0, -4],\n [2, 1, -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"
}
] |
376
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-3, 9, 1, 10],\n [0, -5, 0, -11],\n [12, 6, 3, -7],\n [2, -7, 9, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
649
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, -7, -8, 5],\n [0, -6, -2, 1],\n [0, 0, 9, -2],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
784
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[8, -12, -9, -11],\n [0, 3, 6, -7],\n [0, 0, -1, 2],\n [0, 0, 0, 9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
784
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[8, -2, 1, -4],\n [-2, -11, -4, 6],\n [1, -4, 6, 4],\n [-4, 6, 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"
}
] |
297
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-4, 4, 0, -6],\n [4, 9, -4, -6],\n [0, -4, -11, -6],\n [-6, -6, -6, 3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
472
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 8, -4, 4],\n [8, -10, 4, 0],\n [-4, 4, 6, 1],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
642
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 1, -10, 1],\n [-10, -10, -6, -7],\n [10, 2, 3, 7],\n [2, 4, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, 10, 2, -5],\n [5, 12, -6, -2],\n [-1, -1, 11, -11],\n [-11, 11, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
755
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-4, 3, -1, 5],\n [-8, 11, -12, 12],\n [10, -12, -10, -12],\n [-10, 7, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
724
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -12, 10, -5],\n [-3, -9, 11, 0],\n [-1, -7, -7, 12],\n [-7, 11, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
536
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, 5, 10, -4],\n [5, -7, -2, 8],\n [10, -2, -6, 2],\n [-4, 8, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
910
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -8, 0, 0],\n [-8, 9, 1, 2],\n [0, 1, -5, 2],\n [0, 2, 2, -11]]\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": "What is the determinant of the matrix:\n[[8, -1, -4, -4],\n [-1, 4, -6, -1],\n [-4, -6, 12, -9],\n [-4, -1, -9, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
633
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-2, -5, 1, -11],\n [-3, -3, -4, 8],\n [8, -12, -5, 1],\n [12, -5, -12, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
748
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -9, -8, 11],\n [6, -1, 11, 0],\n [12, -2, 8, -10],\n [6, 8, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
24
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -4, -7, 1],\n [-4, -10, -10, 8],\n [-7, -10, -11, -2],\n [1, 8, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
876
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[0, -12, -8, -1],\n [5, 9, 8, 5],\n [-9, -4, 9, 12],\n [4, 8, 12, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
452
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[8, -9, 1, 10],\n [0, -12, -1, 12],\n [0, 0, 7, 2],\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"
}
] |
688
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, -6, 9, 5],\n [0, 6, 0, -12],\n [0, 0, 10, 8],\n [0, 0, 0, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
920
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-2, -9, 10, -12],\n [0, 4, 6, -6],\n [0, 0, 6, 8],\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"
}
] |
96
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[9, -2, 8, 2],\n [0, 1, -1, 10],\n [0, 0, 6, 0],\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"
}
] |
108
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, 1, -1, -3],\n [0, 7, 5, -4],\n [0, 0, 6, 12],\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"
}
] |
512
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[5, 6, 11, 3],\n [-4, -11, 8, 11],\n [-6, -12, 0, -4],\n [-10, 11, 5, 0]]\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"
}
] |
832
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -4, -8, 12],\n [0, -9, -11, -1],\n [0, 0, 12, -1],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
752
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-12, -6, -6, -2],\n [0, -12, 12, -3],\n [9, -9, -7, 8],\n [-12, 2, -12, 1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
556
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-10, 8, 7, -2],\n [8, -9, -7, -3],\n [7, -7, -8, 0],\n [-2, -3, 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"
}
] |
388
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[4, -10, -7, -3],\n [-10, -5, 2, 4],\n [-7, 2, 1, -2],\n [-3, 4, -2, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
560
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, 3, 9, 4],\n [0, -1, -2, 6],\n [0, 0, 2, -7],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
880
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 8, 12, -5],\n [0, 9, 8, -5],\n [0, 0, 6, 4],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
650
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, 4, 2, -4],\n [4, -5, 7, 4],\n [2, 7, 3, 5],\n [-4, 4, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
29
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 8, 6, 6],\n [-4, -5, 2, -5],\n [-1, -11, 4, 10],\n [-6, -3, 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"
}
] |
924
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-4, -6, -12, 0],\n [0, 1, -8, 5],\n [0, 0, 9, -2],\n [0, 0, 0, 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"
}
] |
964
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[10, -7, 6, -12],\n [2, -3, -7, 10],\n [7, -1, -5, 4],\n [6, 3, -12, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
880
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, 0, -6, 11],\n [10, 12, 1, -1],\n [3, -12, 7, -2],\n [-5, -6, 11, -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"
}
] |
500
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -4, 11, -5],\n [5, -10, -5, 2],\n [-12, -1, -4, 12],\n [4, -6, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
542
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-11, -5, -2, -8],\n [-5, -5, 2, 2],\n [-2, 2, 12, 0],\n [-8, 2, 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"
}
] |
576
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, -6, -8, -10],\n [-6, -1, 4, 0],\n [-8, 4, -8, 0],\n [-10, 0, 0, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
200
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[5, 4, -2, -2],\n [4, 3, -2, -6],\n [-2, -2, 1, -3],\n [-2, -6, -3, 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"
}
] |
920
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 10, 8, -2],\n [10, 6, 9, 6],\n [8, 9, 12, -1],\n [-2, 6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
758
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[9, 2, 2, 4],\n [2, -10, -9, 5],\n [2, -9, 6, -6],\n [4, 5, -6, 3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
811
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, -6, 5, 0],\n [-6, 2, 6, -1],\n [5, 6, -10, 11],\n [0, -1, 11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
803
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-3, 11, 4, -10],\n [-7, -9, -1, -9],\n [-8, -2, -6, 12],\n [10, 6, -9, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
998
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 4, -12, -9],\n [-9, 8, 10, -4],\n [1, -4, 10, 5],\n [-7, 10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, -2, 7, 4],\n [-2, -7, 0, -1],\n [7, 0, 12, -2],\n [4, -1, -2, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
674
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -1, 6, 2],\n [6, -9, 1, -10],\n [12, 8, 10, 3],\n [11, -9, 8, -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"
}
] |
962
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, -4, -8, -8],\n [-4, 3, -2, 10],\n [-8, -2, 1, -2],\n [-8, 10, -2, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
461
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-1, 10, -1, 5],\n [0, -5, -4, -3],\n [0, 0, 5, 6],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
750
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 7, -3, 0],\n [6, 4, -4, 6],\n [-7, -8, -6, 10],\n [5, -8, 7, -2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
546
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 6, 5, 8],\n [0, 12, -9, -10],\n [0, 0, 2, -5],\n [0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
712
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 8, 12, -10],\n [0, 5, 3, 1],\n [0, 0, 3, 6],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
90
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -8, 3, -12],\n [0, -8, -7, -5],\n [0, 0, 10, 7],\n [0, 0, 0, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
80
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 11, -4, -3],\n [3, 5, -6, 7],\n [-7, -1, 8, 12],\n [-7, -4, 5, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-4, -1, 5, -11],\n [0, 8, 5, 12],\n [0, 0, -2, -1],\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"
}
] |
320
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -2, -8, -10],\n [-2, 4, 2, 11],\n [2, -7, -8, -8],\n [-7, -9, -3, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
688
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-7, -6, 7, 9],\n [-2, -6, 10, -5],\n [7, 7, -11, 4],\n [-1, 1, 12, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
841
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, 0, -4, 4],\n [0, 4, -6, -3],\n [-4, -6, -12, 4],\n [4, -3, 4, 11]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
696
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, 4, 5, 10],\n [0, -2, -6, 2],\n [0, 0, 6, -3],\n [0, 0, 0, 11]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
76
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 0, -1, -11],\n [0, 11, 11, -4],\n [0, 0, -3, 10],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
178
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, -7, 2, 4],\n [-7, 6, -1, 3],\n [2, -1, 9, 9],\n [4, 3, 9, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -9, 2, -9],\n [0, 12, -8, 2],\n [0, 0, 6, 12],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
592
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-5, -2, 5, -8],\n [-5, 0, -7, -2],\n [8, 5, 9, 12],\n [-2, -4, 11, -11]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
132
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -6, 8, 9],\n [-1, -12, -9, -1],\n [10, 1, 4, 12],\n [-4, 4, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
683
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, -6, -11, -3],\n [0, 1, -10, 7],\n [0, 0, 2, 12],\n [0, 0, 0, 8]]\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"
}
] |
176
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, 7, 8, -10],\n [0, 5, -9, -5],\n [0, 0, 12, -5],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, 8, -5, 5],\n [0, -4, -7, 1],\n [0, 0, -12, 9],\n [0, 0, 0, 3]]\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"
}
] |
992
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-5, -5, -3, -10],\n [1, 12, -2, -9],\n [-12, -12, 11, 3],\n [1, -7, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
155
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, -6, -12, -9],\n [0, -12, 1, 6],\n [0, 0, 7, -8],\n [0, 0, 0, -3]]\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"
}
] |
236
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[12, 12, -5, -11],\n [12, -12, 6, 5],\n [12, -2, 1, 3],\n [-3, -10, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
926
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[12, 4, 10, 1],\n [4, 8, 0, 7],\n [10, 0, 4, -7],\n [1, 7, -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"
}
] |
300
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -4, 7, -5],\n [-4, 11, -6, 6],\n [7, -6, 9, -2],\n [-5, 6, -2, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -5, 8, 2],\n [0, 11, -6, -5],\n [0, 0, -3, 2],\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"
}
] |
584
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-9, 7, -1, 1],\n [0, 5, 1, -10],\n [0, 0, 1, -9],\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"
}
] |
955
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 2, -4, -5],\n [2, -12, 6, -2],\n [-4, 6, -3, 2],\n [-5, -2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
176
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-5, 4, 0, -4],\n [4, 9, -10, -12],\n [0, -10, -3, -6],\n [-4, -12, -6, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
866
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-11, 10, -2, 9],\n [-9, 4, 0, -10],\n [1, 1, 4, 10],\n [-10, 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"
}
] |
810
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[8, 0, 8, 2],\n [0, -9, -6, 10],\n [8, -6, 0, 3],\n [2, 10, 3, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
384
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -8, 1, -9],\n [6, 0, 11, -12],\n [-7, -7, -2, -2],\n [10, 7, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
609
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-4, 4, 0, -5],\n [4, -3, 2, -2],\n [0, 2, -5, -1],\n [-5, -2, -1, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
245
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -1, -12, 3],\n [0, -11, -5, 10],\n [0, 0, 9, -8],\n [0, 0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
872
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 2, 12, 2],\n [2, -6, 2, 7],\n [12, 2, 8, 4],\n [2, 7, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
808
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.