messages
listlengths 1
1
| ground_truth
stringclasses 992
values | dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Determine the value of det(A) where A =\n[[4, 5, -9, 11],\n [0, -3, -8, -1],\n [0, 0, -4, 2],\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"
}
] |
424
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 0, -2, -6],\n [-5, 12, 12, 12],\n [9, -6, -12, 11],\n [5, -7, -1, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
70
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[11, -6, -4, -10],\n [-6, -5, -10, 6],\n [-4, -10, -12, -2],\n [-10, 6, -2, -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"
}
] |
732
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -7, 12, -9],\n [-10, -11, -4, 5],\n [1, -1, -9, -10],\n [1, 6, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
146
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -4, -4, -8],\n [4, 3, -3, 7],\n [0, -7, 11, -7],\n [-11, 10, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
520
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[6, -2, -12, -1],\n [3, 4, 8, -3],\n [-10, 12, -3, -9],\n [-9, 12, 2, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
410
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 10, 9, 0],\n [-1, -5, 6, -11],\n [9, -4, 5, -9],\n [-3, -3, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
470
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-12, -9, 8, 5],\n [9, -1, -8, -2],\n [0, -7, 2, 1],\n [-11, -2, -7, 3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
78
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-7, -6, 7, 1],\n [0, -3, -10, 1],\n [0, 0, 10, 3],\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"
}
] |
160
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[4, -2, 0, 11],\n [-2, -6, -6, -2],\n [0, -6, 11, -8],\n [11, -2, -8, 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"
}
] |
750
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, -8, 7, -12],\n [-5, 4, 11, 10],\n [2, 5, 6, -3],\n [9, -12, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
490
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 5, -10, 1],\n [0, 3, -7, 6],\n [0, 0, -5, -2],\n [0, 0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
550
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-12, 2, -4, 0],\n [2, -12, -7, 8],\n [-4, -7, 8, 5],\n [0, 8, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
148
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[0, 0, -5, -2],\n [0, 5, -4, 0],\n [-5, -4, 4, 4],\n [-2, 0, 4, -3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
759
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 4, 1, 4],\n [4, 0, -6, 5],\n [1, -6, 4, -11],\n [4, 5, -11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
825
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[9, -5, -10, 4],\n [-11, -3, -8, 0],\n [-8, 12, 4, -3],\n [-3, 2, -7, -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"
}
] |
620
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 12, -11, 7],\n [0, -8, -3, 7],\n [0, 0, 2, 9],\n [0, 0, 0, 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"
}
] |
960
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -11, 8, 2],\n [0, -4, 12, 5],\n [0, 0, -12, -10],\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"
}
] |
880
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-8, 12, 3, 3],\n [0, -1, 9, -5],\n [0, 0, -9, 5],\n [0, 0, 0, 10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
280
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, 0, 4, 3],\n [0, 9, -3, 2],\n [4, -3, 11, -4],\n [3, 2, -4, 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"
}
] |
322
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[4, 0, 4, -7],\n [0, -9, 2, -3],\n [4, 2, 5, -12],\n [-7, -3, -12, -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"
}
] |
845
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 6, -4, -6],\n [6, 3, 2, 9],\n [-4, 2, -1, 6],\n [-6, 9, 6, -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"
}
] |
946
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-12, 0, -5, -1],\n [0, -6, 0, -10],\n [-5, 0, -7, 1],\n [-1, -10, 1, 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"
}
] |
740
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -10, 3, -10],\n [3, -11, 11, -6],\n [-4, 6, 5, 7],\n [11, -12, 8, 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"
}
] |
94
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-11, 2, 4, 2],\n [2, -10, -7, 2],\n [4, -7, 1, -2],\n [2, 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"
}
] |
193
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 8, 11, -1],\n [8, -6, -2, -5],\n [11, -2, -5, -3],\n [-1, -5, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
291
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, 8, -5, -3],\n [3, 0, 4, -1],\n [-2, 2, -2, 10],\n [-3, 0, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[0, -8, -2, 0],\n [-8, 9, -1, -3],\n [-2, -1, -4, 6],\n [0, -3, 6, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
44
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -10, 2, 1],\n [-12, 7, 11, -10],\n [6, 9, 2, -9],\n [7, -7, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
935
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -8, 4, -12],\n [8, -10, -12, -10],\n [0, 7, -7, -7],\n [4, -11, -8, -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"
}
] |
912
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[5, 2, -3, 2],\n [2, 2, -2, -2],\n [-3, -2, -12, -3],\n [2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
808
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[1, 2, -1, 8],\n [0, -11, 5, 1],\n [0, 0, -10, 12],\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"
}
] |
880
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[3, 2, -4, -2],\n [2, 12, 1, -4],\n [-4, 1, 7, 4],\n [-2, -4, 4, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
877
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-7, 7, 4, 10],\n [-1, 10, -1, 5],\n [1, -12, -9, -4],\n [8, 11, -10, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
81
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[12, 3, 3, -1],\n [0, 1, -4, 7],\n [0, 0, -5, 7],\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"
}
] |
820
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[5, -4, -4, 6],\n [-4, 0, -6, 8],\n [-4, -6, -6, -2],\n [6, 8, -2, 4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
248
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, -8, -9, -11],\n [-12, 1, 10, 0],\n [1, -2, 10, 1],\n [4, -2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
380
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-8, -1, 12, -1],\n [0, -10, -1, -2],\n [0, 0, 4, -7],\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"
}
] |
120
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, 5, -1, -5],\n [0, 4, -3, 8],\n [0, 0, 11, 11],\n [0, 0, 0, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
452
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -2, -1, -5],\n [6, 3, 12, 5],\n [-11, -11, -8, 11],\n [4, -1, 7, -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"
}
] |
491
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[9, -3, -7, 8],\n [0, 12, 7, 8],\n [0, 0, 4, -8],\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"
}
] |
752
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-5, -3, -9, 12],\n [0, 9, 3, 7],\n [0, 0, 7, -12],\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"
}
] |
535
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 11, -5, 11],\n [0, 2, -3, -8],\n [0, 0, 3, 4],\n [0, 0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
420
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, -3, -3, -4],\n [0, 1, 5, 9],\n [0, 0, 8, -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"
}
] |
808
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[4, -3, 4, 0],\n [-3, -10, -8, 2],\n [4, -8, 2, 7],\n [0, 2, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
853
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[7, -3, -4, 8],\n [0, -6, -11, -7],\n [0, 0, 11, 12],\n [0, 0, 0, -8]]? 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": "Determine the value of det(A) where A =\n[[-8, -12, 4, 4],\n [0, -8, 7, 0],\n [0, 0, -2, 0],\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"
}
] |
976
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[8, -5, 4, -4],\n [-9, 7, -12, 9],\n [-3, -3, -2, 12],\n [9, 0, -11, 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"
}
] |
237
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-6, -6, 4, -9],\n [-6, 10, -1, -8],\n [4, -1, 8, 11],\n [-9, -8, 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"
}
] |
351
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[8, 11, 6, 12],\n [0, -3, 0, -9],\n [-2, -9, -11, -9],\n [9, -8, 6, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
261
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -12, 0, 3],\n [0, 2, 8, 7],\n [0, 0, -12, -1],\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"
}
] |
808
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-1, 3, 4, -11],\n [3, 2, -3, 6],\n [4, -3, -8, -2],\n [-11, 6, -2, 9]]\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[[-8, -8, 3, 6],\n [-8, -2, 12, -4],\n [3, 12, 5, 7],\n [6, -4, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
212
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-1, 5, 4, -10],\n [5, 9, -8, 4],\n [4, -8, 5, 4],\n [-10, 4, 4, 7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
766
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-7, -11, 0, -5],\n [0, 10, -6, -7],\n [0, 0, 7, -6],\n [0, 0, 0, -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"
}
] |
450
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[1, 10, 3, -9],\n [0, 6, 6, -10],\n [0, 0, 3, -9],\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"
}
] |
964
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-7, 8, 5, 2],\n [0, -11, 9, 0],\n [0, 0, 11, 10],\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"
}
] |
224
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -11, 4, 4],\n [0, -11, 6, 3],\n [0, 0, -5, -7],\n [0, 0, 0, -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"
}
] |
770
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-1, -5, -12, 10],\n [0, -4, -7, -11],\n [0, 0, -7, 11],\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"
}
] |
28
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-6, 1, 11, -8],\n [0, 11, 9, -3],\n [0, 0, -4, 5],\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"
}
] |
848
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-6, -4, 1, -5],\n [-4, -12, 8, 5],\n [1, 8, -11, -8],\n [-5, 5, -8, 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"
}
] |
411
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[11, -4, 9, 0],\n [-4, 4, 6, 0],\n [9, 6, -11, -11],\n [0, 0, -11, 0]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
612
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-6, 2, 10, 4],\n [2, 12, -8, -6],\n [10, -8, 11, 0],\n [4, -6, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[2, 3, 10, -4],\n [0, 3, 0, 3],\n [0, 0, 1, -4],\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"
}
] |
12
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-2, -6, -8, -8],\n [6, -2, -9, -8],\n [-5, -3, 5, 6],\n [-6, -11, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
92
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-3, -11, 6, -4],\n [-8, 10, 7, 4],\n [12, -4, 10, -3],\n [5, 5, 1, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
718
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -11, -7, -3],\n [0, 4, -5, -1],\n [0, 0, 1, -3],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
868
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-6, 6, -1, 0],\n [6, -12, -3, -1],\n [-1, -3, -2, -10],\n [0, -1, -10, -3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
779
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 6, -3, -4],\n [0, 12, -2, 9],\n [0, 0, 11, 1],\n [0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-4, -2, 12, -3],\n [-2, 9, 3, 0],\n [12, 3, -8, -1],\n [-3, 0, -1, 9]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
697
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, 1, 10, -12],\n [-2, -5, -5, 7],\n [11, -7, 7, -7],\n [5, -12, -11, -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"
}
] |
237
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[10, -5, 12, -9],\n [0, 5, 5, -4],\n [0, 0, 11, -8],\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"
}
] |
950
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[3, 0, -5, 7],\n [0, 10, 5, -4],\n [0, 0, -9, 6],\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"
}
] |
270
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -4, 5, -4],\n [-4, 0, 1, -11],\n [5, 1, -3, -10],\n [-4, -11, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
657
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[10, -3, 3, 4],\n [-3, 3, -4, 4],\n [3, -4, -1, -4],\n [4, 4, -4, 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"
}
] |
432
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[5, -8, 10, -5],\n [8, -4, 0, -1],\n [-5, -6, 1, 10],\n [-7, 1, -1, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
501
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -6, 3, -4],\n [-6, 7, -2, -4],\n [3, -2, -2, 4],\n [-4, -4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
93
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[12, -6, -6, 7],\n [-11, 11, 0, 1],\n [10, -10, 1, -6],\n [-3, -1, -10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
40
|
MATH
|
[
{
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, 0, -12, -2],\n [0, -4, -5, -5],\n [0, 0, -4, 6],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
776
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[-2, -8, -6, 4],\n [-8, 0, 0, 0],\n [-6, 0, -1, -3],\n [4, 0, -3, 2]]\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": "What is the determinant of the matrix:\n[[2, 1, 0, 12],\n [0, -1, 1, 11],\n [0, 0, 2, 8],\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"
}
] |
956
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -4, -11, 4],\n [0, 8, 8, -5],\n [0, 0, -12, -7],\n [0, 0, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
552
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-2, -11, 0, -4],\n [0, 11, -12, 2],\n [0, 0, 4, -8],\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"
}
] |
56
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[2, 5, -2, 3],\n [-2, -9, -5, -11],\n [12, 10, 10, 3],\n [12, 4, 10, -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"
}
] |
452
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[-6, -11, -12, -9],\n [0, -8, 3, 4],\n [0, 0, -8, -2],\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"
}
] |
848
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, 1, -7, -8],\n [0, -10, 9, 5],\n [0, 0, 11, -5],\n [0, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
680
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[7, 2, 2, -6],\n [2, -10, -6, 3],\n [2, -6, 11, 6],\n [-6, 3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
477
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[12, 10, -11, 2],\n [10, 9, -2, 6],\n [-11, -2, 10, 4],\n [2, 6, 4, -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"
}
] |
853
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 9, 10, 4],\n [5, -2, 8, -11],\n [9, 0, 7, 9],\n [5, -2, -11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
542
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[7, -1, -4, 10],\n [0, 10, -5, -2],\n [0, 0, -2, 2],\n [0, 0, 0, 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"
}
] |
300
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[10, -6, -7, 6],\n [-6, -9, 2, -9],\n [-7, 2, -7, 0],\n [6, -9, 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"
}
] |
526
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[6, 4, -2, 6],\n [4, -2, 5, -4],\n [-2, 5, -1, -4],\n [6, -4, -4, 4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
356
|
MATH
|
[
{
"content": "Compute |A| for the matrix A =\n[[8, -12, -10, -9],\n [-4, 12, 7, -6],\n [12, -11, 7, -9],\n [0, 6, 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"
}
] |
968
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, 6, -4, 2],\n [6, -4, -4, -1],\n [-4, -4, -8, 2],\n [2, -1, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
496
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, -8, -8, -4],\n [0, -3, -10, 9],\n [0, 0, 6, 8],\n [0, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
622
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -10, -3, 9],\n [0, 5, 11, 3],\n [0, 0, 7, 2],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
440
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[10, 0, -4, -8],\n [0, -9, 0, 0],\n [-4, 0, -2, 0],\n [-8, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
820
|
MATH
|
[
{
"content": "Determine the value of det(A) where A =\n[[-3, -3, 0, 10],\n [-2, -9, -12, 9],\n [12, -2, 5, 3],\n [7, 4, -3, -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"
}
] |
177
|
MATH
|
[
{
"content": "What is the determinant of the matrix:\n[[12, 0, 6, 0],\n [0, 1, -8, 2],\n [6, -8, 6, -5],\n [0, 2, -5, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
940
|
MATH
|
[
{
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[11, -6, 7, 10],\n [6, -7, 1, -11],\n [-10, 1, 3, 0],\n [10, 4, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
629
|
MATH
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.