Dataset Viewer
id
stringlengths 40
40
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
1
| ground_truth
stringlengths 1
3
| dataset
stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_determinant_train_0000
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-10, 7, 2],\n [-9, -5, 3],\n [-1, -4, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
469
|
math
|
arithmetic_matrix_determinant_train_0001
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-5, -3, -10],\n [0, 6, -10],\n [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}"
}
] |
970
|
math
|
arithmetic_matrix_determinant_train_0002
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[1, 6, 0],\n [0, -3, 2],\n [0, 0, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_determinant_train_0003
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[4, -8, 5],\n [0, 8, 1],\n [0, 0, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
160
|
math
|
arithmetic_matrix_determinant_train_0004
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, -6, 2],\n [-6, -2, -3],\n [2, -3, -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}"
}
] |
302
|
math
|
arithmetic_matrix_determinant_train_0005
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[10, 4, 0],\n [0, 10, 4],\n [0, 0, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
300
|
math
|
arithmetic_matrix_determinant_train_0006
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, 4, -2],\n [4, 1, -3],\n [-2, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
976
|
math
|
arithmetic_matrix_determinant_train_0007
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[9, -9, -3],\n [9, 9, -2],\n [-6, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
92
|
math
|
arithmetic_matrix_determinant_train_0008
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[5, 7, -8],\n [-10, 9, -1],\n [-5, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
400
|
math
|
arithmetic_matrix_determinant_train_0009
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-6, 1, 10],\n [0, -1, 8],\n [0, 0, -1]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
994
|
math
|
arithmetic_matrix_determinant_train_0010
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-2, -9, 5],\n [0, -6, 9],\n [0, 0, -3]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
964
|
math
|
arithmetic_matrix_determinant_train_0011
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-9, -2, 7],\n [0, 10, -7],\n [0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
100
|
math
|
arithmetic_matrix_determinant_train_0012
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[7, -2, 2],\n [-2, -1, -7],\n [2, -7, -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}"
}
] |
783
|
math
|
arithmetic_matrix_determinant_train_0013
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[6, -5, -3],\n [-5, -2, 2],\n [-3, 2, 5]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
869
|
math
|
arithmetic_matrix_determinant_train_0014
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[10, 3, -9],\n [0, 8, -10],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
280
|
math
|
arithmetic_matrix_determinant_train_0015
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-1, 4, 3],\n [0, 6, 7],\n [9, 6, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
84
|
math
|
arithmetic_matrix_determinant_train_0016
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -1, -1],\n [-1, -2, 6],\n [-1, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
641
|
math
|
arithmetic_matrix_determinant_train_0017
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-3, -8, -2],\n [-8, 8, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
740
|
math
|
arithmetic_matrix_determinant_train_0018
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[1, 4, -9],\n [0, -4, 0],\n [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}"
}
] |
996
|
math
|
arithmetic_matrix_determinant_train_0019
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[7, 10, 1],\n [9, 6, 3],\n [4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
240
|
math
|
arithmetic_matrix_determinant_train_0020
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[7, -2, 4],\n [-2, 1, 0],\n [4, 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}"
}
] |
957
|
math
|
arithmetic_matrix_determinant_train_0021
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -9, -1],\n [0, 5, -5],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
975
|
math
|
arithmetic_matrix_determinant_train_0022
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[3, 5, 9],\n [-3, 6, 6],\n [4, -6, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
910
|
math
|
arithmetic_matrix_determinant_train_0023
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -2, -2],\n [-2, 10, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
994
|
math
|
arithmetic_matrix_determinant_train_0024
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-7, 0, -3],\n [-4, -2, 5],\n [-8, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
316
|
math
|
arithmetic_matrix_determinant_train_0025
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[2, -10, 6],\n [0, 4, 5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
968
|
math
|
arithmetic_matrix_determinant_train_0026
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-9, -3, 9],\n [4, 3, 9],\n [-3, -2, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
808
|
math
|
arithmetic_matrix_determinant_train_0027
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[6, -6, -9],\n [0, -8, -9],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
480
|
math
|
arithmetic_matrix_determinant_train_0028
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[5, -9, -5],\n [1, 1, -7],\n [2, 5, -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}"
}
] |
188
|
math
|
arithmetic_matrix_determinant_train_0029
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 2, -10],\n [10, -5, 4],\n [-6, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
651
|
math
|
arithmetic_matrix_determinant_train_0030
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[9, -8, -4],\n [-8, 8, 0],\n [-4, 0, 2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
888
|
math
|
arithmetic_matrix_determinant_train_0031
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[8, -5, 6],\n [-1, -2, -9],\n [6, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
156
|
math
|
arithmetic_matrix_determinant_train_0032
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[0, 3, -4],\n [-4, 0, -5],\n [5, 1, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
869
|
math
|
arithmetic_matrix_determinant_train_0033
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-10, -1, -8],\n [-1, -9, -2],\n [-8, -2, 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}"
}
] |
29
|
math
|
arithmetic_matrix_determinant_train_0034
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -6, 0],\n [-6, 3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
897
|
math
|
arithmetic_matrix_determinant_train_0035
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-2, -8, -6],\n [4, 8, -3],\n [-6, 9, 2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
330
|
math
|
arithmetic_matrix_determinant_train_0036
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, -4, 8],\n [-4, -4, -6],\n [8, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
832
|
math
|
arithmetic_matrix_determinant_train_0037
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-6, 2, -3],\n [-1, 9, 9],\n [5, -2, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
851
|
math
|
arithmetic_matrix_determinant_train_0038
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-3, -3, -6],\n [0, -2, 1],\n [0, 0, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
994
|
math
|
arithmetic_matrix_determinant_train_0039
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, 0, 8],\n [0, 1, -2],\n [8, -2, -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}"
}
] |
62
|
math
|
arithmetic_matrix_determinant_train_0040
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[10, 5, 4],\n [5, -4, 7],\n [4, 7, -1]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
919
|
math
|
arithmetic_matrix_determinant_train_0041
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[3, -7, -7],\n [0, -5, 6],\n [-1, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
239
|
math
|
arithmetic_matrix_determinant_train_0042
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-5, -6, 0],\n [-6, 7, -2],\n [0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
381
|
math
|
arithmetic_matrix_determinant_train_0043
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, -1, -1],\n [-6, 5, -5],\n [-10, -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}"
}
] |
476
|
math
|
arithmetic_matrix_determinant_train_0044
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-6, 4, -7],\n [-1, -10, -7],\n [3, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
567
|
math
|
arithmetic_matrix_determinant_train_0045
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[5, 10, 3],\n [0, -10, -4],\n [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}"
}
] |
550
|
math
|
arithmetic_matrix_determinant_train_0046
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[6, 0, -5],\n [0, -4, 3],\n [0, 0, -8]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
192
|
math
|
arithmetic_matrix_determinant_train_0047
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, -8, -6],\n [2, -1, -9],\n [4, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
612
|
math
|
arithmetic_matrix_determinant_train_0048
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-6, -4, -1],\n [-4, -1, -2],\n [-1, -2, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
909
|
math
|
arithmetic_matrix_determinant_train_0049
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-8, 2, 7],\n [-3, -10, -8],\n [7, -4, 2]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
890
|
math
|
arithmetic_matrix_determinant_train_0050
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-6, 8, 5],\n [0, -7, 4],\n [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}"
}
] |
706
|
math
|
arithmetic_matrix_determinant_train_0051
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-3, -3, -2],\n [5, 7, -5],\n [8, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
245
|
math
|
arithmetic_matrix_determinant_train_0052
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[1, 9, 1],\n [-5, -3, 7],\n [6, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
84
|
math
|
arithmetic_matrix_determinant_train_0053
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-10, 2, 1],\n [5, 5, -2],\n [-9, -6, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
771
|
math
|
arithmetic_matrix_determinant_train_0054
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[5, 3, 2],\n [0, 6, 10],\n [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}"
}
] |
760
|
math
|
arithmetic_matrix_determinant_train_0055
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 3, 10],\n [3, 9, -8],\n [3, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
501
|
math
|
arithmetic_matrix_determinant_train_0056
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[3, -9, 2],\n [-3, 0, -5],\n [-7, 7, 8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
532
|
math
|
arithmetic_matrix_determinant_train_0057
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-10, 5, 1],\n [1, 4, 3],\n [1, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
264
|
math
|
arithmetic_matrix_determinant_train_0058
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[4, -7, 4],\n [0, -2, -3],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
960
|
math
|
arithmetic_matrix_determinant_train_0059
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[9, 4, 7],\n [4, -8, -2],\n [7, -2, -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}"
}
] |
508
|
math
|
arithmetic_matrix_determinant_train_0060
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[2, -2, 3],\n [-2, 2, -2],\n [3, -2, -10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
998
|
math
|
arithmetic_matrix_determinant_train_0061
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, 1, -4],\n [0, -5, 6],\n [0, 0, -10]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
550
|
math
|
arithmetic_matrix_determinant_train_0062
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-5, 0, 7],\n [0, 1, 6],\n [7, 6, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
171
|
math
|
arithmetic_matrix_determinant_train_0063
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[9, 1, -4],\n [1, -6, -2],\n [-4, -2, -5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
351
|
math
|
arithmetic_matrix_determinant_train_0064
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-2, -2, -8],\n [0, 4, 10],\n [0, 0, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
64
|
math
|
arithmetic_matrix_determinant_train_0065
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-3, -1, -1],\n [4, 0, 7],\n [4, 10, 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}"
}
] |
174
|
math
|
arithmetic_matrix_determinant_train_0066
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, -10, -9],\n [0, -2, 8],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_determinant_train_0067
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-8, -1, 10],\n [0, -8, -3],\n [0, 0, 10]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
640
|
math
|
arithmetic_matrix_determinant_train_0068
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-4, 0, -1],\n [-10, 2, 5],\n [10, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
814
|
math
|
arithmetic_matrix_determinant_train_0069
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-9, 3, 4],\n [3, -10, -8],\n [4, -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}"
}
] |
301
|
math
|
arithmetic_matrix_determinant_train_0070
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[3, -1, 6],\n [0, -2, -6],\n [0, 0, -4]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_determinant_train_0071
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[-5, 6, 8],\n [0, 2, -9],\n [0, 0, 6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
940
|
math
|
arithmetic_matrix_determinant_train_0072
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, -9, -8],\n [-4, -1, -6],\n [5, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
532
|
math
|
arithmetic_matrix_determinant_train_0073
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-10, 2, 7],\n [6, 4, 1],\n [9, 8, -9]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
650
|
math
|
arithmetic_matrix_determinant_train_0074
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[5, -4, 9],\n [0, -8, -7],\n [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}"
}
] |
320
|
math
|
arithmetic_matrix_determinant_train_0075
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[1, 4, -5],\n [-3, 10, 9],\n [9, -10, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
538
|
math
|
arithmetic_matrix_determinant_train_0076
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-7, -4, 0],\n [-4, -8, -4],\n [0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
112
|
math
|
arithmetic_matrix_determinant_train_0077
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[4, -4, -1],\n [0, -9, -2],\n [0, 0, -6]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
216
|
math
|
arithmetic_matrix_determinant_train_0078
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[6, 2, -2],\n [2, 6, -4],\n [-2, -4, -6]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
720
|
math
|
arithmetic_matrix_determinant_train_0079
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Compute |A| for the matrix A =\n[[3, -5, 2],\n [10, 3, 10],\n [7, 8, -8]]\nRound to the nearest integer, then take the result modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
56
|
math
|
arithmetic_matrix_determinant_train_0080
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, 3, 10],\n [-8, 10, 2],\n [8, -4, -2]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
628
|
math
|
arithmetic_matrix_determinant_train_0081
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-9, 4, -6],\n [0, -3, -9],\n [0, 0, -7]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
811
|
math
|
arithmetic_matrix_determinant_train_0082
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-9, 8, 1],\n [-3, 0, -8],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
984
|
math
|
arithmetic_matrix_determinant_train_0083
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[-8, -10, 6],\n [-10, 3, 6],\n [6, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
88
|
math
|
arithmetic_matrix_determinant_train_0084
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-5, -10, 5],\n [0, 4, -5],\n [0, 0, 5]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
900
|
math
|
arithmetic_matrix_determinant_train_0085
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[1, 0, 2],\n [0, 6, -2],\n [2, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_determinant_train_0086
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-6, 0, 0],\n [0, -6, -2],\n [0, -2, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
132
|
math
|
arithmetic_matrix_determinant_train_0087
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 9, 10],\n [9, 4, -5],\n [10, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
106
|
math
|
arithmetic_matrix_determinant_train_0088
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[9, -9, 10],\n [0, 7, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
126
|
math
|
arithmetic_matrix_determinant_train_0089
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[1, -3, -2],\n [0, -10, 8],\n [0, 0, 3]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
970
|
math
|
arithmetic_matrix_determinant_train_0090
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-9, 0, 7],\n [8, 7, 10],\n [-9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
590
|
math
|
arithmetic_matrix_determinant_train_0091
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[8, 4, 8],\n [0, 5, -6],\n [-2, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
368
|
math
|
arithmetic_matrix_determinant_train_0092
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[3, 2, 2],\n [0, 6, 6],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
856
|
math
|
arithmetic_matrix_determinant_train_0093
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[-3, 1, 9],\n [0, 5, 2],\n [0, 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}"
}
] |
910
|
math
|
arithmetic_matrix_determinant_train_0094
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[9, 9, -6],\n [-9, 10, -4],\n [-8, 4, -4]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
484
|
math
|
arithmetic_matrix_determinant_train_0095
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "What is the determinant of the matrix:\n[[-5, 10, 7],\n [0, 4, -10],\n [0, 0, 6]]? Round to the nearest integer, then express your answer modulo 1000.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
880
|
math
|
arithmetic_matrix_determinant_train_0096
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Determine the value of det(A) where A =\n[[2, -9, 2],\n [0, -3, -8],\n [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}"
}
] |
958
|
math
|
arithmetic_matrix_determinant_train_0097
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-2, 2, -2],\n [0, 9, -9],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
856
|
math
|
arithmetic_matrix_determinant_train_0098
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Calculate the determinant of the matrix, round to the nearest integer, then find the result modulo 1000:\n[[-8, 1, 1],\n [0, 9, 6],\n [-5, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
679
|
math
|
arithmetic_matrix_determinant_train_0099
|
arithmetic_matrix_determinant
| null |
[
{
"role": "user",
"content": "Find the determinant of the following matrix. Round to the nearest integer, then give your answer modulo 1000:\n[[2, 2, -4],\n [2, -4, 6],\n [-4, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
944
|
math
|
End of preview. Expand
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