id
stringlengths 32
32
| setting_key
stringclasses 1
value | setting_name
stringclasses 0
values | messages
listlengths 1
1
| ground_truth
stringclasses 41
values | dataset
stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_svd_train_0100
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-4, -1, -4, -3],\n [3, -1, 3, 2],\n [1, -2, 3, 4],\n [-2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0101
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[1, 0, -1, 1],\n [4, -4, -3, -4],\n [-2, -4, 4, 0],\n [1, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0102
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[0, 0, 2, -1],\n [-3, 2, -4, -1],\n [0, 1, 4, -2],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0103
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[4, 3, -1, 2],\n [-1, -4, 4, 4],\n [-1, 4, -3, -3],\n [-2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0104
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[1, -1, 4, 1],\n [3, 2, 1, 2],\n [-3, 3, -1, -1],\n [4, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0105
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[4, 0, 0, -4],\n [1, 3, 2, -2],\n [-2, 3, 1, 4],\n [2, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0106
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[0, 1, 0, -1],\n [-4, 0, 3, 1],\n [-1, 0, 0, -1],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0107
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[4, -2, -2, 1],\n [-4, -2, 0, 1],\n [3, 0, -3, 4],\n [-1, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0108
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[4, -2, -2, 4],\n [-3, -2, -2, -4],\n [-1, 2, 3, -2],\n [3, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0109
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, -2, -2, 4],\n [3, 0, 4, -1],\n [4, 2, 0, -4],\n [0, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0110
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[1, 1, 0, 1],\n [0, 1, 3, -4],\n [3, 4, -1, -4],\n [-3, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0111
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-1, -2, 4, -2],\n [2, 4, 4, 4],\n [-1, 0, 3, -3],\n [-4, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0112
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 2, -3, 2],\n [-1, -2, -4, -3],\n [3, -2, 0, -1],\n [-3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0113
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-1, 1, -2, 4],\n [-2, 1, 4, -2],\n [0, -2, 4, 3],\n [1, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0114
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[3, 4, -4, 2],\n [1, -2, -1, 3],\n [1, 3, -2, 4],\n [3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0115
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[2, 2, -3, -4],\n [1, -1, 0, 2],\n [-4, 4, 1, -4],\n [2, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0116
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -1, 4, 0],\n [2, -4, 3, -4],\n [1, -1, 2, -3],\n [0, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0117
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[0, 3, 1, -1],\n [2, 4, -2, 2],\n [0, 0, 3, -2],\n [1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0118
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[1, 1, 2, 3],\n [-4, -1, 0, -2],\n [1, -1, -3, -1],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0119
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[0, 3, -2, 1],\n [-3, -4, -4, 0],\n [2, 2, -1, 2],\n [-4, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0120
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-2, -2, 4, -1],\n [-4, -1, -4, -3],\n [0, -1, -1, -3],\n [1, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0121
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[1, -2, 3, -4],\n [2, 1, -4, 4],\n [3, 2, -3, 1],\n [4, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0122
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[2, 1, 0, -4],\n [2, 2, -3, -4],\n [2, -1, -2, -1],\n [-1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0123
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[1, -1, -1, -1],\n [1, -1, -3, 3],\n [3, 3, -4, 2],\n [-4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0124
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-4, -3, -4, 3],\n [-3, 4, 1, 0],\n [1, 2, -2, 2],\n [0, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0125
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-2, -3, -1, 3],\n [1, 1, 4, -3],\n [-1, -3, -1, -4],\n [3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0126
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, -4, 0, -1],\n [-3, 1, -1, 4],\n [-2, -3, 1, 4],\n [3, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0127
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[4, 3, -1, -4],\n [2, -2, 2, -3],\n [-3, -2, -3, 0],\n [3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0128
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, 1, 2, 2],\n [4, 1, -4, 4],\n [0, 1, -1, 1],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0129
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[1, -3, 1, 3],\n [-4, -4, 3, 3],\n [4, 0, -1, -4],\n [-2, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0130
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, -2, -1, 3],\n [2, 4, -4, 2],\n [-1, -1, 2, -3],\n [-1, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0131
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[1, -1, 2, 1],\n [1, 0, -4, -1],\n [1, 2, 3, -2],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0132
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-2, 2, 3, 1],\n [-4, 1, -2, 2],\n [1, 4, -2, 0],\n [-3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0133
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -1, 0, 1],\n [3, 4, 0, -2],\n [4, -4, 0, 4],\n [1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0134
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[1, -2, 4, 0],\n [3, -2, -2, 1],\n [-1, 3, -4, -4],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0135
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-4, -2, -1, -3],\n [0, 0, 3, -4],\n [2, -3, -1, 3],\n [2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_svd_train_0136
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[2, -3, 0, 2],\n [-3, -2, -3, 0],\n [0, -4, 4, 0],\n [-2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0137
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-4, -2, 2, 4],\n [3, 4, 3, 0],\n [-2, 1, -1, 2],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0138
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, 3, 2, 4],\n [2, 4, -3, -4],\n [2, -3, -3, -1],\n [4, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0139
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 4, -1, 3],\n [0, -1, 3, 4],\n [2, -3, 3, 3],\n [1, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0140
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[4, 1, 4, 2],\n [-1, 4, -4, 4],\n [4, 1, -2, 1],\n [3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0141
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, 0, -1, -3],\n [-3, 4, 1, 2],\n [2, 1, -2, 4],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0142
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[2, 3, 0, 4],\n [2, 0, 2, 2],\n [-2, 0, -2, -3],\n [-2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0143
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, 2, -2, -3],\n [-3, -4, 2, 0],\n [-1, 1, -3, 1],\n [1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0144
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[0, 3, 4, -2],\n [4, -3, 0, 3],\n [1, -3, 3, -3],\n [1, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0145
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-3, -3, 0, -4],\n [1, 3, -2, 2],\n [-2, 2, 1, -3],\n [-2, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0146
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 2, -2, -3],\n [-3, 1, 1, 0],\n [1, -3, 3, 4],\n [-1, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0147
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-3, -3, 3, 0],\n [-4, 0, -2, 2],\n [-4, -3, -3, 0],\n [1, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0148
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-4, 2, -4, 2],\n [3, 4, -2, -1],\n [-1, 1, 3, 3],\n [-2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0149
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-2, -1, -2, -2],\n [-1, 2, 4, 0],\n [-3, 2, -3, 2],\n [-4, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0150
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[3, -3, -2, -2],\n [-4, 4, -2, 2],\n [-3, -4, 2, 4],\n [1, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0151
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-2, 4, -1, -3],\n [-3, 2, -1, -3],\n [3, 2, -2, 1],\n [4, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0152
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[1, 2, -3, -2],\n [2, 4, 4, -3],\n [4, 0, 1, 0],\n [3, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0153
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-4, 4, -1, -1],\n [2, -4, 1, -4],\n [0, -2, -2, -2],\n [-4, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0154
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-1, 0, 1, 4],\n [-3, -4, 4, 0],\n [-4, -3, -1, 4],\n [0, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0155
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-2, -2, 3, -2],\n [-2, -1, 0, -4],\n [3, -3, 3, -3],\n [2, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0156
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 3, -4, 4],\n [-4, 4, -2, -3],\n [-1, -4, -1, 3],\n [-3, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_svd_train_0157
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 2, 4, -1],\n [3, 2, 3, -3],\n [2, -3, 0, -4],\n [-3, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0158
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[0, -2, -4, 0],\n [-2, 3, -3, -4],\n [-1, 4, 2, 4],\n [3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0159
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, 2, -3, 4],\n [4, 4, 2, -4],\n [-4, -3, 2, 2],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0160
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -4, 1, 1],\n [-4, -2, 0, -4],\n [-2, 4, 3, -3],\n [0, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0161
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-4, -2, 1, 1],\n [1, 4, 4, 4],\n [-2, 4, -1, 2],\n [-4, -2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0162
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-3, 2, -3, -4],\n [-3, -1, 1, -2],\n [-3, 3, 1, 1],\n [-3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0163
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[3, 2, 2, -2],\n [-2, -1, 3, 0],\n [4, -3, -2, -2],\n [-3, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0164
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[2, 4, -3, -2],\n [1, -4, 1, -3],\n [-4, -1, -1, -3],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0165
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-4, 0, 0, -4],\n [-4, 4, 2, 2],\n [1, -3, 1, 2],\n [-4, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0166
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[0, -4, 4, -2],\n [0, 3, 1, -2],\n [4, -3, 4, 0],\n [3, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0167
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 4, 3, -3],\n [1, -1, 0, 1],\n [1, -1, 4, 3],\n [-4, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0168
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[2, -2, 0, -4],\n [4, -2, -1, 3],\n [-3, 3, 4, 3],\n [-2, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0169
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-1, -4, -2, 1],\n [3, -1, -2, 4],\n [2, 0, -3, 1],\n [1, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0170
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-1, -2, 4, 1],\n [4, 3, 1, -1],\n [0, 4, 0, -2],\n [3, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0171
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-3, -4, 3, -3],\n [1, 0, -3, 4],\n [-3, -4, 3, 1],\n [-4, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0172
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-1, -3, -1, -1],\n [-4, 2, 0, 1],\n [-1, -1, -2, -2],\n [0, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0173
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[3, 4, 4, 2],\n [1, -4, 4, 2],\n [2, -3, 1, 2],\n [4, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0174
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[0, -1, 1, 4],\n [1, 4, -1, -2],\n [0, -1, -4, 3],\n [-4, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0175
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-1, 4, -3, -3],\n [3, -1, 0, -4],\n [1, -1, 3, -4],\n [2, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0176
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-3, -1, 2, 4],\n [2, -1, 0, -2],\n [-4, 4, 1, 1],\n [-3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_svd_train_0177
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-4, 0, 4, -4],\n [1, 1, -3, 3],\n [-2, -3, -1, -1],\n [4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0178
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-4, 3, -3, -2],\n [3, -4, -3, 0],\n [3, 4, -4, 0],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0179
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-4, 2, 1, -3],\n [-3, 0, -4, -3],\n [-3, 3, -4, -2],\n [3, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0180
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[3, 0, 2, 3],\n [1, -3, 3, -2],\n [4, 0, 1, 3],\n [3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0181
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-1, 4, 4, 1],\n [-2, -1, -3, 2],\n [-4, -2, -4, -4],\n [1, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0182
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, -4, 0, 3],\n [-4, 2, -2, 2],\n [-2, 4, 0, -4],\n [3, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0183
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-2, 2, 3, -4],\n [1, -3, 1, 1],\n [-1, -4, 3, 0],\n [-4, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0184
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[0, 0, 2, 4],\n [3, -2, 2, -1],\n [-2, -4, -3, 3],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0185
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[3, -3, 1, -1],\n [1, -4, 2, -1],\n [-3, 2, 1, -3],\n [1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_svd_train_0186
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[1, 4, -2, -4],\n [2, -2, 3, 2],\n [0, 4, -2, -3],\n [-4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0187
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-4, 4, 1, 3],\n [-3, -2, 4, 4],\n [-4, 2, 3, -1],\n [4, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
23
|
math
|
arithmetic_matrix_svd_train_0188
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-1, 4, 3, 1],\n [0, -1, 2, -4],\n [-1, 1, 2, -4],\n [-3, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0189
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 1, -4, 2],\n [-3, -1, -3, 1],\n [-2, -2, 1, 2],\n [-4, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0190
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, 4, 1, -3],\n [3, 4, 1, -1],\n [2, -2, 4, 1],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0191
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-1, 4, 0, 4],\n [4, -4, -4, 3],\n [2, -4, 2, 3],\n [-2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0192
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-1, 2, 4, -1],\n [1, 3, 2, 4],\n [-2, 3, 4, -3],\n [1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0193
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-4, -4, 4, 3],\n [-2, -1, 0, -4],\n [-2, -1, -1, -3],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0194
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[0, -2, 3, -2],\n [-3, 2, 0, -3],\n [-2, -2, 3, 4],\n [0, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0195
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, -3, -2, 1],\n [4, 4, -4, 1],\n [-1, 3, -3, -1],\n [1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0196
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[2, 2, 2, 4],\n [-2, -1, 4, 1],\n [1, 2, 4, 2],\n [-4, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0197
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-2, 2, 2, -1],\n [-4, -1, -1, -3],\n [-1, 0, -4, 4],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0198
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[1, 4, 3, 1],\n [3, -2, -3, -3],\n [4, 3, -2, 3],\n [3, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0199
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[4, 3, 4, -4],\n [-4, 1, -2, 0],\n [-4, 3, -1, 3],\n [-2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
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