Dataset Viewer
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_0000
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[2, -4, 0, 4],\n [-3, -3, 0, 3],\n [0, 0, -4, 4],\n [2, 4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0001
|
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, -3],\n [-4, -4, -4, -4],\n [2, 1, 2, 3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0002
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, -3, 3, -4],\n [0, 0, -1, 3],\n [-1, -3, -1, -4],\n [-4, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0003
|
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, 2, -2, -2],\n [3, -2, -2, 4],\n [-2, -2, 3, 4],\n [4, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0004
|
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, 3, -3, 0],\n [4, -1, -2, 3],\n [-2, 1, -2, -2],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0005
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 3, 0, 3],\n [1, 0, -1, 1],\n [-2, 3, -3, 3],\n [3, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0006
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, -3, 3, 1],\n [-4, -1, 3, 3],\n [2, 3, 4, -3],\n [4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0007
|
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, -1, 4],\n [-2, 3, -3, 2],\n [-1, -4, 0, -1],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0008
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-4, 3, 1, -3],\n [1, -1, -1, -4],\n [4, 2, 2, 3],\n [-4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0009
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 0, 1, 3],\n [-3, 1, -2, 3],\n [1, -4, -4, 4],\n [-4, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0010
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, 3, 1, -3],\n [-4, 2, -4, -3],\n [0, 0, 2, -2],\n [1, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0011
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -1, 0, 2],\n [-2, -2, -3, 0],\n [-1, 0, 3, -4],\n [1, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0012
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -3, 4, 2],\n [-4, 0, 1, 4],\n [-4, -4, -4, -2],\n [4, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0013
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-4, 4, 2, -2],\n [3, 4, -1, 2],\n [3, 4, -2, -1],\n [4, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0014
|
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[[0, 0, -4, -4],\n [0, 2, -3, -1],\n [3, -3, 2, 2],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0015
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-2, 0, -4, -4],\n [1, 3, -1, 0],\n [1, -3, 3, 3],\n [2, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0016
|
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, 0, -1, -2],\n [-2, 2, 3, -3],\n [4, 0, 4, -3],\n [2, -1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0017
|
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, -3, 3],\n [1, -2, 0, 3],\n [2, -4, -3, 2],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0018
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 0, 2, 2],\n [-4, -1, 4, -3],\n [0, -1, 4, -3],\n [-3, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0019
|
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, 2, -4, -1],\n [3, -1, 3, 1],\n [-4, -4, 0, 3],\n [3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0020
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 0, 4, 3],\n [3, -3, 3, 4],\n [4, 1, 4, 0],\n [-1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0021
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 1, -4, 3],\n [-3, -2, -1, -2],\n [-4, 0, 4, 4],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0022
|
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, 0, 2, -3],\n [4, 1, 2, 2],\n [-2, -2, 2, 3],\n [-2, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0023
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-4, -1, 0, 0],\n [4, 1, -3, -3],\n [3, 0, -2, 4],\n [-4, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0024
|
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[[-3, 0, 2, 1],\n [-4, 1, 4, 4],\n [2, 0, 0, -3],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0025
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-4, -4, 2, 1],\n [-3, 4, 2, 2],\n [4, 1, 3, -3],\n [-3, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0026
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[2, 0, -3, 1],\n [0, -4, -2, 3],\n [-4, 3, 3, -3],\n [-1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0027
|
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, 4, -2],\n [-1, -3, 3, 1],\n [1, 0, -1, 0],\n [-1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0028
|
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, 4, 2, -4],\n [-1, -4, -1, 3],\n [-4, 3, -4, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0029
|
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, 2, 2],\n [2, 0, -2, -1],\n [3, -1, -4, -3],\n [-4, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
11
|
math
|
arithmetic_matrix_svd_train_0030
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-3, -4, 4, -2],\n [-3, 2, 0, 3],\n [4, -3, 0, -3],\n [1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0031
|
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, 0, -4],\n [0, 4, -4, 3],\n [-1, -4, 0, -1],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0032
|
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, -1, 2, 3],\n [2, -2, -4, 1],\n [-3, 4, -3, 1],\n [-2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0033
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -3, 3, 0],\n [1, -3, -3, 3],\n [0, -1, -1, 0],\n [-3, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0034
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 3, 0, -2],\n [-4, 2, 2, -2],\n [0, 1, 4, -3],\n [3, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0035
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, -3, -1, 1],\n [-2, -3, 2, 2],\n [-3, -1, 1, -3],\n [-1, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0036
|
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[[-3, 3, 4, 3],\n [3, 4, -3, 0],\n [1, 3, 2, 2],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0037
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, 3, -3, -1],\n [-4, -2, -2, -1],\n [2, -2, 0, -1],\n [2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0038
|
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, 0, 3, 3],\n [-4, 4, 3, -2],\n [-1, -1, 2, 3],\n [0, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0039
|
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, -3, -3, 3],\n [0, -1, -3, 1],\n [-3, 0, -3, 4],\n [-1, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0040
|
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, 2, 0, 4],\n [-1, -4, -2, -3],\n [0, -1, -3, -4],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0041
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 2, -2, 2],\n [-2, 2, 0, 3],\n [0, -1, 0, 2],\n [4, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0042
|
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[[-3, -4, 2, 2],\n [4, -3, -4, 1],\n [0, 4, 1, -2],\n [1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0043
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, 1, 1, -1],\n [0, 2, -3, 1],\n [4, -4, 0, 2],\n [-4, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
13
|
math
|
arithmetic_matrix_svd_train_0044
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[0, 1, -3, -4],\n [-1, 0, 3, 4],\n [2, 3, -2, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0045
|
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, -3, 4],\n [3, -4, -1, -3],\n [-4, 0, 4, 3],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0046
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-3, 0, 3, -2],\n [4, -4, 4, -4],\n [3, 4, 3, 1],\n [-4, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0047
|
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, 2, -4, 4],\n [1, -3, 1, 0],\n [-4, 0, 4, 3],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0048
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, 4, -4, 0],\n [2, 2, -2, -3],\n [-3, -4, -3, -1],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0049
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[1, -3, 4, -4],\n [1, 4, -1, 2],\n [-1, -1, -4, 3],\n [4, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0050
|
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, -1, -2, 4],\n [-1, 3, 0, -2],\n [4, -3, -3, -3],\n [-1, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0051
|
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 [-2, 3, -3, 1],\n [2, -1, 3, -2],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0052
|
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, -2, 0, -2],\n [2, 2, 3, -3],\n [-2, -4, 1, -1],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0053
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 0, -4, -4],\n [2, -3, -1, 0],\n [2, -3, 1, -1],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0054
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, 2, -2, 3],\n [4, 1, -2, -2],\n [2, 4, -1, -1],\n [-3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0055
|
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, 3],\n [2, -4, 0, -4],\n [-1, 3, -4, 0],\n [1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0056
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[1, 3, 0, 2],\n [3, -2, 2, -3],\n [-2, 4, 4, -2],\n [3, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0057
|
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, 2, 0],\n [-2, -2, -3, 3],\n [1, 1, -1, 1],\n [-1, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0058
|
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, 4, 4, -2],\n [4, 4, 1, 4],\n [-1, -2, -2, 4],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0059
|
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, -4, 2, 3],\n [-3, 2, 1, 1],\n [3, -1, 0, 1],\n [4, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0060
|
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, 0, 3, -1],\n [1, 4, -2, 2],\n [3, -2, -4, 3],\n [4, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0061
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-4, -4, 1, 4],\n [-2, 1, 4, 4],\n [4, 2, 2, 2],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0062
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, -1, -4, 4],\n [3, 4, -4, -4],\n [0, 2, -2, -1],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0063
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, 3, -4, -4],\n [1, 1, 3, -1],\n [-3, 1, 4, 4],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0064
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 3, 0, -2],\n [3, 2, 3, -2],\n [-1, -2, 0, -4],\n [-4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0065
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[4, -3, -1, -2],\n [-4, 1, -2, -3],\n [-2, -1, -4, 1],\n [-3, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0066
|
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, -4, -1],\n [3, -3, 4, -2],\n [1, 2, 4, -4],\n [3, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0067
|
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, 1],\n [2, 4, 4, -4],\n [-4, -3, 2, 4],\n [-2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0068
|
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, 3, -1, 1],\n [1, 4, -4, -1],\n [0, -1, 1, -4],\n [2, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0069
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-4, -2, 3, 2],\n [2, 2, -2, 1],\n [3, -1, -4, 2],\n [-1, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0070
|
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, -1, -4],\n [3, 0, 2, -4],\n [1, -3, -4, 1],\n [-3, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0071
|
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, 0, -1, 2],\n [3, 4, 0, 1],\n [0, -1, -2, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0072
|
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, -3, -3],\n [-3, 2, 4, -1],\n [-2, 1, 1, 2],\n [-2, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0073
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -4, -1, -4],\n [-3, 1, -2, 4],\n [-1, -3, -4, 2],\n [4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0074
|
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, 1, -3, 2],\n [4, -2, -2, 2],\n [-4, 4, -1, 4],\n [-3, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0075
|
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, -3, 2, 4],\n [-4, 3, 1, -3],\n [-1, -3, 4, -4],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0076
|
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, -2, -4, 3],\n [1, -1, 3, -3],\n [4, -4, -4, 0],\n [3, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0077
|
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, 4, -3, -3],\n [3, -2, -1, -2],\n [3, -4, -3, -3],\n [-3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0078
|
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, 0, -4],\n [4, 4, 1, 3],\n [-1, -3, -2, -3],\n [2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0079
|
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, -1, -1],\n [-3, -1, 2, -4],\n [1, -4, 2, -3],\n [2, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0080
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[2, 4, 4, -4],\n [-1, 0, -2, -3],\n [3, -3, 3, 2],\n [-3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0081
|
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, 2, -1],\n [-3, 1, 3, -2],\n [-2, -4, 1, -1],\n [4, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0082
|
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, 1, 0, 4],\n [0, -4, -3, 2],\n [4, -2, 4, 2],\n [3, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0083
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 3, 3, 0],\n [-4, -3, 2, -1],\n [-4, -4, 4, -1],\n [4, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0084
|
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, 1, 1, -1],\n [2, 0, -3, 3],\n [2, 4, 3, 2],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0085
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-2, 3, -4, 2],\n [3, 4, -3, -2],\n [-4, 1, 3, 1],\n [4, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0086
|
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, 3],\n [-2, 0, -1, 3],\n [0, 2, 0, 1],\n [4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0087
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[4, 3, 2, 2],\n [3, 3, -4, -2],\n [3, -1, -2, -3],\n [-3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0088
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-3, -4, 4, -1],\n [2, 4, 2, 1],\n [2, 4, 2, 4],\n [4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0089
|
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 [-1, 1, 2, -3],\n [-4, 4, 2, -4],\n [4, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0090
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-2, -4, 4, 3],\n [-2, -1, -4, 1],\n [1, -4, -1, 1],\n [-3, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0091
|
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, -3],\n [-2, -3, 1, 0],\n [-4, -3, -1, 1],\n [-4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0092
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, -1, -2, -3],\n [2, 0, -1, -2],\n [3, -4, 0, 2],\n [1, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0093
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, -2, 2, 0],\n [-3, 2, 0, -1],\n [-1, -4, 2, -3],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0094
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -1, 1, 4],\n [2, 4, -3, -2],\n [4, -1, 3, 0],\n [-4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0095
|
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 [-1, -4, -4, -2],\n [-1, 4, -3, 3],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0096
|
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, -2, -2, 2],\n [-3, 2, -3, 0],\n [4, -1, 1, 0],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0097
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 4, -4, 2],\n [0, -3, 3, -4],\n [4, -3, -1, -3],\n [4, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0098
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 0, 2, 4],\n [-2, -2, -3, 3],\n [-4, 1, -3, 3],\n [-4, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0099
|
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, 3],\n [4, 0, -4, 2],\n [-3, 4, -1, -1],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
End of preview. Expand
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