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_0200
|
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, -4, -3],\n [1, -2, 2, -2],\n [-2, 0, 3, -3],\n [4, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0201
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-3, 1, -3, -2],\n [0, -1, 1, -4],\n [3, 0, 3, 0],\n [-2, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0202
|
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, 4, 1],\n [3, 4, -3, 1],\n [3, 4, -1, 0],\n [-3, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0203
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[3, -2, 2, -1],\n [1, -4, 2, 1],\n [1, 4, 4, -1],\n [0, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0204
|
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, -4],\n [2, 1, 1, 3],\n [-3, 0, -1, -4],\n [-1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
15
|
math
|
arithmetic_matrix_svd_train_0205
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 4, 1, -3],\n [-1, 0, 3, 1],\n [2, -4, -2, -2],\n [-4, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0206
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-3, 3, -2, 3],\n [1, -2, 3, 4],\n [-3, 3, 4, 3],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0207
|
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, 0, -4],\n [3, 1, 3, -1],\n [4, 1, -1, -1],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0208
|
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, -4, -4],\n [-3, -3, 2, 4],\n [2, 1, -1, 2],\n [2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0209
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[3, -1, -3, 3],\n [-2, 2, 3, 4],\n [-2, 2, -3, 3],\n [-3, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0210
|
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, 2, 0, 3],\n [-4, 0, -4, 2],\n [0, -2, -1, -3],\n [-4, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0211
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[3, 0, 4, -3],\n [0, 0, 2, -4],\n [1, -2, 3, 2],\n [4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0212
|
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, 2, 4, 0],\n [-4, -2, 3, 1],\n [-1, 2, -3, 1],\n [4, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0213
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[2, -3, -1, 3],\n [0, 2, 3, -2],\n [3, -3, -2, 0],\n [3, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0214
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -4, 4, 2],\n [2, 4, 3, -2],\n [1, -2, 1, 2],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0215
|
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, -2, 2, 0],\n [-3, 0, 3, 2],\n [0, -3, -1, -4],\n [2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0216
|
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, -2],\n [-3, 0, 0, -1],\n [4, -4, 4, 1],\n [-1, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0217
|
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, 4, -1],\n [-2, -1, 1, 0],\n [-3, 0, 1, 0],\n [3, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0218
|
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, 0, 1],\n [1, 2, -3, 0],\n [1, 3, 0, 1],\n [-4, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0219
|
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, -1, 0, 3],\n [-1, -1, 3, 2],\n [2, -1, -1, 4],\n [1, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0220
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-2, 1, -2, -4],\n [-1, 2, -1, -1],\n [-1, 4, 1, -2],\n [4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0221
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -4, -4, 1],\n [4, 1, 3, 4],\n [0, 2, -1, -3],\n [-2, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0222
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[0, 2, 4, 2],\n [0, 3, -1, -1],\n [4, -1, 2, 3],\n [-3, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0223
|
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, -1, 3, 1],\n [-3, 0, -2, 1],\n [0, 2, -3, 4],\n [1, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0224
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-3, 2, 2, 0],\n [4, 4, -4, 4],\n [1, 3, -4, 1],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_svd_train_0225
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-3, 0, 3, -2],\n [-1, -1, 0, -1],\n [1, -2, 1, 2],\n [4, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0226
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -2, 3, -4],\n [-1, -2, 3, 3],\n [4, 2, -1, 3],\n [-3, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0227
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[1, 0, 0, -4],\n [-4, 3, 0, -2],\n [-4, 1, -3, 2],\n [4, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0228
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-3, -1, 1, 0],\n [0, 3, 1, -1],\n [-3, 3, 4, -1],\n [-4, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0229
|
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[[-1, 1, -4, 4],\n [0, 4, 3, -2],\n [4, -2, 4, -2],\n [4, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0230
|
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, -4, -3],\n [1, 4, 4, -2],\n [-1, 2, 1, -1],\n [0, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0231
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, 2, 0, -1],\n [1, 4, 0, -4],\n [3, -4, -4, 2],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0232
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[0, 4, -1, -1],\n [-4, -3, -3, -3],\n [2, 1, -3, -2],\n [2, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0233
|
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, 4, 1, -4],\n [-2, 0, 0, 2],\n [2, 1, 3, -4],\n [-2, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0234
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -4, -2, -4],\n [2, -3, 2, 3],\n [-4, 0, -1, 4],\n [2, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0235
|
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, 1, 1],\n [3, 2, -2, 4],\n [3, -4, -1, 1],\n [-2, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0236
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[3, -4, 3, 0],\n [-4, 3, 3, 3],\n [-1, 0, -2, 3],\n [1, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0237
|
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, 4, -3, 1],\n [-1, 0, 0, -1],\n [3, 3, -4, 0],\n [1, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0238
|
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, 4],\n [-3, -4, -3, 0],\n [-1, 3, -1, 1],\n [-2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0239
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, -4, 1, -2],\n [-3, 4, 0, -2],\n [3, 1, 0, 1],\n [-4, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0240
|
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, 0, 1, 2],\n [-1, 1, 2, 2],\n [-2, 4, 4, 1],\n [-4, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0241
|
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, 0],\n [1, -4, -1, 1],\n [-2, -4, 1, 3],\n [-1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0242
|
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, -3],\n [-1, 1, -1, -3],\n [1, 2, -1, -1],\n [2, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0243
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[3, 4, 2, -1],\n [-1, 1, 4, 1],\n [-2, -2, 3, -2],\n [-1, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0244
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -4, 2, -4],\n [3, -1, 1, 3],\n [3, 3, -1, 4],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_svd_train_0245
|
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, 4, 3, -2],\n [4, 1, 2, -2],\n [0, 1, -3, -4],\n [-2, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0246
|
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, 0, -2, 4],\n [3, 2, -3, -3],\n [-2, 4, 1, 0],\n [2, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0247
|
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, -3, -3],\n [-4, -2, 2, -3],\n [2, -4, 3, 4],\n [4, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0248
|
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, -3, 4, -3],\n [2, 1, -4, 4],\n [-2, -4, 4, 1],\n [-2, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0249
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 0, 3, 4],\n [-2, -4, 2, 4],\n [-3, 3, -2, 4],\n [4, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0250
|
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, 4, 0],\n [1, -1, 4, 0],\n [0, 4, -3, -2],\n [2, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0251
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -2, 3, 3],\n [2, 1, 2, 4],\n [-2, 3, 3, 4],\n [2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0252
|
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, 2, -1, 0],\n [0, -4, 0, -1],\n [3, 3, -1, -4],\n [2, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0253
|
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 [1, 2, -2, -1],\n [0, 4, 1, 3],\n [-3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0254
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-2, 1, -3, 2],\n [3, 3, -3, -1],\n [0, -4, 2, 0],\n [4, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0255
|
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, 0],\n [-3, -2, 0, 0],\n [-3, 3, -1, -4],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0256
|
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, 4, 2],\n [-4, -1, 0, -3],\n [-2, -1, 3, 1],\n [3, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_svd_train_0257
|
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, 1, 0],\n [-1, 4, 0, -4],\n [-1, -4, 3, 3],\n [1, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0258
|
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, -1, 2],\n [3, 1, 1, 4],\n [1, -4, 3, -4],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0259
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, 3, -4, -2],\n [1, 0, -3, 2],\n [0, -3, 2, 0],\n [3, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0260
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-2, 3, -4, 0],\n [0, -2, -1, -4],\n [0, 4, 4, 4],\n [-3, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0261
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-3, 1, -3, -3],\n [3, 1, -3, -3],\n [0, -1, 3, -4],\n [2, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0262
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-4, 3, -1, -3],\n [2, -1, 3, 0],\n [0, 0, 0, -4],\n [-3, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0263
|
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, 4, 2, -1],\n [-3, 3, -2, -4],\n [-4, -3, 0, -4],\n [3, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
22
|
math
|
arithmetic_matrix_svd_train_0264
|
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, -3, -1],\n [3, -3, 0, 4],\n [-3, -1, 3, -3],\n [1, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0265
|
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, 1, -2],\n [4, -4, 3, 1],\n [-4, -1, -3, -1],\n [3, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0266
|
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, -3, 1, -2],\n [3, -3, 2, -2],\n [3, 0, -4, -4],\n [0, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0267
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[0, 1, -3, -1],\n [1, 3, 4, -4],\n [4, -4, -1, 0],\n [-2, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0268
|
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, -3, 3, -3],\n [-1, 2, -3, 4],\n [-4, 1, 0, -4],\n [-3, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0269
|
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, 4, 4, 3],\n [-2, 2, 0, 3],\n [-1, -1, -3, -1],\n [1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0270
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, -2, 1, 1],\n [-2, -3, -2, -1],\n [0, -2, 4, -1],\n [1, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0271
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -1, 1, 4],\n [-2, 0, 1, 2],\n [2, 3, -2, -4],\n [1, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0272
|
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, 3, -4],\n [-3, 1, 0, -3],\n [4, 3, -3, 4],\n [2, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0273
|
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, -2, -3, -1],\n [4, -3, -3, -4],\n [3, 0, -4, -3],\n [0, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0274
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[0, 4, 2, -1],\n [4, 2, 0, 0],\n [-1, -1, 2, 0],\n [3, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0275
|
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, -3, -3],\n [0, 4, -2, -4],\n [2, 3, 0, -3],\n [-3, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0276
|
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, -1, 0, -1],\n [-3, 4, 0, 0],\n [1, 2, 2, -3],\n [-1, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_svd_train_0277
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, 3, -2, 3],\n [2, 4, 1, 4],\n [-4, -2, -1, -3],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0278
|
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, 3, 1],\n [3, 2, 1, 2],\n [-3, 2, 1, -4],\n [-2, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_svd_train_0279
|
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, -1, -1],\n [-3, -1, 0, -3],\n [4, -3, 1, 1],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0280
|
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, 0, 4, 3],\n [0, -3, 2, 3],\n [3, -3, 4, 3],\n [3, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_svd_train_0281
|
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, -2, 0, 4],\n [-3, -4, -4, 1],\n [-1, 1, -4, 4],\n [4, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
24
|
math
|
arithmetic_matrix_svd_train_0282
|
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, 3, 2],\n [-3, -2, 2, -4],\n [-2, -3, 4, 3],\n [-3, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0283
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, 2, 0, 0],\n [-3, -2, -2, -1],\n [1, 0, 2, -1],\n [1, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0284
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-3, -2, 1, -3],\n [1, -3, -3, 2],\n [0, -2, 3, -1],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_svd_train_0285
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-4, -3, 4, 3],\n [-2, -3, -4, 0],\n [3, -1, -1, 3],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0286
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 2, -1, -4],\n [3, 0, 2, -4],\n [4, -2, -2, 0],\n [3, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
6
|
math
|
arithmetic_matrix_svd_train_0287
|
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, -2, 2],\n [-1, 0, -4, -3],\n [-1, 1, 4, 0],\n [-1, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0288
|
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, 1, 3],\n [-1, -1, 4, -4],\n [3, 0, 4, 0],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
19
|
math
|
arithmetic_matrix_svd_train_0289
|
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, 2, -1],\n [-3, -2, -4, -2],\n [3, -1, -3, -2],\n [3, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0290
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-1, -4, 2, -4],\n [-4, -3, -1, 4],\n [-2, -1, -2, 4],\n [-2, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
9
|
math
|
arithmetic_matrix_svd_train_0291
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-3, -3, -3, -2],\n [0, 1, -1, 0],\n [1, 1, 3, 1],\n [-2, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0292
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, 4, -3, -3],\n [4, -3, -4, 4],\n [1, -2, 1, -3],\n [-3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_svd_train_0293
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[3, 3, -4, 1],\n [0, -3, -3, 1],\n [-2, -1, -2, -4],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
20
|
math
|
arithmetic_matrix_svd_train_0294
|
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, -3, -4, -3],\n [3, 0, 3, -1],\n [-1, 1, 2, 3],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_svd_train_0295
|
arithmetic_matrix_svd
| null |
[
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, -4, 1, -4],\n [1, 0, 4, -3],\n [1, -1, 2, -2],\n [4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_svd_train_0296
|
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[[-1, -3, 3, 4],\n [1, 3, -3, 3],\n [1, -4, 2, 3],\n [4, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
21
|
math
|
arithmetic_matrix_svd_train_0297
|
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, 3, -4, -4],\n [3, 2, -3, 4],\n [3, -2, -4, 0],\n [-4, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_svd_train_0298
|
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, -3, -1],\n [-1, -2, -3, 2],\n [0, -3, 1, 0],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
14
|
math
|
arithmetic_matrix_svd_train_0299
|
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, -3, 4, -4],\n [0, 1, -1, -1],\n [-1, -1, 2, -4],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.