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.