id stringlengths 40 40 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringclasses 56
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_eigenvalues_train_0200 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[3, 0, -5],\n [0, -9, 4],\n [-5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0201 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -4, -4],\n [-4, 10, 3],\n [-4, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_eigenvalues_train_0202 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-9, -2, 6],\n [-2, -2, 0],\n [6, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0203 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 7, 7],\n [0, 5, 5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0204 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, 3, -2],\n [0, -1, 10],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0205 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 8, 0],\n [0, 5, 6],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0206 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[2, 2, 6],\n [2, -3, 5],\n [6, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0207 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, -3, 2],\n [-3, -8, -10],\n [2, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 26 | math |
arithmetic_matrix_eigenvalues_train_0208 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, -3, -3],\n [0, 4, -5],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0209 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-5, 0, -2],\n [0, -1, 4],\n [-2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_eigenvalues_train_0210 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[0, 6, 0],\n [0, 9, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0211 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-9, 1, 2],\n [1, 0, -4],\n [2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0212 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, 8, -5],\n [8, 0, 0],\n [-5, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_eigenvalues_train_0213 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[5, -5, -8],\n [0, 0, 7],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_eigenvalues_train_0214 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[4, 2, 9],\n [2, -8, -4],\n [9, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_eigenvalues_train_0215 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[10, 8, 2],\n [8, 7, -6],\n [2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0216 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, 0, -1],\n [0, 7, -1],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0217 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-2, 0, 8],\n [0, -7, 6],\n [8, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 29 | math |
arithmetic_matrix_eigenvalues_train_0218 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-7, -4, 0],\n [-4, 4, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0219 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[3, 7, -6],\n [7, 8, 4],\n [-6, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0220 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[8, 2, 2],\n [2, -2, -4],\n [2, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0221 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, 3, 1],\n [0, 0, -2],\n [0, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0222 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-3, 8, 7],\n [8, -4, 2],\n [7, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0223 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -2, 0],\n [-2, 10, -5],\n [0, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0224 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 7, 5],\n [0, 4, -6],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0225 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 2, -8],\n [2, -8, -2],\n [-8, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0226 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -3, 0],\n [-3, -5, 7],\n [0, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0227 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-8, 1, 4],\n [1, 9, -2],\n [4, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0228 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 6, 0],\n [6, -2, -2],\n [0, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0229 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[10, 1, -3],\n [1, 10, 10],\n [-3, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 38 | math |
arithmetic_matrix_eigenvalues_train_0230 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[4, 3, 2],\n [3, 3, 7],\n [2, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0231 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[7, 6, 0],\n [6, -9, -4],\n [0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0232 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, -9, 10],\n [0, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_eigenvalues_train_0233 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, 8, 6],\n [0, -1, -3],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0234 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, 7, -2],\n [7, 1, -2],\n [-2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0235 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 8, 3],\n [8, -4, 0],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0236 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[5, -1, 7],\n [-1, -8, 8],\n [7, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0237 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[5, -3, -10],\n [0, 1, -5],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_eigenvalues_train_0238 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-8, -2, -2],\n [-2, -3, -6],\n [-2, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0239 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-9, -7, -3],\n [0, -8, -4],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0240 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, -1, 5],\n [0, -3, 6],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_eigenvalues_train_0241 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[0, -4, 2],\n [-4, -6, 0],\n [2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0242 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[4, 9, 3],\n [0, 2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0243 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 3],\n [2, 0, 2],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_eigenvalues_train_0244 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[8, 4, 2],\n [0, -10, -6],\n [0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0245 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[0, -4, 6],\n [-4, -9, 5],\n [6, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_eigenvalues_train_0246 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 6, -4],\n [6, 1, 3],\n [-4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0247 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-10, 8, -6],\n [8, -10, -10],\n [-6, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0248 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-2, 7, -4],\n [0, 6, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0249 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, -9, 7],\n [0, 10, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0250 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-3, -4, -6],\n [-4, 9, -3],\n [-6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0251 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-8, 0, -4],\n [0, -10, 0],\n [-4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 26 | math |
arithmetic_matrix_eigenvalues_train_0252 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, -7, 5],\n [0, -1, 7],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_eigenvalues_train_0253 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-6, 4, 5],\n [4, 8, 2],\n [5, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0254 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 6, 0],\n [6, -10, 5],\n [0, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_eigenvalues_train_0255 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[6, 8, 5],\n [0, -7, 10],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_eigenvalues_train_0256 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, -5, -2],\n [-5, 5, 2],\n [-2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0257 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, -6, -6],\n [0, 2, -5],\n [0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0258 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[0, 1, -2],\n [1, -5, -4],\n [-2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0259 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[3, -5, 10],\n [0, -6, -10],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0260 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[1, -2, 2],\n [-2, 5, -4],\n [2, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0261 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-9, 3, -8],\n [3, 5, -6],\n [-8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_eigenvalues_train_0262 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -4, -6],\n [-4, 0, -3],\n [-6, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0263 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-5, 0, -6],\n [0, 7, -6],\n [-6, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 25 | math |
arithmetic_matrix_eigenvalues_train_0264 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-8, 2, -4],\n [2, 7, -3],\n [-4, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_eigenvalues_train_0265 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-8, 4, -6],\n [0, -6, -4],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23 | math |
arithmetic_matrix_eigenvalues_train_0266 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-5, 2, -3],\n [2, -8, -8],\n [-3, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0267 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-5, 3, 2],\n [3, -9, 0],\n [2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_eigenvalues_train_0268 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[-1, 4, -3],\n [0, -5, 6],\n [0, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0269 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-6, 1, 3],\n [0, -5, -5],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0270 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[0, -6, -6],\n [0, -8, -5],\n [0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0271 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-2, 4, 2],\n [4, -6, 0],\n [2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0272 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[-4, 8, -9],\n [0, 1, -3],\n [0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_eigenvalues_train_0273 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-9, 0, -10],\n [0, 3, -4],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0274 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-7, 3, 4],\n [3, 3, -2],\n [4, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0275 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[-8, -2, -7],\n [-2, 3, -1],\n [-7, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 22 | math |
arithmetic_matrix_eigenvalues_train_0276 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-6, 4, 2],\n [4, 4, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0277 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[7, -4, 0],\n [-4, 7, 4],\n [0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0278 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[8, 8, 5],\n [0, 0, -7],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0279 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[-4, 5, -1],\n [0, -6, -10],\n [0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_eigenvalues_train_0280 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-10, -1, -10],\n [0, -4, -10],\n [0, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0281 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -4, -6],\n [-4, -10, -2],\n [-6, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23 | math |
arithmetic_matrix_eigenvalues_train_0282 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[5, -9, -1],\n [0, -7, -7],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_eigenvalues_train_0283 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 8],\n [0, 2, 0],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_eigenvalues_train_0284 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[-4, -6, 5],\n [0, 2, -4],\n [0, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 15 | math |
arithmetic_matrix_eigenvalues_train_0285 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, -4, 0],\n [-4, -1, -6],\n [0, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0286 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all eigenvalues for the following matrix?\n[[6, 0, 0],\n [0, 4, 4],\n [0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_eigenvalues_train_0287 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-1, -6, -2],\n [-6, -9, 0],\n [-2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0288 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[6, 10, 3],\n [0, 9, -10],\n [0, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0289 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[-10, 8, 5],\n [0, 2, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0290 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[-4, 0, 0],\n [0, -8, 8],\n [0, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27 | math |
arithmetic_matrix_eigenvalues_train_0291 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the sum of absolute values of all eigenvalues for the matrix:\n[[9, 4, -5],\n [0, 8, -10],\n [0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_eigenvalues_train_0292 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[3, 4, 5],\n [0, 9, 4],\n [0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_eigenvalues_train_0293 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the largest eigenvalue by absolute value:\n[[-7, -4, 0],\n [-4, -8, -2],\n [0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_eigenvalues_train_0294 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the largest eigenvalue by absolute value of the matrix:\n[[1, 6, 2],\n [6, 1, -2],\n [2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 10 | math |
arithmetic_matrix_eigenvalues_train_0295 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Determine the sum of absolute values of all eigenvalues of the matrix:\n[[6, 5, -4],\n [5, 2, -4],\n [-4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0296 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[0, -5, 2],\n [0, 2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_eigenvalues_train_0297 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Find the eigenvalues of the matrix and calculate the sum of absolute values of all eigenvalues:\n[[7, 8, -8],\n [0, -4, 8],\n [0, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_eigenvalues_train_0298 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -4, 6],\n [-4, 8, -5],\n [6, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_eigenvalues_train_0299 | arithmetic_matrix_eigenvalues | null | [
{
"role": "user",
"content": "What is the largest eigenvalue by absolute value for the following matrix?\n[[2, 2, 5],\n [2, 1, -3],\n [5, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
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