id stringlengths 34 34 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringlengths 1 5 | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_power_train_0200 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 386 | math |
arithmetic_matrix_power_train_0201 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, 2],\n [0, -3, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_power_train_0202 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 2, -2],\n [2, -3, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 30 | math |
arithmetic_matrix_power_train_0203 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, 0, -2],\n [0, 0, -1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 12 | math |
arithmetic_matrix_power_train_0204 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, 2],\n [-2, 1, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_power_train_0205 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 3, 3],\n [-3, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -156 | math |
arithmetic_matrix_power_train_0206 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 2, 1],\n [2, -1, 0],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -4 | math |
arithmetic_matrix_power_train_0207 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, 1, -1],\n [1, 0, -2],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -3 | math |
arithmetic_matrix_power_train_0208 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, -1, 2],\n [-1, -3, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 54 | math |
arithmetic_matrix_power_train_0209 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 0],\n [-2, -2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1584 | math |
arithmetic_matrix_power_train_0210 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -2],\n [2, -2, 2],\n [-2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 264 | math |
arithmetic_matrix_power_train_0211 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[3, -2, -3],\n [-3, 2, -1],\n [2, 3, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -220 | math |
arithmetic_matrix_power_train_0212 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[1, 3, -2],\n [0, -2, 1],\n [0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_power_train_0213 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [0, 2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_power_train_0214 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, -1],\n [0, -1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 233 | math |
arithmetic_matrix_power_train_0215 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[-3, -2, -2],\n [0, 2, -1],\n [0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27 | math |
arithmetic_matrix_power_train_0216 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 2],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_power_train_0217 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[0, 2, -3],\n [0, -1, 2],\n [0, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_power_train_0218 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, -2],\n [0, 1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0219 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 2],\n [-2, -3, -2],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1049 | math |
arithmetic_matrix_power_train_0220 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-1, 2, 0],\n [2, 2, 0],\n [0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 165 | math |
arithmetic_matrix_power_train_0221 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1],\n [-1, -2, 2],\n [0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 179 | math |
arithmetic_matrix_power_train_0222 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, -3, 3],\n [-1, 3, 1],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -50 | math |
arithmetic_matrix_power_train_0223 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -2, 0],\n [0, 3, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0224 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-2, -2, -1],\n [-2, -1, 0],\n [-1, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 651 | math |
arithmetic_matrix_power_train_0225 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, -1, -1],\n [0, -3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_power_train_0226 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 1, -2],\n [1, -2, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_power_train_0227 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 1],\n [3, -3, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5939 | math |
arithmetic_matrix_power_train_0228 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[3, 0, -1],\n [0, -1, 1],\n [-1, 1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_power_train_0229 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-2, 2, -3],\n [0, -3, -1],\n [0, 0, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_power_train_0230 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 2, -1],\n [2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_power_train_0231 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -2],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 58 | math |
arithmetic_matrix_power_train_0232 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 0],\n [-1, 3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 41 | math |
arithmetic_matrix_power_train_0233 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [0, 3, -1],\n [0, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -14 | math |
arithmetic_matrix_power_train_0234 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, 0, -2],\n [0, 3, 2],\n [-2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 54 | math |
arithmetic_matrix_power_train_0235 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, 0],\n [2, 3, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 33 | math |
arithmetic_matrix_power_train_0236 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 0],\n [2, 0, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23 | math |
arithmetic_matrix_power_train_0237 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -2, 3],\n [0, 1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_power_train_0238 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2],\n [2, -1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 51 | math |
arithmetic_matrix_power_train_0239 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -1],\n [3, 3, 1],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 96 | math |
arithmetic_matrix_power_train_0240 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 2],\n [0, -2, -2],\n [2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 36 | math |
arithmetic_matrix_power_train_0241 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[2, 0, -1],\n [0, 2, 0],\n [-1, 0, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0242 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 2],\n [0, -3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 128 | math |
arithmetic_matrix_power_train_0243 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 3],\n [-2, 2, 3],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 63 | math |
arithmetic_matrix_power_train_0244 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, -2],\n [-2, -3, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 236 | math |
arithmetic_matrix_power_train_0245 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, -2],\n [2, 2, 1],\n [2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 83 | math |
arithmetic_matrix_power_train_0246 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[0, -2, 2],\n [-2, 2, 1],\n [2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 21 | math |
arithmetic_matrix_power_train_0247 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[3, 3, 1],\n [-2, -1, 3],\n [-3, 0, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -51 | math |
arithmetic_matrix_power_train_0248 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[2, 2, 2],\n [0, 2, 2],\n [0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 63 | math |
arithmetic_matrix_power_train_0249 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 3],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_power_train_0250 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -2],\n [3, 0, 2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 109 | math |
arithmetic_matrix_power_train_0251 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [0, 1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 35 | math |
arithmetic_matrix_power_train_0252 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [0, 1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 72 | math |
arithmetic_matrix_power_train_0253 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, 3],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_power_train_0254 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 2],\n [2, 3, -2],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_power_train_0255 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, -3, 1],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -5 | math |
arithmetic_matrix_power_train_0256 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -1, 3],\n [0, 3, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 31 | math |
arithmetic_matrix_power_train_0257 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[2, 3, 1],\n [3, -3, 0],\n [1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 504 | math |
arithmetic_matrix_power_train_0258 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, -2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_power_train_0259 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 1, 3],\n [3, -3, 2],\n [-3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_power_train_0260 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 2],\n [0, 1, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 23 | math |
arithmetic_matrix_power_train_0261 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[3, -2, -2],\n [0, 2, -1],\n [-2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 49 | math |
arithmetic_matrix_power_train_0262 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 0],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0263 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[3, 1, -1],\n [0, 1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_power_train_0264 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, 2, -1],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 24 | math |
arithmetic_matrix_power_train_0265 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 2, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 90 | math |
arithmetic_matrix_power_train_0266 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[1, -3, 2],\n [3, 1, 0],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_power_train_0267 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 50 | math |
arithmetic_matrix_power_train_0268 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, 3, -2],\n [2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 50 | math |
arithmetic_matrix_power_train_0269 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-2, -3, -1],\n [-2, 3, 0],\n [-2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 988 | math |
arithmetic_matrix_power_train_0270 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 1, 1],\n [3, 2, -3],\n [-1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -4 | math |
arithmetic_matrix_power_train_0271 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[3, 1, -2],\n [0, -2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_power_train_0272 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-2, -2, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -88 | math |
arithmetic_matrix_power_train_0273 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 2],\n [2, -1, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 26 | math |
arithmetic_matrix_power_train_0274 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -2, 2],\n [-2, 1, -2],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 34 | math |
arithmetic_matrix_power_train_0275 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -2],\n [-1, 0, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 258 | math |
arithmetic_matrix_power_train_0276 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[1, 3, -1],\n [1, 0, 3],\n [-1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 27 | math |
arithmetic_matrix_power_train_0277 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -3],\n [-2, -2, 0],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 133 | math |
arithmetic_matrix_power_train_0278 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2],\n [0, -1, 1],\n [-2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -29 | math |
arithmetic_matrix_power_train_0279 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 3],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 28 | math |
arithmetic_matrix_power_train_0280 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 1, -3],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 898 | math |
arithmetic_matrix_power_train_0281 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -1],\n [0, 3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 138 | math |
arithmetic_matrix_power_train_0282 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 2, -2],\n [0, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -8 | math |
arithmetic_matrix_power_train_0283 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0],\n [-3, 1, 3],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 411 | math |
arithmetic_matrix_power_train_0284 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 2, 2],\n [-2, 1, 0],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 2 | math |
arithmetic_matrix_power_train_0285 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[2, 2, 2],\n [0, -2, -3],\n [0, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
arithmetic_matrix_power_train_0286 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, -2],\n [0, 0, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -112 | math |
arithmetic_matrix_power_train_0287 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -2, 2],\n [-2, 1, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | -22 | math |
arithmetic_matrix_power_train_0288 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-1, -2, 2],\n [-2, -3, -2],\n [2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 963 | math |
arithmetic_matrix_power_train_0289 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-2, 3, 1],\n [0, 1, 2],\n [0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 50 | math |
arithmetic_matrix_power_train_0290 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -3, 1],\n [0, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 56 | math |
arithmetic_matrix_power_train_0291 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, -3, 2],\n [0, -1, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 1 | math |
arithmetic_matrix_power_train_0292 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -2],\n [2, 1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 185 | math |
arithmetic_matrix_power_train_0293 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[-3, 2, -2],\n [2, -1, 0],\n [-2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 67 | math |
arithmetic_matrix_power_train_0294 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[0, 3, 2],\n [0, -2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0295 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 1],\n [-1, -2, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 57 | math |
arithmetic_matrix_power_train_0296 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 3],\n [0, -1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 121 | math |
arithmetic_matrix_power_train_0297 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, -2, -1],\n [0, -3, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
arithmetic_matrix_power_train_0298 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[3, -2, 2],\n [-1, -3, -2],\n [1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 347 | math |
arithmetic_matrix_power_train_0299 | arithmetic_matrix_power | null | [
{
"role": "user",
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[2, 0, 0],\n [0, 1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 0 | math |
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