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_0000
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[0, 2, 1],\n [2, -2, 0],\n [1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
321
|
math
|
arithmetic_matrix_power_train_0001
|
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, 2, -3],\n [3, -2, -2],\n [-2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
392
|
math
|
arithmetic_matrix_power_train_0002
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -2, 0],\n [0, 1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
81
|
math
|
arithmetic_matrix_power_train_0003
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-3, 1, -1],\n [2, -1, -1],\n [-1, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
265
|
math
|
arithmetic_matrix_power_train_0004
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 1],\n [0, -1, -3],\n [1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
323
|
math
|
arithmetic_matrix_power_train_0005
|
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[[2, 2, 2],\n [2, 2, -2],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
576
|
math
|
arithmetic_matrix_power_train_0006
|
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, 3, 2],\n [-1, -1, 0],\n [3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
153
|
math
|
arithmetic_matrix_power_train_0007
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 1],\n [-2, 3, 2],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
726
|
math
|
arithmetic_matrix_power_train_0008
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, -2, -1],\n [0, -2, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0009
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -1],\n [0, -1, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-30
|
math
|
arithmetic_matrix_power_train_0010
|
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[[2, -3, 1],\n [0, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
48
|
math
|
arithmetic_matrix_power_train_0011
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-3, 0, 3],\n [-1, 3, 1],\n [3, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
449
|
math
|
arithmetic_matrix_power_train_0012
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, -3, 3],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_power_train_0013
|
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, 1, -1],\n [1, 2, 2],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
47
|
math
|
arithmetic_matrix_power_train_0014
|
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 [3, -2, -2],\n [3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
447
|
math
|
arithmetic_matrix_power_train_0015
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, -2],\n [0, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-15
|
math
|
arithmetic_matrix_power_train_0016
|
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, 1, 2],\n [0, 3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
353
|
math
|
arithmetic_matrix_power_train_0017
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, -3, -2],\n [0, 1, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
3
|
math
|
arithmetic_matrix_power_train_0018
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, 2, -3],\n [0, -1, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-8
|
math
|
arithmetic_matrix_power_train_0019
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, -1, 0],\n [-1, -1, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0020
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, 0],\n [2, -3, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_power_train_0021
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, -3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-3
|
math
|
arithmetic_matrix_power_train_0022
|
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, -2, -2],\n [-2, -2, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4106
|
math
|
arithmetic_matrix_power_train_0023
|
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, 3, -1],\n [2, -1, 1],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
37
|
math
|
arithmetic_matrix_power_train_0024
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 0, 0],\n [0, 1, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0025
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, -3, 1],\n [-2, -1, 0],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1
|
math
|
arithmetic_matrix_power_train_0026
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-2, 0, 0],\n [2, 2, -1],\n [0, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_power_train_0027
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[-2, 1, -3],\n [0, 0, 2],\n [0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
10
|
math
|
arithmetic_matrix_power_train_0028
|
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, 0, 0],\n [0, -3, 3],\n [0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1
|
math
|
arithmetic_matrix_power_train_0029
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-3, -1, -1],\n [1, 3, 3],\n [1, 1, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
109
|
math
|
arithmetic_matrix_power_train_0030
|
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, 3],\n [0, 1, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
46
|
math
|
arithmetic_matrix_power_train_0031
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[1, 3, 1],\n [-3, -1, 3],\n [-1, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-205
|
math
|
arithmetic_matrix_power_train_0032
|
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, 0, 0],\n [0, -1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0033
|
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[[2, -2, 0],\n [-2, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
576
|
math
|
arithmetic_matrix_power_train_0034
|
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, -3, 0],\n [-3, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
arithmetic_matrix_power_train_0035
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[-3, -3, 1],\n [0, 3, -1],\n [0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
16
|
math
|
arithmetic_matrix_power_train_0036
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[3, 2, 0],\n [-3, -1, -2],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-4
|
math
|
arithmetic_matrix_power_train_0037
|
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, 2, -1],\n [0, -3, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
69
|
math
|
arithmetic_matrix_power_train_0038
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, 3, -3],\n [0, 2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0039
|
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, -2, 0],\n [-2, 1, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
261
|
math
|
arithmetic_matrix_power_train_0040
|
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, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
773
|
math
|
arithmetic_matrix_power_train_0041
|
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, -2, 0],\n [-2, 2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
145
|
math
|
arithmetic_matrix_power_train_0042
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -2],\n [0, -1, 2],\n [-2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
35
|
math
|
arithmetic_matrix_power_train_0043
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-27
|
math
|
arithmetic_matrix_power_train_0044
|
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, 2],\n [0, -3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
83
|
math
|
arithmetic_matrix_power_train_0045
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 2],\n [-1, -1, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
46
|
math
|
arithmetic_matrix_power_train_0046
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[1, -3, 3],\n [0, 0, 3],\n [0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-8
|
math
|
arithmetic_matrix_power_train_0047
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[2, -3, -2],\n [0, 3, 1],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-30
|
math
|
arithmetic_matrix_power_train_0048
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[3, -2, -2],\n [-2, 0, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0049
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 3],\n [0, 3, 1],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-690
|
math
|
arithmetic_matrix_power_train_0050
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 1, -3],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-77
|
math
|
arithmetic_matrix_power_train_0051
|
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, 0, -2],\n [0, 0, 1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
5
|
math
|
arithmetic_matrix_power_train_0052
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [0, 2, 0],\n [0, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_power_train_0053
|
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, 0],\n [3, 0, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0054
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -2, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0055
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-3, -3, 3],\n [-3, 0, 1],\n [-3, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
801
|
math
|
arithmetic_matrix_power_train_0056
|
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, -1, 2],\n [-1, 0, -2],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
35
|
math
|
arithmetic_matrix_power_train_0057
|
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, -1],\n [-2, 2, 0],\n [-1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
136
|
math
|
arithmetic_matrix_power_train_0058
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^4 where A =\n[[-2, 1, -2],\n [0, 2, 0],\n [0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
63
|
math
|
arithmetic_matrix_power_train_0059
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -2, 3],\n [0, 0, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-18
|
math
|
arithmetic_matrix_power_train_0060
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[2, 1, -2],\n [1, -2, 0],\n [1, -3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-1
|
math
|
arithmetic_matrix_power_train_0061
|
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[[0, 2, 3],\n [2, -2, 0],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
1085
|
math
|
arithmetic_matrix_power_train_0062
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, 3, 2],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0063
|
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, 2],\n [2, 0, 2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
480
|
math
|
arithmetic_matrix_power_train_0064
|
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, -1, 2],\n [0, 2, 1],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
423
|
math
|
arithmetic_matrix_power_train_0065
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [2, 3, 1],\n [-2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
40
|
math
|
arithmetic_matrix_power_train_0066
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [2, 1, -3],\n [-3, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
88
|
math
|
arithmetic_matrix_power_train_0067
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 2],\n [2, 3, -1],\n [3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
47
|
math
|
arithmetic_matrix_power_train_0068
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 2, 0],\n [0, 3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
8
|
math
|
arithmetic_matrix_power_train_0069
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1],\n [0, -1, 3],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
486
|
math
|
arithmetic_matrix_power_train_0070
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 2, -1],\n [2, 2, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2
|
math
|
arithmetic_matrix_power_train_0071
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [-1, 1, 1],\n [1, 1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
7
|
math
|
arithmetic_matrix_power_train_0072
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, -2, -1],\n [-3, 1, -2],\n [-3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
91
|
math
|
arithmetic_matrix_power_train_0073
|
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, 1],\n [0, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
163
|
math
|
arithmetic_matrix_power_train_0074
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -2, -1],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0075
|
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, 3, 2],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
72
|
math
|
arithmetic_matrix_power_train_0076
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -3, -2],\n [1, -2, -1],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-2
|
math
|
arithmetic_matrix_power_train_0077
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2],\n [0, 3, -1],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
252
|
math
|
arithmetic_matrix_power_train_0078
|
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, -2, 3],\n [1, 3, -2],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
250
|
math
|
arithmetic_matrix_power_train_0079
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^3 where A =\n[[1, -1, 2],\n [-1, 3, 0],\n [2, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-10
|
math
|
arithmetic_matrix_power_train_0080
|
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[[2, 2, -2],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-12
|
math
|
arithmetic_matrix_power_train_0081
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, 2, 1],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
81
|
math
|
arithmetic_matrix_power_train_0082
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -3, 0],\n [-3, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-336
|
math
|
arithmetic_matrix_power_train_0083
|
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, -2, -1],\n [0, 2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0084
|
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, 2, 1],\n [0, -2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
42
|
math
|
arithmetic_matrix_power_train_0085
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3],\n [-3, -3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
287
|
math
|
arithmetic_matrix_power_train_0086
|
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[[2, 3, 3],\n [1, 3, -2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
2221
|
math
|
arithmetic_matrix_power_train_0087
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [3, 1, -1],\n [2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-1
|
math
|
arithmetic_matrix_power_train_0088
|
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, -2, 0],\n [0, 1, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0089
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3],\n [3, 1, 0],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
56
|
math
|
arithmetic_matrix_power_train_0090
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 2, 2],\n [2, 1, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
17
|
math
|
arithmetic_matrix_power_train_0091
|
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, -3, -3],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
25
|
math
|
arithmetic_matrix_power_train_0092
|
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, 0, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
-54
|
math
|
arithmetic_matrix_power_train_0093
|
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, 0, 0],\n [0, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
18
|
math
|
arithmetic_matrix_power_train_0094
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -3, 0],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0095
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 2, 3],\n [0, -3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
0
|
math
|
arithmetic_matrix_power_train_0096
|
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, 0, 3],\n [2, 0, 2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
48
|
math
|
arithmetic_matrix_power_train_0097
|
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, -1, 1],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
4
|
math
|
arithmetic_matrix_power_train_0098
|
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, -3, -2],\n [1, -1, 0],\n [-1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
37
|
math
|
arithmetic_matrix_power_train_0099
|
arithmetic_matrix_power
| null |
[
{
"role": "user",
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 1, 0],\n [1, -1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] |
32
|
math
|
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