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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