messages listlengths 1 1 | ground_truth stringlengths 1 6 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "What is the value at position (5, 1) of the matrix A^3 where A is:\n[[5, 2, 0, -2, 0],\n [2, -5, 0, 4, -2],\n [0, 0, 1, 0, 2],\n [-2, 4, 0, 4, -2],\n [0, -2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, -2, 0, -3],\n [0, 0, 0, 1, 0],\n [-2, 0, -4, -5, 0],\n [0, 1, -5, 5, 2],\n [-3, 0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 267 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -1, 3, -4, 1],\n [4, 2, -2, -5, -4],\n [1, 3, 4, 5, 1],\n [-4, 3, -5, -4, 4],\n [-1, 1, 4, -3, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -156 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, -3, -5, -4, 0],\n [0, 1, -5, 2, -3],\n [-2, 4, 1, -1, -1],\n [3, 2, 3, -4, -2],\n [-3, 1, -4, 4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 324 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 4, -3, -4, -1],\n [4, 3, 4, -4, -3],\n [-4, 1, -4, 3, -4],\n [-5, 0, -5, 0, 2],\n [-3, -1, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4626 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 3, 1, 2],\n [4, 2, -5, 1, -1],\n [-4, 1, -2, -3, -2],\n [2, 2, 0, 5, 3],\n [-4, -5, -5, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 231 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -1, 5, 5, -4],\n [1, -4, -3, -2, 4],\n [-3, 3, 2, -1, 2],\n [4, 2, 5, -4, -2],\n [-5, -3, -5, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 102 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, -4, 0, 5],\n [-3, 2, -5, 1, 5],\n [-4, 2, -5, 4, -3],\n [-2, 4, 5, 2, -3],\n [2, 0, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 486 | MATH |
[
{
"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 2, 1, -1, 3],\n [2, 0, -2, -2, 0],\n [1, -2, -3, 1, 0],\n [-1, -2, 1, -5, 0],\n [3, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 40 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, -5, 3, -4],\n [2, 3, 1, -1, 1],\n [-4, -5, -2, -5, -5],\n [0, 3, -3, 1, 2],\n [-2, 5, 4, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 149 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 2, 4, 0, 0],\n [2, 2, 2, 4, 3],\n [4, 2, -4, -1, 0],\n [0, 4, -1, 2, 2],\n [0, 3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, -5, 4],\n [-1, 0, -1, -4, -1],\n [3, 5, 3, -5, 5],\n [1, -1, 4, 4, 2],\n [0, -3, 0, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 111 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, -1, 4, -5],\n [-5, 0, -5, 2, 1],\n [2, -2, 5, -5, 4],\n [2, 5, -2, -4, -4],\n [2, 3, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23015 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[5, 4, 0, -3, -2],\n [4, 1, 2, 3, 0],\n [0, 2, 0, -1, 0],\n [-3, 3, -1, 5, 3],\n [-2, 0, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 995 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 2th power of the matrix:\n[[-4, 4, 2, -1, 4],\n [4, 2, 2, -2, -4],\n [2, 2, 1, 0, 0],\n [-1, -2, 0, 5, 3],\n [4, -4, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-5, -1, -1, -5, -2],\n [-1, -5, 4, -2, -1],\n [-1, 4, 3, -2, 3],\n [-5, -2, -2, 0, 0],\n [-2, -1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2096 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 1, 2, 4],\n [-2, 4, 4, 0, 0],\n [1, 4, 1, -1, -3],\n [2, 0, -1, -1, 2],\n [4, 0, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2512 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 0, -3],\n [0, -4, 1, 4, 3],\n [-5, -3, 3, 3, -5],\n [5, -1, 5, 2, -5],\n [1, 0, 4, -5, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -283 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-4, 0, -2, 0, 1],\n [0, -1, 4, 4, -3],\n [-2, 4, 5, 0, -2],\n [0, 4, 0, 2, 0],\n [1, -3, -2, 0, 5]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[1, 1, -5, -5, -2],\n [0, 4, -2, -3, -3],\n [4, 3, 2, 1, 3],\n [-2, 4, 1, -3, 4],\n [0, 1, -5, 2, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 414 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 5, 5],\n [5, -1, 1, 4, -1],\n [4, -4, -5, -4, 3],\n [2, -1, 3, 4, 4],\n [5, -5, -3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -938 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -5, 4, -1, -4],\n [3, 4, -1, -2, 3],\n [-3, 3, 5, 0, -5],\n [-4, 1, 2, -4, 5],\n [-2, 4, 1, 5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 111 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[5, -2, 1, 2, 1],\n [0, 4, 1, 1, -1],\n [-2, -3, -3, -4, 1],\n [-4, -1, -1, -1, -4],\n [-4, -3, 5, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -43 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 0, 2],\n [2, -2, 1, 3, 0],\n [2, 1, 4, -2, 4],\n [0, 3, -2, -1, -2],\n [2, 0, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15706 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, -3, 0],\n [0, 4, 3, 0, -3],\n [0, 3, -1, -2, 1],\n [-3, 0, -2, -5, -2],\n [0, -3, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 42 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -2, 5],\n [-1, 1, -1, 0, -2],\n [5, 1, -2, 5, 1],\n [-2, -4, 5, -5, -4],\n [-1, -1, 1, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4179 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 4, 0, -2, -3],\n [4, 4, 1, 4, 0],\n [0, 1, 2, -2, 2],\n [-2, 4, -2, -3, 4],\n [-3, 0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 924 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-5, -2, -3, 2, -2],\n [-2, 4, 1, 4, 0],\n [-3, 1, -2, 2, 2],\n [2, 4, 2, -4, 0],\n [-2, 0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3556 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 2th power of the matrix:\n[[5, 2, 0, -5, -3],\n [0, 2, 1, 2, 4],\n [-3, 4, 5, 4, -2],\n [0, 4, 5, 1, -2],\n [2, -3, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[4, 1, 0, 0, 4],\n [1, 2, 1, 5, -1],\n [0, 1, -5, -4, 2],\n [0, 5, -4, -3, 2],\n [4, -1, 2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 526 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, -4, -2, -1],\n [3, 0, 0, 2, 1],\n [-4, 0, 2, -1, -2],\n [-2, 2, -1, 0, -2],\n [-1, 1, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8866 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -1, -4, 0],\n [0, 3, 2, 2, -4],\n [-1, 2, 4, 2, 0],\n [-4, 2, 2, 5, 0],\n [0, -4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 124 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[0, -4, 2, -2, 1],\n [-4, 1, -4, -2, 3],\n [2, -4, -3, 2, -2],\n [-2, -2, 2, 4, -2],\n [1, 3, -2, -2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 95 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -5, -2, 1],\n [4, -1, 2, 3, -3],\n [-2, -2, 4, 0, 1],\n [4, -4, -3, 0, -5],\n [-3, 3, -5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 261 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 0, -5, 1, -1],\n [1, -2, 5, 3, -4],\n [-2, -3, 2, 2, -2],\n [4, -4, 3, 3, 1],\n [4, -4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -113 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, -4, 4, -5, -5],\n [-2, 0, 2, -2, -5],\n [5, -3, -3, 4, 2],\n [-5, -2, 4, 4, -2],\n [-5, 4, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 207 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 5) of the result:\nA =\n[[-2, -1, -1, -4, -1],\n [-4, -3, 3, 5, 2],\n [1, 4, 1, -1, -3],\n [-3, 5, -2, 1, -2],\n [-1, -2, -5, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -721 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 0, -2, 4],\n [-1, -2, 4, -1, 0],\n [0, 4, -3, 4, -2],\n [-2, -1, 4, 5, -3],\n [4, 0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 535 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 2, -1, -5],\n [2, -5, 2, 2, 0],\n [2, 2, -5, 4, -3],\n [-1, 2, 4, -1, 1],\n [-5, 0, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 32544 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, -2, 3, 0],\n [-4, 3, 2, 4, -4],\n [-2, 2, -4, 4, 3],\n [3, 4, 4, -4, 4],\n [0, -4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 79168 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, -3, 2, 1],\n [-2, -5, 1, 3, -4],\n [2, 0, 4, 5, 1],\n [-1, 1, -2, 3, 2],\n [0, -5, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-4, 0, -1, -2, -3],\n [1, 3, 3, -2, -1],\n [5, 5, 1, -3, -1],\n [1, 4, -5, 5, 2],\n [-5, 5, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 202 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, -5, -2, 3, 2],\n [5, 0, 1, 4, -2],\n [-1, 0, 2, -3, 1],\n [-4, -3, -4, -4, -4],\n [2, -1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-5, 0, -1, -2, -4],\n [0, 2, -2, -2, 0],\n [-1, -2, -5, -5, 2],\n [-2, -2, -5, -2, 0],\n [-4, 0, 2, 0, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 2, -2, -3],\n [-1, 3, -2, -1, 4],\n [2, -2, -2, -2, 0],\n [-2, -1, -2, 1, 2],\n [-3, 4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, 3, 3, -1],\n [5, 0, -5, 4, 4],\n [-4, -3, 3, -2, 0],\n [3, 1, 2, 4, -2],\n [3, -2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9740 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, 2, 0, 4, -2],\n [2, 3, -4, 3, 2],\n [0, -4, 3, -2, 0],\n [4, 3, -2, -4, -1],\n [-2, 2, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3331 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -4, 2, 5],\n [2, 5, -2, -3, 2],\n [3, 2, 0, 4, -4],\n [-2, 1, -1, 4, 3],\n [1, -3, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 341 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[5, -4, -4, 3, 1],\n [-2, -1, -3, -4, 2],\n [-4, -1, -3, -3, -1],\n [1, -2, -2, 1, -2],\n [-2, 4, -2, 1, 1]], determine the value at position (5, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 4, 4, 2, -5],\n [5, 1, -2, -3, 4],\n [-5, 2, -4, 3, -4],\n [0, 5, -2, -3, 5],\n [-4, 2, 2, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 84 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, 0, -1, -2, 3],\n [0, -4, -1, 0, 4],\n [-1, -1, 5, 3, -2],\n [-2, 0, 3, 5, 0],\n [3, 4, -2, 0, 2]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -221 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, 0, 5, 4],\n [3, 0, 3, -1, -4],\n [2, 5, -2, 1, 3],\n [-1, 0, -5, -5, 0],\n [2, 2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 343 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, -3, -1, 0, 1],\n [0, -1, -3, 5, -3],\n [2, 2, 2, -1, -3],\n [-4, -3, -2, -3, 5],\n [-4, 0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -139 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, 5, -5, -5],\n [0, 1, -3, -3, -2],\n [3, 2, 0, -3, -2],\n [2, 5, 3, 4, 4],\n [-3, 1, -3, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -51 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 2, 2],\n [-1, -5, -2, -2, -2],\n [2, -2, 1, 4, 3],\n [2, -2, 4, 3, -3],\n [2, -2, 3, -3, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -3, 5, -3],\n [1, -1, -3, 4, 5],\n [1, -2, 0, -1, -3],\n [-3, 1, 5, 0, 5],\n [-3, 2, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -423 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -1, -4, -1],\n [-1, -1, -1, 1, 4],\n [-5, -4, 3, -4, 4],\n [-2, -1, 3, -3, -3],\n [-3, -5, -3, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 2469 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, -5, -1, -4],\n [1, -1, 5, 0, 0],\n [-2, -4, 4, -1, 2],\n [5, -4, 2, 5, -4],\n [-1, -4, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 311 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-5, 2, 0, -1, -1],\n [2, -4, 0, -2, 4],\n [0, 0, 5, -2, 0],\n [-1, -2, -2, 5, 1],\n [-1, 4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0, -2, -2],\n [0, 4, -2, 2, -2],\n [0, -2, 3, 1, 2],\n [-2, 2, 1, 4, -4],\n [-2, -2, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 138 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[4, -1, 0, -1, 2],\n [5, 4, 3, 1, 4],\n [-1, 1, 3, -4, 4],\n [-2, 5, -2, 3, 3],\n [-2, 3, 2, -5, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 534 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, -3, -2, -2],\n [-5, -2, 0, 4, 3],\n [2, 1, -4, 3, 1],\n [4, 0, -3, 4, 2],\n [2, -3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1904 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^4 where A is:\n[[-3, -1, 5, 1, 4],\n [-4, -2, 5, -5, 5],\n [-2, -5, 3, -2, -3],\n [-1, 2, 1, 5, -3],\n [0, -2, 5, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -757 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, 2, -3, -4],\n [-4, -1, 2, -2, 2],\n [2, -3, -2, -2, -5],\n [-1, -5, 1, -2, 0],\n [-1, -2, 0, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 355 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-5, 5, 2, -4, 4],\n [5, 4, -4, -5, 4],\n [-2, 4, 2, -3, 3],\n [5, 0, -2, 3, -4],\n [1, 3, -5, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2462 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 5, 1, -5, 2],\n [1, -4, -5, -1, 2],\n [-1, 1, 3, 0, 5],\n [4, -4, 5, -3, 4],\n [-1, 4, 4, 5, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36502 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -5, 5, 0],\n [0, 5, 1, 4, 5],\n [0, -5, 0, -2, -3],\n [5, -5, -3, -1, -3],\n [-4, 3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 413 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-3, -4, 2, 1, 0],\n [-4, -4, 0, 0, -2],\n [2, 0, -5, -4, 0],\n [1, 0, -4, 3, -2],\n [0, -2, 0, -2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 3, 1, -1, 3],\n [3, 4, 1, 4, 1],\n [3, -4, 5, -4, 1],\n [-4, 3, 2, 3, -3],\n [2, 3, 5, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23142 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[1, -1, 0, 3, 5],\n [1, 5, 2, 0, -5],\n [-2, 1, -4, -1, 3],\n [2, -1, 4, -4, -3],\n [-3, 5, -2, 2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -2, 0, 4, 4],\n [-2, 3, -2, -2, 0],\n [0, -2, 4, -2, -1],\n [4, -2, -2, -1, -2],\n [4, 0, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 445 | MATH |
[
{
"content": "What is the value at position (2, 5) of the matrix A^2 where A is:\n[[5, 2, 0, 0, 0],\n [2, -5, 2, -2, 4],\n [0, 2, 3, -2, -2],\n [0, -2, -2, 5, -4],\n [0, 4, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^2 where A is:\n[[0, 2, 2, 0, 2],\n [2, 4, 0, -2, 0],\n [2, 0, -5, -2, 4],\n [0, -2, -2, -3, -2],\n [2, 0, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 3, 5, 4],\n [-2, -3, -3, -2, -5],\n [-5, -3, -5, 5, -5],\n [-1, -3, -4, -1, 5],\n [4, -4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -159 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-5, -2, 5, 2, 4],\n [4, -2, -3, -1, -1],\n [-5, 3, -4, -2, -5],\n [2, 1, 1, 1, 0],\n [-5, 0, 5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -766 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the value at position (4, 5) of the result:\nA =\n[[-5, 4, 0, 0, 4],\n [4, -1, 0, 4, 0],\n [0, 0, 2, 0, -4],\n [0, 4, 0, 5, 3],\n [4, 0, -4, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-5, 2, -2, -2, -3],\n [2, -4, 0, 2, 1],\n [0, 5, 5, 4, 4],\n [-3, 2, 0, 2, -2],\n [0, 3, 3, -2, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 451 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -4, 3],\n [0, -5, 4, 2, -2],\n [0, 4, 0, -4, -4],\n [-4, 2, -4, 3, 4],\n [3, -2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5366 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, 2, -2, 2],\n [1, -5, 1, -2, -4],\n [3, 3, 3, 1, 2],\n [-5, -3, 1, -2, -3],\n [-4, 2, 0, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4095 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, -3, 2, 4],\n [5, 0, -2, -2, 5],\n [0, 1, 4, -2, -2],\n [0, -3, 1, -3, -1],\n [5, 2, -5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -662 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-5, -3, 1, 3, 1],\n [-3, -3, 1, 0, -4],\n [1, 1, -4, -2, -2],\n [3, 0, -2, -1, 2],\n [1, -4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -680 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-3, -4, 5, -2, -5],\n [-4, -3, 2, 1, -3],\n [-2, -3, -3, -4, 4],\n [-5, 4, -4, 5, 4],\n [-3, -2, 1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 191 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -5, 3, -2, -2],\n [-3, -4, -3, -2, -3],\n [5, 3, -5, 0, 3],\n [-5, 5, 4, -2, -2],\n [-5, -3, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 30147 | MATH |
[
{
"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 5, -2, -2],\n [-1, -3, -2, -2, 1],\n [0, 1, -2, 3, 1],\n [3, -5, 2, 1, 3],\n [-4, -5, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 302 | MATH |
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, -1, 2],\n [0, 1, 4, 0, 0],\n [-4, 4, 5, -1, -2],\n [-1, 0, -1, -2, 0],\n [2, 0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2738 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 1, 1, -3, -5],\n [-4, 5, 1, 5, 3],\n [3, 4, 4, 3, 2],\n [-2, -4, 1, -5, -4],\n [-4, -5, 0, 3, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 22 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-4, 1, 5, 5, -2],\n [1, -2, -2, 0, 2],\n [5, -2, 2, 4, 0],\n [5, 0, 4, 4, 2],\n [-2, 2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 333 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -2, -4],\n [-1, -1, 0, 4, 0],\n [-4, 0, 4, 1, 2],\n [-2, 4, 1, 3, 3],\n [-4, 0, 2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 37319 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-5, 0, 5, -3, -5],\n [1, -4, -3, -4, 3],\n [-5, 4, 4, 1, 3],\n [1, -3, 2, -5, -4],\n [4, -3, -5, -3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 217 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, -3, 0],\n [-4, -1, 0, 0, 0],\n [0, 0, 5, 0, 0],\n [-3, 0, 0, 3, 4],\n [0, 0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10099 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, 5, 2, 2, -2],\n [5, 3, -2, 0, 2],\n [2, -2, -4, 0, -3],\n [2, 0, 0, -4, 2],\n [-2, 2, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 123 | MATH |
[
{
"content": "For the matrix power A^3 where A =\n[[5, 0, -2, -1, 2],\n [0, -1, 3, -3, 0],\n [4, -3, -3, -5, -2],\n [5, -5, 1, 5, -3],\n [4, 1, 4, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3294 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-5, 2, 4, 2, 3],\n [2, -4, -2, 4, -1],\n [4, -2, 1, 0, -2],\n [2, 4, 0, -1, 3],\n [3, -1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4294 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -3, 5, -1],\n [2, -2, -2, 0, 0],\n [-3, -2, 1, 4, -3],\n [5, 0, 4, -2, 0],\n [-1, 0, -3, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 24253 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, 5, 1, -1, 0],\n [0, -1, -5, 1, -1],\n [-5, 1, 5, 4, -3],\n [0, 0, -2, -2, 3],\n [1, 3, 1, 1, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2279 | MATH |
[
{
"content": "For the matrix power A^2 where A =\n[[-2, -2, -1, 2, -2],\n [-2, 2, 4, -2, 0],\n [-1, 4, -5, -2, -2],\n [2, -2, -2, 0, -2],\n [-2, 0, -2, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 202 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -2, 0, 4],\n [2, 1, 2, 2, -1],\n [-2, 2, -2, 1, 0],\n [0, 2, 1, -2, 2],\n [4, -1, 0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3970 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 2, 2, -4],\n [-1, 3, 0, -2, -2],\n [2, 0, 3, 0, -4],\n [2, -2, 0, 2, -2],\n [-4, -2, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 90 | MATH |
[
{
"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 2, 1, -3],\n [0, 5, 0, -1, -1],\n [2, 0, 5, 2, -1],\n [1, -1, 2, 2, 2],\n [-3, -1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 119 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -1, -3],\n [0, 0, -5, 1, 0],\n [-2, -5, -3, -3, 0],\n [-1, 1, -3, -3, 3],\n [-3, 0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12341 | MATH |
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