messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-6, -3, 2, 0, -4, -2],\n [-3, -4, 0, 5, 0, -3],\n [2, 0, 1, 3, -2, 2],\n [0, 5, 3, 6, 2, 0],\n [-4, 0, -2, 2, 1, 2],\n [-2, -3, 2, 0, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -58485 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-2, 4, -2, -2, 4, -1],\n [4, -5, -4, 2, 1, -2],\n [-2, -4, -2, 0, -2, -4],\n [-2, 2, 0, -2, -2, -2],\n [4, 1, -2, -2, 1, 5],\n [-1, -2, -4, -2, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -29074 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[0, 4, 4, 4, 2, 2],\n [4, 4, 2, -2, 0, 4],\n [4, 2, 0, -4, 0, 4],\n [4, -2, -4, 0, 4, -2],\n [2, 0, 0, 4, 6, -6],\n [2, 4, 4, -2, -6, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 4557301 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -1, 2, -4, 0, -1],\n [-1, 1, -2, -2, 5, 2],\n [2, -2, -3, 0, 3, 4],\n [-4, -2, 0, 0, 1, 2],\n [0, 5, 3, 1, -3, 0],\n [-1, 2, 4, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 5426 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, -2, 2, 0],\n [2, -1, 4, 2, -6, 4],\n [0, 4, -6, 2, 0, 4],\n [-2, 2, 2, 2, 1, 2],\n [2, -6, 0, 1, -1, 4],\n [0, 4, 4, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11504 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -5, -1, -1, -5, -3],\n [1, 1, 6, 1, 1, -6],\n [-5, 5, -3, 5, 2, -4],\n [-1, 0, 1, 6, 0, -4],\n [-1, -2, 6, 5, 3, -3],\n [-6, 6, 0, 1, -5, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 84629 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -2, 6, 0, -2, 0],\n [-2, -2, 0, 2, 0, 2],\n [6, 0, 2, 5, 1, -4],\n [0, 2, 5, -6, 1, 0],\n [-2, 0, 1, 1, 0, 0],\n [0, 2, -4, 0, 0, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -6025 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^5 where A is:\n[[-6, 2, 5, -3, 5, -1],\n [6, 0, 1, 5, 6, 4],\n [2, 2, 1, 3, 4, 5],\n [5, -4, 5, -5, -2, -6],\n [-4, -6, 6, -4, 6, -3],\n [0, 5, 5, -2, -2, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 7453 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-6, 1, 6, -3, 3, -2],\n [-5, 5, 6, -6, 2, -5],\n [-1, -6, -6, 2, -3, 2],\n [4, -2, 0, -6, -1, 1],\n [-6, 2, -4, -6, -6, 6],\n [4, -1, 4, -1, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -63004 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 2, -1, 1, -2, 6],\n [2, -3, -4, -2, 0, 0],\n [-1, -4, -3, -2, 0, 0],\n [1, -2, -2, -3, 4, -2],\n [-2, 0, 0, 4, -3, 1],\n [6, 0, 0, -2, 1, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 57546 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[5, -1, -2, 1, 0, 0],\n [-1, -5, 2, 2, -2, 0],\n [-2, 2, 5, -2, -2, -4],\n [1, 2, -2, 4, -4, 0],\n [0, -2, -2, -4, -5, -2],\n [0, 0, -4, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -9338 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[5, 1, 0, -1, -5, -1],\n [6, 5, 4, 2, -5, -6],\n [4, 6, -2, 4, -1, -4],\n [1, 0, -5, 5, 0, -6],\n [2, 6, 0, -1, 6, -5],\n [-4, -6, 3, 6, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 146402 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, 0, 0, 4, -2, -1],\n [0, 5, -2, 1, -1, 1],\n [0, -2, -2, 1, 1, 0],\n [4, 1, 1, -1, -4, -2],\n [-2, -1, 1, -4, 0, -2],\n [-1, 1, 0, -2, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 61046 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-6, 0, -4, 2, 3, 4],\n [0, -5, 5, 2, 3, 0],\n [-4, 5, 1, 5, -5, 4],\n [2, 2, 5, -5, 2, -2],\n [3, 3, -5, 2, 6, 2],\n [4, 0, 4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 9982 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, -6, -3, -2, 5, 0],\n [-3, 3, 5, -6, 4, 3],\n [0, -5, 6, 4, -5, 1],\n [5, 3, 3, 3, -2, 3],\n [-5, -2, 1, -1, -4, 1],\n [2, -2, 6, -5, -5, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 337562 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-6, 3, 5, -5, 3, -3],\n [-6, -3, 6, 5, 4, 6],\n [3, -2, 2, -6, 5, -2],\n [-5, 2, -1, -5, -4, 1],\n [-6, 5, -4, 6, 3, -6],\n [4, 4, 1, -6, 6, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 136091 | MATH |
[
{
"content": "What is the value at position (6, 3) of the matrix A^5 where A is:\n[[-3, 0, -2, 1, 5, 4],\n [-6, -2, -3, -4, -2, 3],\n [-4, 1, 6, -4, -6, 2],\n [2, -1, 3, -6, 1, -5],\n [2, 1, -4, 6, -2, 2],\n [6, -6, 2, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 759 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 5, 0, -2, 1, -2],\n [5, -3, -2, -4, 3, 2],\n [0, -2, -4, -5, 0, -3],\n [-2, -4, -5, -4, 0, 0],\n [1, 3, 0, 0, 6, -4],\n [-2, 2, -3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed... | 1045452 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^5 where A is:\n[[-1, -2, -1, 2, 0, 3],\n [-2, -3, -1, 6, -2, -1],\n [-1, -1, -4, 4, 1, 4],\n [2, 6, 4, 2, 4, 2],\n [0, -2, 1, 4, 0, -2],\n [3, -1, 4, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 25910 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 5, 4, -2, 5, -5],\n [6, -1, -4, -1, 5, -2],\n [-5, 5, 6, -2, -2, 2],\n [4, 1, 5, 5, 0, 5],\n [6, -4, 3, -3, -1, -4],\n [4, 2, 1, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 482008 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 4, -4, 3, 1, -6],\n [-4, 4, -2, -2, 3, -5],\n [3, 1, -2, 0, 0, -2],\n [1, 2, -3, -3, 1, -6],\n [-3, -1, 6, -3, -1, -2],\n [2, 3, 2, -3, 6, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 19265 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[5, 1, 3, -3, -5, 6],\n [6, -5, -6, -2, -1, 2],\n [-2, 6, -1, -1, -4, 5],\n [-3, -6, -3, -6, -2, 4],\n [4, 1, 1, -2, 3, -5],\n [5, -1, -6, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 16476 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 4, -6, 2, 3],\n [-3, 1, -2, 4, 1, -6],\n [1, 4, 6, 4, -3, -5],\n [4, -1, -5, -2, -5, -4],\n [4, -1, -6, -1, -4, 0],\n [-5, -1, 1, -6, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 50127 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[6, 0, 0, -3, 4, 3],\n [0, -1, 0, 1, 1, -2],\n [0, 0, 4, 3, 0, -2],\n [-3, 1, 3, 4, -4, -2],\n [4, 1, 0, -4, 4, 4],\n [3, -2, -2, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 195911 | MATH |
[
{
"content": "Find the value at position (6, 1) of the 5th power of the matrix:\n[[3, 2, 0, 4, 4, 2],\n [2, 3, -2, 4, 4, 2],\n [0, -2, -1, -3, 0, 1],\n [4, 4, -3, -5, -2, 0],\n [4, 4, 0, -2, 3, 3],\n [2, 2, 1, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 61200 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 4, -5, 6, -3, -6],\n [-4, 4, 2, 0, 0, -6],\n [0, 3, 0, -3, 0, 1],\n [-4, 6, 3, -5, 0, -2],\n [-2, -2, 0, 2, 4, 1],\n [-1, 0, 2, 4, -1, -6]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 1540 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -2, -2, 1],\n [2, -4, 0, 0, -2, -5],\n [0, 0, -2, 0, 0, -2],\n [-2, 0, 0, -1, 1, -2],\n [-2, -2, 0, 1, 6, 2],\n [1, -5, -2, -2, 2, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 43242 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 5th power of the matrix:\n[[0, 2, 3, 2, -3, 0],\n [2, 2, 0, 2, -1, -2],\n [3, 0, -3, 0, 2, -3],\n [2, 2, 0, 2, 0, 2],\n [-3, -1, 2, 0, -2, -4],\n [0, -2, -3, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3168 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-3, 2, 2, 4, -2, -6],\n [2, -3, 0, 0, -2, -1],\n [2, 0, 4, 2, 4, 2],\n [4, 0, 2, -2, 4, -2],\n [-2, -2, 4, 4, -2, -3],\n [-6, -1, 2, -2, -3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -561837 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^4 where A is:\n[[2, 1, 3, -4, -3, 1],\n [1, 0, 2, -4, 1, -4],\n [3, 2, -1, 3, 2, 0],\n [-4, -4, 3, -5, 4, -2],\n [-3, 1, 2, 4, 2, 3],\n [1, -4, 0, -2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 6020 | MATH |
[
{
"content": "What is the value at position (6, 3) of the matrix A^5 where A is:\n[[-2, 4, -2, -2, 3, -4],\n [4, -1, 2, 2, -4, -4],\n [-2, 2, -5, 1, -1, -2],\n [-2, 2, 1, 4, -3, -2],\n [3, -4, -1, -3, 0, 0],\n [-4, -4, -2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | -17122 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[6, -5, -6, -6, 6, 4],\n [-3, 3, 6, -5, -6, -1],\n [-3, 3, 6, 5, 0, 4],\n [-1, -2, 3, 5, 6, 5],\n [5, 5, -5, -2, 2, 2],\n [-5, 0, 3, -3, 6, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 5456160 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-4, 4, -6, -4, 4, 2],\n [2, 0, -4, 6, -4, -3],\n [0, 0, 5, 5, -5, 5],\n [-2, 0, 0, -1, 3, 3],\n [5, 1, -4, -6, -4, 4],\n [-5, -5, -5, -2, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 69877 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, -3, 3, -2, -5, -2],\n [3, -3, 1, -6, 5, -2],\n [4, 5, 3, -6, 3, 3],\n [-3, 1, -6, 4, -5, -6],\n [4, 0, -5, -6, 5, -1],\n [-1, 3, -5, -6, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1773870 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 0, -2, -2, 1],\n [-2, 6, 0, 4, -4, 4],\n [0, 0, -1, 0, -1, 1],\n [-2, 4, 0, -5, 4, 2],\n [-2, -4, -1, 4, 0, 4],\n [1, 4, 1, 2, 4, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 38508 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, -2, 1, 3, -2],\n [-4, 0, 1, -2, 1, -3],\n [-2, 1, -3, 4, 2, 3],\n [1, -2, 4, 1, -4, 4],\n [3, 1, 2, -4, -5, -2],\n [-2, -3, 3, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7681 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[5, -2, -4, 2, 6, -2],\n [-4, -4, -4, -1, -6, 4],\n [-3, 6, 1, -4, -2, -5],\n [-5, 4, 6, 0, 3, -4],\n [-2, -4, -1, 6, 3, -4],\n [1, -5, -4, 1, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 3282 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 3, -5, 5, 0, -1],\n [-5, -2, 0, 1, -4, -6],\n [6, 0, 6, -2, -2, 0],\n [-6, 1, 5, 3, -2, 1],\n [3, 3, -2, 5, 0, 3],\n [-4, -5, -1, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 71033 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-3, -1, 0, 4, 0, 0],\n [-1, 3, 2, 0, 0, -4],\n [0, 2, 6, 1, -2, -3],\n [4, 0, 1, 4, -1, 0],\n [0, 0, -2, -1, 5, 5],\n [0, -4, -3, 0, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 172 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-3, 2, -1, 2, 2, -2],\n [2, 3, -6, 0, -5, 0],\n [-1, -6, -4, -4, 5, -4],\n [2, 0, -4, -4, -2, -3],\n [2, -5, 5, -2, 1, -2],\n [-2, 0, -4, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1545558 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -1, 2, -2, -1],\n [4, 6, -2, -2, 3, -4],\n [-1, -2, 3, 1, 0, 0],\n [2, -2, 1, -3, 3, -2],\n [-2, 3, 0, 3, 6, 3],\n [-1, -4, 0, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 1001469 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 6) of the result:\nA =\n[[1, 1, 2, 3, -1, 5],\n [-3, 5, 4, -4, 5, -2],\n [-1, -4, -5, 0, 4, -2],\n [2, -4, 1, -1, -3, 5],\n [5, 2, -2, 3, -1, 6],\n [2, 0, 5, -2, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 1089 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-5, -4, 3, 5, -4, -3],\n [-1, 5, -4, 3, -6, -6],\n [2, 2, -2, 2, 4, 0],\n [2, 5, 0, 2, -5, 4],\n [4, 1, 0, -1, -2, -3],\n [0, -4, 1, -5, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 123620 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-5, 1, 2, 3, -2, -2],\n [1, -5, 2, 2, 1, -4],\n [2, 2, -3, -4, 0, 0],\n [3, 2, -4, 6, 0, 4],\n [-2, 1, 0, 0, -2, 3],\n [-2, -4, 0, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10658 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -5, 6, 2, -3, -1],\n [5, -6, 5, 2, -2, -4],\n [-3, -6, 2, 1, -3, -5],\n [2, -3, 2, 3, -4, 0],\n [0, 3, 6, -3, -5, 4],\n [2, -3, 1, -5, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 33116 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, -3, 2, -2, 0, 2],\n [-3, 3, -2, -1, -1, 2],\n [2, -2, -1, 0, 3, -2],\n [-2, -1, 0, 5, 4, -4],\n [0, -1, 3, 4, -6, 2],\n [2, 2, -2, -4, 2, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 878158 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 2, -1, -4, 3, -3],\n [3, -2, 5, 5, -6, -2],\n [-6, 2, 0, -4, 2, -5],\n [5, 0, 2, -1, 3, -2],\n [5, 0, -1, -2, -5, 1],\n [6, 0, -1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 166596 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 2, -1, -3, 3, 0],\n [2, -2, -2, 1, 0, 6],\n [6, 1, 4, 5, 3, -5],\n [2, -4, -1, -1, -5, 5],\n [6, 0, 2, 5, 3, 4],\n [-6, 1, -5, -6, 1, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -11242 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, 4, -1, 6],\n [1, -3, -2, 2, 6, 2],\n [0, -2, 4, 6, 0, 0],\n [4, 2, 6, 2, 0, 4],\n [-1, 6, 0, 0, 2, -2],\n [6, 2, 0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 64970 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, 1, 0, -4, 3],\n [1, -6, -3, -2, 1, -2],\n [1, -3, -1, 6, -2, 0],\n [0, -2, 6, -2, -2, 2],\n [-4, 1, -2, -2, 4, -4],\n [3, -2, 0, 2, -4, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 23353 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, -3, -3, 0, 0, 4],\n [-3, 3, 4, 4, -2, 1],\n [-3, 4, 6, -1, 3, 0],\n [0, 4, -1, 1, -4, -3],\n [0, -2, 3, -4, -5, 2],\n [4, 1, 0, -3, 2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 92177 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -3, 4, 3, 3, 6],\n [0, -2, 2, -3, -4, 6],\n [-5, -6, 4, -1, 3, -5],\n [1, -1, 5, 5, -2, 6],\n [-5, 0, -5, 6, -2, -5],\n [4, 3, 4, 4, -5, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -29600 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, 0, -4, -4, -5],\n [-4, -2, -2, -2, -5, -4],\n [0, -2, 0, 2, 1, 0],\n [-4, -2, 2, -4, 3, 2],\n [-4, -5, 1, 3, -1, 0],\n [-5, -4, 0, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 83919 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 2, -2, -2],\n [0, -2, -1, 2, 0, 0],\n [0, -1, -4, 1, 0, 0],\n [2, 2, 1, -6, 1, 4],\n [-2, 0, 0, 1, -1, 2],\n [-2, 0, 0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 30865 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[1, -2, 2, 0, 2, 0],\n [-2, 4, 0, 6, -1, 6],\n [2, 0, 2, 0, -6, -1],\n [0, 6, 0, 3, 1, 0],\n [2, -1, -6, 1, 6, -2],\n [0, 6, -1, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -27480 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 1) of the result:\nA =\n[[3, -2, 5, 0, 0, 0],\n [-2, 0, 1, -2, -4, 4],\n [5, 1, -4, -2, -2, -1],\n [0, -2, -2, -5, -2, 2],\n [0, -4, -2, -2, -2, -2],\n [0, 4, -1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | -5702 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 2, 2, -2, -2, 6],\n [2, -5, 0, 0, -4, 4],\n [2, 0, -1, 0, -4, -1],\n [-2, 0, 0, -3, -5, 2],\n [-2, -4, -4, -5, 3, -2],\n [6, 4, -1, 2, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 81171 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, -2, -2, 0, -2],\n [0, 5, -2, 0, 0, -2],\n [-2, -2, -6, -3, -2, -5],\n [-2, 0, -3, -5, -1, 1],\n [0, 0, -2, -1, -1, -4],\n [-2, -2, -5, 1, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 15878 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-6, 6, -4, 0, 4, 2],\n [-5, 0, -6, -5, -1, 4],\n [-2, 1, 5, 4, -5, -6],\n [0, -1, 1, 4, 6, 1],\n [-5, 1, -1, 2, 5, 0],\n [-5, 1, 2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 37896 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, 3, -1, 0, -1, -2],\n [3, 1, 0, 4, 2, -2],\n [-1, 0, -2, 0, 2, 4],\n [0, 4, 0, 4, -2, 2],\n [-1, 2, 2, -2, 0, 2],\n [-2, -2, 4, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 136236 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[5, -1, -4, -6, 2, 2],\n [-4, -3, 6, 0, -5, 5],\n [-4, -1, 4, 1, -6, -3],\n [-6, -5, 1, -1, 2, -5],\n [-4, 2, 2, 6, -1, -4],\n [-2, -5, 0, 3, 4, 1]], determine the value at position (5, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -1256 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 3, -4, 1, 0, 0],\n [3, -6, -2, -3, -1, -1],\n [-4, -2, -4, -2, 0, 3],\n [1, -3, -2, -6, 0, -4],\n [0, -1, 0, 0, -3, -1],\n [0, -1, 3, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 1563 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, -4, 4, -4, 1, -3],\n [-4, 3, -2, -3, 2, 1],\n [4, 0, 1, 6, -2, -3],\n [0, -6, -1, 1, 0, -5],\n [6, 0, 6, -1, 6, -2],\n [-3, -6, 6, -5, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 91930 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 4) of the result:\nA =\n[[-4, -2, 1, 6, 6, 1],\n [-1, -2, 6, -5, 2, -6],\n [4, -5, 6, -6, 5, -3],\n [-3, -2, -2, 1, 4, 4],\n [-4, -1, 5, 6, 5, -4],\n [6, -5, 1, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 633 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, 3, 0, 4, 2],\n [1, -4, -2, 0, -2, -2],\n [3, -2, 4, 0, 4, 0],\n [0, 0, 0, 1, 0, 2],\n [4, -2, 4, 0, -5, 2],\n [2, -2, 0, 2, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 39110 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, 5, 1, -2, 5, -2],\n [5, -1, 0, -4, 5, -2],\n [1, 0, 3, 2, 4, -1],\n [-2, -4, 2, 3, 1, 0],\n [5, 5, 4, 1, -3, 0],\n [-2, -2, -1, 0, 0, 3]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 48643 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 3, -3, 4, -4, 0],\n [3, -6, 0, 4, -1, -1],\n [-3, 0, -1, 2, 0, 0],\n [4, 4, 2, -1, -6, 1],\n [-4, -1, 0, -6, 5, 3],\n [0, -1, 0, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 132620 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, -5, 6, 2, -5],\n [-4, 5, 6, 3, 5, 5],\n [-5, 2, -6, -2, -6, -2],\n [1, 1, 4, 1, -5, 1],\n [5, -2, -6, 0, 6, -1],\n [-2, -6, -6, -1, 3, 5]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 519 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 0, -1, 0, 2, 0],\n [0, -5, 0, 0, 4, 1],\n [-1, 0, 5, 1, -4, -3],\n [0, 0, 1, -1, -2, 0],\n [2, 4, -4, -2, -5, -2],\n [0, 1, -3, 0, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 320 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-3, 4, 1, 2, 5, 2],\n [-4, -2, -1, -1, 3, 1],\n [-1, -1, -3, 0, 1, -4],\n [0, -4, 1, -6, -6, -1],\n [3, 2, 5, -3, -1, 5],\n [-2, 5, -6, -1, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 739862 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 4, -4, -5, 6, -3],\n [3, -4, 5, -5, -6, -4],\n [3, -1, 2, 4, -2, -4],\n [-2, -2, -2, 5, 5, 0],\n [-2, 0, 2, -2, -5, -2],\n [1, 5, -3, -5, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 383147 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, 0, 2, -1],\n [2, -6, 2, 5, 1, -1],\n [-2, 2, -6, -3, 0, -2],\n [0, 5, -3, 4, 0, -1],\n [2, 1, 0, 0, 6, -4],\n [-1, -1, -2, -1, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 1075534 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-5, 5, 3, 0, -3, 4],\n [-1, -4, 0, -1, -4, -3],\n [3, -2, 2, -1, 6, -3],\n [4, 4, 0, -5, -3, -2],\n [-3, -3, 4, 6, 2, 4],\n [6, -5, -1, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 80322 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 3, 2, 0, -2, 0],\n [3, -1, 4, 0, 0, 4],\n [2, 4, 0, 2, 1, 0],\n [0, 0, 2, -5, 4, 3],\n [-2, 0, 1, 4, 3, 1],\n [0, 4, 0, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 267 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 2, 4, -4, 1, 3],\n [2, 0, 1, 0, 0, -2],\n [4, 1, -6, 1, -5, -2],\n [-4, 0, 1, -4, -2, -2],\n [1, 0, -5, -2, 5, -5],\n [3, -2, -2, -2, -5, -4]], determine the value at position (6, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | -63638 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 5, 2, 0, 0, -1],\n [5, 1, 4, -2, -1, 0],\n [2, 4, 3, -4, 4, -4],\n [0, -2, -4, -2, -2, 0],\n [0, -1, 4, -2, 1, 0],\n [-1, 0, -4, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 23727 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 4, -2, 3, 1],\n [1, 0, -4, 0, 3, 0],\n [4, -4, 6, 2, 2, -4],\n [-2, 0, 2, 2, 5, 2],\n [3, 3, 2, 5, 1, -2],\n [1, 0, -4, 2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 79150 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 5) of the result:\nA =\n[[-4, -4, 5, 4, -2, -2],\n [-1, -2, 5, -1, 1, -5],\n [-3, 6, -1, 5, -2, -6],\n [2, -4, -5, 2, 0, -2],\n [5, -1, 5, 4, -3, -6],\n [-3, 2, -6, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 1552 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, -1, -4, 6, 0],\n [-3, -4, 0, 4, 4, 0],\n [-3, 5, 0, 4, -5, -6],\n [5, -5, -3, 1, -4, 3],\n [-1, -1, 6, 2, 2, -3],\n [2, 6, -1, -5, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | -4736 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 6) of the result:\nA =\n[[-1, -5, 1, -3, -2, 1],\n [4, 1, 5, 5, -1, -3],\n [-6, 5, 0, 1, 2, -5],\n [-6, -3, 6, -2, 3, 5],\n [-6, -2, -1, -4, 5, 0],\n [-1, -3, -4, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 24191 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 6, 4, -1],\n [5, -3, -3, -5, 3, -3],\n [1, 6, 3, -5, 2, -6],\n [6, -5, -5, 4, 6, -1],\n [0, 6, -4, 4, 2, -2],\n [-2, 4, 5, -3, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 148214 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, -3, -3, -5, 2, -4],\n [-3, 0, 3, 1, 1, -3],\n [0, 3, -6, -1, -1, -1],\n [5, -5, 1, -2, -2, -5],\n [-3, 5, 2, 2, -1, 4],\n [2, -3, 4, -6, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3243 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^4 where A is:\n[[-6, -2, -2, 4, 1, 2],\n [-2, -1, 3, 4, 0, 2],\n [-2, 3, -2, 3, -4, 2],\n [4, 4, 3, 0, 4, 0],\n [1, 0, -4, 4, 1, 3],\n [2, 2, 2, 0, 3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3036 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-2, -5, 6, 4, 2, 0],\n [3, 1, -1, 2, -1, 0],\n [0, 2, 4, 1, 6, -6],\n [-3, 0, 4, 1, 0, 5],\n [-4, -3, 5, 0, 1, 0],\n [-1, 2, 2, 4, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -87445 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -4, -3, 0, -5],\n [0, -6, 6, -4, 3, 0],\n [-4, 6, 3, -4, -2, -1],\n [-3, -4, -4, 1, 1, 0],\n [0, 3, -2, 1, 3, -2],\n [-5, 0, -1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed... | 805304 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^5 where A is:\n[[-4, 0, -5, -4, -6, 1],\n [-5, 0, 4, 2, -1, -5],\n [-5, 2, 3, 1, 2, -3],\n [-3, -5, 3, -6, 3, 6],\n [-3, 3, 3, 4, 1, -5],\n [6, 5, 4, 1, -6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -171631 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[-3, 0, 4, -2, -2, 5],\n [0, 4, -2, 4, 2, 0],\n [4, -2, 4, 0, 1, -3],\n [-2, 4, 0, -3, -2, 2],\n [-2, 2, 1, -2, -4, -2],\n [5, 0, -3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -24791 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -2, 0, 2, -2, 4],\n [-2, -6, 0, 0, 0, -4],\n [0, 0, -6, 4, -4, 1],\n [2, 0, 4, -6, -3, 4],\n [-2, 0, -4, -3, 2, -1],\n [4, -4, 1, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -57883 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 5, -4, -1, 6, -3],\n [6, 5, 3, -5, 6, -4],\n [2, 4, 4, 2, -1, 3],\n [3, 2, -3, 4, -2, 3],\n [-1, 6, 2, 6, -2, 1],\n [4, -6, -2, 3, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 158908 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, 2, 2, -3, -2, 0],\n [2, -2, -3, 0, 0, 2],\n [2, -3, 5, -4, 0, -2],\n [-3, 0, -4, -2, 2, 4],\n [-2, 0, 0, 2, -2, -2],\n [0, 2, -2, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 3382 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -2, -4, -4],\n [0, -3, 0, 0, -1, 0],\n [-2, 0, 2, 0, 4, -2],\n [-2, 0, 0, -2, -2, 0],\n [-4, -1, 4, -2, -1, -4],\n [-4, 0, -2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 44974 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-6, -2, 0, 2, -2, 0],\n [-2, -5, -4, -4, -5, 0],\n [0, -4, 4, -2, 0, 4],\n [2, -4, -2, -1, -4, 0],\n [-2, -5, 0, -4, 5, 2],\n [0, 0, 4, 0, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 108646 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -5, 6, 1, -5, 3],\n [-5, -6, 0, 5, -5, 3],\n [-2, -2, -4, -4, 6, 5],\n [-4, -1, -3, 6, -4, -5],\n [6, -4, -3, -1, -3, 1],\n [-4, 5, -4, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -2820 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-6, -5, 4, 2, 2, 4],\n [-5, -4, -4, -2, 1, 0],\n [4, -4, 3, -2, -4, 0],\n [2, -2, -2, 2, 1, 0],\n [2, 1, -4, 1, -3, -2],\n [4, 0, 0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11374 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, 4, 0, 4, 6, 5],\n [1, 2, -5, -4, 5, 5],\n [-5, 3, 0, 5, -5, 5],\n [-5, -5, 5, 6, -3, -6],\n [-5, -4, 0, 3, -6, -1],\n [-4, -4, -3, 6, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96727 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 4, 0, 0, 2],\n [-2, -2, 1, 4, 4, 1],\n [4, 1, -2, -2, 0, 1],\n [0, 4, -2, -5, 0, 0],\n [0, 4, 0, 0, 4, 4],\n [2, 1, 1, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 21421 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[4, -4, 5, -6, 4, -2],\n [3, 3, -5, -3, -5, -5],\n [6, -4, -2, -3, -5, 4],\n [3, -5, -1, 0, 5, 3],\n [-1, 0, -6, -1, 4, -4],\n [-6, 1, -3, 3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -120953 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -1, 4, 2, -1],\n [-2, 2, 0, 2, 4, 0],\n [-1, 0, -3, 2, 0, 0],\n [4, 2, 2, -2, -1, 0],\n [2, 4, 0, -1, 2, 0],\n [-1, 0, 0, 0, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 494 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, -4, -1, 6, -4, 2],\n [-4, 4, -1, 2, 0, -4],\n [-1, -1, 2, 0, -3, 2],\n [6, 2, 0, 2, 3, 0],\n [-4, 0, -3, 3, 3, 2],\n [2, -4, 2, 0, 2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 723083 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -5, 2, 2, 0, 0],\n [-5, 2, -6, 2, -2, -4],\n [2, -6, 0, -2, 6, 4],\n [2, 2, -2, 6, 4, 0],\n [0, -2, 6, 4, -1, 3],\n [0, -4, 4, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | 2860129 | MATH |
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