messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, -3, 6, 4, 1, 6],\n [-2, 0, 3, -4, 0, 4],\n [4, 1, -2, -3, 1, 1],\n [-4, -1, -2, -5, 1, 5],\n [-1, -5, 5, -2, -6, 5],\n [3, -1, 6, 5, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -1120 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 5) of the result:\nA =\n[[4, 4, 3, 5, 5, -4],\n [5, 0, -3, 2, -4, -2],\n [-4, 0, -2, 2, 0, -5],\n [-3, 2, 5, -5, 3, 2],\n [3, -2, -5, -3, 5, 5],\n [0, 5, 6, 1, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -2122 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, 2, -2, -5, 2],\n [-3, 3, 1, 2, 2, 0],\n [2, 1, -5, 2, -1, 4],\n [-2, 2, 2, 1, 0, 4],\n [-5, 2, -1, 0, 2, 6],\n [2, 0, 4, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 95362 | MATH |
[
{
"content": "Find the value at position (5, 1) of the 4th power of the matrix:\n[[-6, 2, 0, 2, 1, -6],\n [5, 1, 1, 4, -4, -6],\n [1, -4, -4, -6, 4, -2],\n [3, 0, 3, 2, 5, 0],\n [2, 1, 5, -5, -6, 0],\n [0, 1, -2, -4, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 543 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -5, -3, -2],\n [0, -6, 0, 2, 0, 3],\n [0, 0, 3, -2, 2, 3],\n [-5, 2, -2, -3, 6, 0],\n [-3, 0, 2, 6, 4, 1],\n [-2, 3, 3, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 67720 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[5, -5, 3, 6, 2, -2],\n [-1, 5, 5, 5, 5, -3],\n [4, 3, 0, 5, 2, 0],\n [-6, -6, 2, 4, 2, -3],\n [6, 2, -4, 0, -1, 1],\n [4, 2, -2, -6, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -954 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 1, 4, -1, 1, 2],\n [-3, -6, -6, 3, -3, 5],\n [0, -5, -4, -6, -2, -6],\n [1, -6, 4, -6, -5, -5],\n [5, -1, 0, -2, -6, -6],\n [-4, -5, -2, 5, 3, -1]]\n\nPresent the answer in LaTex format: \\b... | 124968 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[0, -3, 0, 4, 1, 4],\n [-6, -1, 1, -2, -3, -5],\n [-1, -1, 4, -6, 2, 5],\n [4, -1, 6, -4, -3, 5],\n [4, -3, -4, 3, -4, -4],\n [-3, 0, -3, 2, -6, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -122087 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -2, 0, -6, 4, 0],\n [-2, 2, 0, -2, 2, -4],\n [0, 0, 3, -2, 0, 3],\n [-6, -2, -2, 5, 0, -2],\n [4, 2, 0, 0, -4, -2],\n [0, -4, 3, -2, -2, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -142764 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, -3, 4, -6, 1, -3],\n [-1, 1, -3, -4, 2, -4],\n [2, 6, -5, -5, -5, -1],\n [-4, 6, 2, -3, -6, -3],\n [-6, -2, -3, 1, 1, 0],\n [-4, -6, -6, 5, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -277178 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, -2, -2, 2, 2, 6],\n [-2, -1, -2, 0, 4, -2],\n [-2, -2, 5, -4, 2, 2],\n [2, 0, -4, -4, -4, -2],\n [2, 4, 2, -4, -1, 1],\n [6, -2, 2, -2, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 5585 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 4, -6, -4, 5],\n [-3, 0, -4, -2, -1, 0],\n [4, -4, 3, -2, -2, 0],\n [-6, -2, -2, -5, 2, 4],\n [-4, -1, -2, 2, -6, 2],\n [5, 0, 0, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 70824 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 0, -4, 4, 2, 2],\n [0, 3, -3, -2, 0, 0],\n [-4, -3, 1, 0, 1, -2],\n [4, -2, 0, 0, -1, 0],\n [2, 0, 1, -1, 3, 1],\n [2, 0, -2, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 206885 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 5, -2, -6, 1, -2],\n [5, 5, 5, -2, 0, -3],\n [-1, 6, -3, -4, 0, 1],\n [-3, 6, -5, 5, 3, -4],\n [-6, 1, -4, 5, 3, 0],\n [3, -2, 3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 1608150 | MATH |
[
{
"content": "Find the value at position (6, 2) of the 4th power of the matrix:\n[[5, -4, -6, 2, 1, -4],\n [-4, -1, 4, -2, 4, -2],\n [-6, 4, 0, 2, 2, 6],\n [2, -2, 2, 3, 0, 0],\n [1, 4, 2, 0, -2, -2],\n [-4, -2, 6, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 5878 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[0, -3, -6, -2, 0, 3],\n [3, -1, -2, -3, -5, -3],\n [3, 3, -4, 3, -6, 1],\n [-2, 6, -3, 1, 0, -5],\n [-6, 5, 4, -3, 1, 5],\n [-5, -4, 5, -6, -6, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 654667 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, 4, -2, 5, -4, -6],\n [-6, 1, 3, 4, 5, 6],\n [6, 5, -5, 6, -4, -5],\n [-4, 0, -6, 3, 1, 6],\n [3, 3, 3, -5, -4, 2],\n [0, -3, 3, -2, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -122267 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 6, 1, -3, 2, -2],\n [6, 2, -3, 3, -2, 2],\n [1, -4, -6, -4, -3, -5],\n [-6, 0, 1, 0, -2, 5],\n [-6, 0, 6, 0, 2, -4],\n [2, -6, -6, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 494882 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 4th power of the matrix:\n[[6, 4, -4, -6, -3, 5],\n [6, 2, -4, 5, 2, 0],\n [5, -3, -4, 3, -2, -2],\n [-4, 5, 2, -3, 4, -2],\n [-3, -2, 0, 2, 0, 6],\n [-2, 3, 3, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -1514 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^5 where A is:\n[[-4, 2, 6, 3, 5, -6],\n [2, 2, 1, -1, 2, -4],\n [6, 1, 0, 5, 0, 0],\n [3, -1, 5, 3, -4, -4],\n [5, 2, 0, -4, 1, 3],\n [-6, -4, 0, -4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48257 | MATH |
[
{
"content": "What is the value at position (5, 5) of the matrix A^4 where A is:\n[[6, -3, -3, -1, 5, -4],\n [6, 5, -1, 0, 4, 3],\n [3, -4, 0, -4, 6, 6],\n [-5, 5, 3, -3, 5, 1],\n [6, 2, 0, -6, -4, 6],\n [5, 2, 5, -6, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3502 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 2, 1, -2, 0, 4],\n [2, 6, 6, 0, -1, 2],\n [1, 6, -2, -4, -2, 0],\n [-2, 0, -4, 2, -5, -2],\n [0, -1, -2, -5, 0, 0],\n [4, 2, 0, -2, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 1028087 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[1, 5, -2, 1, 3, 5],\n [-3, 3, 1, 3, 5, -5],\n [5, 5, -2, 2, -3, 4],\n [-1, -6, 2, -6, -2, -3],\n [6, 5, 6, 6, -4, 6],\n [-1, -5, -4, -2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 37286 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 1, -5, 4, 6, -2],\n [0, 1, -6, -1, -6, -5],\n [-6, 4, -2, 3, 2, -1],\n [4, 4, -6, 6, -6, -5],\n [2, -4, -6, -2, 0, -1],\n [5, -6, -2, -2, -1, -4]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 1276 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 0, -2, -2, -2, 3],\n [3, -4, -6, -2, 2, -6],\n [-4, 6, 6, -3, -6, -6],\n [1, -5, 5, 1, 0, 3],\n [3, -5, -1, -1, -4, 4],\n [-5, 5, -6, -1, 5, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 1163197 | MATH |
[
{
"content": "What is the value at position (6, 1) of the matrix A^4 where A is:\n[[4, -2, -6, -2, 0, -2],\n [-2, 4, -2, -2, 2, 6],\n [-6, -2, -5, -4, -2, 0],\n [-2, -2, -4, 2, 1, -2],\n [0, 2, -2, 1, -4, -2],\n [-2, 6, 0, -2, -2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | -20 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -6, 4, 0, 1, -4],\n [-6, -1, 1, -3, 4, 5],\n [4, 1, -4, 2, -2, 2],\n [0, -3, 2, -3, -2, -4],\n [1, 4, -2, -2, 4, 1],\n [-4, 5, 2, -4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 145417 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, -5, 5, 3, 6, -1],\n [-2, -1, -6, -2, 2, 5],\n [3, -5, -6, 3, 6, 4],\n [2, 3, 2, 2, -1, 1],\n [4, 6, -6, 3, -3, -6],\n [1, -6, -4, 6, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 196467 | MATH |
[
{
"content": "Find the value at position (3, 6) of the 4th power of the matrix:\n[[-1, 3, 5, 0, 1, -5],\n [6, 3, 4, 1, -4, 0],\n [-4, 0, 4, 5, 6, -5],\n [3, -1, -4, -4, 2, 0],\n [-2, 5, 3, 0, 2, -6],\n [0, -1, 3, 5, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 351 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[6, -3, 2, -3, 3, -4],\n [2, 6, -5, -3, -1, -5],\n [1, 1, -6, 5, -4, 3],\n [2, -2, -1, -3, 3, -5],\n [4, 1, 4, 6, -1, -2],\n [2, -6, -2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 275252 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-1, 1, -3, 4, 0, 2],\n [1, 0, -2, -4, -2, -3],\n [-3, -2, -1, -3, 0, 6],\n [4, -4, -3, -1, -6, 3],\n [0, -2, 0, -6, 4, 0],\n [2, -3, 6, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -181424 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, -5, -2, -6],\n [-2, -6, 4, -4, 3, -2],\n [-2, 4, -3, 0, 4, -5],\n [-5, -4, 0, 1, -1, -2],\n [-2, 3, 4, -1, 6, 2],\n [-6, -2, -5, -2, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -1854421 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 4, 1, -1, 0, -4],\n [-6, -2, 5, 5, -5, -2],\n [1, 4, 2, -5, 5, -4],\n [-4, -6, 1, -1, 5, 6],\n [1, 4, 2, -2, 5, -4],\n [-2, -2, -2, -4, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -617 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, 6, 3, 2, -5],\n [1, 1, 0, 1, -4, 6],\n [-1, -6, 0, -6, 2, -6],\n [-6, 0, -5, -2, 1, 1],\n [-4, 0, -4, -1, -1, -4],\n [0, -4, 1, 3, -3, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -12896 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[-6, -3, 0, 4, -3, 6],\n [-1, 2, -6, 6, -2, 4],\n [0, -6, -3, -1, -5, 3],\n [-2, 4, 3, -6, -1, -1],\n [6, -3, 6, 1, -3, 1],\n [6, 1, -2, 6, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -29723 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[6, -5, 4, -4, -4, -3],\n [-3, 3, 4, 4, -2, -3],\n [4, 3, 1, -1, -1, 1],\n [0, 3, 4, 5, 3, 6],\n [1, -5, 2, -6, 1, 5],\n [4, 5, 5, -3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 647067 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[1, 0, 2, 0, -6, 4],\n [0, 2, -1, 0, 2, 0],\n [2, -1, 4, -2, -3, 0],\n [0, 0, -2, -1, -2, 2],\n [-6, 2, -3, -2, 1, -2],\n [4, 0, 0, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70664 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2, -4, -3, 2],\n [3, 4, -1, -5, 0, -5],\n [4, -5, 4, -6, 4, 4],\n [5, 4, -4, -1, 1, 2],\n [0, -3, -1, -2, 1, -6],\n [-6, 6, 4, -1, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 57883 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, -2, -6, 0, -6, -3],\n [2, -6, -3, -1, -1, 5],\n [6, 1, -6, 0, -6, 6],\n [0, -4, 4, 1, -4, 6],\n [-6, 6, 6, 1, -4, -5],\n [-6, -4, -5, -5, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 84642 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-6, -5, -1, -4, -3, -6],\n [1, 6, 0, 0, -4, 3],\n [3, -4, -5, 5, -6, 0],\n [0, 5, -5, 0, 6, 1],\n [-6, 2, 0, -4, 1, 0],\n [4, 6, 1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | -1144 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, 4, 4, -5],\n [-4, 1, 0, 2, -4, -4],\n [-4, 0, -2, -3, -4, -1],\n [4, 2, -3, 0, 2, -4],\n [4, -4, -4, 2, 5, 0],\n [-5, -4, -1, -4, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 4178 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, -4, 0, 0, 5, -3],\n [-2, -2, -1, 2, -5, -2],\n [5, -4, -3, 3, -1, 5],\n [1, -6, 3, 1, 4, 0],\n [-6, -5, -4, -6, 2, 1],\n [-5, 6, 2, 0, 2, -1]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -2777 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-1, 4, -3, 3, 3, 6],\n [6, -5, 0, -2, 4, -1],\n [-5, -2, 3, -3, 2, -1],\n [-5, -6, -2, 2, -1, 3],\n [5, 0, -2, 3, -1, -2],\n [4, 2, -1, 4, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 591501 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[5, 6, 2, -2, 0, 3],\n [6, -6, 3, -2, 5, 3],\n [-5, 5, -1, 4, -6, -4],\n [-2, -3, -4, 3, 6, -2],\n [4, 1, 4, -3, -6, 4],\n [0, 1, -4, -1, -5, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | -446 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 6) of the result:\nA =\n[[1, 1, 2, 0, 1, -2],\n [1, -3, -4, 0, -5, 0],\n [2, -4, 4, 0, -1, -2],\n [0, 0, 0, -2, 2, 1],\n [1, -5, -1, 2, 6, 0],\n [-2, 0, -2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -1374 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[-5, -2, 5, 5, -4, -1],\n [-5, 5, -4, -2, 5, 4],\n [4, -6, 6, -6, 3, 2],\n [0, -6, 5, 1, -4, 1],\n [-2, -6, 0, -2, -1, -1],\n [1, 2, -5, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 41223 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 2, 6, 3, 3, 0],\n [-6, 0, 3, -2, -1, 3],\n [0, -2, 0, 2, -4, 1],\n [-5, 4, 0, 6, -5, -3],\n [0, -4, -5, 4, 3, 0],\n [-6, 1, -4, 5, 5, 6]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -1644 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-5, -4, -2, 4, 1, 3],\n [0, 0, 5, 0, 1, -6],\n [-3, 6, -1, 2, 6, -5],\n [-6, 6, 3, 5, -5, 0],\n [-4, 3, -5, 4, 0, 6],\n [6, -5, -4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 646875 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 1) of the result:\nA =\n[[6, -6, 6, -2, 5, 2],\n [1, 5, 2, 3, 2, 0],\n [-3, -2, -6, -6, -4, 6],\n [1, -5, -3, -5, -2, 2],\n [-6, -2, 2, -6, 2, 1],\n [-3, 5, 4, 3, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 26675 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 4, 5, -1, 0, 1],\n [1, 4, 6, -5, 2, 0],\n [-3, -3, 4, 1, -3, 6],\n [-1, -2, -4, 6, 3, 4],\n [-5, 2, 3, 2, -6, 3],\n [-4, 1, -1, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 309 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -6, -2, 1, -2, 4],\n [-6, 6, -1, 2, -4, 0],\n [-2, -1, 1, 1, 0, 2],\n [1, 2, 1, 2, 2, 0],\n [-2, -4, 0, 2, 1, -4],\n [4, 0, 2, 0, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -31017 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 5, 3, 2, 1, 2],\n [-2, 4, 4, -5, 1, 5],\n [-1, 1, 4, -2, 3, -5],\n [-1, -2, 5, 6, 5, -2],\n [6, -6, -5, 1, 6, 6],\n [-4, 3, -4, 1, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{You... | 87768 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[1, 2, 5, 2, -3, -2],\n [2, -4, 2, 4, -4, 2],\n [5, 2, 6, 0, 5, 2],\n [2, 4, 0, 4, 2, 4],\n [-3, -4, 5, 2, 3, 3],\n [-2, 2, 2, 4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 1279185 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[0, 0, 0, 0, 4, 2],\n [0, 0, -6, 1, 0, -4],\n [0, -6, 1, -3, 5, -1],\n [0, 1, -3, -4, 2, 0],\n [4, 0, 5, 2, -2, 0],\n [2, -4, -1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -155949 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 0, -2, -1, 2],\n [-4, -6, -3, 0, -2, 4],\n [0, -3, 6, 6, -2, 0],\n [-2, 0, 6, 5, -2, 0],\n [-1, -2, -2, -2, 4, 4],\n [2, 4, 0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 30998 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, 1, 2, 2, -2, 2],\n [1, 6, 4, 1, -3, -4],\n [2, 4, 4, 1, -5, 4],\n [2, 1, 1, -2, 0, 4],\n [-2, -3, -5, 0, -2, -2],\n [2, -4, 4, 4, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 43025 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[6, -4, -6, 2, 1, 5],\n [-5, 5, 4, 1, 5, 2],\n [-6, 6, -2, 1, 4, -5],\n [-3, 0, -4, 6, 5, -2],\n [1, 5, 3, -4, -3, 2],\n [0, -6, 5, -3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -21882 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 5, -1, -1, -2],\n [-2, -5, 1, 1, 4, 6],\n [-6, 1, -2, -5, -5, -1],\n [4, 6, 2, -6, 5, -1],\n [2, 1, 4, -1, -4, 1],\n [2, -6, 5, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed... | 63481 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[5, -3, -6, 3, 1, -5],\n [5, -6, -5, -6, -6, 2],\n [6, -6, 6, -3, 3, -1],\n [0, -5, -1, 0, 3, 3],\n [-5, -5, 3, 0, 5, -6],\n [1, 4, 6, -4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -3798 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 4th power of the matrix:\n[[2, 2, 3, 2, 2, 0],\n [2, 1, 0, -3, 4, 2],\n [3, 0, 4, 0, -4, 0],\n [2, -3, 0, -4, 0, 6],\n [2, 4, -4, 0, 5, -2],\n [0, 2, 0, 6, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1220 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-4, 0, -2, 4, -2, 6],\n [0, -2, -2, 0, 6, -6],\n [-2, -2, -4, -2, 2, 0],\n [4, 0, -2, 5, 1, 0],\n [-2, 6, 2, 1, -6, 3],\n [6, -6, 0, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -928 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, 2, -3, 0, 0, 2],\n [2, 1, -1, -4, 0, -2],\n [-3, -1, -2, -3, -2, -2],\n [0, -4, -3, 0, 4, -3],\n [0, 0, -2, 4, 5, -5],\n [2, -2, -2, -3, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -259338 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 0, 1, 4, 2],\n [-2, 0, -2, -2, 0, 2],\n [0, -2, 5, 0, 2, -3],\n [1, -2, 0, 0, 2, -2],\n [4, 0, 2, 2, -5, 0],\n [2, 2, -3, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3610 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -3, -1, 4, -5],\n [2, 3, 2, 2, 2, 2],\n [-3, 2, -3, 0, 1, 5],\n [-1, 2, 0, -3, 5, 2],\n [4, 2, 1, 5, -2, 0],\n [-5, 2, 5, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 59781 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[5, 4, 6, -3, -5, -5],\n [2, -2, -3, 3, 6, -6],\n [0, -4, -1, -2, -2, 4],\n [-2, -6, -6, -4, 5, 3],\n [-3, -2, -5, 1, 4, 4],\n [-5, 2, -5, 6, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 2135412 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 5) of the result:\nA =\n[[1, 0, 0, 0, 0, 1],\n [0, 0, 3, -1, -6, -1],\n [0, 3, 1, 0, -1, -6],\n [0, -1, 0, -1, -1, -4],\n [0, -6, -1, -1, 3, 4],\n [1, -1, -6, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 90292 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, 4, 3, 0, 4],\n [-4, -6, -2, -5, 2, -2],\n [4, -2, 5, -2, -2, -2],\n [3, -5, -2, 2, 5, 0],\n [0, 2, -2, 5, -3, -4],\n [4, -2, -2, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 31046 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^4 where A is:\n[[-5, -5, 6, 2, 0, -4],\n [6, 4, -6, 1, -1, 0],\n [2, -2, -6, 5, 3, 0],\n [-2, -4, 5, 6, 2, -6],\n [-6, -6, -4, 5, -1, 3],\n [4, -4, 1, 3, -5, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -2154 | MATH |
[
{
"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-4, 2, 0, 0, 0, 2],\n [2, -2, 0, 1, 0, 4],\n [0, 0, -2, 0, -2, 0],\n [0, 1, 0, 5, 4, 4],\n [0, 0, -2, 4, 0, -3],\n [2, 4, 0, 4, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -256 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -5, -2, 4],\n [2, -2, -1, 5, 6, 0],\n [-2, -1, 3, -3, -1, -1],\n [-5, 5, -3, 3, 1, 5],\n [-2, 6, -1, 1, 6, 2],\n [4, 0, -1, 5, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 801159 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, -4, 2, 2, 2, -4],\n [-4, 5, 0, 4, 2, 4],\n [2, 0, -1, 1, 2, 2],\n [2, 4, 1, 2, 3, 0],\n [2, 2, 2, 3, 1, -1],\n [-4, 4, 2, 0, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 262024 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0, -1, 2],\n [-1, -5, -4, -4, 0, 0],\n [-2, -4, -2, -3, 0, 6],\n [0, -4, -3, -2, -3, 0],\n [-1, 0, 0, -3, 4, 2],\n [2, 0, 6, 0, 2, -5]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 8165 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, -3, -3, -2],\n [0, 6, 0, 2, -6, 4],\n [-1, 0, 5, -2, -3, 1],\n [-3, 2, -2, 6, -4, 2],\n [-3, -6, -3, -4, 2, 0],\n [-2, 4, 1, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 44140 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[6, -6, 5, -5, 5, -2],\n [5, 4, -2, 1, -1, 1],\n [-5, -4, -1, 5, 6, 3],\n [-4, -1, -1, -5, 0, 5],\n [-5, -1, -6, -4, -5, 0],\n [-3, 1, -1, 5, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 87884 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 2, 2, 2, 1],\n [4, 0, 0, -4, 0, -2],\n [2, 0, 6, -1, 4, -2],\n [2, -4, -1, -3, 0, 0],\n [2, 0, 4, 0, -3, -4],\n [1, -2, -2, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25672 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[5, -4, -2, 0, 0, -2],\n [-4, 0, -5, 1, -2, 4],\n [-2, -5, 4, 0, 0, -4],\n [0, 1, 0, 0, 0, -3],\n [0, -2, 0, 0, -1, 4],\n [-2, 4, -4, -3, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 125879 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, 3, -1, -5, 6, -4],\n [1, 3, -1, -4, 0, -3],\n [2, -2, -4, -5, 4, -5],\n [-4, -5, -3, -5, 3, 2],\n [-5, 2, 6, -1, -6, -3],\n [-6, -1, 6, -3, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your a... | 164793 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 2, 6, -2, -5],\n [1, -2, -5, -3, 2, -3],\n [6, 5, 5, 5, 6, -3],\n [-5, 6, 5, -1, 6, 4],\n [-5, 5, 0, -4, -4, -2],\n [-4, -5, 3, 2, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21251 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, 4, 0, 2, 3, -4],\n [4, -4, 2, -2, 1, -3],\n [0, 2, -6, -2, -3, -2],\n [2, -2, -2, 0, 5, 2],\n [3, 1, -3, 5, -1, -2],\n [-4, -3, -2, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12560 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -1, 0, 0, 2],\n [2, -2, 0, -2, 0, 2],\n [-1, 0, -2, 0, 3, 0],\n [0, -2, 0, -6, 2, -4],\n [0, 0, 3, 2, -2, -4],\n [2, 2, 0, -4, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 47292 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 4, -2, -3, 0, -2],\n [3, -3, -5, -3, 5, -5],\n [1, -4, 2, 6, -3, 6],\n [-1, 3, -2, 3, 6, -6],\n [2, -6, 1, 2, 2, -6],\n [-5, 5, 6, -6, 3, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -9481 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 5, 1, -2, 5, 4],\n [0, -5, 1, 4, -1, 1],\n [-6, -6, 5, 0, 1, 6],\n [-4, -2, 5, -6, 0, -2],\n [1, 6, 1, 2, 0, 4],\n [-6, 6, -4, 1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 70956 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-6, -2, 1, -2, 1, 0],\n [-2, 4, -4, -2, 0, -5],\n [1, -4, 4, 3, 0, -2],\n [-2, -2, 3, -1, 4, -4],\n [1, 0, 0, 4, -5, -2],\n [0, -5, -2, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 15866 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, 3, 0, -5, 3, -2],\n [-3, 5, 4, 1, -5, -1],\n [6, -2, 5, -5, 4, 3],\n [-6, 1, -5, 0, 2, 2],\n [1, 4, 5, 3, 2, -5],\n [-1, -3, -3, -2, 5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 1037198 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 1, -2, -4, 3, 0],\n [0, -6, 5, 2, -5, -2],\n [6, -2, 1, 1, 0, 0],\n [5, 4, -1, -1, 4, 2],\n [-1, 5, 6, 6, -5, -5],\n [6, -2, -3, 4, -5, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 1442296 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 0, 2, 2, 0],\n [0, 6, -3, 1, -3, 1],\n [0, -3, 6, 2, 0, -2],\n [2, 1, 2, 3, -2, -1],\n [2, -3, 0, -2, -3, 2],\n [0, 1, -2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2249 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-2, 0, 4, 4, -5, 2],\n [6, 2, -3, -3, -1, 3],\n [3, 3, -1, 5, -6, 2],\n [-5, -2, 2, -3, 4, -4],\n [0, -1, 1, -4, -2, 3],\n [-3, 6, -3, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 12555 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 4) of the result:\nA =\n[[-1, -2, 0, -1, -2, 0],\n [-2, 1, 2, -1, 3, -3],\n [0, 2, 2, 2, -2, -6],\n [-1, -1, 2, 6, -4, -2],\n [-2, 3, -2, -4, -3, 3],\n [0, -3, -6, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 88546 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 1, -3, 2, 0],\n [0, 3, -2, -2, 0, -2],\n [1, -2, 0, -6, 2, -4],\n [-3, -2, -6, 4, 2, 0],\n [2, 0, 2, 2, 6, -1],\n [0, -2, -4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 40010 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 4th power of the matrix:\n[[5, 3, 3, -2, 3, -2],\n [3, -3, 5, 4, -4, -4],\n [3, 5, -6, 2, 4, -4],\n [-2, 4, 2, -4, -3, -3],\n [3, -4, 4, -3, -2, 4],\n [-2, -4, -4, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -3481 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-3, -3, 1, 0, 0, -2],\n [-3, -4, -2, -1, 4, -2],\n [1, -2, -1, 3, 4, 5],\n [0, -1, 3, 2, -2, 0],\n [0, 4, 4, -2, 5, 2],\n [-2, -2, 5, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 71037 | MATH |
[
{
"content": "What is the value at position (3, 5) of the matrix A^4 where A is:\n[[3, 4, 4, -4, 4, 2],\n [4, -3, 2, 4, -3, 0],\n [4, 2, 2, -1, -1, -2],\n [-4, 4, -1, -1, -2, 2],\n [4, -3, -1, -2, -2, 0],\n [2, 0, -2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 1152 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-2, -4, -2, -4, 0, 4],\n [-4, 1, 0, -3, -2, -2],\n [-2, 0, 2, 2, -2, 0],\n [-4, -3, 2, 3, -2, 2],\n [0, -2, -2, -2, 1, 5],\n [4, -2, 0, 2, 5, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 609709 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -1, -6, -6, -5, -1],\n [-1, -5, -6, 3, -2, -2],\n [-5, -1, 2, -5, 3, -5],\n [-4, 6, 0, -1, 5, 1],\n [1, -1, 5, 4, 3, -4],\n [-4, -6, 0, -2, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 102802 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -1, 1, 1, -2],\n [-1, -3, 5, 4, 6, 2],\n [1, 3, 5, 3, -6, -5],\n [2, 1, -4, 1, 5, -6],\n [3, -3, -4, -1, 0, -3],\n [0, 2, 4, -5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 429518 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, -2, 1, -2, 0, -1],\n [-2, 1, 2, 4, 1, 0],\n [1, 2, 1, 2, -1, 1],\n [-2, 4, 2, -3, 2, 2],\n [0, 1, -1, 2, -4, -1],\n [-1, 0, 1, 2, -1, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 54994 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, -1, 3, -2, 2, 3],\n [-1, -3, 2, -2, 0, -1],\n [3, 2, 0, 0, 5, -3],\n [-2, -2, 0, -5, -2, 1],\n [2, 0, 5, -2, 4, 0],\n [3, -1, -3, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 802842 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 6) of the result:\nA =\n[[-5, 3, -2, -4, 6, 5],\n [6, 2, -3, -1, -5, -1],\n [-4, 5, 5, 2, 4, -5],\n [5, 5, 2, -2, 1, -5],\n [-1, -4, 5, 5, 3, -2],\n [5, 1, 3, -6, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -3592 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-3, 0, 4, 1, 0, -2],\n [0, 2, 2, -3, -3, 0],\n [4, 2, 4, -4, -4, -2],\n [1, -3, -4, -4, 2, 0],\n [0, -3, -4, 2, -3, 0],\n [-2, 0, -2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2357 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, -3, 0, 0],\n [0, -2, 0, -4, 4, -2],\n [0, 0, -4, 2, 0, -4],\n [-3, -4, 2, 4, 2, -2],\n [0, 4, 0, 2, -1, 0],\n [0, -2, -4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13323 | MATH |
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