messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 1, -1, -3, -3],\n [-3, -1, -6, 5, -5, -1],\n [4, -6, 2, 5, -1, 0],\n [5, -6, 1, 5, 5, 5],\n [5, 5, -2, -2, -1, 0],\n [0, -2, -6, 4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6870 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[6, 4, 2, 0, -4, 4],\n [4, -4, 0, 2, 3, 2],\n [2, 0, 1, -2, -3, 1],\n [0, 2, -2, -2, 0, 1],\n [-4, 3, -3, 0, -6, -2],\n [4, 2, 1, 1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 188409 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[6, 2, 4, -6, -6, 3],\n [-4, 3, -4, -2, -3, -1],\n [5, 1, 1, 4, -3, -6],\n [6, 0, -1, -2, -3, -1],\n [1, -1, -4, 2, -4, -3],\n [6, -2, 4, -5, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 44904 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 3, -5, -1, -5, 3],\n [-6, 1, 3, 3, 6, -6],\n [3, -1, 5, -6, 1, -2],\n [-4, -2, 6, -6, -6, 5],\n [-3, 2, 2, -6, -4, 6],\n [5, -3, -5, 0, -4, -6]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -31721 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-6, -4, 2, -2, -6, -2],\n [-4, 5, 0, 2, 3, 5],\n [2, 0, 6, 1, 0, 0],\n [-2, 2, 1, 2, 0, 3],\n [-6, 3, 0, 0, -1, 0],\n [-2, 5, 0, 3, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 99349 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, -1, -6, 3, 0],\n [0, 3, 0, 0, 0, 2],\n [-1, 0, 1, 2, -2, -4],\n [-6, 0, 2, -4, 0, 4],\n [3, 0, -2, 0, -5, 2],\n [0, 2, -4, 4, 2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 14529 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 0, 4, -2, 2, 2],\n [0, 5, 0, 2, 0, 2],\n [4, 0, -3, 0, -2, 2],\n [-2, 2, 0, -1, 0, 2],\n [2, 0, -2, 0, 4, 4],\n [2, 2, 2, 2, 4, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 743854 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, -3, -4, -2, -2],\n [3, -5, 4, -4, 1, -3],\n [-3, 4, 5, 2, 2, 2],\n [-4, -4, 2, 4, 2, 0],\n [-2, 1, 2, 2, -6, 4],\n [-2, -3, 2, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29583 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 0, -2, 4],\n [0, 2, -2, 0, 0, -1],\n [1, -2, 1, -1, -2, -2],\n [0, 0, -1, -4, -2, 0],\n [-2, 0, -2, -2, 6, 3],\n [4, -1, -2, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 31877 | MATH |
[
{
"content": "Find the value at position (6, 2) of the 4th power of the matrix:\n[[-4, 1, -4, -6, 2, 1],\n [-3, 1, -2, -4, -6, 6],\n [3, -2, 4, -1, -3, 0],\n [-4, 0, -6, 0, -6, 6],\n [4, -6, -5, -5, -3, 6],\n [-6, -3, -5, -3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 1783 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[2, -4, -1, -2, 1, 0],\n [-4, -5, -4, 0, 4, 2],\n [-1, -4, 5, -3, -4, -4],\n [-2, 0, -3, 2, 2, 2],\n [1, 4, -4, 2, 4, -4],\n [0, 2, -4, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 16061 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 0, -1, -4, -5, 3],\n [0, -5, 0, 2, -4, 2],\n [-1, 0, 6, 3, 0, 0],\n [-4, 2, 3, 4, 0, 1],\n [-5, -4, 0, 0, -4, 1],\n [3, 2, 0, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | -199095 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 2, 6, 1, 6, -5],\n [5, 1, 1, -2, 6, -4],\n [2, 5, 0, -6, 1, 3],\n [6, -2, -1, 2, 3, 1],\n [4, -4, 6, -2, -3, -6],\n [-2, 3, 0, -6, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 361511 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 4, 1, 2, 3, 0],\n [4, -4, 0, 2, 0, 0],\n [1, 0, 5, 2, 0, 1],\n [2, 2, 2, 4, 0, -2],\n [3, 0, 0, 0, 2, 0],\n [0, 0, 1, -2, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6232 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[6, 4, 0, -3, 1, 4],\n [4, -4, -2, 4, -1, 2],\n [0, -2, -3, 2, -1, 2],\n [-3, 4, 2, 3, 4, 0],\n [1, -1, -1, 4, -1, 0],\n [4, 2, 2, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 19345 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -6, 3, -4, -5],\n [1, 1, 5, -2, -2, 4],\n [-3, -6, -6, 6, -1, -3],\n [-3, -4, 2, -4, 1, -5],\n [-3, -6, 4, -2, -5, 4],\n [6, -6, -6, -5, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -7929 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 2) of the result:\nA =\n[[2, -1, 5, -3, -4, 1],\n [-4, -6, -3, 4, 6, -2],\n [-2, -2, 1, 1, 5, 6],\n [-3, 2, -6, -2, -2, -2],\n [1, 2, -4, 2, 6, 4],\n [1, -4, -5, -3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -496 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-5, -4, 1, 0, 4, 3],\n [-4, -4, -2, 1, -2, 0],\n [1, -2, -4, -2, -2, 2],\n [0, 1, -2, -1, 2, -1],\n [4, -2, -2, 2, -2, 1],\n [3, 0, 2, -1, 1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 34779 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 6) of the result:\nA =\n[[-3, 2, 0, -5, 6, -3],\n [-2, -5, 3, 1, -6, -4],\n [-6, -2, 1, 0, 2, -5],\n [5, 1, 1, -1, -4, -5],\n [1, -1, -3, -2, -2, 6],\n [2, 6, 6, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -5039 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[5, -5, -4, 1, 6, -2],\n [0, 1, -1, -2, 1, -6],\n [-6, -6, -4, 3, 6, 5],\n [-1, -1, -2, 6, 6, 0],\n [-2, -5, -3, -6, 0, -3],\n [6, -3, 6, -3, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 39908 | MATH |
[
{
"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 1, 2, 0, -4, 0],\n [1, -1, 2, -1, 4, -2],\n [2, 2, 4, 2, -5, 0],\n [0, -1, 2, -6, 4, 0],\n [-4, 4, -5, 4, 5, 0],\n [0, -2, 0, 0, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2892 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 6, 2, 0, 6],\n [-4, 5, -1, -4, 3, -3],\n [5, -3, -4, 3, -1, -2],\n [4, 2, 2, -4, 6, 2],\n [6, 5, -4, -3, -6, -2],\n [5, 2, -5, -3, 3, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 158546 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 5th power of the matrix:\n[[1, 2, -4, 6, 2, -1],\n [-1, 0, 5, -2, -1, 4],\n [-6, -4, 5, 2, 5, -2],\n [-2, 1, 4, 4, 6, -5],\n [6, 0, 2, 0, 5, -2],\n [6, -1, -3, 5, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -15194 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 5) of the result:\nA =\n[[-3, 1, 3, -2, -1, 2],\n [1, -5, 6, 0, 5, -2],\n [3, 6, -1, -4, -1, 0],\n [-2, 0, -4, 1, 1, 4],\n [-1, 5, -1, 1, 5, -4],\n [2, -2, 0, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -3266 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, 2, 4, 4, 0, 0],\n [2, -2, 2, 0, 2, -5],\n [4, 2, 6, -2, 2, 5],\n [4, 0, -2, -5, 1, 2],\n [0, 2, 2, 1, -2, -2],\n [0, -5, 5, 2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29770 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 4, -5, 0, 3],\n [3, -3, -6, -1, -2, 4],\n [-5, -1, -6, -4, -3, 6],\n [-4, 6, -1, 4, -3, -6],\n [-2, -2, 2, 1, 1, -2],\n [1, 3, 0, -6, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 72958 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 0, 1, 0, -2, 0],\n [0, -3, -1, 2, -4, 4],\n [1, -1, -5, 0, 4, 4],\n [0, 2, 0, 0, -4, 0],\n [-2, -4, 4, -4, -5, -2],\n [0, 4, 4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 1066535 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, -2, 5, 4, 3, 6],\n [-1, -4, -2, 5, 6, 6],\n [6, -6, 1, 4, -1, 5],\n [-5, -3, -3, 2, 2, -2],\n [5, -4, -6, -1, 1, -6],\n [4, -6, 4, 0, 0, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -220764 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, 2, 1, -2],\n [-2, -6, 5, -1, 5, 0],\n [0, 5, 6, -2, 2, 5],\n [2, -1, -2, 4, 4, 0],\n [1, 5, 2, 4, 3, 2],\n [-2, 0, 5, 0, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 114547 | MATH |
[
{
"content": "Find the value at position (6, 4) of the 4th power of the matrix:\n[[2, 6, -6, 6, 1, -2],\n [-3, -6, 2, 6, 2, 6],\n [-2, 4, 2, 3, 2, 0],\n [1, -6, -3, 3, 3, -3],\n [5, 2, -4, 5, 3, 3],\n [-6, 4, -2, 0, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3776 | MATH |
[
{
"content": "What is the value at position (6, 1) of the matrix A^4 where A is:\n[[2, -1, -1, -4, 3, 3],\n [-2, 3, -1, -3, 6, -4],\n [-2, 0, 4, -1, -5, -6],\n [-2, -2, 5, 5, -1, -4],\n [-6, -3, -3, 3, -5, 1],\n [-1, 5, -4, -6, 5, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -2730 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-4, 1, -3, -4, 6, 4],\n [-3, 4, -3, -5, -3, 4],\n [5, 2, -3, 5, -6, -6],\n [-6, -2, -1, 5, -1, -1],\n [2, -6, 3, -1, 6, 1],\n [1, 5, -4, 6, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 813441 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 5, -4, 4, 0, -4],\n [5, -5, 0, -2, -4, -3],\n [-4, 0, 0, 3, 6, -4],\n [4, -2, 3, -1, 2, 3],\n [0, -4, 6, 2, -3, 1],\n [-4, -3, -4, 3, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8459 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[6, -5, -1, -1, 5, -3],\n [-2, 0, 1, -1, -2, 5],\n [-4, 0, 1, -4, -2, 4],\n [-5, 3, 3, 5, -3, 5],\n [-3, 5, 6, 1, -4, -2],\n [4, -2, -5, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 661851 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, 0, -1, 0],\n [0, -1, 0, -4, -4, -1],\n [2, 0, 4, 2, 1, 0],\n [0, -4, 2, 4, 1, 5],\n [-1, -4, 1, 1, -5, 4],\n [0, -1, 0, 5, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 35035 | MATH |
[
{
"content": "What is the value at position (6, 2) of the matrix A^4 where A is:\n[[5, -2, 6, -5, 6, -3],\n [0, -1, 3, 0, -2, -5],\n [1, 5, -5, 5, 1, 0],\n [-4, 6, -3, 6, 0, -3],\n [2, 0, -6, -6, -3, 6],\n [2, 6, -3, 6, -2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 1269 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 6) of the result:\nA =\n[[-5, 4, 2, 4, -4, -1],\n [4, -1, 4, -2, 0, 4],\n [2, 4, -6, -6, 1, -2],\n [4, -2, -6, 2, 0, -1],\n [-4, 0, 1, 0, 1, -4],\n [-1, 4, -2, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -37702 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2, -3, 0],\n [0, 1, 0, 0, -2, -3],\n [0, 0, -6, -3, 2, -5],\n [2, 0, -3, -1, -2, -2],\n [-3, -2, 2, -2, 2, -2],\n [0, -3, -5, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -693675 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, 0, 2, 2, 4, 4],\n [0, -4, 2, -4, 2, 0],\n [2, 2, 0, 3, 2, 1],\n [2, -4, 3, 4, -4, 2],\n [4, 2, 2, -4, 5, 2],\n [4, 0, 1, 2, 2, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 850930 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[2, -2, -4, 4, 0, 0],\n [-2, -3, 0, 0, 0, 4],\n [-4, 0, -3, 0, -4, 0],\n [4, 0, 0, 5, 0, 0],\n [0, 0, -4, 0, 1, 4],\n [0, 4, 0, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 407046 | MATH |
[
{
"content": "Find the value at position (6, 1) of the 4th power of the matrix:\n[[0, -2, 3, 0, -5, -3],\n [-6, -2, 1, -6, 0, 0],\n [0, -6, 5, 4, -4, 4],\n [-5, -2, -5, 6, -2, -2],\n [-3, 4, 0, 3, -1, -5],\n [-3, 6, 4, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -2597 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, -4, -6, 2, 1, 0],\n [-1, 3, 0, 4, 2, -1],\n [3, -4, 6, -4, -3, 3],\n [6, 3, 1, 3, 2, 1],\n [4, 3, -5, -3, -3, 5],\n [-5, 6, 1, -4, -5, 0]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 23925 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -1, 6, 6, -4, 6],\n [-4, -2, -4, 5, -3, 6],\n [6, -4, 0, -4, 3, -3],\n [-5, -5, 2, 4, -6, -6],\n [3, -6, -4, -5, -4, -2],\n [2, -5, 5, 4, -6, 4]]\n\nPresent the answer in LaTex format: \\bo... | 780541 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 6, 0, -1, 4],\n [0, 6, 6, -2, -6, -4],\n [-4, 0, 6, -4, 4, -2],\n [-3, -3, 6, 0, -6, 0],\n [1, -4, -4, -3, 6, -1],\n [0, -6, 6, -3, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed... | 1801694 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[4, 0, -3, -5, 0, -2],\n [0, -2, 0, -2, -2, 2],\n [-3, 0, 2, 1, 0, -2],\n [-5, -2, 1, 3, -6, 4],\n [0, -2, 0, -6, -4, 2],\n [-2, 2, -2, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | -179917 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, 2, -2, 2, 6, -1],\n [2, -5, -4, -3, 5, -2],\n [-2, -4, 2, -2, 0, -4],\n [2, -3, -2, -3, -4, -3],\n [6, 5, 0, -4, 0, -2],\n [-1, -2, -4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -453657 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-6, -4, 4, -2, -2, -2],\n [-4, -2, 2, -2, -2, 0],\n [4, 2, 5, -4, 0, 1],\n [-2, -2, -4, 2, -2, 0],\n [-2, -2, 0, -2, 2, -3],\n [-2, 0, 1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 79774 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -4, 0, 2, 2, 2],\n [-4, -2, -4, -1, 0, -1],\n [0, -4, -2, -1, 2, 5],\n [2, -1, -1, 4, 0, 0],\n [2, 0, 2, 0, -4, 3],\n [2, -1, 5, 0, 3, 1]], determine the value at position (6, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 8052 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-6, 5, -4, -5, -3, -5],\n [5, 4, 1, -6, -3, -2],\n [3, -3, 1, -5, 2, -5],\n [-5, 6, -5, 5, 3, 1],\n [-4, 3, 4, 3, 1, 0],\n [3, -3, 0, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -30215 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, 2, -4, 4],\n [-3, -2, -2, 0, 0, 1],\n [0, -2, 4, 2, 2, 0],\n [2, 0, 2, -6, 0, -2],\n [-4, 0, 2, 0, 6, -2],\n [4, 1, 0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 6934 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-3, 2, 3, -2, 6, 0],\n [2, 5, 1, 0, -5, 2],\n [3, 1, 1, 4, 4, 4],\n [-2, 0, 4, 2, 0, -2],\n [6, -5, 4, 0, 6, 1],\n [0, 2, 4, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 668885 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, 0, 2, -2, 4, -1],\n [0, -4, -3, -2, -3, 0],\n [2, -3, -2, 3, -2, -4],\n [-2, -2, 3, -5, -4, 0],\n [4, -3, -2, -4, 1, 2],\n [-1, 0, -4, 0, 2, -4]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 2414 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 1, -2, -1, -1],\n [0, -1, 0, 0, 0, 0],\n [1, 0, -5, -1, 3, -2],\n [-2, 0, -1, -1, 2, -4],\n [-1, 0, 3, 2, -1, 0],\n [-1, 0, -2, -4, 0, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 4236 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, -4, 4, 0, 0, 0],\n [-4, 6, -1, 6, 5, -1],\n [4, -1, -4, 1, -2, 3],\n [0, 6, 1, 3, -2, 0],\n [0, 5, -2, -2, -4, 2],\n [0, -1, 3, 0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 304953 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 0, 2, 2, 5, 0],\n [0, 2, -4, 6, -2, 0],\n [2, -4, 0, -4, 2, -4],\n [2, 6, -4, 0, -2, 2],\n [5, -2, 2, -2, 0, -2],\n [0, 0, -4, 2, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -46327 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, -3, -1, -6],\n [5, -1, 5, -4, 2, -3],\n [0, -3, 4, -1, 0, -5],\n [3, -1, 1, 6, 6, 5],\n [-1, -5, -3, -6, 0, 1],\n [3, -5, 3, -2, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 85212 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 1, -1, -2],\n [6, 4, -3, -2, 5, -3],\n [-6, -4, 1, 0, 5, 0],\n [4, -4, 2, -1, 1, 1],\n [-4, -3, -1, -5, 5, 5],\n [4, 5, 0, -5, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3154 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[5, -3, 2, 6, 6, -5],\n [0, 6, 0, 0, -6, 1],\n [-5, -2, -5, 6, -2, 0],\n [-1, 6, 5, -2, -3, 1],\n [4, 1, -6, 3, -5, -4],\n [6, -6, 4, -4, 3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 1409885 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 6, 6, 0, 0],\n [4, -2, 5, -6, 3, -3],\n [0, -2, -5, 1, -5, 4],\n [1, 6, 4, -5, 4, -2],\n [-3, -6, 5, 1, 3, 5],\n [-4, 6, -3, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 154624 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 1) of the result:\nA =\n[[2, -2, 0, 2, 0, 2],\n [-2, 1, 4, 2, 1, -2],\n [0, 4, -2, 6, -3, 2],\n [2, 2, 6, -2, -3, -2],\n [0, 1, -3, -3, -6, 2],\n [2, -2, 2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 6998 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[6, 4, -5, -5, 6, -3],\n [-6, 0, 6, -6, -4, 3],\n [0, 4, 5, 5, -1, 0],\n [-2, 1, -1, 5, -3, 4],\n [-6, -5, 5, -1, -3, -4],\n [0, 0, -5, 1, 4, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 45159 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 5th power of the matrix:\n[[4, 4, 2, -1, 4, -4],\n [4, 5, 1, -4, 0, 0],\n [2, 1, -2, 1, 0, -2],\n [-1, -4, 1, 0, -6, 6],\n [4, 0, 0, -6, 2, 0],\n [-4, 0, -2, 6, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 170442 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[5, -2, 2, 2, 0, -5],\n [-2, 5, 0, 1, -1, 4],\n [2, 0, -5, 6, 2, 2],\n [2, 1, 6, 4, -2, 4],\n [0, -1, 2, -2, -5, 2],\n [-5, 4, 2, 4, 2, -1]], determine the value at position (6, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 6028 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 2) of the result:\nA =\n[[1, -1, -3, -4, -5, 6],\n [-6, -5, -5, -2, 2, -6],\n [-3, 3, 0, 4, 3, -4],\n [1, -4, 1, 6, -5, -2],\n [-3, 4, 2, -4, 5, 4],\n [-2, 3, 2, 6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 17338 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-6, 0, 4, -1, 3, 0],\n [0, 0, -4, -4, -1, 0],\n [4, -4, -2, 4, -2, 2],\n [-1, -4, 4, 4, 4, 2],\n [3, -1, -2, 4, -1, 2],\n [0, 0, 2, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 108665 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -2, 0, 2, 0],\n [-4, -5, 0, -3, 4, -1],\n [-2, 0, -1, 6, 4, 0],\n [0, -3, 6, 6, -2, 0],\n [2, 4, 4, -2, -1, 0],\n [0, -1, 0, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{You... | 66208 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-2, -2, -1, -6, 1, -4],\n [-2, 0, -4, 3, 6, -1],\n [-2, 0, 3, 4, -4, 6],\n [-5, -3, -4, -3, 0, -2],\n [-3, -1, 0, 5, 4, -2],\n [5, 0, -4, 0, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 143049 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, 4, 2, 0, 0],\n [-2, 5, -4, 2, -2, 2],\n [4, -4, 6, 2, -1, -1],\n [2, 2, 2, 2, 0, -4],\n [0, -2, -1, 0, -3, 4],\n [0, 2, -1, -4, 4, 5]], determine the value at position (6, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -2700 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[-5, -2, 2, 3, 2, 0],\n [-2, 0, -4, 4, -2, 2],\n [2, -4, -6, 2, 4, -1],\n [3, 4, 2, -3, 2, 5],\n [2, -2, 4, 2, 6, 2],\n [0, 2, -1, 5, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1396 | MATH |
[
{
"content": "What is the value at position (5, 5) of the matrix A^5 where A is:\n[[-1, 3, 2, 6, 0, -6],\n [2, -4, 2, -3, 2, 6],\n [1, 0, -3, 2, -3, -6],\n [-1, -3, 3, -4, 5, -2],\n [-4, 4, 2, 5, -1, -4],\n [-2, 1, 1, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -82782 | MATH |
[
{
"content": "What is the value at position (6, 2) of the matrix A^5 where A is:\n[[-6, 0, 4, 5, -2, 1],\n [0, 0, -4, 2, 6, -2],\n [4, -4, 5, -2, 2, -4],\n [5, 2, -2, 4, -3, 1],\n [-2, 6, 2, -3, 4, 2],\n [1, -2, -4, 1, 2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -51170 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -4, 2, 2, 0, 1],\n [-4, 0, 1, 0, -1, 4],\n [2, 1, 1, 1, -2, -4],\n [2, 0, 1, 3, 4, 2],\n [0, -1, -2, 4, 3, 0],\n [1, 4, -4, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 408456 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 6, -5, 0, -6, 6],\n [3, -2, 2, 6, 6, -6],\n [1, 2, 2, 1, -3, 0],\n [-6, 0, -1, -2, -6, 1],\n [3, -6, -6, -4, 6, 1],\n [1, 0, -2, 1, -5, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 50466 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, 5, -6, 4, -2, 4],\n [5, -3, 0, -3, 0, 2],\n [-6, 0, 5, -2, 0, -4],\n [4, -3, -2, 0, -2, 1],\n [-2, 0, 0, -2, -5, 3],\n [4, 2, -4, 1, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 70460 | MATH |
[
{
"content": "Find the value at position (2, 6) of the 5th power of the matrix:\n[[-2, 0, 0, 1, 0, 1],\n [0, -6, -4, 2, -2, 5],\n [0, -4, 2, 0, 2, -6],\n [1, 2, 0, -1, 0, -4],\n [0, -2, 2, 0, 2, 0],\n [1, 5, -6, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 102142 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 2, -2, -1],\n [2, 1, 0, 6, 0, 0],\n [-2, 0, 4, -1, 4, 0],\n [2, 6, -1, -3, -5, 0],\n [-2, 0, 4, -5, 4, 4],\n [-1, 0, 0, 0, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 130838 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 4, 0, 1, -6, -4],\n [4, -1, 2, 0, -2, 0],\n [0, 2, 5, -4, -2, 0],\n [1, 0, -4, 3, 0, 4],\n [-6, -2, -2, 0, -3, -2],\n [-4, 0, 0, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{You... | 1366740 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[5, 3, 2, 0, -6, 0],\n [-2, 3, 6, 6, 0, 5],\n [2, 1, -1, -5, 1, 5],\n [-3, 1, 0, -3, 1, 4],\n [4, 5, 4, -5, 2, -1],\n [0, 3, -6, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 50715 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[5, 0, -6, 2, -2, 6],\n [5, -4, 0, 3, 1, 3],\n [3, -4, 0, 0, -3, 3],\n [2, -6, -6, -2, 6, -4],\n [3, 6, 2, -2, 0, -6],\n [-5, 4, 5, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1225 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 2) of the result:\nA =\n[[-2, 2, 1, -5, 0, -6],\n [3, 4, 4, 2, -4, 6],\n [-5, -3, -3, -4, -5, -2],\n [-3, -2, 6, 5, 5, 1],\n [4, -5, 2, 3, -6, 1],\n [5, -2, -5, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -205 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 5, -5, 1, -4, 4],\n [5, 3, 0, -3, 2, -2],\n [-5, 0, 6, 1, 1, 4],\n [1, -3, 1, -1, -4, -3],\n [-4, 2, 1, -4, -3, 2],\n [4, -2, 4, -3, 2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -5634 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, -3, -4, 5],\n [6, -3, 1, 5, -2, 6],\n [4, -6, -2, 1, 4, 5],\n [-3, -5, 6, -4, 4, 2],\n [0, -4, -2, -4, 3, -3],\n [5, 1, -4, -4, 4, 4]], determine the value at position (6, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | -1300 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, 3, 6, 3, 0, 0],\n [3, -5, 5, 0, 3, 4],\n [3, -4, 0, 6, -3, 6],\n [1, 1, -1, 6, 5, -4],\n [-1, -1, -4, 4, -3, -5],\n [-6, -5, 0, 3, -2, 2]], determine the value at position (6, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | -52 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 5) of the result:\nA =\n[[-4, -1, 2, -4, 3, -2],\n [-1, -1, -1, 2, 2, -3],\n [2, -1, -6, 0, 0, 0],\n [-4, 2, 0, 3, 2, -2],\n [3, 2, 0, 2, 1, -1],\n [-2, -3, 0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -6600 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, -3, -1, -2, 5, -5],\n [1, -4, -2, 1, 4, 2],\n [6, 2, -2, -5, 0, 4],\n [4, 0, 5, 6, 1, 1],\n [-2, -6, 6, 4, 6, -3],\n [-3, 4, -4, 1, -4, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -46391 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 5th power of the matrix:\n[[-2, -5, -1, -1, 1, 1],\n [-6, -2, -5, 3, 5, -2],\n [3, 5, 2, -3, 1, -6],\n [1, -1, 1, -1, 4, -4],\n [5, 4, 1, -2, 5, 3],\n [-2, 5, 0, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 12701 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, 4, 4, 5, -2, 2],\n [4, 6, 3, -5, -6, 4],\n [1, 1, -5, 6, 1, -2],\n [-5, 0, 0, -4, -6, 4],\n [-3, -5, -3, 1, -5, -6],\n [4, -4, 3, 0, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 596257 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 1, -4, -4],\n [3, 6, 1, 5, 6, 6],\n [0, 3, -2, -3, -1, 2],\n [-1, 1, -6, 5, -1, -5],\n [-4, -1, -5, -3, -1, -2],\n [-1, -1, 1, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 8449 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -3, 0, -4, 6],\n [-4, -6, 0, -4, -2, -2],\n [-3, 0, 5, 5, -1, 0],\n [0, -4, 5, 0, 0, -6],\n [-4, -2, -1, 0, 5, 2],\n [6, -2, 0, -6, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 144569 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 1, 0, -2],\n [0, -5, 0, 3, 3, 0],\n [-1, 0, 5, 0, 2, -5],\n [1, 3, 0, 5, 3, -2],\n [0, 3, 2, 3, 0, 0],\n [-2, 0, -5, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19043 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-4, -1, -2, -3, 3, 2],\n [4, 1, 5, 0, 4, -6],\n [2, 2, -1, 0, 6, -4],\n [-2, 0, -6, 5, -6, -2],\n [2, 0, -6, 6, 6, 5],\n [-2, 1, 1, 5, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 1456642 | 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, 2, -4, -6, 6],\n [-3, 0, -6, -5, -2, 2],\n [-6, 5, -3, 5, -4, -2],\n [-2, 3, -5, -2, 2, -2],\n [4, 3, -5, 0, -1, 0],\n [1, 3, -2, -5, 0, 0]]\n\nPresent the answer in LaTex format: \\boxe... | 46318 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 3) of the result:\nA =\n[[1, 0, 4, -3, 5, 2],\n [0, -5, -1, 0, 2, 2],\n [4, -1, -4, -4, 4, -4],\n [-3, 0, -4, -6, -4, -2],\n [5, 2, 4, -4, 3, 2],\n [2, 2, -4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 65014 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[6, -3, 1, -1, -3, 1],\n [-3, -2, 4, 0, -2, -2],\n [1, 4, -2, 0, -2, 3],\n [-1, 0, 0, -2, 2, -2],\n [-3, -2, -2, 2, -5, 3],\n [1, -2, 3, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4899 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 4) of the result:\nA =\n[[-1, -5, -1, -1, 1, -2],\n [-6, 1, 5, 2, -6, -2],\n [5, -1, -3, 4, -5, -2],\n [-3, 6, 0, -1, -4, 2],\n [-3, 4, -2, -4, 1, 4],\n [0, 4, 4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 8351 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -4, 6, -6, 2],\n [0, -3, 6, 2, -2, -2],\n [-4, 6, -1, 5, 0, 3],\n [6, 2, 5, 0, 1, -4],\n [-6, -2, 0, 1, -5, 2],\n [2, -2, 3, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39088 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[5, 2, 2, -2, 1, -4],\n [2, 1, 0, -1, -2, 0],\n [2, 0, 3, -3, 0, -2],\n [-2, -1, -3, 1, -4, 0],\n [1, -2, 0, -4, 4, 0],\n [-4, 0, -2, 0, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 535003 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -4, -2, 2, -2],\n [-3, -4, 4, 5, -4, -4],\n [-4, 4, 5, 0, -2, 2],\n [-2, 5, 0, -2, 4, -2],\n [2, -4, -2, 4, -5, 2],\n [-2, -4, 2, -2, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 34807 | MATH |
[
{
"content": "Find the value at position (5, 5) of the 4th power of the matrix:\n[[0, 1, 4, 1, -2, -2],\n [1, 1, 0, 5, -1, 4],\n [4, 0, -6, 0, -1, -1],\n [1, 5, 0, -3, 0, -2],\n [-2, -1, -1, 0, 0, -4],\n [-2, 4, -1, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 1028 | 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, 6, 4, -2, 0],\n [-6, -4, -5, 4, 3, -1],\n [4, 5, -1, 3, -6, -1],\n [3, -5, 4, -3, -1, -4],\n [-4, 5, -4, -3, 2, -3],\n [6, -3, -3, 0, -2, 5]]\n\nPresent the answer in LaTex format: \\box... | 1871310 | MATH |
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