messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (5, 6) of the matrix A^5 where A is:\n[[-3, 4, 4, 2, -5, 3],\n [4, 4, 4, 2, -2, 1],\n [4, 4, 0, -1, 3, 0],\n [2, 2, -1, -1, -2, 0],\n [-5, -2, 3, -2, 2, 2],\n [3, 1, 0, 0, 2, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1393 | 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, 0, 0, -2, 4],\n [-2, 3, 0, -4, 2, 5],\n [0, 0, 0, 3, 3, -4],\n [0, -4, 3, -5, 1, 1],\n [-2, 2, 3, 1, 6, -1],\n [4, 5, -4, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | 83189 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 0, 0, 3, -4],\n [0, 3, -3, 2, -3, -2],\n [0, -3, -5, -3, 2, -2],\n [0, 2, -3, -5, 1, 0],\n [3, -3, 2, 1, 4, -6],\n [-4, -2, -2, 0, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -21593 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 6, 0, -1, 2, -4],\n [6, -1, -3, 0, -6, -5],\n [0, -3, -2, 2, 0, 4],\n [-1, 0, 2, 6, -2, 2],\n [2, -6, 0, -2, -6, 1],\n [-4, -5, 4, 2, 1, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 140962 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 2, 2, 3, 2],\n [2, -4, 0, 4, 2, -1],\n [2, 0, 3, 3, -2, -6],\n [2, 4, 3, 3, -4, -6],\n [3, 2, -2, -4, 4, 2],\n [2, -1, -6, -6, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27562 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -4, 0, 2, -2, 2],\n [-4, 2, 3, -2, -3, 3],\n [0, 3, 0, -2, -2, 1],\n [2, -2, -2, -4, 2, 3],\n [-2, -3, -2, 2, -6, -2],\n [2, 3, 1, 3, -2, -5]], determine the value at position (1, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 2498 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 3, -2, 0, -1, 3],\n [3, 1, 2, -4, 0, 2],\n [-2, 2, -5, 4, 2, 2],\n [0, -4, 4, -4, 4, 5],\n [-1, 0, 2, 4, 3, -5],\n [3, 2, 2, 5, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 102086 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 1, 2, 2, 0, -2],\n [1, 1, 0, 0, -2, 1],\n [2, 0, 0, -6, 2, 3],\n [2, 0, -6, -4, 6, 1],\n [0, -2, 2, 6, 3, -3],\n [-2, 1, 3, 1, -3, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -1578 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 5th power of the matrix:\n[[5, -3, -1, 5, -4, 1],\n [-1, 3, -2, 6, -5, 3],\n [3, 0, -5, -6, 0, -2],\n [-6, -3, 5, 6, -3, 3],\n [0, 2, -5, 5, -6, -5],\n [0, 6, 3, -1, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -15549 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[6, -6, -2, -6, 5, 0],\n [6, 4, -6, -6, -5, 6],\n [4, 5, 3, -4, 6, 4],\n [-6, 2, 3, 1, -2, 6],\n [4, -5, -2, -1, -6, 4],\n [-3, 2, -5, -2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -3134 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, -1, 3, 2, 1, -2],\n [-1, 0, 2, 4, -4, 0],\n [3, 2, -1, -6, 0, -3],\n [2, 4, -6, -2, 1, 0],\n [1, -4, 0, 1, 3, 1],\n [-2, 0, -3, 0, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 917812 | MATH |
[
{
"content": "What is the value at position (5, 1) of the matrix A^5 where A is:\n[[4, -4, 0, -2, -4, 2],\n [-4, 3, -2, 3, -2, 0],\n [0, -2, -3, 3, 2, 0],\n [-2, 3, 3, -6, 1, 4],\n [-4, -2, 2, 1, 4, 2],\n [2, 0, 0, 4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -25660 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, -4, 3, 3, 2, -3],\n [0, 6, 2, -5, -5, 2],\n [5, 6, -4, 2, 6, -2],\n [-1, -5, 1, 4, 2, -5],\n [-1, -1, 1, 3, 5, -2],\n [2, -6, 2, 3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -9448 | MATH |
[
{
"content": "Find the value at position (6, 5) of the 5th power of the matrix:\n[[-4, -2, 0, -1, 4, 1],\n [-2, -4, 0, 4, 6, -1],\n [0, 0, -5, -1, -4, 0],\n [-1, 4, -1, 3, 2, -3],\n [4, 6, -4, 2, 5, -2],\n [1, -1, 0, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -42828 | MATH |
[
{
"content": "What is the value at position (6, 2) of the matrix A^4 where A is:\n[[-6, 0, 2, 2, 1, 2],\n [0, -3, -4, 1, 4, 0],\n [2, -4, 4, 2, 4, 2],\n [2, 1, 2, -3, 2, 4],\n [1, 4, 4, 2, 2, -2],\n [2, 0, 2, 4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -872 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[6, -2, 2, 2, -2, 1],\n [-2, -6, 0, 0, 4, 1],\n [2, 0, 3, 2, 5, 0],\n [2, 0, 2, -3, -6, 0],\n [-2, 4, 5, -6, -6, 4],\n [1, 1, 0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | -44355 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 2) of the result:\nA =\n[[4, -2, -3, 2, 0, -4],\n [-2, -6, -1, 3, -2, 0],\n [-3, -1, 6, 1, -3, 1],\n [2, 3, 1, -1, 2, 0],\n [0, -2, -3, 2, 1, -2],\n [-4, 0, 1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | -5954 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[2, 1, -4, 0, 2, 1],\n [1, 6, 4, -1, -4, 5],\n [-4, 4, -6, -3, -2, -4],\n [0, -1, -3, 2, -6, -3],\n [2, -4, -2, -6, 4, 1],\n [1, 5, -4, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -682712 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 4, 0, -3, -2],\n [3, -3, -1, -3, 0, 0],\n [4, -1, 3, -2, -3, 1],\n [0, -3, -2, 6, 2, 5],\n [-3, 0, -3, 2, -3, -2],\n [-2, 0, 1, 5, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7703 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[6, 0, 4, 1, -2, -1],\n [0, -4, 4, 0, 0, -4],\n [4, 4, 5, 0, 4, -6],\n [1, 0, 0, 2, 0, -4],\n [-2, 0, 4, 0, 2, -1],\n [-1, -4, -6, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 61155 | 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, -2, 2, -4, -4],\n [0, 2, -1, -5, -6, -5],\n [-6, 3, 3, 2, 3, 5],\n [6, 1, 0, -4, 1, -5],\n [-5, 4, 3, -4, 0, -6],\n [1, 5, 0, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 43720 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -6, -3, -6, -6, 3],\n [-6, 0, 0, -3, 6, 5],\n [-5, 5, -4, 1, 6, 1],\n [4, 4, -1, 3, 2, 4],\n [5, 2, -3, 5, -6, -6],\n [5, 3, -2, 6, -5, -1]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 105616 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -6, -1, 1, 5, -2],\n [5, 0, 3, -1, -3, 0],\n [3, 2, 3, 3, 6, 0],\n [5, -2, 0, -4, -5, 4],\n [-2, -3, -2, 1, 5, -3],\n [2, 0, 3, 6, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20821 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[6, 1, 2, 4, 1, 2],\n [1, 3, -1, -2, 2, 0],\n [2, -1, 4, -3, 1, -1],\n [4, -2, -3, 0, 3, -2],\n [1, 2, 1, 3, 2, -2],\n [2, 0, -1, -2, -2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 32775 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, -3, -5, 2, -4, 1],\n [-1, 6, -2, -6, -3, -4],\n [-6, 5, -2, -1, -5, -4],\n [4, -1, -3, 2, -2, -3],\n [-5, -1, 3, -5, 5, 6],\n [0, -4, 2, 4, -2, 1]], determine the value at position (3, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 942 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -1, 5, 3, 1, 6],\n [6, 4, 5, -4, -4, -2],\n [4, 3, -4, 1, 3, 6],\n [5, 1, -5, 5, -3, 3],\n [6, -6, -3, 5, 6, 6],\n [4, 6, -3, 3, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 123646 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 2, 2, -6, -1, 3],\n [1, -4, 4, 2, -5, -1],\n [-6, 6, 0, -4, 0, -3],\n [2, -2, -4, 1, -1, -5],\n [-4, 1, 3, 0, 3, -1],\n [-6, 2, -4, -2, 0, 0]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 380 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[-4, 0, 2, -3, 2, -2],\n [0, 0, 2, -1, 2, 2],\n [2, 2, 4, 2, 2, 2],\n [-3, -1, 2, 4, 2, 4],\n [2, 2, 2, 2, -1, 1],\n [-2, 2, 2, 4, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11498 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -5, 4, -6, 6, 0],\n [5, 3, 2, 4, 5, 5],\n [2, -4, -1, 0, 3, 2],\n [-5, 1, 0, -3, -5, 1],\n [4, -2, -1, 4, 0, 3],\n [-6, 1, -3, 6, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your ... | 44107 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 6) of the result:\nA =\n[[4, -6, 0, 2, 4, 0],\n [-6, -3, 2, 4, -4, 0],\n [0, 2, 4, -1, -4, 0],\n [2, 4, -1, 1, 1, 0],\n [4, -4, -4, 1, -2, 3],\n [0, 0, 0, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 9648 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-6, -4, 5, 4, -2, -2],\n [-4, -1, -2, -2, 2, 4],\n [5, -2, -2, 2, 2, -5],\n [4, -2, 2, -6, 0, -4],\n [-2, 2, 2, 0, 2, -5],\n [-2, 4, -5, -4, -5, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 5118 | 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, 0, -2, 2, 1],\n [0, 5, 1, 0, -6, 0],\n [0, 1, -3, -4, 0, 2],\n [-2, 0, -4, -6, -2, -4],\n [2, -6, 0, -2, -3, -4],\n [1, 0, 2, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 67834 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -1, 5, -6, 2],\n [5, 6, -4, 4, -1, 3],\n [6, 3, 4, 5, 2, 4],\n [6, -4, -2, 6, -2, 3],\n [0, -3, 4, -3, 0, 2],\n [4, -3, -3, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your... | 869680 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-6, 2, -1, -4, 0, 2],\n [2, -2, 0, -4, 2, -2],\n [-1, 0, -3, 0, 3, 3],\n [-4, -4, 0, -6, 4, 0],\n [0, 2, 3, 4, 5, -6],\n [2, -2, 3, 0, -6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 150412 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, -1, -2, 6, 2, 6],\n [4, 6, 4, -5, 3, 5],\n [1, 4, 3, 6, 2, -6],\n [0, 1, -4, -3, 6, -4],\n [0, 2, -4, 6, -1, 1],\n [-1, -5, 6, 0, -5, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -21890 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 4, -6, 4, -6, 0],\n [6, 5, -2, 4, -4, -6],\n [4, 3, -1, 4, -6, 2],\n [-5, -6, 5, 0, -1, -1],\n [-2, 4, -3, 4, -3, -4],\n [3, 1, 0, 2, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{... | 42024 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 4, 1, -5],\n [-2, -4, -3, -2, -4, 4],\n [-2, -3, 6, -4, 2, 3],\n [4, -2, -4, 3, 1, 0],\n [1, -4, 2, 1, -6, 2],\n [-5, 4, 3, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 10145 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, -5, 0, 3, 2, 1],\n [-5, -4, -5, -2, -4, 2],\n [0, -5, -3, 0, 3, 0],\n [3, -2, 0, -5, 1, -1],\n [2, -4, 3, 1, 2, -1],\n [1, 2, 0, -1, -1, 3]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 28215 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, -4, -4, 0, 2],\n [2, 6, 3, 4, -5, -6],\n [-4, 3, -1, 0, 0, -4],\n [-4, 4, 0, 5, -3, 6],\n [0, -5, 0, -3, -4, -2],\n [2, -6, -4, 6, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 32457 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 2, 0, 1],\n [-2, 2, 0, 1, 2, -3],\n [2, 0, -6, 0, -4, 3],\n [2, 1, 0, -5, 0, 4],\n [0, 2, -4, 0, 5, 0],\n [1, -3, 3, 4, 0, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9713 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-5, 1, -2, 0, -6, -2],\n [-6, 5, 6, 1, -3, -3],\n [-5, -2, -6, 2, -2, -1],\n [-5, 3, 3, -6, -3, 0],\n [-1, 3, -6, -6, 1, -3],\n [-2, 6, 0, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -823754 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, -3, 3, 5, -6, 3],\n [2, -4, 5, -4, 3, 2],\n [3, -4, 1, -5, 6, -4],\n [-5, -6, -5, 1, 2, 6],\n [-5, 0, -2, -4, 2, -1],\n [4, -6, -2, 0, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -5808 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 4, 0, 2, 0],\n [-4, -4, -2, 0, 2, 2],\n [4, -2, -6, 0, 0, -4],\n [0, 0, 0, 0, -2, 0],\n [2, 2, 0, -2, -6, 2],\n [0, 2, -4, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 9278 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 3, 1, -4, -2, 0],\n [-6, 0, 6, 5, 4, 1],\n [1, 2, -1, 5, -1, -5],\n [-4, -3, -3, 1, -6, 3],\n [-3, 4, 5, 6, 4, 4],\n [-3, -6, -4, -2, -1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | -5775 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 2, 4, -6, 5, 2],\n [6, 1, -5, 6, 4, -6],\n [-6, 5, -1, 2, 0, -2],\n [4, -5, -6, -5, -6, -4],\n [-1, 6, 1, -4, 3, 2],\n [3, -2, 0, 1, -4, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 81453 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-5, -2, -6, -5, 6, 2],\n [0, -1, 2, 0, 4, -2],\n [2, -1, -1, 4, -3, 6],\n [5, -6, -2, 4, 2, 6],\n [1, 1, -2, 5, 2, -4],\n [-4, -6, 2, -1, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -286 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 1, -2, -5, -1, 2],\n [1, 4, -4, 6, -2, 4],\n [-2, -4, -2, 1, 3, 0],\n [-5, 6, 1, 0, 3, -4],\n [-1, -2, 3, 3, -5, 0],\n [2, 4, 0, -4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 71158 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 3) of the result:\nA =\n[[-3, -6, 2, -2, -2, 0],\n [-6, -2, 4, 2, 2, 4],\n [2, 4, -6, 0, 2, -4],\n [-2, 2, 0, 2, 1, -1],\n [-2, 2, 2, 1, -6, -2],\n [0, 4, -4, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 113714 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 6) of the result:\nA =\n[[-2, 0, 6, 1, -2, -1],\n [0, 1, -2, 0, 4, 0],\n [6, -2, 6, -3, 0, 0],\n [1, 0, -3, -3, -4, 1],\n [-2, 4, 0, -4, 4, -1],\n [-1, 0, 0, 1, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1799 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 2, -3, -2, 0],\n [4, -6, 0, 1, -4, 2],\n [2, 0, -6, 0, 1, 0],\n [-3, 1, 0, 0, 0, -2],\n [-2, -4, 1, 0, -3, 0],\n [0, 2, 0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5211 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 2, 0, 0, 0],\n [-4, 6, 1, 4, -4, 0],\n [2, 1, -6, 0, 2, 4],\n [0, 4, 0, 0, 4, -2],\n [0, -4, 2, 4, 1, 1],\n [0, 0, 4, -2, 1, -5]], determine the value at position (4, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 844 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 3, 4, -4],\n [5, 1, 1, 5, -2, 1],\n [3, 1, -4, -5, 2, -5],\n [2, -3, 5, 6, -5, 3],\n [-6, -3, 2, 5, 2, -3],\n [2, 5, -1, -6, 3, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -3977 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-1, 2, 6, -5, -1, -5],\n [-3, 1, 6, 0, 4, 5],\n [6, 2, 0, -6, -5, -1],\n [0, -4, 2, 6, 0, -1],\n [6, -1, -6, 6, -2, 3],\n [-4, 0, 3, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 28188 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 6, 6, 3, -5, -1],\n [1, -3, 2, 5, 5, 1],\n [0, 0, -4, -1, 6, 6],\n [-2, -6, 4, -4, 6, 5],\n [-6, -3, 3, -4, 4, -3],\n [2, -4, 5, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 96044 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 2, -2, -2, 2],\n [4, 3, 6, 4, -4, -4],\n [2, 6, -5, 2, 3, -5],\n [-2, 4, 2, -6, -2, 2],\n [-2, -4, 3, -2, -2, 5],\n [2, -4, -5, 2, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 3292776 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -5, -6, -5, 0, 0],\n [3, -1, -2, -4, 5, -4],\n [4, 6, 5, 2, -3, 2],\n [-3, -5, -3, -1, -1, -2],\n [-6, -4, -2, -1, -6, 2],\n [-4, 3, 6, -4, 4, -5]]\n\nPresent the answer in LaTex format: \\b... | 439957 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, 6, 0, 1, 0, 2],\n [6, -3, 2, 2, 1, 1],\n [0, 2, -4, 5, 0, -3],\n [1, 2, 5, 1, 2, 4],\n [0, 1, 0, 2, 6, 3],\n [2, 1, -3, 4, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 799704 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^5 where A is:\n[[-5, -2, -4, 0, 2, 0],\n [-2, 4, -2, 2, 2, -2],\n [-4, -2, 6, -4, -4, -2],\n [0, 2, -4, -1, 0, 4],\n [2, 2, -4, 0, 5, -4],\n [0, -2, -2, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 16431 | MATH |
[
{
"content": "What is the value at position (4, 3) of the matrix A^5 where A is:\n[[-6, 2, 4, 0, -4, -3],\n [6, -1, -4, 5, 0, 6],\n [-1, 2, 5, -2, -3, -4],\n [3, -6, -4, -4, 0, 0],\n [6, 5, -6, -4, 6, 1],\n [2, 0, 0, 5, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -11244 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, 4, -4, -6, 0, -6],\n [-6, 2, 6, 3, 0, 6],\n [4, 6, -3, -1, -6, 0],\n [5, -1, -3, 0, -4, -6],\n [-3, -4, -6, -5, 4, -2],\n [1, -6, -3, -3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | -8377 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[6, 5, 1, -1, -6, 0],\n [-4, 6, 6, 6, -1, 1],\n [0, 3, -1, 2, 2, -6],\n [-6, -6, 1, 5, 6, 5],\n [3, 0, -4, 6, -5, -3],\n [-4, 0, 3, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{You... | 1247691 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -5, 5, 0, 4, 3],\n [0, -3, 6, 1, -3, 0],\n [-3, 6, 5, -2, 0, 6],\n [6, 3, -4, 3, -2, 4],\n [-4, -2, -4, 4, 3, 4],\n [0, 6, -6, 2, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 38956 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 6, 2, -4, 1],\n [0, 4, 5, 2, -4, 0],\n [6, 5, -4, 2, 0, 0],\n [2, 2, 2, -2, 0, 3],\n [-4, -4, 0, 0, -5, -4],\n [1, 0, 0, 3, -4, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 2072 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 3) of the result:\nA =\n[[2, -5, 3, 4, 6, -6],\n [3, 1, 2, 0, 1, -3],\n [-3, 6, -5, 1, 4, -5],\n [2, -3, -6, 6, -3, -4],\n [5, -1, 0, 1, -5, -1],\n [-1, 3, 5, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 13174 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, -4, -3, 3, 6, 2],\n [-3, -4, -5, -2, -3, 6],\n [6, 1, 0, -1, 4, 5],\n [-5, -4, 3, 2, 6, 2],\n [-2, -4, -5, 1, -1, 3],\n [4, 5, 0, -6, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 86560 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 4) of the result:\nA =\n[[-5, 3, -4, 5, -6, -2],\n [-4, -6, 1, 5, 4, -1],\n [2, -4, 2, 2, 5, 6],\n [5, -6, -4, -1, 1, -3],\n [-2, 2, -1, 5, 0, 0],\n [-3, -3, -3, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | -1184 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -5, 4, 0, -6],\n [-6, -3, 3, 0, -5, 4],\n [-5, -6, 3, -5, 6, 0],\n [2, -1, 3, -5, 5, 3],\n [3, 6, 2, 0, 4, -6],\n [5, 2, -5, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2162 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 5th power of the matrix:\n[[-4, -4, 2, 1, 3, -3],\n [-4, -1, 5, 2, 4, 2],\n [2, 5, 1, 6, 0, -2],\n [1, 2, 6, -6, 0, 4],\n [3, 4, 0, 0, 1, 0],\n [-3, 2, -2, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31869 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, 0, -4, 0, -2, 0],\n [0, -1, 0, 1, -1, 2],\n [-4, 0, -5, 1, 1, 4],\n [0, 1, 1, -5, 1, 0],\n [-2, -1, 1, 1, -3, 4],\n [0, 2, 4, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 555650 | MATH |
[
{
"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-4, -5, 2, 5, -5, -1],\n [-2, -2, -3, -1, -2, 4],\n [-3, 6, 2, 6, -1, 4],\n [3, 3, 6, 3, 6, -4],\n [3, -1, -6, -2, 3, -1],\n [4, 1, 4, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -553 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 1, -2, 2, 2, -1],\n [1, -3, 0, -2, -4, 1],\n [-2, 0, 4, 0, -4, -5],\n [2, -2, 0, -6, 3, 1],\n [2, -4, -4, 3, 4, -2],\n [-1, 1, -5, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 10646 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[0, 0, 5, 2, -1, -6],\n [1, -6, -4, 4, -2, 1],\n [2, 0, 2, 4, -4, 6],\n [-2, 3, 1, 5, -6, 1],\n [0, -6, 6, 6, 3, 5],\n [3, 5, -1, -6, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 59873 | MATH |
[
{
"content": "What is the value at position (4, 2) of the matrix A^5 where A is:\n[[-5, 4, -5, -2, 0, 4],\n [4, 6, -2, 4, 1, 4],\n [-5, -2, -5, -4, 2, 4],\n [-2, 4, -4, -6, 1, -6],\n [0, 1, 2, 1, 1, -2],\n [4, 4, 4, -6, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 50729 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, 0, 1, 2, 2],\n [3, 6, -4, 0, -1, 5],\n [0, -4, 3, -2, 1, 0],\n [1, 0, -2, 4, 0, -3],\n [2, -1, 1, 0, 6, 2],\n [2, 5, 0, -3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15004 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -6, -5, -5, 1, 1],\n [-5, 6, -1, -2, -4, -2],\n [-2, -2, -4, -4, -3, 0],\n [5, 5, 5, -5, 3, -3],\n [-3, -6, 3, 1, -6, 1],\n [0, 2, 1, -2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 482415 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 6) of the result:\nA =\n[[3, 5, 5, -4, 3, 0],\n [5, -3, -2, 2, 0, -3],\n [-1, 3, 4, 0, 6, 3],\n [6, 2, -3, 3, -4, 1],\n [-6, 2, 6, -6, -5, 6],\n [1, 2, 0, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -8499 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-5, 0, 0, 2, 6, 6],\n [0, 3, 0, 6, 0, 2],\n [0, 0, -3, 5, 0, 0],\n [2, 6, 5, 5, -1, -1],\n [6, 0, 0, -1, -5, 0],\n [6, 2, 0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 605127 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[5, -5, 0, 1, 2, -1],\n [-5, -4, 0, 2, 3, 2],\n [0, 0, 6, 2, 0, -2],\n [1, 2, 2, -4, 2, 2],\n [2, 3, 0, 2, -3, -1],\n [-1, 2, -2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3872 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 1, 5, -2, -3],\n [1, 0, -1, -2, -2, 6],\n [3, -5, 6, -3, 1, 1],\n [4, -6, -5, -2, 2, 3],\n [4, 5, 6, 4, 0, 3],\n [-2, -6, -1, 5, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 94883 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-5, 4, 0, 3, -2, 4],\n [4, -6, 2, 0, -4, -1],\n [0, 2, 6, 0, 0, 1],\n [3, 0, 0, -3, 2, -2],\n [-2, -4, 0, 2, -1, -1],\n [4, -1, 1, -2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 1527227 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[6, -3, 2, -5, -4, -5],\n [-5, 3, 4, 4, 1, -4],\n [0, 1, -4, -5, 6, 6],\n [1, -4, 0, 5, -6, 5],\n [-1, 5, 5, 6, 2, 5],\n [-4, 0, 6, -1, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 144233 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -3, 2, 1, 0],\n [-2, 1, 2, 3, 0, -4],\n [-3, 2, 3, 3, 0, 2],\n [2, 3, 3, -3, 0, -2],\n [1, 0, 0, 0, 5, 2],\n [0, -4, 2, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 243945 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 4, 5, 3, -3, 5],\n [1, 4, 2, -4, -2, -3],\n [5, 3, -1, 4, 3, -3],\n [1, -4, 4, -2, 6, -6],\n [6, -1, 4, -2, 1, 2],\n [1, 1, 5, 6, -4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 33354 | MATH |
[
{
"content": "Find the value at position (6, 5) of the 4th power of the matrix:\n[[4, 1, 2, -3, 4, 4],\n [1, 2, -2, 3, 4, -3],\n [2, -2, -5, 3, -2, 0],\n [-3, 3, 3, 2, 1, 1],\n [4, 4, -2, 1, -6, -2],\n [4, -3, 0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2875 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 5th power of the matrix:\n[[0, 4, -2, -2, 0, 4],\n [-4, -1, 0, -6, 5, -5],\n [5, -3, 6, 1, 4, 6],\n [3, -1, -6, 3, -2, 0],\n [6, -1, 6, 6, 5, 2],\n [1, -3, 6, 4, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 31860 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -2, 0, 2, 2],\n [-1, -3, 6, 1, -5, 4],\n [-2, 6, 4, -4, 1, 0],\n [0, 1, -4, -6, -2, -1],\n [2, -5, 1, -2, -1, 1],\n [2, 4, 0, -1, 1, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23702 | MATH |
[
{
"content": "What is the value at position (3, 1) of the matrix A^5 where A is:\n[[-6, -2, 5, -1, 1, 6],\n [-6, -2, -4, -5, 4, 1],\n [0, 3, 0, -2, 5, 6],\n [2, -2, -5, -4, -3, -2],\n [6, -4, 5, 0, -2, -2],\n [-1, 0, 3, 3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 17021 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, -3, -2, -2, 1, 2],\n [0, -2, -4, -6, 4, 2],\n [-2, 2, 3, 5, 6, -3],\n [-2, -3, -5, 5, -6, 1],\n [-3, -2, -1, 1, 4, 1],\n [0, -3, -1, -3, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2773 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[6, 5, 6, 6, 4, -6],\n [-2, 3, 5, 3, -3, 4],\n [0, 6, 2, -2, -3, 2],\n [-2, 2, 1, -3, 4, 4],\n [0, -2, 3, -3, -2, -2],\n [4, 2, 5, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -662 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, -3, 0, -2, 0, 0],\n [-3, -5, 4, -4, 2, -2],\n [0, 4, -5, -5, -3, 0],\n [-2, -4, -5, 0, -2, -2],\n [0, 2, -3, -2, -4, 6],\n [0, -2, 0, -2, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 43723 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 4, 4, -2, -6, 2],\n [-6, -1, -6, -4, 3, -2],\n [3, 0, 3, 1, 5, 2],\n [-1, 4, 2, 1, 2, 3],\n [-3, 2, 0, -2, -2, -6],\n [-5, 3, -4, 1, -1, 5]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | -421 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^5 where A is:\n[[3, 4, 6, -2, 6, -6],\n [5, 4, 5, 2, -4, -4],\n [-5, -3, 5, -5, 6, 2],\n [5, 3, 0, 1, -4, -1],\n [3, -1, 6, -6, -1, 6],\n [-4, 4, -4, -4, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -140190 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 3, 6, -2],\n [0, 6, 0, 0, 0, -4],\n [2, 0, 0, -1, 0, 2],\n [3, 0, -1, 5, -4, 3],\n [6, 0, 0, -4, 2, 4],\n [-2, -4, 2, 3, 4, 6]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 667 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, -4, -4, -1, -4, 4],\n [-2, -3, -4, 1, 3, -4],\n [-1, 6, 0, 0, -5, -4],\n [5, 3, 3, -3, 0, -5],\n [-4, 0, 0, 3, -4, 5],\n [-6, 5, -4, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -155 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[6, 0, 2, 4, 0, 0],\n [0, 5, -3, -1, 1, 2],\n [2, -3, 0, -6, -4, 3],\n [4, -1, -6, 5, -6, 0],\n [0, 1, -4, -6, 3, 0],\n [0, 2, 3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 1253864 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-6, 4, 3, 4, 1, 2],\n [4, -6, -1, 5, -3, 6],\n [3, -1, 4, -2, 0, -4],\n [4, 5, -2, 3, -1, -1],\n [1, -3, 0, -1, -6, 1],\n [2, 6, -4, -1, 1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 189723 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, 2, -2, 4, -2, 3],\n [2, 5, -2, 2, -3, 2],\n [-2, -2, 3, 4, 4, 2],\n [4, 2, 4, 1, -4, 3],\n [-2, -3, 4, -4, 2, 0],\n [3, 2, 2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 398116 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 6, -4, 5, 2, -3],\n [-3, -4, -2, -4, 2, -4],\n [-5, 5, -2, -1, -6, 5],\n [4, -1, 3, -4, -3, -1],\n [1, 2, -1, 0, -2, 5],\n [2, -3, 3, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 127522 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, -2, 6, -2, 2, -6],\n [-2, 0, 4, -1, -1, 5],\n [0, -1, -2, 3, -2, 2],\n [1, 5, 3, -3, -3, 3],\n [-2, 6, 6, -4, 1, 0],\n [-2, 3, -4, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 181816 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -6, -1, 3, -3, -3],\n [1, -5, -3, -5, -6, 3],\n [6, 6, -4, 5, 1, -1],\n [5, 0, -5, -1, 1, 1],\n [-3, -1, -2, 2, 1, -5],\n [5, 6, 0, 0, 4, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -23987 | MATH |
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