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^5 where A is:\n[[0, 0, -2, 0, -4, -4],\n [0, 1, -4, -2, 3, 2],\n [-2, -4, -5, 2, -2, -4],\n [0, -2, 2, -2, 0, -2],\n [-4, 3, -2, 0, -1, 4],\n [-4, 2, -4, -2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -272889 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-2, -1, -3, -2, 2, -4],\n [-1, -3, 1, 1, -2, 2],\n [-3, 1, -5, 0, 1, -1],\n [-2, 1, 0, 5, -2, 0],\n [2, -2, 1, -2, -1, -4],\n [-4, 2, -1, 0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -25132 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, -6, 6, 0, 2],\n [5, 6, -4, -4, 1, -3],\n [1, -2, -4, -3, -3, 1],\n [-1, 0, 2, -1, -4, 6],\n [-4, 4, -4, 5, 3, -5],\n [-6, 4, 3, -6, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 48038 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 5, 0, 2, 6, 1],\n [5, 2, 6, 1, 2, 0],\n [0, 6, -4, -2, 2, -4],\n [2, 1, -2, -1, -2, -2],\n [6, 2, 2, -2, -1, -3],\n [1, 0, -4, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 56511 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^5 where A is:\n[[-3, -2, -5, 3, 3, 1],\n [3, 0, 3, -1, 0, 5],\n [-6, -2, 0, -6, -5, 2],\n [5, -4, -1, 0, 2, -2],\n [-3, 4, 5, -5, -4, -2],\n [4, 6, -5, 6, -3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -5736 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, 0, 0, 0, 4, 0],\n [0, -1, -2, 0, -1, 1],\n [0, -2, 0, -2, 0, 3],\n [0, 0, -2, 6, 3, 0],\n [4, -1, 0, 3, -3, 0],\n [0, 1, 3, 0, 0, 1]], determine the value at position (6, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 304 | MATH |
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 3, 2, -2, 0, 4],\n [3, 5, -2, 0, -2, -2],\n [2, -2, -3, -4, 2, 0],\n [-2, 0, -4, -3, 0, 6],\n [0, -2, 2, 0, -2, 2],\n [4, -2, 0, 6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -174 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 1) of the result:\nA =\n[[-2, 2, -2, -5, -2, 0],\n [2, 0, 0, 4, -3, 0],\n [-2, 0, 1, 0, -2, 3],\n [-5, 4, 0, 0, 2, 4],\n [-2, -3, -2, 2, 1, 0],\n [0, 0, 3, 4, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -3386 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, 0, 6, 4, 6, -4],\n [-4, -2, 4, -1, -5, -4],\n [-1, -4, -2, 2, 5, -4],\n [5, 4, 6, 6, -1, 4],\n [-2, -2, 4, -1, -1, -6],\n [4, 2, -2, -6, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 20408 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, -6, 2, 4, 2],\n [1, -2, -4, 1, -6, -4],\n [5, 4, 0, -3, 0, 5],\n [4, 6, -2, -1, 0, 6],\n [3, 5, 0, 0, 0, 4],\n [6, 6, 0, -4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29173 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -5, -5, -4, -3, -1],\n [6, 1, 3, 3, 0, -3],\n [-5, -5, -3, -1, -4, -1],\n [-2, -2, -5, 1, -2, 4],\n [-5, 0, 6, 2, 2, -6],\n [0, 2, -1, -6, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | -1567 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -2, -3, -4],\n [-2, 3, -2, 2, 4, 2],\n [0, -2, -2, -2, -2, 1],\n [-2, 2, -2, -4, -2, 0],\n [-3, 4, -2, -2, -5, -2],\n [-4, 2, 1, 0, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | -743414 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, -2, -3, 0, 0, -4],\n [-2, -4, -6, 5, -1, 1],\n [-3, -6, 5, -5, 4, -2],\n [0, 5, -5, 4, 2, 4],\n [0, -1, 4, 2, 5, 0],\n [-4, 1, -2, 4, 0, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52352 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 6, 1, -2, -4],\n [0, -6, 1, -2, 0, -2],\n [6, 1, 0, 4, -2, 2],\n [1, -2, 4, -5, -2, 2],\n [-2, 0, -2, -2, -6, -6],\n [-4, -2, 2, 2, -6, -1]], determine the value at position (6, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 6745 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -2, 3, 5, 5],\n [-3, -6, -4, 6, 5, -3],\n [-5, 5, -5, -5, 4, -6],\n [3, -5, -1, -4, 3, -2],\n [-6, 1, 6, -3, 2, -3],\n [-5, -4, -2, 5, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -6035 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^4 where A is:\n[[6, -1, 0, -3, 0, 3],\n [-4, 0, -3, 6, 6, 1],\n [2, 0, 1, 1, -5, 2],\n [-1, 4, -3, -2, 3, -2],\n [0, 2, 0, 2, -3, 3],\n [3, -3, -1, 1, 2, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -644 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-6, 5, 0, 0, -2, 4],\n [5, -4, 3, 6, 1, -4],\n [0, 3, -6, 2, -3, 0],\n [0, 6, 2, 1, 0, 3],\n [-2, 1, -3, 0, -2, 6],\n [4, -4, 0, 3, 6, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -24918 | MATH |
[
{
"content": "Find the value at position (2, 6) of the 5th power of the matrix:\n[[-6, 0, -6, -2, 0, 0],\n [0, -2, 2, 2, -4, -2],\n [-6, 2, -4, -3, 4, -1],\n [-2, 2, -3, 2, 2, -2],\n [0, -4, 4, 2, 0, -2],\n [0, -2, -1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -4234 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 1) of the result:\nA =\n[[5, 2, -6, 2, 0, -1],\n [2, 5, 0, 3, 4, 4],\n [-6, 0, 0, 4, 2, -2],\n [2, 3, 4, -3, 1, 2],\n [0, 4, 2, 1, 3, 1],\n [-1, 4, -2, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 2140 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 4, -1, -2, 4, -4],\n [4, 1, 0, 1, -1, -4],\n [-1, 0, 6, -2, 4, 1],\n [-2, 1, -2, 2, 0, -2],\n [4, -1, 4, 0, 6, -5],\n [-4, -4, 1, -2, -5, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 2079544 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -3, 5, -3, -1, -1],\n [3, -1, -6, 3, 2, 4],\n [0, 0, 4, 0, -5, -5],\n [-1, 0, -4, 6, -3, 5],\n [-4, 0, 0, -3, 6, 0],\n [-2, -6, 3, -3, 0, 6]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | -3040 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 5) of the result:\nA =\n[[-5, 0, -2, 0, -1, 2],\n [0, 1, -1, -5, -3, 4],\n [-2, -1, -1, 0, 2, -4],\n [0, -5, 0, 3, -1, 2],\n [-1, -3, 2, -1, 1, 2],\n [2, 4, -4, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | -4783 | MATH |
[
{
"content": "What is the value at position (5, 4) of the matrix A^4 where A is:\n[[5, -6, -3, -5, 2, -2],\n [-4, -3, -1, 3, -6, 0],\n [1, 0, 0, 2, 6, -3],\n [0, 2, -2, -5, -2, -3],\n [1, -2, 2, 2, -4, 6],\n [3, -1, -1, -3, 4, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -4640 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 5) of the result:\nA =\n[[3, -4, -6, 5, 0, -2],\n [3, 0, -6, 1, -4, 0],\n [5, -4, -4, 3, 2, 6],\n [-5, -3, -1, -4, 5, 3],\n [3, 0, 0, -2, -4, -5],\n [-3, 6, -3, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | -1273 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[6, -2, 6, -1, 1, -6],\n [-2, -3, -3, 4, -5, 3],\n [-6, -1, 0, -2, 1, 2],\n [4, 4, -5, 4, 6, -3],\n [4, 2, -2, -4, -1, -4],\n [-2, -4, -1, 5, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -99533 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[2, -4, -1, 1, 0, -1],\n [-5, 0, 1, -6, 2, -3],\n [1, 3, 0, 6, 3, 0],\n [-5, -6, -3, 5, -5, 1],\n [3, 0, 1, 4, -1, -6],\n [6, 6, 5, 2, -1, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 196610 | MATH |
[
{
"content": "What is the value at position (4, 6) of the matrix A^4 where A is:\n[[6, 3, -6, -6, 1, -1],\n [1, 1, 4, 1, 3, 0],\n [0, 3, -3, 2, 5, -5],\n [4, 2, 3, -4, 6, -5],\n [6, -3, -2, -5, 6, -6],\n [3, 4, -2, 2, 5, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6731 | MATH |
[
{
"content": "What is the value at position (6, 1) of the matrix A^4 where A is:\n[[-2, 5, -1, 2, -2, 0],\n [5, 3, -2, 0, -2, -1],\n [-1, -2, -4, 0, -3, 4],\n [2, 0, 0, 2, -1, 0],\n [-2, -2, -3, -1, -6, -4],\n [0, -1, 4, 0, -4, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 128 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -3, -2, 6, 4],\n [2, -1, 3, 5, 2, 2],\n [0, 5, 3, 2, -2, -2],\n [5, 1, 3, -3, 2, 0],\n [0, 6, -4, -3, 0, 4],\n [4, -2, 5, -4, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 26232 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, 3, 0, -5, 6, 5],\n [-3, -5, 1, 0, -6, -5],\n [-5, -3, -4, -6, 5, -5],\n [4, 2, 6, -6, 2, 0],\n [-5, -5, -2, 6, -2, -3],\n [5, 3, 3, 6, 5, -4]], determine the value at position (5, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 9911 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, -4, -4, 1],\n [0, 4, 0, -1, -4, 2],\n [0, 0, 0, -2, 2, -3],\n [-4, -1, -2, -4, 0, 0],\n [-4, -4, 2, 0, 1, 0],\n [1, 2, -3, 0, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 380 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[-4, -3, -6, 1, -6, -2],\n [-1, -5, 0, 0, -6, -3],\n [5, 6, -3, -2, -6, -6],\n [0, 2, -6, -5, -1, -1],\n [-5, 2, -3, 6, 0, -1],\n [4, 6, 4, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -56432 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, -5, -1, 0, 2],\n [0, -6, 2, -2, 0, 0],\n [-5, 2, 3, 2, 1, -4],\n [-1, -2, 2, 0, 6, 0],\n [0, 0, 1, 6, 2, 2],\n [2, 0, -4, 0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | -312 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 6, -6, -6, -3, -4],\n [0, 4, -4, -6, 5, 4],\n [3, -5, 3, 6, -3, -6],\n [-6, 5, 1, 0, 1, 6],\n [-3, -1, 6, -4, 4, 6],\n [1, -3, -4, -3, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -13326 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[0, 0, 5, -3, 1, 0],\n [-5, 6, 1, 2, -2, -3],\n [-3, 6, -3, -1, 4, -3],\n [0, 0, -2, 6, -2, 3],\n [1, 0, 0, -1, 0, 0],\n [3, -5, 3, -5, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 390379 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, -2, -6, -5],\n [6, 2, 1, 1, 3, -6],\n [-1, 2, 1, -4, -3, -4],\n [-1, 2, 1, 6, 3, -3],\n [-5, 6, 1, 1, 5, 4],\n [-1, 1, 2, 6, -6, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 314 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, -2, 1, -2, 4],\n [2, 1, -2, 6, -6, 0],\n [-2, -2, -4, -2, -4, 4],\n [1, 6, -2, 0, 0, 0],\n [-2, -6, -4, 0, -6, 2],\n [4, 0, 4, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 3173097 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, 4, 2, 0, -6, -6],\n [-3, -3, -6, -1, 3, -5],\n [4, -2, 1, -4, 2, 0],\n [2, -6, -2, 5, 6, -4],\n [-3, -3, 4, 5, 0, 3],\n [4, 1, 4, 3, -2, 6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -1843 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[6, 0, 4, 2, 0, -3],\n [0, 5, 2, -3, -1, 2],\n [4, 2, -2, 4, 0, -2],\n [2, -3, 4, 4, 5, 2],\n [0, -1, 0, 5, -1, 2],\n [-3, 2, -2, 2, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 350082 | MATH |
[
{
"content": "What is the value at position (1, 5) of the matrix A^5 where A is:\n[[1, 1, 0, 1, -5, -4],\n [2, -6, 1, 1, 0, 6],\n [4, -2, -3, 3, 3, 6],\n [3, 3, -1, 5, 4, -6],\n [6, -2, -3, -3, 0, 2],\n [1, 4, 6, 5, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4679 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -5, 2, 1, -3, -2],\n [-5, -4, 2, 2, 0, 3],\n [2, 2, -5, 2, 4, -4],\n [1, 2, 2, -6, 1, -1],\n [-3, 0, 4, 1, 1, -6],\n [-2, 3, -4, -1, -6, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 95958 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[2, -4, -3, 0, 0, 2],\n [-4, -1, 2, 1, -2, 6],\n [-3, 2, 5, 4, 0, -1],\n [0, 1, 4, -1, -3, 3],\n [0, -2, 0, -3, -2, 0],\n [2, 6, -1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -56 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[6, -3, 6, -4, 2, 2],\n [-3, 1, 0, -1, -3, -2],\n [6, 0, -3, -2, -4, -2],\n [-4, -1, -2, 1, 0, 2],\n [2, -3, -4, 0, -4, 0],\n [2, -2, -2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25973 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, 4, 4, -2, 2, 5],\n [4, -5, 2, 2, -6, 2],\n [4, 2, 4, -1, 0, 5],\n [-2, 2, -1, -4, -4, -5],\n [2, -6, 0, -4, 4, 0],\n [5, 2, 5, -5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 1663486 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -5, -2, 0, 4, 4],\n [-4, 4, -3, -6, -4, 2],\n [3, -2, 1, -5, -4, 0],\n [3, -3, 2, 0, 4, 5],\n [-6, -3, 3, 4, -1, -1],\n [3, -1, -2, -4, -5, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 53376 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -5, -3, -4, 2],\n [0, -4, -3, -2, 0, 0],\n [-5, -3, -5, 4, -3, 0],\n [-3, -2, 4, -4, 0, 0],\n [-4, 0, -3, 0, 2, 3],\n [2, 0, 0, 0, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 885713 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 0, 0, -4, -4, 2],\n [0, -4, 0, 0, -2, 3],\n [0, 0, 2, 0, 0, -3],\n [-4, 0, 0, -4, 0, -4],\n [-4, -2, 0, 0, 3, 0],\n [2, 3, -3, -4, 0, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -152012 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-6, 1, -5, -4, 5, -5],\n [-3, -6, -4, -2, 3, -6],\n [-3, -1, -3, 0, 0, -1],\n [2, -5, 6, 3, 1, 1],\n [4, 3, 4, -3, -1, 4],\n [-1, -2, -6, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1356320 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-5, -3, 0, 2, -4, 0],\n [-3, 1, 2, 0, -3, 1],\n [0, 2, -5, 2, -5, 0],\n [2, 0, 2, 5, 2, 4],\n [-4, -3, -5, 2, -2, 0],\n [0, 1, 0, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 77858 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-6, -2, -2, 2, 1, -3],\n [-2, -6, 1, 0, -6, -2],\n [-2, 1, 0, 2, 1, 4],\n [2, 0, 2, -5, 0, 0],\n [1, -6, 1, 0, -5, -4],\n [-3, -2, 4, 0, -4, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 1614664 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, 1, -1, -2],\n [-4, -1, 2, 0, -2, -1],\n [0, 2, 6, 0, -3, -2],\n [1, 0, 0, 1, 0, 2],\n [-1, -2, -3, 0, -2, -3],\n [-2, -1, -2, 2, -3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 51267 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, -3, 2, 0, -2, 0],\n [2, 3, -1, -6, -1, -6],\n [6, 5, -3, 1, -2, -2],\n [6, 3, 4, 1, 1, -6],\n [6, 6, -2, 5, -2, 1],\n [-6, 0, 0, 6, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 688702 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -4, -6, 1, -2, -1],\n [-4, -4, 2, 0, 2, 4],\n [-6, 2, 3, -6, 4, 2],\n [1, 0, -6, -6, -2, 1],\n [-2, 2, 4, -2, 1, -2],\n [-1, 4, 2, 1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 1523416 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, -2, -1, 2, 6, 4],\n [5, -3, -1, 6, -6, -5],\n [1, -3, 3, 0, -3, 2],\n [2, -3, 6, 1, -1, -6],\n [0, -6, -4, 1, 2, -4],\n [-6, -6, 0, -2, 6, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 428069 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-1, 0, -2, -3, 0, 1],\n [0, 5, -4, 0, 1, 0],\n [-2, -4, -3, 0, 4, -4],\n [-3, 0, 0, -5, -2, 1],\n [0, 1, 4, -2, 2, -4],\n [1, 0, -4, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -61922 | MATH |
[
{
"content": "Find the value at position (4, 6) of the 4th power of the matrix:\n[[1, 2, 4, 1, 0, -4],\n [-5, -4, -3, -3, -1, 5],\n [0, 5, -3, 3, -1, 2],\n [-1, -4, -6, 4, 3, 3],\n [6, -2, 3, 3, -4, 1],\n [3, -6, 4, -5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 4743 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 0, -2, 2, 2, 3],\n [0, 5, -4, 2, 2, 2],\n [-2, -4, -2, 1, 2, -2],\n [2, 2, 1, -2, -2, -4],\n [2, 2, 2, -2, 0, -3],\n [3, 2, -2, -4, -3, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 11254 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[0, 1, -3, -4, 0, -5],\n [-2, 6, 0, -6, -3, -5],\n [-1, 5, -6, 0, -4, 5],\n [-6, 1, 0, -5, 0, -4],\n [6, 2, 1, -2, 0, -4],\n [-6, -6, 4, -5, 1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -2245856 | 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, -2, 2, 5, 2],\n [-5, 0, 4, -6, -4, -1],\n [2, 3, -5, 0, -3, -5],\n [-4, -1, 3, 2, 1, 3],\n [4, 2, -3, 5, -3, 2],\n [1, 5, -5, 1, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{You... | 1109260 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 6, 2, 2, -4, -4],\n [6, -4, -2, -4, -2, 4],\n [2, -2, -4, 1, -2, -2],\n [2, -4, 1, 2, 0, -2],\n [-4, -2, -2, 0, 5, -2],\n [-4, 4, -2, -2, -2, -6]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 4232 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 5) of the result:\nA =\n[[3, -4, 4, -6, 2, 3],\n [5, 2, 0, 6, 5, 1],\n [-6, -2, -5, 6, -6, -4],\n [0, -6, 4, -5, -5, -3],\n [5, -4, -4, 3, -2, -4],\n [4, 0, -2, -3, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | -6439 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 4th power of the matrix:\n[[5, -3, 5, -5, -6, -4],\n [4, -5, -6, -6, -5, 6],\n [6, 2, 6, 6, -2, 2],\n [1, 6, 4, -1, -6, 3],\n [-2, 5, -6, 0, 3, 4],\n [1, 1, 0, -5, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -2838 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 3, 2, -3, 5, 1],\n [1, -5, -1, -2, -5, 5],\n [3, -3, 0, 6, -6, 2],\n [3, 5, -6, 5, -2, 0],\n [1, -5, -3, -5, -3, -1],\n [-1, 5, 6, -5, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 3146794 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -6, -5, -4, 6, 4],\n [-2, 4, 1, -1, -4, -1],\n [0, -1, 3, -1, -6, -4],\n [0, -3, 5, -3, 0, 2],\n [4, 6, 6, -5, 2, -4],\n [-1, -3, -6, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -3224 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -5, 0, -1, -5, -5],\n [-3, -3, -4, 1, 0, -5],\n [-4, 3, 2, 6, -2, -5],\n [-4, 1, -3, -5, -5, -1],\n [1, 0, -3, -5, 2, -3],\n [2, -2, 5, 5, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 27858 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 5th power of the matrix:\n[[0, 4, 0, -2, 0, -2],\n [4, 6, -2, 5, -2, 4],\n [0, -2, -2, 1, 0, -2],\n [-2, 5, 1, -2, -6, -2],\n [0, -2, 0, -6, -1, 6],\n [-2, 4, -2, -2, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 70670 | 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, -2, -2, 0, 2],\n [-1, 2, 2, 0, 2, 6],\n [-2, 2, 6, 2, 3, 2],\n [-2, 0, 2, 0, 2, 0],\n [0, 2, 3, 2, 3, 2],\n [2, 6, 2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 114543 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, -2, 2, 0, -2, -2],\n [-2, 6, -2, -1, -2, 0],\n [2, -2, 2, 2, 0, -1],\n [0, -1, 2, 6, 2, -2],\n [-2, -2, 0, 2, -3, 2],\n [-2, 0, -1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 5688 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-6, 1, 1, -4, 6, 2],\n [4, 6, 6, 4, 1, -4],\n [3, -2, -4, -2, 2, 5],\n [-3, -1, -4, -4, -2, 1],\n [1, -4, 1, 6, 4, 6],\n [1, -4, 3, 6, 3, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 1449334 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 0, 0, -1, 0],\n [-2, 5, -4, -2, -4, -2],\n [0, -4, -3, -4, 4, 2],\n [0, -2, -4, -6, -1, 1],\n [-1, -4, 4, -1, -4, 2],\n [0, -2, 2, 1, 2, -6]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 4710 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^5 where A is:\n[[6, 1, -1, -6, -3, -2],\n [0, 1, 2, 5, 5, -1],\n [3, 2, -3, 1, -4, -3],\n [3, -3, -1, 2, -1, -6],\n [-2, 2, -2, -1, -4, 1],\n [3, 4, 6, -3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -7668 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[5, -2, 3, 2, 6, 1],\n [0, -2, 2, 2, 3, 3],\n [-5, -3, 1, 6, -6, 6],\n [-2, 1, -5, -5, 6, 1],\n [3, 5, 2, 0, 1, -2],\n [-6, -3, -5, -4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | -188001 | MATH |
[
{
"content": "Find the value at position (1, 6) of the 5th power of the matrix:\n[[2, 6, 3, -3, -5, -4],\n [-4, 0, 1, 6, 4, 6],\n [-1, -3, -1, 6, 4, -6],\n [6, 3, 1, -6, -2, -5],\n [-1, 2, -2, -3, -5, 5],\n [-4, -1, 1, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -11484 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, 6, -4, 0, 6, -1],\n [-6, -3, -1, 4, -1, 4],\n [5, 5, -4, -1, 5, 3],\n [-1, 5, 2, 2, -5, -3],\n [2, 6, -3, 1, 3, 5],\n [-4, -4, 2, 4, 3, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | -2393 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-6, 0, -2, 0, 4, 0],\n [0, 1, 4, 0, 4, 0],\n [-2, 4, 6, 4, 2, -2],\n [0, 0, 4, -6, 4, 0],\n [4, 4, 2, 4, -2, -2],\n [0, 0, -2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 98209 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -5, -6, 5, 3, -5],\n [1, 4, 1, -4, 0, 0],\n [-5, 2, -4, -5, 5, -4],\n [-5, 1, -2, -4, -2, 4],\n [4, 1, 0, -1, 6, -6],\n [3, -6, -6, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 872745 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 4) of the result:\nA =\n[[0, -1, -3, -6, 2, -6],\n [-3, -4, 0, -2, -2, -3],\n [-6, -2, -3, 3, 6, 1],\n [-5, 1, -6, 6, -3, -4],\n [-2, 6, -2, -2, 5, -3],\n [1, -4, 5, -3, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your an... | 21666 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -5, 4, 0, -6, 4],\n [-4, 6, -1, -1, -1, 4],\n [6, -5, -5, -1, 3, -2],\n [0, 0, -2, 1, 3, -1],\n [-2, -3, 0, -3, -2, -2],\n [-6, -6, -4, 4, -4, -5]]\n\nPresent the answer in LaTex format: \\... | 91841 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[5, -5, -1, 6, -6, -1],\n [-2, -1, -2, 0, -6, 6],\n [-4, -1, -6, 6, 4, 4],\n [0, -3, -4, 3, 2, -6],\n [1, -6, 6, -2, 3, 1],\n [-1, 0, 4, 1, 6, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 73970 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, -1, 4, -1, -2, 1],\n [6, -5, 0, -3, -6, 6],\n [-2, -4, -3, 0, -2, -3],\n [-6, -1, 4, 3, -1, 0],\n [-6, -3, 5, 2, 5, 3],\n [-1, -5, -3, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -90686 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 5, 5, -4, -2, 0],\n [5, -3, -4, 4, -5, 0],\n [5, -4, 6, 1, 2, -3],\n [-4, 4, 1, -4, 0, 0],\n [-2, -5, 2, 0, -5, 0],\n [0, 0, -3, 0, 0, -4]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 36956 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -1, -1, 0, 4, 4],\n [-6, 0, -5, -1, 6, 1],\n [6, -2, 3, -4, 4, 1],\n [1, -3, 1, -2, 6, 4],\n [-2, -4, 0, 4, 4, 2],\n [2, -6, -6, 3, 5, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1134690 | MATH |
[
{
"content": "Find the value at position (5, 1) of the 5th power of the matrix:\n[[4, -2, -6, -3, 5, -6],\n [-5, -5, -3, 1, -5, 2],\n [5, 2, -5, -6, 3, 3],\n [2, -5, 1, -4, -6, 4],\n [-6, 3, -5, 0, 5, -1],\n [5, 4, -5, -3, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 30179 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[5, -2, -2, 2, 0, 2],\n [-2, 3, 2, 0, 4, -2],\n [-2, 2, 1, 0, 2, 4],\n [2, 0, 0, 2, 4, 0],\n [0, 4, 2, 4, -4, 2],\n [2, -2, 4, 0, 2, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27635 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[6, -1, -2, -2, -5, 0],\n [5, -3, -4, 1, -3, 4],\n [-3, 1, -6, 2, 0, 5],\n [-5, 4, 5, -1, 1, 4],\n [-2, -1, 5, 3, 1, 6],\n [-1, 5, 2, 5, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 133347 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, 0, 6, 4, -5, -2],\n [0, 5, 2, 0, 2, 2],\n [6, 2, -1, 2, -1, 2],\n [4, 0, 2, 0, 0, -2],\n [-5, 2, -1, 0, -1, 0],\n [-2, 2, 2, -2, 0, -5]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 3106 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -3, 1, 2, 0, -3],\n [-3, 2, -1, 1, 2, -2],\n [1, -1, -1, -6, 1, -2],\n [2, 1, -6, -5, -2, 0],\n [0, 2, 1, -2, 2, 0],\n [-3, -2, -2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 38133 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[5, -4, 3, 4, -1, -4],\n [-6, -3, -6, -5, -4, 1],\n [3, -3, -3, 6, 3, 2],\n [0, -5, -4, -3, -3, 3],\n [1, 3, 3, -1, -4, 4],\n [2, 3, 1, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 665376 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 6, 5, -2, 2, 2],\n [-4, 0, -1, -3, -2, 3],\n [-5, 4, 0, -3, -5, 4],\n [-1, 4, 5, -5, 3, -5],\n [0, -6, 0, 3, -2, -6],\n [-1, 0, -6, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed... | 488255 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, -2, -1, -5, 1],\n [-1, 4, 1, 0, 0, 3],\n [-2, 1, -6, 2, -3, 0],\n [-1, 0, 2, 6, 2, 4],\n [-5, 0, -3, 2, -4, 1],\n [1, 3, 0, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 78702 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, -1, 3, 6, -3, 1],\n [2, 3, -2, -5, -1, 4],\n [5, 1, 6, -2, -6, 1],\n [2, -6, 1, 3, 5, -5],\n [-3, 6, -5, -5, 3, -4],\n [1, -3, 0, 5, 3, -4]], determine the value at position (5, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 2400 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, 6, 6, 5, -2, -5],\n [6, 5, -2, 2, -2, -2],\n [6, -2, 6, 2, 6, -4],\n [5, 2, 2, -5, -1, 2],\n [-2, -2, 6, -1, 6, -2],\n [-5, -2, -4, 2, -2, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 4653463 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[6, 2, -2, -2, -4, -1],\n [2, 6, 1, -2, -3, 0],\n [-2, 1, 1, -4, 2, 3],\n [-2, -2, -4, 3, 2, -2],\n [-4, -3, 2, 2, -4, -5],\n [-1, 0, 3, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 33055 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, 0, 5, 0, -2, 3],\n [1, -5, -5, -2, -6, -1],\n [-3, -1, 0, 6, -4, 4],\n [6, 1, 0, 6, -6, -1],\n [0, 4, -3, -5, 3, 2],\n [0, -6, 1, -4, -3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 175234 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, -6, -1, 3, -1, -5],\n [4, 3, -1, 1, -1, -3],\n [-3, 2, -1, 1, 1, 0],\n [-4, 3, -6, -2, 6, 3],\n [3, -5, 5, 3, 6, -5],\n [0, 4, 6, -4, 6, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 109212 | MATH |
[
{
"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, 1, 0, 2, -3, -2],\n [1, 0, 4, -2, 5, 2],\n [0, 4, -6, 4, 1, 6],\n [2, -2, 4, -1, 2, -4],\n [-3, 5, 1, 2, 4, -2],\n [-2, 2, 6, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 20 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 4) of the result:\nA =\n[[-3, -5, -6, -4, -4, -2],\n [-6, 0, 6, -6, -3, -1],\n [-6, 0, 3, 0, -4, -3],\n [-1, 4, 0, 6, -3, 3],\n [4, 2, 2, 2, 5, 3],\n [-1, -5, -5, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | -21168 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -1, -5, -6, 5, -2],\n [1, 3, 3, -5, 3, 2],\n [5, 1, -4, -6, -3, 1],\n [-4, 3, 5, -5, 0, -3],\n [-1, -2, -5, 3, -5, 2],\n [4, 3, -5, 1, 1, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -35049 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 4, -2, -3, 2, 0],\n [4, 6, 0, -1, 0, 0],\n [-2, 0, 0, 0, 0, -4],\n [-3, -1, 0, -3, 0, -2],\n [2, 0, 0, 0, -1, 3],\n [0, 0, -4, -2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -159879 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, -4, -4, 1, -5],\n [2, -3, -1, -4, -4, -4],\n [4, 6, 3, 5, 5, -5],\n [1, 2, 1, 3, -4, 0],\n [4, 3, -5, -3, 5, 6],\n [6, -1, 4, -2, 6, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2885 | MATH |
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