messages listlengths 1 1 | ground_truth stringlengths 1 7 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "What is the value at position (1, 2) of the matrix A^5 where A is:\n[[5, 1, -5, 5, -3],\n [0, 0, 0, 5, -4],\n [-4, 0, 4, -1, 1],\n [1, -1, 2, 4, 0],\n [-1, -2, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2219 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -5, -5, -3, 5],\n [-3, -4, -4, 0, -5],\n [0, -1, 0, -1, 1],\n [-5, -3, 0, -5, 5],\n [5, 1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 47855 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, -2, -2],\n [0, 2, 0, 0, 0],\n [2, 0, 5, 1, 2],\n [-2, 0, 1, -4, -1],\n [-2, 0, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5422 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, -2, -4, -2],\n [2, 4, 2, 0, -2],\n [-2, 2, 4, -1, -3],\n [-4, 0, -1, 4, -1],\n [-2, -2, -3, -1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 364 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, 5, -3, 4, -5],\n [-3, 3, -2, -3, 2],\n [-5, -1, -5, 1, -1],\n [-4, -5, 5, 1, -5],\n [-3, 5, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -39909 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 5, -5, 1, -4],\n [0, 2, -1, 4, -3],\n [5, 2, 2, -2, 2],\n [-1, 5, -1, -3, 1],\n [5, 5, 3, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 260352 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, 4, 5, -1, -5],\n [-2, -5, -4, -4, -2],\n [2, -4, 3, 3, -4],\n [-5, 4, 4, 3, -4],\n [2, -3, -5, 5, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52002 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -4, 0, 2, 4],\n [-4, -2, 0, -2, 0],\n [0, 0, -1, 1, 2],\n [2, -2, 1, 1, 1],\n [4, 0, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36930 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 2, 2, 2, 0],\n [2, 4, 0, 2, -3],\n [2, 0, 5, 0, 1],\n [2, 2, 0, -4, 0],\n [0, -3, 1, 0, 5]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2684 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -5, 3, 1],\n [-4, 5, 0, 2, 5],\n [-1, 0, 4, 2, 0],\n [3, 3, 3, 0, 3],\n [-3, -1, -4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14981 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, 0, 0, -1, -5],\n [5, 1, 4, 2, -5],\n [4, 1, -2, 0, 3],\n [-1, 2, -1, -4, -2],\n [-4, 1, 1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -29508 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, -2, 0, -1, 1],\n [-2, 0, -4, 0, 2],\n [0, -4, -5, -2, -1],\n [-1, 0, -2, 5, 0],\n [1, 2, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12067 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, 3, -2, -3, 4],\n [5, 0, -3, -5, -2],\n [-5, -4, -3, 2, 4],\n [-2, -2, 4, 3, 1],\n [-4, -3, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 877 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 4) of the result:\nA =\n[[2, 4, 4, 0, -3],\n [5, 3, 4, 2, 3],\n [-1, -3, -2, -1, 3],\n [3, -3, 1, 0, -2],\n [-1, 4, -4, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 422 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -4, 3, 0, 1],\n [-4, 4, 0, -2, -3],\n [3, 0, -1, -1, -1],\n [0, -2, -1, 1, -4],\n [1, -3, -1, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 256 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-2, 1, 5, -2, 3],\n [2, 2, -1, -5, 3],\n [-4, 0, 4, -1, 4],\n [2, 5, -3, 0, 0],\n [4, -3, 1, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3402 | MATH |
[
{
"content": "Find the value at position (3, 3) of the 5th power of the matrix:\n[[-1, 2, 0, 3, -3],\n [2, 3, 4, 1, -3],\n [0, 4, 2, -3, -4],\n [3, 1, -3, 2, 0],\n [-3, -3, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 46248 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, 2, -2, 1, 4],\n [-3, 4, 5, -3, -4],\n [0, 0, -5, 1, -2],\n [5, -3, 2, -4, 3],\n [2, 2, -3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23973 | 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, 0, -1, -5],\n [4, -5, 0, -3, -3],\n [1, -5, -5, 4, -3],\n [2, -5, 4, -2, 3],\n [-2, 4, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 34233 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 0, 0, -4],\n [2, -5, 2, 0, -2],\n [0, 2, 1, -2, -2],\n [0, 0, -2, -4, 0],\n [-4, -2, -2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9120 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 5, 2, 1, -5],\n [0, 1, 5, -2, -4],\n [4, 3, 1, -5, 2],\n [-3, -2, -1, -5, 0],\n [4, 0, -4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5662 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 2, 0, -2, -2],\n [3, 0, 2, 2, 1],\n [-3, 4, -5, -1, 4],\n [4, -4, 4, -4, 1],\n [5, -3, 2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8406 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -1, -3, -3, 1],\n [-1, 0, 0, 3, -5],\n [2, 4, -1, 0, 0],\n [-5, -3, 0, 5, 5],\n [3, 0, 0, -5, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 129478 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, -2, -2, -3, -2],\n [-2, -5, -2, -4, 1],\n [-2, -2, 1, 2, 3],\n [-3, -4, 2, 5, 2],\n [-2, 1, 3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7684 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[3, 4, 0, -4, -4],\n [5, -2, 3, -3, 0],\n [-4, -5, -1, 2, 4],\n [4, -4, 4, 3, 2],\n [-3, -5, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 157609 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[4, -4, 1, -2, 0],\n [-1, -4, 4, -4, 3],\n [5, 4, -4, 2, 2],\n [-5, -5, -2, -4, -5],\n [3, -3, -5, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -192734 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-1, 2, 2, 0, -4],\n [2, 5, 1, 0, 2],\n [2, 1, 5, -2, 1],\n [0, 0, -2, -4, 0],\n [-4, 2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 112038 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 0, -2, -1],\n [-4, -3, 0, 3, 2],\n [0, 0, 3, 4, 4],\n [-2, 3, 4, 4, -2],\n [-1, 2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 17687 | MATH |
[
{
"content": "Find the value at position (4, 5) of the 5th power of the matrix:\n[[4, -2, -1, -2, 2],\n [2, -3, -5, 0, -4],\n [-4, -3, 2, -3, 1],\n [4, 4, 3, 2, -5],\n [1, 1, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7191 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 3, 3, 2, 0],\n [0, -5, 0, -2, -2],\n [-4, 5, -2, -1, -1],\n [-1, -2, -5, 4, 2],\n [-3, -4, 3, 1, 3]], determine the value at position (4, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8456 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 4, 3, 5],\n [3, 4, 4, -2, 4],\n [-3, 0, -3, 5, 3],\n [-3, -4, 2, 0, 2],\n [1, -3, 2, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 166210 | MATH |
[
{
"content": "Find the value at position (5, 5) of the 4th power of the matrix:\n[[-5, 2, 1, 4, 0],\n [2, -1, -1, 4, 0],\n [1, -1, 3, 0, -1],\n [4, 4, 0, -3, -4],\n [0, 0, -1, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2406 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[5, -1, -2, -5, 3],\n [-2, -1, 1, -4, 2],\n [5, -4, 5, 4, -1],\n [-4, -4, -2, -2, 2],\n [0, 4, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7492 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, 3, -4, -5],\n [2, 4, 3, -5, 1],\n [-4, 0, 5, -1, -5],\n [-4, -4, 4, 4, 0],\n [5, -5, 5, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 12898 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[5, 0, 0, 0, -2],\n [0, 0, -5, 0, 4],\n [0, -5, -4, 0, 2],\n [0, 0, 0, -2, -2],\n [-2, 4, 2, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -956 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, 2, -2, -3, 1],\n [2, -2, 0, 0, -4],\n [-2, 0, -1, 0, 1],\n [-3, 0, 0, -1, 2],\n [1, -4, 1, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3744 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, -2, 4, 2, -1],\n [-2, 4, -2, 2, 0],\n [4, -2, 2, 2, 1],\n [2, 2, 2, -5, 4],\n [-1, 0, 1, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 374926 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 4, -1, 5, 3],\n [0, 2, 2, 1, -1],\n [-4, 4, 4, -1, 1],\n [1, 5, -4, 1, 0],\n [1, 5, 2, -2, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7922 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 5) of the result:\nA =\n[[2, 2, -3, -3, -1],\n [-3, -1, 2, -5, -4],\n [-4, -2, 3, -4, 5],\n [3, 1, 4, 2, -5],\n [-1, 3, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -706 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, 2, -3, -4],\n [0, -3, -5, -3, 0],\n [-3, 3, 1, -1, -4],\n [3, -1, 1, 3, -2],\n [3, -5, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10321 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, 0, -4, 1, 0],\n [0, 2, 0, -3, -2],\n [-4, 0, 5, -1, 1],\n [1, -3, -1, -3, 4],\n [0, -2, 1, 4, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 153536 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, 0, 4],\n [0, -3, 2, -2, 4],\n [0, 2, -2, -3, 2],\n [0, -2, -3, 3, 0],\n [4, 4, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3379 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 4) of the result:\nA =\n[[-5, -2, 0, 2, -2],\n [-2, -4, 0, 4, -2],\n [0, 0, -3, -4, 0],\n [2, 4, -4, -1, -2],\n [-2, -2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -766 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -1, -1, -2, 0],\n [-1, 5, 2, -1, -4],\n [-1, 2, -2, 4, -2],\n [-2, -1, 4, 5, 1],\n [0, -4, -2, 1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3384 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, 0, 5, 2, -4],\n [0, 5, 1, 2, -2],\n [5, 1, 2, 0, -4],\n [2, 2, 0, -4, -4],\n [-4, -2, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 68630 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 2, 3, 1, 2],\n [2, 0, -2, 0, -5],\n [3, -2, 0, 2, 4],\n [1, 0, 2, 4, 0],\n [2, -5, 4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 316187 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -5, -3, -5, -1],\n [-3, -4, -3, 3, 5],\n [2, -3, 5, -4, -1],\n [-5, -2, 2, -5, -1],\n [-2, 0, 1, 3, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10563 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[5, 2, 0, -2, 1],\n [2, 1, 2, 2, 3],\n [0, 2, 2, 0, 4],\n [-2, 2, 0, 2, 1],\n [1, 3, 4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 132599 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[5, 0, 5, -2, -4],\n [-4, -3, -4, -5, 2],\n [-1, 4, -5, 3, 2],\n [-2, 2, 4, 1, 5],\n [5, 1, -5, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 23389 | MATH |
[
{
"content": "Find the value at position (3, 1) of the 5th power of the matrix:\n[[4, 4, 2, 0, 0],\n [4, 1, 2, -2, 0],\n [2, 2, 1, 2, 0],\n [0, -2, 2, 4, 0],\n [0, 0, 0, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8186 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[-5, -4, -3, 1, -4],\n [-1, -4, 1, 4, 2],\n [2, 2, 4, 3, -5],\n [-5, 4, -4, 5, 0],\n [-5, -1, -1, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2402 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -5, 5, 5, 0],\n [1, 2, -4, 1, 0],\n [3, 2, 5, -2, 3],\n [-5, 5, 0, 2, 5],\n [5, -2, -4, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3682 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -5, -1, 0, -2],\n [-2, -1, -1, 3, 2],\n [3, -3, -3, -5, 4],\n [0, -2, 5, 2, -4],\n [5, -4, 1, -1, -5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5 | MATH |
[
{
"content": "What is the value at position (2, 3) of the matrix A^5 where A is:\n[[1, 1, 4, 0, -2],\n [2, 5, -4, -4, -4],\n [-3, 0, -5, 5, -4],\n [4, -4, -5, -3, 4],\n [1, -5, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3316 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 5th power of the matrix:\n[[-4, -2, 2, 0, 0],\n [-2, -1, -2, -2, 0],\n [2, -2, -2, 0, 1],\n [0, -2, 0, 5, -4],\n [0, 0, 1, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -3752 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 0, -4, 2, 4],\n [0, 0, -4, -4, 2],\n [-4, -4, 1, 1, -2],\n [2, -4, 1, 5, -1],\n [4, 2, -2, -1, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20548 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[1, -4, -1, 0, -4],\n [-4, -4, 0, 2, 3],\n [-1, 0, 4, 0, 2],\n [0, 2, 0, -3, 0],\n [-4, 3, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3582 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -3, -4, -2, 3],\n [-2, -1, 2, -4, 5],\n [-3, 0, 1, -2, -5],\n [1, 3, -5, -5, -5],\n [4, 1, 5, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 138891 | MATH |
[
{
"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[2, 3, -3, -3, -5],\n [-4, 1, -3, 1, -1],\n [4, 2, -1, -3, 3],\n [1, -1, 1, 5, 4],\n [3, -1, 1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 59 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 5) of the result:\nA =\n[[-5, -2, -5, 2, -3],\n [-4, -2, 5, -3, 5],\n [-1, 2, 4, 2, 5],\n [1, 2, -1, 4, 4],\n [5, 5, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5794 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[0, 0, 5, -1, -2],\n [-5, 5, 4, 5, 2],\n [0, -3, -3, 0, 1],\n [2, -1, 4, 0, -5],\n [0, 3, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1919 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-5, 5, 3, -2, -4],\n [-5, -3, 1, 5, 4],\n [-4, 3, 5, -4, -1],\n [2, 4, 2, -3, -4],\n [3, -3, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36928 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-5, 0, -1, 0, 1],\n [0, -3, -1, 2, 0],\n [-1, -1, -1, -2, -1],\n [0, 2, -2, -5, -2],\n [1, 0, -1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63085 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 0, 2, -2, 0],\n [0, 3, 3, 0, -4],\n [2, 3, 3, -2, 1],\n [-2, 0, -2, 5, -4],\n [0, -4, 1, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35804 | MATH |
[
{
"content": "What is the value at position (1, 1) of the matrix A^5 where A is:\n[[2, 0, 2, 0, -2],\n [0, -3, 0, -3, 2],\n [2, 0, 3, 0, -3],\n [0, -3, 0, 4, 0],\n [-2, 2, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5104 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 4) of the result:\nA =\n[[4, 0, -2, -4, 4],\n [0, -3, -2, 2, 2],\n [-2, -2, -3, 0, 0],\n [-4, 2, 0, 3, -4],\n [4, 2, 0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -79700 | MATH |
[
{
"content": "What is the value at position (3, 3) of the matrix A^5 where A is:\n[[4, -4, 2, 0, 0],\n [-4, 1, 2, -1, -2],\n [2, 2, -5, -2, -2],\n [0, -1, -2, -1, 0],\n [0, -2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -13525 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 2, 0, 2],\n [0, 5, -4, -2, 2],\n [2, -4, 0, 0, 4],\n [0, -2, 0, 4, -1],\n [2, 2, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 5886 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 2) of the result:\nA =\n[[5, 1, 2, 4, -4],\n [0, -1, -1, -3, -3],\n [0, 4, 4, 1, -5],\n [-3, -5, 4, -3, -1],\n [3, -3, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12108 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 2, 4, 1, 0],\n [2, -4, 2, -4, 2],\n [4, 2, 3, -1, 2],\n [1, -4, -1, 0, 0],\n [0, 2, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 203405 | MATH |
[
{
"content": "Find the value at position (1, 5) of the 5th power of the matrix:\n[[-1, 1, -2, -4, 3],\n [1, -1, -2, 0, -4],\n [-2, -2, 1, -1, 3],\n [-4, 0, -1, 1, 4],\n [3, -4, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 10798 | MATH |
[
{
"content": "What is the value at position (5, 4) of the matrix A^4 where A is:\n[[1, -4, -1, 0, 0],\n [-4, -1, 0, -4, -2],\n [-1, 0, 3, -2, -2],\n [0, -4, -2, 2, 0],\n [0, -2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 920 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^4 where A is:\n[[0, 0, -4, -4, -2],\n [0, -5, 0, -2, 1],\n [-4, 0, 2, -4, 2],\n [-4, -2, -4, 4, -2],\n [-2, 1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -127 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-3, 4, 5, -3, -1],\n [5, -1, -2, 2, 0],\n [0, -5, 0, -3, 0],\n [4, 5, 0, -4, -5],\n [5, -3, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20424 | MATH |
[
{
"content": "What is the value at position (1, 2) of the matrix A^5 where A is:\n[[-2, 2, 1, 4, 3],\n [-5, -1, -2, 0, -5],\n [0, -5, -5, 2, -4],\n [4, 0, 0, 0, 2],\n [-2, -3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7390 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[0, 4, -1, 5, 3],\n [5, 0, -3, 5, -1],\n [4, 2, 3, 2, -3],\n [3, -3, 2, 4, 3],\n [1, -2, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 228149 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 0, -4, -2],\n [-3, 2, -2, 0, -2],\n [0, -2, -5, 0, 0],\n [-4, 0, 0, 4, 0],\n [-2, -2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1712 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 5) of the result:\nA =\n[[1, 2, -1, 2, 1],\n [2, -1, 0, 2, 0],\n [-1, 0, -2, 4, 2],\n [2, 2, 4, 1, 1],\n [1, 0, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 223 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 0, 5, 2, -4],\n [0, 4, -2, 0, -2],\n [5, -2, -5, -1, 0],\n [2, 0, -1, 1, 0],\n [-4, -2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -875 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, 2, 2, 2],\n [-4, 5, 2, -4, 0],\n [2, 2, 5, 2, -4],\n [2, -4, 2, -3, 1],\n [2, 0, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3740 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -5, 3, 0, 0],\n [2, 5, -1, 3, 5],\n [-1, -4, 0, 3, -3],\n [4, -2, 4, 5, 2],\n [0, 1, 1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 196356 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, -3, 2, 1, -2],\n [4, -3, 1, 4, 3],\n [4, -3, 4, 3, 2],\n [-3, 2, -2, 0, 4],\n [-4, 2, 3, 1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1948 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 4, -1, -2],\n [1, 1, 1, 3, 3],\n [4, 1, -5, 0, 4],\n [-1, 3, 0, -5, 0],\n [-2, 3, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26972 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[3, -5, -2, -2, -3],\n [1, -5, 3, 2, -4],\n [-4, 2, 5, -5, 1],\n [3, -3, 1, 0, 1],\n [1, 4, -5, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 131424 | 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, -3, -5, -4],\n [4, -1, 5, -3, 0],\n [3, 0, -4, -4, 2],\n [5, 2, 0, 4, 1],\n [-5, 3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 29386 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 1, 5, -2, -3],\n [-2, -2, 4, 4, 2],\n [-2, -1, -4, -2, 1],\n [-3, -5, 2, 2, 0],\n [1, 4, 5, -4, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -2174 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[1, 2, -2, -3, 2],\n [2, 0, 0, 0, -1],\n [-2, 0, -2, -2, 0],\n [-3, 0, -2, -2, -1],\n [2, -1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -14678 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-2, -4, 1, 0, 5],\n [-3, 2, 2, -5, -3],\n [-1, -4, -1, 5, 4],\n [-3, 3, 5, -5, -2],\n [4, 0, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6684 | MATH |
[
{
"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 1, -1, 5, 2],\n [-1, 1, 0, 4, -4],\n [-3, 5, 5, -2, -1],\n [3, 0, -5, -3, 1],\n [2, 1, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -734 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, 2, 2, 0, -4],\n [2, -3, 0, 2, -4],\n [2, 0, 1, 0, -1],\n [0, 2, 0, -2, -2],\n [-4, -4, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -63171 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, 1, 4],\n [0, 2, 2, 2, 2],\n [2, 2, -1, -1, 0],\n [1, 2, -1, 0, 0],\n [4, 2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 91012 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -1, 1, -3, 0],\n [2, 2, -4, 0, 1],\n [1, -3, 3, -4, 5],\n [-3, 5, -4, 5, 3],\n [-2, -4, -3, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 546201 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, 0, -4, 1, -1],\n [0, 1, -2, -4, 0],\n [-4, -2, 5, 0, 0],\n [1, -4, 0, 3, -3],\n [-1, 0, 0, -3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -7354 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, 1, 2, -1],\n [-2, -1, 1, -2, 1],\n [1, 1, 2, 0, -2],\n [2, -2, 0, -4, -4],\n [-1, 1, -2, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 11070 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -3, -1, 5],\n [3, -1, 3, -5, 3],\n [-1, 2, -1, 0, 2],\n [-4, -3, 5, 3, -1],\n [-1, 3, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 239 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 2) of the result:\nA =\n[[1, -4, 2, -1, -5],\n [-3, 3, -1, 2, -5],\n [1, 1, 2, -3, -5],\n [5, 3, -5, 5, 0],\n [3, -4, -2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1612 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, 2, -2, 4],\n [-3, -2, 2, -1, 0],\n [2, 2, 0, 0, -2],\n [-2, -1, 0, 0, 2],\n [4, 0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35969 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-5, -5, 5, -5, -4],\n [3, -1, 3, -1, 1],\n [0, -4, -3, -1, -2],\n [5, 0, 2, 2, -3],\n [-2, -5, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -83 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, -4, 0, 1, 0],\n [2, 3, 2, -1, 2],\n [4, 4, 3, 2, -4],\n [-4, -3, 1, 3, 2],\n [3, 0, -5, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 68911 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[0, 2, -5, 5, -4],\n [-4, 0, 5, 1, -4],\n [-1, 0, -2, -5, -3],\n [4, 3, 0, -4, 3],\n [-2, 5, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 242362 | MATH |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.