messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "For the matrix power A^4 where A =\n[[-6, 2, 1, 1, 3, -1],\n [0, -1, 2, -4, -4, -4],\n [3, -4, 2, 5, -3, 6],\n [0, 2, 4, 5, 0, 2],\n [5, -4, -3, 1, -1, -2],\n [6, -3, 1, -6, 2, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 10689 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[1, -3, 2, 4, -2, -4],\n [2, 4, 2, -3, 4, -3],\n [5, 1, -5, 2, 6, -1],\n [2, 1, 0, 6, -6, 5],\n [-4, 4, -5, -2, -2, -2],\n [-3, -2, -4, 5, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 1423172 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[6, -2, 3, -1, -2, -4],\n [-2, -5, 1, -2, -2, 2],\n [3, 1, 5, -2, 2, 1],\n [-1, -2, -2, 6, -2, 0],\n [-2, -2, 2, -2, 2, 6],\n [-4, 2, 1, 0, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 1522240 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -1, 5, 6, -4, -1],\n [5, -5, 1, -5, 4, 0],\n [2, -6, 1, 0, -1, -1],\n [-1, 2, -5, -6, 6, 5],\n [-1, 3, 4, 1, -4, 5],\n [3, -6, 2, 6, 6, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 16298 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 4) of the result:\nA =\n[[-4, 1, -4, 6, -3, 1],\n [-6, 6, 6, -1, -6, -6],\n [1, 4, -3, 5, -6, 3],\n [0, -2, -2, -6, 3, 4],\n [-1, 2, 2, 1, -2, -6],\n [2, -6, 1, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 1339 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 0, 6, 4],\n [-4, 4, 6, 6, -6, 1],\n [5, -4, 5, 1, 1, 6],\n [-2, 6, 5, 6, -6, 6],\n [3, 0, 5, 3, -2, 1],\n [2, 4, 0, 6, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 169603 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-3, -4, -4, -2, -4, -5],\n [-4, -5, -4, -2, 0, 0],\n [-4, -4, -6, 0, 4, -1],\n [-2, -2, 0, 6, 4, 2],\n [-4, 0, 4, 4, 3, -2],\n [-5, 0, -1, 2, -2, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 2336959 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 2, 0, 5, -1, -3],\n [2, -1, 0, 2, -2, -1],\n [0, 0, -4, 1, -2, -2],\n [5, 2, 1, -2, -4, 0],\n [-1, -2, -2, -4, 5, -3],\n [-3, -1, -2, 0, -3, 6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 3710 | MATH |
[
{
"content": "Find the value at position (4, 6) of the 5th power of the matrix:\n[[0, 2, -2, -1, 3, 5],\n [5, -5, -4, -4, 5, 5],\n [2, 0, 1, 4, 3, 4],\n [2, -1, -3, 5, -6, 1],\n [0, -5, 1, 5, -2, 0],\n [-3, -2, 1, -6, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -6010 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-4, 1, 1, 5, -5, 4],\n [1, 4, 1, 2, -4, 0],\n [1, 1, 1, -6, -1, -1],\n [5, 2, -6, -3, -2, 4],\n [-5, -4, -1, -2, 4, 0],\n [4, 0, -1, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 125756 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, 4, 3, -4, -5, -1],\n [4, 6, -2, 3, -2, 3],\n [6, -2, 3, 5, -2, -4],\n [0, -1, -3, -5, 5, 2],\n [-6, 6, 6, 4, -3, -6],\n [6, -1, -3, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 738090 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-6, 6, -5, 6, -1, -2],\n [4, 0, -4, -4, 3, -5],\n [6, -4, 3, -6, -2, 5],\n [-2, 5, 4, 0, -3, -4],\n [-6, 5, 1, 6, -4, 6],\n [-5, 4, -3, -4, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -12672 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 0, -1, 3],\n [3, 3, 0, -3, 3, -1],\n [-2, 0, -2, -1, 2, 1],\n [0, -3, -1, -2, -3, 1],\n [-1, 3, 2, -3, -2, -4],\n [3, -1, 1, 1, -4, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -558 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (4, 4) of the result:\nA =\n[[-3, -1, 1, 0, -2, -6],\n [-1, -4, 2, 3, 0, 1],\n [1, 2, 3, -2, -4, 0],\n [0, 3, -2, 4, 0, 0],\n [-2, 0, -4, 0, -2, 2],\n [-6, 1, 0, 0, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 4667 | 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, 1, -3, 6, -6],\n [-6, -6, -6, 1, -4, -1],\n [-4, 4, -2, 6, 6, 0],\n [-5, -1, 6, -1, 4, -4],\n [-1, 3, 3, -2, 5, -5],\n [2, 1, -4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxe... | 445304 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-4, -2, 0, 0, -6, 0],\n [-2, 0, -5, 0, -1, 3],\n [0, -5, -2, 4, 0, -2],\n [0, 0, 4, -6, 0, -2],\n [-6, -1, 0, 0, -5, -4],\n [0, 3, -2, -2, -4, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -622996 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[6, 5, -5, 0, 3, 0],\n [5, -1, -1, 2, -5, 0],\n [-5, -1, 5, 2, 3, 0],\n [0, 2, 2, 1, 2, -2],\n [3, -5, 3, 2, 1, -1],\n [0, 0, 0, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 1030122 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, -5, -2, 0, 6, 2],\n [-5, -2, -2, 0, 0, 2],\n [-2, -2, 0, 0, 0, -2],\n [0, 0, 0, -3, -2, -2],\n [6, 0, 0, -2, -1, -4],\n [2, 2, -2, -2, -4, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 136849 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 0, 0, -4, 3],\n [-2, 5, -2, 2, 0, -2],\n [0, -2, -5, -3, 0, -1],\n [0, 2, -3, 1, 4, -2],\n [-4, 0, 0, 4, 5, 3],\n [3, -2, -1, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 54472 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-5, 6, -4, 2, -2, 1],\n [6, -4, -4, -4, 2, 2],\n [-4, -4, -6, 4, 0, -2],\n [2, -4, 4, 4, 0, 1],\n [-2, 2, 0, 0, -2, 4],\n [1, 2, -2, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 120265 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 6) of the result:\nA =\n[[-6, -3, 2, 2, -2, -3],\n [-4, -4, 5, -2, 3, -6],\n [-2, -1, 0, 5, 2, -4],\n [-5, -4, 5, 2, 5, 0],\n [2, 6, -5, -2, 6, -3],\n [-5, 2, 2, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 22933 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, -1, -6, -3, 6, 0],\n [6, 6, -5, 2, 1, 1],\n [0, -3, -5, -4, 5, -1],\n [5, 5, -2, 5, 1, -1],\n [-1, -6, -3, -2, 5, 4],\n [-4, 6, 2, -6, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -63852 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[3, -2, 5, -2, 3, 6],\n [-2, -1, 1, -5, -1, -6],\n [-3, 3, -4, 2, -4, -1],\n [-6, 5, -1, -3, 1, 6],\n [4, 2, -3, 3, 5, 3],\n [-1, -6, -3, 0, 5, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 98388 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 4, 1, 0],\n [2, 3, 2, 1, -4, 1],\n [1, 2, -2, 0, 0, 0],\n [4, 1, 0, 2, 2, -1],\n [1, -4, 0, 2, -3, -2],\n [0, 1, 0, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 13401 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, 1, 0, 1, 1, -2],\n [1, -4, 6, 0, 4, -2],\n [0, 6, 6, 4, -2, 0],\n [1, 0, 4, 1, -2, 2],\n [1, 4, -2, -2, 4, 4],\n [-2, -2, 0, 2, 4, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 679309 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, 2, -2, 4, -1],\n [4, 6, -2, -1, 4, -2],\n [2, -2, -3, 1, 3, 0],\n [-2, -1, 1, -1, -2, -2],\n [4, 4, 3, -2, 3, -2],\n [-1, -2, 0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed... | 122421 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[1, -1, -6, -5, -1, 4],\n [-5, 6, 3, -2, -2, -1],\n [-1, -1, -5, 3, 6, -4],\n [-1, 6, 1, 5, 6, 4],\n [5, -6, -6, 4, 6, -5],\n [4, 5, 5, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -48558 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 5, 1, 4, 3, 2],\n [5, 4, -2, 2, -5, -4],\n [0, 0, -1, -1, -5, 3],\n [-1, -3, 5, -4, 6, 4],\n [6, -5, -6, 4, 4, -2],\n [-5, -5, 0, 1, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8235 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, -6, 4, 0, -6],\n [4, -3, 1, -5, -1, 6],\n [-1, 5, 2, -2, 3, -3],\n [-2, 5, 5, 3, 4, -2],\n [1, 3, 5, 1, -5, 0],\n [1, 4, -1, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -4777 | MATH |
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[6, -4, 0, 0, 1, -1],\n [-4, 2, -2, -2, -3, 5],\n [0, -2, -6, 0, 3, -2],\n [0, -2, 0, -3, 1, 1],\n [1, -3, 3, 1, 3, -4],\n [-1, 5, -2, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -503 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 6) of the result:\nA =\n[[4, -1, 0, -2, 0, -2],\n [-1, 3, 5, -4, 0, -2],\n [0, 5, 4, -2, 4, -2],\n [-2, -4, -2, -1, -4, -2],\n [0, 0, 4, -4, -2, 4],\n [-2, -2, -2, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 20 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-4, -4, 6, 5, 0, 0],\n [0, 3, 1, -2, -2, -3],\n [0, 3, -3, -5, -3, 6],\n [6, 1, 2, -4, 0, 5],\n [2, 4, -3, 3, -4, -2],\n [-6, -4, 1, 4, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 43827 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-3, -4, 2, 0, 0, 2],\n [-4, -4, -2, 2, -4, 0],\n [2, -2, -3, 1, 2, -2],\n [0, 2, 1, 6, 2, 2],\n [0, -4, 2, 2, 3, 4],\n [2, 0, -2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 512866 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -1, -3, 5, 5],\n [-1, -4, -3, 2, -2, 6],\n [0, 3, -5, -2, 2, 4],\n [-4, 2, 4, -1, -3, 0],\n [1, -1, -2, -1, -2, 1],\n [-6, 4, 0, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6732 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, 2, -6, 4, 3, -1],\n [2, -6, -3, -3, 2, 4],\n [-2, -2, -1, -6, -6, 2],\n [-4, -3, -6, 2, 1, -5],\n [1, 0, 4, -1, -6, 0],\n [3, 0, 6, 2, -6, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 78891 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 3) of the result:\nA =\n[[4, 0, 0, -1, 1, -4],\n [0, -3, 1, 0, 0, -6],\n [0, 1, 6, -2, -4, 0],\n [-1, 0, -2, -3, -4, -3],\n [1, 0, -4, -4, 1, 0],\n [-4, -6, 0, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 10 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[4, 0, 0, 2, 0, -5],\n [0, 1, -2, 1, 0, 0],\n [0, -2, 1, 5, -2, -3],\n [2, 1, 5, 3, -2, -1],\n [0, 0, -2, -2, 1, 0],\n [-5, 0, -3, -1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 80623 | MATH |
[
{
"content": "Find the value at position (2, 4) of the 5th power of the matrix:\n[[0, -4, 0, -3, -3, -1],\n [-4, -3, 0, 2, -4, -5],\n [0, 0, 4, -4, 2, 2],\n [-3, 2, -4, -2, 3, 2],\n [-3, -4, 2, 3, -6, 0],\n [-1, -5, 2, 2, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 88448 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[0, -2, -2, 4, -4, 0],\n [-2, 0, -2, -1, -3, 2],\n [-2, -2, 6, 1, -3, -1],\n [4, -1, 1, 3, 4, 3],\n [-4, -3, -3, 4, -2, 1],\n [0, 2, -1, 3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 527636 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-6, 0, 0, 4, -2, 0],\n [0, 3, -2, 1, 0, -4],\n [0, -2, 3, 0, 0, 0],\n [4, 1, 0, 4, 2, -3],\n [-2, 0, 0, 2, -3, 2],\n [0, -4, 0, -3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -9576 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -5, 2, 4, 0, -2],\n [-5, -1, -2, 3, -2, 3],\n [2, -2, 6, 0, -1, 1],\n [4, 3, 0, -2, 2, 2],\n [0, -2, -1, 2, -1, -4],\n [-2, 3, 1, 2, -4, -6]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -179753 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -4, 2, -1, 0, 0],\n [-4, -6, 1, -2, 2, 5],\n [2, 1, -1, -6, 4, -1],\n [-1, -2, -6, -4, -3, 0],\n [0, 2, 4, -3, 6, 2],\n [0, 5, -1, 0, 2, 5]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 174516 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-6, 0, 1, -2, 3, -5],\n [0, 6, -1, 0, -6, -2],\n [1, -1, -6, 3, 1, 0],\n [-2, 0, 3, 6, -5, -4],\n [3, -6, 1, -5, 0, 4],\n [-5, -2, 0, -4, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 240028 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[1, -2, 2, -4, -2, 3],\n [-2, 4, 4, 0, -1, -2],\n [2, 4, -1, 4, 2, 2],\n [-4, 0, 4, -6, 2, 1],\n [-2, -1, 2, 2, -2, 0],\n [3, -2, 2, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 515890 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 0, 0, 0, 0, -1],\n [0, 5, -2, 0, 0, 2],\n [0, -2, 6, -2, -2, 0],\n [0, 0, -2, 1, -2, 2],\n [0, 0, -2, -2, -5, 4],\n [-1, 2, 0, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -156 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 0, 2, 0, -1, 0],\n [0, 6, -4, 0, -4, -2],\n [2, -4, -3, 2, 3, 0],\n [0, 0, 2, 2, 0, 4],\n [-1, -4, 3, 0, 6, -3],\n [0, -2, 0, 4, -3, 3]], determine the value at position (2, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 694 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, -6, 0, 3],\n [1, -1, -1, 6, 1, 3],\n [-4, -1, -1, -1, 0, -3],\n [-6, 6, -1, -4, 1, 0],\n [0, 1, 0, 1, 6, -1],\n [3, 3, -3, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | -130092 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-5, -2, 1, 4, -3, 2],\n [-2, -6, -2, 4, 0, 1],\n [1, -2, 5, 0, -2, -2],\n [4, 4, 0, 4, 2, -3],\n [-3, 0, -2, 2, 1, -2],\n [2, 1, -2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 79299 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-4, -1, -2, 4, 0, 4],\n [-1, -5, 1, 3, -2, -6],\n [-2, 1, 6, -2, 0, 3],\n [4, 3, -2, 3, -6, -1],\n [0, -2, 0, -6, -4, -3],\n [4, -6, 3, -1, -3, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 2861738 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-6, 5, 0, 5, 1, -4],\n [5, -2, 4, 2, 2, -2],\n [0, 4, 2, 0, 2, -2],\n [5, 2, 0, 2, -2, 6],\n [1, 2, 2, -2, 6, -4],\n [-4, -2, -2, 6, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 2569394 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-2, 2, -1, -5, 1, -4],\n [2, -1, 2, 0, 3, 0],\n [-1, 2, -3, 4, -2, 4],\n [-5, 0, 4, 6, 2, 0],\n [1, 3, -2, 2, -4, -2],\n [-4, 0, 4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 599390 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 5, -3, 4, 3, 4],\n [4, 4, -5, -6, 2, 5],\n [5, -5, 6, 1, 2, -3],\n [1, 2, 3, 3, -2, 6],\n [0, 3, -3, -6, -4, -2],\n [-4, 5, 6, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 95050 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 5, -1, 6, 3, -6],\n [0, -4, -2, 3, -3, 3],\n [-2, -2, -1, 3, 5, 3],\n [6, 6, 4, -1, 1, 1],\n [4, 2, 1, 6, 4, -5],\n [5, 3, 5, 4, -6, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 37438 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-5, -5, 0, 0, 3, 0],\n [-5, -6, 2, 4, -2, 0],\n [0, 2, -6, 5, 2, -2],\n [0, 4, 5, -3, -2, 1],\n [3, -2, 2, -2, 0, -1],\n [0, 0, -2, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -199869 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[5, -4, 5, 2, 0, -4],\n [-4, -1, 4, 0, -2, -2],\n [5, 4, -5, 0, -2, 4],\n [2, 0, 0, 6, -2, 0],\n [0, -2, -2, -2, 1, 4],\n [-4, -2, 4, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 181123 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^4 where A is:\n[[5, 0, 0, 0, 2, 2],\n [0, 6, 0, -2, 2, 5],\n [0, 0, -3, 4, 2, 0],\n [0, -2, 4, 5, -4, -4],\n [2, 2, 2, -4, -6, -4],\n [2, 5, 0, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1752 | MATH |
[
{
"content": "Find the value at position (3, 6) of the 4th power of the matrix:\n[[-2, 6, 3, -4, 2, -3],\n [6, 6, -4, 4, -5, 3],\n [6, 4, 2, -3, -4, 0],\n [1, 4, -5, 0, 5, -2],\n [4, -2, -4, -2, 5, -5],\n [-3, -1, -6, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3899 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 1, 4, -6, 2],\n [2, -1, 0, 2, 0, 2],\n [1, 0, -2, 0, 0, 0],\n [4, 2, 0, 3, -4, -5],\n [-6, 0, 0, -4, 1, 6],\n [2, 2, 0, -5, 6, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4300 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[-3, 0, 0, -1, 4, 2],\n [0, 1, 0, -4, 2, -4],\n [0, 0, 3, 2, 4, -2],\n [-1, -4, 2, -5, 1, 2],\n [4, 2, 4, 1, 1, 2],\n [2, -4, -2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 258404 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-6, -3, -3, 0, 4, 0],\n [6, 4, 1, 4, -2, 0],\n [1, 2, -4, -4, -3, -2],\n [3, -6, 0, 2, 1, -2],\n [-3, 5, 0, -2, 0, 5],\n [-6, -6, 3, 6, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 50651 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-5, -5, 0, 5, 3, -5],\n [4, -3, -5, -1, 1, 3],\n [-3, -2, -3, -4, -2, 2],\n [1, 1, 1, 5, 1, 0],\n [1, 4, 1, 6, 1, 5],\n [3, 0, 5, -6, -3, 6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 39326 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[6, -3, -2, 3, -1, -3],\n [-5, -1, 1, 1, 0, -1],\n [-5, 0, 4, 5, -2, -1],\n [3, 1, 1, -4, 5, 5],\n [0, -6, -6, 0, 3, 2],\n [0, 3, -2, 1, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8038 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, -2, -4, -2, 0],\n [4, -6, 2, -2, -2, 3],\n [-2, 2, 1, 2, 4, 2],\n [-4, -2, 2, 2, 2, 1],\n [-2, -2, 4, 2, 2, 0],\n [0, 3, 2, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 11518 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 0, -4, -4],\n [2, -4, 2, 3, 0, 1],\n [2, 2, 5, 0, 3, 4],\n [0, 3, 0, -1, -2, 2],\n [-4, 0, 3, -2, 6, 0],\n [-4, 1, 4, 2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 694 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -2, -2, -1, -2],\n [3, 5, -2, 2, 0, -2],\n [-2, -2, 2, -2, 0, -4],\n [-2, 2, -2, 6, 2, -2],\n [-1, 0, 0, 2, 6, 0],\n [-2, -2, -4, -2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxe... | 509667 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[1, 3, 1, -5, 4, 6],\n [0, 1, 1, 4, 3, 4],\n [6, 0, -2, -6, 5, 2],\n [6, 0, -5, -1, -5, -6],\n [0, 6, -5, 6, -5, 6],\n [4, -2, -2, 0, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -315 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 2, -3, 3, 5],\n [-2, 0, -3, -6, 2, -3],\n [2, -1, -6, 5, -4, 4],\n [-5, 2, 5, -6, 6, 2],\n [2, 1, 1, 4, 5, -6],\n [4, 1, 3, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 8435 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -6, -6, 3, 6, -2],\n [-2, 1, 0, 1, -1, -1],\n [-5, -1, -2, 6, -4, -1],\n [1, 2, -6, -4, -4, 4],\n [1, -6, -2, -4, -5, 1],\n [-4, 0, 5, 4, -6, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 86215 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, 0, 1, 1, 0, 0],\n [0, -2, -5, 0, -4, 2],\n [1, -5, 4, -4, 3, 6],\n [1, 0, -4, 2, 1, -3],\n [0, -4, 3, 1, -4, 2],\n [0, 2, 6, -3, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 66495 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 5th power of the matrix:\n[[1, -4, 5, -2, 2, -2],\n [-4, -1, 3, 4, 0, 0],\n [5, 3, 0, 4, 2, -4],\n [-2, 4, 4, -1, 3, 2],\n [2, 0, 2, 3, -4, 0],\n [-2, 0, -4, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -11834 | 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, -4, 0, 0],\n [0, 0, -2, -4, 1, 0],\n [0, -2, 0, -2, -1, 4],\n [-4, -4, -2, -2, 0, 0],\n [0, 1, -1, 0, 6, -2],\n [0, 0, 4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Yo... | 33753 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 1, 2, 3, -2],\n [-1, -6, 4, 5, 0, -3],\n [4, -5, -2, 5, -4, -1],\n [1, 0, -4, 1, -5, 3],\n [2, -3, -6, 1, 0, 4],\n [6, -2, 3, 6, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 53144 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 4, 6, -1, 6],\n [-2, 2, 4, -5, -6, 1],\n [5, -4, 4, 5, 5, 5],\n [0, 3, 6, 4, 1, 6],\n [6, -1, 5, 3, 2, 0],\n [3, -2, 1, -5, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 153384 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[2, 2, -2, 3, 2, -2],\n [2, -6, -4, 2, -2, 0],\n [-2, -4, -6, -4, -1, 1],\n [3, 2, -4, -6, -4, 1],\n [2, -2, -1, -4, 6, 2],\n [-2, 0, 1, 1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -578444 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -4, 0, 0, -5, 0],\n [-4, -2, -3, 1, -2, 2],\n [0, -3, 3, 1, 4, 1],\n [0, 1, 1, -5, -2, -4],\n [-5, -2, 4, -2, 5, -3],\n [0, 2, 1, -4, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 1110220 | MATH |
[
{
"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, -1, 0, -2, 4, 0],\n [-1, 1, 0, 4, -4, -2],\n [0, 0, -6, -3, 2, 2],\n [-2, 4, -3, -3, 2, 2],\n [4, -4, 2, 2, 5, 4],\n [0, -2, 2, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 2234 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 4, -4, 2, 2],\n [0, 5, -4, -1, 4, 6],\n [4, -4, 3, 2, -2, 0],\n [-4, -1, 2, 0, 2, -4],\n [2, 4, -2, 2, -1, 4],\n [2, 6, 0, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 45067 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, 3, -5, 1, 3, 2],\n [-2, 3, -3, -1, 1, 4],\n [-4, 3, 4, 4, -6, -3],\n [-3, -6, 2, -4, -2, -1],\n [1, -1, -4, -1, -6, -3],\n [-1, 0, 4, 6, 4, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -3297 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -2, 4, 4, 2, -2],\n [-2, -6, 0, 4, 2, -2],\n [4, 0, 6, -4, 0, -2],\n [4, 4, -4, 6, 2, -2],\n [2, 2, 0, 2, 0, 2],\n [-2, -2, -2, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -25888 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -3, -1, 6],\n [2, 0, -6, -5, 4, 4],\n [0, -6, -1, 0, 4, -4],\n [-3, -5, 0, -2, 4, 2],\n [-1, 4, 4, 4, 3, 2],\n [6, 4, -4, 2, 2, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 139723 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -1, 2, 4, 3],\n [2, 1, 6, 2, 6, 0],\n [-1, 6, -6, 2, -2, 2],\n [2, 2, 2, -3, 2, 2],\n [4, 6, -2, 2, 3, -1],\n [3, 0, 2, 2, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 1628568 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -3, -3, -4, 6, 3],\n [-2, -2, 4, 0, -3, 6],\n [-3, 2, -1, -3, -5, -1],\n [-5, -2, -1, -3, 6, -4],\n [0, -5, 6, 4, -1, 6],\n [-3, -1, -3, -3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your a... | 1548835 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 4) of the result:\nA =\n[[0, -1, -3, 1, 1, 0],\n [-1, -3, 0, -3, -2, -4],\n [-3, 0, 0, 5, 0, 0],\n [1, -3, 5, 5, -2, 2],\n [1, -2, 0, -2, -3, 1],\n [0, -4, 0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -564 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -5, 4, -3, -2, -1],\n [-5, 5, 1, -3, 2, -1],\n [4, 1, -6, 4, 2, -4],\n [-3, -3, 4, -5, 0, -2],\n [-2, 2, 2, 0, 5, 0],\n [-1, -1, -4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\box... | 1980926 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[5, 0, 3, 0, 2, -6],\n [0, 4, 5, 0, 6, 1],\n [3, 5, -6, -1, -1, -2],\n [0, 0, -1, -3, 2, 4],\n [2, 6, -1, 2, 3, 0],\n [-6, 1, -2, 4, 0, 3]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 163 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -1, 6, -1, 2, -3],\n [-5, 4, 4, 2, -5, 3],\n [2, -5, 5, 1, 2, 5],\n [3, 2, 3, 2, -5, -3],\n [0, 5, -5, -6, -4, 5],\n [-3, 1, -1, 4, -5, 2]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 874 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-5, 6, 0, 0, 6, -3],\n [6, 0, 1, -2, 0, -2],\n [0, 1, -5, 0, 3, -3],\n [0, -2, 0, 6, 0, -1],\n [6, 0, 3, 0, -6, 1],\n [-3, -2, -3, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7322 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, 4, 4, -2, -3, -2],\n [1, -4, 0, -1, 5, -6],\n [6, 0, 6, 0, 5, -6],\n [2, -1, 5, -5, -2, 6],\n [4, -3, 0, 1, 4, 4],\n [-6, -2, -4, -6, 5, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 2209740 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[-1, 0, 1, 6, 4, -3],\n [-4, -2, 2, 6, -1, 2],\n [-1, -5, 6, -2, 5, 4],\n [2, 1, 0, -6, -3, 5],\n [0, 4, 0, -1, 1, 4],\n [6, -1, 3, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 62 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-6, 4, -4, 0, -3, 0],\n [4, -3, -2, 3, 2, 1],\n [-4, -2, 5, -4, -3, 4],\n [0, 3, -4, 6, -2, 4],\n [-3, 2, -3, -2, -4, 2],\n [0, 1, 4, 4, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 5268 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[2, -1, 5, -3, -2, 6],\n [-1, 4, -4, 1, -3, 1],\n [3, 3, -4, 3, 0, 4],\n [6, 5, 2, -3, 1, -4],\n [0, -4, 5, 0, 4, 3],\n [3, 4, 4, -1, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -258612 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, 2, -3, 2, 0, 2],\n [2, -6, -2, -1, 2, 3],\n [-3, -2, 1, 1, 0, 3],\n [2, -1, 1, 5, 0, 0],\n [0, 2, 0, 0, -2, 2],\n [2, 3, 3, 0, 2, -1]], determine the value at position (6, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 9110 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-1, -2, 0, 2, -4, 0],\n [-2, 0, 2, 3, 0, -2],\n [0, 2, 6, 2, -4, 6],\n [2, 3, 2, 2, -2, 6],\n [-4, 0, -4, -2, 5, -2],\n [0, -2, 6, 6, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 1513024 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, -1, 3, 4, -2, -1],\n [-3, 3, -1, 0, 2, 3],\n [0, -1, -6, -5, -6, 2],\n [3, 3, 2, 0, 6, -5],\n [-1, 4, -3, -6, -6, 5],\n [-2, 5, -5, -3, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -27464 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, -1, 3, -3, -6, 0],\n [-5, 2, 6, -4, 1, 6],\n [1, -4, -3, -5, -3, 4],\n [4, 4, 2, -5, 5, 5],\n [6, -4, 4, 4, -3, -2],\n [-6, 0, 3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 757325 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 2, 2, 0],\n [0, 3, 0, 2, 0, -4],\n [-1, 0, 0, 2, 2, 2],\n [2, 2, 2, 1, 0, -2],\n [2, 0, 2, 0, 3, -1],\n [0, -4, 2, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "u... | 13296 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, -2, 4, -3, 5],\n [-4, 4, 2, -5, 1, -2],\n [-2, 2, -1, 0, 0, -2],\n [4, -5, 0, -1, 0, -2],\n [-3, 1, 0, 0, 4, -4],\n [5, -2, -2, -2, -4, 6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 274150 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, 0, -2, 4, -2, 2],\n [0, 0, 4, 0, 2, 4],\n [-2, 4, 5, 1, -1, -3],\n [4, 0, 1, -1, 1, 3],\n [-2, 2, -1, 1, 3, 4],\n [2, 4, -3, 3, 4, -4]], determine the value at position (5, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 2703 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 4, 3, 1, 1, 0],\n [4, -1, 4, 2, -4, -2],\n [3, 4, 0, 0, 0, -2],\n [1, 2, 0, 6, 3, 0],\n [1, -4, 0, 3, 6, -4],\n [0, -2, -2, 0, -4, 2]], determine the value at position (2, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -306 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-1, 1, -6, -2, 5, -6],\n [3, 4, 1, 1, -6, 2],\n [-5, 5, 2, -6, 5, 3],\n [2, -3, 2, 0, 4, -1],\n [-2, 4, 2, -5, 6, 4],\n [5, -5, 4, 5, 2, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 174396 | MATH |
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