messages listlengths 1 1 | ground_truth stringlengths 2 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^5 and find the value at position (6, 3) of the result:\nA =\n[[-5, -1, 0, 5, -4, 0],\n [-1, 3, -2, 2, -2, -2],\n [0, -2, 6, 2, 0, 2],\n [5, 2, 2, -1, -2, 1],\n [-4, -2, 0, -2, 3, -2],\n [0, -2, 2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 5940 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[5, 0, 1, 1, 2, -2],\n [0, -6, 0, 1, 0, 6],\n [1, 0, -3, 4, -4, 2],\n [1, 1, 4, -3, 0, 0],\n [2, 0, -4, 0, -1, 4],\n [-2, 6, 2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your ans... | 1587376 | 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, 3, -1, 0],\n [-5, -1, 0, 1, 2, 5],\n [4, 0, -3, 0, -6, -4],\n [3, 1, 0, 4, -1, 2],\n [-1, 2, -6, -1, 4, -4],\n [0, 5, -4, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 219512 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (5, 1) of the result:\nA =\n[[-4, 0, 6, 1, 2, 0],\n [1, 4, -1, -5, -6, -4],\n [2, 6, 0, -5, -6, -5],\n [-4, -1, 5, 2, 1, 3],\n [2, 4, 4, 1, 0, -1],\n [1, -1, -5, 6, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 346 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-4, 2, -5, 5, -4, -1],\n [-3, 1, -6, 6, -1, -5],\n [-1, -6, -5, 2, -1, 1],\n [0, 2, 2, 4, -3, 0],\n [-2, 0, -3, 5, 3, 4],\n [4, -6, -3, 6, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -416 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (6, 2) of the result:\nA =\n[[2, -4, -1, 2, -3, 1],\n [-4, 1, 2, -5, 3, 2],\n [-1, 2, -6, 2, 4, 4],\n [2, -5, 2, -4, 0, 0],\n [-3, 3, 4, 0, 1, -2],\n [1, 2, 4, 0, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -704 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, 2, -4, -2],\n [-4, 6, 6, 2, 0, 0],\n [-2, 6, 3, -3, 0, -4],\n [2, 2, -3, 0, -5, 2],\n [-4, 0, 0, -5, 6, -2],\n [-2, 0, -4, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 167853 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, -3, -5, 3],\n [2, -3, 2, -5, 0, 4],\n [4, -2, 1, 4, 1, -3],\n [6, -3, 1, -4, 0, 1],\n [1, 4, 3, -3, 2, 3],\n [-3, 1, -1, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -27 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[6, 4, -6, 0, 1, 5],\n [2, 6, -4, 2, 3, -2],\n [3, -1, -6, 2, 2, -1],\n [1, -3, -2, -2, 0, 0],\n [0, -2, -3, 1, -6, -6],\n [-1, -5, 5, -4, -3, -5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 42706 | MATH |
[
{
"content": "What is the value at position (4, 4) of the matrix A^5 where A is:\n[[3, 3, 4, -4, -2, 0],\n [3, 2, 4, -3, -3, 0],\n [4, 4, 5, 4, 6, 0],\n [-4, -3, 4, -5, 4, 4],\n [-2, -3, 6, 4, -6, -4],\n [0, 0, 0, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -97361 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 5) of the result:\nA =\n[[4, 6, 3, 0, -1, 6],\n [-6, 3, -5, 4, 0, -4],\n [-5, -1, 1, 1, 4, -5],\n [-1, 5, -2, 0, -3, 5],\n [6, -5, 3, -4, 2, 3],\n [1, 6, 2, -2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -601 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 0, -6, 5, -2, 1],\n [0, 4, -5, 1, -5, 3],\n [-6, 4, 4, 4, -4, -4],\n [-1, 5, -4, 0, 1, -4],\n [2, -6, -4, 5, -4, 0],\n [4, 4, -2, -3, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | -2205 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-4, -2, 0, 2, 0, 3],\n [-2, 0, 2, 1, 1, 4],\n [0, 2, 1, -1, -5, 0],\n [2, 1, -1, 1, -2, 2],\n [0, 1, -5, -2, -1, -5],\n [3, 4, 0, 2, -5, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 17099 | MATH |
[
{
"content": "Find the value at position (1, 4) of the 5th power of the matrix:\n[[3, -2, 2, -1, 0, 1],\n [-2, 1, 4, -2, 2, 4],\n [2, 4, 3, 2, -1, 0],\n [-1, -2, 2, 0, 1, -2],\n [0, 2, -1, 1, 2, 0],\n [1, 4, 0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -1265 | MATH |
[
{
"content": "What is the value at position (4, 5) of the matrix A^4 where A is:\n[[-3, 1, 2, -2, 6, -1],\n [-4, 5, -2, -2, -5, 3],\n [-1, 2, 4, 0, 1, -5],\n [4, 6, 2, -4, 3, -2],\n [0, -3, 0, 1, 6, 3],\n [3, -3, -2, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -864 | MATH |
[
{
"content": "What is the value at position (6, 6) of the matrix A^5 where A is:\n[[1, -4, 6, -2, 3, -6],\n [-5, -4, -6, 6, 4, 5],\n [4, 2, 2, -2, -3, -2],\n [-3, 5, -2, 0, 4, 1],\n [-5, -3, 1, 0, 2, -2],\n [-1, 4, 1, 5, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 36710 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 1, 5, -4, -2],\n [1, 3, 5, 0, -6, 5],\n [-3, -5, -5, 6, 0, 5],\n [5, -4, -4, -1, -1, -6],\n [-6, 4, -1, 0, 2, -3],\n [3, -1, 5, -4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -14816 | MATH |
[
{
"content": "What is the value at position (5, 1) of the matrix A^5 where A is:\n[[4, -3, 2, -6, -2, 4],\n [0, -4, -5, 6, 4, -5],\n [-6, -2, 6, -4, 4, 5],\n [0, -6, 2, -5, 1, 3],\n [-3, -1, 2, 0, 1, 0],\n [-5, 2, -6, -5, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -9011 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[3, -3, -2, -1, -6, 6],\n [1, -1, 3, 2, -2, 0],\n [4, -3, -1, -1, 6, -3],\n [-1, 1, 4, -2, -5, 2],\n [4, -3, -3, 4, 0, 3],\n [3, -1, -3, -1, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 46851 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, -6, 5, 3, -2],\n [3, -5, 0, 6, 0, -3],\n [-1, -6, -5, -1, -5, 5],\n [5, 4, -3, -3, 3, 2],\n [3, 0, 0, 5, 4, -6],\n [4, -2, -4, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 25276 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, 2, 1, 2, -2],\n [-4, -2, 0, 6, 0, 2],\n [2, 0, 1, 2, 3, 0],\n [1, 6, 2, 3, 1, 2],\n [2, 0, 3, 1, -3, -1],\n [-2, 2, 0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 18923 | MATH |
[
{
"content": "What is the value at position (5, 1) of the matrix A^5 where A is:\n[[0, 0, -2, -5, 5, -5],\n [6, 5, 3, 5, 1, 4],\n [-1, 1, -4, -6, 6, -1],\n [-5, 5, 2, -2, -2, 6],\n [3, 1, -1, -4, 2, 3],\n [-3, 3, -3, 5, 6, -5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 15616 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-4, -3, 0, 6, -4, 1],\n [1, 3, 4, -5, -3, 1],\n [-6, -6, -3, 4, -5, -6],\n [1, -5, -3, -4, -5, 1],\n [-4, 2, 3, -2, 2, -4],\n [5, -2, 3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -157102 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-5, -4, 2, -4, -4, 0],\n [-4, 1, -1, 2, -1, 2],\n [2, -1, -3, -2, -2, -2],\n [-4, 2, -2, -3, -2, 3],\n [-4, -1, -2, -2, 3, 0],\n [0, 2, -2, 3, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 582224 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[5, -3, -1, 5, 5, 5],\n [5, 5, 5, -2, -1, 5],\n [-5, 0, 1, 6, 4, 2],\n [-1, 0, 6, 5, 6, -6],\n [2, -1, 5, -3, 3, 2],\n [5, -6, -5, -4, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{You... | 93234 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, 0, 3, 6, -1, 5],\n [2, -2, 2, 6, 5, 3],\n [2, -5, 5, 2, -4, 4],\n [-4, 5, 4, 2, 0, 4],\n [1, 0, 2, 1, -3, -5],\n [6, 4, -2, -5, -3, 5]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 489516 | MATH |
[
{
"content": "What is the value at position (5, 2) of the matrix A^5 where A is:\n[[-5, 0, -2, 4, -1, 5],\n [0, -5, -2, 4, 1, -4],\n [-2, -2, -6, -1, -2, -2],\n [4, 4, -1, 4, 0, 4],\n [-1, 1, -2, 0, 0, -4],\n [5, -4, -2, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -20696 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-3, 3, 0, 1, -2, 2],\n [3, 0, 0, 0, -2, 4],\n [0, 0, 5, 3, 6, 3],\n [1, 0, 3, 4, -4, -3],\n [-2, -2, 6, -4, 5, 0],\n [2, 4, 3, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 304880 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, 2, 1, 6],\n [-1, -5, 2, -2, 0, 0],\n [0, 2, 2, -2, 0, -1],\n [2, -2, -2, 0, 2, -2],\n [1, 0, 0, 2, 2, -2],\n [6, 0, -1, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 3383 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[-3, 2, -5, -6, 2, 3],\n [2, -5, 2, -2, -2, -1],\n [-5, 2, -1, -4, 0, -3],\n [-6, -2, -4, -4, 0, 0],\n [2, -2, 0, 0, -3, 1],\n [3, -1, -3, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | -755243 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, 6, 0, 0, 4, 6],\n [6, -6, 3, 0, 1, 1],\n [0, 3, 2, 4, 2, -2],\n [0, 0, 4, -4, 0, 0],\n [4, 1, 2, 0, 2, 4],\n [6, 1, -2, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 1817784 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (1, 2) of the result:\nA =\n[[3, 4, 1, 0, -2, 3],\n [4, -4, 2, 1, 1, 1],\n [1, 2, 6, 0, -4, -3],\n [0, 1, 0, -2, 3, -2],\n [-2, 1, -4, 3, 2, 2],\n [3, 1, -3, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 8990 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, -3, -3, 0, -4],\n [-2, -2, -3, 3, 2, 4],\n [-3, -3, 3, -1, 1, 0],\n [-3, 3, -1, -6, 2, 4],\n [0, 2, 1, 2, -5, 0],\n [-4, 4, 0, 4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",... | 127 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -3, 6, -1, -6],\n [-5, -3, -3, 1, 2, 5],\n [-3, -1, -3, -3, 5, 4],\n [5, 2, -3, 6, -1, 6],\n [2, -4, 0, 0, -6, 4],\n [-5, -2, 1, -1, 6, 6]], determine the value at position (6, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | -7328 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[0, -4, -1, 2, -4, 6],\n [6, 6, -1, 0, -2, 3],\n [6, 1, 1, -1, 0, -4],\n [6, 0, 0, -3, 3, 6],\n [-3, -4, 3, 0, -2, -4],\n [-1, 5, -1, -1, -5, 6]], determine the value at position (3, 5).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | -106 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[4, 3, 5, 0, 6, 0],\n [3, 5, -3, 4, -1, -3],\n [-3, -1, 2, 5, 6, 0],\n [-5, -1, -2, -1, 6, 1],\n [1, -4, 2, -1, 0, 2],\n [6, 0, 3, 2, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 313683 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -3, 2, 4, -6, 0],\n [-3, 1, -4, 0, -1, -2],\n [2, -4, 2, 0, -2, -2],\n [4, 0, 0, 3, 1, -2],\n [-6, -1, -2, 1, -6, 5],\n [0, -2, -2, -2, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed... | 154349 | MATH |
[
{
"content": "Find the value at position (1, 6) of the 5th power of the matrix:\n[[5, -4, 0, 0, 3, -3],\n [-4, 5, 0, 6, 0, 0],\n [0, 0, 3, 3, -5, -2],\n [0, 6, 3, 2, -2, 3],\n [3, 0, -5, -2, -1, 1],\n [-3, 0, -2, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -39771 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -1, -5, -4, 2, -1],\n [1, 4, -2, -5, 0, -1],\n [4, -5, -1, 6, 1, 6],\n [-6, -3, -6, -5, -6, -1],\n [4, -1, -6, -3, -3, 1],\n [-1, -5, -2, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 84632 | MATH |
[
{
"content": "What is the value at position (6, 4) of the matrix A^4 where A is:\n[[5, 1, -2, -4, 3, 5],\n [-3, -6, -1, 4, 6, 3],\n [-3, -1, -5, -2, 4, 2],\n [1, -4, -6, 3, -4, 1],\n [4, -4, -2, -5, -6, 4],\n [3, -2, -2, -1, -5, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -2044 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-5, -5, 5, -2, 2, -3],\n [-1, -5, 6, -3, 5, 2],\n [-5, -6, -3, -3, -6, -3],\n [-4, 6, -5, 6, 3, -3],\n [1, 0, 2, 1, -6, 5],\n [-5, 5, -5, 5, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 113479 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-3, 2, -5, -3, 6, 6],\n [-6, -4, -1, 2, 4, -6],\n [-2, 5, -5, 0, -3, -2],\n [1, -5, -4, 4, -2, 3],\n [-3, -2, -4, 6, 5, 2],\n [1, -1, -6, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 439214 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 2, 1, -4, -1],\n [5, 5, -3, 0, -6, -6],\n [5, 5, -1, 3, 4, 6],\n [6, 0, 6, 2, 0, 2],\n [3, 2, 1, 0, 5, -4],\n [4, -4, 4, -2, 0, 6]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | -316 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[5, 4, -2, -4, 0, -6],\n [4, 4, 1, -5, 0, -2],\n [-2, 1, 6, -3, 0, 0],\n [-4, -5, -3, 0, 0, 0],\n [0, 0, 0, 0, 2, -2],\n [-6, -2, 0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 13625 | MATH |
[
{
"content": "Find the value at position (3, 5) of the 5th power of the matrix:\n[[5, -6, -4, 0, 0, -2],\n [-4, 6, 0, -2, -1, -4],\n [-1, 0, 1, -5, -5, -1],\n [1, -2, -6, 4, -6, 3],\n [2, -3, 5, 3, -6, 4],\n [1, -5, 5, -5, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 54620 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -4, 0, 0, 2],\n [2, -2, 0, -2, 0, -2],\n [-4, 0, 3, 2, 3, -2],\n [0, -2, 2, 1, 0, 4],\n [0, 0, 3, 0, -1, 4],\n [2, -2, -2, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 204306 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 2, -2, -2, 6, 2],\n [2, 2, 2, 0, -2, -2],\n [-2, 2, -5, -2, -3, 0],\n [-2, 0, -2, -5, 4, -2],\n [6, -2, -3, 4, -6, 4],\n [2, -2, 0, -2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | -59798 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[1, 0, -1, 2, -3, 0],\n [0, -4, 2, 0, -2, 3],\n [-1, 2, -2, 0, 5, -3],\n [2, 0, 0, -6, 2, 2],\n [-3, -2, 5, 2, 5, 0],\n [0, 3, -3, 2, 0, -6]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 753088 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 0, 5, 2, 6],\n [4, -1, -2, 0, 4, 2],\n [-2, -2, 3, -3, -2, 0],\n [-4, -3, 2, 5, -5, 1],\n [2, -2, 0, -1, -6, 1],\n [2, 3, 4, -6, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 16112 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 4th power of the matrix:\n[[5, -1, 3, 1, -2, 1],\n [0, 0, 0, 2, -1, -1],\n [4, 2, -1, 0, 0, -5],\n [6, 5, 1, 5, 4, -1],\n [-3, 4, 6, 0, 1, -6],\n [3, 6, 6, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1533 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 6, -1, -3, 6, -6],\n [1, 4, 2, -2, -2, 3],\n [1, 1, -2, -3, -1, 3],\n [-2, 1, 2, 6, -6, 2],\n [6, 2, -1, 4, 3, -2],\n [0, 4, 1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9608 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 6, 1, -6, 0],\n [5, -2, 6, 6, -5, -5],\n [1, -2, 5, 4, -4, -6],\n [4, 0, 4, 5, -4, 0],\n [5, -5, -3, -5, -3, -2],\n [1, -5, 3, -4, 3, 5]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"ro... | 245553 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[6, -2, 4, 5, 5, 2],\n [3, 4, -2, 2, -3, 3],\n [-2, 2, -3, -2, -2, -3],\n [-3, 4, -2, 5, -1, 0],\n [-1, -6, -5, 0, -4, 5],\n [3, 4, 6, -5, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 15200 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[-3, 5, 4, -2, -1, -4],\n [-6, -4, -4, -1, -3, 0],\n [6, 4, -5, 5, -3, 1],\n [4, -1, 3, -4, 3, 5],\n [-5, -4, -6, -6, -5, -4],\n [6, 2, 1, 5, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -89882 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 4th power of the matrix:\n[[2, 0, 0, -2, 0, -3],\n [-2, 5, -6, 4, -3, -4],\n [-5, -5, 1, -6, 1, 2],\n [-1, -6, 3, 5, 0, -2],\n [2, 0, -2, 6, -5, -3],\n [-5, 2, -5, -5, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -2698 | MATH |
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, -5, -5, -2, 5],\n [6, 5, -3, -5, 1, 1],\n [6, -3, -3, 2, -3, 3],\n [4, 2, -4, -5, 4, 1],\n [5, -4, 6, -5, 6, 4],\n [1, 1, -2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3366 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 5) of the result:\nA =\n[[-2, 4, 1, 3, -2, -2],\n [4, 0, 4, 1, 2, -1],\n [1, 4, -6, -2, 0, -2],\n [3, 1, -2, 2, 0, 3],\n [-2, 2, 0, 0, 4, -1],\n [-2, -1, -2, 3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -349 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, -3, 1, -1, -2],\n [-2, 1, 4, 2, 0, 0],\n [-3, 4, 1, -2, 1, 6],\n [1, 2, -2, 3, 4, 0],\n [-1, 0, 1, 4, 3, -5],\n [-2, 0, 6, 0, -5, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 11619 | MATH |
[
{
"content": "Find the sum of all entries of the 5th power of the matrix:\n[[0, -2, 2, 2, 2, -2],\n [-2, 0, 0, -4, 2, 1],\n [2, 0, -1, -4, -2, 0],\n [2, -4, -4, -1, 4, 0],\n [2, 2, -2, 4, 0, 4],\n [-2, 1, 0, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -20399 | MATH |
[
{
"content": "What is the value at position (2, 5) of the matrix A^4 where A is:\n[[-3, 6, 4, 2, 0, 0],\n [6, 3, 0, 2, 4, -1],\n [4, 0, 6, 4, -3, 2],\n [2, 2, 4, -5, 0, 1],\n [0, 4, -3, 0, 5, -2],\n [0, -1, 2, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3784 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 6, -5, -4, 3],\n [-2, 6, -4, -2, -2, 1],\n [3, 2, 1, 5, -4, -6],\n [-4, -6, 6, 4, 2, 5],\n [6, -4, 1, -1, -4, 2],\n [1, -4, 0, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Y... | 799771 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-6, -3, 4, 6, 4, 5],\n [6, -3, 6, 3, -2, -3],\n [-6, 0, 3, 4, -5, 3],\n [-4, -2, 1, 3, 1, -5],\n [2, -1, 2, -3, -4, -2],\n [-2, -3, 6, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"rol... | 525866 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, 0, 6, 6, 0, 1],\n [5, -3, 3, 6, 6, -1],\n [-2, -6, 6, 2, -5, -1],\n [1, -4, -2, 0, -3, 5],\n [-2, -6, -3, 0, 5, 3],\n [0, 3, 3, -3, 5, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 14687 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[6, -2, -6, 1, 5, 0],\n [-2, 6, 3, 3, 0, 3],\n [-4, 1, -2, -5, -5, -3],\n [0, 3, -3, 2, -5, -1],\n [-3, -1, 3, 2, 3, 5],\n [2, 2, 2, -4, 5, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 8630 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[2, -4, 3, -4, -2, -1],\n [2, -6, 1, -3, 3, 0],\n [-1, -1, 0, -3, -1, -4],\n [-2, 6, 6, 6, -5, -4],\n [6, 2, -1, -4, -5, -2],\n [3, -2, -6, -4, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 3543 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, -4, 3, 6, 2],\n [0, 5, 0, 6, 1, 3],\n [-6, 4, -3, 6, 6, -2],\n [-2, -6, -4, -5, 5, 0],\n [6, -2, -4, 4, 1, -6],\n [-6, -1, -6, -3, -1, -6]], determine the value at position (6, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | -4213 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 4th power of the matrix:\n[[6, 0, -4, 4, 3, 5],\n [0, 6, 2, 6, -4, 2],\n [-4, 2, 3, 4, -3, -3],\n [4, 6, 4, 0, -4, 6],\n [3, -4, -3, -4, 4, 2],\n [5, 2, -3, 6, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -9262 | 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, 2, -6, -3, 2],\n [5, -5, -2, 2, 0, 1],\n [2, -2, -4, 0, 3, -2],\n [-6, 2, 0, 4, -4, -6],\n [-3, 0, 3, -4, -6, -3],\n [2, 1, -2, -6, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{... | 3496349 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 3, 1, -2, 0, 4],\n [3, 5, 4, -4, -1, 2],\n [1, 4, 1, -3, -2, 2],\n [-2, -4, -3, 4, 1, -2],\n [0, -1, -2, 1, -6, -1],\n [4, 2, 2, -2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 172375 | MATH |
[
{
"content": "For the matrix power A^4 where A =\n[[-2, -3, 3, -2, 1, 2],\n [4, 5, -5, -1, -4, -5],\n [5, 6, -6, -3, 1, -4],\n [-2, 3, -2, -2, 4, 2],\n [1, 1, 6, 6, -6, -6],\n [-5, 1, 3, -6, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 105438 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-5, 0, 1, 2, 2, 2],\n [0, -4, -2, 2, 0, 4],\n [1, -2, 2, 0, 2, 2],\n [2, 2, 0, -2, 0, -2],\n [2, 0, 2, 0, -5, 4],\n [2, 4, 2, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": ... | 4043 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -6, 0, 3, -2, 5],\n [5, 3, -2, 4, 1, 5],\n [-2, -2, -6, -5, -2, 0],\n [-4, 5, -6, 4, 5, -5],\n [-4, 5, 2, 1, -3, 1],\n [6, 2, -4, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 87635 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, -6, -1, 2],\n [0, -1, -4, -1, 2, -4],\n [-2, -4, 0, 2, 4, 2],\n [-6, -1, 2, 6, 2, 0],\n [-1, 2, 4, 2, 1, 3],\n [2, -4, 2, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{You... | 1128382 | MATH |
[
{
"content": "What is the value at position (5, 3) of the matrix A^5 where A is:\n[[-1, -5, -4, -6, -4, 0],\n [-2, -3, 6, 5, 1, 1],\n [-6, 2, 2, -5, -5, 1],\n [5, 4, -1, -4, 5, -5],\n [-2, 1, -1, 5, -4, 5],\n [5, 2, 1, 3, -1, -6]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | -6293 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-5, -2, 0, -4, 3, 1],\n [-2, -3, 2, -1, 1, 2],\n [0, 2, 3, 0, -1, 3],\n [-4, -1, 0, 5, -2, -4],\n [3, 1, -1, -2, 6, 0],\n [1, 2, 3, -4, 0, -6]], determine the value at position (3, 6).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "... | 8985 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 5th power of the matrix:\n[[6, 5, -4, 0, -3, -5],\n [5, -4, 0, 1, 4, 2],\n [-1, 3, 2, -3, 5, -2],\n [-6, 2, 2, 2, -4, 6],\n [3, 3, 3, 1, -4, 6],\n [-1, -2, 1, -4, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 15309 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[2, 2, 4, -4, -5, -1],\n [2, -1, 1, -4, -1, -4],\n [4, 1, -2, 4, 2, -4],\n [-4, -4, 4, 4, -6, -4],\n [-5, -1, 2, -6, -3, 0],\n [-1, -4, -4, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 2039299 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (2, 6) of the result:\nA =\n[[4, 4, 3, 2, 4, 0],\n [4, 3, -2, -4, -4, 5],\n [3, -2, -6, -5, 2, -2],\n [2, -4, -5, -6, -1, 0],\n [4, -4, 2, -1, 6, 2],\n [0, 5, -2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 44316 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 5th power of the matrix:\n[[1, -6, 0, 2, -3, 6],\n [6, 2, -6, 2, -1, -3],\n [5, 5, -2, 0, 3, 6],\n [-3, 1, -4, -5, -6, 6],\n [-1, -5, 1, 4, 3, 6],\n [-3, 2, -3, -3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 43588 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the value at position (5, 6) of the result:\nA =\n[[1, 5, 4, 2, 2, 1],\n [5, -5, 1, 0, 0, 4],\n [4, 1, -4, 0, -2, 2],\n [2, 0, 0, 0, 2, 0],\n [2, 0, -2, 2, 0, 2],\n [1, 4, 2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 15196 | MATH |
[
{
"content": "Find the value at position (1, 1) of the 5th power of the matrix:\n[[2, 5, -1, -1, -4, 6],\n [-4, -3, -6, -1, -6, 4],\n [-3, 6, 0, 5, -1, 1],\n [-3, 2, 3, 1, -2, -1],\n [-2, -1, -6, -3, 2, -3],\n [-5, -1, -5, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | -16550 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[-6, 2, -2, 3, -2, 2],\n [2, -1, -6, -2, 4, -4],\n [-2, -6, -2, -4, 0, 2],\n [3, -2, -4, 2, -6, 2],\n [-2, 4, 0, -6, -6, -2],\n [2, -4, 2, 2, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -276811 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 1, 2, 3, -4, -2],\n [1, 6, 6, -2, 3, -2],\n [2, 6, -6, 1, 0, -2],\n [3, -2, 1, -3, 0, 0],\n [-4, 3, 0, 0, -3, -4],\n [-2, -2, -2, 0, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{... | 120522 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^5 where A is:\n[[4, -3, -4, -6, -4, -3],\n [-2, -1, -5, -5, -1, -2],\n [-6, -4, 4, -2, 6, 5],\n [5, -5, -6, 2, -2, -5],\n [3, -3, -4, 0, -6, 3],\n [5, 5, -3, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1039905 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[6, -2, -3, -3, 4, 5],\n [-5, 1, 5, -3, -5, 2],\n [6, 5, 3, 6, 0, -4],\n [0, -6, 5, -6, -3, -3],\n [-3, 2, -1, -4, -1, -5],\n [-5, 0, -4, 0, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 13791 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of all entries of the result:\nA =\n[[5, -5, -3, -3, -4, 2],\n [-1, -2, 6, 5, 5, -1],\n [6, 4, 1, -2, 6, 6],\n [-3, 0, 5, -2, -3, -2],\n [4, -3, 1, 1, -6, 5],\n [-4, 4, -3, -5, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -82199 | MATH |
[
{
"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 1, 5, -5, 2, 6],\n [0, -1, 1, -5, -2, -3],\n [1, 6, -6, 5, -4, 3],\n [1, -2, -3, -1, 5, -2],\n [-4, 6, 4, -2, -3, -6],\n [-6, 0, -3, -6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | -425 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[5, 4, 5, 4, 4, -6],\n [1, 5, 6, 2, 4, -4],\n [0, 6, -2, -4, -2, 3],\n [0, 0, 2, 1, -3, -2],\n [-2, 3, 5, -5, 5, 0],\n [0, 2, 6, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 39327 | MATH |
[
{
"content": "Find the value at position (4, 4) of the 5th power of the matrix:\n[[0, 2, -2, 5, -2, 2],\n [2, 1, -6, 0, 4, 1],\n [-2, -6, -6, 1, -2, -1],\n [5, 0, 1, 0, -6, 5],\n [-2, 4, -2, -6, 2, 2],\n [2, 1, -1, 5, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 28131 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-6, -6, 4, -4, 3, -5],\n [0, -4, 0, 2, 5, 4],\n [-6, -4, 6, 4, -1, 6],\n [2, -2, -4, 1, 6, 5],\n [-2, -1, 6, -5, -3, -6],\n [6, -3, -6, -3, -5, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | -16866 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 5th power of the matrix:\n[[-1, -2, 2, -2, -6, 2],\n [-2, -1, -6, 2, 0, 0],\n [2, -6, -1, -1, 0, -2],\n [-2, 2, -1, -3, -2, -2],\n [-6, 0, 0, -2, 6, -5],\n [2, 0, -2, -2, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 988142 | 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, 1, -6, 4, 0],\n [6, 3, -4, 3, 6, 3],\n [2, -2, 4, -4, 1, 5],\n [-4, 0, 0, 0, 5, -6],\n [4, -2, 5, 4, -6, 0],\n [6, 6, 1, 0, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your a... | 2151222 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 0, 5, -2],\n [-2, 5, 1, -2, 0, -2],\n [2, 1, -4, 5, 0, 1],\n [0, -2, 5, -5, 2, -2],\n [5, 0, 0, 2, -3, 0],\n [-2, -2, 1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{You... | 97868 | MATH |
[
{
"content": "Calculate the matrix power A^5 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 2, -2, 3, -5],\n [3, -6, 0, 4, -6, 1],\n [2, 0, 2, 3, -1, 0],\n [-4, 2, -4, -1, -3, 2],\n [-6, 2, 5, -3, 3, -2],\n [4, 6, -6, -6, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{... | 252060 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[6, -3, 4, -6, 5, 0],\n [-3, -5, 0, 2, 5, 6],\n [4, 0, 5, 2, 4, -2],\n [-6, 2, 2, 5, -2, 2],\n [5, 5, 4, -2, 5, -2],\n [0, 6, -2, 2, -2, -6]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "use... | 198317 | MATH |
[
{
"content": "For the matrix power A^5 where A =\n[[-2, 6, -1, -1, 5, -6],\n [0, 1, 5, -2, -5, -5],\n [4, -2, 0, 0, 6, -3],\n [4, -4, 2, 5, 0, -5],\n [-6, 4, -5, 6, 5, -4],\n [-2, -4, 3, 2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 793122 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^5 where A is:\n[[0, -3, -4, 3, -6, 5],\n [2, 6, 4, -6, 4, 6],\n [-6, -6, -2, 0, 0, 3],\n [-6, -1, 2, -1, -3, 3],\n [2, 6, -4, 6, 3, -3],\n [-3, -3, -1, 6, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 174830 | MATH |
[
{
"content": "Find the value at position (2, 6) of the 5th power of the matrix:\n[[0, 2, 4, -4, 1, 1],\n [-6, -2, 6, 3, -2, 5],\n [1, 1, 5, -5, -4, -5],\n [-6, -5, 3, -1, 5, -6],\n [-1, -6, -5, 1, -1, 2],\n [-6, -2, 0, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 16823 | 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, -2, 0, 1, 2],\n [2, 0, 0, 2, -2, -2],\n [-2, 0, -5, -2, 0, -2],\n [0, 2, -2, 3, 0, -2],\n [1, -2, 0, 0, 0, -2],\n [2, -2, -2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{... | 116135 | MATH |
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, 2, -1, 0, 4, 2],\n [2, -2, -1, -2, 1, 1],\n [-1, -1, 5, -3, -3, 1],\n [0, -2, -3, 0, 0, 3],\n [4, 1, -3, 0, -1, 4],\n [2, 1, 1, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{You... | 34579 | MATH |
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