messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[2, 0, 6, -11, -4, -6, 4, 2, -4, 4, 2, 4],\n [0, 14, 4, 2, -2, -2, 11, 0, 8, -10, 8, -8],\n [6, 4, 10, -8, -5, -8, 5, -11, 4, -4, 4, 2],\n [-11, 2, -8, -1, 4, 10, 15, 2, -8, 8, -5, 3],\n [-4, -2, -5, 4, 16, -4, 0, 3, -7, 10, 2, -12],\n... | 34743573169101 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-14, 1, -4, 2, 0, -7, 14, 12, -10, 7, -12, -4],\n [1, 8, 4, 2, -2, -8, 6, 1, -4, 12, -11, -7],\n [-4, 4, 0, 0, 0, -6, 4, 2, 13, -11, 0, 1],\n [2, 2, 0, 12, -6, -13, 0, 7, -4, 5, 4, 7],\n [0, -2, 0, -6, -16, -10, 8, ... | 7709541281198519 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[-13, 5, -10, 8, -12, 8, 4, 16, 8, 5, -6, 14],\n [5, 16, 2, -8, 6, 4, -8, 1, 6, 4, -1, -8],\n [-10, 2, 1, 8, -2, -1, 6, 2, 8, -10, 6, 5],\n [8, -8, 8, 10, -4, 4, 3, -14, -12, -1, 4, -5],\n [-12, 6, -2, -4, -8, -7, -5,... | 10683267526293648 | MATH |
[
{
"content": "Find the value at position (7, 11) of the 8th power of the matrix:\n[[-11, -3, 16, -9, 9, -2, -3, 3, 2, 16, 7, -7],\n [-1, -2, 1, -10, 5, 15, 2, -16, -12, -5, -5, 4],\n [2, -8, 15, 14, 15, 15, 13, 15, -15, -6, 3, -8],\n [2, -10, -12, 7, -10, -6, -8, 13, -14, 5, 3, 15],\n [-10, -10, 3, 8, 7, -4, -1... | 131011889225 | MATH |
[
{
"content": "What is the value at position (1, 5) of the matrix A^8 where A is:\n[[-8, -14, -9, 2, 2, 4, 10, 6, -6, -2, -2, 5],\n [-14, -14, 0, -3, -6, -15, -3, 0, -8, 0, 7, -8],\n [-9, 0, -13, 4, 0, -10, 0, -4, 4, -2, -3, 2],\n [2, -3, 4, 11, -7, 4, 8, -2, -5, 2, 6, 14],\n [2, -6, 0, -7, -4, -2, -4, 6, 2, 2, ... | 316357707566 | MATH |
[
{
"content": "What is the value at position (10, 11) of the matrix A^8 where A is:\n[[11, -2, 6, 7, -4, 4, -5, -4, 6, 11, -3, 0],\n [7, 5, -7, -9, 4, -10, 9, -4, -1, 13, 14, -12],\n [15, -1, -8, 5, -3, -1, 3, -2, 9, -8, -16, 3],\n [-11, -7, 16, -1, -11, 2, 14, -15, 1, 11, -13, -16],\n [-1, -15, -16, 6, 9, -6, -... | -109905456494 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-7, -2, 8, -4, 4, -6, 6, -14, -6, 8, -11, 6],\n [-2, -9, -1, 14, -6, 7, -5, -2, 0, -5, -5, 6],\n [8, -1, -13, 2, -3, 0, 6, -2, 2, 13, -2, 2],\n [-4, 14, 2, 7, 1, 10, -10, -2, 2, 4, -2, 4],\n [4, -6, -3, 1, -4, 2, -8,... | 13240897890181 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[7, -8, 9, 6, -14, 11, -1, 2, -5, -2, -3, -10],\n [-8, 12, 2, 0, -2, 10, -6, 6, 6, 9, -2, -6],\n [9, 2, -13, 0, -12, 4, 0, 12, -3, 5, 1, 14],\n [6, 0, 0, -15, -2, -12, 1, 5, -2, -7, 7, 9],\n [-14, -2, -12, -2, 3, ... | 57453997171933 | MATH |
[
{
"content": "What is the value at position (11, 10) of the matrix A^9 where A is:\n[[1, -12, -6, 2, 2, 6, -9, -8, -12, -10, -8, 4],\n [-12, -7, 12, -12, 0, 12, -6, -14, 2, -4, -8, 6],\n [-6, 12, -15, -16, -9, 2, -5, -3, -2, -4, -5, -2],\n [2, -12, -16, -16, 3, 3, -6, 4, 0, -2, -2, 3],\n [2, 0, -9, 3, 16, -1, -... | -4464603974863 | MATH |
[
{
"content": "Find the value at position (5, 4) of the 7th power of the matrix:\n[[9, -5, -3, -16, 0, 16, 12, 14, -9, 13, -4, -1],\n [-15, 1, 2, -4, -13, 2, 8, 14, -13, -10, -1, -12],\n [6, 15, 7, 8, 11, 2, -10, 0, -15, -1, 1, -16],\n [-14, 4, 13, -6, 5, 8, -14, 13, 7, 6, -9, -13],\n [14, 12, -4, -8, 4, -14, 8,... | 13491351782 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[4, 5, -13, -16, -7, -2, 12, -12, 12, 10, 8, -1],\n [-1, 8, -16, -12, 3, -12, 12, 1, -15, -1, 12, 16],\n [-1, 0, -13, -13, 8, 16, -3, 7, -6, 8, 11, -10],\n [-7, 14, 2, 1, -11, 11, -10, -5, 8, 0, 16, 6],\n [-8, -11, -15, -8, -14, -1, 8, ... | -396308406800 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[13, 0, -1, 4, 3, -11, -8, -4, -2, -2, -10, -4],\n [0, -9, -8, -7, -4, -2, 6, -4, 0, 0, -8, -10],\n [-1, -8, 10, 9, 4, -4, 4, -8, 2, -2, -10, 10],\n [4, -7, 9, 11, -12, 1, 4, 5, 7, 4, -10, -5],\n [3, -4, 4, -12, -11, 2, 6, -6, -8, -6, 4, -6],\n [-11, -2, -4, 1,... | -823143196504972 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[8, 4, 7, 4, 2, 4, -6, -6, 5, -4, -8, -4],\n [4, -8, 6, -9, 6, 6, -2, 2, 11, -5, 10, 13],\n [7, 6, -7, 10, -2, -8, -7, -6, 6, 0, -10, -6],\n [4, -9, 10, -7, -5, 0, -8, 2, 6, 8, -5, 14],\n [2, 6, -2, -5, -10, -5, -2, -2, -11, -6, -2, -2],\n [4, 6, -8, 0, -5, 14,... | 348097592937795 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-12, 2, -2, 12, -14, 0, -12, 6, -6, -3, -1, -9],\n [2, 13, 3, 0, 6, -2, -12, 0, -8, -2, -4, -2],\n [-2, 3, 5, 9, -10, 1, 1, -8, -1, 3, 6, 4],\n [12, 0, 9, -8, 1, -7, 2, -1, 4, -2, -2, -7],\n [-14, 6, -10, 1, 0, 5, 6, 6, 4, 0, -4, 0],\n... | 3211524059521 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[3, -4, 7, -14, -7, -16, -4, -3, 16, -15, -15, 14],\n [-13, 2, -8, 7, -4, 13, 2, -7, -3, 3, -13, -12],\n [15, -11, -3, -11, -3, -5, 10, 9, -5, -9, -7, -1],\n [9, -9, 12, 3, 0, 2, 0, -16, 12, -3, 0, -4],\n [12, 10, 16,... | 1096811069197 | MATH |
[
{
"content": "Find the value at position (8, 1) of the 9th power of the matrix:\n[[6, -4, 15, 5, -10, 5, 4, -11, -3, -1, -14, -8],\n [4, 13, 13, 15, 6, -14, -16, -14, -10, -14, -14, -13],\n [14, -15, -3, 14, -15, 14, 5, -7, 13, 16, 2, 8],\n [-16, 15, 8, 0, -3, -4, -15, 15, 15, -11, 8, -14],\n [1, -14, -12, 7, 7... | 11004582873465 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-7, 6, 7, -4, 12, 10, 14, -7, 14, -7, 7, 16],\n [-3, 0, 4, 15, -14, -2, -9, 15, 9, 13, -8, 15],\n [-6, 5, 1, 2, 1, 1, -5, -13, 10, -12, -11, -4],\n [6, 8, -13, 15, -2, 9, -6, -8, -6, -15, 10, 9],\n [-9, 4, 4, -9, -16, -4, -8, 11, -11, 6, 0, -8],\n [-5, 5, -5, ... | -1700042880918 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-8, 1, 4, 10, 15, -8, 3, 13, 4, -12, 1, 10],\n [1, -15, -10, 0, -10, -2, -2, 13, 10, -14, -12, -1],\n [4, -10, -11, 10, -6, 10, -5, -5, 10, -6, 3, 4],\n [10, 0, 10, 6, 1, -6, 3, -3, 5, 2, 10, 6],\n [15, -10, -6, 1, -15, -2, -5, -10, -2, 7, -10, 7],\n [-8, -2, ... | 1468031269683 | MATH |
[
{
"content": "What is the value at position (8, 8) of the matrix A^7 where A is:\n[[15, -6, -3, 8, -9, -5, 2, -10, 0, 0, 1, 2],\n [-6, 8, -4, 8, 6, -8, -14, 11, 4, -8, -10, -6],\n [-3, -4, 11, -4, 0, -8, -4, 4, 1, 4, -8, 6],\n [8, 8, -4, -2, -6, -5, -4, 3, -2, 8, -10, -2],\n [-9, 6, 0, -6, 7, -4, 11, -11, 0, 1,... | 20060207513 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[10, -10, -12, -2, -9, -8, -6, 5, -4, -6, 15, -2],\n [-16, 7, 5, -14, -3, -15, 15, 16, -11, 8, -6, -10],\n [5, -7, 4, -11, -16, -3, 10, -8, -11, 14, 0, 4],\n [10, 11, -1, 2, 4, 16, 6, -11, 15, 5, -14, -1],\n [8, 0, -4, 11, -6, -7, 7, 7, 16, 0, -11, -1],\n [11, ... | 340638067612159 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -16, 2, 16, 13, -5, -7, -1, 12, -2, -6, 13],\n [-8, 1, 2, -13, -11, 16, 15, -1, -6, 5, 6, 9],\n [14, 12, -12, 8, -5, 5, -8, 3, 12, 12, 10, 0],\n [-12, -4, -2, -2, 1, -15, 6, -4, -13, 8, -6... | 22839778971053 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-15, 9, -4, 6, -4, 14, -7, -2, 3, 13, -6, 0],\n [9, 10, 4, 8, 0, 6, -7, -2, 13, -8, -6, 10],\n [-4, 4, 12, 0, -6, 0, -2, -3, 3, -6, 4, -6],\n [6, 8, 0, 5, 4, 6, 6, -2, 5, 2, -10, 6],\n [-4, 0, -6, 4, 5, 3, -5, 0, -8... | 805428270061 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[11, 4, 2, 3, -2, 3, -8, 14, -6, 8, -12, -2],\n [4, -3, -4, 12, -2, 2, -10, -8, 6, -3, -3, 8],\n [2, -4, 0, 13, -12, 6, -7, 0, 0, -3, -10, 0],\n [3, 12, 13, -4, 10, 4, 11, -6, -13, -7, 3, -1],\n [-2, -2, -12, 10, 2, 4, -6, -12, 8, 8, 2,... | 86465947256043 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[13, 5, 2, 14, 3, 2, -15, 10, -9, 10, -2, -5],\n [-3, -10, 0, 9, 3, -7, 2, 1, 13, 13, 8, 7],\n [-7, -15, 15, -10, -10, 10, -7, 16, -10, -11, -11, -4],\n [-4, -15, 2, 2, -15, 9, -11, 3, 6, -2, -11, 11],\n [-6, -9, 7, 4... | 2321046344915 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-5, 13, 3, 3, 10, 3, -10, 13, -9, -15, -3, -7],\n [1, 1, -1, -12, 14, 3, 6, 15, 0, -4, -4, 0],\n [-2, 9, 11, 13, 5, -7, -6, 16, -11, -10, -5, -10],\n [-15, -16, 6, 8, 1, -10, -14, 12, -7, -12, -9, -3],\n [-11, -16, 16, -6, 7, -7, 6, -1, -1, 14, -11, 13],\n [-1... | 681381479325 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[1, -8, 11, 4, -1, 1, 1, 6, -8, -4, -4, -1],\n [-8, 0, 8, 6, 7, -6, -13, -4, 11, 2, 12, 6],\n [11, 8, 0, 8, -8, -4, -6, 2, 6, -2, 6, 8],\n [4, 6, 8, 14, -8, -5, -8, -5, 4, 4, -4, -10],\n [-1, 7, -8, -8, 4, 7, 7, 1, -10, -2, 5, 4],\n [1, -6, -4, -5, 7, -14, -12,... | 3643335632365234 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-4, -6, 9, 4, -15, 3, 0, -1, -12, -3, 7, -13],\n [7, -8, -14, -8, 1, 2, 7, -13, -8, 16, -16, -7],\n [-5, 1, -3, -7, -7, 1, 7, -16, 13, -2, -9, 1],\n [-1, 4, -2, -12, -10, -10, 10, 8, 5, -4, 0, -4],\n [9, -8, -12, 16, -13, 11, 9, -13, -1, 5, 8, -9],\n [0, 1, -5... | 357091621603 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, 13, -14, -11, 12, -14, 16, -6, -12, 15, 1, 3],\n [11, -4, 9, -1, 8, -7, 12, 3, 9, 15, 7, 14],\n [-5, -7, -11, -10, 14, 10, -9, -14, 4, -16, -2, -10],\n [-2, 8, -14, 13, -3, -13, -14, -12, 8, 14, -6, -9],\n [9, -15, 11, -7, 4, 11, 16, -6, -16, 16, -14, 9],\n... | 3470072687567521 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-4, 1, 6, 16, 0, -5, -12, 10, -4, 9, -3, 15],\n [-6, -1, 5, -1, -4, -5, 1, 12, 1, -15, -15, -14],\n [12, -9, -6, -5, 15, -13, -8, 7, -1, 0, 5, -10],\n [-7, 12, 7, -3, -3, 8, 5, 6, 15, 9, 10, -5],\n [2, 2, 15, 12, 4, -12, -5, -10, -15, 8, -7, -11],\n [10, -7, -... | 24062561322112 | MATH |
[
{
"content": "Find the value at position (12, 9) of the 9th power of the matrix:\n[[-13, 0, -2, -3, 0, -4, 8, -3, -6, 2, -8, -2],\n [0, 9, 14, 14, 0, -6, 6, 0, 2, -9, 1, 10],\n [-2, 14, 7, 4, 7, -6, 10, 10, 6, -2, 0, -10],\n [-3, 14, 4, -1, -1, 3, -6, -12, 5, 2, 4, -9],\n [0, 0, 7, -1, 12, 10, 9, 2, -6, -4, -8,... | -6128154515887 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-8, 11, 6, 3, 12, 6, 8, -1, 1, 4, -1, 6],\n [11, 9, 6, -7, 4, -8, 6, 0, 2, 0, 2, 12],\n [6, 6, 6, 5, 5, -3, -7, -8, 10, 0, -4, 10],\n [3, -7, 5, -9, -8, 11, -14, -6, 2, 0, 0, 2],\n [12, 4, 5, -8, -15, -1, 2, 4, 0, 0, 0, 8],\n [6, -8, -3, 11, -1, 5, -4, 6, 0, -... | 1813486323291 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-5, -4, 14, -7, 3, -2, -1, -5, 14, -12, 8, -6],\n [-4, 13, -8, 13, -6, -6, 0, -14, 9, -5, 10, -10],\n [14, -8, -12, 0, -8, 6, 13, -2, 8, 13, 10, 1],\n [-7, 13, 0, 3, -8, -14, -4, -1, -6, -2, -6, 0],\n [3, -6, -8, -8... | 2873066247218 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[7, 0, 10, -2, -8, 1, -6, -12, 0, -14, -2, 3],\n [0, 1, -15, 7, 13, -4, 4, 6, 2, -13, 6, -12],\n [10, -15, 14, 4, 4, 6, 6, -3, 4, -3, -6, -9],\n [-2, 7, 4, -13, 5, 0, -6, 9, 0, -9, 4, 13],\n [-8, 13, 4, 5, 14, 7, 12, -1, 8, 13, 0, -8],\n [1, -4, 6, 0, 7, -16, -... | -165584050614000 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (1, 7) of the result:\nA =\n[[0, 3, -3, 12, -4, 0, -13, 3, -6, 5, -9, 11],\n [13, 16, 16, 10, 3, 16, 8, 2, 4, 16, -14, -3],\n [-2, 16, 5, -16, 14, 3, 15, -5, -1, -9, -3, 1],\n [13, 16, -10, -11, -11, 5, -9, -2, 9, -14, -7, -14],\n [13, ... | 27305610065853 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[12, -2, 4, 2, 11, -13, -4, -2, 15, -14, 13, 3],\n [-15, 8, -6, -16, -7, 0, 13, 2, 15, -5, 0, -11],\n [-4, 5, -6, -10, 4, -16, 13, 2, 12, 3, -16, 6],\n [14, 5, -10, 16, -10, 10, -15, 0, -16, 13, 5, 11],\n [16, 9, -6, ... | 3196878466423702 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-3, 0, 12, -14, 3, 11, -4, -12, -8, -4, 6, -11],\n [0, -13, 1, -2, -2, 2, 1, -5, -12, 2, -2, -2],\n [12, 1, -8, -9, 6, 6, -6, -4, 4, 3, -2, -8],\n [-14, -2, -9, -7, 0, -2, 4, -2, 12, -8, -4, -2],\n [3, -2, 6, 0, 14, -10, 12, -8, 14, 2... | -66356084018 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-15, 0, 2, -8, 5, 2, 6, 2, -4, 8, -1, -8],\n [0, 9, -10, -4, -2, -10, -4, -6, -4, -8, -4, 2],\n [2, -10, 6, -4, 2, 7, 16, 10, -2, -4, 5, 3],\n [-8, -4, -4, -13, 2, -4, -6, 6, 2, 0, -2, 2],\n [5, -2, 2, 2, -15, 0, 3, 10, -4, 0, 0, 8],\n [2, -10, 7, -4, 0, -15, ... | 16085924781830 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-16, -2, -14, -2, 4, 5, -6, -8, 0, 2, -4, 0],\n [-2, -5, 4, -8, 2, -3, -9, 4, -1, -6, 6, 11],\n [-14, 4, 9, 4, 10, 7, 0, 6, 6, 7, 2, -12],\n [-2, -8, 4, -3, 0, -10, -1, 2, -8, -1, 5, 11],\n [4, 2, 10, 0, 11, 1, 8, -... | 29684781740626 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-5, 14, -2, -12, 0, -3, 0, -2, -6, 0, 0, -3],\n [14, -3, -5, 2, 13, 9, 6, -2, -2, 2, -2, 0],\n [-2, -5, -4, 4, 5, 2, -8, 12, 2, 10, 6, 16],\n [-12, 2, 4, 0, -1, -6, -12, 10, -2, -4, -2, -6],\n [0, 13, 5, -1, 10, -6, 16, 0, 8, -1, 10, 5],\n [-3, 9, 2, -6, -6, 1... | 12913341968136 | MATH |
[
{
"content": "Find the value at position (1, 6) of the 9th power of the matrix:\n[[-15, 10, 16, 15, 10, 11, -14, -9, 5, -3, -2, -13],\n [1, -16, -5, 0, 2, -10, -8, -9, 8, -10, -9, 7],\n [0, -5, 14, -5, -15, -5, 10, -10, -4, -16, 13, 14],\n [0, -9, -14, -7, 5, -13, 15, 12, -6, -4, -13, -15],\n [5, -12, -8, 3, 4,... | 35870275141497 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-15, 14, 16, 13, 14, -10, 8, -1, 5, 10, 0, -13],\n [5, -2, 4, -4, -6, 10, 14, 15, 13, 1, -1, -8],\n [-7, -5, -9, -14, 2, -6, -9, 9, 6, -7, 1, -5],\n [9, -6, -7, -14, -10, -13, -9, -4, -5, -15, -2, 9],\n [-12, 8, ... | 269642147470032 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[13, -1, -6, -3, -2, -10, 12, 5, 6, 7, -7, -9],\n [-5, 12, 12, 6, 9, 15, -11, -9, 0, -5, 5, -3],\n [2, -11, 1, -2, -8, -11, -15, -1, -16, 13, 16, -16],\n [-1, 0, 1, 5, 5, 14, 10, -13, -12, 8, 14, -3],\n [13, -5, 10, 7, 13, 1, -3, 2, 5, ... | -156735966702 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 5, 13, 0, -1, -9, 14, -5, 16, -5, 8, 1],\n [2, -14, -12, 10, 4, -1, 11, 8, 16, 0, 13, -13],\n [-15, -8, 14, 8, -12, 7, 7, 12, 14, 2, 6, -11],\n [-11, 13, -16, -9, 11, 8, 16, -3, -6, -15, 13,... | 729382112107 | MATH |
[
{
"content": "Find the value at position (5, 6) of the 8th power of the matrix:\n[[-13, -16, 8, 9, -6, 6, -15, 2, 12, -13, -1, 10],\n [-12, -2, 6, -14, 1, 9, -11, 0, 10, 3, -11, -5],\n [-14, -13, -13, -13, 4, -15, -1, -10, 2, 16, -8, 0],\n [10, 16, -5, -6, -4, 14, -4, 9, 14, 5, -11, 3],\n [4, -7, 2, 9, -10, -9,... | -343653798819 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -13, -5, 10, 0, 3, 14, 9, 14, -8, -12, -9],\n [4, -1, -1, 1, 11, 1, -3, -1, 4, -16, -6, -6],\n [-15, 15, 2, -12, -14, 11, 9, 6, 13, -9, 12, -4],\n [8, 5, 16, -10, 6, -11, -2, -2, -3, 12, -... | 431331061916 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-14, -15, -9, 14, -9, -15, 5, -12, -10, 3, 11, -4],\n [-15, 15, 9, -14, -4, 4, 6, -10, 0, 11, 13, -12],\n [7, -10, 16, 10, -3, 2, -5, -14, -10, 8, -2, 2],\n [2, 6, -6, 4, -10, 10, 6, 3, 10, -9, -14, -15],\n [5, -11, 7, -5, 0, 5, 2, -8, -5, 15, 14, 0],\n [6, -7... | 41477427411 | MATH |
[
{
"content": "Find the value at position (12, 11) of the 7th power of the matrix:\n[[-1, 5, 14, 14, -16, -6, -11, 6, -8, -1, 2, -4],\n [15, -8, 14, 14, 2, -15, 15, -16, 4, -14, 10, -10],\n [16, -8, 13, 1, 9, 3, 14, -9, 6, 8, -16, 1],\n [2, -11, 0, -9, -8, 10, -11, -11, -13, 5, 10, -15],\n [-8, -6, 3, -3, 9, 13,... | -46476304 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -15, 1, 12, 3, -9, 9, -13, 16, 5, -11, 16],\n [11, 7, -13, -15, -4, -6, -7, -7, -9, -12, 6, 15],\n [-1, -13, 11, -3, -5, 4, -1, -15, 6, 12, -8, -10],\n [12, 0, -8, -11, 3, -7, -8, -5, 16, 1... | 1224958140558597 | MATH |
[
{
"content": "What is the value at position (7, 11) of the matrix A^8 where A is:\n[[0, 4, -1, 9, -8, -15, -2, 7, -3, -11, 1, 5],\n [1, -15, 15, 0, -16, -8, -4, 13, 14, 6, 11, -7],\n [8, 9, 9, -4, 0, -13, 6, -6, -5, -8, -2, -12],\n [2, -6, -8, 10, -4, -5, -8, 11, -4, 3, -4, 10],\n [9, 12, 12, 5, -8, 7, 2, 14, -... | -26777931056 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-8, 11, -4, 14, -3, 5, 7, -9, -2, -11, 6, 8],\n [14, 12, 6, -7, -8, -4, 15, -16, -16, 1, 14, -16],\n [-8, 5, 11, 9, -7, -14, -15, 14, 16, 15, -5, -14],\n [9, -3, -5, 9, -1, -9, 11, -10, -2, -9, -7, -2],\n [1, -15, 5, -2, -12, -2, 10, -1, 1, 8, 5, 14],\n [6, -1... | 2833054423489 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-13, 1, -4, -1, 10, 0, 12, -13, 6, -5, -6, -1],\n [1, -1, 0, 15, -2, 2, -3, -3, 10, 6, -10, 0],\n [-4, 0, 2, 1, -2, 10, -12, 2, -9, -2, -2, -2],\n [-1, 15, 1, -13, -12, -6, -13, 3, -7, 15, 8, 4],\n [10, -2, -2, -12,... | 4217466196454 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, -11, -4, -11, -6, 9, -12, 2, -4, -2, 7, 0],\n [-11, -6, -3, 3, 0, 2, -5, 10, 4, -2, 4, -6],\n [-4, -3, 6, 4, 2, -10, 6, 3, -1, -1, 4, 8],\n [-11, 3, 4, -1, -2, 8, -6, -11, 1, -3, -1, -8],\n [-6, 0, 2, -2, -6, 11, 1, 2, -7, -2, -5, -2],\n [9, 2, -10, 8, 11, ... | -650567500286816 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-15, -15, 1, 0, -9, -12, 12, 11, -1, -3, -15, -13],\n [14, 9, 10, 14, -6, -9, -5, -4, 10, -9, 4, -6],\n [5, 4, 11, -14, -10, -3, -2, -8, -10, -5, 2, 10],\n [1, -4, -16, 4, -4, 6, -16, 6, 11, 15, -9, 9],\n [-3, 7, 12, -13, 1, -3, 10, -14, 13, 6, 1, -7],\n [-5, ... | -3544898164183 | MATH |
[
{
"content": "What is the value at position (10, 5) of the matrix A^8 where A is:\n[[7, 0, 0, 3, -8, -2, -13, 10, -8, 9, 2, -4],\n [0, -7, 4, -10, 4, 0, 8, -14, -6, 4, -2, 13],\n [0, 4, 14, 16, 0, 2, 0, 2, -10, 6, 8, 0],\n [3, -10, 16, 14, -4, 0, -6, 4, -8, 8, 15, 4],\n [-8, 4, 0, -4, -7, -3, 0, 9, 14, -2, 9, 0... | -1624688301965 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-12, 13, -16, -12, -3, -6, 12, 1, -2, 8, 13, -15],\n [10, -2, 15, 3, -3, 10, -14, -14, -4, 8, 1, -16],\n [-12, -15, 13, 0, 12, -13, -8, 4, -5, -5, -13, 11],\n [-8, 15, -4, 2, -3, -12, 10, 11, 9, -7, 7, 0],\n [-1, 0, -16, 4, 5, -12, 4, -8, 10, -5, 1, -2],\n [13... | 931236074961 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[13, -15, 1, -12, -11, -5, -5, -5, -8, 5, -1, -13],\n [-14, -1, -3, -13, -15, -7, -6, 9, 9, -13, 9, 11],\n [-15, -15, -1, 6, 6, -4, 4, 8, -4, -2, 11, -14],\n [6, -13, -14, -9, 8, -5, -12, 16, 8, 8, -2, 9],\n [-7, 7, 12, -12, 7, 2, -8, 9, 8, -3, -11, 15],\n [9, ... | -262094189984 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[4, -8, -6, -12, 4, -14, 0, -13, 8, 0, -2, -2],\n [-8, 16, 5, -4, -11, -8, -13, 7, 10, -7, -2, 2],\n [-6, 5, -2, -5, -13, -1, -10, 1, -2, -2, 2, 2],\n [-12, -4, -5, -16, 2, 2, 3, -14, -8, -6, 10, -8],\n [4, -11, -13,... | 5696547120668 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[14, -5, 13, -13, 13, -12, -1, 10, -13, -9, -9, 0],\n [-14, 10, 4, 7, 12, -11, -3, -3, 7, -4, -16, -5],\n [7, 3, -11, -5, 4, -14, 10, 0, -2, -13, 0, -6],\n [-5, 15, 10, 10, 12, -8, -14, 12, 4, -7, 6, 8],\n [7, 3, -2, 4, -5, 1, 6, 12, -... | 2316224890854 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[12, 2, 2, 0, 14, 4, 6, -4, 10, 1, 10, 10],\n [2, 2, 14, 6, -5, 6, -2, -6, 10, 4, 4, -7],\n [2, 14, 8, 10, -8, -2, -4, 4, 12, -10, 5, -12],\n [0, 6, 10, 15, 2, -2, 7, -3, -8, -4, -15, 2],\n [14, -5, -8, 2, 7, -6, -2,... | 81690830663992 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[-3, 10, -8, 12, 3, -2, -14, 6, -8, 13, 2, -14],\n [-14, -15, 10, 6, 15, 1, 10, -6, 2, 8, -10, 14],\n [-15, -12, -3, 1, -13, 7, -4, 4, 16, 3, -12, 7],\n [13, 11, -10, 13, -8, -5, 12, -7, 10, 2, -4, 15],\n [-2, 4, ... | 86945422467591 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[8, -12, 6, -5, 6, -1, -12, 11, -11, -4, 13, 9],\n [0, -8, -1, 1, -4, 12, 7, -4, 8, -16, -8, -13],\n [11, -5, 7, -8, 16, 3, -15, 9, -4, 13, 15, 2],\n [5, -16, -6, 9, 2, 2, -5, -14, 1, -12, 7, -3],\n [-14, -11, -5, -6, 9, -16, -1, -8, -12, -9, 4, 16],\n [3, 5, -... | 272020298643348 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[2, 16, 4, -16, 9, -7, -4, -11, -11, -1, -9, -14],\n [-12, 4, 14, -3, 2, 3, -15, -10, 16, -11, -10, 1],\n [12, 2, 8, -13, -4, 15, 10, 11, -8, -9, 4, 13],\n [12, -8, -4, 1, 5, 14, -7, -8, 14, 7, -9, 3],\n [0, 11, -11, 16, 11, -16, 7, -11, -10, -8, -1, 3],\n [6, ... | 2001553492755342 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-12, -5, -6, 10, 4, 6, 0, -2, -2, -4, 10, 0],\n [-5, -14, 10, -6, -10, 6, 5, 2, 4, 12, -1, 2],\n [-6, 10, 9, -6, -14, -14, 2, -4, 4, 4, -4, 4],\n [10, -6, -6, -4, -4, 7, -1, 8, 15, -14, 9, -14],\n [4, -10, -14, -4, 3, 13, 2, -10, 5, 2... | -270054650252 | MATH |
[
{
"content": "What is the value at position (4, 5) of the matrix A^8 where A is:\n[[0, 2, 2, -12, -12, -3, 10, 4, -12, 7, 7, -4],\n [-16, -7, -15, -1, -1, 6, 9, -1, 10, 13, 16, 15],\n [-8, -6, -11, 13, -2, 13, 1, -5, -13, -1, 6, -6],\n [7, 5, -2, -2, -7, 11, 0, 5, 6, 12, 5, -6],\n [12, 15, -3, 1, 6, 15, -14, 5,... | 54928875084 | MATH |
[
{
"content": "What is the value at position (6, 7) of the matrix A^9 where A is:\n[[-6, 10, -7, -6, -2, 6, 0, 6, -2, 10, -6, 8],\n [10, -13, -8, -7, -4, -5, -4, 3, 4, 8, -2, -3],\n [-7, -8, -1, -8, -4, 5, 6, 6, -5, -5, 4, 4],\n [-6, -7, -8, 2, -8, -2, 0, 4, 0, 1, -8, -10],\n [-2, -4, -4, -8, -5, -2, 9, 4, 10, 5... | -10414134801210 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-10, 2, -8, 2, 4, -4, 4, 12, 5, -10, -12, 10],\n [2, -5, -6, -4, -6, -6, -12, -3, -3, 6, -9, -4],\n [-8, -6, 15, 6, -7, 2, 2, -6, -10, -8, 0, 2],\n [2, -4, 6, 15, 4, 6, -7, 2, -1, -2, -2, -10],\n [4, -6, -7, 4, 16, ... | 4296390796436410 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-4, -4, 4, 3, 0, 9, 14, 3, 7, 4, -5, 1],\n [-4, -4, -10, -2, 10, -7, 4, 0, -8, -8, -1, -8],\n [4, -10, 2, -7, 0, 0, 6, -6, 0, 6, -5, -4],\n [3, -2, -7, -4, -8, 8, -4, 4, 0, 5, 2, 10],\n [0, 10, 0, -8, 3, 4, 5, 0,... | 2666849199613 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[12, 10, -3, -7, -6, -6, 2, 7, -16, -5, -3, -14],\n [15, -1, -7, 0, -13, -2, 16, -7, -10, 16, 0, -5],\n [0, -1, -3, -14, 13, 9, -5, 14, 0, -9, 2, 9],\n [-13, -2, -3, 13, 7, 2, -14, -13, -6, -4, 1, 2],\n [16, -14, -16, 8, -4, -13, -11, -... | -2000455396182 | MATH |
[
{
"content": "What is the value at position (8, 5) of the matrix A^7 where A is:\n[[11, 2, -16, -4, -12, 16, -3, -1, 15, 10, -14, -13],\n [-10, -4, -14, 0, -7, -16, 11, -7, -10, -14, -10, -8],\n [9, -12, -4, 13, -7, 6, -6, -5, -4, -1, -8, -7],\n [12, -8, 16, 7, -6, -4, 6, 8, -1, 4, -7, 2],\n [11, -15, 13, -12, ... | -7838758766 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[5, -15, 6, 15, -5, -14, 7, 0, -16, -9, -2, 8],\n [-9, 15, -4, -2, -11, 16, -10, 16, 12, 15, -14, 3],\n [-3, 11, -13, -2, 0, 7, -9, -14, 13, 5, 16, 8],\n [13, -14, -13, 12, 15, 6, 2, -2, -1, 6, -16, 2],\n [13, 0, 9, -... | 2851084220174 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 4, 10, -12, 8, -2, -4, 2, -4, 0, -4],\n [-1, 6, 2, -7, 6, -6, -11, -7, 2, -12, 2, -8],\n [4, 2, 11, -10, -1, 2, -4, -2, -12, -9, -3, -6],\n [10, -7, -10, -9, -2, -11, 8, -14, 5, 0, -8, ... | 2137977941813 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-5, -13, 8, -9, -2, 13, 15, 4, 14, 10, -9, 6],\n [6, 16, -4, -1, -5, 14, -12, 8, 4, -14, -7, 6],\n [0, 8, -15, 10, -8, -13, 9, 15, 12, 5, -4, 6],\n [14, 14, -2, -3, 7, 13, 13, 10, -3, -6, 9, 4],\n [-8, -16, -11, ... | -1506127458620 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-15, -2, 2, -1, -8, -6, 3, -1, 6, 2, 11, -12],\n [-2, 15, -12, 8, -2, 4, 2, 3, -15, -14, 1, -4],\n [2, -12, 1, -8, -13, 5, 2, 0, 2, 10, 0, -4],\n [-1, 8, -8, -13, -11, 6, -12, 0, 0, -10, -10, 0],\n [-8, -2, -13, -11, 4, 10, -6, 6, -2, -7, -8, 0],\n [-6, 4, 5, ... | -730314620407927 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-1, 5, 6, -14, -14, -5, 6, -6, 12, -11, -1, -6],\n [-6, 8, 2, 15, -9, -5, -11, 4, 9, -16, 0, 10],\n [-15, -16, -7, 14, -12, -4, 7, 10, -16, 3, -9, -14],\n [15, 8, 8, -3, 10, 15, 10, -13, -6, -14, 8, 7],\n [-8, -9, 14, 0, 14, -13, -13, -9, -11, -8, -9, 15],\n [... | -32448283793 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-6, -3, -6, 12, -2, -2, 10, 5, 10, 5, -1, -4],\n [-3, -16, 6, 9, 5, 1, -4, 4, -6, 0, -10, 6],\n [-6, 6, -1, -8, 10, 0, 4, 12, -4, 2, -9, 14],\n [12, 9, -8, 1, -12, -1, 6, -2, 0, 2, 0, -1],\n [-2, 5, 10, -12, -8, ... | 3099190025850 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-9, 0, 0, -12, 4, -6, -10, 1, -6, 7, 14, 5],\n [0, -6, -14, 2, -7, 14, 2, -8, 4, -4, -1, 10],\n [0, -14, 6, -2, 4, -8, 9, -1, 15, -8, 13, 2],\n [-12, 2, -2, 16, 1, -4, -8, -8, 4, 4, -5, 6],\n [4, -7, 4, 1, -8, 2,... | 5939392065646 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[11, 7, -2, 0, -4, -10, -6, 2, -3, 1, -4, 2],\n [7, 16, -4, 4, -8, 2, 2, 8, -1, -2, 7, -6],\n [-2, -4, 0, 0, 0, -10, -2, 1, -4, 10, -4, -8],\n [0, 4, 0, -7, 0, 4, -9, 0, 8, 2, 4, 14],\n [-4, -8, 0, 0, 4, 2, 10, 10... | 11404353976003 | MATH |
[
{
"content": "Find the value at position (5, 2) of the 7th power of the matrix:\n[[-11, 9, -3, -9, 7, 5, 4, 9, -7, -4, -3, -8],\n [-10, 14, -1, -9, -2, 8, -2, 8, -10, 9, -9, 1],\n [4, -1, -14, -16, -4, 15, -5, 14, -15, -9, 8, -12],\n [-15, -14, 5, 16, 15, 0, 1, -14, -11, -4, 14, 0],\n [4, -1, 0, 15, -16, -9, -1... | -31336332066 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 9th power of the matrix:\n[[16, 15, -7, -2, -1, 10, 15, -11, -9, 8, -10, 0],\n [13, -15, 0, -13, 9, -3, -9, -12, -12, -12, 10, -12],\n [-14, 13, -16, -9, -4, 3, -11, -9, 13, -2, -7, 16],\n [-8, 16, -8, -3, 15, -11, -12, -13, -1, -7, 14, 14],\n ... | 4650655412718799 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-2, 15, -3, 3, -10, -8, 6, -6, 2, -6, 10, 9],\n [15, -13, 2, 12, 4, -3, -3, 4, 6, -14, 10, -1],\n [-3, 2, 9, 1, 4, -2, 2, 0, -4, 6, -8, -2],\n [3, 12, 1, 2, 4, -4, 5, 0, 4, 2, -6, -8],\n [-10, 4, 4, 4, 9, 8, 4, 6, 4... | 160998135184211 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (10, 1) of the result:\nA =\n[[-14, -9, -10, -2, 0, 4, -2, 8, -2, 6, 0, -4],\n [-9, 11, 6, -3, 6, 5, 6, -6, -4, -2, -3, -3],\n [-10, 6, 8, 10, 13, -8, 1, 10, -1, -3, 0, 5],\n [-2, -3, 10, 14, 6, -8, 8, -6, -6, 12, 2, -1],\n [0, 6, 13, 6... | -283436415649 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[6, 7, 12, -12, -16, 1, -11, 6, -7, -10, -9, -4],\n [13, 1, -3, -6, -4, 16, -4, 8, 7, 12, -11, 1],\n [11, -12, 1, -10, -8, -5, 7, -8, -5, -8, 5, 0],\n [16, 7, -2, 12, 15, 16, 12, -2, 10, -13, 1, 4],\n [-9, -11, 3, -15, 5, 4, -11, 15, -... | -59278851823320 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[-4, -3, -3, -12, 5, 11, -13, 12, 3, 3, -15, 1],\n [13, 12, 5, 12, -7, 3, -1, -11, 0, -11, 5, 1],\n [15, 11, -7, 5, 11, -2, 12, -10, 15, -15, 9, -6],\n [8, 2, 3, 16, 0, 13, 1, 15, -13, 15, 2, -14],\n [11, -11, 0, -12, 2, 5, 7, -7, -15, ... | -100344163429 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[13, -9, 13, -8, 16, 12, 14, -14, -6, -12, 14, 3],\n [-13, -9, -4, -12, 2, 1, 16, -13, 1, 7, 12, 14],\n [11, -8, 9, -15, -11, 12, 9, 11, -10, -7, 5, 10],\n [5, 2, -8, 2, -15, 11, 5, -11, -10, -11, 16, -3],\n [-16, 8, -11, 11, 1, 10, -15, 4, 6, -15, -1, -13],\n ... | -13088712917 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (8, 5) of the result:\nA =\n[[-2, 13, 3, 2, 10, -8, -10, 0, 4, 4, -8, -12],\n [13, -6, 2, 13, 6, 4, -5, -2, -14, 10, 0, 4],\n [3, 2, 9, -14, 4, -2, 12, 2, 10, 0, -9, 4],\n [2, 13, -14, -4, -2, -9, -4, 11, 1, -2, 3, -4],\n [10, 6, 4, -2,... | -15958490997964 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[3, 11, -10, -13, 11, 16, -10, -8, -4, 12, -7, 13],\n [9, 11, 12, -11, -14, 12, -15, 5, 10, 5, -7, 2],\n [7, 10, 0, -7, 0, -7, -7, 0, 9, 9, -13, 10],\n [4, 14, -10, 1, 7, -4, -4, 8, -12, 12, 16, 7],\n [-7, 8, -7, -1, 11, -5, 15, 12, 10, 9, -14, 9],\n [-16, 10, ... | 97064268810 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^9 where A is:\n[[11, 11, 2, -1, 0, 5, 2, 12, 2, 8, 3, 2],\n [-4, -5, -2, -13, -2, 0, 10, -6, 6, -2, 14, 9],\n [-10, -4, -4, 3, -7, 10, -1, 4, -1, 0, -2, -4],\n [16, -12, 10, -16, 13, 6, -2, 2, 13, -1, 1, 9],\n [0, -6, 12, -8, 0, 10, 5, -9, -14, 15, -9... | 99331499759052 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-14, 15, -13, -15, -8, -16, -6, 12, 9, 10, 12, 16],\n [11, 14, 2, 9, 12, -6, 15, 4, 5, 10, -9, 14],\n [-16, 7, 11, -13, 1, 12, 6, 10, -1, 10, -8, -12],\n [-9, 1, -11, 6, 9, 7, -7, -2, 3, 12, -11, -8],\n [-12, 2, -12, 3, -6, 10, 12, -10... | 7948597111791 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-11, 6, -7, -5, 15, 9, -10, 15, 16, 1, 3, 14],\n [-12, 15, 2, -16, -10, 5, -7, 9, 15, 10, -5, 6],\n [-3, 0, -11, 10, -9, 16, 0, 9, -10, 7, 8, 9],\n [-12, 13, 8, 7, 13, 3, -14, 15, -9, 6, -1, 8],\n [-2, -9, 8, 2, ... | 8535832606082 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-4, 11, 0, -8, 4, 13, -6, 13, 8, -10, 3, -7],\n [-16, -3, -12, 7, -13, 10, -12, -4, 4, 15, 14, 15],\n [-2, 13, -10, 14, 9, 9, -15, -8, -12, 10, -5, 12],\n [-1, 2, 10, 1, -4, 13, 9, -11, -14, 6, -5, -2],\n [-16, -9, ... | 1248239266966 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-3, 6, 2, 8, -2, -4, -1, -3, 3, -6, -9, 8],\n [6, -2, 4, -4, -12, 9, -6, -14, -16, -4, -10, 3],\n [2, 4, -11, 0, -7, 0, 2, -10, -6, -2, 8, 0],\n [8, -4, 0, 16, -2, 2, 1, 2, -4, 8, -4, -4],\n [-2, -12, -7, -2, 2, -2,... | 882223988228 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[15, -2, -6, -9, 1, 9, 0, -8, 6, 3, 4, 10],\n [-2, 12, 2, -4, 0, -10, 4, -2, 10, -7, -8, 2],\n [-6, 2, -2, 12, -14, -2, -6, 8, 10, 3, -3, 14],\n [-9, -4, 12, 1, 0, 2, -9, -3, 0, 0, 12, -8],\n [1, 0, -14, 0, 3, -4, 10, -1, -10, 11, 0, 4],\n [9, -10, -2, 2, -4, 5... | 3350272945852 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[8, 2, -13, 15, 8, 5, 11, 1, -10, -6, -6, -8],\n [6, 16, -16, 3, -12, 12, 9, -14, 4, -4, 14, 0],\n [6, -14, -15, -14, 3, -8, -13, 8, -16, -5, 7, -8],\n [3, -12, 3, 4, -15, 4, 7, -8, 13, 1, -7, 4],\n [5, 0, -12, -11, -7, -15, -10, -13, 2, 11, 3, 13],\n [-15, -14... | 13916906897506 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[15, -6, 1, -12, -12, -4, -3, -2, 4, -14, -10, 0],\n [-6, 11, -12, -1, 4, 4, 2, 0, 1, 2, 11, -3],\n [1, -12, -16, 2, 2, -6, 8, 6, 7, 0, 2, -3],\n [-12, -1, 2, -16, 0, -6, 6, -8, -1, 8, 5, 0],\n ... | 3409797494309203 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (10, 10) of the result:\nA =\n[[7, 9, 9, 0, 10, 12, -8, -3, -12, 13, 11, -9],\n [-2, 11, 16, -11, -5, -10, 11, -10, -16, 7, 2, 15],\n [13, -16, 15, 3, 4, 2, 13, 11, 15, 13, 6, 10],\n [9, -14, 14, -15, -7, 2, 14, 12, 8, 15, 0, 6],\n [1, ... | 15600261266 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[11, -10, -2, -4, 4, 15, 6, -3, -7, 2, -4, -14],\n [-10, -4, 2, 2, 0, 8, 12, -8, -7, 2, 2, -1],\n [-2, 2, -2, -10, -6, 0, 14, 11, -4, 8, 6, -2],\n [-4, 2, -10, -4, -4, -4, -2, 4, 8, 12, 0, -3],\n [4, 0, -6, -4, -9, 4, 4, -2, 8, -1, 8, -... | 42464539097246 | MATH |
[
{
"content": "Find the value at position (8, 5) of the 9th power of the matrix:\n[[-3, -14, 6, -3, -5, -6, -11, 3, -2, 12, 4, -13],\n [-14, -10, 8, -6, 2, -4, 16, -4, 4, 2, 3, 4],\n [6, 8, -10, 4, -2, 3, -4, 0, -6, 10, 0, -12],\n [-3, -6, 4, 14, 3, -4, 2, -8, 8, 7, -1, -5],\n [-5, 2, -2, 3, 5, 4, 7, -2, -8, -8,... | -10369173390789 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-16, -4, 2, -6, -6, -1, -8, -12, -10, -9, -8, 3],\n [-4, 16, 0, -4, 0, -6, -12, -3, -8, 4, 12, -1],\n [2, 0, -15, 8, 7, -10, -3, -5, 14, 10, 4, -12],\n [-6, -4, 8, -7, 0, 3, 4, -6, -6, 10, -2, ... | 14103705331937039 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[0, -2, 4, -6, 12, -6, 10, 0, 0, -2, 10, -4],\n [-2, 9, -4, -14, -2, 6, -2, -8, 0, -10, 2, -2],\n [4, -4, 9, 8, -10, -1, 8, -2, 2, -14, -6, 5],\n [-6, -14, 8, 12, -4, -6, -7, 4, -7, -4, 0, 0],\n [12, -2, -10, -4, -2,... | 50506246529243 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-5, -4, -2, 12, -4, 4, -6, -2, 8, 8, -2, -7],\n [-4, -3, 2, -4, 12, -6, 4, 0, 2, -4, 8, -4],\n [-2, 2, -14, 2, 6, 3, -9, -4, 2, 4, -3, -10],\n [12, -4, 2, -11, -2, -4, 10, 2, 4, 8, 2, -13],\n [-4, 12, 6, -2, -15, 4, 10, -6, 0, -11, -3,... | -22325804705200 | MATH |
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