messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Find the value at position (8, 9) of the 9th power of the matrix:\n[[-6, -6, -2, -9, 0, -2, 6, 7, -4, 6, 0, -2],\n [-6, 10, 6, 7, 8, 8, 10, 0, 16, 0, 6, 0],\n [-2, 6, -1, 10, -12, -4, 6, -4, -1, 4, 6, 2],\n [-9, 7, 10, -10, -1, 10, -8, 4, -10, -10, 8, -12],\n [0, 8, -12, -1, -4, -2, -8, -2, -10, -... | -230369466798247 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[8, -8, 0, -3, 7, -14, -1, 1, -3, -7, -7, -11],\n [-14, 5, -15, -5, -16, -4, 15, 8, -12, 1, -7, 2],\n [13, 15, -6, 5, 13, -16, -11, -3, -14, -2, 14, 2],\n [5, -10, 10, -12, 6, -13, -15, -13, -13, -11, 0, -13],\n [5, 4, -5, -10, 11, -4, 16, -4, -13, 8, 3, -8],\n... | -5918613615017 | MATH |
[
{
"content": "Find the value at position (2, 1) of the 7th power of the matrix:\n[[0, 0, -7, 3, 0, 0, -10, 10, 9, -15, -12, 12],\n [0, 0, -5, 4, -13, 1, 15, -13, 8, 3, 2, -10],\n [-7, -5, -1, 2, 4, -7, 1, -6, 4, 0, 5, -2],\n [3, 4, 2, 10, -4, -4, 6, -3, 9, 2, 2, -2],\n [0, -13, 4, -4, 15, 7, -14, 10, -6, 3, -10... | 15005477525 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-15, 5, 11, 15, 8, -16, 6, -12, -6, -2, -12, -13],\n [-7, -8, 16, -11, 10, 11, 12, 15, 5, -2, 10, -7],\n [8, -6, -9, 4, -9, 7, 6, 7, -4, -12, -2, 7],\n [-6, 0, -9, 7, 10, -10, 7, 10, -14, 5, 5, 12],\n [-7, 0, -10, -14, -4, -11, 0, -15, 16, 6, 16, 8],\n [-3, 13... | 1581541528404 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[4, 3, -13, 11, -16, -9, -1, 14, -10, -12, -15, -13],\n [-7, -16, -14, 9, 0, -9, 13, -9, 12, 1, 7, -8],\n [3, -4, 2, -12, 7, -9, -13, -9, -8, 14, 14, -10],\n [8, -4, -12, 1, -10, -2, 16, 14, -8, 2, -11, 15],\n [11, -7, 7, -8, 10, -2, 10, 10, 15, 10, 9, 0],\n [-... | -51193215659076 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[12, -5, 12, 5, 1, 5, 2, -8, -7, 2, -8, 11],\n [13, 8, 1, 9, 2, 10, -13, 9, -14, -10, -7, -13],\n [-10, 5, 13, 5, 12, -6, -1, -11, -4, 16, -9, -6],\n [16, 16, 10, 1, 15, 7, 5, -14, -14, -3, 15, ... | 1526550861082169 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 8) of the result:\nA =\n[[-9, -2, 0, -7, -11, 10, 2, 10, 2, 0, 8, 7],\n [-2, 10, -7, 2, 14, 8, -4, -6, -5, 0, -16, -10],\n [0, -7, -4, -3, 4, -8, -3, 10, 2, 6, 6, -11],\n [-7, 2, -3, -8, 4, 2, -8, -6, -4, 0, 14, 6],\n [-11, 14, 4, 4... | 3088976449 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[9, 1, -4, -8, -2, 4, 2, 4, 0, -3, 2, -8],\n [1, 5, -1, 0, -2, -2, -6, -6, -13, -5, -2, 10],\n [-4, -1, 7, -8, -10, 6, -6, -6, 8, 0, -14, 11],\n [-8, 0, -8, 6, -3, -8, -4, -6, 1, 7, -3, 1],\n [-... | 7767789830010151 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[2, -3, -9, 4, 0, 2, -4, 0, -1, -3, -8, 2],\n [-3, 12, 8, 2, 8, -10, -9, 13, -8, 4, -4, 1],\n [-9, 8, 0, 2, -12, -6, -13, -2, 4, -9, -10, 8],\n [4, 2, 2, 6, -6, -3, -4, 12, 1, 2, -4, -4],\n [0, 8, -12, -6, 14, -14, -8, 6, 0, 0, 6, -10],... | 29282528055879 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-4, -4, 16, 10, 2, 5, 0, -15, -5, 16, 11, 9],\n [8, 11, 14, 14, 10, -16, 16, -16, -8, 16, -2, -2],\n [12, 4, 1, -1, 12, 10, -2, -8, 11, -15, 4, -6],\n [15, 5, -1, 14, -7, 4, -9, 16, 5, 13, 6, -2],\n [9, -1, -7, 11, ... | 1455254613700 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[13, -15, 1, -10, 6, 3, -2, 11, -14, -14, -5, -9],\n [-8, 7, 7, -6, -11, 8, -16, -8, -5, -4, 12, 15],\n [14, 9, 7, -2, -11, 12, 14, -1, -7, -13, 12, -9],\n [-6, -16, 6, 13, -2, 12, 7, -8, -6, -2, 9, 7],\n [5, 1, -... | -22501086383281 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-16, -4, -12, -6, 7, -10, 5, -2, 0, 6, 4, 7],\n [-4, -2, 0, -8, -8, -12, -2, 7, 0, 16, 4, -13],\n [-12, 0, 0, 8, -16, 9, 0, -2, 4, 2, 8, -4],\n [-6, -8, 8, -12, 0, -6, -6, 11, 12, -6, 14, -8],\n [7, -8, -16, 0, 5, 1, 2, 1, 2, 1, -12, 10],\n [-10, -12, 9, -6, 1... | 3409720806109 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-11, -13, -1, -6, 7, -3, -9, 13, 14, -11, 7, -16],\n [4, -11, -2, 15, 1, 15, -5, -6, -15, 5, 4, -11],\n [-11, -5, -13, -10, -5, 13, -8, -10, 5, 10, 7, -3],\n [-4, -6, 15, -12, 0, -15, 15, 6, -12, -9, 10, -15],\n [-10, 5, -10, -8, 7, 1, 9, -2, 5, 8, 8, 8],\n [8... | 5126703861 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-1, 11, 10, -8, -5, -6, 12, 0, 12, 3, -2, -4],\n [11, 3, 3, -2, 10, 7, -2, -9, -12, 2, 2, 0],\n [10, 3, 10, 13, 0, 4, 16, 8, -4, 12, 6, 5],\n [-8, -2, 13, 5, 5, -4, 0, 7, -6, 1, 2, -2],\n [-5, 10, 0, 5, -11, 10, -3, -12, 12, 3, 4, 8],\n [-6, 7, 4, -4, 10, -16,... | 80331609437805 | MATH |
[
{
"content": "Find the value at position (11, 9) of the 7th power of the matrix:\n[[-2, 2, -8, -2, -1, 3, 3, -11, 10, -8, 11, 12],\n [2, -9, -4, 4, -12, -4, 9, 2, 11, 12, -7, 0],\n [-8, -4, 6, 11, 0, 7, -10, 12, -8, -2, 10, 2],\n [-2, 4, 11, -3, 5, -12, 8, 0, 6, 4, 10, -9],\n [-1, -12, 0, 5, 13, 0, 8, 10, 4, 7,... | 64368778141 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[6, 2, 8, 2, -10, 0, 4, -6, -4, -2, 3, 8],\n [2, 6, 2, 2, -3, 1, -9, -10, -6, 4, 6, 1],\n [8, 2, 7, 1, 1, -5, 0, -8, -6, 14, 1, 14],\n [2, 2, 1, 8, 3, -1, -2, 0, -9, -10, 9, -10],\n [-10, -3, 1, 3, -7, 2, -3, 4, -3, -2, 4, -14],\n [0, 1, -5, -1, 2, 4, 4, 0, -8,... | 154753548978 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[10, -4, -6, -8, -9, -7, -15, 7, -6, -16, -12, 10],\n [-10, -16, 15, 0, 1, -13, -4, -12, 5, 9, -13, 6],\n [-12, -8, -4, -8, -13, 9, -3, -15, 14, 9, -15, -15],\n [11, 6, -10, 5, -16, -13, 14, 16, -12, -6, 15, -16],... | 33431533651546 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-8, 0, -1, -15, -1, 11, -4, -11, 8, 9, -2, -15],\n [5, 11, 0, 6, -2, 13, -16, -1, 8, 6, 16, -8],\n [-1, -12, -5, -12, 6, -9, -1, 3, 11, 13, -6, 0],\n [-7, 7, 14, -6, -9, 14, 16, -8, -14, -4, 11, 7],\n [-7, -2, 11, -16, -4, -13, 13, -14, 3, 10, -5, -1],\n [15, ... | 19658782249532 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[14, -2, -12, 10, -8, -1, -4, 8, -1, 10, 6, -5],\n [-2, -1, 10, -6, -14, -2, 6, -6, -3, 10, -4, 0],\n [-12, 10, -15, -3, 10, 11, -2, -9, 2, 11, -2, 4],\n [10, -6, -3, -15, -4, -2, 12, -6, 12, -4, 4, 6],\n [-8, -14, 10, -4, -2, 2, -6, -9, 12, 6, 4, -8],\n [-1, -... | 2974759441 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 7th power of the matrix:\n[[-8, 6, 0, -2, 0, 11, 8, -8, 4, -3, 7, 9],\n [6, 10, -1, 2, -1, -10, 1, 12, -6, 0, 2, -6],\n [0, -1, 2, 6, 6, -7, 2, -10, 0, 2, -10, 0],\n [-2, 2, 6, -7, 2, 6, -1, -2, 0, -10, -6, 2],\n [0, -1, 6, 2, -10, -8, 12, 5, 6... | 3083209980167 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (7, 10) of the result:\nA =\n[[3, 9, 0, 14, 1, -14, 1, 3, 4, 13, -13, -2],\n [-10, 15, 16, -4, 0, -11, -13, -2, -9, 13, 6, -8],\n [7, -9, -11, 8, -4, 8, 1, -8, 16, -11, -3, -11],\n [1, 9, -6, 1, -2, 13, 8, -1, -5, -3, -4, 13],\n [-1, -1... | -6602374830 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-9, 10, 9, 16, -14, -8, -7, 12, 4, 1, 0, 4],\n [-14, 10, 15, 12, 12, 9, -8, 10, -5, -1, -15, 10],\n [-8, -15, -10, -9, -11, 2, -2, 11, 13, 10, -7, 14],\n [-16, 15, -1, -11, -15, -15, -14, 2, -13, 1, 1, 4],\n [4, ... | -633808835577 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (11, 12) of the result:\nA =\n[[3, -2, -11, -4, -1, -15, -16, -12, 13, 14, 15, -14],\n [-14, -12, 5, 15, 6, -9, -13, -11, 10, 2, 12, -11],\n [-14, 15, -1, 16, -15, 9, 11, -6, 7, -1, 8, 6],\n [8, 16, 5, -7, -16, 5, 15, 6, 13, 6, -5, 2],\... | 201815532693 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-13, 3, 9, 13, -11, -4, 0, 10, 16, 1, 3, 16],\n [14, 2, 16, 0, 16, -12, 10, -10, -3, -13, 1, -1],\n [10, 3, 2, -16, 6, -8, 11, 3, -1, -4, 16, -14],\n [-2, -1, 13, 8, -3, -16, 16, 12, -9, -16, 7, -16],\n [-7, 1, 4, -7, 5, -8, -8, 4, 14, -15, 7, 16],\n [-6, -16,... | -200520405287633 | MATH |
[
{
"content": "Find the value at position (4, 1) of the 7th power of the matrix:\n[[10, 2, 4, 4, 6, 10, -4, -2, -6, -10, 8, 0],\n [2, -9, -2, -4, 2, 10, -4, 6, 3, -1, -2, 1],\n [4, -2, -2, 2, -1, 9, 4, -8, 0, -4, 14, -4],\n [4, -4, 2, -4, -8, -4, -5, 4, -2, 4, -12, -4],\n [6, 2, -1, -8, -16, 11, 0, -12, 8, 10, 4... | -21905858806 | MATH |
[
{
"content": "What is the value at position (10, 6) of the matrix A^7 where A is:\n[[-9, -6, 7, 10, 0, 0, 0, 10, 7, 0, 2, 2],\n [-6, -3, 8, -7, 8, 0, -8, 2, 2, 8, -2, 0],\n [7, 8, 9, 2, -2, 12, -4, 2, -3, 0, 6, -6],\n [10, -7, 2, -16, 8, 4, 2, 2, -8, 4, 4, -5],\n [0, 8, -2, 8, -14, -10, 0, 13, 6, -4, -6, -6],\n... | 20705622800 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-1, -7, 0, 6, -16, 12, 8, -11, -7, -3, 6, 2],\n [14, 2, -16, -4, 0, 15, 16, 11, 12, 7, -1, -4],\n [9, -10, -3, 15, -6, 15, -6, 3, 5, 6, 12, -5],\n [14, 12, 14, -5, 10, -2, 13, -10, 7, 1, 7, 15],\n [-5, 11, -6, -14, -14, 12, 15, 14, -16... | -24862989993187 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[6, -7, 7, -4, -2, 12, -1, 5, 0, -8, -7, -3],\n [-7, -16, -8, -6, 10, -8, -2, -4, 3, 8, 8, -4],\n [7, -8, -8, 0, 14, 12, 12, 8, 7, 9, -6, -4],\n [-4, -6, 0, -1, -3, 4, 0, -2, -3, 2, -5, 6],\n [-... | 78594037514466 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-16, -7, 7, -2, 4, 5, 7, -7, 6, -1, -12, 16],\n [8, 9, -15, 14, 2, 1, -14, -10, 6, -16, -10, 5],\n [-14, 2, 13, -8, -4, 9, 11, 8, -14, -6, 13, 16],\n [-14, -12, 14, -13, -9, 0, 5, 7, 14, 8, 15, 9],\n [10, 6, 3, 10, 0, -3, -14, 10, -3, 11, 8, -6],\n [-5, 16, 3,... | -5177267276314 | MATH |
[
{
"content": "What is the value at position (11, 7) of the matrix A^8 where A is:\n[[-2, -6, 8, -12, 10, -5, -7, -8, -15, -8, -1, -16],\n [4, -16, -3, 15, 7, 16, 13, 9, -3, -5, -14, -10],\n [4, 10, -7, -7, 0, 1, 9, -15, -8, -12, 9, -2],\n [8, 9, 11, 6, 4, 5, 2, -7, 14, 14, -6, 0],\n [16, 5, 9, -15, 15, -14, 6, ... | -678438466384 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[1, -2, 2, -2, 4, 4, 8, 0, -2, -8, 10, 2],\n [-2, 7, 0, 0, 7, -2, -6, 6, -8, 0, 0, -6],\n [2, 0, -6, -13, -1, 7, -12, 6, -2, 8, -6, -5],\n [-2, 0, -13, -16, -8, -8, -1, -12, -9, 10, 0, 2],\n [4, 7, -1, -8, 15, -8, 2, -10, 12, -6, -6, 2... | 6826674526951 | MATH |
[
{
"content": "Find the value at position (8, 4) of the 7th power of the matrix:\n[[3, -4, 5, -6, -5, -2, -6, 2, -10, -8, 0, 10],\n [-4, 13, -5, 10, 1, 9, -5, 11, 12, 7, 9, -4],\n [5, -5, -12, 0, -10, -2, 8, -5, 5, -2, -4, 0],\n [-6, 10, 0, 11, -2, -4, -5, 6, 3, -4, -3, 2],\n [-5, 1, -10, -2, 3, -12, -10, -7, 13... | 3012749071 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-16, -1, 4, 8, 8, -4, 2, -14, 4, 8, 2, 0],\n [-1, -5, 4, 2, -4, -6, 9, -6, 6, 1, 6, -4],\n [4, 4, -14, -1, -6, -11, 0, -12, 10, -4, 14, 10],\n [8, 2, -1, -14, 13, -3, -4, -3, -3, 10, -8, -8],\n [8, -4, -6, 13, -6, 16, 7, -1, 2, -12, -6, -4],\n [-4, -6, -11, -3... | -314990856718299 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[-1, -11, 15, 4, 12, -6, -12, 10, 11, 14, -6, -4],\n [-11, 10, 13, 2, -3, -8, 11, 11, 8, 9, -13, -14],\n [4, 0, -5, 8, 4, 1, -11, 3, 3, 15, 14, 3],\n [13, -14, 3, -9, 4, 6, -16, -15, -7, 13, 7, 15],\n [13, -3, -14, 8, -10, 0, 10, 6, 15, -15, -6, -10],\n [-7, 8,... | 426719340044096 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[0, 1, -13, 3, -4, -6, 16, 11, -9, 3, 1, -10],\n [16, -6, 13, 3, -7, 13, 1, 8, 15, 14, 11, 9],\n [-13, 3, -9, -15, 10, 4, -9, 6, -9, -12, -16, 4],\n [-7, -15, 4, -4, 11, 13, 1, -15, 2, 4, 9, 8],\n [2, 8, 3, -11, 1, 1, 3, -7, 16, 2, -15... | 7763860291936 | MATH |
[
{
"content": "What is the value at position (2, 8) of the matrix A^8 where A is:\n[[0, 10, -16, -1, -13, 6, 15, -14, 4, 7, -2, -6],\n [-14, 2, -9, 9, -14, 15, -7, -7, -6, -3, 14, -8],\n [-11, 1, 6, 13, -14, -2, -14, -2, -14, 12, 14, -10],\n [-10, -6, 11, 8, 0, 4, 3, -7, -11, -5, 0, 16],\n [2, -12, 12, 13, -16, ... | 52217228666 | MATH |
[
{
"content": "What is the value at position (4, 1) of the matrix A^9 where A is:\n[[0, -5, 1, 16, 14, 13, 15, -7, 14, -2, 10, 10],\n [-16, -5, -13, 6, 6, 2, 3, 3, 12, -4, 11, 7],\n [5, 5, -6, -9, 15, 7, -5, 4, -14, 1, -11, -2],\n [-2, 7, -10, -8, -6, -1, -10, 8, -3, -16, 3, 11],\n [-8, 3, 14, 4, 5, -4, 8, 5, 3,... | 2130423695727 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (10, 1) of the result:\nA =\n[[-10, 0, 5, -8, -4, 10, 7, -2, 14, -2, 10, 6],\n [0, 12, -10, 15, 12, -7, -4, 1, 1, -3, 2, 2],\n [5, -10, -2, 0, 10, -8, 9, -1, -8, 0, 2, -10],\n [-8, 15, 0, -10, 4, 12, -6, -3, -5, -8, 8, -2],\n [-4, 12, 1... | -102008930990587 | MATH |
[
{
"content": "Find the value at position (11, 9) of the 9th power of the matrix:\n[[7, -8, 11, -6, -3, 9, -9, 11, 3, 8, -7, -6],\n [9, 6, 2, 1, 2, -2, -1, 3, 2, -6, -10, 2],\n [7, 14, -9, 7, -9, -4, -7, 2, 6, 16, 13, 13],\n [12, -8, -9, 8, -9, 9, -6, 6, 15, -16, -8, 11],\n [16, 15, -9, 1, -10, 1, -5, -13, -4, -... | -443200507210 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-13, -2, 3, -6, 2, -8, 0, 12, -6, -16, 1, 6],\n [-2, 7, 0, -6, -2, 12, 7, -3, -2, -3, -10, 6],\n [3, 0, 9, -16, -4, 2, 8, 7, -12, -4, -16, -4],\n [-6, -6, -16, 2, -4, 2, 2, -5, -2, -4, 6, 0],\n [2, -2, -4, -4, 10, 6... | 3605539393847 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[-13, -9, 1, 15, 6, -2, -10, 14, 15, -3, 2, -1],\n [-8, -16, 8, -9, 15, -9, -4, -14, -15, 11, -13, 6],\n [-10, 13, -8, 2, -8, 6, -6, -4, 12, 14, -9, 2],\n [-12, 10, -3, 5, 5, -12, -1, 9, -1, -5, -1, -5],\n [15, -1... | -160175345388 | MATH |
[
{
"content": "Find the value at position (10, 12) of the 7th power of the matrix:\n[[-4, 13, 3, 2, -4, -8, 14, -7, 4, -6, -8, 8],\n [13, 3, 2, 6, 5, -3, -2, 5, -2, -10, -9, 0],\n [3, 2, -14, 2, -4, 0, -1, 2, -11, -6, 5, 3],\n [2, 6, 2, -15, 4, 4, 4, -12, 10, 5, 5, -6],\n [-4, 5, -4, 4, 9, 11, -1, -2, 12, -10, 3... | 19504300849 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[10, 0, 6, 2, 1, 3, 3, -5, -11, 0, 1, 14],\n [0, 16, -2, -1, 1, 0, 12, -8, -8, 8, 10, 2],\n [6, -2, -12, -12, -15, 0, 4, 6, 8, 2, -4, 0],\n [2, -1, -12, -13, 4, -6, 6, 0, 8, 2, -9, 10],\n [1, 1, -15, 4, 16, -1, 1, -14, 1, 5, -3, -16],\n [3, 0, 0, -6, -1, 12, 10... | -11577476956 | MATH |
[
{
"content": "What is the value at position (6, 5) of the matrix A^9 where A is:\n[[-6, -7, 4, -8, 4, 10, -6, -6, 9, 2, -5, -2],\n [-7, -1, -1, -8, 6, -15, 8, -6, 0, 8, 6, 8],\n [4, -1, 4, 8, 9, -11, 5, 0, 6, 11, -10, 10],\n [-8, -8, 8, -2, 4, 0, -2, 2, -12, 7, 8, 5],\n [4, 6, 9, 4, 10, -8, -10, 2, 8, -2, -3, 8... | -52455528720013 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[1, 12, -8, 13, -8, 4, -9, -2, -7, 0, -8, -10],\n [12, -16, 12, -2, -5, 0, 10, -5, 2, -4, 4, -8],\n [-8, 12, -9, 4, 6, 8, -1, -10, 2, 7, -2, 6],\n [13, -2, 4, -12, 8, -1, -2, -1, 1, 4, -11, 4],\n [-8, -5, 6, 8, 9, -10, -4, 9, -2, -4, 7, 3],\n [4, 0, 8, -1, -10,... | 16473289335282937 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[1, -2, 9, -15, 14, 8, 8, 15, 5, -7, -5, 4],\n [-2, -6, -10, 7, 13, -3, -11, -9, -5, -12, -4, 2],\n [5, -5, 15, 0, 9, -1, -5, -1, -12, -9, -10, 10],\n [9, -4, 0, -10, -8, -7, -3, -4, -9, -7, 16, 3],\n [-13, -16, 2, 7... | 2547199066522860 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, -2, 16, -6, 15, -1, -8, -5, 2, -3, -5, 7],\n [-8, 4, -5, -12, -8, 3, -11, -4, -1, 3, -12, 0],\n [-7, 13, -10, -6, -9, 14, -16, 8, 11, 6, 12, 5],\n [-7, 0, -4, -1, -5, -2, 2, 4, 15, -12, -2, 15],\n [-16, -2, 3, 14, 3, 7, -7, -3, 12, -8, -7, -15],\n [6, 1, -... | 59020526556157 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[2, 2, 9, -11, 9, 11, 15, 8, 5, 14, -11, 14],\n [-16, -8, -5, 4, -14, -12, -4, 12, 11, 8, -7, -2],\n [13, -4, -12, -3, -7, 14, -12, -11, -4, -4, 16, 6],\n [4, -9, 14, 14, 3, -15, 7, -6, -13, 9, -3, 3],\n [8, -7, -12, -13, 3, 6, -12, 12,... | -486383754692827 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[5, -10, -13, 12, -7, 4, -13, 7, 4, 1, 9, -9],\n [6, -8, 8, 15, -10, 16, 14, 0, 5, 12, 1, -7],\n [-2, -10, -3, 9, 1, 1, -11, 8, -5, 13, 2, 4],\n [-1, -10, 2, 9, 1, -5, -12, 9, -12, 1, -11, -16],\n [-6, -1, 9, 1, 9, 16, -16, 10, 5, 2, -4, -14],\n [10, -8, 3, 9, ... | -56572066940 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[6, 15, -9, 4, 8, 2, 0, -10, -2, -2, 6, -2],\n [15, -14, 0, -1, 2, -4, -12, -1, 8, -4, 2, -2],\n [-9, 0, -3, 2, 13, -13, 15, 0, 0, -4, -3, 2],\n [4, -1, 2, 2, -4, 3, -2, -4, -8, 14, 0, 0],\n [8, 2, 13, -4, -8, -5, 0, -12, -14, -2, 13, ... | -73639755332 | MATH |
[
{
"content": "What is the value at position (4, 8) of the matrix A^8 where A is:\n[[11, -12, 2, -9, 11, -12, -9, 7, 3, -11, -12, -7],\n [11, -5, -2, -14, 6, -10, -16, -9, 10, 5, 14, -6],\n [4, -2, 11, 6, 10, 2, -1, -5, 6, -10, 13, -1],\n [15, 4, -13, -10, 10, -11, 3, -5, -3, 0, 3, -15],\n [4, -5, -4, -16, 1, -3... | 176253868762 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[-4, -4, -4, 1, -2, 2, -4, -9, -2, 10, -2, 2],\n [-4, -2, 7, -5, -4, -15, 0, 0, -1, -10, -12, 4],\n [-4, 7, 15, -8, 0, -3, -6, -2, -6, -5, 4, -1],\n [1, -5, -8, -4, 6, 2, 2, -2, -4, -14, 12, -2],\n [-2, -4, 0, 6, 9, 12, -9, -11, 0, 8, -6, 4],\n [2, -15, -3, 2, ... | 152133467379 | MATH |
[
{
"content": "Find the value at position (6, 3) of the 7th power of the matrix:\n[[12, 6, -2, -10, 0, 2, 4, -4, -12, -8, -12, 9],\n [6, 12, 2, -8, 6, 4, 11, 0, 0, 6, 0, -10],\n [-2, 2, -16, 0, -4, 4, 4, 2, 3, -3, -2, -2],\n [-10, -8, 0, 0, -8, 8, -2, -4, -4, -12, 8, -1],\n [0, 6, -4, -8, 15, -4, -4, -8, -3, -5,... | 19689119576 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (11, 1) of the result:\nA =\n[[1, 7, -8, 4, -6, -1, -7, 0, -12, -6, 0, 2],\n [7, -4, -12, 6, -14, -2, -8, -2, 2, 0, 2, 0],\n [-8, -12, 4, -2, 1, 0, -9, -13, -2, 8, -2, -10],\n [4, 6, -2, -2, 7, -14, -2, -4, 2, 6, -2, 2],\n [-6, -14, 1, ... | 1763827046 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of all entries of the result:\nA =\n[[4, -4, 15, -7, 15, 3, -1, -12, 0, 9, -13, 9],\n [3, -4, -10, 7, -14, -14, -1, 14, 16, -3, 8, -15],\n [-4, 1, 3, -15, -10, -4, -9, -14, -3, 6, -9, 16],\n [10, -6, 16, -6, 1, 11, 9, 13, -7, -14, 15, -7],\n [4, -10,... | -118176343460720 | MATH |
[
{
"content": "Find the value at position (4, 2) of the 7th power of the matrix:\n[[8, -4, 6, -1, 0, 9, 0, -4, -10, -2, 13, 5],\n [-4, 16, 4, 3, -2, -12, 16, 3, -2, -8, 6, 0],\n [6, 4, -3, 9, 0, -14, 2, 1, -6, 4, 2, 2],\n [-1, 3, 9, -5, -12, 8, 0, -6, 1, 8, 10, 2],\n [0, -2, 0, -12, 5, 0, -5, -10, -2, -2, 0, -14... | 25513169170 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (8, 6) of the result:\nA =\n[[-5, 0, 16, -6, -6, 11, 13, -3, 4, 15, 10, -9],\n [16, 4, 12, -1, -13, 8, -12, 2, -11, 13, 11, -4],\n [-14, -13, -7, -11, -16, -16, -10, -1, 7, -13, -1, -10],\n [8, -2, -8, -6, -10, 6, -14, -10, -14, -5, -14... | -21021280455 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[8, -2, -11, -12, -10, 6, 10, -10, -2, -2, 4, -4],\n [-2, -13, 8, -2, 2, -10, -2, 0, 2, 12, -3, -7],\n [-11, 8, 15, 6, -12, 14, 5, -1, -10, 2, 2, 0],\n [-12, -2, 6, 3, 12, 6, -1, -4, 8, -9, 8, 2... | 3318007986770475 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (7, 1) of the result:\nA =\n[[0, -16, -4, -5, 15, 7, 7, -8, -13, 8, 7, 6],\n [-2, 8, -7, -7, -11, -12, 12, 3, -16, 5, 6, 9],\n [-3, -5, -2, -1, -2, -9, -3, -15, -5, 7, -15, 1],\n [-13, 11, 8, -10, -5, 2, -13, -15, 7, -6, 7, -8],\n [-10,... | -22033076875658 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -11, 2, 6, 2, 4, -10, 4, 2, 4, 0],\n [-4, 13, 6, -9, -6, 10, -1, 4, 0, -4, 4, -6],\n [-11, 6, 16, -4, 7, 4, 0, 2, -6, -2, -1, -4],\n [2, -9, -4, -1, 6, 6, 7, -14, 8, 7, 5, 2],\n [6, -6,... | 1723115004764992 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[7, 6, 7, 8, 4, 0, -6, -8, 0, -12, -6, 5],\n [6, 7, 6, -4, -7, -4, 2, 0, 7, 6, -4, -2],\n [7, 6, -3, 2, -9, 2, -8, 7, -1, 10, 1, 4],\n [8, -4, 2, 13, -2, 10, -4, 2, -3, -2, -2, -6],\n [4, -7, -9, -2, -15, -4, 4, 0... | 87294155758 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-4, 8, -3, -6, 13, -10, -15, -14, 16, 15, 0, 11],\n [4, 2, 16, -6, 16, 6, -10, -9, 13, -10, 5, 10],\n [2, 10, -11, -1, 7, 7, 13, 3, -6, 2, 8, 5],\n [-16, 3, 6, 7, 6, -10, -8, 12, -7, -2, -9, 5],\n [3, 1, 6, 11, -7, 6, -7, -16, 12, -12... | 47437465173 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[11, 14, 0, -4, -4, 6, -4, -2, 0, -5, 11, 2],\n [14, 2, 13, 0, 2, 2, -4, 0, 10, 0, -14, -10],\n [0, 13, -3, 0, -2, -2, 0, 4, 2, 4, -1, 6],\n [-4, 0, 0, 9, 11, 10, 12, 4, -16, -2, -16, -10],\n [-... | 171773839934535 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[-11, 0, -8, 10, 7, 0, 0, -2, -12, -2, -1, 9],\n [0, 15, -14, 10, -12, 0, 6, -3, 10, 2, 9, -4],\n [-8, -14, -8, 14, -5, -2, -9, -3, 10, -3, 0, -6],\n [10, 10, 14, 14, -4, -2, 0, -2, 12, -9, -4, 7],\n [7, -12, -5, -4, ... | 340133622543210 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (2, 11) of the result:\nA =\n[[6, -13, 4, 10, -6, 7, 10, 10, 11, -15, 9, -2],\n [7, 2, -10, 0, -13, 13, -3, 3, 12, 9, 2, -9],\n [3, -16, -1, -16, -9, -9, -15, 11, 14, -1, -6, -3],\n [16, -9, -4, -1, 4, 0, 1, -12, 11, -12, -13, -14],\n [... | -308271885162 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, 0, 7, 5, -2, 4, 10, -1, -3, -13, 7, -4],\n [-12, 16, -9, 2, -7, 2, 14, -3, 8, -9, -13, -12],\n [-11, 13, 2, 1, 4, 0, 14, 4, -6, -1, -8, 6],\n [6, -14, -11, 3, -2, 13, 15, -11, 14, -1, 12, 5],\n [11, -2, 4, -9, -16, 13, -15, 7, -12, -5, -12, -3],\n [-5, 10,... | 33472777396050 | MATH |
[
{
"content": "Find the value at position (1, 12) of the 7th power of the matrix:\n[[-12, -14, 6, 1, -2, -4, 14, 3, -2, 4, -7, 6],\n [-14, -11, 10, 10, -6, 0, 12, 10, 4, -8, -2, -6],\n [6, 10, 8, 7, -7, 11, -12, -2, -4, 13, 2, 0],\n [1, 10, 7, -4, 2, -2, -2, -8, -10, 0, 8, -6],\n [-2, -6, -7, 2, 13, -15, 1, 2, -... | 35388718430 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[9, 12, -11, 2, 8, -7, -7, -1, -2, -2, -16, -11],\n [2, -11, -13, -7, -8, -16, 0, 11, -5, -1, -3, -11],\n [13, 9, 3, -12, -2, 14, 1, -4, -6, -5, 2, 2],\n [-16, -3, 0, -15, 4, 3, 6, 13, -16, -11, -2, 0],\n [9, -15, -6... | 27729287391005 | MATH |
[
{
"content": "Find the sum of all entries of the 9th power of the matrix:\n[[-13, -16, -11, -15, 2, 14, 2, 6, -8, 2, -4, -9],\n [11, 10, -8, -2, 8, -16, -6, -2, 9, 16, 10, -5],\n [3, -5, -11, 3, 6, -2, 11, -9, 3, -11, 9, 1],\n [-3, 3, -16, 6, -1, 2, -9, 7, -1, -4, 13, -4],\n [4, 2, 10, 6, -1, 7, -1, -1, -6, 9, ... | 75623351499880 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (8, 5) of the result:\nA =\n[[15, -6, 9, -16, -5, -8, -9, 14, 3, 2, 15, -12],\n [14, 5, 3, -5, 2, -15, -13, 13, 6, 4, -12, -10],\n [-5, -6, -3, -14, 6, -14, 7, 16, 15, 13, -14, -11],\n [15, -11, -13, -13, -4, -14, -1, 7, 7, 7, -12, 2],\... | -1563790869051 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -12, -2, 9, -6, 16, -6, -8, -6, 16, 16, 10],\n [1, -6, 13, -1, 7, -16, -6, -11, -5, 9, 2, -16],\n [3, -5, 7, 15, 16, -7, 5, -3, -13, 12, -11, 8],\n [-9, -6, -16, -11, 11, 15, -8, -15, 5, 6,... | 3054761322772510 | MATH |
[
{
"content": "Find the sum of all entries of the 8th power of the matrix:\n[[-1, 8, 0, 1, 12, 10, 14, 6, 8, 5, -4, 0],\n [-14, -16, 0, 12, 1, -8, 9, 7, 16, -5, -2, -3],\n [-8, 14, -15, -16, 6, -16, 16, -6, -8, -10, 7, -9],\n [-15, -11, -5, 2, 12, 2, 14, 12, 4, 16, 4, -7],\n [-13, -5, -7, -14, -9, -12, 5, 6, -13... | 4444389512184 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the sum of absolute values of all entries of the result:\nA =\n[[13, -4, -12, -6, -11, 8, 12, 16, -10, 1, -7, 6],\n [-3, 2, 13, -8, -12, 15, 11, -7, -13, 11, 7, 10],\n [-16, 4, -10, -2, -3, 13, -16, -14, 16, -6, 6, 8],\n [-13, 15, 3, -1, 3, 7, -9, -13, 13, -... | 2260690076065627 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[3, -5, -4, 5, 3, 12, -3, 6, 10, 6, 1, 4],\n [-5, -3, 0, 2, -3, 10, -1, -10, 1, -8, 2, 15],\n [-4, 0, -12, -8, 8, -1, -9, -4, 0, -4, -7, -1],\n [5, 2, -8, 10, 9, -8, 3, -2, -6, 4, 0, 0],\n [3, -3, 8, 9, 3, -4, -10, 5, 2, -2, -1, -5],\n [12, 10, -1, -8, -4, 4, -... | -796843381 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the value at position (3, 12) of the result:\nA =\n[[11, 1, 6, 3, 0, -8, 5, -4, -11, 3, 0, -8],\n [1, -15, -2, 2, 10, -2, 4, 3, -1, 4, -4, -6],\n [6, -2, -1, 4, -14, 14, 2, -4, 4, -1, 10, -12],\n [3, 2, 4, 16, -4, 3, -4, -11, -2, 6, -12, -14],\n [0, 10, -14,... | -584061391066 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[9, 8, 6, 4, 12, 4, 6, 12, 4, 10, -9, -4],\n [8, -1, 14, -8, -6, 2, 1, -5, -10, 10, -3, 12],\n [6, 14, 12, 6, 5, 8, -6, 0, -4, 8, -2, 11],\n [4, -8, 6, -6, 2, 11, -1, 2, 7, -2, -8, -4],\n [12, -6, 5, 2, 12, 4, 4, -3, 0, 2, 7, 8],\n [4, 2, 8, 11, 4, 2, 0, 3, -2,... | 1166929247910 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[12, 1, 13, -4, -6, 8, 9, 3, 8, -7, -4, 15],\n [8, 7, 12, 4, -5, -10, -10, 4, 0, -13, 16, -9],\n [1, -1, 14, 0, 12, 0, 9, -7, -2, 14, -9, -15],\n [-2, 7, 11, -11, -14, -1, -15, -7, -14, -6, 8, -15],\n [-8, 2, 13, -16, 6, -16, -6, -1, 12, -10, -13, -7],\n [7, 13... | 1372743059958 | MATH |
[
{
"content": "For the matrix power A^7 where A =\n[[-2, 2, -15, 2, -8, -7, -12, 2, -7, 0, 0, -10],\n [2, 5, -6, 12, 3, -2, 10, -2, -12, -2, -6, 2],\n [-15, -6, 16, -4, 0, -8, -2, -2, 11, 0, 8, 6],\n [2, 12, -4, -9, -12, -13, 2, -2, -8, 8, 1, -2],\n [-8, 3, 0, -12, 11, 2, -2, -2, 8, -2, 2, 4],\n [-7, -2, -8, -13... | -11832996824 | MATH |
[
{
"content": "Find the value at position (7, 7) of the 8th power of the matrix:\n[[16, 13, -8, -6, -13, -15, 10, 1, -6, -15, 14, 8],\n [2, 15, -10, -3, -16, 16, -1, 14, -15, -5, 2, -2],\n [-1, -1, 11, -6, -11, 10, 0, -6, -4, -4, -9, 8],\n [-3, 4, 3, 3, 10, 16, 14, -1, -10, -1, -13, -14],\n [13, 2, 10, 12, 0, -1... | 118847532912 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the value at position (5, 4) of the result:\nA =\n[[15, 6, 2, -6, 2, -4, 4, 14, 4, 3, 6, -5],\n [6, -5, 8, -6, -7, 2, -3, 2, -2, 4, 6, -7],\n [2, 8, -4, 8, 6, 10, 0, 11, 6, 3, 9, -9],\n [-6, -6, 8, 5, 0, 1, -10, -4, -4, -4, -1, -2],\n [2, -7, 6, 0, -2, 0, 10... | -748442601 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[10, 11, 7, -13, 11, 3, 12, 16, 13, -14, 2, 4],\n [4, 3, 16, -8, 14, 15, 6, 6, -1, 4, -5, -11],\n [-3, 5, 14, 11, -12, 9, 10, 12, -1, 9, -9, -6],\n [-14, -15, -16, -16, 3, 14, -1, -14, -11, -5, -7, -15],\n [14, -2, 16, -15, 10, 7, 10, 14, -10, 9, 5, -15],\n [-1... | 10069215107858 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^9 where A is:\n[[-16, -12, 15, -7, 5, 7, 14, 4, -7, 10, 16, -1],\n [-12, 7, 10, -3, -7, -1, 12, -2, 5, -11, 10, 12],\n [11, 2, 16, -7, -6, 13, -3, -1, -10, -13, -1, -8],\n [-8, 15, 9, 2, -13, 14, -4, -7, 3, -11, -9, -2],\n [12, -9, ... | 933587247507714 | MATH |
[
{
"content": "Calculate the matrix power A^7 and find the sum of all entries of the result:\nA =\n[[0, 13, 3, 3, -2, 8, -3, 10, -1, 4, -10, -14],\n [13, -6, 6, -12, -5, 2, 10, -1, -8, -10, -2, -2],\n [3, 6, -7, -1, -1, 12, 6, -12, 8, 3, 4, 1],\n [3, -12, -1, 14, 6, -10, -8, -6, -10, -4, 0, 14],\n [-2, -5, -1, 6... | 95078846221 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^8 where A is:\n[[-14, -4, -11, 8, -3, 0, 8, 2, 6, -2, 0, 12],\n [-4, -15, -9, -6, -13, -8, -6, -10, 12, 2, 12, -2],\n [-11, -9, -9, 2, -1, 6, 0, -2, -10, 6, -10, 2],\n [8, -6, 2, -11, 10, 6, -10, -4, 2, -2, 0, -6],\n [-3, -13, -1, 1... | 246991730360543 | MATH |
[
{
"content": "Find the sum of all entries of the 7th power of the matrix:\n[[15, -5, 8, 8, -9, -11, -13, 9, 14, 4, 7, -7],\n [-10, 9, 11, -15, -3, -10, 0, -2, 5, 15, 9, 6],\n [9, 7, 5, 10, 4, -9, -3, -15, -10, 10, -9, -13],\n [-7, -7, -1, -14, 6, -15, -16, -6, 3, 4, 13, 8],\n [0, 6, 2, 4, -10, -11, -15, -14, -6... | -35397489390 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[6, 4, -6, 10, 11, 0, 10, -10, -6, -6, 0, 6],\n [4, 5, -10, 4, -10, -12, -4, 7, -8, 10, 8, -2],\n [-6, -10, -4, 2, 0, 1, 2, -5, -1, 0, 9, -3],\n [10, 4, 2, 5, -10, 0, 9, -10, 0, -2, -8, 8],\n [11, -10, 0, -10, -10, 4, 12, 3, -1, 2, -1, -6],\n [0, -12, 1, 0, 4, ... | 4062006057086 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[2, 5, 10, -15, 4, 8, 5, -8, 14, -16, -2, 13],\n [-4, -3, 8, 16, 4, 15, -1, -12, 10, 9, 2, 5],\n [-7, -2, 13, -3, 6, -10, 9, 12, -7, 13, 6, -7],\n [9, 1, -16, -14, -7, 12, -12, -12, -2, 9, 9, -13],\n [9, 12, 5, -16, 11, 2, -5, -11, -6,... | 52713609392 | MATH |
[
{
"content": "Calculate the matrix power A^9 and find the value at position (6, 7) of the result:\nA =\n[[0, -1, 13, -15, -13, -4, 0, 6, 12, -8, -2, -15],\n [12, 0, -3, -2, 9, -14, 1, -10, 6, 9, -2, 7],\n [3, 7, -3, 15, 6, 16, -15, -4, 13, -6, -5, 1],\n [3, -4, -11, -7, 16, -13, -13, -5, -12, 8, 8, 16],\n [-2, ... | 50672432269938 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -3, -6, -4, 9, 1, 7, 1, 0, -8, 6, -4],\n [-3, -8, -4, 13, 1, 2, 1, -2, 2, 10, 8, 9],\n [-6, -4, -8, 2, -1, 10, 7, 5, -2, -2, 2, 2],\n [-4, 13, 2, -11, 6, -2, -3, 0, 0, 13, 6, 10],\n [9, 1, ... | 12956152574631 | MATH |
[
{
"content": "For the matrix power A^9 where A =\n[[0, -7, 9, 11, 11, 6, 3, 0, -9, -2, 6, -3],\n [10, -4, 8, 9, -6, -8, 16, -1, 3, -10, 16, -4],\n [-13, 14, 13, -14, 10, 15, -11, -9, 7, -2, 8, 10],\n [-4, 3, -12, -10, -12, 11, 12, -10, 9, 2, -7, 3],\n [14, -11, -2, 7, 13, -8, -16, -2, -11, -2, -10, 10],\n [-7, ... | 1409439894319 | MATH |
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^7 where A is:\n[[-14, 15, -5, 13, 16, -14, 9, -14, -3, -3, 0, -2],\n [-5, 13, -10, 14, -3, 11, -5, -11, -13, 16, -12, -8],\n [1, 15, 14, 10, -4, -13, -8, -9, -11, 16, -11, 0],\n [-4, 5, 2, 11, 8, -9, 15, -6, 1, 10, -2, -4],\n [10, 2... | 884208963012 | MATH |
[
{
"content": "Calculate the matrix power A^8 and find the sum of all entries of the result:\nA =\n[[-4, -2, 4, 1, -6, 3, -8, 4, -7, 2, -8, -2],\n [-2, -6, 5, -8, -1, 6, 6, 6, 4, -6, -4, 2],\n [4, 5, -13, 2, -8, -2, -4, -6, -4, 0, 6, -7],\n [1, -8, 2, -15, -6, 4, -6, 4, 4, 12, 8, 6],\n [-6, -1, -8, -6, 5, -1, 2,... | 7982628173906 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[16, 1, 12, -9, -15, -13, -2, -9, 13, 7, -5, -3],\n [15, -3, 11, 3, -4, 0, 13, 0, 15, 2, -8, 9],\n [-16, 2, -5, 11, 14, -4, -6, -5, 6, 12, -8, -3],\n [15, -14, -10, -11, 10, 11, 6, -7, 0, -2, -3, -6],\n [12, 1, 9, 8, -16, -14, 2, -6, 11, 1, -3, -4],\n [2, 15, 1... | 25503918403594 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^8 where A is:\n[[-14, -3, 6, 0, -5, -6, -12, 6, 9, -1, -5, -2],\n [-3, -2, 12, 2, -6, -10, -5, 2, -4, 0, 7, 1],\n [6, 12, 13, 0, 10, 4, 9, 12, 8, 4, 15, -2],\n [0, 2, 0, -1, 0, -7, 0, -8, 9, -3, -2, 6],\n [-5, -6, 10, 0, -15, -6, 2, 8, 0, -6, 8, -14],... | 23687187703193 | MATH |
[
{
"content": "Find the value at position (11, 8) of the 7th power of the matrix:\n[[11, 3, 14, 4, 0, 2, -6, -3, -15, -4, 2, 2],\n [3, 12, 4, 8, 3, -6, -2, 0, 6, 2, -5, -12],\n [14, 4, 10, -2, -2, 10, -10, 6, 8, -14, 2, 7],\n [4, 8, -2, -6, -5, 8, 6, 6, -2, -10, 5, -1],\n [0, 3, -2, -5, -14, -1, -4, 8, -14, -8, ... | -13946293778 | MATH |
[
{
"content": "What is the sum of all entries of the matrix A^7 where A is:\n[[-13, 6, 11, 6, 12, 0, 2, 6, 14, -11, 4, 5],\n [6, -2, 6, 14, 0, -2, 4, -7, -3, 8, -6, 1],\n [11, 6, 8, 6, -3, 8, -2, -10, 4, -2, -8, 2],\n [6, 14, 6, -1, -11, -16, 3, -5, -2, -14, 5, 7],\n [12, 0, -3, -11, 7, -9, -4, 5, -4, 10, 0, 6],... | 5988434619 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[7, 10, -8, 6, -3, 9, -9, 14, -9, 13, -1, 14],\n [14, -3, 8, -16, 12, 11, 12, -7, -9, 13, 13, -11],\n [-2, 7, -4, -8, 3, -4, 10, 1, -9, -9, 7, 10],\n [3, -9, 7, -5, 16, -3, 4, 16, -16, -11, -3, 11],\n [8, 6, 0, 14, 11, -10, 1, -1, -11, -15, 3, 6],\n [-15, 8, -1... | 34485441689772 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[14, 5, -10, 4, 9, -6, 5, -6, -7, -3, 8, 6],\n [5, -6, 4, -12, -4, 4, 4, 7, 0, -4, -4, 6],\n [-10, 4, -4, 6, -16, -8, 6, 8, 2, 6, -6, 4],\n [4, -12, 6, 12, 6, 2, 6, -2, 6, 1, -4, -8],\n [9, -4, -16, 6, 9, 8, -9, 0, -12, 6, 4, -2],\n [-6, 4, -8, 2, 8, -13, -12, ... | 192366135399235 | MATH |
[
{
"content": "Find the sum of absolute values of all entries of the 8th power of the matrix:\n[[5, 0, -8, -8, -2, -3, -8, -8, 16, 14, -7, -7],\n [-12, 1, 16, 1, -5, 8, 10, -8, -4, 5, -15, -2],\n [6, -4, 3, -4, 10, 0, 14, 9, 5, 15, 5, 11],\n [-16, -13, -1, 6, -3, -14, -16, -1, -9, -16, 4, -15],\n [-5, -3, 5, 3, ... | 54418679175075 | MATH |
[
{
"content": "For the matrix power A^8 where A =\n[[11, -10, -6, 10, -4, -8, 14, -2, 4, 8, -14, 5],\n [-10, 5, 5, 2, -3, 2, 14, -12, 2, -6, -2, 0],\n [-6, 5, -14, 11, 4, -9, 16, -10, 4, -2, -4, 6],\n [10, 2, 11, 0, -2, -9, 8, 10, 6, 5, 6, -2],\n [-4, -3, 4, -2, -10, 2, 8, -4, 2, 4, 5, -4],\n [-8, 2, -9, -9, 2, ... | 96183752923143 | MATH |
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