diff --git "a/data.jsonl" "b/data.jsonl"
new file mode 100644--- /dev/null
+++ "b/data.jsonl"
@@ -0,0 +1,1000 @@
+{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, -1, 3, 0],\n [2, -2, 2, 3],\n [0, -1, 3, 3],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, 1, -3, 0],\n [-4, 1, 4, -4],\n [-2, 2, -1, 4],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 2, -3],\n [-1, 4, -3, 4],\n [0, -3, -1, 2],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -1, -3],\n [1, 1, -1, 1],\n [-3, -3, -1, 3],\n [2, 4, 3, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, 4],\n [2, -4, 4, 0],\n [4, 4, -4, 0],\n [4, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "656", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, 4, 0, 4],\n [0, 0, -4, 1],\n [1, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2996", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1, -3],\n [0, 0, 0, -1],\n [-1, 0, 2, 0],\n [-3, -1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [-1, 2, -2, 1],\n [-3, 4, 0, 1],\n [-1, 2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, -4, 4, 4],\n [-1, 4, -2, 2],\n [1, 3, 4, 0],\n [-4, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, -2, 0],\n [0, -1, -1, -4],\n [-2, -1, 0, -4],\n [0, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 2, 0],\n [-4, -4, -2, -3],\n [0, 1, 2, -1],\n [2, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-661", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -1, -3],\n [1, 1, -4, 4],\n [1, -2, -1, -1],\n [-2, -2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 0, -1],\n [1, 2, 0, 0],\n [0, 0, 4, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -4, -3, -4],\n [0, 0, 2, 4],\n [4, -2, -2, -2],\n [-1, 3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -1, -4],\n [3, -1, 1, 3],\n [-1, -2, 4, -2],\n [4, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8978", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 4, -1],\n [-4, -1, -4, 0],\n [-1, 3, 3, 2],\n [-2, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "713", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 1],\n [1, -2, 1, 3],\n [-3, 0, -4, -4],\n [0, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1740", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, 1],\n [-2, 4, 0, 3],\n [-4, 0, -2, -4],\n [-1, 0, 2, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 2, -2],\n [-2, 3, 2, 0],\n [2, 2, -3, -4],\n [-2, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 2, -2],\n [-3, 4, 3, 2],\n [4, -1, -1, -4],\n [3, -2, 2, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, -3],\n [3, 1, 1, 0],\n [0, 1, 1, 0],\n [-3, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 1, -1],\n [-2, 2, 3, -1],\n [-3, -2, -4, 3],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 0, -4],\n [-4, -3, 1, 4],\n [3, 0, -4, 2],\n [0, 1, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-2, 0, 0, 2],\n [0, -4, 0, 1],\n [0, 0, -1, -2],\n [2, 1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 1, -2],\n [-4, 3, 1, 1],\n [1, 1, -3, -4],\n [-2, 1, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1274", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -2, 0],\n [-2, -4, -4, 3],\n [-3, -2, -3, -2],\n [2, -4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21468", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 4, 2, -1],\n [0, -3, 3, -1],\n [4, 0, 4, -1],\n [0, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 0, 0],\n [-3, 2, 0, 0],\n [0, 0, 2, 3],\n [0, 0, 3, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, 4, 1],\n [-2, -4, -1, 4],\n [-2, 4, 2, -1],\n [-2, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "771", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, -1],\n [0, 2, 4, 2],\n [0, 2, 0, -2],\n [2, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 3, 4],\n [-3, -3, 0, 0],\n [1, -2, 3, -4],\n [1, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, -1, 1],\n [-2, 1, 2, -2],\n [2, -2, -3, -1],\n [3, 4, 2, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-2, 4, -4, 4],\n [3, -4, 1, 0],\n [1, 0, 1, 0],\n [0, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 4],\n [0, -4, -1, 1],\n [-1, -1, 2, 4],\n [4, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3857", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 3, -3],\n [0, 4, -1, 1],\n [-4, 4, -4, 0],\n [-1, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 4, -3],\n [3, -3, 0, 2],\n [3, -4, 1, -4],\n [-3, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -4, -4, -3],\n [4, -2, -4, 0],\n [2, 1, -4, 0],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2, -2],\n [-1, -4, -1, 4],\n [-2, -1, -1, -4],\n [-2, 4, -4, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 1, 1],\n [-2, -3, -4, 1],\n [0, 4, -4, 2],\n [0, 0, -3, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3, -2],\n [-1, -3, -2, 0],\n [-3, -2, 4, 2],\n [-2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -2, 0],\n [0, -2, 1, 2],\n [0, 0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4617", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -2],\n [2, -1, 0, 2],\n [0, 0, -3, -1],\n [-2, 2, -1, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, 0],\n [0, 4, 0, -4],\n [2, 0, 4, 0],\n [0, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, -2, -1],\n [3, 1, 2, 3],\n [-3, 3, -2, 2],\n [-2, 2, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 4, 2],\n [0, 2, 4, -4],\n [2, 1, 4, -4],\n [-1, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3046", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, -3, -1, 1],\n [-3, 3, 3, -4],\n [-2, 4, 0, 1],\n [-1, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1498", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -4, 0],\n [1, 0, 1, 1],\n [2, -1, 3, 2],\n [4, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 2],\n [0, -3, 0, -2],\n [0, 0, -4, 4],\n [2, -2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, 1],\n [1, -1, -2, -1],\n [-4, -1, -4, -4],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -3, 4],\n [0, 2, -2, 0],\n [-3, -2, -4, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18543", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 1, -4],\n [1, -3, -2, 3],\n [1, -2, -2, 0],\n [-4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "463", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 1, 2],\n [0, 0, 1, 0],\n [1, 1, -3, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, -3],\n [0, -4, -2, 2],\n [0, -2, 3, 0],\n [-3, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -2, 2, -2],\n [3, -1, -4, -1],\n [2, -1, 1, 4],\n [-4, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -3, 0],\n [-4, 1, 1, -1],\n [3, -1, 3, 3],\n [0, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-2, -1, -1, 0],\n [-1, 3, 1, 1],\n [3, 2, 3, -3],\n [4, -4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 2, 0, 1],\n [2, -4, 4, -2],\n [0, 4, 4, 0],\n [1, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, -2, 2, 4],\n [-2, 1, 1, -2],\n [2, 1, 4, 2],\n [4, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -1, 4],\n [1, -3, 2, -3],\n [-3, -4, -2, 1],\n [3, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1218", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[1, 0, 3, -4],\n [-4, 1, -3, 0],\n [-4, 2, -4, -1],\n [4, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, -4, 2],\n [-4, 2, -2, 3],\n [-2, -4, 3, -2],\n [-3, -4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "893", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 1, -4, -3],\n [1, -2, -1, -4],\n [3, 2, 2, -2],\n [-2, -3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 2, 3],\n [-4, 4, 2, -2],\n [3, 2, 3, 1],\n [4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, -3, -2],\n [3, 3, -1, -1],\n [0, 1, 0, 2],\n [-3, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -2, -2],\n [-1, -3, -3, -4],\n [0, -1, -3, -2],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 4, -4],\n [0, -2, -2, -1],\n [4, -2, 3, 0],\n [-4, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5523", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 2],\n [2, 4, -1, -1],\n [-2, -1, 2, 0],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2385", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -2, -2],\n [0, 4, 1, 2],\n [-2, 1, 0, 0],\n [-2, 2, 0, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, 2],\n [0, 1, -2, -2],\n [-2, -2, -2, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, -3],\n [2, 3, 1, 1],\n [0, 3, -4, -1],\n [-1, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "442", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 0],\n [-2, 4, 0, 2],\n [0, 0, 4, 0],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -3, 2],\n [-2, -2, 2, -3],\n [-3, 2, 2, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 1],\n [1, 3, 4, -3],\n [4, 4, 2, -4],\n [2, 0, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1330", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 4, -2],\n [3, -3, 2, -3],\n [-1, 2, -2, -3],\n [2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 0],\n [0, 2, 0, 0],\n [-2, 0, 1, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 1, 0],\n [-2, 2, 2, -1],\n [1, 2, 3, 2],\n [0, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -2, 3],\n [-3, -1, -3, 0],\n [4, -4, 0, 4],\n [-4, 4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 2],\n [3, 3, -3, 4],\n [2, -1, -1, 3],\n [-1, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, 3, 1, -1],\n [2, 1, 2, -2],\n [0, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, -3, -4],\n [3, -2, -2, 1],\n [3, 4, 4, -1],\n [0, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4556", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -2, 4],\n [-3, 4, 3, 4],\n [0, -3, 3, 1],\n [3, 0, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2947", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0, -1],\n [2, -2, -2, 3],\n [0, -2, 3, -3],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 4, 0],\n [-1, 1, 2, 0],\n [4, -2, 2, 0],\n [2, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[2, -4, -3, 4],\n [-4, 3, -1, 0],\n [-3, -1, -2, 1],\n [4, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-544", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, -3],\n [-1, -4, -2, -4],\n [0, -2, 1, 1],\n [-3, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 2],\n [0, 2, -4, 0],\n [-2, -4, -2, 2],\n [2, 0, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 1, -2, -4],\n [3, 0, 0, -1],\n [1, -2, 4, 0],\n [-2, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, 2],\n [-4, 3, 4, -3],\n [2, 4, -3, 0],\n [2, -3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19213", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2, 1],\n [-2, -1, 2, 2],\n [2, 2, 1, -1],\n [1, 2, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, -4, 0, 0],\n [-4, -3, 1, 1],\n [0, 1, 4, 3],\n [0, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, 2],\n [2, -4, 0, -4],\n [-2, 0, -4, -2],\n [2, -4, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3913", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 2, 2],\n [-3, -3, 0, 0],\n [2, 0, 1, 3],\n [2, 0, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10818", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 3, 3, -3],\n [-1, 2, -1, -1],\n [1, 1, -2, 4],\n [-3, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, -2],\n [0, 2, -2, 2],\n [0, -2, 1, -2],\n [-2, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, -2],\n [1, -4, 2, -4],\n [0, 3, -1, 0],\n [-1, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 4, -1],\n [0, -3, -1, -3],\n [-3, -1, 1, 2],\n [-2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "820", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, -2],\n [0, 3, 0, 3],\n [-2, 0, 0, 0],\n [-2, 3, 0, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "720", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 2, -2],\n [3, 1, -4, 0],\n [2, -4, -2, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 1],\n [4, -4, 0, -1],\n [3, -4, 4, 1],\n [-1, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -4, 0],\n [0, 1, 2, 0],\n [-4, 2, 0, -2],\n [0, 0, -2, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -4],\n [-4, -2, -1, 0],\n [-3, 3, -3, 4],\n [-3, 4, 2, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-3, 2, 2, 0],\n [2, -1, -3, 2],\n [2, -3, 0, -2],\n [0, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -3, -4, 2],\n [2, -3, -3, -4],\n [3, 3, -4, 3],\n [4, -1, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-657", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, -2, -2, 2],\n [-2, -3, 2, 4],\n [-2, 2, 4, 2],\n [2, 4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, 0, 2, 0],\n [0, -3, -2, 3],\n [2, -2, -4, 4],\n [0, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, 2, 0, -2],\n [4, -4, -4, -4],\n [-2, 1, -2, 3],\n [-3, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, 0, 0, 1],\n [0, 0, 1, 0],\n [0, 1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -2, 1],\n [0, 1, -1, -2],\n [-2, -1, -1, -2],\n [1, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 0, 4, 2],\n [0, 2, 1, -1],\n [4, 1, -1, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 2, -2],\n [1, 1, 4, 2],\n [2, 4, 3, 1],\n [-2, 2, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9440", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -1, 2],\n [4, -3, -2, -1],\n [-4, 2, -3, 0],\n [-4, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 2],\n [0, -2, 3, 2],\n [0, 3, -3, -2],\n [2, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 2, 2, -2],\n [2, 3, 0, -2],\n [2, 0, -1, 1],\n [-2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -4, 1],\n [4, 2, -1, -4],\n [-3, 0, 0, 3],\n [1, 3, -3, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1856", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 1, 1],\n [-3, 2, -3, 1],\n [-4, -2, -3, 2],\n [-1, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "926", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 0, 2],\n [3, -4, 2, 0],\n [0, 2, -2, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5755", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 4, 0],\n [-2, 1, 2, -2],\n [4, 2, -4, -2],\n [0, -2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7035", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 0, 0],\n [3, 0, -4, 2],\n [0, -4, -2, -2],\n [0, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8166", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, -1, -1, 0],\n [-1, -1, -3, 2],\n [-1, -3, 3, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -3, -3],\n [-2, -3, -1, -3],\n [4, -3, 4, 1],\n [-4, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-677", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, -2, -2, 4],\n [1, 4, 0, -3],\n [3, 0, -3, -1],\n [4, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, -2, 3, 1],\n [-2, 0, -2, 0],\n [3, -2, -3, 0],\n [1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 1, 3, 0],\n [1, -4, 1, -1],\n [3, 1, -4, 0],\n [0, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -3, 0],\n [-1, -2, 2, 1],\n [2, 0, 1, 0],\n [2, -3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 0, 2],\n [1, 0, -2, 0],\n [0, -2, 0, -4],\n [2, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 0, -1, 2],\n [0, -1, -3, -1],\n [-3, 3, -2, 4],\n [-1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 0],\n [0, -4, 0, 0],\n [0, 0, 0, 2],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 2, 3],\n [-2, 0, -4, 2],\n [0, 3, 3, 4],\n [2, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6134", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -2, -1],\n [1, 0, 0, 0],\n [-2, 0, 2, -1],\n [-1, 0, -1, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, -4, 3],\n [3, 4, 4, -3],\n [-3, -2, -4, -1],\n [-1, 4, 4, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-642", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -3, -2, 2],\n [-2, -2, 3, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [-2, 0, -1, -4],\n [2, -1, -2, 3],\n [0, -4, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3309", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 4, 2],\n [1, 2, 1, 0],\n [4, 1, -3, -3],\n [2, 0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2697", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [0, 3, 0, 2],\n [0, 0, 2, 4],\n [0, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "635", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [0, -2, 0, 2],\n [-2, 0, -3, 2],\n [2, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3046", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -2, 3, -2],\n [-2, 4, 0, -2],\n [3, 0, 3, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 0, 2],\n [1, 0, 0, 1],\n [0, 0, 1, -2],\n [2, 1, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 0, 0],\n [0, 2, 1, -2],\n [0, 1, -3, -4],\n [0, -2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-590", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, 3, 1, 0],\n [-1, -2, -1, 2],\n [-4, 2, -4, -3],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, -2],\n [-2, 1, 3, 0],\n [0, 3, -1, -1],\n [-2, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2435", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, -2],\n [-2, -2, -2, 0],\n [0, -2, 0, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3360", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, 0],\n [0, 4, 0, 2],\n [1, 0, 4, -1],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 2, 2, -2],\n [2, 3, 2, 0],\n [2, 2, -1, 4],\n [-2, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -1, 0, 3],\n [-1, -3, 2, 0],\n [0, 2, 0, 2],\n [3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 3, -2],\n [0, -4, -1, -2],\n [3, -1, 4, 2],\n [-2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "821", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, -1, 2, -1],\n [-1, -4, 2, -3],\n [2, 2, 1, -2],\n [-1, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, -4, 0, 0],\n [-3, 1, 4, -3],\n [-3, -2, 2, 1],\n [3, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, 0],\n [-1, -1, -1, 1],\n [3, 3, 0, 1],\n [-1, 4, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3718", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 2, 1],\n [4, -4, 0, -2],\n [2, 0, -1, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, 0],\n [4, -1, 1, 0],\n [3, 1, 4, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5750", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, 1, 0, -2],\n [0, 0, 0, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 2, -4, 2],\n [0, 0, -3, -1],\n [1, 2, 0, 4],\n [-2, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, -2],\n [4, -1, 1, -3],\n [1, -2, 4, -3],\n [4, 0, 3, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, -3, -2, 4],\n [-3, 0, 1, 0],\n [-2, 1, -2, -1],\n [4, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, -2, -4, -1],\n [-3, -3, -2, 3],\n [3, 2, 1, 4],\n [-1, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -1, 4],\n [1, 0, -2, 4],\n [0, 0, -1, -1],\n [-4, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -4, 1],\n [2, -3, 3, 1],\n [-1, 0, 3, -2],\n [-2, -1, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, 0, 2],\n [2, 4, -2, 1],\n [0, -2, 4, 0],\n [2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5607", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, 0, 4, 2],\n [0, -1, 0, -2],\n [4, 0, 3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 1, 0],\n [-2, 4, 2, 2],\n [1, 2, -4, -1],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "956", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -4],\n [0, 4, 4, -1],\n [-2, -4, -3, 3],\n [-4, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -2, -1],\n [1, 3, 0, -2],\n [1, -1, 4, -2],\n [-1, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -1],\n [0, -3, 2, 2],\n [-2, 2, 2, 2],\n [-1, 2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 3, -3],\n [-2, 4, -3, 0],\n [3, -3, -1, 0],\n [-3, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13621", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[3, 0, 0, -1],\n [0, 0, 0, 2],\n [0, 0, 3, -2],\n [-1, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 2, 1],\n [1, 2, -2, -4],\n [2, -2, 3, 2],\n [1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 2, 2],\n [-4, -1, -3, -3],\n [-3, -1, -4, -1],\n [-3, 0, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -4, 0],\n [0, 2, -2, 4],\n [-4, -2, -3, 1],\n [0, 4, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6406", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -1, -2],\n [-2, 1, -3, 2],\n [-1, -3, 4, -1],\n [-2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "934", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 4],\n [4, 1, 0, 0],\n [0, 0, -2, 2],\n [4, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18806", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 4, 2],\n [3, 4, 1, -1],\n [-4, 3, 2, -3],\n [3, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3213", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, 1, -4, 0],\n [1, -2, -4, -2],\n [-4, -4, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, -2, -4],\n [-4, 0, 1, 2],\n [-2, 1, 1, -1],\n [-4, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11228", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, 0, -3, 0],\n [0, -1, -2, 2],\n [-3, -2, -4, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -3, 1, 0],\n [2, -2, -2, -3],\n [-2, -4, 0, 0],\n [2, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -3, -1],\n [-2, -4, -2, -3],\n [3, 1, 4, 3],\n [-2, 0, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -4, 0],\n [0, 1, 0, 1],\n [-4, 0, 1, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -1, 4, 1],\n [-4, -2, -2, -1],\n [1, 2, -1, 1],\n [-4, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -4, -2],\n [0, -3, -2, -1],\n [2, -2, 4, 3],\n [-1, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 1],\n [-2, 0, 2, -3],\n [1, 1, -2, 1],\n [0, -3, 4, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 4, -3],\n [0, -3, 2, -2],\n [4, 2, 2, 1],\n [-3, -2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4065", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 3, 3],\n [0, 4, -4, -1],\n [-2, -3, 3, 2],\n [4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, -2, -3],\n [-2, 1, -3, 3],\n [-4, 2, -3, 1],\n [-3, -3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4217", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 3],\n [0, 2, 2, 1],\n [2, 2, -4, -2],\n [3, 1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1156", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 2],\n [0, -4, 2, 0],\n [2, 2, 1, -2],\n [2, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "524", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 2, -1, 2],\n [2, 3, -3, -1],\n [-1, -3, 3, 0],\n [2, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "567", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 1, -4],\n [2, 3, -3, 3],\n [4, 1, 0, 4],\n [4, -4, -2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, -1, -3],\n [-2, -2, -4, 1],\n [3, -2, 0, -4],\n [2, -4, 4, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [0, -4, 3, -4],\n [-1, 4, 4, 0],\n [-1, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 2, 1],\n [2, -2, 0, -2],\n [2, 0, 4, -3],\n [1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1508", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[4, 1, -1, 2],\n [1, -4, 2, 0],\n [-1, 2, 3, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 3, 1],\n [1, -4, -1, 0],\n [-2, 4, -4, 1],\n [1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2319", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 0],\n [0, -1, 0, 4],\n [-2, 0, -4, 2],\n [0, 4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "865", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[1, -4, 2, 2],\n [-4, 3, -1, 0],\n [2, -1, 0, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1053", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 1, -2, 3],\n [1, -1, 3, 2],\n [-2, 3, 3, 0],\n [3, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, 3, -2],\n [4, -3, -3, 2],\n [-1, 3, 4, 2],\n [0, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "857", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -4, 2],\n [4, 4, -2, 0],\n [3, 3, -1, -4],\n [-4, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -4],\n [0, -3, 2, -2],\n [2, 2, 3, 1],\n [-4, -2, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8734", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, 0, 1, 1],\n [1, -3, -2, 1],\n [3, -4, -4, -3],\n [1, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 0, 4],\n [-3, -2, 2, 2],\n [1, 1, -3, 1],\n [-1, -2, -3, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -3, 2],\n [3, 3, -1, -4],\n [2, -4, -1, 3],\n [-3, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "834", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 1, 2, -1],\n [1, 3, -1, 0],\n [2, -1, 0, 4],\n [-1, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -3, -2],\n [-4, 4, 2, -4],\n [-2, -1, -1, 0],\n [-2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1142", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-4, -2, -2, 0],\n [-2, -3, -2, 0],\n [-2, -2, -1, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, -3],\n [3, 4, -1, 0],\n [3, -2, 0, -2],\n [-2, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1466", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 3, 0, 0],\n [-1, 2, -1, -3],\n [-1, 3, 4, -2],\n [2, 4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -2, 3],\n [3, -1, -3, 3],\n [3, -1, -2, -3],\n [4, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3834", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, 2, 0],\n [0, 4, 4, 4],\n [1, 1, 0, 4],\n [3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11862", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[0, 0, -2, -2],\n [0, -1, 2, -1],\n [-2, 2, 0, 3],\n [-2, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -1, 2],\n [3, 1, 0, 1],\n [0, 3, -4, 2],\n [-3, 4, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, -4, -1, -1],\n [4, 0, 0, 1],\n [-4, -4, 4, -2],\n [-1, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -1, 1],\n [0, 2, 0, 2],\n [-1, 0, 4, 2],\n [1, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -2, -4, -4],\n [2, -4, -4, -2],\n [-1, -1, -3, -4],\n [-2, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "745", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -1, 0],\n [0, -2, -2, 0],\n [-1, -2, 3, -1],\n [0, 0, -1, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2, 4],\n [-1, -1, 2, -3],\n [3, 1, -2, 4],\n [0, 3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, 1],\n [-2, -2, -4, -2],\n [0, -4, -4, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 2],\n [4, -4, -1, 2],\n [-1, -1, 0, -4],\n [2, 2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1205", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 0, 2, 2],\n [0, 1, 0, -2],\n [2, 0, 4, 0],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, 1, -2],\n [2, 4, -3, -4],\n [1, -3, -3, 4],\n [-2, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[1, 0, 0, 0],\n [0, 4, 0, -2],\n [0, 0, -2, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -4, 1],\n [4, -1, -3, -1],\n [-4, -2, 4, 0],\n [1, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2069", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -3, 4],\n [-4, -4, -1, 2],\n [-4, 4, -1, -2],\n [-4, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 0, 2],\n [-4, -2, -1, -2],\n [0, -1, 4, 1],\n [2, -2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9589", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 3, 2],\n [-4, 0, 2, -1],\n [-4, 4, 0, -3],\n [3, -3, -2, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-926", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 2],\n [0, -1, 0, -2],\n [-1, 0, 2, 0],\n [2, -2, 0, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, -2],\n [0, 1, 2, 4],\n [0, 2, 0, -2],\n [-2, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1077", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, 2],\n [0, -1, 2, 0],\n [-1, 2, -1, -2],\n [2, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -1, 0],\n [-2, 0, -1, -1],\n [-1, -1, -2, -1],\n [0, -1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-4, -1, 3, 2],\n [4, 0, -1, 3],\n [4, 2, 2, 0],\n [-1, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-4, 0, 4, 1],\n [-2, -2, 2, 1],\n [4, 1, 0, 2],\n [-4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, 0, 2],\n [-1, 2, -4, 2],\n [3, 0, -3, 0],\n [1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, -2, -2],\n [-1, -3, 4, 2],\n [2, 1, -2, 1],\n [3, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 2],\n [-3, -3, -4, 0],\n [0, -4, -3, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1383", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -4, -2],\n [2, -4, 2, 0],\n [-4, -4, -4, 4],\n [-2, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1829", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, 0, -3],\n [4, 1, 2, -2],\n [0, 2, 4, 0],\n [-3, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, 0, 4, 3],\n [-3, -2, -3, 3],\n [1, 1, 4, 3],\n [-1, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
+{"messages": [{"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, -2],\n [-2, -2, 0, -2],\n [2, 0, -1, 2],\n [-2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12963", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 2],\n [4, 0, 0, 2],\n [-2, 0, 0, 0],\n [2, 2, 0, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -1],\n [0, 0, 1, 1],\n [3, 3, 4, 3],\n [-3, -4, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, -1],\n [2, 4, -3, 1],\n [-2, -3, 0, 0],\n [-1, 1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 2, 1],\n [3, -1, 0, -1],\n [-4, 3, -4, 0],\n [1, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "563", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -3, 1],\n [4, 3, 3, 3],\n [2, 3, 1, -3],\n [-3, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1214", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -2, 0],\n [-2, -2, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, 2, -2],\n [-2, 0, 0, -2],\n [4, -1, -2, -3],\n [4, -1, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, 2, 0],\n [0, -2, 0, -3],\n [-1, 1, -4, -1],\n [1, 4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 4, 0],\n [-2, 0, 3, 0],\n [4, 3, 1, 2],\n [0, 0, 2, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -1, 1],\n [0, -4, -4, -1],\n [-1, -4, 2, 2],\n [1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4582", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 2, 0],\n [-1, -3, 1, 2],\n [2, 1, 1, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 3],\n [0, 2, 3, 4],\n [-2, -2, -1, 0],\n [-4, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1904", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 2, 0],\n [2, -4, -4, -2],\n [-3, -3, 2, -3],\n [-1, -3, 1, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 0, 1, 0],\n [0, 4, 3, 3],\n [1, 3, 2, 2],\n [0, 3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2, 2],\n [-1, -3, 2, 2],\n [2, 2, 1, -1],\n [2, 2, -1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -4],\n [-4, 2, 4, 2],\n [0, 3, -3, 4],\n [1, 4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, -4, 2, 2],\n [-4, 4, 3, -1],\n [0, -3, 4, 1],\n [-2, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 1, 0],\n [3, 3, -2, -2],\n [1, -2, -2, 3],\n [0, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -1, 2],\n [0, -2, 0, 2],\n [-1, 0, 1, 4],\n [2, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3930", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, -2, -4, 0],\n [-1, 4, 4, 0],\n [-1, 2, 1, -1],\n [-3, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -4],\n [-4, -4, 3, 3],\n [-3, 2, 3, 3],\n [2, 0, -4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, 0, 0],\n [-4, 2, -2, -2],\n [0, -2, 2, -2],\n [0, -2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "720", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, -2, 2, 2],\n [-2, 4, -2, 0],\n [2, -2, -2, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -4, 3],\n [-2, 2, -4, -4],\n [0, 0, 3, 2],\n [3, 1, 1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[1, 2, -2, 0],\n [2, 4, 0, -2],\n [-2, 0, -4, 2],\n [0, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 1, -2],\n [3, 1, -3, 1],\n [2, 0, -2, -1],\n [-1, 1, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, -4, 4, -1],\n [2, -2, -2, 3],\n [3, -4, -3, 3],\n [-4, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3398", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 1, 4, 3],\n [3, 2, 4, -3],\n [-2, 3, 1, 4],\n [-1, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 0, -2],\n [-1, 4, -2, 0],\n [0, -2, -1, 2],\n [-2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -2, -2],\n [2, 4, 0, -2],\n [-2, 0, 0, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 0, 2],\n [2, -4, 1, 0],\n [0, 1, -2, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, -2],\n [4, 2, 0, 2],\n [0, 0, 3, -1],\n [-2, 2, -1, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 3],\n [1, 4, 2, 0],\n [3, -3, 2, -1],\n [4, -4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1956", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -4, -4],\n [4, 1, 0, -4],\n [1, 1, -2, 3],\n [-4, -4, 1, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2377", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2, 0],\n [0, 1, -3, -2],\n [2, -3, 1, 1],\n [0, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 0, -2, 0],\n [0, -3, 0, -2],\n [-2, 0, 2, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 0],\n [1, 3, -4, 1],\n [-2, -4, -2, -1],\n [0, 1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 3, 4, 2],\n [-2, 4, 2, 4],\n [0, 2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1940", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -2, 1],\n [-2, 2, -1, 2],\n [-2, -1, 3, -2],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "910", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 0, -1, 1],\n [3, -2, -4, -1],\n [-1, -4, 4, -2],\n [0, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, -4, -1],\n [1, 2, -2, 4],\n [2, -4, -3, -4],\n [4, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 3, 4, 0],\n [2, 4, 4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 2, 2],\n [-4, -3, 4, -3],\n [1, -4, -2, -3],\n [-2, 0, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, -2],\n [2, 2, -1, 3],\n [-2, -1, 3, 0],\n [-2, 3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "837", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 2, 2],\n [-1, 0, -2, -1],\n [-1, -2, 0, 0],\n [2, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1876", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -2, 0],\n [-2, 0, 2, 0],\n [-2, 2, -3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 3, -2],\n [1, 1, 0, -2],\n [3, 0, 4, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2975", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1, -1],\n [-3, 4, 2, -1],\n [-2, -2, 4, 0],\n [-2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2276", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 3, -4],\n [2, 0, 3, -4],\n [2, 0, -1, 2],\n [-3, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15346", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, 0],\n [0, -2, 0, -4],\n [-2, 0, -4, -1],\n [0, -4, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 4, 3],\n [-4, 3, 4, 1],\n [0, 1, 1, 4],\n [-1, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "634", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 0, 2, 2],\n [0, 4, -3, 1],\n [2, -3, -4, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, 0, -2, 1],\n [0, 3, 2, 0],\n [-2, 2, -3, 0],\n [1, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 2, 2],\n [-2, -1, -2, -2],\n [2, -2, 2, 2],\n [2, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6098", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, -4, 2],\n [2, -4, 4, 1],\n [-3, 0, -1, 2],\n [3, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 1, 2],\n [3, -1, -2, 0],\n [4, 1, 4, 1],\n [-3, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4494", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, -1, 2],\n [2, 1, 3, 1],\n [-2, -1, -2, -4],\n [0, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "910", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -2, 1, -2],\n [-2, -2, -2, -1],\n [1, -2, 4, 2],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, 0, 2],\n [2, 1, 0, 1],\n [0, 0, -2, 2],\n [2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 2, 2],\n [-2, -2, -2, 1],\n [2, -2, -4, -2],\n [2, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2089", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 1, 2],\n [3, 1, -1, 0],\n [1, -1, 3, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 0, -2],\n [2, 1, 0, 0],\n [0, 0, 4, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -1],\n [3, 4, -2, 1],\n [0, 1, -1, 1],\n [2, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, -3, -4, 4],\n [4, 2, -3, 1],\n [-1, -4, -4, 0],\n [-3, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, -1, -4, 2],\n [-3, 4, -2, 3],\n [3, -2, -1, -3],\n [-1, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 1, -4, 2],\n [1, 4, -1, -2],\n [-4, -1, -3, 1],\n [2, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 4, 2],\n [0, 0, -4, 2],\n [4, -4, 0, 1],\n [2, 2, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[2, -4, 0, -3],\n [-1, 2, 0, 1],\n [-3, -2, 2, -3],\n [1, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 1, 0, 2],\n [0, 0, 4, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 1, 0],\n [2, 0, 0, 2],\n [2, -2, -2, -2],\n [1, 1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 1, 2, 0],\n [1, -2, 1, 1],\n [2, 1, -2, 3],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 4, 1],\n [3, -4, 0, -4],\n [3, 3, -4, 4],\n [-3, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3275", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 3, 2],\n [2, 4, -2, -2],\n [3, -2, 3, 0],\n [2, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 1, 0],\n [-1, 3, 0, -2],\n [1, 0, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 2, 0],\n [1, 2, 2, 1],\n [2, 2, -4, 0],\n [0, 1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, -3, 2],\n [-4, -2, -1, -4],\n [0, -2, -3, -2],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "516", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, 2, 2],\n [0, 1, 2, 2],\n [2, 2, 4, -3],\n [2, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 2, -4],\n [0, 4, 2, 2],\n [-3, 3, -2, 3],\n [-2, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3737", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, 0, 0],\n [2, 3, -2, 3],\n [0, -2, 1, -2],\n [0, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, 0],\n [2, 1, 0, 3],\n [0, 0, 0, -2],\n [0, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, -2],\n [-4, -1, 4, -4],\n [-3, 4, -3, -2],\n [2, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -4, -2],\n [-4, -3, 3, 2],\n [-3, -3, 4, 1],\n [0, 1, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 0],\n [-1, 4, 2, 4],\n [0, 2, -1, -2],\n [0, 4, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -1, -3],\n [-3, -1, 4, 3],\n [-2, 4, 0, -2],\n [0, -1, 3, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, -1, 2],\n [-3, 1, 3, 2],\n [2, 3, 2, 0],\n [2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1856", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, -3, -1, 2],\n [-4, -3, 4, 2],\n [2, 1, -2, -2],\n [-3, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 2],\n [2, -1, 3, 0],\n [-2, 3, -4, 0],\n [2, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "941", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 1, 0, 1],\n [1, 3, -4, 2],\n [0, -4, 2, -1],\n [1, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-230", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, 2, -1, 2],\n [2, -4, 0, 0],\n [-1, 0, 1, 0],\n [2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -1, 1],\n [2, 4, -4, 3],\n [3, 1, -1, -2],\n [-2, 1, 3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 0, -2, -2],\n [0, -2, 4, -3],\n [0, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -2, 1],\n [-1, 2, -3, 0],\n [-2, -3, 1, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 3, 3],\n [-1, -4, -4, -3],\n [4, -3, -3, 1],\n [2, 2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "638", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 0, -2, -2],\n [0, 4, 2, -2],\n [-2, 2, 1, -3],\n [-2, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -1, 0],\n [2, -3, 1, -4],\n [2, 4, 0, 0],\n [-1, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5722", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 2],\n [0, 4, 0, -2],\n [0, 0, -3, 0],\n [2, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -2, 0, 0],\n [-2, -1, 0, -1],\n [0, 0, -1, -1],\n [0, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[3, -4, 3, -3],\n [1, -4, 0, 2],\n [-4, -3, 2, 1],\n [-2, -3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -3, 2],\n [3, 1, 1, -4],\n [-1, -4, -1, -3],\n [0, 4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -1, 3],\n [1, 3, -4, 1],\n [-4, -4, 3, 2],\n [-2, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10756", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, -2],\n [4, -3, -4, -3],\n [2, -4, 1, 2],\n [4, 3, 1, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 0],\n [0, -2, -2, -3],\n [-2, -2, 1, -2],\n [0, -3, -2, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, 3, -4],\n [-1, -4, 4, 2],\n [2, 0, 2, -3],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, 0, 1],\n [1, 4, -1, -4],\n [1, 0, 1, -2],\n [-3, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3064", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, 2, -4, -1],\n [2, 4, 0, -3],\n [2, -4, 2, 1],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 4, 4],\n [2, 2, -2, -3],\n [2, 4, -4, -1],\n [1, 2, 2, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, 0, -4, -4],\n [-2, -2, 3, 4],\n [-4, -3, -3, -1],\n [-3, 2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 4, 2],\n [-2, 1, 4, 2],\n [4, 4, -4, 0],\n [2, 2, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 0],\n [0, -4, 0, 0],\n [4, 0, 0, -4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5321", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -4],\n [4, -4, -1, -3],\n [-1, 3, 3, 4],\n [0, 2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -3, 0],\n [-2, -3, -4, -2],\n [-4, -4, -4, 3],\n [-2, -4, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22743", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[3, -1, -1, 0],\n [1, 2, -1, 3],\n [1, -4, -4, 4],\n [1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 4, 2],\n [-4, 4, -1, -2],\n [-1, -1, -3, -4],\n [-4, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, -2, 4],\n [2, 2, -2, -3],\n [-2, -2, -2, 0],\n [4, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, -2, 1],\n [-1, -1, 2, 0],\n [-2, 2, 2, -1],\n [1, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -2, 2],\n [1, 0, 0, 2],\n [-2, 0, -4, 2],\n [2, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2, 2],\n [2, 1, 2, -3],\n [4, -4, -4, -2],\n [-2, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -1, 4],\n [0, -3, -2, -2],\n [-1, -2, -3, 2],\n [4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6657", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, -1],\n [0, -1, 3, -1],\n [1, -3, 0, 1],\n [0, -3, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 2, 1],\n [-1, 1, 2, -1],\n [2, 2, 1, -2],\n [1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2668", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, 3, 0],\n [3, 1, 0, 4],\n [2, 3, -4, -3],\n [3, 4, -1, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 2, -3],\n [4, -1, 3, 0],\n [2, 3, -4, -2],\n [-3, 0, -2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, -1, -2, -2],\n [-3, 1, -3, 3],\n [3, 0, 2, -1],\n [-4, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 4, -1, -2],\n [-3, 0, -2, 2],\n [1, -4, 3, -3],\n [0, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 1, -2],\n [-2, 3, -3, -3],\n [0, 1, -3, 0],\n [2, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1127", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 0, 0, -1],\n [4, 0, -3, 3],\n [2, 3, -2, -1],\n [0, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[0, 2, 0, -4],\n [2, 3, 2, -1],\n [3, 0, 4, 0],\n [-4, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, 1, 3, -2],\n [0, -3, -3, 2],\n [1, -1, 0, -4],\n [2, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, -1, 2, 0],\n [-1, -2, 0, 1],\n [2, 0, -3, 2],\n [0, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, 4],\n [0, -3, -2, 0],\n [0, -2, 4, -1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2380", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 2, -4],\n [3, -2, 1, 2],\n [-4, 1, 2, 1],\n [-1, -4, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1412", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -2, -4],\n [2, 3, 0, 4],\n [-2, 0, 2, 1],\n [-4, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2734", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -4, 1],\n [-3, 4, -3, 2],\n [-4, 2, 0, 3],\n [-1, 2, 1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, 2, 0, 0],\n [-4, -3, 0, -2],\n [-3, -1, -1, -1],\n [-1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, 0],\n [0, 2, 2, -1],\n [-2, 2, -2, -2],\n [0, -1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, 4],\n [-4, 0, 4, -1],\n [3, 1, -2, -1],\n [-3, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, -2, 2, 2],\n [-2, 2, 0, 4],\n [2, 0, -1, 0],\n [2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, 0, 1],\n [-2, -4, -3, 1],\n [0, -3, 4, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3830", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, 2],\n [1, 2, 1, -2],\n [-2, 1, -4, 0],\n [2, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4145", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 2],\n [1, 4, -3, -3],\n [0, -3, -4, 0],\n [2, -3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 1, -1],\n [0, -1, 0, 1],\n [1, 0, 3, 4],\n [-1, 1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -2, -3],\n [-4, 3, -2, 2],\n [-4, -4, 4, 3],\n [-2, 1, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, -1, -2],\n [1, 1, -4, -3],\n [-1, -4, -3, 2],\n [-2, -3, 2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 1, 4, 4],\n [3, -2, -2, -3],\n [0, -1, 2, -1],\n [4, -3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, 2, -1],\n [3, 4, -4, 2],\n [4, 0, -3, 1],\n [2, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1062", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, -2],\n [2, 2, 0, -1],\n [2, 0, 1, -2],\n [-2, -1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -2, 0, 0],\n [0, 0, -3, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 2],\n [-2, 0, 3, 2],\n [0, 3, -2, -1],\n [2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2898", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -2, 3, 4],\n [3, -1, 1, -4],\n [-1, 3, -4, -2],\n [-4, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -1, 1],\n [2, -2, -2, 3],\n [0, -1, 2, 2],\n [4, 4, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, 3, 1],\n [-2, -2, 3, 0],\n [2, 0, 3, -1],\n [-3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "602", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 4, -1],\n [4, -3, -3, 4],\n [2, 2, -4, 1],\n [2, 1, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, -1],\n [1, 0, -2, -2],\n [0, -2, -3, 0],\n [-1, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -2, -2],\n [1, -4, -1, 2],\n [-2, -1, -3, 2],\n [-2, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 2, 0],\n [1, 0, 2, -3],\n [0, -2, 4, 1],\n [-2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "864", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 1],\n [-4, 0, 2, 1],\n [-3, -1, -3, -4],\n [-2, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1129", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, -1, -2],\n [-2, -3, -3, 0],\n [4, -3, -3, 1],\n [-3, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -4, -2],\n [0, 0, 1, 3],\n [0, -4, 0, -2],\n [-1, 3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "391", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 0, 2],\n [2, 3, 2, -3],\n [0, 2, 1, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 2, 1, 0],\n [2, 4, 1, 0],\n [1, 1, 0, 2],\n [0, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, 2, -1, -2],\n [2, 4, 0, 2],\n [-1, 0, 3, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 2, -2, 0],\n [2, -2, 1, -1],\n [0, 0, -1, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0, -1],\n [2, 3, -1, -4],\n [-4, -4, -4, 0],\n [-1, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "825", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, -4, 3],\n [-2, 3, -1, 3],\n [-4, -2, 1, 4],\n [-3, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6417", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 0, -4],\n [0, 4, 0, -1],\n [0, 0, -2, 1],\n [-4, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3811", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 1, 2],\n [0, 0, -2, -1],\n [1, -2, 1, 2],\n [2, -1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1699", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, -2, 0],\n [2, -1, 0, 0],\n [-2, 0, -1, -2],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2019", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 1, -3],\n [0, -1, 2, 2],\n [1, 0, -4, -2],\n [4, -4, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 1, 0],\n [-3, -1, -2, 0],\n [1, -2, 0, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, -4, -4, 2],\n [-2, -4, 4, 2],\n [-2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3141", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, -3, 4],\n [-4, 2, -2, -2],\n [-3, 1, -3, -1],\n [4, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -1, 0],\n [3, -3, 0, 1],\n [0, 4, -4, -2],\n [-3, -2, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 0, 4],\n [-2, 2, 1, 0],\n [0, 1, -3, -1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -3, 0],\n [2, 1, 1, 2],\n [-2, -2, 4, 3],\n [0, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "993", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 0, 0],\n [-3, 0, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, 3],\n [-2, 0, 3, 1],\n [2, 3, -2, -4],\n [3, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -4, 2],\n [2, 3, 0, 0],\n [0, -4, 0, 1],\n [-4, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 2, -4],\n [-4, -4, 1, -3],\n [-4, 1, -3, 1],\n [3, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5945", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 1, 2],\n [2, 1, 0, -2],\n [1, 0, 2, 3],\n [2, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 4],\n [-1, -3, 4, -3],\n [-2, -3, -2, 1],\n [-2, 3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3526", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 0, -2, -4],\n [0, 4, 2, -2],\n [-2, 2, -1, 2],\n [-4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, -2, 1],\n [-1, 2, -2, 1],\n [4, -4, -2, -3],\n [3, 2, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, 2],\n [0, 0, 1, 2],\n [-2, 1, 1, -1],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2, -2],\n [2, -1, 0, 3],\n [-2, 0, 1, 1],\n [-2, 3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 0, 4],\n [-4, 2, 2, -2],\n [0, 2, -3, 0],\n [4, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "837", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, -1],\n [0, -1, 1, -1],\n [-3, 4, -3, 4],\n [1, 4, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, -2, 1],\n [-3, 4, 2, 1],\n [-2, 2, -3, 1],\n [1, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 1],\n [1, 1, -4, 2],\n [2, -4, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 0, -2, 0],\n [0, -3, 0, -4],\n [-2, 0, 4, 0],\n [0, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-640", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-1, 0, 2, -2],\n [-3, 2, 0, -4],\n [-4, 4, 0, -4],\n [2, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 0, 2, 3],\n [-3, 2, -4, 2],\n [3, -3, 4, -4],\n [1, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, 2, -3],\n [0, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -4, 1],\n [0, 3, 2, 2],\n [-4, 2, 0, 1],\n [1, 2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "949", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, 2, -1, 0],\n [2, -3, 4, 2],\n [-1, 4, -4, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2189", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1, -1],\n [0, -2, 2, -2],\n [-1, 2, -2, 1],\n [-1, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-3, -3, -1, -1],\n [-1, 1, -3, 1],\n [2, -2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, -2, -2, 2],\n [-2, 1, -2, 3],\n [-2, -2, 0, 3],\n [2, 3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 2, -2],\n [-1, 2, 2, 0],\n [2, 2, 4, -1],\n [-2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, 0, -2, -1],\n [0, -3, 0, -2],\n [-2, 0, -3, 0],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 3, 1],\n [-3, 3, 0, 3],\n [3, 1, -3, 3],\n [1, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6433", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 3, 2],\n [2, 0, -3, 1],\n [-2, -1, -3, -3],\n [3, 3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 1],\n [-2, -4, 0, 3],\n [0, 0, 0, 0],\n [1, 3, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -3, 1, -1],\n [-3, 4, 2, 1],\n [0, -2, -1, -2],\n [3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2359", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -3, -2],\n [4, -2, -3, 4],\n [4, -1, 4, -2],\n [2, 2, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4696", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 2, -2],\n [-2, 1, -2, 2],\n [2, -2, -3, -1],\n [-2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6514", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -4, -3, 2],\n [3, 0, 1, -4],\n [1, 3, -2, -4],\n [-1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-674", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 4, 0, -2],\n [4, 3, 2, -2],\n [0, 2, 0, 2],\n [-2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, 3, -1, 2],\n [3, 2, 0, -4],\n [-1, 0, 1, -2],\n [2, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2008", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 1, 4, -4],\n [-4, 0, 0, 0],\n [1, 3, -2, 4],\n [-4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13226", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, 0],\n [0, -4, -2, 4],\n [2, -2, 2, 2],\n [0, 4, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -1, 3],\n [-2, -1, 1, 2],\n [-1, -1, 2, 1],\n [3, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 3, 4],\n [4, -3, 2, 2],\n [-1, 4, 3, -4],\n [-3, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1185", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 4, 2],\n [3, 4, 2, 0],\n [0, 1, 0, 4],\n [-2, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 2, 0],\n [2, -3, 1, 3],\n [-4, -1, -4, -4],\n [3, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 0, -1, 0],\n [0, 3, 2, 2],\n [-1, 2, -1, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -2, 1, 1],\n [-2, -3, 2, 4],\n [1, 2, 0, -2],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 0],\n [2, 0, 2, 3],\n [0, 2, 3, 0],\n [0, 3, 0, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 3, -4],\n [1, -3, -3, 2],\n [-4, 1, 2, 3],\n [2, 1, 4, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "597", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -4, -2],\n [-2, -2, -1, 0],\n [-4, -1, 2, -1],\n [-2, 0, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -4, 3, 3],\n [1, 0, 3, -2],\n [-2, -3, 0, -2],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1207", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 2, -2, -1],\n [-2, -2, 0, 2],\n [0, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "653", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 2, -2, 1],\n [2, 4, 1, 0],\n [-2, 1, 2, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -3, 1],\n [3, -3, 2, -2],\n [-3, 2, 0, -1],\n [1, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, 0, 0],\n [2, 1, 0, 1],\n [0, 0, 1, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 2],\n [4, 4, -4, -4],\n [-2, 1, -3, -4],\n [-4, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13940", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, -2, -3, 4],\n [-4, 2, -1, 0],\n [0, -4, 1, 4],\n [-3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 2, -2],\n [0, 1, 1, 2],\n [2, 1, 2, -1],\n [-2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1266", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, 3, -1, 3],\n [3, -2, 4, -2],\n [-4, -3, 1, -3],\n [1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -3, -2],\n [0, -2, -2, 4],\n [-3, -2, 4, 3],\n [-2, 4, 3, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 3],\n [0, 4, 0, 2],\n [0, 0, -3, 2],\n [3, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6325", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 1, 0],\n [2, -2, -4, -1],\n [1, -4, 2, -1],\n [0, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5653", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 0, 2],\n [2, 4, -1, 1],\n [0, -1, -2, 4],\n [2, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4813", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 0, -1],\n [0, 4, 1, -2],\n [0, 1, -3, -1],\n [-1, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1735", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, -2, -3],\n [0, -1, 2, 0],\n [3, -1, 1, -1],\n [-3, -4, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "901", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, 0],\n [2, 3, -2, -2],\n [2, -2, -4, -3],\n [0, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -2, -1, -2],\n [-4, 3, -3, -4],\n [3, 2, 2, -1],\n [4, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, 2, 1],\n [1, -1, 4, 2],\n [2, 4, 1, -1],\n [1, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -3],\n [0, 2, -3, -1],\n [-2, -3, 1, 1],\n [-3, -1, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, 3, 3, -1],\n [0, -1, 4, -3],\n [3, -3, -4, -2],\n [4, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 4, -2],\n [4, 0, 4, 1],\n [4, 2, 2, 3],\n [2, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12853", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 4, -4],\n [-4, -2, 1, 0],\n [-3, 4, -1, -1],\n [0, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, 0],\n [1, 0, -4, 0],\n [-2, -4, 2, 0],\n [0, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -4, -4],\n [0, 1, 0, -4],\n [-4, 0, -4, 0],\n [-4, -4, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1199", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 4, 3, 0],\n [-3, 0, 1, -4],\n [-1, 4, -3, 0],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, -3, -4],\n [0, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -3, -2],\n [1, 0, -1, -1],\n [0, -3, 4, -3],\n [-3, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 2],\n [-2, -2, 1, -2],\n [0, 1, 3, 3],\n [2, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2308", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 3, 4],\n [-2, -3, 2, 1],\n [3, 2, 1, -3],\n [4, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10887", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 3, 0, 4],\n [-4, 4, 2, -1],\n [-2, 1, -4, -2],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 1],\n [0, -3, 4, -3],\n [0, 4, -2, -2],\n [1, -3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7800", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, 0],\n [-1, -2, 0, -1],\n [3, -1, 3, 1],\n [0, -1, -1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, 0, 2],\n [0, -2, 2, -3],\n [0, 2, -3, 0],\n [2, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -3, -4],\n [3, -1, -2, -1],\n [0, -4, -4, -2],\n [1, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10511", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 2, -1, 1],\n [3, 4, 1, 4],\n [-1, 1, 3, 4],\n [-2, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 3, 4, 4],\n [-3, 4, 2, 0],\n [2, 4, 3, 1],\n [-1, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, 2, 0, -2],\n [2, -3, -3, -1],\n [0, -3, 4, -3],\n [-2, -1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -2, 2, 2],\n [-2, 0, 0, 2],\n [2, 0, -3, 3],\n [2, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -4, 1, -1],\n [-4, -3, -2, 4],\n [3, 2, -1, -4],\n [3, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 4, -2],\n [0, -1, 4, 0],\n [4, 4, -3, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14375", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, -2],\n [2, 4, 1, -2],\n [2, 1, 1, -4],\n [-2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22849", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, -3, 2],\n [0, -3, 0, -1],\n [-3, 0, 2, -1],\n [2, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4368", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-4, -2, 2, 0],\n [-2, -3, 0, 0],\n [2, 0, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 2, -4],\n [1, 3, 0, 2],\n [1, -1, 2, 4],\n [2, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [3, -1, 4, 2],\n [2, 3, 1, 3],\n [-2, -4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2683", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, -3, 2],\n [-3, 3, 1, 2],\n [2, 1, 4, 4],\n [2, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, -4],\n [2, -2, 0, 0],\n [0, 0, -1, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10282", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -1, 4],\n [0, -1, -3, 1],\n [-3, 2, -2, 4],\n [0, 3, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2, -2],\n [0, 3, -2, -2],\n [-2, -2, -1, 4],\n [-2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1754", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 3, -2],\n [4, -3, 1, -4],\n [2, -2, 2, -1],\n [4, 0, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 3],\n [2, 1, -4, 4],\n [-2, 0, 2, 2],\n [-2, -1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1959", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 4, 2, 3],\n [1, 1, 4, -1],\n [0, 4, -4, -1],\n [2, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, -4, 3],\n [-3, -4, 2, 4],\n [4, -2, 1, 2],\n [4, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3865", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 1, 0],\n [-1, 2, 0, 0],\n [1, 0, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 1, -2],\n [2, 1, 0, 1],\n [1, 0, -3, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, -2, -4],\n [-4, -4, 0, 4],\n [-2, 0, 4, 0],\n [-4, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2270", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 3, 1],\n [4, -4, 4, -4],\n [-2, -4, -2, -3],\n [-3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-964", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -4, -1],\n [-3, -2, 4, -3],\n [-1, -4, -3, 0],\n [-4, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5774", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 0],\n [2, 3, 4, 0],\n [-4, 4, -2, 0],\n [0, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4674", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 2, 0, 3],\n [2, -1, 0, 1],\n [0, 0, -4, 0],\n [3, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -4, -2],\n [-1, 0, 4, -1],\n [-2, -4, 1, 2],\n [3, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4325", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 4, 0],\n [-2, 4, -4, 1],\n [4, -4, 2, 0],\n [0, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17523", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 3],\n [1, -3, 2, -3],\n [-3, -3, -4, -4],\n [2, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8455", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, 2, 0],\n [-4, 2, 0, 2],\n [2, 0, -1, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 2, -4],\n [0, -2, 0, -1],\n [-3, -1, -2, -4],\n [3, 0, -1, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -2, -2],\n [-3, -2, 0, 0],\n [-2, 0, -2, -1],\n [-2, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "690", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -4, -1],\n [-1, -4, -3, -4],\n [1, -2, 2, 0],\n [4, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1539", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 4, -2],\n [1, 3, 4, 2],\n [-2, -4, -1, 1],\n [-2, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4241", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -1, -2, 0],\n [-1, -2, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, -4, 0],\n [-2, -4, -2, 2],\n [-4, -2, -4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1040", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[3, 2, 1, -2],\n [2, 0, -1, -4],\n [1, -1, 3, 0],\n [-2, -4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, -2],\n [-2, -1, -1, 2],\n [-2, -1, 3, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-3, -2, 0, 0],\n [-2, -2, 0, -2],\n [0, 0, -2, 0],\n [0, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, 1, 1],\n [3, 1, -2, 2],\n [1, -2, 3, 2],\n [1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 1],\n [0, -4, 2, -1],\n [-1, 2, -2, 2],\n [1, -1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, -4, 0, 4],\n [-4, -1, 1, 3],\n [-2, 0, 2, -4],\n [2, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -1],\n [0, -1, 1, -2],\n [-2, 1, -4, 1],\n [-1, -2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 4, 0],\n [-4, -4, -1, -1],\n [4, -1, 0, -4],\n [0, -1, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7428", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -2, 0],\n [2, 2, 0, 1],\n [-2, 0, 0, -1],\n [0, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, 0, 4],\n [1, 1, -1, -4],\n [0, 4, 3, 3],\n [0, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 4, 1, -3],\n [3, 4, 4, -3],\n [-3, 2, -1, -4],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -4],\n [2, 1, 3, 3],\n [0, 3, 0, 1],\n [-4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8740", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 1, -2],\n [4, -3, -2, 2],\n [1, -2, -4, 0],\n [-2, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, -4],\n [2, 1, 0, 0],\n [0, 0, 0, 1],\n [-4, 0, 1, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, -3, 0, 0],\n [-3, -2, 2, -2],\n [0, 2, -2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, 4, -2, -2],\n [-1, -4, 4, -2],\n [-1, -4, -1, -4],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -2],\n [1, -1, -2, 4],\n [0, 2, 1, 0],\n [2, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, 0, -1, 3],\n [0, -3, 0, 1],\n [-1, 0, 2, -2],\n [3, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 0, -2],\n [-2, -2, 3, 4],\n [0, 3, 3, -2],\n [-2, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12413", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, -2, -2],\n [0, 4, -2, 2],\n [-2, -2, 1, 0],\n [-2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, 4, 2],\n [-4, -3, 1, 2],\n [-2, 4, 2, 1],\n [1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1360", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, -2, 0, 2],\n [-2, -3, 2, 0],\n [0, 2, 3, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, 0],\n [-2, -1, 2, -3],\n [-2, 2, 2, 4],\n [0, -3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3497", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -3],\n [-2, 4, 2, -4],\n [-2, -3, -4, 4],\n [3, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -4, -3],\n [2, 2, 1, 0],\n [-2, -2, 4, -1],\n [4, -1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 0, -4],\n [-2, 0, 1, -4],\n [4, -2, -2, -3],\n [3, -2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 4, 4],\n [2, 3, -2, 0],\n [-3, 2, 3, 4],\n [2, 3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1364", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, -3, 3, 0],\n [2, 3, -2, -2],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5707", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -2],\n [2, -4, 0, 1],\n [0, 0, -3, 1],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, 2],\n [1, 4, 0, -1],\n [-2, -4, -2, -2],\n [2, 2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 2, 2],\n [3, 1, -2, -4],\n [2, -4, -4, 4],\n [2, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4042", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, -2, -1],\n [0, -4, -2, -2],\n [-2, -2, 0, 1],\n [-1, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, 3, 1, -4],\n [2, -2, 1, 3],\n [2, 1, 4, 4],\n [-4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -3, -1],\n [-2, 2, 3, 1],\n [-2, 1, -3, 2],\n [2, -1, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -1, 3],\n [-2, 0, 0, 0],\n [-1, 0, -4, 4],\n [3, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2361", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 3, -1],\n [-2, 1, 3, 4],\n [1, 0, -3, -3],\n [4, -3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, -2, -1, 4],\n [-2, -1, 4, -2],\n [-1, 4, 4, 0],\n [4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[3, -3, 4, -1],\n [-4, -1, -2, 1],\n [2, 3, -3, 1],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, 0, 1],\n [0, 0, 0, 4],\n [0, 0, -3, -1],\n [1, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2, 2],\n [0, -4, -2, 0],\n [-2, -2, -2, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "819", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, -4, -2],\n [1, 3, -1, 0],\n [4, 1, 2, 2],\n [-1, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 4, -3],\n [2, -4, -4, -1],\n [2, -3, -3, -4],\n [-3, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15292", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, -2],\n [4, -3, -2, 2],\n [0, -2, -4, 2],\n [-2, 2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22283", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 3, -2],\n [-1, -4, -1, 4],\n [3, -1, 2, -2],\n [4, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -1],\n [0, -2, -2, 2],\n [0, -2, 1, 2],\n [-1, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[2, 4, -1, 4],\n [4, -1, -2, -3],\n [4, -3, 1, 0],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 2, -2],\n [2, -4, 2, 2],\n [2, 2, -2, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, 0, -3, -1],\n [0, -3, 4, -1],\n [0, -1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2073", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 0, 2, -4],\n [0, -2, 2, 0],\n [2, 2, -4, 2],\n [-4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, 4, -2],\n [0, 3, -4, 3],\n [2, -4, 1, -4],\n [-3, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 3, 3],\n [1, -2, -4, -3],\n [0, 0, -4, -4],\n [4, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15394", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 1, -2, -3],\n [1, -2, 1, 2],\n [-2, 1, -2, -2],\n [-3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 4, 0, 0],\n [4, 0, -2, -2],\n [0, -2, -2, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, -2],\n [0, 0, 0, -2],\n [-1, 0, 2, -4],\n [-2, -2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-331", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, 3],\n [3, 0, 1, -2],\n [2, 1, 0, 2],\n [3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 3],\n [-4, 4, -4, -3],\n [3, 4, 2, -2],\n [2, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-463", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -1, -3, -1],\n [3, 0, 0, -2],\n [3, 1, -3, -3],\n [4, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 1, 1],\n [-2, -2, -2, -2],\n [2, -3, -3, -2],\n [2, -2, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2600", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 4, 3],\n [3, 4, 0, 0],\n [-2, 0, 3, 0],\n [-1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2159", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 2, -2, -2],\n [2, 3, 0, -1],\n [-2, 0, 2, 2],\n [-2, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 4],\n [-2, 1, 0, 4],\n [0, 0, 4, 2],\n [4, 4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7159", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -1, -3],\n [1, 4, -4, 2],\n [1, -2, -4, -1],\n [4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 3, -2, 2],\n [3, -2, -3, 3],\n [-2, 2, -4, 1],\n [4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6867", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[3, -2, -2, -1],\n [-2, 4, -1, 1],\n [3, 3, 0, 0],\n [1, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [-3, 2, 1, -4],\n [-1, -2, -2, 2],\n [-1, 3, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, 1, 1],\n [1, -2, 0, 0],\n [1, 0, 3, 1],\n [1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, 0, 4, 4],\n [-4, 3, -4, -3],\n [2, 3, -4, -2],\n [2, 4, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 3, -4],\n [3, 2, 3, -4],\n [1, 2, 0, 0],\n [2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 0, 2],\n [-1, -4, 2, 2],\n [0, 2, 3, 1],\n [2, 2, 1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -1, 2],\n [-2, 3, -2, -4],\n [-1, -2, -1, 2],\n [2, -4, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [1, 1, -4, 0],\n [1, 3, -4, 0],\n [-2, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, 4, 0],\n [-3, -2, -1, 0],\n [-2, 2, 0, 0],\n [1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 1],\n [2, 2, 2, -1],\n [-2, 2, 0, 2],\n [1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, -1, 0],\n [1, 3, 3, 2],\n [-1, 1, -1, 2],\n [-4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -1, 4],\n [0, 4, 3, -1],\n [2, 0, -1, 0],\n [0, 4, 4, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, -1, -2],\n [-2, 1, 2, -2],\n [-1, 2, -1, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, -4, 0, 0],\n [-4, 4, 1, 2],\n [0, 1, -2, 0],\n [0, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 2, 0],\n [-3, 0, 2, 1],\n [2, 2, 4, 4],\n [0, 1, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, -3],\n [-2, 3, 1, 0],\n [-4, 4, -2, -2],\n [-3, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-548", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, 0],\n [2, -4, 0, 1],\n [-2, 0, 3, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [0, 0, 1, -3],\n [-2, 1, -1, -2],\n [2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -1],\n [-2, 3, -2, 1],\n [2, 2, -3, -2],\n [-1, 2, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, -2],\n [0, 0, 2, 0],\n [-3, 2, -3, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, 2, -3, -4],\n [3, -4, -3, 1],\n [-4, -2, 2, 3],\n [-1, -2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 2, -3],\n [1, 0, -1, 0],\n [2, -1, -3, 2],\n [-3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -1],\n [-2, 3, -1, 0],\n [0, -1, 4, 0],\n [-1, 0, 0, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, 3, 4],\n [2, -3, 4, 3],\n [0, -2, 2, -3],\n [-2, 4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-441", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2, 4],\n [-2, -3, 0, 1],\n [-4, 1, -2, -1],\n [1, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 4, -1],\n [1, 0, -4, 0],\n [0, 4, -4, 0],\n [2, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -1, 1],\n [2, -1, 1, 0],\n [-1, 1, 2, -1],\n [1, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 1, -1, -1],\n [3, -3, -1, -3],\n [-4, -2, 3, 1],\n [2, -3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, -1, 1, 0],\n [4, 3, -3, 2],\n [2, -4, -4, -1],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "799", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 3, 1, 0],\n [3, 3, 2, 0],\n [1, 2, 3, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 2, 0],\n [3, 0, -4, 4],\n [-1, -3, -1, 4],\n [-3, -1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 1],\n [-2, -4, 2, 1],\n [0, 2, 3, 0],\n [1, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3365", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 0, -2],\n [3, -2, 0, 0],\n [0, 0, 0, -1],\n [-2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, 0, 2, 4],\n [0, 3, 0, 0],\n [2, 0, -1, 0],\n [4, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 4, -3],\n [0, -1, 0, 0],\n [4, 0, 1, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 3],\n [0, -2, 4, 0],\n [0, 4, 1, 0],\n [3, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -3, 1],\n [1, -3, -1, 3],\n [3, 3, 3, -4],\n [-3, -1, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-487", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 2],\n [0, 1, 1, 0],\n [0, 1, 3, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 2, 0],\n [2, 1, 4, 1],\n [2, 4, -4, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1465", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, -1, 0],\n [-2, -1, -2, 4],\n [-1, -2, 2, 3],\n [0, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
+{"messages": [{"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, -2],\n [-2, -2, 0, 1],\n [-2, 0, -4, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6375", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, -3, 1, -4],\n [-4, 4, -1, 4],\n [0, 2, -4, 1],\n [3, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 0, 0],\n [-4, -2, 0, -2],\n [0, 0, 2, 2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1035", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 2],\n [2, -3, 2, -2],\n [0, 2, -1, -1],\n [2, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7479", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 0, 0],\n [-2, 4, -2, -1],\n [0, -2, -3, 2],\n [0, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5575", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 0, -3],\n [1, 2, 2, -2],\n [2, 0, 3, 3],\n [2, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -4, 0],\n [1, -2, 3, 2],\n [-3, 2, -4, 4],\n [2, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, 2],\n [0, -2, 0, 2],\n [0, 0, 1, 4],\n [2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5210", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 1],\n [0, 3, 2, -3],\n [2, 2, 1, -4],\n [1, -3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 3, 0, -4],\n [3, -2, 0, 2],\n [0, 0, 2, -4],\n [-4, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1627", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, 2, -1, -4],\n [-4, -1, 0, 2],\n [-1, -4, 2, -3],\n [-3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 1, -2],\n [3, 4, 0, -3],\n [-3, 2, -4, -3],\n [-1, -4, -1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 0, -3],\n [4, 1, -3, -2],\n [3, -4, -2, -4],\n [3, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2104", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 3, -4],\n [0, -1, -2, 0],\n [-2, 3, -2, -4],\n [4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3058", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 4, 3],\n [-2, 0, 4, -4],\n [4, -1, -1, -1],\n [4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5506", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 2, -1],\n [3, -2, -4, 0],\n [-3, -2, 1, -2],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 1],\n [3, -2, -2, 1],\n [3, 1, -2, -1],\n [-4, 3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 4, 4],\n [-2, -2, -1, 2],\n [-2, 3, 3, 1],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, 1, 0, -3],\n [0, 0, 4, 3],\n [2, -2, -1, 1],\n [-2, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [-1, -2, 2, 0],\n [-2, 2, 0, 2],\n [2, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 3, -4],\n [-1, 1, -1, 1],\n [0, 4, 4, -1],\n [-1, 3, -1, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, -4, 0, 1],\n [4, 0, 1, 1],\n [-2, -1, -4, -1],\n [-4, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 1, -4],\n [2, -1, 0, 1],\n [-4, 4, -1, 3],\n [0, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2, -3],\n [-2, -3, 0, 1],\n [-2, 0, -2, 2],\n [-3, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -1],\n [0, -3, 2, -1],\n [2, 2, 4, 0],\n [-1, -1, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6061", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -2, 3],\n [2, -4, 0, 4],\n [1, 3, -4, 2],\n [-2, 4, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "927", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -2, -3],\n [-3, 0, 2, 3],\n [3, 3, -2, -3],\n [-1, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -4, 2],\n [2, -1, 2, 3],\n [-2, -3, 2, 0],\n [0, 0, 2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-629", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 2, 0],\n [1, -4, -2, 0],\n [2, -2, -2, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2893", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 0, 2],\n [1, 4, 1, 4],\n [-1, -4, -4, 2],\n [-2, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 3, 2],\n [-3, -4, 4, 0],\n [0, -1, -3, 0],\n [-3, 2, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1272", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -1, -2],\n [-2, 1, 2, 0],\n [-1, 2, -1, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 3, 1],\n [1, 3, 4, 0],\n [-4, -4, -3, 0],\n [-1, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "609", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -4, 4, -2],\n [-1, 0, 2, 1],\n [0, 3, -4, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5278", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 4, -3, -2],\n [3, 4, -2, 1],\n [2, -4, 2, -1],\n [0, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, -2, 2, 0],\n [-2, 2, 1, -3],\n [2, 1, 0, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, -3],\n [-4, 1, -2, 0],\n [-3, -4, -4, -1],\n [-3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -3],\n [0, 4, 4, -3],\n [2, -1, -2, -4],\n [-2, 4, 4, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -2, -1, 2],\n [2, -3, 0, 2],\n [2, 1, 3, -2],\n [-4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, -4, -1],\n [0, -3, 0, -1],\n [3, -4, 0, -4],\n [-1, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2165", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -3, -4],\n [1, 1, -3, -4],\n [-2, 0, 1, -2],\n [4, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[3, 1, -1, 1],\n [3, 3, -3, 3],\n [1, -3, -4, 1],\n [2, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 2, 2, 2],\n [0, 2, -2, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1530", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -1, 0, 0],\n [-1, 0, 2, 2],\n [0, 2, 0, -2],\n [0, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -4, -1],\n [3, -2, 0, -3],\n [-3, 2, -2, 0],\n [-2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 2, 3],\n [-3, 3, -3, 0],\n [2, -3, 0, -1],\n [3, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 2, -2],\n [2, 0, 0, 2],\n [2, 0, -3, 0],\n [-2, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, 1, -4],\n [-4, 1, -2, -2],\n [1, -2, 1, 0],\n [-1, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1047", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, -4],\n [-2, 4, -2, -2],\n [0, -2, -4, 0],\n [-4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1100", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 1],\n [-2, -1, -3, -2],\n [0, -3, 2, 2],\n [1, -2, 2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -3, 1],\n [4, -4, 1, 3],\n [-3, 0, 1, 0],\n [-2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 0, 3],\n [0, 3, 3, 4],\n [1, -1, -2, 0],\n [1, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2314", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 3],\n [1, -1, 4, 0],\n [1, 4, 2, 0],\n [-3, -1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 0],\n [-2, -4, 4, 4],\n [0, 4, 2, 0],\n [0, 4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -2, 1],\n [2, -2, 0, -2],\n [-2, 0, 4, 1],\n [1, -2, 1, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0, -1],\n [-4, 0, 4, -1],\n [4, -3, -1, 4],\n [-1, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 4, 4, -1],\n [-3, 4, -1, 1],\n [-4, 4, 0, -2],\n [-1, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, 1],\n [0, -2, 0, 0],\n [2, 0, 4, 1],\n [1, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, 4, -2],\n [-1, -1, 0, 1],\n [-2, -1, -2, -3],\n [4, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 0, 1],\n [0, -1, -4, 2],\n [4, 1, -2, -1],\n [0, -4, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 4],\n [-3, 2, 4, 1],\n [0, 2, 1, 0],\n [-3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1874", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, 4, -4],\n [4, 1, -1, 2],\n [4, 0, 0, 3],\n [2, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "439", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 4, -4, 2],\n [-1, -4, 3, -2],\n [-1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2466", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 2, 2],\n [3, -3, -3, -1],\n [4, 4, -1, 4],\n [-2, 0, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, 1, -1],\n [-1, 3, 2, -4],\n [1, 3, -2, 4],\n [-3, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 4, -1],\n [0, -2, -2, -4],\n [4, -2, -4, -1],\n [-1, -4, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -4, 3],\n [3, -1, 3, -1],\n [3, 0, -1, 1],\n [-3, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 3, -1],\n [2, 0, 4, -1],\n [-2, -3, -4, 1],\n [-3, 3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -3, 0],\n [-3, -3, 2, 4],\n [0, 2, -1, -3],\n [-2, -3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2528", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -2, 2],\n [-2, 2, 0, 3],\n [-2, 0, 1, -2],\n [2, 3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, -4, 3],\n [4, -3, 4, 0],\n [3, 2, 2, -1],\n [-3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6962", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, -2, -1],\n [4, 1, -1, -4],\n [3, -3, 3, 1],\n [3, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2582", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 2, 0],\n [2, -3, 4, 0],\n [2, 4, -4, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13414", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -2, 2, 1],\n [0, 2, -2, -2],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, -1, 3],\n [-1, -3, 1, -3],\n [-2, -4, 0, 4],\n [-3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 0, 0],\n [-1, -2, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, -2],\n [-4, -3, 2, 0],\n [2, 2, -4, -4],\n [-2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2203", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 4, -1],\n [-4, -4, -4, -4],\n [-1, -4, -3, -1],\n [2, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1684", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, -1, 1],\n [-1, 2, 4, -2],\n [-2, -3, -4, -4],\n [-2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 1],\n [0, 3, -3, -4],\n [2, 1, 3, 3],\n [-3, 3, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1138", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, -3, 3, 4],\n [2, -1, 4, -1],\n [-1, 4, 3, -1],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[3, 2, 0, -1],\n [-3, 3, 4, -1],\n [-1, 0, -3, 2],\n [0, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, 4, 3, 0],\n [0, 3, -3, -3],\n [0, 0, -3, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, -3, 3, 1],\n [4, -3, -2, 4],\n [4, 1, -2, 0],\n [-3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 0, 0],\n [-4, 2, 0, 4],\n [0, 0, -2, 1],\n [0, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8646", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 0, 0, 0],\n [0, -1, 0, -2],\n [0, 0, 0, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 0],\n [2, -1, 4, 0],\n [0, 4, 0, 0],\n [0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 2, 1],\n [0, -1, -4, -3],\n [2, -2, 0, 3],\n [3, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3508", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, -3, -4],\n [-1, -1, 0, 0],\n [3, -2, 1, -2],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17301", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, -2, 1],\n [4, 4, -1, 0],\n [4, -3, -3, 0],\n [-4, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1577", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, -1, 2, 1],\n [-1, 2, -4, -2],\n [2, -4, -4, 0],\n [1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-858", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 4],\n [0, -4, 1, -4],\n [0, 1, -4, 2],\n [4, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12515", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0, -1],\n [1, 2, 0, -2],\n [0, 0, -2, 2],\n [-1, -2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 3, -2, 1],\n [-3, 4, -3, -2],\n [-3, 4, -4, 0],\n [-4, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 3, 0],\n [-4, 2, 1, 0],\n [-4, -4, 1, 2],\n [-4, 4, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -3, -2],\n [4, -3, 1, -1],\n [2, 1, 4, 4],\n [-1, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -1, -4],\n [2, -1, 3, 4],\n [4, -2, 0, 1],\n [1, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-739", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, -2, 2, -2],\n [0, 2, 4, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -2],\n [-2, -2, -1, -2],\n [-2, -1, 4, 0],\n [-2, -2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4990", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, -3, 0, 3],\n [-1, -3, -2, 4],\n [4, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, -4, -1],\n [4, 3, -2, 0],\n [-4, -2, 2, 2],\n [-1, 0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1946", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -1, -1, -1],\n [0, -1, 1, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 1, -1],\n [2, -3, -1, 0],\n [-1, -1, 4, -3],\n [1, 3, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1200", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 2, 1, 1],\n [-3, 3, 3, 2],\n [4, 3, 4, 4],\n [1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 4, -3, 1],\n [1, 4, 4, 0],\n [0, 4, 3, 2],\n [3, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 0, 0, -1],\n [0, -3, -2, 2],\n [0, -2, -2, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -2],\n [0, 2, 2, -4],\n [0, 2, -3, -2],\n [-2, -4, -2, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 4],\n [0, -4, 2, 0],\n [1, 2, 4, 1],\n [4, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6756", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 2, 0, 3],\n [2, -4, 0, 2],\n [0, 0, 0, 3],\n [3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, -3],\n [-2, -2, 0, 0],\n [0, 0, 1, 2],\n [-3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1434", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, -2, -4],\n [4, 2, -2, 0],\n [-2, -2, -1, 2],\n [-4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1751", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 0],\n [0, -2, 2, 0],\n [-2, 2, -3, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1745", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 4, 4],\n [-1, 4, 1, -3],\n [1, -3, 3, -1],\n [0, 3, 3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-1, 0, 1, 0],\n [0, -3, -4, 0],\n [1, -4, 0, 1],\n [0, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 0],\n [2, 1, -1, 2],\n [-2, -1, -1, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 2, -2],\n [4, 0, 0, -1],\n [4, 3, -1, -1],\n [-3, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 2, 2, 0],\n [2, -4, -1, -1],\n [2, -1, 3, 0],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 4, 2],\n [-2, -3, -2, 0],\n [4, -2, -3, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1449", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 0, 2, 4],\n [0, 0, -2, 0],\n [2, -2, 0, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 2, 2, 0],\n [2, 3, 0, 0],\n [2, 0, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 4, 2, 0],\n [4, 1, -4, 0],\n [2, -4, 3, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-3, 2, 0, -2],\n [2, 2, 0, 0],\n [0, 0, -2, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[2, -3, -2, -4],\n [3, -3, 2, 4],\n [1, -3, -3, 4],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 3],\n [-3, 3, -4, -4],\n [-1, 2, 4, 0],\n [-3, 2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-591", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 0, -2],\n [-2, -4, 2, 0],\n [0, 2, 3, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2241", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, 1, -1],\n [-4, -4, 0, -2],\n [0, 0, -4, 3],\n [0, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "616", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -4],\n [-4, 0, 4, 1],\n [-3, 4, 1, 0],\n [0, -2, 1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 4, 2, 0],\n [2, 2, 0, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -4, -1],\n [0, 1, 0, 0],\n [-4, 0, 1, -1],\n [-1, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -2],\n [0, 2, -2, -1],\n [2, -2, -3, -1],\n [-2, -1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1778", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 1, 0],\n [2, 4, 0, -2],\n [1, 0, -2, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -2, 2],\n [-2, 3, -2, -1],\n [-2, -2, 1, -2],\n [2, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, -3, 4, 0],\n [3, 0, 0, -4],\n [1, -1, -2, 1],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0, -2],\n [-3, -3, 0, -2],\n [0, 0, 2, -2],\n [-2, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-724", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, -1, -2],\n [-1, -2, 1, 2],\n [-1, 1, -2, -2],\n [-2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 0],\n [0, -4, 1, 0],\n [-2, 1, 2, 4],\n [0, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4651", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 1, 2],\n [-1, 0, 2, 3],\n [1, 2, 0, 0],\n [2, 3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, -2],\n [0, -1, -1, -2],\n [-2, -1, -4, 0],\n [-2, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-856", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 3, 3],\n [2, -3, 0, 1],\n [-1, 0, 4, 2],\n [-3, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, -2, 4, -1],\n [4, -2, -4, 0],\n [-3, -1, -3, -3],\n [-2, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, 1, 2, 1],\n [2, -4, 1, -2],\n [-4, 3, -1, 3],\n [-1, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 3, 3],\n [-1, 4, 4, 0],\n [1, 0, -2, 3],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1911", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1, -1],\n [0, 2, -2, -2],\n [1, -2, -2, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2628", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 0, 0, -2],\n [0, 0, 2, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[0, 0, -2, -2],\n [0, -4, -2, 2],\n [-2, -2, 2, -2],\n [-2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 2, 0, -3],\n [2, 4, 2, -2],\n [0, 2, 3, -2],\n [-3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, 2, 3],\n [0, -3, 3, -4],\n [2, -4, 1, 1],\n [0, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, -1],\n [-2, -4, -2, -1],\n [0, -2, -3, -2],\n [-1, -1, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "999", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 3, 3],\n [0, 1, -2, 2],\n [3, -2, -3, -3],\n [3, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -2, 3],\n [-1, 3, 0, -2],\n [-1, -1, 3, 1],\n [2, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -3, -4],\n [-4, -1, -2, 0],\n [4, 3, 4, 0],\n [3, -1, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, -2, 0, 0],\n [1, 4, -4, 1],\n [-4, 1, -3, 3],\n [-2, 1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 3, 2],\n [1, 2, -4, 0],\n [2, -4, -3, 4],\n [-2, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5993", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2, 0],\n [0, -3, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 3, 2],\n [2, -1, 1, 4],\n [-2, 4, -1, 0],\n [2, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3142", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, 1],\n [1, -1, 0, 0],\n [-2, 0, -1, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 0, -4, 1],\n [-3, 0, 1, 3],\n [4, 1, 0, -1],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, -4, -4, 1],\n [-4, 3, 0, 0],\n [-4, 0, 1, 0],\n [1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-980", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -4, 2],\n [-2, -2, 0, 1],\n [-3, -2, 1, -2],\n [0, 4, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "834", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 2, -2],\n [-2, 4, 1, 0],\n [2, 1, 2, 2],\n [-2, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3199", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, -1],\n [-2, 2, 0, 2],\n [2, 0, 2, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -3, -3],\n [-2, -1, 1, 3],\n [2, -1, -3, -3],\n [-1, 1, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, -3, -1, 0],\n [0, -1, 2, 0],\n [2, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 3, -2],\n [-2, -1, 2, 0],\n [3, 2, 2, 3],\n [-2, 0, 3, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -4, -1],\n [0, -4, 3, -3],\n [-4, -3, 0, 4],\n [4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7941", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, -2, -4, 1],\n [-2, -4, -1, -4],\n [-4, -3, 3, -3],\n [-3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -3, 3],\n [-2, 1, 0, -1],\n [-3, 0, -2, 3],\n [3, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-3, -2, 0, 0],\n [-2, 1, -4, -2],\n [0, -4, 3, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-2, -1, -3, -3],\n [-3, -4, -3, 1],\n [-2, 0, -4, 3],\n [-1, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 2],\n [-1, 2, -2, 2],\n [-1, 3, 4, 2],\n [3, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5556", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, 4, 0, 0],\n [0, 0, 1, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "867", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 0, -2],\n [1, 0, -4, -1],\n [0, -4, 2, 1],\n [-2, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -1],\n [0, 4, -2, 0],\n [0, -2, 1, 0],\n [-1, 0, 0, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 2],\n [0, -2, 0, 4],\n [0, 0, -3, 1],\n [2, 4, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1, -3],\n [-4, -1, 2, 4],\n [4, -4, 0, 2],\n [2, 1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 3, -4],\n [2, 1, -4, -1],\n [0, 3, -1, -2],\n [-3, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 0],\n [4, -2, -4, -3],\n [1, 0, -4, -4],\n [-1, -1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3223", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 4, 2],\n [2, 2, -3, -3],\n [1, 2, -2, -1],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 1, -4, -2],\n [1, -3, 0, -4],\n [-4, 0, 3, 1],\n [-2, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-880", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, -2, 1],\n [-1, -3, 2, -1],\n [3, 3, 2, 4],\n [-1, 2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, 2, 2, -2],\n [2, 1, -1, 2],\n [2, -1, 2, 4],\n [-2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-3, 0, 0, 0],\n [0, 4, 2, 0],\n [0, 2, -1, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, -2, 2],\n [-2, -2, 4, -3],\n [-1, 1, -2, 2],\n [2, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 3],\n [0, 1, 3, -4],\n [0, -1, -1, -3],\n [-4, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 4, -3, -1],\n [4, 0, -2, 1],\n [-2, 0, -2, 1],\n [0, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2208", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 2, 0, -3],\n [2, 3, 0, 0],\n [0, 0, 2, 0],\n [-3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[3, 2, 3, 1],\n [-4, 4, 1, -4],\n [-4, 3, 1, 3],\n [3, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, -3, 4],\n [-2, -3, -1, 0],\n [-3, -4, 0, 4],\n [0, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1315", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, 0],\n [-2, -4, 0, -1],\n [0, 0, -3, -4],\n [0, -1, -4, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 4, 0],\n [0, 4, 0, 2],\n [4, 0, 4, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6121", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, -1, 4, 2],\n [2, -2, -1, 2],\n [0, -2, -4, 2],\n [1, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 3, 2, -4],\n [-3, -3, -1, -2],\n [-4, -3, 4, -4],\n [4, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -2],\n [-1, -1, -3, 0],\n [0, 0, -4, 1],\n [-3, 2, -1, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -2],\n [-1, -1, 0, 0],\n [0, 0, -2, -3],\n [-2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1734", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 3, -4, 0],\n [1, -3, 2, 2],\n [-4, -1, -1, 0],\n [-4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1351", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 1, 1],\n [-3, 4, -1, 2],\n [1, -2, 3, 2],\n [4, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 0, -3, -2],\n [3, 0, -1, 0],\n [1, 2, 4, -4],\n [-1, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-572", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, -4],\n [-2, -1, -3, -1],\n [1, -3, -3, 1],\n [-4, -1, 1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -1, 1, -2],\n [3, -1, -2, -1],\n [1, 2, 2, -1],\n [3, 2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -1, -1],\n [-1, 1, -1, 2],\n [2, 0, 0, 3],\n [2, 2, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3, -1],\n [0, 2, 2, -2],\n [-3, 2, 3, 4],\n [-1, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -2, 1],\n [4, 3, -1, -3],\n [3, 3, 1, 3],\n [4, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, 3, -1],\n [3, 2, -3, 0],\n [-1, -2, -4, 0],\n [3, 4, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1087", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, -3, -4],\n [-1, 4, -1, -1],\n [2, 4, 2, -4],\n [-4, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1814", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, 0, 3],\n [-2, 4, 2, 4],\n [-4, 0, -2, -1],\n [-1, 2, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1836", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, -1, 0],\n [-2, 1, 0, 0],\n [-1, 0, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 0],\n [4, 3, 0, 3],\n [-2, 0, 4, -1],\n [0, 3, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -4, 0],\n [-1, -1, 2, 4],\n [3, 3, 0, 1],\n [-3, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 1, 0],\n [-1, -3, 0, 0],\n [2, -4, -1, 0],\n [3, 3, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "855", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, -4, -3, -3],\n [4, -1, -2, -4],\n [-3, 1, 4, 0],\n [-1, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-519", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[3, -1, 3, 1],\n [0, 2, 1, -2],\n [0, 4, 2, -1],\n [2, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 3, 1, 3],\n [2, -3, 1, 4],\n [1, -1, 2, -2],\n [0, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, -3, 0],\n [2, -2, 0, -1],\n [-3, 0, -4, 2],\n [0, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, 0],\n [-2, 1, 0, -2],\n [-2, 0, -4, 1],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2799", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 0, 2],\n [-2, -1, -4, -2],\n [4, 0, 3, -3],\n [-2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5425", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, -2, -2, 0],\n [-2, 1, -1, -3],\n [-2, -1, 4, -2],\n [0, -3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [0, 1, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1295", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, 3, 4, 3],\n [1, -4, 2, -4],\n [2, -3, 3, -3],\n [-2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 4, 1],\n [1, -2, 0, 2],\n [-2, -3, 0, -2],\n [0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -4],\n [0, -3, -3, -2],\n [-2, -3, -2, 0],\n [-4, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1403", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1, 4],\n [-3, 3, 3, -1],\n [1, 1, 0, -4],\n [-2, 2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, 3, 1, -4],\n [0, 1, 4, -1],\n [0, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 4, 0],\n [-3, 0, 0, -4],\n [-2, 0, 4, -4],\n [3, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "986", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 0, 2],\n [2, 2, 1, 3],\n [4, -3, 2, -3],\n [1, -3, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 0, 0],\n [2, 0, 0, 4],\n [0, 0, -3, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7029", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 2, -4],\n [3, -1, 0, 1],\n [-2, 0, 0, -4],\n [-2, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -1, 4],\n [2, 0, 2, 4],\n [1, -4, 1, -4],\n [-1, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -1, 0],\n [2, 3, 0, -1],\n [-1, 0, -3, 0],\n [0, -1, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-2, -2, 4, 4],\n [-2, -4, 2, 0],\n [4, 2, -3, -4],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1932", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 3, -4, 4],\n [4, 4, -2, -1],\n [0, 1, 4, -1],\n [1, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, -2, 4],\n [3, -1, 2, 2],\n [-2, 2, -4, -2],\n [4, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3096", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -4],\n [1, 1, -1, 2],\n [2, 4, -4, 0],\n [-2, 2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -3, -3],\n [-4, 3, 1, 1],\n [4, 0, -1, 1],\n [3, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-791", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, 3, 2, -2],\n [-3, -2, -1, -1],\n [1, 2, -1, 1],\n [4, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 3, -4],\n [-3, -2, -2, 3],\n [0, 3, 1, -3],\n [-1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 3, 1, 2],\n [1, 0, 0, -2],\n [2, 0, 2, -3],\n [4, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, 2, 3],\n [-1, -2, 2, -3],\n [0, 2, -4, -1],\n [-3, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "607", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 3, -1],\n [-4, 2, -1, 0],\n [3, -1, 2, -2],\n [-1, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8641", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 4, 4],\n [-3, 2, -4, -2],\n [1, 4, -3, 2],\n [-1, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 4, -1],\n [-1, 4, 3, -3],\n [3, -4, 4, 4],\n [3, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12518", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[0, -1, -2, 2],\n [-1, -2, 2, -4],\n [-2, 2, -3, 4],\n [2, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1536", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -4, 1],\n [-2, 3, 0, -3],\n [-4, 0, 4, 1],\n [1, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 2, -4],\n [-3, -3, -1, -2],\n [-2, 0, -2, 2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -2, -3],\n [-4, -4, -3, 4],\n [0, 4, 3, 1],\n [-4, 0, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7884", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 0, -1],\n [2, -1, 2, 2],\n [0, 2, 3, -3],\n [-1, 2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2844", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, -4, 4, -4],\n [0, 2, 3, -3],\n [-1, -3, -1, 1],\n [1, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, -3, -2, 0],\n [3, 1, -2, 1],\n [2, 1, 1, -4],\n [-2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, 4, -3, 4],\n [-2, 1, -1, -4],\n [4, 1, 3, -3],\n [2, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 1],\n [0, -3, -2, 0],\n [-1, -2, -2, 0],\n [1, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -1, -3],\n [4, -1, 4, 0],\n [2, 0, -3, 1],\n [2, 1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 4, 0],\n [2, 2, 0, -3],\n [0, 2, 2, -1],\n [-4, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2165", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, -3, 2, 0],\n [2, 4, -1, 0],\n [4, -1, 0, 0],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, 1, 1],\n [0, 0, 4, 3],\n [-1, 2, 3, 4],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -2, -3],\n [1, 2, 0, -4],\n [-2, -2, -1, 1],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 0, 0],\n [4, 3, -1, -1],\n [0, -1, 4, -2],\n [0, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -2, 3],\n [3, -2, -3, -3],\n [4, 2, 1, 2],\n [3, -4, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9298", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, 0],\n [0, 4, 0, -2],\n [-2, 0, -4, -2],\n [0, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-421", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 4, -4],\n [3, 1, -4, -1],\n [0, 2, 3, 4],\n [1, 4, -1, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, 2],\n [2, 1, -2, 0],\n [2, -2, 1, -2],\n [2, 0, -2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 2, 0],\n [4, 4, -3, -1],\n [3, -4, 0, 3],\n [-3, -3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26230", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 2, -3],\n [1, -3, -2, 0],\n [2, -2, -3, 0],\n [-3, 0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -4, 3],\n [-4, 0, -3, 1],\n [4, 0, -1, -3],\n [-2, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2, 2],\n [1, -4, -1, 1],\n [1, -2, 1, 1],\n [4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -2, 0, 0],\n [-2, 4, 0, -2],\n [0, 0, -3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, -4, 4],\n [4, 0, -1, 4],\n [4, -2, 0, -2],\n [-3, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-3, 4, -2, -3],\n [-2, -3, 3, 0],\n [-2, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, -4, -4, -4],\n [3, 3, 2, 1],\n [-1, -4, 4, -4],\n [-1, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, -4, 0],\n [-1, 3, -3, 3],\n [-4, -1, -2, 0],\n [0, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, -4, 2],\n [-4, -3, 2, -4],\n [-2, 1, 1, 1],\n [-3, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, 2, 0, 3],\n [1, 0, -1, 2],\n [-1, 0, 0, -4],\n [-4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-3, 1, -4, 1],\n [0, 1, 0, 2],\n [-4, -2, 1, -4],\n [2, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -4, 0],\n [3, 1, 2, 3],\n [1, 1, 1, 0],\n [3, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1892", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -1],\n [2, 0, -1, -4],\n [1, 1, 2, -4],\n [-1, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3258", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1, 2],\n [-2, 1, -1, -2],\n [-2, -3, -2, -4],\n [-2, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 0, -4],\n [2, 0, -3, -4],\n [2, -4, -2, 1],\n [1, 2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 3, 0],\n [-2, 3, 3, -1],\n [3, 0, 0, -2],\n [2, 4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 0, -4, -1],\n [-4, -3, -3, -1],\n [3, -3, 4, 4],\n [-3, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -4, -4],\n [-3, 2, 1, -3],\n [-1, -3, -4, -2],\n [-1, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2330", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, 4, 2, 2],\n [4, 3, 2, 0],\n [2, 2, 4, 1],\n [2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, 2, -2],\n [-1, 2, -1, 1],\n [2, -1, -1, 2],\n [-2, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 2, 0],\n [3, 1, 2, 0],\n [2, 2, 4, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6337", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, -4],\n [2, 3, -4, 2],\n [-1, 1, 4, 0],\n [3, 0, -3, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, -2],\n [2, -4, -4, 4],\n [1, 0, 1, 1],\n [-4, 0, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15369", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -2],\n [-1, 2, 1, 3],\n [4, 1, 2, -1],\n [-3, 4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, -1],\n [0, -4, -2, -2],\n [0, -2, -1, 1],\n [-1, -2, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-1, 3, 1, -2],\n [4, 3, 4, 0],\n [-2, -1, 0, 4],\n [4, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -3, 1],\n [0, -3, 2, -4],\n [-3, 2, -4, 2],\n [1, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16988", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 0],\n [1, 0, -1, 0],\n [-1, -1, 2, 1],\n [0, 0, 1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, -3, 1],\n [0, 3, -2, 1],\n [1, -2, 2, -1],\n [0, 4, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2, -3],\n [2, 3, 2, -2],\n [2, 2, -4, 0],\n [-3, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -1, 2],\n [-2, -2, -3, 1],\n [1, -4, 2, -1],\n [-2, 3, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, -2],\n [0, -3, -2, 0],\n [-1, -2, -4, 2],\n [-2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-259", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 3, -4],\n [-1, 4, -1, 3],\n [2, -2, 2, 2],\n [-2, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3751", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 1, 0, -4],\n [1, 2, 0, 0],\n [0, 0, -3, 0],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 0, 2],\n [-3, 1, 3, -2],\n [0, 3, 2, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 0],\n [1, 3, 2, 0],\n [0, 2, 1, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, -3, 2],\n [-2, 3, 4, 3],\n [1, 0, -2, -2],\n [2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 3, 0],\n [1, 1, -4, -2],\n [1, 4, 1, 1],\n [-4, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -3, 0, -1],\n [-3, 2, -4, -1],\n [0, -4, 2, 2],\n [-1, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 4, 4],\n [1, -3, -3, -1],\n [4, -2, 1, -3],\n [-4, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, 0, -4],\n [1, 3, -2, -3],\n [0, -2, 1, 2],\n [-4, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13107", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -4, -4],\n [-1, -3, -4, 4],\n [-2, -4, -3, 3],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22499", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 0, 3],\n [2, 2, 0, 0],\n [0, 0, 1, 0],\n [3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 3, -3],\n [4, -1, 1, -2],\n [-2, -2, -3, 3],\n [4, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7377", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 2, 0],\n [2, -1, 2, -2],\n [2, 2, -2, -4],\n [0, -2, -4, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "868", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 4],\n [3, -4, 2, 2],\n [3, 0, 4, 4],\n [3, 1, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9562", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, -1, -3],\n [-1, 0, 0, 0],\n [-1, -4, 3, -2],\n [-3, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-3, 4, 4, 4],\n [-1, -2, 1, -2],\n [4, -2, -3, 3],\n [1, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-587", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 0, 0, 4],\n [0, 1, 0, 0],\n [0, 0, 3, 4],\n [4, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -4, 0],\n [-3, -3, 2, -2],\n [-4, 2, -1, 2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -3, -1],\n [-1, 3, 1, 3],\n [2, -1, -3, 4],\n [-3, -4, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1047", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, 1, -1, -1],\n [1, -4, -4, -3],\n [-1, -4, -1, 1],\n [-1, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, 1, 0],\n [-4, -3, 1, 3],\n [1, 1, -1, 0],\n [0, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -3, -4],\n [0, -1, 0, 0],\n [-3, 0, 1, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-3, -1, -3, 0],\n [-3, 4, 1, 3],\n [4, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "596", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -4, 3, -3],\n [1, 4, -2, -3],\n [0, 4, 1, 3],\n [3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 2, 0, -2],\n [2, 1, -1, 0],\n [0, -1, 3, 2],\n [-2, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -1, 3, 0],\n [0, 3, 3, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, -3, -2, 3],\n [-2, -3, 1, -2],\n [-4, -2, 1, -2],\n [4, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, 4, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, -2, -3, -2],\n [-2, 1, 0, 2],\n [-3, 0, -2, 2],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -2],\n [-2, 1, 1, 3],\n [2, 1, -1, -2],\n [-2, 3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, 0, -2, -4],\n [0, 0, 2, 0],\n [-2, 2, 1, -4],\n [-4, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 1, -2],\n [-1, -2, -4, 4],\n [1, -4, -3, -1],\n [-2, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8724", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 4],\n [2, 1, -2, 0],\n [0, -2, -3, 2],\n [4, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, 2, 0],\n [-2, -3, -1, -2],\n [2, -1, -1, -4],\n [0, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5477", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 2, 4, 0],\n [2, -2, 0, -2],\n [4, 0, 1, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 2, 2, 4],\n [2, -4, -2, 0],\n [2, -2, -3, -2],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -1, 3],\n [-4, 0, -1, 1],\n [2, 4, -4, -1],\n [1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "841", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 3, 3],\n [1, 4, -2, 1],\n [0, 3, -1, -1],\n [0, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2781", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -1],\n [0, 0, -2, 0],\n [0, -2, 3, 2],\n [-1, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1441", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 4, 0],\n [3, 0, 2, 2],\n [4, -2, -4, -3],\n [1, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, -2, 2],\n [-3, 0, -3, 2],\n [3, 3, 3, 4],\n [-4, -4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "989", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, 0, 0, -1],\n [0, -4, 1, 2],\n [3, -3, 2, 1],\n [4, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 0],\n [-1, -3, -2, 2],\n [2, -2, -1, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3314", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -1, 2],\n [-2, 3, -2, -1],\n [-1, -2, -4, 0],\n [2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "772", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -3, -2],\n [1, -4, -3, -3],\n [-4, -2, 2, -4],\n [2, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8149", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, 0],\n [2, 3, 0, -2],\n [2, 0, -1, -3],\n [0, -2, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2870", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[3, -2, 0, -1],\n [-2, -2, 0, -2],\n [0, 0, -3, -4],\n [-1, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -4, 0],\n [-2, 4, 0, 0],\n [-4, 0, -3, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3834", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, 1],\n [4, 0, 1, 3],\n [-2, -3, -2, 4],\n [1, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "569", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-1, 4, 0, 2],\n [4, -3, -2, -2],\n [0, -2, -4, -1],\n [2, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, 4, -2, 2],\n [4, -2, 0, 0],\n [-2, 0, -2, 1],\n [2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 0, 2],\n [4, 0, 2, 4],\n [-4, -1, -4, 3],\n [-2, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 0, 0],\n [3, 0, 1, 0],\n [0, 1, 1, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1, 3],\n [0, 0, 2, -2],\n [1, 2, -1, -4],\n [3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, 4],\n [0, 0, 0, 0],\n [-2, 0, 4, -2],\n [4, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -1, -4],\n [-2, 4, 0, 1],\n [-1, -4, 0, 0],\n [0, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 2, 4, 2],\n [-3, 1, 4, 2],\n [-3, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7143", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, -3, 0],\n [-3, -4, 0, -3],\n [2, 3, -3, 2],\n [-1, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8466", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -4, 4],\n [-2, 0, 4, 0],\n [4, 3, 2, -4],\n [-1, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 2],\n [0, 0, -3, -2],\n [0, -3, -1, -1],\n [2, -2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7663", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 0],\n [0, 2, 3, 1],\n [-1, 3, 3, -2],\n [0, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1665", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 1],\n [0, -3, 1, 0],\n [0, 1, -3, 2],\n [1, 0, 2, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, -3, 0],\n [-4, 1, 4, 4],\n [2, 2, 3, -3],\n [1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "922", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 3, -2],\n [0, -4, -2, 2],\n [3, -2, 4, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8011", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 4, -2, 1],\n [2, -2, -4, 3],\n [2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -4, 2],\n [-2, 0, 2, 0],\n [-4, 2, -3, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6099", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 0, 3],\n [4, 2, -2, -1],\n [0, -2, -3, -2],\n [3, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8196", "dataset": "MATH"}
+{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, 1, -3, 0],\n [1, -3, 1, 1],\n [-3, 1, 3, -3],\n [0, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[0, 3, -4, -3],\n [2, 3, -2, 3],\n [-4, 4, -3, -3],\n [-1, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -3, -2],\n [-2, 0, 0, -1],\n [3, 1, 1, -4],\n [1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1764", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 2, 2, 2],\n [0, 2, -4, -2],\n [0, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
+{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-4, -2, 1, -3],\n [-2, 1, 0, 2],\n [1, 0, 1, 0],\n [-3, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 3],\n [4, 3, -2, 4],\n [-2, 3, 4, 2],\n [-1, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -4, -1],\n [3, 0, -3, -2],\n [-4, -3, -4, -3],\n [-2, -4, 4, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-488", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 3, 2],\n [-1, 2, 1, -2],\n [4, 4, 0, 3],\n [2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4796", "dataset": "MATH"}
+{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 1, 4],\n [2, 2, -1, -2],\n [3, 2, -1, -1],\n [-4, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
+{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -1, 2],\n [-3, 3, -4, 2],\n [-1, -4, -1, -2],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2965", "dataset": "MATH"}
+{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 1, -2],\n [-2, -1, 4, 3],\n [-4, -4, 2, -2],\n [2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
+{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 4, 1],\n [1, 3, 0, 4],\n [0, -3, 1, 4],\n [-2, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-979", "dataset": "MATH"}