Measuring Massive Multitask Language Understanding

[
  {
    "question": "Find the degree for the given field extension Q(sqrt(2), sqrt(3), sqrt(18)) over Q.",
    "subject": "abstract_algebra",
    "choices": [
      "0",
      "4",
      "2",
      "6"
    ],
    "answer": 1
  },
  {
    "question": "Let p = (1, 2, 5, 4)(2, 3) in S_5 . Find the index of <p> in S_5.",
    "subject": "abstract_algebra",
    "choices": [
      "8",
      "2",
      "24",
      "120"
    ],
    "answer": 2
  },
  {
    "question": "Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^5 + 3x^3 + x^2 + 2x in Z_5",
    "subject": "abstract_algebra",
    "choices": [
      "0",
      "1",
      "0,1",
      "0,4"
    ],
    "answer": 3
  },
  {
    "question": "Statement 1 | A factor group of a non-Abelian group is non-Abelian. Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.",
    "subject": "abstract_algebra",
    "choices": [
      "True, True",
      "False, False",
      "True, False",
      "False, True"
    ],
    "answer": 1
  },
  {
    "question": "Find the product of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].",
    "subject": "abstract_algebra",
    "choices": [
      "2x^2 + 5",
      "6x^2 + 4x + 6",
      "0",
      "x^2 + 1"
    ],
    "answer": 1
  }
]