sample_id stringlengths 18 47 | sentence stringlengths 4 4.5k | prompt stringlengths 185 4.93k | correct_name stringlengths 1 819 | choices dict | answer stringclasses 4
values | positive_answer0 stringlengths 4 822 | negative_answer1 stringlengths 4 884 | negative_answer2 stringlengths 4 749 | negative_answer3 stringlengths 4 648 | task stringclasses 57
values | demonstrations stringlengths 1.92k 20.5k | concatenated_prompt stringlengths 2.25k 23.5k | retrieved_examples listlengths 8 8 | num_demonstrations int64 8 8 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
mmlu-abstract-algebra.val.81 | Statement 1 | Every nonzero free abelian group has an infinite number of bases. Statement 2 | Every free abelian group of rank at least 2 has an infinite number of bases. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | Every nonzero free abelian group has an infinite number of bases. Statement 2 | Every free abelian group of rank at least 2 has an infinite number of bases.\nA) True, False\nB) True, True\nC) False, False\nD) False, True\nPrint only a single choice... | False, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, False",
"True, True",
"False, False",
"False, True"
]
} | D | D. False, True | A. True, False | B. True, True | C. False, False | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | For any two groups G and G\', there exists a homomorphism of G into G\'. Statement 2 | Every homomorphism is a one-to-one map.\nA) True, True\nB) False, True\nC) False, False\nD) True, False\nPrint only a single choice from "A" or "B" or... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | For any two groups G and G\', there exists a homomorphism of G into G\'. Statement 2 | Every homomorphism is a one-to-one map.\nA... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | For any two groups G and G\\', there exists a homomorphism of G into G\\'. Statement 2 | Every homomorphism is a one-to-one map.\\nA) True, True\\nB) False, True\\nC) False, False\\nD) Tr... | 8 |
mmlu-abstract-algebra.val.82 | Statement 1 | For every positive integer n there is a cyclic group of order n. Statement 2 | Every finite cyclic group contains an element of every order that divides the order of the group. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | For every positive integer n there is a cyclic group of order n. Statement 2 | Every finite cyclic group contains an element of every order that divides the order of the group.\nA) True, False\nB) False, False\nC) True, True\nD) False, True\nPrint ... | True, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, False",
"False, False",
"True, True",
"False, True"
]
} | C | C. True, True | A. True, False | B. False, False | D. False, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | The homomorphic image of a cyclic group is cyclic. Statement 2 | The homomorphic image of an Abelian group is Abelian.\nA) True, False\nB) True, True\nC) False, True\nD) False, False\nPrint only a single choice from "A" or "B" or "C" or ... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | The homomorphic image of a cyclic group is cyclic. Statement 2 | The homomorphic image of an Abelian group is Abelian.\nA) True, ... | [
{
"retrieved_answer": "B",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | The homomorphic image of a cyclic group is cyclic. Statement 2 | The homomorphic image of an Abelian group is Abelian.\\nA) True, False\\nB) True, True\\nC) False, True\\nD) False, False\... | 8 |
mmlu-abstract-algebra.val.83 | Statement 1 | If a group has an element of order 10, then it has elements of orders 1, 2, and 5. Statement 2 | If a group has an element of order 2 and an element of order 3, then it has an element of order 6. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | If a group has an element of order 10, then it has elements of orders 1, 2, and 5. Statement 2 | If a group has an element of order 2 and an element of order 3, then it has an element of order 6.\nA) True, False\nB) True, True\nC) False, True\nD) F... | True, False | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, False",
"True, True",
"False, True",
"False, False"
]
} | A | A. True, False | B. True, True | C. False, True | D. False, False | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every solvable group is of prime-power order. Statement 2 | Every group of prime-power order is solvable.\nA) False, False\nB) False, True\nC) True, True\nD) True, False\nPrint only a single choice from "A" or "B" or "C" or "D" without e... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every solvable group is of prime-power order. Statement 2 | Every group of prime-power order is solvable.\nA) False, False\nB) Fa... | [
{
"retrieved_answer": "B",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | Every solvable group is of prime-power order. Statement 2 | Every group of prime-power order is solvable.\\nA) False, False\\nB) False, True\\nC) True, True\\nD) True, False\\nPrint only ... | 8 |
mmlu-abstract-algebra.val.84 | Let A and B be sets, f: A -> B and g: B -> A be functions such that for all a \in A, g(f(a)) = a. Statement 1 | The function g must necessarily be injective. Statement 2 | The function g must necessarily be surjective. | ['Please answer with the letter of the correct answer.\n\nLet A and B be sets, f: A -> B and g: B -> A be functions such that for all a \\in A, g(f(a)) = a. Statement 1 | The function g must necessarily be injective. Statement 2 | The function g must necessarily be surjective.\nA) False, True\nB) True, True\nC) False, ... | False, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"False, True",
"True, True",
"False, False",
"True, False"
]
} | A | A. False, True | B. True, True | C. False, False | D. True, False | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1| RoBERTa pretrains on a corpus that is approximate 10x larger than the corpus BERT pretrained on. Statement 2| ResNeXts in 2018 usually used tanh activation functions.\nA) True, True\nB) True, False\nC) False, False\nD) False, True\nPrint o... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1| RoBERTa pretrains on a corpus that is approximate 10x larger than the corpus BERT pretrained on. Statement 2| ResNeXts in 2018 usu... | [
{
"retrieved_answer": "B",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1| RoBERTa pretrains on a corpus that is approximate 10x larger than the corpus BERT pretrained on. Statement 2| ResNeXts in 2018 usually used tanh activation functions.\\nA) True, True\\nB) ... | 8 |
mmlu-abstract-algebra.val.85 | Statement 1 | A homomorphism is one to one if and only if the kernel consists of the identity element alone. Statement 2 | The image of a group of 6 elements under some homomorphism may have 4 elements. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | A homomorphism is one to one if and only if the kernel consists of the identity element alone. Statement 2 | The image of a group of 6 elements under some homomorphism may have 4 elements.\nA) True, True\nB) False, False\nC) False, True\nD) True, F... | True, False | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, True",
"False, False",
"False, True",
"True, False"
]
} | D | D. True, False | A. True, True | B. False, False | C. False, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | If G, H and K are groups of order 4, at least two of them are isomorphic. Statement 2 | If Z_r + Z_s is isomorphic to a subgroup Z_m + Z_n, then r divides m and s divides n.\nA) True, False\nB) False, True\nC) False, False\nD) True, True\... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | If G, H and K are groups of order 4, at least two of them are isomorphic. Statement 2 | If Z_r + Z_s is isomorphic to a subgroup ... | [
{
"retrieved_answer": "A",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | If G, H and K are groups of order 4, at least two of them are isomorphic. Statement 2 | If Z_r + Z_s is isomorphic to a subgroup Z_m + Z_n, then r divides m and s divides n.\\nA) True, Fa... | 8 |
mmlu-abstract-algebra.val.86 | Statement 1 | If H and K are subgroups of a group G, then |HK| = |H||K|/|H intersection K|. Statement 2 | A group of order 2p where p is an odd prime is cyclic or isomorphic to D_p. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | If H and K are subgroups of a group G, then |HK| = |H||K|/|H intersection K|. Statement 2 | A group of order 2p where p is an odd prime is cyclic or isomorphic to D_p.\nA) True, False\nB) False, False\nC) False, True\nD) True, True\nPrint only a si... | True, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, False",
"False, False",
"False, True",
"True, True"
]
} | D | D. True, True | A. True, False | B. False, False | C. False, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1| Every group of order p^2 where p is prime is Abelian. Statement 2 | For a fixed prime p a Sylow p-subgroup of a group G is a normal subgroup of G if and only if it is the only Sylow p-subgroup of G.\nA) False, False\nB) True, True\nC) True... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1| Every group of order p^2 where p is prime is Abelian. Statement 2 | For a fixed prime p a Sylow p-subgroup of a group G is a norma... | [
{
"retrieved_answer": "B",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1| Every group of order p^2 where p is prime is Abelian. Statement 2 | For a fixed prime p a Sylow p-subgroup of a group G is a normal subgroup of G if and only if it is the only Sylow p-subg... | 8 |
mmlu-abstract-algebra.val.87 | For T: Z x Z -> Z where T(1, 0) = 3 and T(0, 1) = -5, find T(-3,2). | ['Please answer with the letter of the correct answer.\n\nFor T: Z x Z -> Z where T(1, 0) = 3 and T(0, 1) = -5, find T(-3,2).\nA) -10\nB) 10\nC) 19\nD) -19\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | -19 | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"-10",
"10",
"19",
"-19"
]
} | D | D. -19 | A. -10 | B. 10 | C. 19 | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nFor the complex number z = a + bi, it is known that a and b are positive integers, and that z^3 + z^2 + z is a real number. Find the smallest possible value for b.\nA) 10\nB) 1\nC) 6\nD) 11\nPrint only a single choice from "A" or "B" or "C" or "D" wit... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nFor the complex number z = a + bi, it is known that a and b are positive integers, and that z^3 + z^2 + z is a real number. Find the smallest p... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nFor the complex number z = a + bi, it is known that a and b are positive integers, and that z^3 + z^2 + z is a real number. Find the smallest possible value for b.\\nA) 10\\nB) 1\\nC) 6\\nD) 11\\nPrint... | 8 |
mmlu-abstract-algebra.val.88 | Compute the product in the given ring. (12)(16) in Z_24 | ['Please answer with the letter of the correct answer.\n\nCompute the product in the given ring. (12)(16) in Z_24\nA) 1\nB) 6\nC) 4\nD) 0\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | 0 | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1",
"6",
"4",
"0"
]
} | D | D. 0 | A. 1 | B. 6 | C. 4 | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nFind the generator for the finite field Z_11.\nA) 1\nB) 4\nC) 3\nD) 2\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:']
Solution:
D
Question:
['Please answer with the letter of the correct answer.\n\nCompute the ... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nFind the generator for the finite field Z_11.\nA) 1\nB) 4\nC) 3\nD) 2\nPrint only a single choice from "A" or "B" or "C" or "D" without explan... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nFind the generator for the finite field Z_11.\\nA) 1\\nB) 4\\nC) 3\\nD) 2\\nPrint only a single choice from \"A\" or \"B\" or \"C\" or \"D\" without explanation. Answer:']",
"score": 0.70347136259... | 8 |
mmlu-abstract-algebra.val.89 | Statement 1 | Every permutation is a one-to-one function. Statement 2 | Every function is a permutation if and only if it is one to one. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | Every permutation is a one-to-one function. Statement 2 | Every function is a permutation if and only if it is one to one.\nA) False, True\nB) True, False\nC) False, False\nD) True, True\nPrint only a single choice from "A" or "B" or "C" or "D" wi... | True, False | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"False, True",
"True, False",
"False, False",
"True, True"
]
} | B | B. True, False | A. False, True | C. False, False | D. True, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nLet A and B be sets, f: A -> B and g: B -> A be functions such that for all a \\in A, g(f(a)) = a. Statement 1 | The function f must necessarily be injective. Statement 2 | The function f must necessarily be surjective.\nA) True, True\nB) False, True\n... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nLet A and B be sets, f: A -> B and g: B -> A be functions such that for all a \\in A, g(f(a)) = a. Statement 1 | The function f must necessaril... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nLet A and B be sets, f: A -> B and g: B -> A be functions such that for all a \\\\in A, g(f(a)) = a. Statement 1 | The function f must necessarily be injective. Statement 2 | The function f must necess... | 8 |
mmlu-abstract-algebra.val.9 | Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^3 + 2x + 2 in Z_7 | ['Please answer with the letter of the correct answer.\n\nFind all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^3 + 2x + 2 in Z_7\nA) 1\nB) 2,3\nC) 2\nD) 6\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | 2,3 | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"1",
"2,3",
"2",
"6"
]
} | B | B. 2,3 | A. 1 | C. 2 | D. 6 | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nFind the sum of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].\nA) x^2 + 1\nB) 0\nC) 2x^2 + 5\nD) 6x^2 + 4x + 6\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nFind the sum of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].\nA) x^2 + 1\nB) 0\nC) 2x^2 +... | [
{
"retrieved_answer": "C",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nFind the sum of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].\\nA) x^2 + 1\\nB) 0\\nC) 2x^2 + 5\\nD) 6x^2 + 4x + 6\\nPrint only a single choice fro... | 8 |
mmlu-abstract-algebra.val.90 | Statement 1 | If a finite group has order n then the group contains a subgroup of order d for every positive divisor d of n. Statement 2 | If a belongs to a finite group then |a| divides |G|. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | If a finite group has order n then the group contains a subgroup of order d for every positive divisor d of n. Statement 2 | If a belongs to a finite group then |a| divides |G|.\nA) False, True\nB) True, False\nC) False, False\nD) True, True\nPrint... | False, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"False, True",
"True, False",
"False, False",
"True, True"
]
} | A | A. False, True | B. True, False | C. False, False | D. True, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.\nA) True, True\nB) False, True\nC) False, False\nD) True, False\nPrint only a single choice from "A" or "B"... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.\\nA) True, True\\nB) False, True\\nC) False, False\\nD) T... | 8 |
mmlu-abstract-algebra.val.91 | Find all cosets of the subgroup 4Z of 2Z. | ['Please answer with the letter of the correct answer.\n\nFind all cosets of the subgroup 4Z of 2Z.\nA) 2Z\nB) Z\nC) 4Z\nD) 4Z, 2 + 4Z\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | 4Z, 2 + 4Z | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2Z",
"Z",
"4Z",
"4Z, 2 + 4Z"
]
} | D | D. 4Z, 2 + 4Z | A. 2Z | B. Z | C. 4Z | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nWhich of the following is NOT a group?\nA) The complex numbers under addition\nB) The nonzero real numbers under multiplication\nC) The nonzero integers under multiplication\nD) The integers under addition\nPrint only a single choice from "A" or "B" o... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nWhich of the following is NOT a group?\nA) The complex numbers under addition\nB) The nonzero real numbers under multiplication\nC) The nonzero... | [
{
"retrieved_answer": "C",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nWhich of the following is NOT a group?\\nA) The complex numbers under addition\\nB) The nonzero real numbers under multiplication\\nC) The nonzero integers under multiplication\\nD) The integers under ... | 8 |
mmlu-abstract-algebra.val.92 | Which of the following statements is true? | ['Please answer with the letter of the correct answer.\n\nWhich of the following statements is true?\nA) Number of relations form A = {x, y, z} to B= (1, 2), is 64.\nB) Properties of a relation being symmetric and being un-symmetric are negative of each other.\nC) Every equivalence relation is a partial-ordering relati... | Number of relations form A = {x, y, z} to B= (1, 2), is 64. | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"Number of relations form A = {x, y, z} to B= (1, 2), is 64.",
"Properties of a relation being symmetric and being un-symmetric are negative of each other.",
"Every equivalence relation is a partial-ordering relation.",
"Empty relation _... | A | A. Number of relations form A = {x, y, z} to B= (1, 2), is 64. | B. Properties of a relation being symmetric and being un-symmetric are negative of each other. | C. Every equivalence relation is a partial-ordering relation. | D. Empty relation _ is reflexive | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nA syllogism that is formally invalid\nA) cannot be materially true\nB) both B and C\nC) might be materially untrue\nD) might be materially true\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:']
Solution:
B
Questi... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nA syllogism that is formally invalid\nA) cannot be materially true\nB) both B and C\nC) might be materially untrue\nD) might be materially true... | [
{
"retrieved_answer": "B",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nA syllogism that is formally invalid\\nA) cannot be materially true\\nB) both B and C\\nC) might be materially untrue\\nD) might be materially true\\nPrint only a single choice from \"A\" or \"B\" or ... | 8 |
mmlu-abstract-algebra.val.93 | Find the maximum possible order for an element of S_n for n = 6. | ['Please answer with the letter of the correct answer.\n\nFind the maximum possible order for an element of S_n for n = 6.\nA) 30\nB) 105\nC) 6\nD) 12\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | 6 | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"30",
"105",
"6",
"12"
]
} | C | C. 6 | A. 30 | B. 105 | D. 12 | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nWhich list of numbers is ordered from least to greatest?\nA) 12,209, 12,902, 125,466, 125,464\nB) 160,233, 171,141, 11,645, 16,703\nC) 10,354, 10,600, 104,321, 106,213\nD) 167,213, 161,455, 17,400, 11,633\nPrint only a single choice from "A" or "B" or... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nWhich list of numbers is ordered from least to greatest?\nA) 12,209, 12,902, 125,466, 125,464\nB) 160,233, 171,141, 11,645, 16,703\nC) 10,354, ... | [
{
"retrieved_answer": "C",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nWhich list of numbers is ordered from least to greatest?\\nA) 12,209, 12,902, 125,466, 125,464\\nB) 160,233, 171,141, 11,645, 16,703\\nC) 10,354, 10,600, 104,321, 106,213\\nD) 167,213, 161,455, 17,400,... | 8 |
mmlu-abstract-algebra.val.94 | Statement 1 | Q is an extension field of Z_2. Statement 2 | Every non-constant polynomial over a field has a zero in some extension field. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | Q is an extension field of Z_2. Statement 2 | Every non-constant polynomial over a field has a zero in some extension field.\nA) True, False\nB) False, False\nC) True, True\nD) False, True\nPrint only a single choice from "A" or "B" or "C" or "D" ... | False, True | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"True, False",
"False, False",
"True, True",
"False, True"
]
} | D | D. False, True | A. True, False | B. False, False | C. True, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | R is a splitting field of some polynomial over Q. Statement 2 | There is a field with 60 elements.\nA) False, True\nB) True, False\nC) False, False\nD) True, True\nPrint only a single choice from "A" or "B" or "C" or "D" without explanat... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | R is a splitting field of some polynomial over Q. Statement 2 | There is a field with 60 elements.\nA) False, True\nB) True, Fals... | [
{
"retrieved_answer": "C",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | R is a splitting field of some polynomial over Q. Statement 2 | There is a field with 60 elements.\\nA) False, True\\nB) True, False\\nC) False, False\\nD) True, True\\nPrint only a singl... | 8 |
mmlu-abstract-algebra.val.95 | Statement 1 | If H is a subgroup of G and a belongs to G then aH is a subgroup of G if and only if a is in H. Statement 2 | If H is a subgroup of G and a and b belong to G then aH = bH if and only if ab is in H. | ['Please answer with the letter of the correct answer.\n\nStatement 1 | If H is a subgroup of G and a belongs to G then aH is a subgroup of G if and only if a is in H. Statement 2 | If H is a subgroup of G and a and b belong to G then aH = bH if and only if ab is in H.\nA) False, False\nB) True, True\nC) False, True\nD... | True, False | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"False, False",
"True, True",
"False, True",
"True, False"
]
} | D | D. True, False | A. False, False | B. True, True | C. False, True | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.\nA) True, True\nB) False, True\nC) False, False\nD) True, False\nPrint only a single choice from "A" or "B"... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nStatement 1 | Every group of order 42 has a normal subgroup of order 7. Statement 2 | Every group of order 42 has a normal subgroup of order 8.\\nA) True, True\\nB) False, True\\nC) False, False\\nD) T... | 8 |
mmlu-abstract-algebra.val.96 | Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^2 + 1 in Z_2 | ['Please answer with the letter of the correct answer.\n\nFind all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^2 + 1 in Z_2\nA) 2\nB) 0\nC) 1\nD) 0,1\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:'] | 1 | {
"label": [
"A",
"B",
"C",
"D"
],
"text": [
"2",
"0",
"1",
"0,1"
]
} | C | C. 1 | A. 2 | B. 0 | D. 0,1 | mmlu-abstract-algebra | Question:
['Please answer with the letter of the correct answer.\n\nFind the generator for the finite field Z_11.\nA) 1\nB) 4\nC) 3\nD) 2\nPrint only a single choice from "A" or "B" or "C" or "D" without explanation. Answer:']
Solution:
D
Question:
['Please answer with the letter of the correct answer.\n\nFind all c i... | Instruction: Directly output the answer to the last question. Do not summarize or list any previous answers.
Question:
['Please answer with the letter of the correct answer.\n\nFind the generator for the finite field Z_11.\nA) 1\nB) 4\nC) 3\nD) 2\nPrint only a single choice from "A" or "B" or "C" or "D" without explan... | [
{
"retrieved_answer": "D",
"retrieved_query": "['Please answer with the letter of the correct answer.\\n\\nFind the generator for the finite field Z_11.\\nA) 1\\nB) 4\\nC) 3\\nD) 2\\nPrint only a single choice from \"A\" or \"B\" or \"C\" or \"D\" without explanation. Answer:']",
"score": 0.71284705400... | 8 |
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