Commit 2184b8de authored by lintangsutawika's avatar lintangsutawika
Browse files

Merge branch 'cont-metrics' of https://github.com/EleutherAI/lm-evaluation-harness into alt_worlds

parents b1ba4e71 1522009c
dataset_name: clinical_knowledge
description: 'The following are multiple choice questions (with answers) about clinical
knowledge.
Q: Glycolysis is the name given to the pathway involving the conversion of:
(A) glycogen to glucose-1-phosphate. (B) glycogen or glucose to fructose. (C) glycogen
or glucose to pyruvate or lactate. (D) glycogen or glucose to pyruvate or acetyl
CoA.
A: Let''s think step by step. We refer to Wikipedia articles on clinical knowledge
for help. Glycolysis is the name given to the pathway involving conversion of glycogen
or glucose to pyruvate or lactate. The answer is (C).
Q: What is the difference between a male and a female catheter?
(A) Male and female catheters are different colours. (B) Male catheters are longer
than female catheters. (C) Male catheters are bigger than female catheters. (D)
Female catheters are longer than male catheters.
A: Let''s think step by step. We refer to Wikipedia articles on clinical knowledge
for help. The difference between a male and female catheter is that male catheters
tend to be longer than female catheters. The answer is (B).
Q: How many attempts should you make to cannulate a patient before passing the job
on to a senior colleague, according to the medical knowledge of 2020?
(A) 4 (B) 3 (C) 2 (D) 1
A: Let''s think step by step. We refer to Wikipedia articles on clinical knowledge
for help. According to the medical protocol as of 2020, you should make two attempts
to cannulate a patient before passing the job on to a more-senior practitioner.
The answer is (C).
Q: In the assessment of the hand function which of the following is true?
(A) Abduction of the thumb is supplied by spinal root T2 (B) Opposition of the thumb
by opponens policis is supplied by spinal root T1 (C) Finger adduction is supplied
by the median nerve (D) Finger abduction is mediated by the palmar interossei
A: Let''s think step by step. We refer to Wikipedia articles on clinical knowledge
for help. Of all the options, it is only true that the opposition of the thumb by
opponens pollicis is supplied by spinal root T1. The answer is (B).
Q: The energy for all forms of muscle contraction is provided by:
(A) ATP. (B) ADP. (C) phosphocreatine. (D) oxidative phosphorylation.
A: Let''s think step by step. We refer to Wikipedia articles on clinical knowledge
for help. The energy for muscular contraction is provided by ATP (adenosine triphosphate),
which is the powerhouse of the cell. The answer is (A).'
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_clinical_knowledge
"dataset_name": "clinical_knowledge"
"description": "The following are multiple choice questions (with answers) about clinical\
\ knowledge.\n\nQ: Glycolysis is the name given to the pathway involving the conversion\
\ of:\n(A) glycogen to glucose-1-phosphate. (B) glycogen or glucose to fructose.\
\ (C) glycogen or glucose to pyruvate or lactate. (D) glycogen or glucose to pyruvate\
\ or acetyl CoA.\nA: Let's think step by step. We refer to Wikipedia articles on\
\ clinical knowledge for help. Glycolysis is the name given to the pathway involving\
\ conversion of glycogen or glucose to pyruvate or lactate. The answer is (C).\n\
\nQ: What is the difference between a male and a female catheter?\n(A) Male and\
\ female catheters are different colours. (B) Male catheters are longer than female\
\ catheters. (C) Male catheters are bigger than female catheters. (D) Female catheters\
\ are longer than male catheters.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on clinical knowledge for help. The difference between a male and female\
\ catheter is that male catheters tend to be longer than female catheters. The answer\
\ is (B).\n\nQ: How many attempts should you make to cannulate a patient before\
\ passing the job on to a senior colleague, according to the medical knowledge of\
\ 2020?\n(A) 4 (B) 3 (C) 2 (D) 1\nA: Let's think step by step. We refer to Wikipedia\
\ articles on clinical knowledge for help. According to the medical protocol as\
\ of 2020, you should make two attempts to cannulate a patient before passing the\
\ job on to a more-senior practitioner. The answer is (C).\n\nQ: In the assessment\
\ of the hand function which of the following is true?\n(A) Abduction of the thumb\
\ is supplied by spinal root T2 (B) Opposition of the thumb by opponens policis\
\ is supplied by spinal root T1 (C) Finger adduction is supplied by the median nerve\
\ (D) Finger abduction is mediated by the palmar interossei\nA: Let's think step\
\ by step. We refer to Wikipedia articles on clinical knowledge for help. Of all\
\ the options, it is only true that the opposition of the thumb by opponens pollicis\
\ is supplied by spinal root T1. The answer is (B).\n\nQ: The energy for all forms\
\ of muscle contraction is provided by:\n(A) ATP. (B) ADP. (C) phosphocreatine.\
\ (D) oxidative phosphorylation.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on clinical knowledge for help. The energy for muscular contraction is\
\ provided by ATP (adenosine triphosphate), which is the powerhouse of the cell.\
\ The answer is (A)."
"group": "mmlu_flan_cot_fewshot_other"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_clinical_knowledge"
dataset_name: college_biology
description: "The following are multiple choice questions (with answers) about college\
"dataset_name": "college_biology"
"description": "The following are multiple choice questions (with answers) about college\
\ biology.\n\nQ: Which of the following represents an accurate statement concerning\
\ arthropods?\n(A) They possess an exoskeleton composed primarily of peptidoglycan.\
\ (B) They possess an open circulatory system with a dorsal heart. (C) They are\
......@@ -19,7 +19,7 @@ description: "The following are multiple choice questions (with answers) about c
\ Law, $p^2 + 2 p q + q^2 = 1$, and $p + q = 1$ where $p$ is the frequency of the\
\ dominant allele, $q$ is the frequency of the recessive allele, and $p^2$, $q^2$,\
\ and $2pq$ are the frequencies of dominant homozygous, recessive homozygous, and\
\ heterozygous individuals, respectively. \u200BThe frequency of the recessive allele\
\ heterozygous individuals, respectively. The frequency of the recessive allele\
\ (q) is $\\sqrt{\frac{1}{400}} = 0.05$. We have $p = 1 - q = 0.95$. The frequency\
\ of heterozygous individuals is $2pq = 2 \\cdot 0.05 \\cdot 0.95 = 0.095$. The\
\ number of heterozygous individuals is equal to the frequency of heterozygous individuals\
......@@ -56,5 +56,6 @@ description: "The following are multiple choice questions (with answers) about c
\ the human and bird forearms, which rules out (D). Humans and birds do belong to\
\ the same clade - a group of organisms composed of a common ancestor. The answer\
\ is (C)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_biology
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_biology"
dataset_name: college_chemistry
description: "The following are multiple choice questions (with answers) about college\
\ chemistry.\n\nQ: 3 Cl\u2212(aq) + 4 CrO_4^2\u2212(aq) + 23 H+(aq) \u2192 3 HClO2(aq)\
\ + 4 Cr3+(aq) + 10 H2O(l). In the reaction shown above, Cl\u2212(aq) behaves as\n\
(A) an acid (B) a base (C) a catalyst (D) a reducing agent\nA: Let's think step\
\ by step. A molecule that behaves as a base accepts an H+ ion (or proton) from\
\ another molecule, whereas a molecule that behaves as an acid donates an H+ ion\
\ (or proton) to another molecule. Neither of these is the case for Cl in this reaction,\
\ which rules out (A) and (B). A catalyst is a substance that only accelerates a\
\ reaction without itself undergoing chemical change, which is not the case here.\
\ This rules out (C). Instead, the $Cl^{-} molecules carry a negative charge, which\
\ they donate in the reaction to form 3 HClO2. This is the behavior of a reducing\
\ agent, or (D). The answer is (D).\n\nQ: Which of the following statements about\
\ the lanthanide elements is NOT true?\n(A) The most common oxidation state for\
\ the lanthanide elements is +3. (B) Lanthanide complexes often have high coordination\
\ numbers (> 6). (C) All of the lanthanide elements react with aqueous acid to liberate\
\ hydrogen. (D) The atomic radii of the lanthanide elements increase across the\
\ period from La to Lu.\nA: Let's think step by step. The atomic radii of the lanthanide\
\ elements in fact decrease across the period from La to Lu. Options (A), (B), and\
\ (C) are all true. This means that only (D) is NOT true. The answer is (D).\n\n\
Q: Which of the following lists the hydrides of group-14 elements in order of thermal\
\ stability, from lowest to highest?\n(A) PbH4 < SnH4 < GeH4 < SiH4 < CH4 (B) PbH4\
\ < SnH4 < CH4 < GeH4 < SiH4 (C) CH4 < SiH4 < GeH4 < SnH4 < PbH4 (D) CH4 < PbH4\
\ < GeH4 < SnH4 < SiH4\nA: Let's think step by step. The thermal stability of group-14\
\ hydrides decreases as we move from the top of group 14 to the bottom. The order\
\ of elements in the group from top to bottom is C, Si, Ge, Sn, Pb. Therefore in\
\ order of increasing thermal stability we have PbH4, SnH4, GeH4, SiH4, and CH4,\
\ or answer (A). The answer is (A).\n\nQ: Predict the number of lines in the EPR\
\ spectrum of a solution of 13C-labelled methyl radical (13CH3\u2022), assuming\
\ the lines do not overlap.\n(A) 4 (B) 3 (C) 6 (D) 24 (E) 8\nA: Let's think step\
\ by step. The electron paramagnetic resonance spectrum will be split by two forms\
\ of interactions. The first is the hyperfine interaction with the 13C (nuclear\
\ spin $I = \nrac{1}{2}$) which will split the spectrum into 2 lines. This will\
\ be further split into 4 lines by the interaction with three equivalent 1H nuclei.\
\ The total number of lines is therefore $2 \\cdot 4 = 8$. The answer is (E)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_chemistry
"dataset_name": "college_chemistry"
"description": "The following are multiple choice questions (with answers) about college\
\ chemistry.\n\nQ: 3 Cl−(aq) + 4 CrO_4^2−(aq) + 23 H+(aq) 3 HClO2(aq) + 4 Cr3+(aq)\
\ + 10 H2O(l). In the reaction shown above, Cl−(aq) behaves as\n(A) an acid (B)\
\ a base (C) a catalyst (D) a reducing agent\nA: Let's think step by step. A molecule\
\ that behaves as a base accepts an H+ ion (or proton) from another molecule, whereas\
\ a molecule that behaves as an acid donates an H+ ion (or proton) to another molecule.\
\ Neither of these is the case for Cl in this reaction, which rules out (A) and\
\ (B). A catalyst is a substance that only accelerates a reaction without itself\
\ undergoing chemical change, which is not the case here. This rules out (C). Instead,\
\ the $Cl^{-} molecules carry a negative charge, which they donate in the reaction\
\ to form 3 HClO2. This is the behavior of a reducing agent, or (D). The answer\
\ is (D).\n\nQ: Which of the following statements about the lanthanide elements\
\ is NOT true?\n(A) The most common oxidation state for the lanthanide elements\
\ is +3. (B) Lanthanide complexes often have high coordination numbers (> 6). (C)\
\ All of the lanthanide elements react with aqueous acid to liberate hydrogen. (D)\
\ The atomic radii of the lanthanide elements increase across the period from La\
\ to Lu.\nA: Let's think step by step. The atomic radii of the lanthanide elements\
\ in fact decrease across the period from La to Lu. Options (A), (B), and (C) are\
\ all true. This means that only (D) is NOT true. The answer is (D).\n\nQ: Which\
\ of the following lists the hydrides of group-14 elements in order of thermal stability,\
\ from lowest to highest?\n(A) PbH4 < SnH4 < GeH4 < SiH4 < CH4 (B) PbH4 < SnH4 <\
\ CH4 < GeH4 < SiH4 (C) CH4 < SiH4 < GeH4 < SnH4 < PbH4 (D) CH4 < PbH4 < GeH4 <\
\ SnH4 < SiH4\nA: Let's think step by step. The thermal stability of group-14 hydrides\
\ decreases as we move from the top of group 14 to the bottom. The order of elements\
\ in the group from top to bottom is C, Si, Ge, Sn, Pb. Therefore in order of increasing\
\ thermal stability we have PbH4, SnH4, GeH4, SiH4, and CH4, or answer (A). The\
\ answer is (A).\n\nQ: Predict the number of lines in the EPR spectrum of a solution\
\ of 13C-labelled methyl radical (13CH3•), assuming the lines do not overlap.\n\
(A) 4 (B) 3 (C) 6 (D) 24 (E) 8\nA: Let's think step by step. The electron paramagnetic\
\ resonance spectrum will be split by two forms of interactions. The first is the\
\ hyperfine interaction with the 13C (nuclear spin $I = \nrac{1}{2}$) which will\
\ split the spectrum into 2 lines. This will be further split into 4 lines by the\
\ interaction with three equivalent 1H nuclei. The total number of lines is therefore\
\ $2 \\cdot 4 = 8$. The answer is (E)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_chemistry"
dataset_name: college_computer_science
description: 'The following are multiple choice questions (with answers) about college
computer science.
Q: Which of the following regular expressions is equivalent to (describes the same
set of strings as) (a* + b)*(c + d)?
(A) a*(c + d)+ b(c + d)
(B) a*(c + d)* + b(c + d)*
(C) a*(c + d)+ b*(c + d)
(D) (a + b)*c +(a + b)*d
A: Let''s think step by step. We know that:
1. (X* + Y)* = (X + Y)*
2. X(Y + Z)? = XY + XZ
Using equation 1 we can rewrite (a* + b)*(c + d)? as:
3. (a + b)*(c + d)?
Using equation 2 we can rewrite equation 3 as:
(a + b)*c + (a + b)*d The answer is (D).
Q: The Singleton design pattern is used to guarantee that only a single instance
of a class may be instantiated. Which of the following is (are) true of this design
pattern?
I. The Singleton class has a static factory method to provide its instance.
II. The Singleton class can be a subclass of another class.
III. The Singleton class has a private constructor.
(A) I only
(B) II only
(C) III only
(D) I, II, and III
A: Let''s think step by step. Statement I is a correct statement about a Singleton,
because a Singleton restricts instantiation to a single, static method. Statement
II is also correct, because there is no inherent restriction regarding the inheritance
of a Singleton. Statement III is also correct, because a Singletons must be instantiated
only once, so its constructor is made private to prevent any construction except
via its static factory method.
Given these facts, statements I, II, and III are all correct. The answer is (D).
Q: A certain pipelined RISC machine has 8 general-purpose registers R0, R1, . .
. , R7 and supports the following operations:
ADD Rs1, Rs2, Rd (Add Rs1 to Rs2 and put the sum in Rd)
MUL Rs1, Rs2, Rd (Multiply Rs1 by Rs2 and put the product in Rd)
An operation normally takes one cycle; however, an operation takes two cycles if
it produces a result required by the immediately following operation in an operation
sequence.
Consider the expression AB + ABC + BC, where variables A, B, C are located in registers
R0, R1, R2. If the contents of these three registers must not be modified, what
is the minimum number of clock cycles required for an operation sequence that computes
the value of AB + ABC + BC?
(A) 5 (B) 6 (C) 7 (D) 8
A: Let''s think step by step. First, we are given that A is in R0, B is in R1, and
C is in R2.
Next, we can see that we must compute three multiplies (AB, BC, and ABC) and two
adds (AB + ABC, (AB + ABC) + BC) to compute our final answer, resulting in a minimum
of five clock cycles.
Next, we can see that there is no way to avoid at least one pipeline stall when
computing our final answer, because to compute our final sum we must wait at least
one cycle for the results from the previous stage to be ready. Thus, our minimum
number of cycles must be 6.
We can verify that we can create a solution that requires only six cycles as follows:
compute AB: MUL R0, R1, R3
compute BC: MUL R1, R2, R4
compute ABC: MUL R3, R4, R5
compute AB + BC: ADD R3, R4, R6
STALL
compute AB + ABC + BC: ADD R5, R6, R7
So there are 6 cycles. The answer is (B).
Q: A compiler generates code for the following assignment statement.
G := (A + B) * C - (D + E) * F
The target machine has a single accumulator and a single-address instruction set
consisting of instructions load, store, add, subtract, and multiply. For the arithmetic
operations, the left operand is taken from the accumulator and the result appears
in the accumulator. The smallest possible number of instructions in the resulting
code is
(A) 5 (B) 6 (C) 7 (D) 9
A: Let''s think step by step. We can compute the final answer with the following
sequence of operations:
1. LOAD D (accumulator = D)
2. ADD E (accumulator = D+E)
3. MUL F (accumulator = (D+E)*F)
4. STORE X (X = (D+E)*F)
5. LOAD A (accumulator = A)
6. ADD B (accumulator = A+B)
7. MUL C (accumulator = (A+B)*C)
8. SUB X (accumulator = (A+B)*C - (D+E)*F)
9. STORE G (G = (A+B)*C - (D+E)*F)
This sequence takes 9 instructions. The answer is (D).
Q: Consider a computer design in which multiple processors, each with a private
cache memory, share global memory using a single bus. This bus is the critical system
resource. Each processor can execute one instruction every 500 nanoseconds as long
as memory references are satisfied by its local cache. When a cache miss occurs,
the processor is delayed for an additional 2,000 nanoseconds. During half of this
additional delay, the bus is dedicated to serving the cache miss. During the other
half, the processor cannot continue, but the bus is free to service requests from
other processors. On average, each instruction requires 2 memory references. On
average, cache misses occur on 1 percent of references. What proportion of the capacity
of the bus would a single processor consume, ignoring delays due to competition
from other processors?
(A) 1/50 (B) 1/27 (C) 1/25 (D) 2/27
A: Let''s think step by step. We know that each instruction requires two memory
references per instruction, and that there is an average cache miss rate of one
percent.
Thus a given processor has:
(1 cache miss / 100 references) * (2 references / instruction) =
(2 cache misses / 100 instructions), so:
misses_per_instruction = 1 cache miss / 50 instructions.
Next, we know that each instruction requires 500 nanoseconds when there is no cache
miss, and 500 + 2000 = 2500 nanoseconds when there is a cache miss. Thus:
50 instructions / (49 * 500) + (1 * 2500) nanoseconds, so:
instructions_per_ns = 50 instructions / 27000 nanoseconds.
Now, we know that each cache miss locks the bus for half of the 2000 nanosecond
cache miss delay, or 1000 nanoseconds, so:
lock_ns_per_miss = 1000 nanoseconds / cache miss.
Thus we can see that on average a single processor will lock the bus for:
lock_ns_per_miss * misses_per_instruction * instructions_per_ns =
(1000 nanoseconds / cache miss) * (1 cache miss / 50 instructions) * (50 instructions
/ 27000 nanoseconds) = 1000 * (1/50) * (50/27000) = 1000/27000 = 1/27. The answer
is (B).'
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_computer_science
"dataset_name": "college_computer_science"
"description": "The following are multiple choice questions (with answers) about college\
\ computer science.\n\nQ: Which of the following regular expressions is equivalent\
\ to (describes the same set of strings as) (a* + b)*(c + d)?\n(A) a*(c + d)+ b(c\
\ + d)\n(B) a*(c + d)* + b(c + d)*\n(C) a*(c + d)+ b*(c + d)\n(D) (a + b)*c +(a\
\ + b)*d\nA: Let's think step by step. We know that:\n1. (X* + Y)* = (X + Y)*\n\
2. X(Y + Z)? = XY + XZ\nUsing equation 1 we can rewrite (a* + b)*(c + d)? as:\n\
3. (a + b)*(c + d)?\nUsing equation 2 we can rewrite equation 3 as:\n(a + b)*c +\
\ (a + b)*d The answer is (D).\n\nQ: The Singleton design pattern is used to guarantee\
\ that only a single instance of a class may be instantiated. Which of the following\
\ is (are) true of this design pattern?\nI. The Singleton class has a static factory\
\ method to provide its instance.\nII. The Singleton class can be a subclass of\
\ another class.\nIII. The Singleton class has a private constructor.\n(A) I only\n\
(B) II only\n(C) III only\n(D) I, II, and III\nA: Let's think step by step. Statement\
\ I is a correct statement about a Singleton, because a Singleton restricts instantiation\
\ to a single, static method. Statement II is also correct, because there is no\
\ inherent restriction regarding the inheritance of a Singleton. Statement III is\
\ also correct, because a Singletons must be instantiated only once, so its constructor\
\ is made private to prevent any construction except via its static factory method.\n\
Given these facts, statements I, II, and III are all correct. The answer is (D).\n\
\nQ: A certain pipelined RISC machine has 8 general-purpose registers R0, R1, .\
\ . . , R7 and supports the following operations:\nADD Rs1, Rs2, Rd (Add Rs1 to\
\ Rs2 and put the sum in Rd)\nMUL Rs1, Rs2, Rd (Multiply Rs1 by Rs2 and put the\
\ product in Rd)\nAn operation normally takes one cycle; however, an operation takes\
\ two cycles if it produces a result required by the immediately following operation\
\ in an operation sequence.\nConsider the expression AB + ABC + BC, where variables\
\ A, B, C are located in registers R0, R1, R2. If the contents of these three registers\
\ must not be modified, what is the minimum number of clock cycles required for\
\ an operation sequence that computes the value of AB + ABC + BC?\n(A) 5 (B) 6 (C)\
\ 7 (D) 8\nA: Let's think step by step. First, we are given that A is in R0, B is\
\ in R1, and C is in R2.\nNext, we can see that we must compute three multiplies\
\ (AB, BC, and ABC) and two adds (AB + ABC, (AB + ABC) + BC) to compute our final\
\ answer, resulting in a minimum of five clock cycles.\nNext, we can see that there\
\ is no way to avoid at least one pipeline stall when computing our final answer,\
\ because to compute our final sum we must wait at least one cycle for the results\
\ from the previous stage to be ready. Thus, our minimum number of cycles must be\
\ 6.\nWe can verify that we can create a solution that requires only six cycles\
\ as follows:\ncompute AB: MUL R0, R1, R3\ncompute BC: MUL R1, R2, R4\ncompute ABC:\
\ MUL R3, R4, R5\ncompute AB + BC: ADD R3, R4, R6\nSTALL\ncompute AB + ABC + BC:\
\ ADD R5, R6, R7\nSo there are 6 cycles. The answer is (B).\n\nQ: A compiler generates\
\ code for the following assignment statement.\nG := (A + B) * C - (D + E) * F\n\
The target machine has a single accumulator and a single-address instruction set\
\ consisting of instructions load, store, add, subtract, and multiply. For the arithmetic\
\ operations, the left operand is taken from the accumulator and the result appears\
\ in the accumulator. The smallest possible number of instructions in the resulting\
\ code is\n(A) 5 (B) 6 (C) 7 (D) 9\nA: Let's think step by step. We can compute\
\ the final answer with the following sequence of operations:\n1. LOAD D (accumulator\
\ = D)\n2. ADD E (accumulator = D+E)\n3. MUL F (accumulator = (D+E)*F)\n4. STORE\
\ X (X = (D+E)*F)\n5. LOAD A (accumulator = A)\n6. ADD B (accumulator = A+B)\n\
7. MUL C (accumulator = (A+B)*C)\n8. SUB X (accumulator = (A+B)*C - (D+E)*F)\n\
9. STORE G (G = (A+B)*C - (D+E)*F)\nThis sequence takes 9 instructions. The answer\
\ is (D).\n\nQ: Consider a computer design in which multiple processors, each with\
\ a private cache memory, share global memory using a single bus. This bus is the\
\ critical system resource. Each processor can execute one instruction every 500\
\ nanoseconds as long as memory references are satisfied by its local cache. When\
\ a cache miss occurs, the processor is delayed for an additional 2,000 nanoseconds.\
\ During half of this additional delay, the bus is dedicated to serving the cache\
\ miss. During the other half, the processor cannot continue, but the bus is free\
\ to service requests from other processors. On average, each instruction requires\
\ 2 memory references. On average, cache misses occur on 1 percent of references.\
\ What proportion of the capacity of the bus would a single processor consume, ignoring\
\ delays due to competition from other processors?\n(A) 1/50 (B) 1/27 (C) 1/25 (D)\
\ 2/27\nA: Let's think step by step. We know that each instruction requires two\
\ memory references per instruction, and that there is an average cache miss rate\
\ of one percent.\nThus a given processor has:\n(1 cache miss / 100 references)\
\ * (2 references / instruction) =\n(2 cache misses / 100 instructions), so:\nmisses_per_instruction\
\ = 1 cache miss / 50 instructions.\nNext, we know that each instruction requires\
\ 500 nanoseconds when there is no cache miss, and 500 + 2000 = 2500 nanoseconds\
\ when there is a cache miss. Thus:\n50 instructions / (49 * 500) + (1 * 2500) nanoseconds,\
\ so:\ninstructions_per_ns = 50 instructions / 27000 nanoseconds.\nNow, we know\
\ that each cache miss locks the bus for half of the 2000 nanosecond cache miss\
\ delay, or 1000 nanoseconds, so:\nlock_ns_per_miss = 1000 nanoseconds / cache miss.\n\
Thus we can see that on average a single processor will lock the bus for:\nlock_ns_per_miss\
\ * misses_per_instruction * instructions_per_ns =\n(1000 nanoseconds / cache miss)\
\ * (1 cache miss / 50 instructions) * (50 instructions / 27000 nanoseconds) = 1000\
\ * (1/50) * (50/27000) = 1000/27000 = 1/27. The answer is (B)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_computer_science"
dataset_name: college_mathematics
description: "The following are multiple choice questions (with answers) about college\
"dataset_name": "college_mathematics"
"description": "The following are multiple choice questions (with answers) about college\
\ mathematics.\n\nQ: Let V be the set of all real polynomials p(x). Let transformations\
\ T, S be defined on V by T:p(x) -> xp(x) and S:p(x) -> p'(x) = d/dx p(x), and interpret\
\ (ST)(p(x)) as S(T(p(x))). Which of the following is true?\n(A) ST = 0 (B) ST =\
\ T (C) ST = TS (D) ST - TS is the identity map of V onto itself.\nA: Let's think\
\ step by step. For a given polynomial $p$ we have\n\\[ST(p) = (xp(x))\u2019 = p(x)\
\ + xp\u2019(x)\\]\nand\n\\[TS(p) = xp\u2019(x).\\]\nHence \\[ST(p) - TS(p) = p(x)\
\ + xp\u2019(x) - xp\u2019(x).\\] The answer is (D).\n\nQ: Suppose that f(1 + x)\
\ = f(x) for all real x. If f is a polynomial and f(5) = 11, then f(15/2)\n(A) -11\
\ (B) 0 (C) 11 (D) 33/2\nA: Let's think step by step. The only polynomial so that\
\ $f(1 + x) = f(x)$ is a constant polynomial. Hence $f(5) = 11 = f(15/2)$. The answer\
\ is (C).\n\nQ: Let A be a real 2x2 matrix. Which of the following statements must\
\ be true?\nI. All of the entries of A^2 are nonnegative.\nII. The determinant of\
\ A^2 is nonnegative.\nIII. If A has two distinct eigenvalues, then A^2 has two\
\ distinct eigenvalues.\n(A) I only (B) II only (C) III only (D) II and III only\n\
A: Let's think step by step. We have \\[ det(A^2) = (det(A))^2 \\geq 0,\\] hence\
\ II holds.\nIII is false: as a counterexample take a diagonal matrix with -1 and\
\ 1 on the diagonal. Then $A^2$ is the identity matrix. The answer is (B).\n\nQ:\
\ Let A be the set of all ordered pairs of integers (m, n) such that 7m + 12n =\
\ 22. What is the greatest negative number in the set B = {m + n : (m, n) \\in A}?\n\
(A) -5 (B) -4 (C) -3 (D) -2\nA: Let's think step by step. We have 12n = 22 - 7m\
\ and one of the solutions is $m = -2$, $n = 3$. Then $m + n = 1$, hence we need\
\ to look for smaller $m$ in order to make $m + n$ negative. The next solution is\
\ $m = -14$ and $n = 10$. For smaller $m$ we have $m + n$ smaller than $-4$. The\
\ answer is (B).\n\nQ: A tank initially contains a salt solution of 3 grams of salt\
\ dissolved in 100 liters of water. A salt solution containing 0.02 grams of salt\
\ per liter of water is sprayed into the tank at a rate of 4 liters per minute.\
\ The sprayed solution is continually mixed with the salt solution in the tank,\
\ and the mixture flows out of the tank at a rate of 4 liters per minute. If the\
\ mixing is instantaneous, how many grams of salt are in the tank after 100 minutes\
\ have elapsed?\n(A) 2 (B) 2 - e^-2 (C) 2 + e^-2 (D) 2 + e^-4\nA: Let's think step\
\ by step. For all $t \\in \\mathbb{R}$, let $s(t)$ denote the number grams of salt\
\ in the tank at the $t$ minute mark. Then $s(0) = 3$.\nWe use $s$ and $s(t)$ interchangeably.\
\ We also use $s^{\\prime}$ and $s^{\\prime}(t)$ interchangeably. The solution sprayed\
\ into the tank adds $(0.02) 4=2 / 25$ grams of salt per minute. There are always\
\ 100 liters of liquid in the tank, containing $s$ grams of salt. So the density\
\ of salt in the tank is $s / 100$ grams per liter. The flow of water out of the\
\ tank therefore subtracts $4(s / 100)=s / 25$ grams of salt per minute. Then, for\
\ all $t \\in \\mathbb{R}$, we have $s^{\\prime}(t)=(2 / 25)-(s / 25)=(2-s) / 25$,\
\ and so $[s(t)=2] \\Rightarrow\\left[s^{\\prime}(t)=0\right]$. For all $t \\in\
\ \\mathbb{R}$,\n$$\n\frac{d}{d t}[\\ln (s-2)]=\frac{s^{\\prime}}{s-2}=\frac{-1}{25}=\f\
rac{d}{d t}\\left[-\frac{t}{25}\right] .\n$$\nChoose $C \\in \\mathbb{R}$ such that,\
\ for all $t \\in \\mathbb{R}, \\ln ((s(t)-2))=-[t / 25]+C$. Let $K:=e^{C}$. Then,\
\ for all $t \\in \\mathbb{R}$, we have $(s(t))-2=K e^{-t / 25}$, and so $s(t)=2+K\
\ e^{-t / 25}$. Then $3=s(0)=2+K e^{0}=2+K$, so $K=1$. Then $s(100)=2+K e^{-100\
\ / 25}=2+1 \\cdot e^{-4}=2+e^{-4}$. The answer is (D)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_mathematics
\ step by step. For a given polynomial $p$ we have\n\\[ST(p) = (xp(x))’ = p(x) +\
\ xp’(x)\\]\nand\n\\[TS(p) = xp’(x).\\]\nHence \\[ST(p) - TS(p) = p(x) + xp’(x)\
\ - xp’(x).\\] The answer is (D).\n\nQ: Suppose that f(1 + x) = f(x) for all real\
\ x. If f is a polynomial and f(5) = 11, then f(15/2)\n(A) -11 (B) 0 (C) 11 (D)\
\ 33/2\nA: Let's think step by step. The only polynomial so that $f(1 + x) = f(x)$\
\ is a constant polynomial. Hence $f(5) = 11 = f(15/2)$. The answer is (C).\n\n\
Q: Let A be a real 2x2 matrix. Which of the following statements must be true?\n\
I. All of the entries of A^2 are nonnegative.\nII. The determinant of A^2 is nonnegative.\n\
III. If A has two distinct eigenvalues, then A^2 has two distinct eigenvalues.\n\
(A) I only (B) II only (C) III only (D) II and III only\nA: Let's think step by\
\ step. We have \\[ det(A^2) = (det(A))^2 \\geq 0,\\] hence II holds.\nIII is false:\
\ as a counterexample take a diagonal matrix with -1 and 1 on the diagonal. Then\
\ $A^2$ is the identity matrix. The answer is (B).\n\nQ: Let A be the set of all\
\ ordered pairs of integers (m, n) such that 7m + 12n = 22. What is the greatest\
\ negative number in the set B = {m + n : (m, n) \\in A}?\n(A) -5 (B) -4 (C) -3\
\ (D) -2\nA: Let's think step by step. We have 12n = 22 - 7m and one of the solutions\
\ is $m = -2$, $n = 3$. Then $m + n = 1$, hence we need to look for smaller $m$\
\ in order to make $m + n$ negative. The next solution is $m = -14$ and $n = 10$.\
\ For smaller $m$ we have $m + n$ smaller than $-4$. The answer is (B).\n\nQ: A\
\ tank initially contains a salt solution of 3 grams of salt dissolved in 100 liters\
\ of water. A salt solution containing 0.02 grams of salt per liter of water is\
\ sprayed into the tank at a rate of 4 liters per minute. The sprayed solution is\
\ continually mixed with the salt solution in the tank, and the mixture flows out\
\ of the tank at a rate of 4 liters per minute. If the mixing is instantaneous,\
\ how many grams of salt are in the tank after 100 minutes have elapsed?\n(A) 2\
\ (B) 2 - e^-2 (C) 2 + e^-2 (D) 2 + e^-4\nA: Let's think step by step. For all $t\
\ \\in \\mathbb{R}$, let $s(t)$ denote the number grams of salt in the tank at the\
\ $t$ minute mark. Then $s(0) = 3$.\nWe use $s$ and $s(t)$ interchangeably. We also\
\ use $s^{\\prime}$ and $s^{\\prime}(t)$ interchangeably. The solution sprayed into\
\ the tank adds $(0.02) 4=2 / 25$ grams of salt per minute. There are always 100\
\ liters of liquid in the tank, containing $s$ grams of salt. So the density of\
\ salt in the tank is $s / 100$ grams per liter. The flow of water out of the tank\
\ therefore subtracts $4(s / 100)=s / 25$ grams of salt per minute. Then, for all\
\ $t \\in \\mathbb{R}$, we have $s^{\\prime}(t)=(2 / 25)-(s / 25)=(2-s) / 25$, and\
\ so $[s(t)=2] \\Rightarrow\\left[s^{\\prime}(t)=0\right]$. For all $t \\in \\mathbb{R}$,\n\
$$\n\frac{d}{d t}[\\ln (s-2)]=\frac{s^{\\prime}}{s-2}=\frac{-1}{25}=\frac{d}{d t}\\\
left[-\frac{t}{25}\right] .\n$$\nChoose $C \\in \\mathbb{R}$ such that, for all\
\ $t \\in \\mathbb{R}, \\ln ((s(t)-2))=-[t / 25]+C$. Let $K:=e^{C}$. Then, for all\
\ $t \\in \\mathbb{R}$, we have $(s(t))-2=K e^{-t / 25}$, and so $s(t)=2+K e^{-t\
\ / 25}$. Then $3=s(0)=2+K e^{0}=2+K$, so $K=1$. Then $s(100)=2+K e^{-100 / 25}=2+1\
\ \\cdot e^{-4}=2+e^{-4}$. The answer is (D)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_mathematics"
dataset_name: college_medicine
description: "The following are multiple choice questions (with answers) about college\
"dataset_name": "college_medicine"
"description": "The following are multiple choice questions (with answers) about college\
\ medicine.\n\nQ: An expected side effect of creatine supplementation is:\n(A) muscle\
\ weakness. (B) gain in body mass. (C) muscle cramps. (D) loss of electrolytes.\n\
A: Let's think step by step. We refer to Wikipedia articles on medicine for help.\
......@@ -9,44 +9,44 @@ description: "The following are multiple choice questions (with answers) about c
\ endurance runners have a high proportion of Type I fibres in their leg muscles\
\ (C) Liver glycogen is important in the maintenance of the blood glucose concentration\
\ (D) Insulin promotes glucose uptake by all tissues in the body\nA: Let's think\
\ step by step. We refer to Wikipedia articles on medicine for help. Let\u2019s\
\ solve this step by step and go over each choice: \n(A) \u201CMuscle glycogen is\
\ broken down enzymatically to glucose-1-phosphate\u201D: This is a correct statement.\n\
(B) \u201CElite endurance runners have a high proportion of Type I fibres in their\
\ leg muscles\u201D: This is a correct statement.\n(C) \u201CLiver glycogen is important\
\ in the maintenance of the blood glucose concentration\u201D: This is a correct\
\ statement. \n(D) \u201CInsulin promotes glucose uptake by all tissues in the body\u201D\
: This is not a correct statement, because insulin promotes glucose uptake by the\
\ liver, adipose tissue, and muscle, but not all tissues. For instance, the tissues\
\ in the brain and red blood cells are not affected by insulin. The answer is (D).\n\
\nQ: A high school science teacher fills a 1 liter bottle with pure nitrogen and\
\ seals the lid. The pressure is 1.70 atm, and the room temperature is 25\xB0C.\
\ Which two variables will both increase the pressure of the system, if all other\
\ variables are held constant?\n(A) Increasing temperature, increasing moles of\
\ gas (B) Increasing temperature, increasing volume (C) Decreasing volume, decreasing\
\ temperature (D) Decreasing moles of gas, increasing volume\nA: Let's think step\
\ by step. We refer to Wikipedia articles on medicine for help. The relevant equation\
\ for this is the ideal gas law: PV=nRT. To increase the pressure of the system\
\ (P), then either n (number of moles of the gas) or T (temperature) have to increase.\
\ The answer is (A).\n\nQ: In a genetic test of a newborn, a rare genetic disorder\
\ is found that has X-linked recessive transmission. Which of the following statements\
\ is likely true regarding the pedigree of this disorder?\n(A) All descendants on\
\ the maternal side will have the disorder. (B) Females will be approximately twice\
\ as affected as males in this family. (C) All daughters of an affected male will\
\ be affected. (D) There will be equal distribution of males and females affected.\n\
A: Let's think step by step. We refer to Wikipedia articles on medicine for help.\
\ Let\u2019s solve this step by step. Let's recall first that females have two X\
\ chromosomes, while males have one X and one Y chromosome. This is an important\
\ fact we need to know before answering this question. \nBecause a male can only\
\ pass his only one X chromosome to a daughter, if he is affected by this rare genetic\
\ disorder, then we know for sure that he will pass this rare genetic disorder to\
\ all his future-born daughters. Therefore, \u201C(C): All daughters of an affected\
\ male will be affected\u201D is a correct statement. The answer is (C).\n\nQ: Glucose\
\ is transported into the muscle cell:\n(A) via protein transporters called GLUT4.\
\ (B) only in the presence of insulin. (C) via hexokinase. (D) via monocarbylic\
\ acid transporters.\nA: Let's think step by step. We refer to Wikipedia articles\
\ on medicine for help. Glucose (also known as the blood sugar) is the main sugar\
\ found in the human body. It is transported into the muscle cell via diffusion\
\ through protein transporters called GLUT4. The answer is (A)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_medicine
\ step by step. We refer to Wikipedia articles on medicine for help. Let’s solve\
\ this step by step and go over each choice: \n(A) Muscle glycogen is broken down\
\ enzymatically to glucose-1-phosphate: This is a correct statement.\n(B) “Elite\
\ endurance runners have a high proportion of Type I fibres in their leg muscles”:\
\ This is a correct statement.\n(C) Liver glycogen is important in the maintenance\
\ of the blood glucose concentration: This is a correct statement. \n(D) “Insulin\
\ promotes glucose uptake by all tissues in the body”: This is not a correct statement,\
\ because insulin promotes glucose uptake by the liver, adipose tissue, and muscle,\
\ but not all tissues. For instance, the tissues in the brain and red blood cells\
\ are not affected by insulin. The answer is (D).\n\nQ: A high school science teacher\
\ fills a 1 liter bottle with pure nitrogen and seals the lid. The pressure is 1.70\
\ atm, and the room temperature is 25°C. Which two variables will both increase\
\ the pressure of the system, if all other variables are held constant?\n(A) Increasing\
\ temperature, increasing moles of gas (B) Increasing temperature, increasing volume\
\ (C) Decreasing volume, decreasing temperature (D) Decreasing moles of gas, increasing\
\ volume\nA: Let's think step by step. We refer to Wikipedia articles on medicine\
\ for help. The relevant equation for this is the ideal gas law: PV=nRT. To increase\
\ the pressure of the system (P), then either n (number of moles of the gas) or\
\ T (temperature) have to increase. The answer is (A).\n\nQ: In a genetic test of\
\ a newborn, a rare genetic disorder is found that has X-linked recessive transmission.\
\ Which of the following statements is likely true regarding the pedigree of this\
\ disorder?\n(A) All descendants on the maternal side will have the disorder. (B)\
\ Females will be approximately twice as affected as males in this family. (C) All\
\ daughters of an affected male will be affected. (D) There will be equal distribution\
\ of males and females affected.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on medicine for help. Lets solve this step by step. Let's recall first\
\ that females have two X chromosomes, while males have one X and one Y chromosome.\
\ This is an important fact we need to know before answering this question. \nBecause\
\ a male can only pass his only one X chromosome to a daughter, if he is affected\
\ by this rare genetic disorder, then we know for sure that he will pass this rare\
\ genetic disorder to all his future-born daughters. Therefore, “(C): All daughters\
\ of an affected male will be affected” is a correct statement. The answer is (C).\n\
\nQ: Glucose is transported into the muscle cell:\n(A) via protein transporters\
\ called GLUT4. (B) only in the presence of insulin. (C) via hexokinase. (D) via\
\ monocarbylic acid transporters.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on medicine for help. Glucose (also known as the blood sugar) is the\
\ main sugar found in the human body. It is transported into the muscle cell via\
\ diffusion through protein transporters called GLUT4. The answer is (A)."
"group": "mmlu_flan_cot_fewshot_other"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_medicine"
dataset_name: college_physics
description: 'The following are multiple choice questions (with answers) about college
physics.
Q: A refracting telescope consists of two converging lenses separated by 100 cm.
The eye-piece lens has a focal length of 20 cm. The angular magnification of the
telescope is
(A) 4 (B) 5 (C) 6 (D) 20
A: Let''s think step by step. In a refracting telescope, if both lenses are converging,
the focus of both lenses must be between the two lenses, and thus the focal lengths
of the two lenses must add up to their separation. Since the focal length of one
lens is 20 cm, the focal length of the other must be 80 cm. The magnification is
the ratio of these two focal lengths, or 4. The answer is (A).
Q: The muon decays with a characteristic lifetime of about 10^-6 second into an
electron, a muon neutrino, and an electron antineutrino. The muon is forbidden from
decaying into an electron and just a single neutrino by the law of conservation
of
(A) charge (B) mass (C) energy and momentum (D) lepton number
A: Let''s think step by step. Lepton number must be conserved, meaning the total
number of leptons minus the number of antileptons. If a muon decays into an electron
and a single neutrino, the total lepton number would go from one to two, violating
lepton number conservation. The answer is (D).
Q: One end of a Nichrome wire of length 2L and cross-sectional area A is attached
to an end of another Nichrome wire of length L and cross- sectional area 2A. If
the free end of the longer wire is at an electric potential of 8.0 volts, and the
free end of the shorter wire is at an electric potential of 1.0 volt, the potential
at the junction of the two wires is most nearly equal to
(A) 2.4 V (B) 3.3 V (C) 4.5 V (D) 5.7 V
A: Let''s think step by step. This is a simple voltage divider problem, where the
longer wire has a resistance four times that of the shorter end. So the voltage
divider ratio is 1 / 5, meaning that the potential in the middle is 1.0 V + (8.0
V - 1.0 V) * 1/5 = 2.4 V. The answer is (A).
Q: A refracting telescope consists of two converging lenses separated by 100 cm.
The eye-piece lens has a focal length of 20 cm. The angular magnification of the
telescope is
(A) 4 (B) 5 (C) 6 (D) 20
A: Let''s think step by step. In a refracting telescope, if both lenses are converging,
the focus of both lenses must be between the two lenses, and thus the focal lengths
of the two lenses must add up to their separation. Since the focal length of one
lens is 20 cm, the focal length of the other must be 80 cm. The magnification is
the ratio of these two focal lengths, or 4. The answer is (A).
Q: For which of the following thermodynamic processes is the increase in the internal
energy of an ideal gas equal to the heat added to the gas?
(A) Constant temperature (B) Constant volume (C) Constant pressure (D) Adiabatic
A: Let''s think step by step. Heat added to the gas can go into the gases internal
energy or work done against an external force. However, if the volume of the gas
container is constant, no work will be done (since work is pressure times change
in volume). So, at constant volume, all of the heat goes into the internal energy.
The answer is (B).'
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_college_physics
"dataset_name": "college_physics"
"description": "The following are multiple choice questions (with answers) about college\
\ physics.\n\nQ: A refracting telescope consists of two converging lenses separated\
\ by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification\
\ of the telescope is\n(A) 4 (B) 5 (C) 6 (D) 20\nA: Let's think step by step. In\
\ a refracting telescope, if both lenses are converging, the focus of both lenses\
\ must be between the two lenses, and thus the focal lengths of the two lenses must\
\ add up to their separation. Since the focal length of one lens is 20 cm, the focal\
\ length of the other must be 80 cm. The magnification is the ratio of these two\
\ focal lengths, or 4. The answer is (A).\n\nQ: The muon decays with a characteristic\
\ lifetime of about 10^-6 second into an electron, a muon neutrino, and an electron\
\ antineutrino. The muon is forbidden from decaying into an electron and just a\
\ single neutrino by the law of conservation of\n(A) charge (B) mass (C) energy\
\ and momentum (D) lepton number\nA: Let's think step by step. Lepton number must\
\ be conserved, meaning the total number of leptons minus the number of antileptons.\
\ If a muon decays into an electron and a single neutrino, the total lepton number\
\ would go from one to two, violating lepton number conservation. The answer is\
\ (D).\n\nQ: One end of a Nichrome wire of length 2L and cross-sectional area A\
\ is attached to an end of another Nichrome wire of length L and cross- sectional\
\ area 2A. If the free end of the longer wire is at an electric potential of 8.0\
\ volts, and the free end of the shorter wire is at an electric potential of 1.0\
\ volt, the potential at the junction of the two wires is most nearly equal to\n\
(A) 2.4 V (B) 3.3 V (C) 4.5 V (D) 5.7 V\nA: Let's think step by step. This is a\
\ simple voltage divider problem, where the longer wire has a resistance four times\
\ that of the shorter end. So the voltage divider ratio is 1 / 5, meaning that the\
\ potential in the middle is 1.0 V + (8.0 V - 1.0 V) * 1/5 = 2.4 V. The answer is\
\ (A).\n\nQ: A refracting telescope consists of two converging lenses separated\
\ by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification\
\ of the telescope is\n(A) 4 (B) 5 (C) 6 (D) 20\nA: Let's think step by step. In\
\ a refracting telescope, if both lenses are converging, the focus of both lenses\
\ must be between the two lenses, and thus the focal lengths of the two lenses must\
\ add up to their separation. Since the focal length of one lens is 20 cm, the focal\
\ length of the other must be 80 cm. The magnification is the ratio of these two\
\ focal lengths, or 4. The answer is (A).\n\nQ: For which of the following thermodynamic\
\ processes is the increase in the internal energy of an ideal gas equal to the\
\ heat added to the gas?\n(A) Constant temperature (B) Constant volume (C) Constant\
\ pressure (D) Adiabatic\nA: Let's think step by step. Heat added to the gas can\
\ go into the gases internal energy or work done against an external force. However,\
\ if the volume of the gas container is constant, no work will be done (since work\
\ is pressure times change in volume). So, at constant volume, all of the heat goes\
\ into the internal energy. The answer is (B)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_college_physics"
dataset_name: computer_security
description: "The following are multiple choice questions (with answers) about computer\
"dataset_name": "computer_security"
"description": "The following are multiple choice questions (with answers) about computer\
\ security.\n\nQ: SHA-1 has a message digest of\n(A) 160 bits (B) 512 bits (C) 628\
\ bits (D) 820 bits\nA: Let's think step by step. Since SHA-1 is a hash function\
\ which takes an input and produces a 160-bit (20-byte) hash value, its message\
\ digest is 160 bits. The answer is (A).\n\nQ: _____________ can modify data on\
\ your system \u2013 so that your system doesn\u2019t run correctly or you can no\
\ longer access specific data, or it may even ask for ransom in order to give your\
\ access.\n(A) IM \u2013 Trojans (B) Backdoor Trojans (C) Trojan-Downloader (D)\
\ Ransom Trojan\nA: Let's think step by step. The system is asking for trojans,\
\ which are for ransom, which means ransom trojan. The answer is (D).\n\nQ: What\
\ is ethical hacking?\n(A) \"Hacking\" ethics so they justify unintended selfish\
\ behavior (B) Hacking systems (e.g., during penetration testing) to expose vulnerabilities\
\ so they can be fixed, rather than exploited (C) Hacking into systems run by those\
\ whose ethics you disagree with (D) A slang term for rapid software development,\
\ e.g., as part of hackathons\nA: Let's think step by step. Ethical hacking is a\
\ process of detecting vulnerabilities in an application, system, or organization's\
\ infrastructure that an attacker can use to exploit an individual or organization.\
\ They use this process to prevent cyberattacks and security breaches by lawfully\
\ hacking into the systems and looking for weak points. The answer is (B).\n\nQ:\
\ The ____________ is anything which your search engine cannot search.\n(A) Haunted\
\ web (B) World Wide Web (C) Surface web (D) Deep Web\nA: Let's think step by step.\
\ The search engine searches on the Surface Web, which is the portion of the world\
\ wide web which is visible so (B,C) are wrong. The Haunted Web doesn\u2019t correspond\
\ to an internet concept. The Deep Web is the part of the World Wide Web which is\
\ not indexed. The answer is (D).\n\nQ: Exploitation of the Heartbleed bug permits\n\
(A) overwriting cryptographic keys in memory (B) a kind of code injection (C) a\
\ read outside bounds of a buffer (D) a format string attack\nA: Let's think step\
\ by step. The Heartbleed Bug is a serious vulnerability in the popular OpenSSL\
\ cryptographic software library. Heartbleed resulted from improper input validation\
\ (due to a missing bounds check) in the implementation of the TLS heartbeat extension.\
\ The vulnerability was classified as a buffer over-read, a situation where more\
\ data can be read than should be allowed. The answer is (C)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_computer_security
\ your system so that your system doesn’t run correctly or you can no longer access\
\ specific data, or it may even ask for ransom in order to give your access.\n(A)\
\ IM Trojans (B) Backdoor Trojans (C) Trojan-Downloader (D) Ransom Trojan\nA:\
\ Let's think step by step. The system is asking for trojans, which are for ransom,\
\ which means ransom trojan. The answer is (D).\n\nQ: What is ethical hacking?\n\
(A) \"Hacking\" ethics so they justify unintended selfish behavior (B) Hacking systems\
\ (e.g., during penetration testing) to expose vulnerabilities so they can be fixed,\
\ rather than exploited (C) Hacking into systems run by those whose ethics you disagree\
\ with (D) A slang term for rapid software development, e.g., as part of hackathons\n\
A: Let's think step by step. Ethical hacking is a process of detecting vulnerabilities\
\ in an application, system, or organization's infrastructure that an attacker can\
\ use to exploit an individual or organization. They use this process to prevent\
\ cyberattacks and security breaches by lawfully hacking into the systems and looking\
\ for weak points. The answer is (B).\n\nQ: The ____________ is anything which your\
\ search engine cannot search.\n(A) Haunted web (B) World Wide Web (C) Surface web\
\ (D) Deep Web\nA: Let's think step by step. The search engine searches on the Surface\
\ Web, which is the portion of the world wide web which is visible so (B,C) are\
\ wrong. The Haunted Web doesn’t correspond to an internet concept. The Deep Web\
\ is the part of the World Wide Web which is not indexed. The answer is (D).\n\n\
Q: Exploitation of the Heartbleed bug permits\n(A) overwriting cryptographic keys\
\ in memory (B) a kind of code injection (C) a read outside bounds of a buffer (D)\
\ a format string attack\nA: Let's think step by step. The Heartbleed Bug is a serious\
\ vulnerability in the popular OpenSSL cryptographic software library. Heartbleed\
\ resulted from improper input validation (due to a missing bounds check) in the\
\ implementation of the TLS heartbeat extension. The vulnerability was classified\
\ as a buffer over-read, a situation where more data can be read than should be\
\ allowed. The answer is (C)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_computer_security"
dataset_name: conceptual_physics
description: "\nThe following are multiple choice questions (with answers) about conceptual\
\ physics.\n\nQ: Colors in a soap bubble result from light\n(A) converted to a different\
\ frequency (B) deflection (C) interference (D) polarization\nA: Let's think step\
\ by step. In a soap bubble film, the light bounces between the two soap-air interfaces\
\ many times, interfering with itself constructively or destructively depending\
\ on the width of the film. This results in different colors being visible. The\
\ answer is (C).\n\nQ: Compared with the mass of a uranium atom undergoing fission,\
\ the combined masses of the products after fission are\n(A) less (B) more (C) the\
\ same (D) zero\nA: Let's think step by step. Fission releases energy, which comes\
\ from the rest mass of its initial nucleus. Thus the mass of the products is less\
\ than the mass of the reactant uranium nucleus. The answer is (A).\n\nQ: Things\
\ that are equivalent according to the equivalence principle are\n(A) space and\
\ time. (B) a traveling twin and a stay-at-home twin. (C) gravity and acceleration.\
\ (D) mass and energy.\nA: Let's think step by step. Einstein\u2019s famous equivalence\
\ principle states that gravity and acceleration are equivalent. The answer is (C).\n\
\nQ: Which of these three elements has the most mass per nucleon?\n(A) Hydrogen\
\ (B) Iron (C) Uranium (D) Same in each\nA: Let's think step by step. Due to nuclear\
\ binding energy, the mass of an atomic nucleus is less than the sum of individual\
\ masses of the free constituent protons and neutrons; this is known as the mass\
\ defect. Hydrogen has no mass defect because it has only a single nucleon, so it\
\ will have the most mass per nucleon. The answer is (A).\n\nQ: A model airplane\
\ flies slower when flying into the wind and faster with wind at its back. When\
\ launched at right angles to the wind a cross wind its groundspeed compared with\
\ flying in still air is\n(A) the same (B) greater (C) less (D) either greater or\
\ less depending on wind speed\nA: Let's think step by step. The plane\u2019s speed\
\ in the direction of the wind is greater than it would be in the absence of wind,\
\ and its direction orthogonal to the wind is the same as it would be in the absence\
\ of the wind. The total speed, which is these two components added in quadrature,\
\ is thus greater than the speed in still air. The answer is (B)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_conceptual_physics
"dataset_name": "conceptual_physics"
"description": "\nThe following are multiple choice questions (with answers) about\
\ conceptual physics.\n\nQ: Colors in a soap bubble result from light\n(A) converted\
\ to a different frequency (B) deflection (C) interference (D) polarization\nA:\
\ Let's think step by step. In a soap bubble film, the light bounces between the\
\ two soap-air interfaces many times, interfering with itself constructively or\
\ destructively depending on the width of the film. This results in different colors\
\ being visible. The answer is (C).\n\nQ: Compared with the mass of a uranium atom\
\ undergoing fission, the combined masses of the products after fission are\n(A)\
\ less (B) more (C) the same (D) zero\nA: Let's think step by step. Fission releases\
\ energy, which comes from the rest mass of its initial nucleus. Thus the mass of\
\ the products is less than the mass of the reactant uranium nucleus. The answer\
\ is (A).\n\nQ: Things that are equivalent according to the equivalence principle\
\ are\n(A) space and time. (B) a traveling twin and a stay-at-home twin. (C) gravity\
\ and acceleration. (D) mass and energy.\nA: Let's think step by step. Einstein’s\
\ famous equivalence principle states that gravity and acceleration are equivalent.\
\ The answer is (C).\n\nQ: Which of these three elements has the most mass per nucleon?\n\
(A) Hydrogen (B) Iron (C) Uranium (D) Same in each\nA: Let's think step by step.\
\ Due to nuclear binding energy, the mass of an atomic nucleus is less than the\
\ sum of individual masses of the free constituent protons and neutrons; this is\
\ known as the mass defect. Hydrogen has no mass defect because it has only a single\
\ nucleon, so it will have the most mass per nucleon. The answer is (A).\n\nQ: A\
\ model airplane flies slower when flying into the wind and faster with wind at\
\ its back. When launched at right angles to the wind a cross wind its groundspeed\
\ compared with flying in still air is\n(A) the same (B) greater (C) less (D) either\
\ greater or less depending on wind speed\nA: Let's think step by step. The plane’s\
\ speed in the direction of the wind is greater than it would be in the absence\
\ of wind, and its direction orthogonal to the wind is the same as it would be in\
\ the absence of the wind. The total speed, which is these two components added\
\ in quadrature, is thus greater than the speed in still air. The answer is (B)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_conceptual_physics"
dataset_name: econometrics
description: "The following are multiple choice questions (with answers) about econometrics.\n\
"dataset_name": "econometrics"
"description": "The following are multiple choice questions (with answers) about econometrics.\n\
\nQ: Suppose now that a researcher wishes to use information criteria to determine\
\ the optimal lag length for a VAR. 500 observations are available for the bi-variate\
\ VAR, and the values of the determinant of the variance-covariance matrix of residuals\
\ are 0.0336, 0.0169, 0.0084, and 0.0062 for 1, 2, 3, and 4 lags respectively. What\
\ is the optimal model order according to Akaike's information criterion?\n(A) 1\
\ lag (B) 2 lags (C) 3 lags (D) 4 lags\nA: Let's think step by step. We refer to\
\ Wikipedia articles on econometrics for help. Let\u2019s solve this problem step\
\ by step. First of all, let\u2019s recall that for a given set of data, Akaike's\
\ information criterion (AIC) allows us to measure how well a statistical model\
\ fits the data; it is an estimator of prediction error. Here in this problem we\
\ will need to use the formula ln(det(sigma_hat)) + (2 * k / T) to determine the\
\ values of Akaike\u2019s criterion, where ln denotes the natural log function,\
\ det the determinant function, k the total number of parameters in total (across\
\ both equations), and T the number of observations (which, in this case, is equal\
\ to 500). For 1 lag, the number of parameters in total is equal to 6; for 2 lags,\
\ it is 10; for 3 lags, it is 14; and for 4 lags, it is 18. Now, let\u2019s calculate\
\ the values of the criterion for each lag:\n(A) 1 lag: ln(0.0336) + (2 * 6 / 500)\
\ = ln(0.0336) + (12 / 500) = -3.369\n(B) 2 lags: ln(0.0169) + (2 * 10 / 500) =\
\ ln(0.0169) + (20 / 500) = -4.040\n(C) 3 lags: ln(0.0084) + (2 * 14 / 500) = ln(0.0084)\
\ + (28 / 500) =-4.724\n(D) 4 lags: ln(0.0062) + (2 * 18 / 500) = ln(0.0062) + (36\
\ / 500) =-5.011\nBecause the optimal model order according to AIC minimizes the\
\ information criterion, the answer should be the one with the lowest value. In\
\ this case, (D) has the lowest value. The answer is (C).\n\nQ: Consider the following\
\ AR(1) model with the disturbances having zero mean and unit variance\nyt = 0.2\
\ + 0.4 yt-1 + ut\nThe (unconditional) mean of y will be given by\n(A) 0.2 (B) 0.4\
\ (C) 0.5 (D) 0.33\nA: Let's think step by step. We refer to Wikipedia articles\
\ on econometrics for help. Let\u2019s solve this problem step by step. If we have\
\ a an AR(1) model with the disturbances having zero mean and unit variance, then\
\ the unconditional mean of y is equal to the following:\nunconditional mean of\
\ y = (the intercept term) / (1 - autoregressive coefficient)\nWe know that the\
\ intercept term is 0.2 and the autoregressive coefficient is 0.4; thus, we have:\n\
unconditional mean of y = (0.2) / (1 - 0.4) = (0.2) / (0.6) = 2 / 6 = 1 / 3, which\
\ is approximately 0.33. That means that the answer should be (D) 0.33. The answer\
\ is (D).\n\nQ: What would be then consequences for the OLS estimator if heteroscedasticity\
\ is present in a regression model but ignored?\n(A) It will be biased (B) It will\
\ be inconsistent (C) It will be inefficient (D) All of (a), (b) and (c) will be\
\ true.\nA: Let's think step by step. We refer to Wikipedia articles on econometrics\
\ for help. Heteroscedasticity refers to the condition where the variance of the\
\ error terms is not constant across multiple observations. If heteroscedasticity\
\ is present in a regression model, then the coefficient estimates in the OLS estimator\
\ will be not only unbiased and consistent but also inefficient. Because (A) and\
\ (B) are incorrect choices and (C) is a correct choice, (D) cannot be the right\
\ answer. Ultimately, (C) is the only true choice. The answer is (C).\n\nQ: Suppose\
\ that a test statistic has associated with it a p-value of 0.08. Which one of the\
\ following statements is true?\n(i) If the size of the test were exactly 8%, we\
\ would be indifferent between rejecting and not rejecting the null hypothesis\n\
(ii) The null would be rejected if a 10% size of test were used\n(iii) The null\
\ would not be rejected if a 1% size of test were used\n(iv) The null would be rejected\
\ if a 5% size of test were used.\n(A) (ii) and (iv) only (B) (i) and (iii) only\
\ (C) (i), (ii), and (iii) only (D) (i), (ii), (iii), and (iv).\nA: Let's think\
\ step by step. We refer to Wikipedia articles on econometrics for help. Let\u2019\
s reason about each of the options.\n(i) is a true statement.\n(ii) is a true statement.\n\
(iii) is a true statement.\n(iv) is not a true statement. Thus, (i), (ii), and (iii)\
\ are true. The answer is (C).\n\nQ: For a stationary autoregressive process, shocks\
\ will\n(A) Eventually die away (B) Persist indefinitely (C) Grow exponentially\
\ (D) Never occur\nA: Let's think step by step. We refer to Wikipedia articles on\
\ econometrics for help. This is a formal logic problem about stationally process.\
\ For a stationary autoregressive process, shocks will eventually die away. The\
\ answer is (A)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_econometrics
\ Wikipedia articles on econometrics for help. Lets solve this problem step by\
\ step. First of all, lets recall that for a given set of data, Akaike's information\
\ criterion (AIC) allows us to measure how well a statistical model fits the data;\
\ it is an estimator of prediction error. Here in this problem we will need to use\
\ the formula ln(det(sigma_hat)) + (2 * k / T) to determine the values of Akaike’s\
\ criterion, where ln denotes the natural log function, det the determinant function,\
\ k the total number of parameters in total (across both equations), and T the number\
\ of observations (which, in this case, is equal to 500). For 1 lag, the number\
\ of parameters in total is equal to 6; for 2 lags, it is 10; for 3 lags, it is\
\ 14; and for 4 lags, it is 18. Now, lets calculate the values of the criterion\
\ for each lag:\n(A) 1 lag: ln(0.0336) + (2 * 6 / 500) = ln(0.0336) + (12 / 500)\
\ = -3.369\n(B) 2 lags: ln(0.0169) + (2 * 10 / 500) = ln(0.0169) + (20 / 500) =\
\ -4.040\n(C) 3 lags: ln(0.0084) + (2 * 14 / 500) = ln(0.0084) + (28 / 500) =-4.724\n\
(D) 4 lags: ln(0.0062) + (2 * 18 / 500) = ln(0.0062) + (36 / 500) =-5.011\nBecause\
\ the optimal model order according to AIC minimizes the information criterion,\
\ the answer should be the one with the lowest value. In this case, (D) has the\
\ lowest value. The answer is (C).\n\nQ: Consider the following AR(1) model with\
\ the disturbances having zero mean and unit variance\nyt = 0.2 + 0.4 yt-1 + ut\n\
The (unconditional) mean of y will be given by\n(A) 0.2 (B) 0.4 (C) 0.5 (D) 0.33\n\
A: Let's think step by step. We refer to Wikipedia articles on econometrics for\
\ help. Lets solve this problem step by step. If we have a an AR(1) model with\
\ the disturbances having zero mean and unit variance, then the unconditional mean\
\ of y is equal to the following:\nunconditional mean of y = (the intercept term)\
\ / (1 - autoregressive coefficient)\nWe know that the intercept term is 0.2 and\
\ the autoregressive coefficient is 0.4; thus, we have:\nunconditional mean of y\
\ = (0.2) / (1 - 0.4) = (0.2) / (0.6) = 2 / 6 = 1 / 3, which is approximately 0.33.\
\ That means that the answer should be (D) 0.33. The answer is (D).\n\nQ: What would\
\ be then consequences for the OLS estimator if heteroscedasticity is present in\
\ a regression model but ignored?\n(A) It will be biased (B) It will be inconsistent\
\ (C) It will be inefficient (D) All of (a), (b) and (c) will be true.\nA: Let's\
\ think step by step. We refer to Wikipedia articles on econometrics for help. Heteroscedasticity\
\ refers to the condition where the variance of the error terms is not constant\
\ across multiple observations. If heteroscedasticity is present in a regression\
\ model, then the coefficient estimates in the OLS estimator will be not only unbiased\
\ and consistent but also inefficient. Because (A) and (B) are incorrect choices\
\ and (C) is a correct choice, (D) cannot be the right answer. Ultimately, (C) is\
\ the only true choice. The answer is (C).\n\nQ: Suppose that a test statistic has\
\ associated with it a p-value of 0.08. Which one of the following statements is\
\ true?\n(i) If the size of the test were exactly 8%, we would be indifferent between\
\ rejecting and not rejecting the null hypothesis\n(ii) The null would be rejected\
\ if a 10% size of test were used\n(iii) The null would not be rejected if a 1%\
\ size of test were used\n(iv) The null would be rejected if a 5% size of test were\
\ used.\n(A) (ii) and (iv) only (B) (i) and (iii) only (C) (i), (ii), and (iii)\
\ only (D) (i), (ii), (iii), and (iv).\nA: Let's think step by step. We refer to\
\ Wikipedia articles on econometrics for help. Let’s reason about each of the options.\n\
(i) is a true statement.\n(ii) is a true statement.\n(iii) is a true statement.\n\
(iv) is not a true statement. Thus, (i), (ii), and (iii) are true. The answer is\
\ (C).\n\nQ: For a stationary autoregressive process, shocks will\n(A) Eventually\
\ die away (B) Persist indefinitely (C) Grow exponentially (D) Never occur\nA: Let's\
\ think step by step. We refer to Wikipedia articles on econometrics for help. This\
\ is a formal logic problem about stationally process. For a stationary autoregressive\
\ process, shocks will eventually die away. The answer is (A)."
"group": "mmlu_flan_cot_fewshot_social_sciences"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_econometrics"
dataset_name: electrical_engineering
description: "\nThe following are multiple choice questions (with answers) about electrical\
\ engineering.\n\nQ: A point pole has a strength of 4\u03C0 * 10^-4 weber. The force\
\ in newtons on a point pole of 4\u03C0 * 1.5 * 10^-4 weber placed at a distance\
"dataset_name": "electrical_engineering"
"description": "\nThe following are multiple choice questions (with answers) about\
\ electrical engineering.\n\nQ: A point pole has a strength of 4π * 10^-4 weber.\
\ The force in newtons on a point pole of 4π * 1.5 * 10^-4 weber placed at a distance\
\ of 10 cm from it will be\n(A) 15 N. (B) 20 N. (C) 7.5 N. (D) 3.75 N.\nA: Let's\
\ think step by step. The force between two point poles is given by m_1m_2/(mu_0\
\ 4 \\pi r^2), in analogy to Coulomb\u2019s law. Plugging in the values given in\
\ the question, we calculate that the force is approximately 15 N. The answer is\
\ (A).\n\nQ: The coil of a moving coil meter has 100 turns, is 40 mm long and 30\
\ mm wide. The control torque is 240*10-6 N-m on full scale. If magnetic flux density\
\ is 1Wb/m2 range of meter is\n(A) 1 mA. (B) 2 mA. (C) 3 mA. (D) 4 mA.\nA: Let's\
\ think step by step. The torque on a coil in a uniform magnetic field is given\
\ by BANI, where B is the magnetic flux density, A is the area of the coil, N is\
\ the number of turns, and I is the current. So we have that I = (Torque)/(BAN),\
\ or 240e-6/(1200e-6 * 100 * 1) = 2e-3. The answer is (B).\n\nQ: In an SR latch\
\ built from NOR gates, which condition is not allowed\n(A) S=0, R=0 (B) S=0, R=1\
\ (C) S=1, R=0 (D) S=1, R=1\nA: Let's think step by step. An SR latch is a set-reset\
\ latch; in the case where S=1 and R=1, the circuit has no stable state; instead\
\ a race condition will be produced within the circuit, so the device will be in\
\ an undefined state. So S=1, R=1 is an illegal input. The answer is (D).\n\nQ:\
\ Two long parallel conductors carry 100 A. If the conductors are separated by 20\
\ mm, the force per meter of length of each conductor will be\n(A) 100 N. (B) 0.1\
\ N. (C) 1 N. (D) 0.01 N.\nA: Let's think step by step. The magnetic force-per-length\
\ between two current-carrying conductors is given by \\mu_0 I_1 I_2 / (2 \\pi r),\
\ where $r$ is the separation distance and I_1 and I_2 are the currents. Plugging\
\ in 100 A for I_1 and I_2, and 20 mm for r, gives 0.1 N. The answer is (B).\n\n\
Q: In a 2 pole lap winding dc machine , the resistance of one conductor is 2\u03A9\
\ and total number of conductors is 100. Find the total resistance\n(A) 200\u03A9\
\ (B) 100\u03A9 (C) 50\u03A9 (D) 10\u03A9\nA: Let's think step by step. In lap winding,\
\ effectively two resistors are connected in parallel, so the actual resistance\
\ of each pair is 1 Ohm. Since we have 50 pairs, we get a total resistance of 50\
\ Ohms. The answer is (C)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_electrical_engineering
\ 4 \\pi r^2), in analogy to Coulombs law. Plugging in the values given in the\
\ question, we calculate that the force is approximately 15 N. The answer is (A).\n\
\nQ: The coil of a moving coil meter has 100 turns, is 40 mm long and 30 mm wide.\
\ The control torque is 240*10-6 N-m on full scale. If magnetic flux density is\
\ 1Wb/m2 range of meter is\n(A) 1 mA. (B) 2 mA. (C) 3 mA. (D) 4 mA.\nA: Let's think\
\ step by step. The torque on a coil in a uniform magnetic field is given by BANI,\
\ where B is the magnetic flux density, A is the area of the coil, N is the number\
\ of turns, and I is the current. So we have that I = (Torque)/(BAN), or 240e-6/(1200e-6\
\ * 100 * 1) = 2e-3. The answer is (B).\n\nQ: In an SR latch built from NOR gates,\
\ which condition is not allowed\n(A) S=0, R=0 (B) S=0, R=1 (C) S=1, R=0 (D) S=1,\
\ R=1\nA: Let's think step by step. An SR latch is a set-reset latch; in the case\
\ where S=1 and R=1, the circuit has no stable state; instead a race condition will\
\ be produced within the circuit, so the device will be in an undefined state. So\
\ S=1, R=1 is an illegal input. The answer is (D).\n\nQ: Two long parallel conductors\
\ carry 100 A. If the conductors are separated by 20 mm, the force per meter of\
\ length of each conductor will be\n(A) 100 N. (B) 0.1 N. (C) 1 N. (D) 0.01 N.\n\
A: Let's think step by step. The magnetic force-per-length between two current-carrying\
\ conductors is given by \\mu_0 I_1 I_2 / (2 \\pi r), where $r$ is the separation\
\ distance and I_1 and I_2 are the currents. Plugging in 100 A for I_1 and I_2,\
\ and 20 mm for r, gives 0.1 N. The answer is (B).\n\nQ: In a 2 pole lap winding\
\ dc machine , the resistance of one conductor is 2Ω and total number of conductors\
\ is 100. Find the total resistance\n(A) 200Ω (B) 100Ω (C) 50Ω (D) 10Ω\nA: Let's\
\ think step by step. In lap winding, effectively two resistors are connected in\
\ parallel, so the actual resistance of each pair is 1 Ohm. Since we have 50 pairs,\
\ we get a total resistance of 50 Ohms. The answer is (C)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_electrical_engineering"
dataset_name: elementary_mathematics
description: "The following are multiple choice questions (with answers) about elementary\
"dataset_name": "elementary_mathematics"
"description": "The following are multiple choice questions (with answers) about elementary\
\ mathematics.\n\nQ: Olivia used the rule \"Add 11\" to create the number pattern\
\ shown below. 10, 21, 32, 43, 54. Which statement about the number pattern is true?\n\
(A) The 10th number in the pattern will be an even number.\n(B) The number pattern\
......@@ -22,19 +22,20 @@ description: "The following are multiple choice questions (with answers) about e
\ the other choices are incorrect. The answer is (A).\n\nQ: A store sells 107 different\
\ colors of paint. They have 25 cans of each color in storage. The number of cans\
\ of paint the store has in storage can be found using the expression below. 107\
\ \xD7 25. How many cans of paint does the store have in storage?\n(A) 749\n(B)\
\ 2,675\n(C) 2,945\n(D) 4,250\nA: Let's think step by step. We can calculate 107\
\ x 25 = (100 x 25) + (7 x 25) = 2500 + 175 = 2675. The answer is (B).\n\nQ: A total\
\ of 30 players will play basketball at a park. There will be exactly 5 players\
\ on each team. Which statement correctly explains how to find the number of teams\
\ needed?\n(A) Add 5 to 30 to find 35 teams.\n(B) Divide 30 by 5 to find 6 teams.\n\
(C) Multiply 30 and 5 to find 150 teams.\n(D) Subtract 5 from 30 to find 25 teams.\n\
A: Let's think step by step. We want to find the number of teams. We know that there\
\ are 5 players/team, and 30 players. Thus to get the number of teams we divide\
\ players by players/team, so 30 players / 5 players/team = 6 teams. The answer\
\ is (B).\n\nQ: Which expression is equivalent to 5 x 9?\n(A) (5 x 4) x (6 x 5)\n\
(B) (5 x 5) + (5 x 4)\n(C) (5 x 5) + (5 x 9)\n(D) (5 x 9) x (6 x 9)\nA: Let's think\
\ step by step. We know that 9 = (5 + 4), so 5 x 9 = 5 x (5 + 4) = (5 x 5) + (5\
\ x 4). The answer is (B)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_elementary_mathematics
\ × 25. How many cans of paint does the store have in storage?\n(A) 749\n(B) 2,675\n\
(C) 2,945\n(D) 4,250\nA: Let's think step by step. We can calculate 107 x 25 = (100\
\ x 25) + (7 x 25) = 2500 + 175 = 2675. The answer is (B).\n\nQ: A total of 30 players\
\ will play basketball at a park. There will be exactly 5 players on each team.\
\ Which statement correctly explains how to find the number of teams needed?\n(A)\
\ Add 5 to 30 to find 35 teams.\n(B) Divide 30 by 5 to find 6 teams.\n(C) Multiply\
\ 30 and 5 to find 150 teams.\n(D) Subtract 5 from 30 to find 25 teams.\nA: Let's\
\ think step by step. We want to find the number of teams. We know that there are\
\ 5 players/team, and 30 players. Thus to get the number of teams we divide players\
\ by players/team, so 30 players / 5 players/team = 6 teams. The answer is (B).\n\
\nQ: Which expression is equivalent to 5 x 9?\n(A) (5 x 4) x (6 x 5)\n(B) (5 x 5)\
\ + (5 x 4)\n(C) (5 x 5) + (5 x 9)\n(D) (5 x 9) x (6 x 9)\nA: Let's think step by\
\ step. We know that 9 = (5 + 4), so 5 x 9 = 5 x (5 + 4) = (5 x 5) + (5 x 4). The\
\ answer is (B)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_elementary_mathematics"
dataset_name: formal_logic
description: "The following are multiple choice questions (with answers) about formal\
"dataset_name": "formal_logic"
"description": "The following are multiple choice questions (with answers) about formal\
\ logic.\n\nQ: Which of the given formulas of PL is the best symbolization of the\
\ following sentence?\nTurtles live long lives and are happy creatures, unless they\
\ are injured.\n(A) (L \u2022 H) \u2261 I (B) (L \u2022 H) \u2228 I (C) L \u2022\
\ (H \u2228 I) (D) L \u2022 (H \u2283 R).\nA: Let's think step by step. We refer\
\ to Wikipedia articles on formal logic for help. Let\u2019s solve this step by\
\ step. Let \u201CL\u201D denote \u201Cliving long\u201D, H \u201Cbeing happy\u201D\
, and \u201CI\u201D \u201Cbeing injured\u201D. Now, consider each choice:\n(A) means\
\ (living long AND being happy) is equivalent to (being injured). \n(B) means (living\
\ long AND being happy) OR (being injured). \n(C) means (living long) AND (being\
\ happy OR being injured). \n(D) means (living long) AND (being happy implies being\
\ R), but what R denotes is not clear.\nObviously, (B) is the best symbolization\
\ of the original sentence. The answer is (B).\n\nQ: Select the best translation\
\ into predicate logic.George borrows Hector's lawnmower. (g: George; h: Hector;\
\ l: Hector's lawnmower; Bxyx: x borrows y from z).\n(A) Blgh (B) Bhlg (C) Bglh\
\ (D) Bghl\nA: Let's think step by step. We refer to Wikipedia articles on formal\
\ logic for help. Let\u2019s solve this step by step. We are told that \u201CBxyx\u201D\
\ means \u201Cx borrows y from z\u201D. We can rewrite \u201CGeorge borrows Hector's\
\ lawnmower\u201D as \u201CGeorge borrows a lawnmower from Hector\u201D, which can\
\ then be translated into predicate logic as \u201CBglh\u201D. The answer \u201C\
Bglh\u201D appears in (C); therefore, (C) must be the correct answer. The answer\
\ is (C).\n\nQ: \nSelect the best English interpretation of the given arguments\
\ in predicate logic.\nDm\n(\u2200x)(Wx \u2283 ~Dx). \n(\u2200x)Wx \u2228 Ag\t/\
\ (\u2203x)Ax\n(A) Marina is a dancer. Some weaklings are not dancers. Either everything\
\ is a weakling or Georgia plays volleyball. So something plays volleyball. (B)\
\ Marina is a dancer. No weakling is a dancer. Everything is either a weakling or\
\ plays volleyball. So something plays volleyball. (C) Marina is a dancer. Some\
\ weaklings are not dancers. Everything is either a weakling or plays volleyball.\
\ So something plays volleyball. (D) Marina is a dancer. No weakling is a dancer.\
\ Either everything is a weakling or Georgia plays volleyball. So something plays\
\ volleyball.\nA: Let's think step by step. We refer to Wikipedia articles on formal\
\ logic for help. Let\u2019s solve this step by step. Let \u201CD\u201D denote \u201C\
being a dancer\u201D, \u201Cm\u201D denote \u201CMaria\u201D, \u201Cg\u201D denote\
\ \u201CGeorgia\u201D, \u201CW\u201D denote \u201Cweakling\u201D, \u201CA\u201D\
\ denote \u201Cplaying volleyball\u201D. Then, we have the following:\n1. Dm \u2192\
\ Maria is a dance.\n2. (\u2200x)(Wx \u2283 ~Dx). \u2192 For all x, if x is a weakling,\
\ then x is not a dancer. In other words, no weakling is a dancer.\n3. (\u2200x)Wx\
\ \u2228 Ag\t/ (\u2203x)Ax \u2192 For all x, x is a weakling or Georgia plays volleyball.\
\ So there exists an x that plays volleyball. \nOptions (A) and (C) do claim that\
\ some weaklings are not dancers, but the second argument strongly states that no\
\ weakling is a dancer. Thus, we can eliminate them. Option (B) omits the important\
\ detail about Georgia playing volleyball. Option (D) has all the details presented\
\ in the arguments and is the best English interpretation of the arguments. The\
\ answer is (D).\n\nQ: Select the best translation into predicate logic: No people\
\ drive on Mars.\n(A) ~Pd (B) (\u2200x)(Px \u2228 ~Dx) (C) (\u2200x)(Px \u2283 ~Dx)\
\ (D) ~Dp\nA: Let's think step by step. We refer to Wikipedia articles on formal\
\ logic for help. Let\u2019s solve this step by step. Let \u201CP\u201D denote \u201C\
being on Mars\u201D and \u201CD\u201D denote \u201Cdriving on Mars\u201D. Then let\u2019\
s consider each option:\nOption (A): ~Pd \u2192 d is not on Mars.\nOption (B): (\u2200\
x)(Px \u2228 ~Dx) \u2192 For all x, x is on Mars and x do not drive on Mars.\nOption\
\ (C): (\u2200x)(Px \u2283 ~Dx) \u2192 For all x, x is on Mars implies that x do\
\ not drive on Mars.\nOption (D): ~Dp: \u2192 p do not drive on Mars.\nOf all these\
\ options, Option (C) appears to be the best and most meaningful interpretation\
\ of the argument \u201CNo people drive on Mars.\u201D The answer is (C)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_formal_logic
\ are injured.\n(A) (L H) I (B) (L H) I (C) L (H I) (D) L (H R).\n\
A: Let's think step by step. We refer to Wikipedia articles on formal logic for\
\ help. Let’s solve this step by step. Let “L” denote “living long”, H “being happy”,\
\ and “I” “being injured”. Now, consider each choice:\n(A) means (living long AND\
\ being happy) is equivalent to (being injured). \n(B) means (living long AND being\
\ happy) OR (being injured). \n(C) means (living long) AND (being happy OR being\
\ injured). \n(D) means (living long) AND (being happy implies being R), but what\
\ R denotes is not clear.\nObviously, (B) is the best symbolization of the original\
\ sentence. The answer is (B).\n\nQ: Select the best translation into predicate\
\ logic.George borrows Hector's lawnmower. (g: George; h: Hector; l: Hector's lawnmower;\
\ Bxyx: x borrows y from z).\n(A) Blgh (B) Bhlg (C) Bglh (D) Bghl\nA: Let's think\
\ step by step. We refer to Wikipedia articles on formal logic for help. Let’s solve\
\ this step by step. We are told that “Bxyx” means “x borrows y from z”. We can\
\ rewrite “George borrows Hector's lawnmower” as “George borrows a lawnmower from\
\ Hector”, which can then be translated into predicate logic as “Bglh”. The answer\
\ “Bglh” appears in (C); therefore, (C) must be the correct answer. The answer is\
\ (C).\n\nQ: \nSelect the best English interpretation of the given arguments in\
\ predicate logic.\nDm\n(∀x)(Wx ~Dx). \n(∀x)Wx Ag\t/ (∃x)Ax\n(A) Marina is a\
\ dancer. Some weaklings are not dancers. Either everything is a weakling or Georgia\
\ plays volleyball. So something plays volleyball. (B) Marina is a dancer. No weakling\
\ is a dancer. Everything is either a weakling or plays volleyball. So something\
\ plays volleyball. (C) Marina is a dancer. Some weaklings are not dancers. Everything\
\ is either a weakling or plays volleyball. So something plays volleyball. (D) Marina\
\ is a dancer. No weakling is a dancer. Either everything is a weakling or Georgia\
\ plays volleyball. So something plays volleyball.\nA: Let's think step by step.\
\ We refer to Wikipedia articles on formal logic for help. Let’s solve this step\
\ by step. Let “D” denote “being a dancer”, “m” denote “Maria”, “g” denote “Georgia”,\
\ “W” denote “weakling”, “A” denote “playing volleyball”. Then, we have the following:\n\
1. Dm Maria is a dance.\n2. (∀x)(Wx ~Dx). For all x, if x is a weakling, then\
\ x is not a dancer. In other words, no weakling is a dancer.\n3. (∀x)Wx Ag\t\
/ (∃x)Ax For all x, x is a weakling or Georgia plays volleyball. So there exists\
\ an x that plays volleyball. \nOptions (A) and (C) do claim that some weaklings\
\ are not dancers, but the second argument strongly states that no weakling is a\
\ dancer. Thus, we can eliminate them. Option (B) omits the important detail about\
\ Georgia playing volleyball. Option (D) has all the details presented in the arguments\
\ and is the best English interpretation of the arguments. The answer is (D).\n\n\
Q: Select the best translation into predicate logic: No people drive on Mars.\n\
(A) ~Pd (B) (∀x)(Px ~Dx) (C) (∀x)(Px ~Dx) (D) ~Dp\nA: Let's think step by step.\
\ We refer to Wikipedia articles on formal logic for help. Let’s solve this step\
\ by step. Let “P” denote “being on Mars” and “D” denote “driving on Mars”. Then\
\ let’s consider each option:\nOption (A): ~Pd d is not on Mars.\nOption (B):\
\ (∀x)(Px ~Dx) For all x, x is on Mars and x do not drive on Mars.\nOption (C):\
\ (∀x)(Px ~Dx) For all x, x is on Mars implies that x do not drive on Mars.\n\
Option (D): ~Dp: p do not drive on Mars.\nOf all these options, Option (C) appears\
\ to be the best and most meaningful interpretation of the argument “No people drive\
\ on Mars.” The answer is (C)."
"group": "mmlu_flan_cot_fewshot_humanities"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_formal_logic"
dataset_name: global_facts
description: "The following are multiple choice questions (with answers) about global\
\ facts.\n\nQ: As of 2017, how many of the world\u2019s 1-year-old children today\
\ have been vaccinated against some disease? *\n(A) 80% (B) 60% (C) 40% (D) 20%\n\
A: Let's think step by step. We refer to Wikipedia articles on global facts for\
\ help. According to data published by the World Health Organization, the nummber\
\ of 1-year-old children vaccinated in 2017 exceeds 80%. The answer is (A).\n\n\
Q: As of 2019, about what percentage of Americans agree that the state is run for\
\ the benefit of all the people?\n(A) 31% (B) 46% (C) 61% (D) 76%\nA: Let's think\
\ step by step. We refer to Wikipedia articles on global facts for help. In 2019,\
\ about 46% percentage of Americans agree that the state is run for the benefit\
\ of all the people. The answer is (B).\n\nQ: As of 2019, about what percentage\
\ of Russians say it is very important to have free media in our country without\
\ government/state censorship?\n(A) 38% (B) 53% (C) 68% (D) 83%\nA: Let's think\
\ step by step. We refer to Wikipedia articles on global facts for help. As of 2019,\
\ about 38% of Russians say it is very important to have free media in our country.\
\ The answer is (A).\n\nQ: As of 2015, since 1990 forests have ____ in Europe and\
\ have ____ in Africa and the Americas.\n(A) increased, increased (B) increased,\
\ decreased (C) decreased, increased (D) decreased, decreased\nA: Let's think step\
\ by step. We refer to Wikipedia articles on global facts for help. As of 2015,\
\ since 1990 forests have increased in Europe and have decreased in Africa and the\
\ Americas. The answer is (B).\n\nQ: Which of the following pairs of statements\
\ are both true (as of 2019)?\n(A) People tend to be optimistic about their own\
\ future and the future of their nation or the world. (B) People tend to be optimistic\
"dataset_name": "global_facts"
"description": "The following are multiple choice questions (with answers) about global\
\ facts.\n\nQ: As of 2017, how many of the world’s 1-year-old children today have\
\ been vaccinated against some disease? *\n(A) 80% (B) 60% (C) 40% (D) 20%\nA: Let's\
\ think step by step. We refer to Wikipedia articles on global facts for help. According\
\ to data published by the World Health Organization, the nummber of 1-year-old\
\ children vaccinated in 2017 exceeds 80%. The answer is (A).\n\nQ: As of 2019,\
\ about what percentage of Americans agree that the state is run for the benefit\
\ of all the people?\n(A) 31% (B) 46% (C) 61% (D) 76%\nA: Let's think step by step.\
\ We refer to Wikipedia articles on global facts for help. In 2019, about 46% percentage\
\ of Americans agree that the state is run for the benefit of all the people. The\
\ answer is (B).\n\nQ: As of 2019, about what percentage of Russians say it is very\
\ important to have free media in our country without government/state censorship?\n\
(A) 38% (B) 53% (C) 68% (D) 83%\nA: Let's think step by step. We refer to Wikipedia\
\ articles on global facts for help. As of 2019, about 38% of Russians say it is\
\ very important to have free media in our country. The answer is (A).\n\nQ: As\
\ of 2015, since 1990 forests have ____ in Europe and have ____ in Africa and the\
\ Americas.\n(A) increased, increased (B) increased, decreased (C) decreased, increased\
\ (D) decreased, decreased\nA: Let's think step by step. We refer to Wikipedia articles\
\ on global facts for help. As of 2015, since 1990 forests have increased in Europe\
\ and have decreased in Africa and the Americas. The answer is (B).\n\nQ: Which\
\ of the following pairs of statements are both true (as of 2019)?\n(A) People tend\
\ to be optimistic about their own future and the future of their nation or the\
\ world. (B) People tend to be optimistic about their own future but pessimistic\
\ about the future of their nation or the world. (C) People tend to be pessimistic\
\ about their own future but optimistic about the future of their nation or the\
\ world. (D) People tend to be pessimistic about their own future and the future\
\ of their nation or the world.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on global facts for help. As of 2019, most people tend to be optimistic\
\ about their own future but pessimistic about the future of their nation or the\
\ world. (C) People tend to be pessimistic about their own future but optimistic\
\ about the future of their nation or the world. (D) People tend to be pessimistic\
\ about their own future and the future of their nation or the world.\nA: Let's\
\ think step by step. We refer to Wikipedia articles on global facts for help. As\
\ of 2019, most people tend to be optimistic about their own future but pessimistic\
\ about the future of their nation or the world. The answer is (B)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_global_facts
\ world. The answer is (B)."
"group": "mmlu_flan_cot_fewshot_other"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_global_facts"
dataset_name: high_school_biology
description: "The following are multiple choice questions (with answers) about high\
"dataset_name": "high_school_biology"
"description": "The following are multiple choice questions (with answers) about high\
\ school biology.\n\nQ: In animal cells, which of the following represents the most\
\ likely pathway that a secretory protein takes as it is synthesized in a cell?\n\
(A) Plasma membrane\u2013Golgi apparatus\u2013ribosome\u2013secretory vesicle\u2013\
rough ER (B) Ribosome\u2013Golgi apparatus\u2013rough ER\u2013secretory vesicle\u2013\
plasma membrane (C) Plasma membrane\u2013Golgi apparatus\u2013ribosome\u2013secretory\
\ vesicle\u2013rough ER (D) Ribosome\u2013rough ER\u2013Golgi apparatus\u2013secretory\
\ vesicle\u2013plasma membrane\nA: Let's think step by step. Protein synthesis starts\
(A) Plasma membrane–Golgi apparatus–ribosome–secretory vesicle–rough ER (B) Ribosome–Golgi\
\ apparatus–rough ER–secretory vesicle–plasma membrane (C) Plasma membrane–Golgi\
\ apparatus–ribosome–secretory vesicle–rough ER (D) Ribosome–rough ER–Golgi apparatus–secretory\
\ vesicle–plasma membrane\nA: Let's think step by step. Protein synthesis starts\
\ at the ribosome, so we can eliminate (A) and (C). The ribosome is often in the\
\ endoplasmic reticulum and moves from there to the Golgi apparatus, where it is\
\ modified and packaged into a vesicle. The vesicle then floats to the plasma membrane\
\ and is secreted. The answer is (D).\n\nQ: A mutation in a bacterial enzyme changed\
\ a previously polar amino acid into a nonpolar amino acid. This amino acid was\
\ located at a site distant from the enzyme\u2019s active site. How might this mutation\
\ alter the enzyme\u2019s substrate specificity?\n(A) By changing the enzyme\u2019\
s pH optimum (B) By changing the enzyme\u2019s location in the cell (C) By changing\
\ the shape of the protein (D) An amino acid change away from the active site cannot\
\ alter the enzyme\u2019s substrate specificity.\nA: Let's think step by step. A\
\ change in an amino acid leads to a change in the primary structure of the protein.\
\ A change in the primary structure may lead to a change in the secondary and the\
\ tertiary structure of the protein. A change in the tertiary structure means a\
\ change in the shape of the protein, so (C) has to be correct. Since the change\
\ does not affect the active site of the enzyme, we do not expect the activity of\
\ the enzyme to be affected. The answer is (C).\n\nQ: Which of the following is\
\ not a way to form recombinant DNA?\n(A) Translation (B) Conjugation (C) Specialized\
\ transduction (D) Transformation\nA: Let's think step by step. The introduction\
\ of foreign DNA or RNA into bacteria or eukaryotic cells is a common technique\
\ in molecular biology and scientific research. There are multiple ways foreign\
\ DNA can be introduced into cells including transformation, transduction, conjugation,\
\ and transfection. In contrast, (A) is not a way to form DNA: during translation\
\ the ribosomes synthesize proteins from RNA. The answer is (A).\n\nQ: Homologous\
\ structures are often cited as evidence for the process of natural selection. All\
\ of the following are examples of homologous structures EXCEPT\n(A) the wings of\
\ a bird and the wings of a bat (B) the flippers of a whale and the arms of a man\
\ (C) the pectoral fins of a porpoise and the flippers of a seal (D) the forelegs\
\ of an insect and the forelimbs of a dog\nA: Let's think step by step. \u200B\u200B\
Homologous structures are similar physical features in organisms that share a common\
\ ancestor \u200B\u200Bbut different functions. Comparisons (B) and (C) are clearly\
\ homologous because they share a common ancestor and the structures serve different\
\ purposes. Bat wings and birg wings are also homologous, while they are both wings,\
\ the forelimbs serve different purposes. Insects and dogs are very far ancestors\
\ since one is vertebrate while the other is invertebrate and the forelimbs serve\
\ the same purpose, so they are not homologous. The answer is (D).\n\nQ: Which of\
\ the following is not known to be involved in the control of cell division?\n(A)\
\ Cyclins (B) Protein kinases (C) Checkpoints (D) Fibroblast cells\nA: Let's think\
\ step by step. Normal cells move through the cell cycle in a regulated way. At\
\ the checkpoint stage, they use information about their own internal state and\
\ cues from the environment around them to decide whether to proceed with cell division.\
\ Cues like these act by changing the activity of core cell cycle regulators inside\
\ the cell. The most common regulators are cyclins and cyclin-dependent kinases.\
\ Fibroblast cells do not play any role in cell division. The answer is (D)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_biology
\ located at a site distant from the enzyme’s active site. How might this mutation\
\ alter the enzyme’s substrate specificity?\n(A) By changing the enzyme’s pH optimum\
\ (B) By changing the enzyme’s location in the cell (C) By changing the shape of\
\ the protein (D) An amino acid change away from the active site cannot alter the\
\ enzyme’s substrate specificity.\nA: Let's think step by step. A change in an amino\
\ acid leads to a change in the primary structure of the protein. A change in the\
\ primary structure may lead to a change in the secondary and the tertiary structure\
\ of the protein. A change in the tertiary structure means a change in the shape\
\ of the protein, so (C) has to be correct. Since the change does not affect the\
\ active site of the enzyme, we do not expect the activity of the enzyme to be affected.\
\ The answer is (C).\n\nQ: Which of the following is not a way to form recombinant\
\ DNA?\n(A) Translation (B) Conjugation (C) Specialized transduction (D) Transformation\n\
A: Let's think step by step. The introduction of foreign DNA or RNA into bacteria\
\ or eukaryotic cells is a common technique in molecular biology and scientific\
\ research. There are multiple ways foreign DNA can be introduced into cells including\
\ transformation, transduction, conjugation, and transfection. In contrast, (A)\
\ is not a way to form DNA: during translation the ribosomes synthesize proteins\
\ from RNA. The answer is (A).\n\nQ: Homologous structures are often cited as evidence\
\ for the process of natural selection. All of the following are examples of homologous\
\ structures EXCEPT\n(A) the wings of a bird and the wings of a bat (B) the flippers\
\ of a whale and the arms of a man (C) the pectoral fins of a porpoise and the flippers\
\ of a seal (D) the forelegs of an insect and the forelimbs of a dog\nA: Let's think\
\ step by step. ​​Homologous structures are similar physical features in organisms\
\ that share a common ancestor ​​but different functions. Comparisons (B) and (C)\
\ are clearly homologous because they share a common ancestor and the structures\
\ serve different purposes. Bat wings and birg wings are also homologous, while\
\ they are both wings, the forelimbs serve different purposes. Insects and dogs\
\ are very far ancestors since one is vertebrate while the other is invertebrate\
\ and the forelimbs serve the same purpose, so they are not homologous. The answer\
\ is (D).\n\nQ: Which of the following is not known to be involved in the control\
\ of cell division?\n(A) Cyclins (B) Protein kinases (C) Checkpoints (D) Fibroblast\
\ cells\nA: Let's think step by step. Normal cells move through the cell cycle in\
\ a regulated way. At the checkpoint stage, they use information about their own\
\ internal state and cues from the environment around them to decide whether to\
\ proceed with cell division. Cues like these act by changing the activity of core\
\ cell cycle regulators inside the cell. The most common regulators are cyclins\
\ and cyclin-dependent kinases. Fibroblast cells do not play any role in cell division.\
\ The answer is (D)."
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_biology"
dataset_name: high_school_chemistry
description: "The following are multiple choice questions (with answers) about high\
"dataset_name": "high_school_chemistry"
"description": "The following are multiple choice questions (with answers) about high\
\ school chemistry.\n\nQ: Which of the following is considered an acid anhydride?\n\
(A) HCl (B) H2SO3 (C) SO2 (D) Al(NO3)3\nA: Let's think step by step. An acid anhydride\
\ is a compound that is derived by removing water from an acid. The chemical formula\
......@@ -45,5 +45,6 @@ description: "The following are multiple choice questions (with answers) about h
\ the acetate ion. The added strong acid, Nitric acid, will react with the conjugate\
\ base. Therefore the maximum amount of acid that can be added will be equal to\
\ the amount of acetate ion, or 2 moles. The answer is (C)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_chemistry
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_chemistry"
dataset_name: high_school_computer_science
description: "The following are multiple choice questions (with answers) about high\
"dataset_name": "high_school_computer_science"
"description": "The following are multiple choice questions (with answers) about high\
\ school computer science.\n\nQ: Which of the following is an example of the use\
\ of a device on the Internet of Things (IoT) ?\n(A) A car alerts a driver that\
\ it is about to hit an object. (B) A hiker uses a G P S watch to keep track of\
......@@ -26,9 +26,9 @@ description: "The following are multiple choice questions (with answers) about h
\ launched from any web sites visited or files downloaded.\nA: Let's think step\
\ by step. Choice A is incorrect as it only describes network traffic, which an\
\ anonymous browser does not change. Choice B is correct as it correctly describes\
\ how an anonymous browser will prevent saving data on the user\u2019s computer\
\ after the session is ended. Choice C is incorrect because an anonymous browser\
\ will not prevent logging in to email or social media accounts. Choice D is incorrect\
\ how an anonymous browser will prevent saving data on the users computer after\
\ the session is ended. Choice C is incorrect because an anonymous browser will\
\ not prevent logging in to email or social media accounts. Choice D is incorrect\
\ because an anonymous browser in itself performs no virus protection. The answer\
\ is (B).\n\nQ: In the program below, the initial value of X is 5 and the initial\
\ value of Y is 10.\nIF (X < 0){\n DISPLAY (\"Foxtrot\")\n} ELSE {\n IF (X > Y){\n\
......@@ -66,5 +66,6 @@ description: "The following are multiple choice questions (with answers) about h
\ its value is greater than 100, regardless of the elements in the list. Choice\
\ D is incorrect because its step 3 does not increment the value of position, so\
\ it will repeat forever. The answer is (B)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_computer_science
"group": "mmlu_flan_cot_fewshot_stem"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_computer_science"
dataset_name: high_school_european_history
description: "The following are multiple choice questions (with answers) about high\
"dataset_name": "high_school_european_history"
"description": "The following are multiple choice questions (with answers) about high\
\ school european history.\n\nQ: This question refers to the following information.\n\
Albeit the king's Majesty justly and rightfully is and ought to be the supreme head\
\ of the Church of England, and so is recognized by the clergy of this realm in\
......@@ -34,7 +34,7 @@ description: "The following are multiple choice questions (with answers) about h
\ the corruption in the Church of England. The answer is (D).\n\nQ: This question\
\ refers to the following information.\nRead the following excerpt.\nThe revolutionary\
\ seed had penetrated into every country and spread more or less. It was greatly\
\ developed under the r\xE9gime of the military despotism of Bonaparte. His conquests\
\ developed under the régime of the military despotism of Bonaparte. His conquests\
\ displaced a number of laws, institutions, and customs; broke through bonds sacred\
\ among all nations, strong enough to resist time itself; which is more than can\
\ be said of certain benefits conferred by these innovators.\nThe monarchs will\
......@@ -55,9 +55,9 @@ description: "The following are multiple choice questions (with answers) about h
Let them maintain religious principles in all their purity, and not allow the faith\
\ to be attacked and morality interpreted according to the social contract or the\
\ visions of foolish sectarians.\nLet them suppress Secret Societies; that gangrene\
\ of society.\n\u2014Klemens von Metternich, Political Confession of Faith, 1820\n\
Which of the following was the greatest cause of the fears expressed by Metternich\
\ in the document above?\n(A) The ideas of personal liberty and nationalism conceived\
\ of society.\nKlemens von Metternich, Political Confession of Faith, 1820\nWhich\
\ of the following was the greatest cause of the fears expressed by Metternich in\
\ the document above?\n(A) The ideas of personal liberty and nationalism conceived\
\ during the Enlightenment resulted in radical revolutions that could spread throughout\
\ Europe. (B) The conquest of Europe by Napoleon led to the creation of new factions\
\ and shifted the European balance of power. (C) The power of monarchs had grown\
......@@ -110,15 +110,15 @@ description: "The following are multiple choice questions (with answers) about h
\ were all turning to the politicians; the famous Nihilists who made Europe tremble-sons\
\ of village priests, of the lower middle class, of tradesmen-could not rise above\
\ the idea of national liberation, and seemed to believe that the world would be\
\ delivered-when they had killed their despot&\u2026\n\"Foolery! They'll never get\
\ out of it with their foolery.\"\nThen, lowering his voice still more, in a few\
\ bitter words he described his old dream of fraternity. He had renounced his rank\
\ and his fortune; he had gone among workmen, only in the hope of seeing at last\
\ the foundation of a new society of labour in common. All the sous in his pockets\
\ had long gone to the urchins of the settlement; he had been as tender as a brother\
\ delivered-when they had killed their despot&\n\"Foolery! They'll never get out\
\ of it with their foolery.\"\nThen, lowering his voice still more, in a few bitter\
\ words he described his old dream of fraternity. He had renounced his rank and\
\ his fortune; he had gone among workmen, only in the hope of seeing at last the\
\ foundation of a new society of labour in common. All the sous in his pockets had\
\ long gone to the urchins of the settlement; he had been as tender as a brother\
\ with the colliers, smiling at their suspicion, winning them over by his quiet\
\ workmanlike ways and his dislike of chattering. But decidedly the fusion had not\
\ taken place.\nHis voice changed, his eyes grew bright, he fixed them on \xE9tienne,\
\ taken place.\nHis voice changed, his eyes grew bright, he fixed them on étienne,\
\ directly addressing him:\n\"Now, do you understand that? These hatworkers at Marseilles\
\ who have won the great lottery prize of a hundred thousand francs have gone off\
\ at once and invested it, declaring that they are going to live without doing anything!\
......@@ -127,7 +127,7 @@ description: "The following are multiple choice questions (with answers) about h
\ out as much as you like against the rich, you haven't got courage enough to give\
\ back to the poor the money that luck brings you. You will never be worthy of happiness\
\ as long as you own anything, and your hatred of the bourgeois proceeds solely\
\ from an angry desire to be bourgeois yourselves in their place.\"\n\xE9mile Zola,\
\ from an angry desire to be bourgeois yourselves in their place.\"\némile Zola,\
\ French writer, Germinal, 1885\nThe passage displays the direct concern for the\
\ welfare of the working classes that was typically a part of which movement?\n\
(A) Capitalist (B) Scientific (C) Communist (D) Existentialist\nA: Let's think step\
......@@ -156,13 +156,14 @@ description: "The following are multiple choice questions (with answers) about h
\ whether Jewish, Christian or Turkish, appear to me no other than human inventions,\
\ set up to terrify and enslave mankind, and monopolize power and profit.\nI do\
\ not mean by this declaration to condemn those who believe otherwise; they have\
\ the same right to their belief as I have to mine.\n\u2014Thomas Paine, The Age\
\ of Reason, 1794\u20131795\nWhich of the following Enlightenment philosophes designed\
\ a system of checks and balances for government to avoid abuses of power?\n(A)\
\ Jean Jacques Rousseau (B) Baron Montesquieu (C) Mary Wollstonecraft (D) Adam Smith\n\
A: Let's think step by step. We refer to Wikipedia articles on european history\
\ for help. Baron Montesquieu was a 18th centrury French philsopher who wrote extensively\
\ the same right to their belief as I have to mine.\nThomas Paine, The Age of Reason,\
\ 1794–1795\nWhich of the following Enlightenment philosophes designed a system\
\ of checks and balances for government to avoid abuses of power?\n(A) Jean Jacques\
\ Rousseau (B) Baron Montesquieu (C) Mary Wollstonecraft (D) Adam Smith\nA: Let's\
\ think step by step. We refer to Wikipedia articles on european history for help.\
\ Baron Montesquieu was a 18th centrury French philsopher who wrote extensively\
\ against the monoplization of power and advocated for a system of checks and balances\
\ in government to prevent the rise of despotism. The answer is (B)."
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_european_history
"group": "mmlu_flan_cot_fewshot_humanities"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_european_history"
dataset_name: high_school_geography
description: 'The following are multiple choice questions (with answers) about high
school geography.
Q: Which one of the following items is an example of nonmaterial culture?
(A) Dove soap (B) Dove candy bar (C) Dove symbol (D) A dove (bird).
A: Let''s think step by step. We refer to Wikipedia articles on geography for help.
Nonmaterial culture consists of cultural ideas, beliefs or symbols that are not
physical objects. The answer is (C).
Q: During the third stage of the demographic transition model, which of the following
is true?
(A) Birth rates increase and population growth rate is less rapid. (B) Birth rates
decline and population growth rate is less rapid. (C) Birth rates increase and population
growth rate increases. (D) Birth rates decrease and population growth rate increases.
A: Let''s think step by step. We refer to Wikipedia articles on geography for help.
The demographic transition model models the five different stages of population
growth as a country goes through economic development, where the third stage refers
to a period of declining birth rates and lower population growth. The answer is
(B).
Q: The practice of hiring a foreign third-party service provider to run an operation
is called
(A) outsourcing. (B) offshoring. (C) maquiladoras. (D) locational interdependence.
A: Let''s think step by step. We refer to Wikipedia articles on geography for help.
"Offshoring" literally means to move or base some of the activities or processes
of a company to a foreign country. The answer is (B).
Q: Which of the following statements is NOT accurate regarding the services provided
by local governments in the United States?
(A) Duplication of efforts occurs often. (B) Social problems of the central city
spill over into the surrounding residential suburbs. (C) Inefficiency in providing
services occurs often. (D) One neighborhood''s efforts to reduce pollution are always
supported by neighboring communities.
A: Let''s think step by step. We refer to Wikipedia articles on geography for help.
There may be economic, social or political reasons for two neighboring communities
and their local governments not agreeing to pollution reduction efforts initiated
by one of them. The answer is (D).
Q: The rate of natural increase of a population is found by subtracting the
(A) crude death rate from the crude birth date. (B) crude birth rate from the crude
death rate. (C) doubling time from the crude birth rate. (D) fertility rate from
the crude death rate.
A: Let''s think step by step. We refer to Wikipedia articles on geography for help.
The difference between number of births and deaths gives the population increase
at any given time. The answer is (A).'
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_geography
"dataset_name": "high_school_geography"
"description": "The following are multiple choice questions (with answers) about high\
\ school geography.\n\nQ: Which one of the following items is an example of nonmaterial\
\ culture?\n(A) Dove soap (B) Dove candy bar (C) Dove symbol (D) A dove (bird).\n\
A: Let's think step by step. We refer to Wikipedia articles on geography for help.\
\ Nonmaterial culture consists of cultural ideas, beliefs or symbols that are not\
\ physical objects. The answer is (C).\n\nQ: During the third stage of the demographic\
\ transition model, which of the following is true?\n(A) Birth rates increase and\
\ population growth rate is less rapid. (B) Birth rates decline and population growth\
\ rate is less rapid. (C) Birth rates increase and population growth rate increases.\
\ (D) Birth rates decrease and population growth rate increases.\nA: Let's think\
\ step by step. We refer to Wikipedia articles on geography for help. The demographic\
\ transition model models the five different stages of population growth as a country\
\ goes through economic development, where the third stage refers to a period of\
\ declining birth rates and lower population growth. The answer is (B).\n\nQ: The\
\ practice of hiring a foreign third-party service provider to run an operation\
\ is called\n(A) outsourcing. (B) offshoring. (C) maquiladoras. (D) locational interdependence.\n\
A: Let's think step by step. We refer to Wikipedia articles on geography for help.\
\ \"Offshoring\" literally means to move or base some of the activities or processes\
\ of a company to a foreign country. The answer is (B).\n\nQ: Which of the following\
\ statements is NOT accurate regarding the services provided by local governments\
\ in the United States?\n(A) Duplication of efforts occurs often. (B) Social problems\
\ of the central city spill over into the surrounding residential suburbs. (C) Inefficiency\
\ in providing services occurs often. (D) One neighborhood's efforts to reduce pollution\
\ are always supported by neighboring communities.\nA: Let's think step by step.\
\ We refer to Wikipedia articles on geography for help. There may be economic, social\
\ or political reasons for two neighboring communities and their local governments\
\ not agreeing to pollution reduction efforts initiated by one of them. The answer\
\ is (D).\n\nQ: The rate of natural increase of a population is found by subtracting\
\ the\n(A) crude death rate from the crude birth date. (B) crude birth rate from\
\ the crude death rate. (C) doubling time from the crude birth rate. (D) fertility\
\ rate from the crude death rate.\nA: Let's think step by step. We refer to Wikipedia\
\ articles on geography for help. The difference between number of births and deaths\
\ gives the population increase at any given time. The answer is (A)."
"group": "mmlu_flan_cot_fewshot_social_sciences"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_geography"
dataset_name: high_school_government_and_politics
description: 'The following are multiple choice questions (with answers) about high
school government and politics.
Q: Which of the following best states an argument made by James Madison in The Federalist
number 10?
(A) Honest politicians can prevent factions from developing. (B) Factions are more
likely to occur in large republics than in small ones. (C) The negative effects
of factionalism can be reduced by a republican government. (D) Free elections are
the people''s best defense against factionalism.
A: Let''s think step by step. We refer to Wikipedia articles on government and politics
for help. In the Federalist number 10, James Madison advocated for a representative
republican form of government to guard against factionalism. The answer is (C).
Q: The term "budget deficit" refers to the
(A) annual increase in federal spending on the military (B) amount of interest on
the national debt (C) difference between the initial budget proposals made by the
president and Congress (D) amount the government spends in excess of its revenues
A: Let''s think step by step. We refer to Wikipedia articles on government and politics
for help. When the goverment spends more than it earns, their difference is the
budget deficit. The answer is (D).
Q: Which of the following statements about cabinet departments is FALSE?
(A) They are established by the legislative branch. (B) Their members often don''t
have much influence over presidential decisions. (C) They cannot all be run by leaders
who belong to the same political party the president does. (D) Not every federal
agency is a cabinet department.
A: Let''s think step by step. We refer to Wikipedia articles on government and politics
for help. There is no law stipulating that some cabinet department leaders have
to belong to a political party different from that of the president. The answer
is (C).
Q: Which of the following cases established the precedent that a defendant must
be informed of the right to remain silent, the right to a lawyer, and protection
from self-incrimination?
(A) Weeks v. United States (B) Betts v. Brady (C) Mapp v. Ohio (D) Miranda v. Arizona
A: Let''s think step by step. We refer to Wikipedia articles on government and politics
for help. In the landmark Miranda v. Arizona in 1966, the US Supreme Court, based
on the Fifth and Sixth Amendment of the US Constitution, guaranteed a defendant''s
right to an attorney and protection from self-incrimination. The answer is (D).
Q: Uncertainty over the limits to presidential power is caused primarily by the
fact that
(A) the constitutional definition of those powers is broad and unspecific (B) most
people agree that the Constitution places too many limits on presidential power
(C) the Supreme Court consistently refuses to rule on cases concerning presidential
powers (D) constitutional amendments have greatly increased presidential powers
A: Let''s think step by step. We refer to Wikipedia articles on government and politics
for help. The US Constitution is not very specific about the powers of the president,
leading to uncertainty over its limits. The answer is (A).'
include: _mmlu_flan_cot_fewshot_template_yaml
task: mmlu_flan_cot_fewshot_high_school_government_and_politics
"dataset_name": "high_school_government_and_politics"
"description": "The following are multiple choice questions (with answers) about high\
\ school government and politics.\n\nQ: Which of the following best states an argument\
\ made by James Madison in The Federalist number 10?\n(A) Honest politicians can\
\ prevent factions from developing. (B) Factions are more likely to occur in large\
\ republics than in small ones. (C) The negative effects of factionalism can be\
\ reduced by a republican government. (D) Free elections are the people's best defense\
\ against factionalism.\nA: Let's think step by step. We refer to Wikipedia articles\
\ on government and politics for help. In the Federalist number 10, James Madison\
\ advocated for a representative republican form of government to guard against\
\ factionalism. The answer is (C).\n\nQ: The term \"budget deficit\" refers to the\n\
(A) annual increase in federal spending on the military (B) amount of interest on\
\ the national debt (C) difference between the initial budget proposals made by\
\ the president and Congress (D) amount the government spends in excess of its revenues\n\
A: Let's think step by step. We refer to Wikipedia articles on government and politics\
\ for help. When the goverment spends more than it earns, their difference is the\
\ budget deficit. The answer is (D).\n\nQ: Which of the following statements about\
\ cabinet departments is FALSE?\n(A) They are established by the legislative branch.\
\ (B) Their members often don't have much influence over presidential decisions.\
\ (C) They cannot all be run by leaders who belong to the same political party the\
\ president does. (D) Not every federal agency is a cabinet department.\nA: Let's\
\ think step by step. We refer to Wikipedia articles on government and politics\
\ for help. There is no law stipulating that some cabinet department leaders have\
\ to belong to a political party different from that of the president. The answer\
\ is (C).\n\nQ: Which of the following cases established the precedent that a defendant\
\ must be informed of the right to remain silent, the right to a lawyer, and protection\
\ from self-incrimination?\n(A) Weeks v. United States (B) Betts v. Brady (C) Mapp\
\ v. Ohio (D) Miranda v. Arizona\nA: Let's think step by step. We refer to Wikipedia\
\ articles on government and politics for help. In the landmark Miranda v. Arizona\
\ in 1966, the US Supreme Court, based on the Fifth and Sixth Amendment of the US\
\ Constitution, guaranteed a defendant's right to an attorney and protection from\
\ self-incrimination. The answer is (D).\n\nQ: Uncertainty over the limits to presidential\
\ power is caused primarily by the fact that\n(A) the constitutional definition\
\ of those powers is broad and unspecific (B) most people agree that the Constitution\
\ places too many limits on presidential power (C) the Supreme Court consistently\
\ refuses to rule on cases concerning presidential powers (D) constitutional amendments\
\ have greatly increased presidential powers\nA: Let's think step by step. We refer\
\ to Wikipedia articles on government and politics for help. The US Constitution\
\ is not very specific about the powers of the president, leading to uncertainty\
\ over its limits. The answer is (A)."
"group": "mmlu_flan_cot_fewshot_social_sciences"
"include": "_mmlu_flan_cot_fewshot_template_yaml"
"task": "mmlu_flan_cot_fewshot_high_school_government_and_politics"
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