question
stringlengths
326
14.9k
answer
stringlengths
1
664
taskname
stringclasses
36 values
doc_id
int64
0
670
o3-mini-high_correct
bool
2 classes
o4-mini-high_correct
bool
2 classes
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence CCTCAGTTGGGGGTGTGCAGACACGTCTAGAGGTGAG...
A
lab_bench_SeqQA:cot
490
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence CGATGATGCGACGGTAGTGTCCGTTGAGGGGGACGCT...
D
lab_bench_SeqQA:cot
491
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence GATAATATCGTATTAACGTTGAAGCGCAGCCACTAGC...
D
lab_bench_SeqQA:cot
499
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence GGGTCATATATCACGACTATGCGAGATGGAGGCTAGC...
A
lab_bench_SeqQA:cot
505
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence GTTCCCGTATCCTCGGTTGTTGTACTGTCGTTCCCGG...
C
lab_bench_SeqQA:cot
509
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence TACATGACCCCAGCATCTCCTGGGCACCACGATTATC...
B
lab_bench_SeqQA:cot
512
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence TCTAGTACCTGCGTCTACCGTAGTGGTATGGGCACTA...
C
lab_bench_SeqQA:cot
516
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the percent GC of the DNA sequence TTGAGAAATCCAGTGCACGAGCTGGCGGCCCTTCGGA...
D
lab_bench_SeqQA:cot
519
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence AATCGT...
B
lab_bench_SeqQA:cot
522
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence ACCACC...
A
lab_bench_SeqQA:cot
523
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence AGCTCT...
D
lab_bench_SeqQA:cot
526
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence CCTTTC...
A
lab_bench_SeqQA:cot
534
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence CGCTGC...
C
lab_bench_SeqQA:cot
536
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence CGGAAG...
B
lab_bench_SeqQA:cot
537
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence CTTGCC...
D
lab_bench_SeqQA:cot
543
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence TACGCT...
A
lab_bench_SeqQA:cot
549
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence TCAGGA...
D
lab_bench_SeqQA:cot
553
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What fragment lengths should I expect to see after digesting the sequence TTCGAA...
D
lab_bench_SeqQA:cot
557
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence ACGGCGAACCA...
D
lab_bench_SeqQA:cot
563
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence AGACAATTGTA...
A
lab_bench_SeqQA:cot
565
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence AGCAATCAATC...
B
lab_bench_SeqQA:cot
567
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence CGGTGTGGCAT...
D
lab_bench_SeqQA:cot
572
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence GAGTGATCTAA...
C
lab_bench_SeqQA:cot
578
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence GCACTGGTTAT...
B
lab_bench_SeqQA:cot
581
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence GCAGGATTGGA...
D
lab_bench_SeqQA:cot
582
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence GCGTAGAAATA...
B
lab_bench_SeqQA:cot
585
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence GTCGCCGAATT...
B
lab_bench_SeqQA:cot
592
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence TCATCACAAGC...
A
lab_bench_SeqQA:cot
594
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many fragments should I expect to see when I digest the sequence TGAGCCCTAGC...
A
lab_bench_SeqQA:cot
596
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: At what time point was the mean sequencing depth for population 523 the lowest? ...
C
lab_bench_SuppQA:cot
1
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many animals were involved in the recordings for the extraction quality char...
E
lab_bench_SuppQA:cot
9
true
false
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: How many sequence reads were obtained from Mate-Pair Sequencing? Choices: (A) 5...
D
lab_bench_SuppQA:cot
16
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: In which situation is it not recommended to use Jeffreys prior? Choices: (A) Wh...
A
lab_bench_SuppQA:cot
20
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the expected difference between the probability of detection between a m...
A
lab_bench_SuppQA:cot
28
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the guanidinium hydrochloride concentration (M) at which mClover3 was 50...
C
lab_bench_SuppQA:cot
31
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What is the sequence of the reverse primer used for Rab3GAPLCM? Choices: (A) TA...
B
lab_bench_SuppQA:cot
39
false
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What percentage of patients are former smokers? Choices: (A) 22 (B) 64 (C) 65...
C
lab_bench_SuppQA:cot
41
true
true
Answer the following multiple-choice question by giving the correct answer letter in parentheses. Provide CONCISE reasoning for the answer, and make sure to finish the response with "ANSWER: X" where X is one of A, B, C, D, etc. Question: What was the sequence of the Overlap Reverse primer used for Plasmid Constructio...
C
lab_bench_SuppQA:cot
58
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Three fragments are produced when a piece of RNA is treated with pancreaticRNase. According to the amount of phosphate , these fragmen...
J
mmlu_pro_biology:cot
20
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: If mating is observed to occur freely between organisms of twodifferent populations in the laboratory, and the cross producesviable of...
D
mmlu_pro_biology:cot
107
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A gal^+ / gal^- cell is produced by an abortive transduction. Will it grow in a medium in whichgalactoseis the sole carbon source? (A...
B
mmlu_pro_biology:cot
124
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Targeting of a newly synthesized protein is most likely to require two different signal peptides for which of the following destinatio...
C
mmlu_pro_biology:cot
125
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A biologist deals with things on a microscopic level. To A biologist deals with things on a microscopic level. To describe cellular di...
G
mmlu_pro_biology:cot
129
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A dominant trait has a fitness of 0.6. The frequency in a population of this trait is 1 in 8,000. What is the mutation rate? (A) 2.5 ...
A
mmlu_pro_biology:cot
177
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A qualitative analysis ofAtebrin, anantimalarialdrug used extensively by Allied troops during the Second World War, showed carbon, hyd...
I
mmlu_pro_chemistry:cot
23
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: The heat capacity of uranium metal is 0.727 cal deg^-1 mole^-1 at 20° K. Calculate the standard absolute entropy of this substance in ...
I
mmlu_pro_chemistry:cot
146
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Calculate the yield, the threshold energy and the project-ile energy for the reaction (^23 _11)Na [(^3 _1)H , ^1n] (^25 _12)Mg with th...
H
mmlu_pro_chemistry:cot
191
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Define a BASIC function which takes on the value \surd(x^2 - y^2) if x^2 \geq y^2, but \surd(y^2 - x^2) if y^2 > x^2. (A) 1 DEF FNA(X...
D
mmlu_pro_computer science:cot
7
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Statement 1| After mapped into feature space Q through a radial basis kernel function, 1-NN using unweighted Euclidean distance may be...
E
mmlu_pro_computer science:cot
45
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A one-hour color video in YUV format has a frame resolution of 1920x1080 with a 4:2:2 color sub-sampling format, 8 bits for each compo...
C
mmlu_pro_computer science:cot
64
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: This question is based on the following declarations: String strA = "CARROT", strB = "Carrot", strC = "car"; Given that all uppercase ...
C
mmlu_pro_computer science:cot
91
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Explain what the computer takes as the attributes of the fol-lowingvariables by Default Rules of PL/I, if full explicit declarationsar...
A
mmlu_pro_computer science:cot
124
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Which of the following statements about floating-point arithmetic is NOT true? (A) It is inherently nonassociative because some numbe...
D
mmlu_pro_computer science:cot
152
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Air flows through a tube, and heat is transferred by means of forced convection. The tube is 1 ft. long, with an internal diameter of ...
I
mmlu_pro_engineering:cot
19
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: For point-to-point communication at higher frequencies, the desiredradiation pattern is a single narrow lobe or beam. To obtainsuch a ...
C
mmlu_pro_engineering:cot
36
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Determine the drag force acting on a 10 ft × 100 ft smooth flatplate when it is pulled lengthwise on a still water surface witha veloc...
J
mmlu_pro_engineering:cot
57
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Given the bandwidth BW = (2\beta + 1)f_m used for a space communication system, where \beta is the modulation index. If \beta = 0.2 an...
I
mmlu_pro_engineering:cot
58
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Refrigerant 12 (Freon 12) at 20 psia and 30°F is compressed to 140 psia and 150°F during a compression stroke. For a pound of this ref...
D
mmlu_pro_engineering:cot
62
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A three-phase rectifier is supplied by delta-star-connected transformers with an equivalent leakage reactance per Y-leg of 0.25 ohm. T...
A
mmlu_pro_engineering:cot
64
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: 0.228 era thick circumferential fins with a radial depth of 2.54 cm are welded to a 15.24 cm dia. steel barrel. The fins arespaced at ...
F
mmlu_pro_engineering:cot
72
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Carbon monoxide burns with astoichiometricamount of air asdescribed by the following equation: CO(g) + (1/2) [O_2 + 3.76N_2](g) = CO_2...
J
mmlu_pro_engineering:cot
132
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: The frequency range of a commercially broadcast FM signal is 88 to 108 MHz, with carrier swing of 125 kHz. Find the percentage modulat...
F
mmlu_pro_engineering:cot
135
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Water at 57°C is flowing at a rate of 12 liters/min through a standard (1/2) in. schedule 40 pipe. Calculate the heat transfer coeffic...
B
mmlu_pro_engineering:cot
147
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: It is required to reduce the net radiant loss of the horizontal, cylindricalelectric heater 2 in. in diameter and 5 ft. long to zero, ...
A
mmlu_pro_engineering:cot
154
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A 1.6 ft long pipe with an inside diameter of 0.03 ft carries water moving at a rate of 18lbm/hr. Steam con-denses on the outside of t...
E
mmlu_pro_engineering:cot
162
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Given the following data for diamond and graphite at 25°C and 1atm Diamond Graphite Units g 1.233 0 Btu / lb mol - °R v 0.00456 0.0071...
C
mmlu_pro_engineering:cot
169
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Cooling water at 60°F flows through a condenser tube of 1 in. O.D. and 0.90 I.D. Steam at 3 in. Hg absolute pressure is condensed on t...
J
mmlu_pro_engineering:cot
181
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A 35-year-old female develops nausea and vomiting after she underwent a cholecystectomy for protracted ileus. Her body mass index was ...
I
mmlu_pro_health:cot
30
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A 25-year-old gravida 3 para 2 female is admitted to the hospital at 39 weeks' gestation in active labor. She had been having regular ...
A
mmlu_pro_health:cot
70
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A 16-year-old high school student, whose prenatal course you have managed, delivers a 3256-g (7-lb 3-oz) baby girl during the night wi...
C
mmlu_pro_health:cot
112
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: The proportion of babies that have an abnormality identifiable at birth is _____. (A) 1 in 100 (B) 1 in 50 (C) 1 in 5 (D) 1 in 10 ...
I
mmlu_pro_health:cot
140
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: The influence of genetics on longevity is estimated to be about (A) 33% (B) 40% (C) 60% (D) 20% (E) 80% (F) 55% (G) 50% (H) 10...
A
mmlu_pro_health:cot
155
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Suppose that f is analytic on the closed unit disk, f(0) = 0, and $|Rf(z)| \leq |e^z|$ for |z| < 1. What's the maximum value of f((1 +...
B
mmlu_pro_math:cot
3
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: Compute $\int_C dz / (z * (z-2)^2)dz$, where C: |z - 2| = 1. The answer is Ai with i denoting the imaginary unit, what is A? (A) -0.3...
A
mmlu_pro_math:cot
5
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: 5.2-5. Let the distribution of $W$ be $F(8,4)$. Find the following: (a) $F_{0.01}(8,4)$. (A) 16.30 (B) 15.97 (C) 9.22 (D) 18.45 ...
F
mmlu_pro_math:cot
35
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A box of mass m slides on a horizontal surface with initial speed v0. It feels no forces other than gravity and the force from the sur...
H
mmlu_pro_physics:cot
15
true
false
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A beam of parallel rays, parallel to the axis, falls on the objective of a telescope equipped with aRamsdeneyepiece and adjusted so th...
D
mmlu_pro_physics:cot
23
false
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A rotating mirror experiment, to measure the speed of light, is set up on Mt. Wilson with the return mirror on Mt. San Antonia 35377 m...
B
mmlu_pro_physics:cot
122
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: In one type of mass spectrometer the charged particles pass through a velocity selector before entering the magnetic field. In another...
G
mmlu_pro_physics:cot
139
true
true
Answer the following multiple-choice question by providing step-by-step reasoning, and make sure to finish the response with "Answer: X" where X is one of A, B, C, D, E, etc. Question: A grating has 100 lines. What is the ratio of the intensity of a primary maximum to that of the first secondary maximum? (A) 0.075 (...
B
mmlu_pro_physics:cot
169
true
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Given positive integers $m$ and $n...
["$m n-\\lfloor m / 2\\rfloor$"]
olympiadbench_OE_TO_maths_en_COMP
9
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Determine all pairs $(f, g)$ of fu...
["$f(n)=n$, $g(n)=1$"]
olympiadbench_OE_TO_maths_en_COMP
17
true
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Determine the greatest positive in...
["3"]
olympiadbench_OE_TO_maths_en_COMP
18
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: For each positive integer $k$, let...
["1,3,5"]
olympiadbench_OE_TO_maths_en_COMP
21
true
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Denote by $\mathbb{Q}^{+}$the set ...
["$f(x)=\\frac{1}{x}$"]
olympiadbench_OE_TO_maths_en_COMP
23
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: On some planet, there are $2^{N}$ ...
["$M=2^{N-2}+1$"]
olympiadbench_OE_TO_maths_en_COMP
24
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: 2500 chess kings have to be placed...
["2"]
olympiadbench_OE_TO_maths_en_COMP
25
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Find the least positive integer $n...
["39"]
olympiadbench_OE_TO_maths_en_COMP
26
true
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Find the smallest number $n$ such ...
["5"]
olympiadbench_OE_TO_maths_en_COMP
28
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: The equation $$ (x-1)(x-2) \cdots...
["2016"]
olympiadbench_OE_TO_maths_en_COMP
47
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Define $P(n)=n^{2}+n+1$. For any p...
["6"]
olympiadbench_OE_TO_maths_en_COMP
51
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Let $n$ be an integer with $n \geq...
["$n^{2}-n+1$"]
olympiadbench_OE_TO_maths_en_COMP
57
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: The Fibonacci numbers $F_{0}, F_{1...
["$\\lceil n / 2\\rceil+1$"]
olympiadbench_OE_TO_maths_en_COMP
58
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Let $n$ be a positive integer. Har...
["$\\frac{1}{4} n(n+1)$"]
olympiadbench_OE_TO_maths_en_COMP
60
true
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Find all triples $(a, b, c)$ of po...
["$(1,2,3),(1,3,2),(2,1,3),(2,3,1),(3,1,2),(3,2,1)$"]
olympiadbench_OE_TO_maths_en_COMP
65
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Let $n$ be a fixed positive intege...
["$n(n-1)$"]
olympiadbench_OE_TO_maths_en_COMP
67
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Let $n \geqslant 2$ be an integer,...
["$(n-2) 2^{n}+1$"]
olympiadbench_OE_TO_maths_en_COMP
78
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Let $\mathbb{R}_{>0}$ be the set o...
["$f(x)=\\frac{1}{x}$"]
olympiadbench_OE_TO_maths_en_COMP
80
true
false
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: Find all positive integers $n \geq...
["2,3,4"]
olympiadbench_OE_TO_maths_en_COMP
81
false
true
Solve the following math problem step by step. Always conclude with: Therefore, the final answer is: $\boxed{answer}$. Where [answer] is just the final number or LaTex expression that solves the problem. Note that the unit of the answers should not be included in \boxed{} Problem: $A \pm 1 \text{-}sequence$ is a se...
["506"]
olympiadbench_OE_TO_maths_en_COMP
82
false
true