task stringclasses 1
value | prompt stringclasses 1
value | target_response stringclasses 371
values | cot_continuation stringlengths 0 333 | response_filtered stringlengths 1 192 | context_input_ids listlengths 41 924 | context_positions listlengths 24 75 | layers listlengths 3 3 | sent_idx int64 1 1.18k | total_sentences int64 9 1.18k | pct int64 0 100 |
|---|---|---|---|---|---|---|---|---|---|---|
answer_trajectory | What does the model currently think the answer is? | E | not possible? But the options are given. Therefore, I need to check again | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | 41. So the GCD is 41 cm. Therefore, the largest square tile that can fit is 41 cm by 41 cm | 41 | [
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answer_trajectory | What does the model currently think the answer is? | D | 12*11*10 / (3*2*1) = 220. Let me verify that. 12*11 is 132, 132*10 is 1 | 220 | [
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answer_trajectory | What does the model currently think the answer is? | D | 8 tocs divided by 5 tacs. So, 1 tac = 8/5 tocs. Wait, let me check that again. If 5 tacs = 8 tocs, then dividing both sides by 5 | 1 tac = 8/5 tocs | [
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answer_trajectory | What does the model currently think the answer is? | 20 | $40? Wait, hold on, let me check again. Wait, the problem says he paid twice as much to Helen as he had paid to Colin. So, since he paid Colin $20, Helen gets twice that, which is | $40 | [
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answer_trajectory | What does the model currently think the answer is? | D | D)750m. But let me check if the options have that. Yes, D is 750m. So, maybe the answer is D. But I need to make sure | D. 750m | [
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answer_trajectory | What does the model currently think the answer is? | E. 70 | sqrt( (-32)^2 - 4*1*(-3,408) ) = sqrt(1024 + 13,632) = sqrt(14,656). Which is approximately | 14,656 | [
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answer_trajectory | What does the model currently think the answer is? | J | B or F or G | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | 0.61715 mol | 0.61715 | [
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answer_trajectory | What does the model currently think the answer is? | C. 25000 | P*(1.1)^2*(1 + 0.05) = P*1.21*1.05 = P*1.2705 | 1.2705 | [
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answer_trajectory | What does the model currently think the answer is? | E | B) b - 2b + 4, which simplifies to -b + 4. But this only matches when a = 1, but in other cases, it doesn't. However, if the problem assumes that a = | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | J | likely G or J. Wait, but the developer is arguing that the city's action was a taking. If the city passed a comprehensive law, then the developer's loss is part of a broader change, so maybe the city is allowed to do that | G | [
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answer_trajectory | What does the model currently think the answer is? | B | not 36. So, if the difference between digits is 6, then difference between numbers is 54. So, if the difference between numbers is 36, then difference between digits is 4. So, that seems consistent | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | D | D) feels good | D | [
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answer_trajectory | What does the model currently think the answer is? | A | 250 meters * 0.5 rupees/meter = 125 rupees. So answer is A. But wait, the options have A as 125. So why is there an option B)15 | 125 | [
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answer_trajectory | What does the model currently think the answer is? | I | not D | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | the number of handshakes possible if A1 has to shake hands with all without repeating | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | 8 | 15 days with a remainder of 8. So that means on the 15th day, she would have arranged 16 vases each day, totaling 240, and then on the 16th day, | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C. 97 | (135/360)*2π*21 | 31.5 | [
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answer_trajectory | What does the model currently think the answer is? | C | 66 - (difference between female and overall average)*(weight of female / total weight). Wait, maybe I need to recall the formula | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | B | not in the options. But since the options are given, maybe I need to check if there's a miscalculation in my part | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | the number of days to reach H - 4 feet, then plus 1 day | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | C)6 | C. 6 | [
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answer_trajectory | What does the model currently think the answer is? | C | C)11.5 | C. 11.5 | [
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answer_trajectory | What does the model currently think the answer is? | A | 2^(2*3) if a is odd. Since 3 is odd, that's correct. So 2^(2*3) is 2^6. Let me compute that. 2^6 is 64 | 64 | [
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answer_trajectory | What does the model currently think the answer is? | E | likely D) new insights or E) enlightenment | D | [
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answer_trajectory | What does the model currently think the answer is? | A | s(f(x)) = 10. So, first, we need to compute f(x), then plug that into s, and set it equal to 10. Then solve for x | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | A. But wait, the original experiment's answer was that small rewards lead to more belief change. So if the question is about forced compliance, which may involve a small reward, then A is correct. But the question says "forced compliance situations" | A | [
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answer_trajectory | What does the model currently think the answer is? | A | A) 2 hours. But let me check again. Wait, if the answer is 2 hours, then why is there an option E) 4 hours? Maybe I made a mistake in the ratio? | A) 2 hours | [
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answer_trajectory | What does the model currently think the answer is? | E | E | E | [
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answer_trajectory | What does the model currently think the answer is? | D | not in the options? Or maybe the problem is from a source with a typo? | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | A | A | [
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answer_trajectory | What does the model currently think the answer is? | C | C | C | [
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answer_trajectory | What does the model currently think the answer is? | C | C. But let me check again if there is any possibility that maybe there is another condition. Wait, the question says that (x + 2) is the HCF. So, does that mean that there are no other common factors? For | C | [
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] | 66 | 148 | 45 |
answer_trajectory | What does the model currently think the answer is? | C | 4*C(10,2)=180. But the problem says that no three coins have a tangent line in common. So that would mean that there is no line that is tangent to three coins. But if there is a line | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | E | not among the choices. But since the answer choices are given, and the closest is 10% or 15%, maybe the answer is 10% or 15%. But how? | uncertain | [
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18,
27
] | 329 | 444 | 74 |
answer_trajectory | What does the model currently think the answer is? | B | not there. But the answer must be one of them. So, maybe my interpretation is wrong | uncertain | [
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] | 222 | 462 | 48 |
answer_trajectory | What does the model currently think the answer is? | C | : | uncertain | [
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] | 42 | 436 | 9 |
answer_trajectory | What does the model currently think the answer is? | 10 | 10 ounces per pile | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | C | C | [
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] | 57 | 72 | 80 |
answer_trajectory | What does the model currently think the answer is? | B | B) Rs. 75. Let me check the options again. Yes, option B is Rs. 75 | B. 75 | [
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... | [
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] | 33 | 93 | 36 |
answer_trajectory | What does the model currently think the answer is? | E | one of the options A to E. Let me think step by step | uncertain | [
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... | [
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18,
27
] | 5 | 197 | 3 |
answer_trajectory | What does the model currently think the answer is? | C | the next prime after 37? Which is 41. Then the next term would be 125 + 41 = 166. Which is option C | C. 166 | [
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] | 51 | 276 | 18 |
answer_trajectory | What does the model currently think the answer is? | A | A)110 | A. 110 | [
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] | 60 | 71 | 85 |
answer_trajectory | What does the model currently think the answer is? | C | ... Wait, no. Because for each units digit, the tens digit is different. So maybe not. Wait, but the total number is not just units digits, but also the tens digits. So maybe my previous approach is better | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | E | α = [α] * c * l, where c is in g/mL and l is in dm. But wait, sometimes concentration is given in g/dL. Let me check | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | B | E. But let me check the options again | E | [
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answer_trajectory | What does the model currently think the answer is? | A | 300/11 minutes past 8:00, which is 27 3/11 minutes | 27 3/11 | [
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answer_trajectory | What does the model currently think the answer is? | 17 | 17 | 17 | [
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] | 63 | 152 | 42 |
answer_trajectory | What does the model currently think the answer is? | D | D)5. But let me check if there's any other constraints I might be missing. The problem says "integers," so they can be positive or negative, but they don't have to be non-zero? Wait, but if there are | D. 5 | [
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] | 28 | 122 | 23 |
answer_trajectory | What does the model currently think the answer is? | C | different. Wait, but the problem doesn't specify direction. Hmm. Wait, but in most cases, unless specified, it's assumed that they are running in the same direction. But maybe the problem is from a source where direction is implied? Wait | uncertain | [
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] | 128 | 456 | 28 |
answer_trajectory | What does the model currently think the answer is? | H | approximately 39.7 mJ. Since this is not an option, but the closest is A) 36 mJ or H) 48 mJ. Wait, but 39.7 is closer to 40 | 40 | [
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] | 305 | 540 | 56 |
answer_trajectory | What does the model currently think the answer is? | 100000 | 100,000 books | uncertain | [
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] | 102 | 164 | 62 |
answer_trajectory | What does the model currently think the answer is? | A | x = 196 / (15 - 1) = 196 / 14 = 14. So x is 14. Then the answer would be A)14. But let me make sure | A. 14 | [
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answer_trajectory | What does the model currently think the answer is? | C | (number of adjacent pairs) / (total number of pairs). Wait, but the total number of possible positions for the two books is 10*9, and the number of adjacent pairs is 9*2. Wait, let me explain | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | 4 | 5 years old? Wait, let me check again. Let me think step by step | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | D | 2 + (-2) = 0? No, that doesn't fit. Or 2 + 2 = 4? No. Not helpful | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | D | approximately $3.1 million, which is option D | D. 3.1 million | [
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answer_trajectory | What does the model currently think the answer is? | A | 500/(25 + 15) = 12.5 seconds. In that time, Abhishek, who is moving from A to B, would have covered 20 * 12.5 = | 250 | [
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answer_trajectory | What does the model currently think the answer is? | E | going to be the weighted average of the three averages, where the weights are the number of students in each class. Since the ratio is 4:6:5, maybe I can assign variables to represent the number of students. Let me try that | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | E | that the differences are decreasing by 2 alternately? Wait, 19, 21 (increase by 2), then 9 (which is 21 - 12), then 11 (9 + 2), | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | not straightforward. However, the problem says "the level of the field is raised". If the question is asking for the height increase in the remaining portion of the field, then it's 4.2 m. However, if it's asking for | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | 145 | that each internal angle is half the measure of the arc that is opposite to it, i.e., the arc that is intercepted by the two sides of the angle | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | B | (number of Jaune Y + number of Jaune X)/total | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | E | that we can fit 5 boxes along the 25-inch dimension (5*5), 6 boxes along the 42-inch dimension (6*7), and 12 boxes along the 60-inch dimension (12* | 30) | [
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answer_trajectory | What does the model currently think the answer is? | B | that the maximum height is determined by the edge of the lane, and we need to find x such that the height at the edge of the lane is L + 0.5, and the height at the center is L + 0.5 | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | F | the one that is not true. But the question is which one is not true. The options are A-G, and the user is asking for one answer. Wait, maybe I made a mistake in the options | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | 63 | 2*11 + 2*9 - 4 = 22 + 18 - 4 = 36. Which matches the previous result. So total boundary points are 36, so interior points are 9 | 36 | [
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answer_trajectory | What does the model currently think the answer is? | B | that they completed half the work, but the problem says they completed 1/3. Therefore, there's a contradiction here. Therefore, maybe the problem is not about the total work being 40,000 man-hours? Maybe the | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | 2. Not divisible | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | E | E | [
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answer_trajectory | What does the model currently think the answer is? | E | not in the options. So, that's not the case | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | H | probably Kb = Kw / Ka1. Let me check the options | Kb = Kw / Ka1 | [
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answer_trajectory | What does the model currently think the answer is? | B | probably the next difference, which would be 10. So adding 10 to the last term, 23 + 10 = 33. So the next term should be 33, which is option B | B. 33 | [
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answer_trajectory | What does the model currently think the answer is? | 476 | $476 | 476 | [
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answer_trajectory | What does the model currently think the answer is? | A | A) 11.2 L | A. 11.2 | [
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answer_trajectory | What does the model currently think the answer is? | E | not among the options? Wait, but the options are A)9, B)36, C)40, D)300, E)400. Wait, so maybe I made a mistake in interpreting the problem? | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | A | 28 days (Dec 3 to Dec 31) + 5 days (Jan 1 to Jan 5) = 33 days. Therefore, 33 days later | 33 | [
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answer_trajectory | What does the model currently think the answer is? | B | probably related to the planet's rotation speed. Wait, but the options are B) rotational speed of the planet. But then why is the solar day different from the sidereal day? Because the solar day is the time between two noons, so | B | [
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answer_trajectory | What does the model currently think the answer is? | A | 25%, which is option A. But let me check if the answer is different. Wait, maybe I made a mistake in the calculation. Let me check again: | A. 25% | [
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answer_trajectory | What does the model currently think the answer is? | B | 0.3I / (0.3I + 0.8F) = 0.3 / (0.3 + 0.8*(F/I)) | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | D | not directly listed. Wait, but maybe the answer is D? Because arterial blood pressure can affect the capillary pressure, and the diameter of the afferent arterioles. But the question says that the primary control is by alteration of the gl | D | [
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answer_trajectory | What does the model currently think the answer is? | E | E | E | [
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answer_trajectory | What does the model currently think the answer is? | D | 5437.5, which is option D | 5437.5 | [
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answer_trajectory | What does the model currently think the answer is? | J | (102.4 / 1100) × 100. Let me compute that | 2.76 | [
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answer_trajectory | What does the model currently think the answer is? | 27 | 27. So I think that's it | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | B | $25.01? Let me check with another method. Let me add all the numbers: | 25.01 | [
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answer_trajectory | What does the model currently think the answer is? | D. 50 | only two ways? 7² + 0 + 0 and 6² + 3² + 2². So, maybe 49 can be expressed in two ways. But the question is about three different ways. So, | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | C. So I think that's correct | C. 52 | [
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] | 151 | 216 | 70 |
answer_trajectory | What does the model currently think the answer is? | E | 36, which is not in the options. Therefore, the answer is E) None of these. But let me check again with the equations | E. None of these | [
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answer_trajectory | What does the model currently think the answer is? | B | 20 / 63 | 20 / 63 | [
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answer_trajectory | What does the model currently think the answer is? | 3564 | 36*100 - 36 = 3564 | 3564 | [
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answer_trajectory | What does the model currently think the answer is? | A | 60 + 15 = 75? Wait, no: | uncertain | [
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answer_trajectory | What does the model currently think the answer is? | C | C) 3 hours | C. 3 | [
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] | 27 | 37 | 75 |
answer_trajectory | What does the model currently think the answer is? | C | not among the options. But since this is a multiple-choice question, and assuming that there is a correct answer, I think there must be a typo in the problem. If I have to choose the closest, maybe option C is the reciprocal, so | C | [
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] | 348 | 377 | 92 |
answer_trajectory | What does the model currently think the answer is? | A | different? | uncertain | [
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] | 124 | 214 | 58 |
answer_trajectory | What does the model currently think the answer is? | 20 | 12 + 3 = 15, then she buys 5 more paper, so 12 + 5 = 17 paper and 3 glue. Total supplies: 17 + 3 = 20 | 20 | [
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] | 199 | 235 | 85 |
answer_trajectory | What does the model currently think the answer is? | 18 | 18 | 18 | [
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answer_trajectory | What does the model currently think the answer is? | C | C | C | [
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] | 220 | 278 | 79 |
answer_trajectory | What does the model currently think the answer is? | D | D) 301. Wait, but let me check option E) 294. If the dividend is 294, then dividing by 21 would give 14 with 0 remainder. Because 21 | D) 301 | [
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] | 42 | 67 | 64 |
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