j-raghavan/s1-gemma4-26b-decision
Text Generation • 26B • Updated • 376 • 1
row_id stringlengths 10 72 | family stringlengths 8 68 | task_type stringclasses 3
values | state stringlengths 16 12k | question stringlengths 144 3.66k | gold unknown | target stringlengths 20 540 | gold_weight float64 0.5 0.9 | holdout_family bool 2
classes | teacher stringclasses 1
value | teacher_calibrated stringlengths 20 540 ⌀ | teacher_conflict bool 2
classes | license stringclasses 10
values | provenance stringlengths 62 264 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aqua_math-3812 | aqua_math | choice | {"question": "The captain of a cricket team of 11 members is 24 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "22 years", "d": "23 years", "e": "24 years", "a": "20 years", "b": "21 years"}} | "b" | {"c": 0.022566, "d": 0.096871, "e": 0.113724, "a": 0.028323, "b": 0.738517} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.07522, "d": 0.322902, "e": 0.379079, "a": 0.094409, "b": 0.128389} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 50970} |
aqua_math-9426 | aqua_math | choice | {"question": "In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−4, −4)?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "4", "c": "0", "d": "−2", "b": "2", "e": "−4"}} | "a" | {"a": 0.779448, "c": 0.049102, "d": 0.036107, "b": 0.099716, "e": 0.035627} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.264825, "c": 0.163675, "d": 0.120356, "b": 0.332386, "e": 0.118758} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 59913} |
aqua_math-28 | aqua_math | choice | {"question": "The contents of a certain box consist of 14 apples and 20 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "17", "e": "20", "a": "3", "b": "6", "c": "14"}} | "c" | {"d": 0.055827, "e": 0.026587, "a": 0.032273, "b": 0.133096, "c": 0.752218} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.186089, "e": 0.088623, "a": 0.107577, "b": 0.443652, "c": 0.174059} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 85041} |
aqua_math-2238 | aqua_math | choice | {"question": "There is a total of 120 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 1/3. What is the probability that the marble will be either red or blue ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "1/4", "e": "5/12", "a": "1/6", "c": "2/7", "d": "1/3"}} | "e" | {"b": 0.023735, "e": 0.93027, "a": 0.018168, "c": 0.013449, "d": 0.014378} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.079118, "e": 0.767566, "a": 0.060559, "c": 0.04483, "d": 0.047928} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 14874} |
aqua_math-5679 | aqua_math | choice | {"question": "Robert invests $120,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Jody invests $120,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Robert's account, approximately ... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "$819.00", "e": "$81900.30", "a": "Zero", "b": "$81.90", "d": "$8190.03"}} | "c" | {"c": 0.760693, "e": 0.017657, "a": 0.008011, "b": 0.128297, "d": 0.085342} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.20231, "e": 0.058855, "a": 0.026704, "b": 0.427656, "d": 0.284475} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 4956} |
aqua_math-2621 | aqua_math | choice | {"question": "For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 100 units raises the average to 55 units per day, what is the value of n?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "10", "c": "8", "b": "7", "d": "9", "a": "6"}} | "d" | {"e": 0.076673, "c": 0.055632, "b": 0.017981, "d": 0.836225, "a": 0.01349} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.255577, "c": 0.18544, "b": 0.059936, "d": 0.454082, "a": 0.044965} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 32797} |
aqua_math-8933 | aqua_math | choice | {"question": "Which is greater than -1?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "-3", "a": "-5", "b": "-4", "d": "-2", "e": "0"}} | "e" | {"c": 0.001407, "a": 0.002038, "b": 0.001407, "d": 0.001407, "e": 0.99374} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.004691, "a": 0.006794, "b": 0.004691, "d": 0.004691, "e": 0.979134} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 47538} |
aqua_math-8813 | aqua_math | choice | {"question": "If log1087.5 = 4.9421, then the number of digits in (875)10 is?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "28", "c": "27", "e": "25", "a": "60", "d": "26"}} | "a" | {"b": 0.038198, "c": 0.054799, "e": 0.032975, "a": 0.736209, "d": 0.13782} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.127326, "c": 0.182662, "e": 0.109916, "a": 0.120697, "d": 0.459399} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 9917} |
aqua_math-4201 | aqua_math | choice | {"question": "A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 8 cubic feet. If a small block has half the width, half the depth, and half the length of a normal block, what is the volume of cheese in a small block in cubic feet?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "5", "a": "1", "e": "2", "c": "4", "d": "6"}} | "a" | {"b": 0.007425, "a": 0.968302, "e": 0.009524, "c": 0.009242, "d": 0.005506} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.024751, "a": 0.89434, "e": 0.031748, "c": 0.030807, "d": 0.018353} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 29} |
aqua_math-5695 | aqua_math | choice | {"question": "A customer purchased a package of ground beef at a cost of $1.80 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 25 percent less than the package of ground beef. What was the cost per pound of the steak?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "$2.00", "c": "$2.30", "d": "$2.40", "b": "$2.15", "e": "$2.65"}} | "d" | {"a": 0.009213, "c": 0.021965, "d": 0.955238, "b": 0.00926, "e": 0.004324} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.030711, "c": 0.073218, "d": 0.850792, "b": 0.030865, "e": 0.014414} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63403} |
aqua_math-6699 | aqua_math | choice | {"question": "A trader bought a car at 20% discount on its original price. He sold it at a 65% increase on the price he bought it. What percent of profit did he make on the original price?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "D)20%", "b": "B)12%", "e": "E)32%", "c": "C)14%", "a": "A)2%"}} | "e" | {"d": 0.021745, "b": 0.044159, "e": 0.84705, "c": 0.053246, "a": 0.0338} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.072483, "b": 0.147197, "e": 0.490166, "c": 0.177487, "a": 0.112668} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 22195} |
aqua_math-8518 | aqua_math | choice | {"question": "At what rate percent per annum will a sum of money double in 6 years."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "16.6%", "d": "14.5%", "b": "13.5%", "c": "11.5%", "a": "12.5%"}} | "e" | {"e": 0.794141, "d": 0.011468, "b": 0.005353, "c": 0.012593, "a": 0.176445} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.313802, "d": 0.038228, "b": 0.017844, "c": 0.041977, "a": 0.58815} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 96801} |
aqua_math-8069 | aqua_math | choice | {"question": "What is the greatest positive integer Q such that 3^Q is a factor of 9^10?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "Q=5", "b": "Q=9", "d": "Q=20", "e": "30", "c": "Q=10"}} | "d" | {"a": 0.010644, "b": 0.016951, "d": 0.789517, "e": 0.010564, "c": 0.172324} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.03548, "b": 0.056502, "d": 0.298389, "e": 0.035214, "c": 0.574414} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 59824} |
aqua_math-3629 | aqua_math | choice | {"question": "The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "34", "d": "47", "e": "57", "a": "31", "c": "46"}} | "a" | {"b": 0.009916, "d": 0.007135, "e": 0.003651, "a": 0.973782, "c": 0.005516} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.033053, "d": 0.023783, "e": 0.01217, "a": 0.912608, "c": 0.018387} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63547} |
aqua_math-4524 | aqua_math | choice | {"question": "An empty pool being filled with water at a constant rate takes 6 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "4 hr 00 min", "a": "5 hr 30 min", "b": "5 hr 20 min", "e": "2 hr 40 min", "d": "3 hr 12 min"}} | "c" | {"c": 0.741565, "a": 0.025348, "b": 0.009209, "e": 0.203949, "d": 0.019928} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.138552, "a": 0.084495, "b": 0.030698, "e": 0.67983, "d": 0.066426} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 73949} |
aqua_math-1561 | aqua_math | choice | {"question": "The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "28", "b": "4", "a": "7", "d": "19", "c": "12"}} | "d" | {"e": 0.003626, "b": 0.006873, "a": 0.003626, "d": 0.980561, "c": 0.005314} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.012087, "b": 0.02291, "a": 0.012087, "d": 0.935203, "c": 0.017713} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 69836} |
aqua_math-953 | aqua_math | choice | {"question": "Find the cost of fencing around a circular field of diameter 30 m at the rate of Rs.5 a meter?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "132", "e": "471.25", "d": "592", "c": "772", "a": "288"}} | "e" | {"b": 0.030546, "e": 0.840191, "d": 0.034914, "c": 0.04812, "a": 0.046228} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.10182, "e": 0.467303, "d": 0.116382, "c": 0.1604, "a": 0.154095} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 75789} |
aqua_math-6298 | aqua_math | choice | {"question": "Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "60 m", "d": "45 m", "a": "20 m", "e": "65 m", "c": "50 m"}} | "b" | {"b": 0.74507, "d": 0.03567, "a": 0.018779, "e": 0.042156, "c": 0.158326} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.150233, "d": 0.118899, "a": 0.062595, "e": 0.140521, "c": 0.527752} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 26707} |
aqua_math-6786 | aqua_math | choice | {"question": "A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "36%", "e": "15%", "b": "13%", "a": "18%", "c": "12%"}} | "d" | {"d": 0.898982, "e": 0.041099, "b": 0.020238, "a": 0.026618, "c": 0.013063} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.663273, "e": 0.136996, "b": 0.06746, "a": 0.088725, "c": 0.043545} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 30995} |
aqua_math-8477 | aqua_math | choice | {"question": "Vijay sells a cupboard at 16% below cost price. Had he got Rs.1200 more, he would have made a profit of 16%. What is the cost price of the cupboard?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "3600", "e": "None of these", "a": "3750", "d": "7500", "c": "7400"}} | "a" | {"b": 0.016802, "e": 0.025943, "a": 0.75824, "d": 0.176618, "c": 0.022396} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.056007, "e": 0.086478, "a": 0.194135, "d": 0.588727, "c": 0.074653} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 5162} |
aqua_math-6593 | aqua_math | choice | {"question": "what is the compound interest on rs:80,000 for 4 months at the rate of 5% per annum"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "1344.69", "b": "1342.69", "c": "1343.69", "e": "1345.69", "a": "1341.69"}} | "a" | {"d": 0.021168, "b": 0.03448, "c": 0.203996, "e": 0.023715, "a": 0.716642} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.07056, "b": 0.114932, "c": 0.679985, "e": 0.07905, "a": 0.055472} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 11041} |
aqua_math-5490 | aqua_math | choice | {"question": "A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "12.5 kmph", "a": "12.8 kmph", "e": "12.3 kmph", "c": "12.6 kmph", "b": "12.7 kmph"}} | "d" | {"d": 0.754279, "a": 0.068126, "e": 0.030145, "c": 0.053558, "b": 0.093893} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.180929, "a": 0.227087, "e": 0.100482, "c": 0.178527, "b": 0.312976} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63522} |
aqua_math-5147 | aqua_math | choice | {"question": "What is the least number that should be added to 1077, so the sum of the number is divisible by 23?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "2", "a": "1", "d": "4", "e": "5", "c": "3"}} | "d" | {"b": 0.039918, "a": 0.070921, "d": 0.736841, "e": 0.03446, "c": 0.11786} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.133059, "a": 0.236405, "d": 0.122804, "e": 0.114865, "c": 0.392866} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 11043} |
aqua_math-6951 | aqua_math | choice | {"question": "A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "5,250 meters / minute", "e": "4,250 meters / minute", "a": "2,250 meters / minute", "b": "1,250 meters / minute", "d": "6,250 meters / minute"}} | "b" | {"c": 0.009552, "e": 0.007047, "a": 0.006461, "b": 0.974521, "d": 0.002419} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.031839, "e": 0.023491, "a": 0.021536, "b": 0.915071, "d": 0.008063} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 30367} |
aqua_math-5751 | aqua_math | choice | {"question": "A certain Sky Blue paint contains 10 percent blue pigment and 90 percent red pigment by weight. A certain green paint contains 70 percent blue pigment and 30 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint w... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "4.5", "c": "3.5", "a": "1.5", "e": "5.5", "b": "2.5"}} | "d" | {"d": 0.760027, "c": 0.060835, "a": 0.033337, "e": 0.025517, "b": 0.120283} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.200091, "c": 0.202783, "a": 0.111124, "e": 0.085057, "b": 0.400945} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 73730} |
aqua_math-9402 | aqua_math | choice | {"question": "A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 36 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "3", "b": "4", "d": "9", "e": "12", "c": "6"}} | "d" | {"a": 0.012825, "b": 0.0216, "d": 0.79652, "e": 0.019025, "c": 0.15003} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.042751, "b": 0.072001, "d": 0.321732, "e": 0.063415, "c": 0.500101} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 62070} |
aqua_math-1436 | aqua_math | choice | {"question": "A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "33 1/3 %", "a": "33 1/8 %", "d": "32 1/3 %", "b": "33 9/3 %", "e": "33 1/2 %"}} | "c" | {"c": 0.959422, "a": 0.013706, "d": 0.01282, "b": 0.007073, "e": 0.006979} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.864741, "a": 0.045688, "d": 0.042734, "b": 0.023575, "e": 0.023262} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 32979} |
aqua_math-4996 | aqua_math | choice | {"question": "The owner of a local jewelry store hired two watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 5 more besides. He escaped with two diamonds. How many did he stea... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "Cannot be determined", "b": "36", "d": "None of these", "c": "25", "a": "50"}} | "a" | {"e": 0.008883, "b": 0.082657, "d": 0.035137, "c": 0.076287, "a": 0.797037} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.029611, "b": 0.275522, "d": 0.117122, "c": 0.254288, "a": 0.323456} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 43096} |
aqua_math-334 | aqua_math | choice | {"question": "A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 3300. What is the share of B ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "1100", "b": "800", "c": "1400", "d": "600", "e": "None of them"}} | "d" | {"a": 0.011175, "b": 0.022694, "c": 0.014796, "d": 0.93226, "e": 0.019074} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.03725, "b": 0.075647, "c": 0.049321, "d": 0.7742, "e": 0.063581} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 12853} |
aqua_math-5281 | aqua_math | choice | {"question": "If (2^13)(25^S) = 5(10^m) what is the value of m ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "23", "b": "13", "c": "15", "a": "7", "d": "16"}} | "b" | {"e": 0.034158, "b": 0.779287, "c": 0.064021, "a": 0.050331, "d": 0.072205} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.113859, "b": 0.264288, "c": 0.213402, "a": 0.167768, "d": 0.240682} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 27334} |
aqua_math-1665 | aqua_math | choice | {"question": "Four people are to be selected to receive a modeling contract from a group of 10 men, 5 women and 2 children. How many ways are possible in which 2 men, one woman and one child will receive a contract?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "225", "a": "90", "d": "450", "b": "180", "e": "900"}} | "d" | {"c": 0.011081, "a": 0.014919, "d": 0.843295, "b": 0.034746, "e": 0.095958} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.036937, "a": 0.049731, "d": 0.47765, "b": 0.115821, "e": 0.319861} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 86773} |
aqua_math-3080 | aqua_math | choice | {"question": "How many positive factors of 42 are not factors of 56?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "3", "b": "2", "a": "1", "e": "5", "d": "4"}} | "d" | {"c": 0.116073, "b": 0.034857, "a": 0.014917, "e": 0.032603, "d": 0.80155} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.38691, "b": 0.116189, "a": 0.049722, "e": 0.108678, "d": 0.338501} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 21805} |
aqua_math-2623 | aqua_math | choice | {"question": "What approximate value should come in place of the question mark (?) in each of the following equations ?\n27.874 x 15.01 3 = ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "137", "a": "135", "d": "28", "c": "139", "e": "27"}} | "c" | {"b": 0.040432, "a": 0.116229, "d": 0.030536, "c": 0.781018, "e": 0.031786} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.134772, "a": 0.387428, "d": 0.101788, "c": 0.270059, "e": 0.105953} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 89368} |
aqua_math-4054 | aqua_math | choice | {"question": "A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "50 kmph", "a": "10 kmph", "c": "30 kmph", "d": "40 kmph", "b": "20 kmph"}} | "a" | {"e": 0.042721, "a": 0.757325, "c": 0.050153, "d": 0.075902, "b": 0.073899} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.142402, "a": 0.191085, "c": 0.167177, "d": 0.253005, "b": 0.246331} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63875} |
aqua_math-8818 | aqua_math | choice | {"question": "A certain club has 10 members, including Jarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Jarry ... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "1/10", "b": "1/80", "d": "1/9", "e": "1/5", "a": "1/720"}} | "e" | {"c": 0.01097, "b": 0.016938, "d": 0.015949, "e": 0.94539, "a": 0.010752} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.036567, "b": 0.056461, "d": 0.053165, "e": 0.817967, "a": 0.035841} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 47181} |
aqua_math-8739 | aqua_math | choice | {"question": "If six persons sit in a row, then the probability that three particular persons are always together is?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "1/5", "a": "1/8", "b": "1/2", "d": "1/1", "e": "1/4"}} | "c" | {"c": 0.930394, "a": 0.02788, "b": 0.016334, "d": 0.011197, "e": 0.014195} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.76798, "a": 0.092933, "b": 0.054447, "d": 0.037323, "e": 0.047317} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 45736} |
aqua_math-9805 | aqua_math | choice | {"question": "The distance between two stars is 6.52 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "9 × 10^8", "b": "4 × 10^6", "d": "7 × 10^7", "a": "2 × 10^5", "c": "5 × 10^7"}} | "a" | {"e": 0.005954, "b": 0.034411, "d": 0.006034, "a": 0.94061, "c": 0.012991} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.019846, "b": 0.114702, "d": 0.020113, "a": 0.802033, "c": 0.043305} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 69164} |
aqua_math-6395 | aqua_math | choice | {"question": "Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "48", "a": "24", "d": "96", "c": "72", "e": "120"}} | "b" | {"b": 0.748495, "a": 0.042998, "d": 0.032475, "c": 0.15514, "e": 0.020892} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.161649, "a": 0.143327, "d": 0.108249, "c": 0.517134, "e": 0.06964} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 76224} |
aqua_math-2381 | aqua_math | choice | {"question": "of polynomial for degree of x>+1 where f(x2)=f(x)2=f(f(x))"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "1", "d": "3", "c": "2", "e": "4", "a": "0"}} | "b" | {"b": 0.74886, "d": 0.041067, "c": 0.133145, "e": 0.033606, "a": 0.043322} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.162867, "d": 0.136889, "c": 0.443817, "e": 0.11202, "a": 0.144407} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 86005} |
aqua_math-2914 | aqua_math | choice | {"question": "A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "80", "a": "40", "b": "50", "c": "60", "d": "70"}} | "b" | {"e": 0.016414, "a": 0.021445, "b": 0.797765, "c": 0.11325, "d": 0.051126} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.054714, "a": 0.071483, "b": 0.325883, "c": 0.377499, "d": 0.170421} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 7058} |
aqua_math-2907 | aqua_math | choice | {"question": "Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "51", "b": "77", "d": "96", "c": "26", "a": "22"}} | "d" | {"e": 0.154772, "b": 0.048379, "d": 0.72547, "c": 0.032834, "a": 0.038546} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.515905, "b": 0.161265, "d": 0.084899, "c": 0.109445, "a": 0.128486} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 76346} |
aqua_math-375 | aqua_math | choice | {"question": "Find the odd man out. 2, 3, 5, 9, 12, 17, 23"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "23", "b": "9", "a": "12", "d": "2", "e": "3"}} | "b" | {"c": 0.008622, "b": 0.727217, "a": 0.24046, "d": 0.014233, "e": 0.009468} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.02874, "b": 0.090723, "a": 0.801534, "d": 0.047443, "e": 0.031559} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 81110} |
aqua_math-7328 | aqua_math | choice | {"question": "A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "1350", "c": "1328", "e": "1829", "b": "1357", "d": "1329"}} | "a" | {"a": 0.910948, "c": 0.031194, "e": 0.015777, "b": 0.018522, "d": 0.023559} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.703162, "c": 0.10398, "e": 0.052589, "b": 0.061738, "d": 0.078532} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 10052} |
aqua_math-8777 | aqua_math | choice | {"question": "If 2x + 3y = 15; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "None of these", "c": "26", "d": "22", "a": "19", "b": "32"}} | "a" | {"e": 0.016151, "c": 0.152555, "d": 0.053783, "a": 0.724443, "b": 0.053068} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.053836, "c": 0.508518, "d": 0.179275, "a": 0.081476, "b": 0.176895} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 33508} |
aqua_math-9771 | aqua_math | choice | {"question": "If 5 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "63", "d": "160", "c": "120", "a": "280", "e": "1260"}} | "a" | {"b": 0.006465, "d": 0.02631, "c": 0.056363, "a": 0.88769, "e": 0.023172} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.021551, "d": 0.087699, "c": 0.187877, "a": 0.625632, "e": 0.077241} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 71102} |
aqua_math-2363 | aqua_math | choice | {"question": "The speed of a car is 90 km in the first hour and 80 km in the second hour. What is the average speed of the car?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "75", "c": "85", "e": "15", "a": "12", "d": "54"}} | "c" | {"b": 0.005079, "c": 0.980047, "e": 0.005671, "a": 0.003242, "d": 0.005962} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.016929, "c": 0.93349, "e": 0.018902, "a": 0.010805, "d": 0.019874} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 49725} |
aqua_math-4825 | aqua_math | choice | {"question": "A restaurant meal cost $40 and there was no tax. If the tip was more than 12 percent but less than 13 percent of the cost of the meal, then the total amount paid must have been between"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "$38 and $40", "e": "$36 and $37", "a": "$40 and $42", "d": "$44 and $45", "b": "$39 and $41"}} | "d" | {"c": 0.005549, "e": 0.005549, "a": 0.149848, "d": 0.822624, "b": 0.016431} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.018496, "e": 0.018496, "a": 0.499492, "d": 0.408747, "b": 0.054769} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 56174} |
aqua_math-3515 | aqua_math | choice | {"question": "A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 6 salespeople on staff, how many different arrangements of winners are pos... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "120", "e": "6", "c": "1,320", "d": "220", "b": "1,440"}} | "a" | {"a": 0.797975, "e": 0.0373, "c": 0.094124, "d": 0.020715, "b": 0.049885} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.326585, "e": 0.124334, "c": 0.313748, "d": 0.069051, "b": 0.166282} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 30667} |
aqua_math-2974 | aqua_math | choice | {"question": "A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find B's share."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "Rs. 2520", "c": "Rs. 2880", "a": "Rs. 3240", "e": "None of these", "d": "Rs. 3360"}} | "b" | {"b": 0.729034, "c": 0.198982, "a": 0.024731, "e": 0.024731, "d": 0.022522} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.096779, "c": 0.663274, "a": 0.082437, "e": 0.082437, "d": 0.075074} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 62773} |
aqua_math-2143 | aqua_math | choice | {"question": "The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.20 in 1970 was 150 percent of its price in 1960, what was its price in 1980?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "$ 2.70", "e": "$ 3.00", "b": "$ 2.00", "a": "$ 1.80", "c": "$ 2.40"}} | "a" | {"d": 0.02777, "e": 0.025121, "b": 0.01135, "a": 0.857971, "c": 0.077788} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.092566, "e": 0.083736, "b": 0.037834, "a": 0.52657, "c": 0.259295} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 66835} |
aqua_math-5453 | aqua_math | choice | {"question": "A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "27", "b": "31", "e": "18", "a": "25", "d": "29"}} | "e" | {"c": 0.035295, "b": 0.072157, "e": 0.741993, "a": 0.070254, "d": 0.080301} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.11765, "b": 0.240524, "e": 0.139977, "a": 0.234179, "d": 0.267669} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 35586} |
aqua_math-2807 | aqua_math | choice | {"question": "In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "900", "c": "250", "d": "600", "b": "750", "e": "800"}} | "a" | {"a": 0.728417, "c": 0.030179, "d": 0.054705, "b": 0.149073, "e": 0.037626} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.094725, "c": 0.100597, "d": 0.18235, "b": 0.496908, "e": 0.12542} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 92071} |
aqua_math-6927 | aqua_math | choice | {"question": "How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "12.0", "b": "12.1", "a": "12.8", "d": "12.2", "e": "12.4"}} | "b" | {"c": 0.017256, "b": 0.747656, "a": 0.043399, "d": 0.121469, "e": 0.07022} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.05752, "b": 0.158853, "a": 0.144664, "d": 0.404895, "e": 0.234067} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 34338} |
aqua_math-3237 | aqua_math | choice | {"question": "When N is divided by T, the quotient is S and the remainder is M. Which of the following expressions is equal to N?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "T(S – V)", "c": "ST + M", "a": "ST", "b": "S + V", "d": "T(S+V)"}} | "c" | {"e": 0.002826, "c": 0.986669, "a": 0.003673, "b": 0.002826, "d": 0.004006} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.009422, "c": 0.955562, "a": 0.012242, "b": 0.009422, "d": 0.013353} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 75881} |
aqua_math-9002 | aqua_math | choice | {"question": "A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "99", "c": "77", "d": "55", "e": "21", "a": "10"}} | "a" | {"b": 0.008355, "c": 0.014143, "d": 0.005234, "e": 0.009455, "a": 0.962813} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.027852, "c": 0.047143, "d": 0.017445, "e": 0.031517, "a": 0.876043} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 93434} |
aqua_math-8626 | aqua_math | choice | {"question": "Each student is given a four-character identification code. The first three characters are selected from the numbers 0 to 9 inclusive, and the last character is selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a differ... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "26,600", "b": "26,000", "e": "26,900", "a": "25,700", "c": "26,300"}} | "b" | {"d": 0.037547, "b": 0.896967, "e": 0.016394, "a": 0.018366, "c": 0.030726} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.125158, "b": 0.656557, "e": 0.054645, "a": 0.06122, "c": 0.10242} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 91644} |
aqua_math-9301 | aqua_math | choice | {"question": "Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 25 percent during the third year. What is the value of the account today?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "$12,705", "d": "$11,500", "c": "$10,500", "a": "$10,350", "b": "$8,662.50"}} | "b" | {"e": 0.00675, "d": 0.010643, "c": 0.008297, "a": 0.009374, "b": 0.964936} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.022501, "d": 0.035476, "c": 0.027658, "a": 0.031245, "b": 0.883121} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 57846} |
aqua_math-4324 | aqua_math | choice | {"question": "In a business, A and C invested amounts in the ratio 5 : 3 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 1863200 was their profit, and they invest half of profit in business again, then how much amount did B receive?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "248600", "c": "274000", "a": "245000", "e": "None of these", "b": "480200"}} | "c" | {"d": 0.028695, "c": 0.731509, "a": 0.015936, "e": 0.196659, "b": 0.027201} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.095649, "c": 0.10503, "a": 0.053121, "e": 0.65553, "b": 0.090669} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 74945} |
aqua_math-7421 | aqua_math | choice | {"question": "How many digits 2^10 has?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "99", "b": "35", "a": "3", "c": "50", "e": "101"}} | "a" | {"d": 0.015876, "b": 0.028777, "a": 0.908058, "c": 0.028018, "e": 0.019271} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.052919, "b": 0.095925, "a": 0.693526, "c": 0.093394, "e": 0.064237} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 62875} |
aqua_math-2298 | aqua_math | choice | {"question": "The center of a circle is (5, -2). (5, 5) is outside the circle, and (1, -2) is inside the circle. If the radius, r, is an\ninteger, how many possible values are there for r?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "2", "a": "9", "b": "5", "d": "3", "c": "8"}} | "b" | {"e": 0.025478, "a": 0.032844, "b": 0.753141, "d": 0.14676, "c": 0.041777} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.084926, "a": 0.109479, "b": 0.177137, "d": 0.4892, "c": 0.139258} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 95633} |
aqua_math-4534 | aqua_math | choice | {"question": "If x is 11 percent greater than 90, then x ="} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "91.0", "a": "99.9", "e": "71.2", "d": "70.9", "c": "88.0"}} | "a" | {"b": 0.01878, "a": 0.947772, "e": 0.01153, "d": 0.011763, "c": 0.010155} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.0626, "a": 0.825907, "e": 0.038432, "d": 0.039211, "c": 0.033849} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 62908} |
aqua_math-4321 | aqua_math | choice | {"question": "The avg. age of a group of 16 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "24 years", "d": "25 years", "e": "26 years", "b": "23 years", "a": "22 years"}} | "d" | {"c": 0.010176, "d": 0.918671, "e": 0.036469, "b": 0.021654, "a": 0.01303} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.033918, "d": 0.728904, "e": 0.121565, "b": 0.07218, "a": 0.043434} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 41313} |
aqua_math-332 | aqua_math | choice | {"question": "A man is 22 years older than his son. In two years, his age will be twice the age of his son. The\npresent age of his son is"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "21 years", "e": "26 years", "d": "24 years", "c": "22 years", "a": "20 years"}} | "a" | {"b": 0.008491, "e": 0.008382, "d": 0.003491, "c": 0.018687, "a": 0.96095} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.028303, "e": 0.027939, "d": 0.011638, "c": 0.062289, "a": 0.869832} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 5204} |
aqua_math-346 | aqua_math | choice | {"question": "On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 percent of the total consignment. How many eggs in total were in the consignment?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "900", "c": "800", "b": "600", "d": "200", "a": "500"}} | "b" | {"e": 0.014341, "c": 0.033512, "b": 0.905009, "d": 0.0267, "a": 0.020437} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.047804, "c": 0.111707, "b": 0.683363, "d": 0.089001, "a": 0.068124} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 83046} |
aqua_math-4402 | aqua_math | choice | {"question": "If 0 < c< 1 < d, which of the following must be true?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "1/c< 1 < 1/d", "e": "1/d< 1/c< 1", "d": "1/d< 1 < 1/c", "c": "1/c< 1/d< 1", "a": "1 < 1/c< 1/d"}} | "d" | {"b": 0.003218, "e": 0.005978, "d": 0.982675, "c": 0.00399, "a": 0.004139} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.010726, "e": 0.019927, "d": 0.94225, "c": 0.0133, "a": 0.013798} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63890} |
aqua_math-5785 | aqua_math | choice | {"question": "A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 39 grams of protein daily, how many grams of food X are in the mixture."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "120", "c": "150", "e": "200", "d": "160", "b": "140"}} | "a" | {"a": 0.824306, "c": 0.081047, "e": 0.02602, "d": 0.027085, "b": 0.041542} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.414354, "c": 0.270155, "e": 0.086735, "d": 0.090283, "b": 0.138473} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 72210} |
aqua_math-3792 | aqua_math | choice | {"question": "30% loss on cost price in what percent loss on selling price?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "38 %", "d": "42.85 %", "e": "None", "a": "28.44 %", "c": "40.35 %"}} | "d" | {"b": 0.007087, "d": 0.966992, "e": 0.009383, "a": 0.007993, "c": 0.008545} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.023623, "d": 0.889972, "e": 0.031278, "a": 0.026643, "c": 0.028484} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 15256} |
aqua_math-1685 | aqua_math | choice | {"question": "For which of the following values of s is (30+s)/s an integer?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "11", "b": "4", "e": "30", "a": "3", "c": "9"}} | "e" | {"d": 0.026645, "b": 0.041417, "e": 0.755577, "a": 0.145495, "c": 0.030866} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.088818, "b": 0.138058, "e": 0.185255, "a": 0.484984, "c": 0.102885} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 26302} |
aqua_math-7108 | aqua_math | choice | {"question": "How many positive integers less than 160 are there such that they are multiples of 13 or multiples of 12 but not both?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "19", "a": "18", "d": "23", "e": "25", "c": "20"}} | "d" | {"b": 0.02181, "a": 0.032136, "d": 0.732569, "e": 0.040335, "c": 0.17315} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.0727, "a": 0.107122, "d": 0.108563, "e": 0.13445, "c": 0.577165} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 84579} |
aqua_math-3067 | aqua_math | choice | {"question": "If two integers x, y (x>y) are selected from -10 to 1 (inclusive), how many possible cases are there?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "240", "b": "66", "d": "210", "a": "150", "c": "190"}} | "b" | {"e": 0.01982, "b": 0.856307, "d": 0.041066, "a": 0.01982, "c": 0.062986} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.066068, "b": 0.521024, "d": 0.136887, "a": 0.066068, "c": 0.209953} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 65547} |
aqua_math-9792 | aqua_math | choice | {"question": "What is 15% of 2/3 of 0.4?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "90", "b": "0.9", "e": "None of the above", "a": "0.09", "c": "9"}} | "a" | {"d": 0.008534, "b": 0.015996, "e": 0.014183, "a": 0.947753, "c": 0.013535} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.028448, "b": 0.053319, "e": 0.047276, "a": 0.825842, "c": 0.045115} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 56786} |
aqua_math-8345 | aqua_math | choice | {"question": "Mr. James sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "broke even", "d": "lost 10 cents", "b": "lost 4 cents", "e": "gained 10 cents", "c": "gained 4 cents"}} | "a" | {"a": 0.705975, "d": 0.01776, "b": 0.243905, "e": 0.016612, "c": 0.015747} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.019917, "d": 0.059201, "b": 0.813017, "e": 0.055374, "c": 0.052491} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 86231} |
aqua_math-7110 | aqua_math | choice | {"question": "The sum of two numbers is 16 and their difference is 4. Find their product."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "104", "b": "114", "c": "315", "e": "60", "d": "325"}} | "e" | {"a": 0.006314, "b": 0.009913, "c": 0.007487, "e": 0.967378, "d": 0.008908} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.021046, "b": 0.033043, "c": 0.024956, "e": 0.891262, "d": 0.029692} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 52721} |
aqua_math-7976 | aqua_math | choice | {"question": "On day one, a store sold 96 pens. On each of the next d days, the company sold 44 pens. If the average daily sales of pens over this time period (including day one) is 48 pens, what is the value of d?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "10", "c": "11", "a": "9", "d": "12", "e": "13"}} | "d" | {"b": 0.019046, "c": 0.035224, "a": 0.194928, "d": 0.729606, "e": 0.021196} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.063488, "c": 0.117414, "a": 0.649759, "d": 0.098686, "e": 0.070653} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 82146} |
aqua_math-6320 | aqua_math | choice | {"question": "If the mean of a data set is 75 and the standard deviation is 10, what is the range of scores that fall within one standard deviation of the mean?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "65, 90}", "a": "65, 80}", "c": "65, 70}", "d": "65, 80}", "e": "65, 85}"}} | "e" | {"b": 0.004984, "a": 0.026078, "c": 0.004963, "d": 0.005857, "e": 0.958119} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.016612, "a": 0.086926, "c": 0.016543, "d": 0.019524, "e": 0.860395} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 55085} |
aqua_math-5032 | aqua_math | choice | {"question": "What is the tens digit of 6^10?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "3", "c": "5", "e": "9", "a": "7", "d": "1"}} | "a" | {"b": 0.025542, "c": 0.033369, "e": 0.065102, "a": 0.785054, "d": 0.090933} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.085139, "c": 0.111231, "e": 0.217007, "a": 0.283513, "d": 0.303109} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 12282} |
aqua_math-4079 | aqua_math | choice | {"question": "A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "87", "b": "77", "e": "21", "c": "54", "a": "22"}} | "c" | {"d": 0.093771, "b": 0.030271, "e": 0.068953, "c": 0.776735, "a": 0.030271} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.312569, "b": 0.100903, "e": 0.229843, "c": 0.255783, "a": 0.100903} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 50952} |
aqua_math-1592 | aqua_math | choice | {"question": "In a group of 80 students, each student is registered for at least one of three classes – History, Math and English. 35 students are registered for History, 35 are registered for Math, and 46 students are registered for English. If only three students are registered for all three classes, how many student... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "8", "e": "30", "b": "10", "c": "9", "a": "13"}} | "e" | {"d": 0.019268, "e": 0.750442, "b": 0.02995, "c": 0.090825, "a": 0.109515} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.064226, "e": 0.168139, "b": 0.099833, "c": 0.302751, "a": 0.365052} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 90520} |
aqua_math-5111 | aqua_math | choice | {"question": "If a man crosses a 500 m long street in 5 minutes. What is his speed?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "7.2 km/hr", "a": "6 km/hr", "b": "7.1 km/hr", "d": "8 km/hr", "e": "8.5 km/hr"}} | "a" | {"c": 0.054483, "a": 0.927716, "b": 0.006473, "d": 0.006039, "e": 0.005288} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.181612, "a": 0.759054, "b": 0.021576, "d": 0.020131, "e": 0.017627} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 84595} |
aqua_math-333 | aqua_math | choice | {"question": "Find out the wrong number in the given sequence of numbers.\n1, 2, 6, 15, 31, 56, 93"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "93", "b": "6", "c": "15", "a": "2", "e": "91"}} | "d" | {"d": 0.899798, "b": 0.014646, "c": 0.012187, "a": 0.010074, "e": 0.063295} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.665994, "b": 0.048821, "c": 0.040624, "a": 0.033579, "e": 0.210982} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 30857} |
aqua_math-4647 | aqua_math | choice | {"question": "A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "67892", "a": "20088", "e": "25781", "b": "20000", "d": "28826"}} | "b" | {"c": 0.002315, "a": 0.007098, "e": 0.004124, "b": 0.982077, "d": 0.004387} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.007716, "a": 0.023658, "e": 0.013745, "b": 0.940258, "d": 0.014622} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 47946} |
aqua_math-2476 | aqua_math | choice | {"question": "If x is an integer, then x(x - 1)(x - m) must be evenly divisible by three when m is any of the following values EXCEPT"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "-1", "b": "-2", "a": "-4", "d": "2", "e": "5"}} | "b" | {"c": 0.027235, "b": 0.757571, "a": 0.054574, "d": 0.115361, "e": 0.04526} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.090783, "b": 0.191903, "a": 0.181912, "d": 0.384537, "e": 0.150866} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 31296} |
aqua_math-5990 | aqua_math | choice | {"question": "A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "3", "d": "5", "b": "4", "c": "6", "a": "2"}} | "b" | {"e": 0.006787, "d": 0.009737, "b": 0.971561, "c": 0.007208, "a": 0.004706} | 0.7 | false | google/gemma-4-26B-A4B-it | {"e": 0.022625, "d": 0.032458, "b": 0.905205, "c": 0.024027, "a": 0.015686} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 85993} |
aqua_math-4675 | aqua_math | choice | {"question": "The price of 3 chudi and 6 tops is Rs. 1500. With the same money one can buy 1 chudi and 12 tops. If one wants to buy 5 tops, how much shall she have to pay ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "1300", "b": "1000", "c": "1200", "a": "500", "e": "1500"}} | "a" | {"d": 0.013404, "b": 0.084221, "c": 0.01923, "a": 0.857853, "e": 0.025292} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.044681, "b": 0.280737, "c": 0.064099, "a": 0.526178, "e": 0.084305} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 50115} |
aqua_math-7535 | aqua_math | choice | {"question": "What is the perimeter of a square with area 9p^2/4 ?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "3p/4", "b": "3p^2/4", "c": "6p", "d": "3p^2", "e": "4p/3"}} | "c" | {"a": 0.015964, "b": 0.020856, "c": 0.928202, "d": 0.019121, "e": 0.015857} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.053213, "b": 0.069521, "c": 0.760673, "d": 0.063735, "e": 0.052858} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 10904} |
aqua_math-4278 | aqua_math | choice | {"question": "Pipe A can fill a tank in 2 hours. Due to a leak at the bottom, it takes 4 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "6", "a": "2", "b": "5", "d": "4", "e": "1"}} | "d" | {"c": 0.1223, "a": 0.042544, "b": 0.020363, "d": 0.798752, "e": 0.016042} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.407666, "a": 0.141812, "b": 0.067876, "d": 0.329174, "e": 0.053473} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 93768} |
aqua_math-3149 | aqua_math | choice | {"question": "The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 12 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the e... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "8", "b": "7", "a": "6", "d": "9", "e": "10"}} | "b" | {"c": 0.027815, "b": 0.740985, "a": 0.048115, "d": 0.124289, "e": 0.058797} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.092716, "b": 0.136615, "a": 0.160383, "d": 0.414295, "e": 0.19599} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 24749} |
aqua_math-3624 | aqua_math | choice | {"question": "The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "17 m", "d": "28 m", "c": "82 m", "e": "26 m", "a": "77 m"}} | "b" | {"b": 0.97535, "d": 0.007482, "c": 0.005784, "e": 0.007309, "a": 0.004075} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.917833, "d": 0.024939, "c": 0.019281, "e": 0.024362, "a": 0.013585} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 33425} |
aqua_math-4837 | aqua_math | choice | {"question": "Tanya prepared 4 different letters to 3 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "1/3", "b": "1/8", "e": "3/8", "a": "1/24", "c": "1/4"}} | "c" | {"d": 0.018025, "b": 0.0347, "e": 0.205298, "a": 0.01577, "c": 0.726207} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.060084, "b": 0.115666, "e": 0.684325, "a": 0.052567, "c": 0.087358} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 96529} |
aqua_math-7594 | aqua_math | choice | {"question": "The probability that a number selected at random from the first 50 natural numbers is a composite number is -."} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "17/98", "b": "17/25", "a": "17/27", "e": "17/20", "c": "17/29"}} | "b" | {"d": 0.019906, "b": 0.890556, "a": 0.028942, "e": 0.027071, "c": 0.033526} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.066354, "b": 0.635186, "a": 0.096472, "e": 0.090236, "c": 0.111753} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 93232} |
aqua_math-5759 | aqua_math | choice | {"question": "A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "210 m", "a": "110 m", "d": "360 m", "e": "280 m", "c": "310 m"}} | "b" | {"b": 0.753911, "a": 0.057637, "d": 0.030958, "e": 0.110954, "c": 0.04654} | 0.7 | false | google/gemma-4-26B-A4B-it | {"b": 0.179703, "a": 0.192124, "d": 0.103193, "e": 0.369848, "c": 0.155132} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 57469} |
aqua_math-9716 | aqua_math | choice | {"question": "Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 3?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "y = -1/2*x + 3", "b": "y = 1/2*x - 3", "e": "y = 2x − 3", "d": "y = 2x + 3", "c": "y = 1/2*x + 3"}} | "b" | {"a": 0.014076, "b": 0.926939, "e": 0.012905, "d": 0.01207, "c": 0.03401} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.04692, "b": 0.756463, "e": 0.043016, "d": 0.040235, "c": 0.113367} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 93070} |
aqua_math-3411 | aqua_math | choice | {"question": "A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "36 kg", "b": "3.696 kg", "a": "3.6 kg", "e": "None", "d": "36.9 kg"}} | "b" | {"c": 0.016772, "b": 0.881082, "a": 0.039456, "e": 0.034061, "d": 0.028628} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.055908, "b": 0.603608, "a": 0.13152, "e": 0.113537, "d": 0.095427} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 604} |
aqua_math-4155 | aqua_math | choice | {"question": "x+(1/x) = 2 find x^2 + (1/x^2)"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "2", "e": "6.25", "c": "4.25", "d": "5.25", "b": "3.25"}} | "a" | {"a": 0.97667, "e": 0.007198, "c": 0.006599, "d": 0.003855, "b": 0.005678} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.922234, "e": 0.023993, "c": 0.021997, "d": 0.01285, "b": 0.018926} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 11011} |
aqua_math-5375 | aqua_math | choice | {"question": "8 is 4% of a, and 4 is 8% of b. c equals b/a. What is the value of c?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "1", "e": "5", "b": "1/4", "a": "1/32", "d": "4"}} | "b" | {"c": 0.046213, "e": 0.055723, "b": 0.751429, "a": 0.039365, "d": 0.10727} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.154044, "e": 0.185744, "b": 0.171429, "a": 0.131216, "d": 0.357567} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 33851} |
aqua_math-144 | aqua_math | choice | {"question": "If w is divisible by 15 and 9, w must be a multiple of which of the following?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "25", "b": "18", "d": "36", "e": "45", "a": "12"}} | "e" | {"c": 0.005579, "b": 0.011105, "d": 0.006638, "e": 0.970966, "a": 0.005711} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.018598, "b": 0.037018, "d": 0.022127, "e": 0.90322, "a": 0.019038} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 51807} |
aqua_math-3027 | aqua_math | choice | {"question": "Which of the following cannot be the range of a set consisting of 5 odd multiples of 5?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "383", "b": "80", "c": "160", "d": "320", "e": "40"}} | "a" | {"a": 0.845593, "b": 0.042003, "c": 0.036748, "d": 0.035303, "e": 0.040352} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.485311, "b": 0.14001, "c": 0.122493, "d": 0.117678, "e": 0.134507} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 95930} |
aqua_math-8387 | aqua_math | choice | {"question": "Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 90 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "48", "d": "23", "b": "93", "c": "24", "e": "12"}} | "c" | {"a": 0.023105, "d": 0.018165, "b": 0.010224, "c": 0.90827, "e": 0.040236} | 0.7 | false | google/gemma-4-26B-A4B-it | {"a": 0.077018, "d": 0.060548, "b": 0.034079, "c": 0.694233, "e": 0.134121} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 14988} |
aqua_math-1820 | aqua_math | choice | {"question": "A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 90) square inches. What is the perimeter of the photograph, in inc... | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "30", "a": "10", "d": "40", "b": "20", "e": "50"}} | "a" | {"c": 0.053888, "a": 0.733754, "d": 0.072311, "b": 0.110908, "e": 0.029139} | 0.7 | false | google/gemma-4-26B-A4B-it | {"c": 0.179628, "a": 0.112513, "d": 0.241037, "b": 0.369693, "e": 0.097129} | false | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 64730} |
aqua_math-815 | aqua_math | choice | {"question": "A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 30 paise per sq. metre"} | {"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "s480", "e": "s980", "b": "s780", "c": "s880", "a": "s255"}} | "a" | {"d": 0.028398, "e": 0.047828, "b": 0.130333, "c": 0.065042, "a": 0.728398} | 0.7 | false | google/gemma-4-26B-A4B-it | {"d": 0.094661, "e": 0.159427, "b": 0.434443, "c": 0.216808, "a": 0.094661} | true | Apache-2.0 | {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 14159} |
End of preview. Expand in Data Studio
s1-decision-data
The training data of s1-gemma4-26b-decision, an open,
calibrated decision model: 101,292 typed decision rows with soft targets, plus the custom evaluation sets. Every
row is from a permissively licensed public dataset, a rule generator, or a synthetic generator, and carries its own
licence. Code that builds it: github.com/j-raghavan/s1-decision-model
(pipeline/, scripts/build_dataset.py).
What a row looks like
state, question, target, teacher_calibrated and provenance are stored as JSON text so every row has the same
schema; decode them with json.loads:
import json
from datasets import load_dataset
rows = load_dataset("j-raghavan/s1-decision-data", split="train")
row = {k: (json.loads(v) if k in ("state", "question", "target", "teacher_calibrated", "provenance") and v else v)
for k, v in rows[0].items()}
Decoded, a row looks like this:
{
"row_id": "aqua_math-3812",
"family": "aqua_math",
"task_type": "choice",
"state": {"...": "the text or JSON the decision is about"},
"question": {"type": "choice", "instructions": "...", "criteria": {"a": "...", "b": "..."}},
"gold": "b",
"target": {"a": 0.028, "b": 0.739, "c": 0.023, "d": 0.097, "e": 0.114},
"gold_weight": 0.7,
"holdout_family": false,
"teacher": "google/gemma-4-26B-A4B-it",
"teacher_calibrated": {"a": 0.094, "b": 0.128, "c": 0.075, "d": 0.323, "e": 0.379},
"teacher_conflict": false,
"license": "Apache-2.0",
"provenance": {"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 50970}
}
| Field | Meaning |
|---|---|
task_type |
choice (one of keyed options), noul (yes/no, keys true/false), score (ordinal, keys are level indices) |
state, question |
the model input; question.criteria holds the options |
gold |
the source dataset's (or rule generator's) answer |
target |
the soft target the model was trained on: gold_weight * one_hot(gold) + (1 - gold_weight) * teacher_calibrated |
teacher_calibrated |
the teacher's option distribution, calibrated per task family (2-fold cross-fitted); null for gold-only rows |
gold_weight |
how much the gold label counts: 0.9 rule-generated, 0.7 objective answer keys and consensus-filtered synthetic rows, 0.6 Super-NaturalInstructions, 0.5 subjective or crowd-noisy labels; injection and held-out rows are gold only |
teacher_conflict |
the teacher put little probability on the gold answer (kept, flagged for audit) |
holdout_family |
whole task families held out for validation of unseen instructions (1,735 rows) |
license, provenance |
the row's source licence and where it came from |
At training time options are reshuffled per example (except ordinal scales) and rendered with letters; see
s1/decoder.py in the repository for the exact prompt.
Composition
| Source | Rows | Licence |
|---|---|---|
| Super-NaturalInstructions, 198 audited decision tasks | 29,426 | per task: CC-BY, Apache-2.0, MIT, CC-BY-SA, CC0, OANC, BSD |
| Rule-generated structured decisions (invoices, deploy gates, SLAs, payload validation, ...) | 18,423 | Apache-2.0 |
Synthetic policy task families (generated by openai/gpt-oss-120b) |
11,846 | Apache-2.0 |
| Civil Comments (toxicity) | 6,659 | CC0-1.0 |
| SNLI (entailment) | 5,584 | CC-BY-SA-4.0 |
| SPML Chatbot Prompt Injection | 4,400 | MIT |
| CLINC150 (intent; includes injection-task negatives) | 4,218 | CC-BY-3.0 |
| DBpedia-14 (topic) | 3,333 | CC-BY-SA-3.0 |
| WANLI (entailment) | 3,329 | CC-BY-4.0 |
| MASSIVE en-US (intent; includes injection-task negatives) | 3,278 | CC-BY-4.0 |
| AQuA-RAT (math) | 2,196 | Apache-2.0 |
| CommonsenseQA | 2,149 | MIT |
| BoolQ (passage QA) | 2,101 | CC-BY-SA-3.0 |
| LLMail-Inject challenge | 1,800 | MIT |
| Lakera Gandalf ignore-instructions | 1,800 | MIT |
| ARC (science) | 750 | CC-BY-SA-4.0 |
| Total | 101,292 |
By type: 55,097 choice, 37,705 yes/no, 8,490 ordinal. Rows by licence, every Super-NaturalInstructions task with its upstream sources and instance licence, and the source organisations: ATTRIBUTION.md.
How it was made
- Conversion. Public datasets become typed questions (
pipeline/sources.py); Super-NaturalInstructions tasks were kept only if English, with 2–20 fixed answers, a permissive instance licence, and no source shared with an evaluation set (pipeline/sni_manifest.jsonlists every inclusion and exclusion). - Generators.
pipeline/structured.pywrites structured decisions whose answer is exact by construction.pipeline/generate_synthetic.pyasksopenai/gpt-oss-120bfor task families (a policy, a state shape, instances); a generated answer is kept only wheregoogle/gemma-4-26B-A4B-itindependently agrees. - Prompt injection. Attack prompts from SPML, Gandalf and LLMail-Inject, with benign intent questions as
negatives (
pipeline/injection.py), 9.6% of the mix. - Teacher labels.
google/gemma-4-26B-A4B-itin bf16 through vLLM 0.31.0, prompts starting with<bos>, reads the option distribution in one forward pass (pipeline/label.py); calibration and blending inpipeline/targets.py. - Deduplication. Evaluation dev splits were deduplicated against the test sets and these rows; an exact-text check of every row against every JevBench case and the custom test set found no overlap.
About the targets in this release
The training session built its soft targets on the GPU and did not keep them. The targets here were regenerated
afterwards by repeating that exact step with the same code, rows, model and serving stack
(colab/session_relabel.py). They match the originals closely but not bit for bit: row-weighted teacher-gold
agreement is 0.8398 against 0.8397 in the training run, about 0.3% of rows changed their top answer (near-ties under
GPU numerics), and the synthetic consensus filter kept one row fewer (90,134 core rows against 90,135). The input rows,
gold labels, gold weights and the 11,335 gold-only rows are exactly those trained on.
177 training rows from Super-NaturalInstructions task 289 (Gigaword summarisation) are not redistributed: the task is marked MIT, but its text comes from a newswire corpus whose licence could not be verified.
Evaluation files
| File | Contents |
|---|---|
data/custom_test.jsonl |
1,200 rule-labelled structured-decision test cases (960 choice or yes/no, 240 ordinal), generated with no model involved; Apache-2.0 |
data/custom_dev.jsonl |
2,341 dev cases from the same generator with a different seed, used to choose the released snapshot |
data/jevbench_test_case_ids.txt, data/jevbench_dev_case_ids.txt |
the 1,700 JevBench test and 765 dev case ids used; the texts stay with JevBench |
Licence
Mixed, all permissive: each row's license field gives its source licence, and the row stays under it. Share-alike
rows (CC-BY-SA, 16,670 rows) must stay under their share-alike licence when redistributed; attribution for CC-BY
sources is in ATTRIBUTION.md. Rows written by this project's generators are Apache-2.0. OANC rows
(1,266, from MultiNLI via Super-NaturalInstructions) can be treated as CC-BY-SA-3.0 to be conservative.
Limitations
- English only. Sources carry their own biases (crowd-written NLI, toxicity annotations, web text).
- Teacher-derived targets inherit the teacher's errors;
teacher_conflictflags rows where the teacher disagreed sharply with the gold answer. - Injection rows include real attack prompts; they are labelled as such and meant for training detectors.
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Models trained or fine-tuned on j-raghavan/s1-decision-data