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aqua_math-1171
aqua_math
choice
{"question": "A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "126", "c": "266", "e": "271", "b": "776", "d": "299"}}
"a"
{"a": 0.817755, "c": 0.052806, "e": 0.020717, "b": 0.033972, "d": 0.07475}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.392516, "c": 0.17602, "e": 0.069058, "b": 0.113239, "d": 0.249166}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 5710}
aqua_math-3872
aqua_math
choice
{"question": "The population of a town is 10000. It increases annually at the rate of 15% p.a. What will be its population after 2 years?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "13500", "a": "13300", "e": "13600", "b": "13350", "c": "13225"}}
"c"
{"d": 0.009649, "a": 0.014265, "e": 0.008816, "b": 0.009617, "c": 0.957654}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.032162, "a": 0.047549, "e": 0.029388, "b": 0.032055, "c": 0.858845}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 5341}
aqua_math-999
aqua_math
choice
{"question": "A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 7 rows or 9 rows, then no tree will be left. Find the least number of trees required"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "22", "d": "76", "e": "21", "c": "126", "b": "60"}}
"c"
{"a": 0.004531, "d": 0.008105, "e": 0.005764, "c": 0.974366, "b": 0.007234}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.015104, "d": 0.027015, "e": 0.019212, "c": 0.914555, "b": 0.024114}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 67219}
aqua_math-9166
aqua_math
choice
{"question": "The distance between two stars is 2.5 × 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": {"d": "9.9 × 10^5", "e": "1.1 × 10^6", "a": "5.5 × 10^3", "b": "3.3 × 10^4", "c": "7.7 × 10^4"}}
"c"
{"d": 0.004959, "e": 0.01474, "a": 0.006693, "b": 0.01002, "c": 0.963587}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.01653, "e": 0.049134, "a": 0.022312, "b": 0.033402, "c": 0.878622}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 17248}
aqua_math-1459
aqua_math
choice
{"question": "Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "4 hrs", "c": "7 hrs", "d": "9 hrs", "b": "5 hrs", "e": "8 hrs"}}
"b"
{"a": 0.016877, "c": 0.10052, "d": 0.047553, "b": 0.75811, "e": 0.07694}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.056256, "c": 0.335067, "d": 0.158509, "b": 0.1937, "e": 0.256468}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 52235}
aqua_math-9333
aqua_math
choice
{"question": "If the numbers 1 to 95 are written on 95 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "2", "b": "1/25", "a": "1/50", "d": "1", "c": "1/95"}}
"c"
{"e": 0.004062, "b": 0.0058, "a": 0.008294, "d": 0.003881, "c": 0.977964}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.013539, "b": 0.019335, "a": 0.027645, "d": 0.012935, "c": 0.926546}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 44123}
aqua_math-6299
aqua_math
choice
{"question": "A man swims downstream 36 km and upstream 26 km taking 2 hours each time, what is the speed of the man in still water?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "9", "d": "16.7", "c": "15.5", "e": "13.4", "b": "18.4"}}
"c"
{"a": 0.059762, "d": 0.074012, "c": 0.763044, "e": 0.051591, "b": 0.051591}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.199207, "d": 0.246708, "c": 0.210147, "e": 0.171969, "b": 0.171969}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 87183}
aqua_math-6249
aqua_math
choice
{"question": "Two trains are moving in the same direction at 54 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "257", "b": "277", "e": "271", "c": "187", "a": "135"}}
"a"
{"d": 0.015319, "b": 0.025037, "e": 0.014092, "c": 0.030189, "a": 0.915363}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.051065, "b": 0.083455, "e": 0.046972, "c": 0.100629, "a": 0.717878}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 79142}
aqua_math-4202
aqua_math
choice
{"question": "A person was asked to state his age in years. His reply was , \"Take my age 4 years hence, multiply it by 4 and subtract 4 times my age 4 years ago and you will know how old I am.\" What was the age of the person ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "32", "c": "27", "d": "26", "a": "18", "e": "19"}}
"b"
{"b": 0.750389, "c": 0.045279, "d": 0.035359, "a": 0.095713, "e": 0.073261}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.167962, "c": 0.150929, "d": 0.117864, "a": 0.319043, "e": 0.244202}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 36458}
aqua_math-4251
aqua_math
choice
{"question": "A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "52/7", "b": "8", "d": "6", "e": "43/6", "c": "14/2"}}
"a"
{"a": 0.761238, "b": 0.036849, "d": 0.030561, "e": 0.14796, "c": 0.023392}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.204126, "b": 0.122832, "d": 0.101869, "e": 0.493201, "c": 0.077973}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 2580}
aqua_math-325
aqua_math
choice
{"question": "The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "276", "b": "299", "e": "368", "d": "345", "c": "322"}}
"e"
{"a": 0.004382, "b": 0.013289, "e": 0.967111, "d": 0.00997, "c": 0.005249}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.014607, "b": 0.044296, "e": 0.890371, "d": 0.033232, "c": 0.017495}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 16348}
aqua_math-8811
aqua_math
choice
{"question": "Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "20% less than N", "e": "25% greater than N", "c": "equal to N", "b": "25% less than N", "d": "20% greater than N"}}
"a"
{"a": 0.903426, "e": 0.013925, "c": 0.011668, "b": 0.017536, "d": 0.053445}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.678086, "e": 0.046416, "c": 0.038894, "b": 0.058452, "d": 0.178152}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 65577}
aqua_math-6180
aqua_math
choice
{"question": "s is a positive integer and multiple of 2; p = 4^s, what is the remainder when p is divided by 10?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "4", "d": "0", "b": "6", "e": "It Cannot Be Determined", "a": "10"}}
"b"
{"c": 0.179413, "d": 0.012635, "b": 0.794453, "e": 0.009046, "a": 0.004453}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.598044, "d": 0.042116, "b": 0.314844, "e": 0.030153, "a": 0.014842}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 79291}
aqua_math-1963
aqua_math
choice
{"question": "At a certain zoo, the ratio of lions to penguins is 3 to 11. If there are 82 more penguins than lions at the zoo, how many lions are there?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "24", "e": "132", "d": "72", "c": "48", "b": "30"}}
"b"
{"a": 0.171213, "e": 0.030123, "d": 0.01753, "c": 0.039618, "b": 0.741516}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.57071, "e": 0.100409, "d": 0.058435, "c": 0.132061, "b": 0.138386}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 23808}
aqua_math-3173
aqua_math
choice
{"question": "45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "188", "d": "100", "a": "338", "e": "281", "b": "667"}}
"d"
{"c": 0.036588, "d": 0.760804, "a": 0.049097, "e": 0.102406, "b": 0.051105}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.121961, "d": 0.20268, "a": 0.163656, "e": 0.341352, "b": 0.170351}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 38043}
aqua_math-1214
aqua_math
choice
{"question": "How many minutes does it take John to type y words if he types at the rate of v words per minute?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "60x/y", "c": "xy", "e": "y/(60x)", "b": "y/v", "a": "x/y"}}
"b"
{"d": 0.003236, "c": 0.006871, "e": 0.003236, "b": 0.982354, "a": 0.004304}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.010786, "c": 0.022903, "e": 0.010786, "b": 0.94118, "a": 0.014346}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 74989}
aqua_math-5686
aqua_math
choice
{"question": "How much is 80% of 40 is greater than 4/5 of 20?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "16", "a": "12", "e": "81", "c": "18", "b": "27"}}
"d"
{"d": 0.723993, "a": 0.239076, "e": 0.009226, "c": 0.021274, "b": 0.006431}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.079977, "a": 0.796919, "e": 0.030755, "c": 0.070912, "b": 0.021438}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 68677}
aqua_math-6592
aqua_math
choice
{"question": "A grocer stacked oranges in a pile. The bottom layer was rectangular with 3 rows of 7 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maxim...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "4", "d": "2", "a": "5", "c": "3", "e": "1"}}
"a"
{"b": 0.037274, "d": 0.075694, "a": 0.721838, "c": 0.120847, "e": 0.044347}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.124245, "d": 0.252315, "a": 0.072792, "c": 0.402824, "e": 0.147824}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 6778}
aqua_math-729
aqua_math
choice
{"question": "A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in ------- days?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "22 days", "a": "15 days", "e": "19 days", "d": "11 days", "b": "13 days"}}
"a"
{"c": 0.027185, "a": 0.775077, "e": 0.029064, "d": 0.090526, "b": 0.078148}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.090617, "a": 0.250255, "e": 0.09688, "d": 0.301754, "b": 0.260494}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 62843}
aqua_math-5260
aqua_math
choice
{"question": "The speed at which a man can row a boat in still water is 24 kmph. If he rows downstream, where the speed of current is 8 kmph, what time will he take to cover 40 metres?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "4.49 seconds", "b": "8.89 seconds", "e": "16 seconds", "c": "26 seconds", "d": "12 seconds"}}
"a"
{"a": 0.774382, "b": 0.105292, "e": 0.026933, "c": 0.029182, "d": 0.064211}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.247939, "b": 0.350972, "e": 0.089778, "c": 0.097274, "d": 0.214037}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 31456}
aqua_math-4164
aqua_math
choice
{"question": "one bottle is half-full of oil and another bottle with twice the capacity is one quarter full of oil. if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both, what fractions of the contents...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "1/2", "b": "1/3", "c": "3/8", "a": "1/4", "d": "2/3"}}
"b"
{"e": 0.017544, "b": 0.823493, "c": 0.102417, "a": 0.030348, "d": 0.026198}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.058479, "b": 0.411644, "c": 0.341391, "a": 0.101159, "d": 0.087327}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 15240}
aqua_math-5076
aqua_math
choice
{"question": "How many pieces can a square pizza be cut into by making 4 linear cuts?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "14", "a": "10", "b": "11", "d": "13", "c": "12"}}
"b"
{"e": 0.024967, "a": 0.03464, "b": 0.823325, "d": 0.081489, "c": 0.035579}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.083222, "a": 0.115468, "b": 0.411084, "d": 0.27163, "c": 0.118596}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 31137}
aqua_math-5070
aqua_math
choice
{"question": "In the formula Y = 1/(2x+2)^3, if x is halved, then Y is multiplied by"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "8", "c": "8/27", "b": "27/8", "e": "1/27", "a": "27"}}
"b"
{"d": 0.021256, "c": 0.090034, "b": 0.838091, "e": 0.024295, "a": 0.026324}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.070852, "c": 0.300114, "b": 0.460303, "e": 0.080984, "a": 0.087747}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 6371}
aqua_math-8698
aqua_math
choice
{"question": "What is the HCF of 2/3, 5/9 and 6/5"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "8/45", "c": "4/15", "e": "9/45", "a": "1/45", "b": "2/45"}}
"a"
{"d": 0.019688, "c": 0.025043, "e": 0.013063, "a": 0.722428, "b": 0.219778}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.065625, "c": 0.083476, "e": 0.043544, "a": 0.07476, "b": 0.732595}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 26743}
aqua_math-5621
aqua_math
choice
{"question": "In what time a sum of money double itself at 2% per annum simple interest?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "40%", "c": "55%", "a": "60%", "b": "58%", "e": "50%"}}
"e"
{"d": 0.00892, "c": 0.011942, "a": 0.009356, "b": 0.009267, "e": 0.960515}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.029733, "c": 0.039806, "a": 0.031188, "b": 0.030891, "e": 0.868383}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 27425}
aqua_math-5502
aqua_math
choice
{"question": "The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "30,256", "b": "248", "c": "492", "a": "246", "d": "15,128"}}
"c"
{"e": 0.141228, "b": 0.038622, "c": 0.734706, "a": 0.030772, "d": 0.054672}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.470758, "b": 0.128741, "c": 0.115685, "a": 0.102573, "d": 0.182241}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 80261}
aqua_math-4478
aqua_math
choice
{"question": "Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "15", "a": "15.5", "d": "17", "c": "16", "e": "Cant be computed"}}
"d"
{"b": 0.002684, "a": 0.004234, "d": 0.702684, "c": 0.002684, "e": 0.287714}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.008947, "a": 0.014114, "d": 0.008947, "c": 0.008947, "e": 0.959045}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 33352}
aqua_math-8600
aqua_math
choice
{"question": "The G.C.D. of 1.08, 0.36 and 0.8 is:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "0.04", "e": "0.118", "d": "0.108", "c": "0.18", "b": "0.9"}}
"a"
{"a": 0.941293, "e": 0.024378, "d": 0.010679, "c": 0.011845, "b": 0.011805}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.804309, "e": 0.08126, "d": 0.035597, "c": 0.039483, "b": 0.039351}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 85751}
aqua_math-5677
aqua_math
choice
{"question": "Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 152km apart?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "2 1/3 hours", "a": "1 1/4 hours", "c": "4hours", "e": "6hours", "d": "3 3/4 hours"}}
"c"
{"b": 0.012023, "a": 0.013788, "c": 0.933727, "e": 0.029837, "d": 0.010625}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.040077, "a": 0.045961, "c": 0.779092, "e": 0.099455, "d": 0.035416}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 36432}
aqua_math-6354
aqua_math
choice
{"question": "A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "9 days", "c": "8 ½ days", "a": "6 days", "b": "8 days", "d": "7 ½ days"}}
"a"
{"e": 0.018366, "c": 0.056446, "a": 0.805795, "b": 0.042631, "d": 0.076762}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.06122, "c": 0.188153, "a": 0.35265, "b": 0.142104, "d": 0.255873}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 32455}
aqua_math-4529
aqua_math
choice
{"question": "Rick deposited $800 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "55.", "b": "25.", "a": "5.", "e": "65.", "c": "50."}}
"c"
{"d": 0.017964, "b": 0.023157, "a": 0.010918, "e": 0.03213, "c": 0.915831}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.059879, "b": 0.077191, "a": 0.036395, "e": 0.1071, "c": 0.719436}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 64745}
aqua_math-3222
aqua_math
choice
{"question": "In how many ways can a person post 5 letters in 4 letter boxes ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "54", "e": "5^5", "b": "1024", "d": "4^5", "a": "480"}}
"d"
{"c": 0.006547, "e": 0.007894, "b": 0.009144, "d": 0.972642, "a": 0.003774}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.021822, "e": 0.026312, "b": 0.03048, "d": 0.908807, "a": 0.012579}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 11668}
aqua_math-3882
aqua_math
choice
{"question": "At exactly what time past 4:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "21 3/23 minutes past 7:00", "b": "20 13/17 minutes past 7:00", "e": "22 4/9 minutes past 7:00", "d": "21 9/11 minutes past 4:00", "a": "20 13/21 minutes past 7:00"}}
"d"
{"c": 0.007592, "b": 0.009722, "e": 0.007149, "d": 0.96575, "a": 0.009787}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.025307, "b": 0.032406, "e": 0.023829, "d": 0.885834, "a": 0.032624}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 15055}
aqua_math-5264
aqua_math
choice
{"question": "A metallic sheet is of rectangular shape with dimensions 50 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "7500", "a": "5440", "b": "5120", "e": "8960", "c": "6420"}}
"a"
{"d": 0.010523, "a": 0.736967, "b": 0.193923, "e": 0.033665, "c": 0.024921}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.035078, "a": 0.123224, "b": 0.64641, "e": 0.112217, "c": 0.083071}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 68725}
aqua_math-4544
aqua_math
choice
{"question": "How many cubes of 50 cm edge can be put in a cubical box of 1 m edge."}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "10 cm", "c": "8 cm", "e": "7 cm", "a": "17 cm", "d": "6 cm"}}
"c"
{"b": 0.030052, "c": 0.905964, "e": 0.017122, "a": 0.019858, "d": 0.027005}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.100175, "c": 0.686546, "e": 0.057072, "a": 0.066192, "d": 0.090016}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 28066}
aqua_math-7614
aqua_math
choice
{"question": "If you roll 2 dice, what is the probability of rolling a 7?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "3/14", "c": "2/13", "e": "1/6", "a": "1/2", "b": "1/3"}}
"e"
{"d": 0.004729, "c": 0.005496, "e": 0.98157, "a": 0.004041, "b": 0.004165}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.015762, "c": 0.018319, "e": 0.938566, "a": 0.013471, "b": 0.013882}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 65605}
aqua_math-3158
aqua_math
choice
{"question": "If |x|/|4| > 1, which of the following must be true?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "x=4", "a": "x>4", "e": "x<-4", "b": "x<4", "d": "x!=4"}}
"d"
{"c": 0.014944, "a": 0.029946, "e": 0.026552, "b": 0.036594, "d": 0.891965}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.049814, "a": 0.099819, "e": 0.088505, "b": 0.121979, "d": 0.639882}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 91272}
aqua_math-6260
aqua_math
choice
{"question": "Complete the sequence:\nE G K Q ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "M", "b": "D", "e": "Z", "d": "F", "c": "Y"}}
"c"
{"a": 0.010464, "b": 0.012916, "e": 0.02676, "d": 0.010256, "c": 0.939605}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.034879, "b": 0.043052, "e": 0.0892, "d": 0.034187, "c": 0.798682}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 84805}
aqua_math-5193
aqua_math
choice
{"question": "If 5 (A's capital) = 10 (B's capital) = 15 (C's capital). Then the ratio of their capitals is?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "5:3:2", "c": "6:3:3", "d": "6:3:2", "b": "7:3:2", "a": "5:3:2"}}
"d"
{"e": 0.061111, "c": 0.033939, "d": 0.801556, "b": 0.032605, "a": 0.07079}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.203702, "c": 0.11313, "d": 0.338519, "b": 0.108683, "a": 0.235966}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 69561}
aqua_math-4417
aqua_math
choice
{"question": "Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 16 is 6?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "172", "e": "176", "d": "174", "a": "168", "c": "170"}}
"c"
{"b": 0.024931, "e": 0.05131, "d": 0.0527, "a": 0.036735, "c": 0.834325}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.083102, "e": 0.171033, "d": 0.175667, "a": 0.122449, "c": 0.44775}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 20606}
aqua_math-6603
aqua_math
choice
{"question": "5400 ÷ 9 ÷ 3 = ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "450", "a": "1800", "b": "900", "e": "None of these", "d": "300"}}
"e"
{"c": 0.015288, "a": 0.035016, "b": 0.01311, "e": 0.737561, "d": 0.199025}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.050961, "a": 0.116719, "b": 0.0437, "e": 0.125204, "d": 0.663416}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 42462}
aqua_math-8975
aqua_math
choice
{"question": "A shop owner sells 40 Pencils and gains SP of 15 pencils. Find the gain %?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "78%", "c": "50%", "a": "55%", "d": "60%", "b": "40%"}}
"d"
{"e": 0.036908, "c": 0.08121, "a": 0.072005, "d": 0.761335, "b": 0.048542}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.123026, "c": 0.2707, "a": 0.240018, "d": 0.204449, "b": 0.161807}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 71283}
aqua_math-6026
aqua_math
choice
{"question": "In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "388", "e": "281", "d": "277", "b": "190", "a": "347"}}
"b"
{"c": 0.020956, "e": 0.035294, "d": 0.029665, "b": 0.805612, "a": 0.108473}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.069854, "e": 0.117648, "d": 0.098883, "b": 0.352039, "a": 0.361577}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 79333}
aqua_math-5914
aqua_math
choice
{"question": "A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "12", "d": "77", "b": "20", "c": "88", "e": "4"}}
"e"
{"a": 0.005871, "d": 0.008282, "b": 0.00793, "c": 0.00721, "e": 0.970707}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.019572, "d": 0.027607, "b": 0.026433, "c": 0.024032, "e": 0.902357}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 72650}
aqua_math-8424
aqua_math
choice
{"question": "In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 55 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales o...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "9x/80", "b": "13x/20", "d": "20x/13", "e": "80x/11", "c": "80/9x"}}
"e"
{"a": 0.022471, "b": 0.021878, "d": 0.022773, "e": 0.90391, "c": 0.028968}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.074903, "b": 0.072927, "d": 0.075911, "e": 0.679699, "c": 0.096559}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 64228}
aqua_math-7249
aqua_math
choice
{"question": "R and B are integers. The expression (R+1)(B+1) is even. What can be said about R and B?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "They are both even numbers.", "e": "Nothing can be said surly on R and B", "d": "They are both odd.", "c": "At least one of them is odd.", "b": "At least one of them is even."}}
"c"
{"a": 0.009659, "e": 0.012811, "d": 0.009172, "c": 0.903797, "b": 0.064561}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.032198, "e": 0.042702, "d": 0.030572, "c": 0.679323, "b": 0.215204}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 68908}
aqua_math-6616
aqua_math
choice
{"question": "The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "1/96", "c": "1/98", "b": "1/48", "a": "2/21", "e": "1/68"}}
"a"
{"d": 0.022556, "c": 0.037484, "b": 0.019213, "a": 0.896633, "e": 0.024115}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.075185, "c": 0.124946, "b": 0.064043, "a": 0.655443, "e": 0.080382}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 22913}
aqua_math-7892
aqua_math
choice
{"question": "I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "65", "c": "54", "b": "37", "e": "50", "a": "25"}}
"a"
{"d": 0.025697, "c": 0.015829, "b": 0.008132, "e": 0.018708, "a": 0.931634}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.085658, "c": 0.052764, "b": 0.027107, "e": 0.062359, "a": 0.772112}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 50906}
aqua_math-6922
aqua_math
choice
{"question": "Today is Monday. After 61 days, it will be:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "sunday", "a": "Wednesday", "b": "Saturday", "d": "Thursday", "c": "Tuesday"}}
"b"
{"e": 0.018416, "a": 0.035451, "b": 0.887217, "d": 0.036412, "c": 0.022504}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.061386, "a": 0.118171, "b": 0.624058, "d": 0.121372, "c": 0.075014}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 37801}
aqua_math-3516
aqua_math
choice
{"question": "46-3*4^2+15 = ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "-13", "e": "None", "c": "-73", "d": "13", "a": "287"}}
"d"
{"b": 0.094608, "e": 0.045969, "c": 0.021315, "d": 0.808138, "a": 0.029971}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.31536, "e": 0.153229, "c": 0.071049, "d": 0.360459, "a": 0.099904}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 11134}
aqua_math-1
aqua_math
choice
{"question": "A man two flats for $675958 each. On one he gains 15% while on the other he loses 15%. How much does he gain or lose in the whole transaction?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "2.25%", "d": "4.65%", "c": "3.12%", "e": "5.12%", "a": "2%"}}
"b"
{"b": 0.854554, "d": 0.041706, "c": 0.015825, "e": 0.014802, "a": 0.073114}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.515179, "d": 0.139019, "c": 0.052749, "e": 0.049339, "a": 0.243714}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 2376}
aqua_math-9415
aqua_math
choice
{"question": "From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "756", "d": "654", "e": "546", "b": "700", "c": "650"}}
"a"
{"a": 0.856477, "d": 0.028466, "e": 0.063903, "b": 0.035967, "c": 0.015188}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.52159, "d": 0.094885, "e": 0.213009, "b": 0.119891, "c": 0.050625}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 26960}
aqua_math-5591
aqua_math
choice
{"question": "What is the greatest prime factor of 4^16 - 2^30?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "3", "c": "5", "e": "11", "a": "2", "d": "7"}}
"b"
{"b": 0.719664, "c": 0.036856, "e": 0.061249, "a": 0.021884, "d": 0.160346}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.065548, "c": 0.122855, "e": 0.204165, "a": 0.072946, "d": 0.534487}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 79590}
aqua_math-2473
aqua_math
choice
{"question": "Amit and Meghna went to New York for a 63 day holiday .Each day ,Amit\nspent as many as hundred dollar bills as the remaining number of days in the\ntrip (excluding the current day ) ,and Meghna spent as many as hundred\ndollar bills as the number of days already spent (including current day).\nHow much p...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "$12,600", "d": "$5000", "e": "$4000", "c": "$6300", "b": "$10000"}}
"c"
{"a": 0.041908, "d": 0.028064, "e": 0.02236, "c": 0.875158, "b": 0.032509}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.139695, "d": 0.093547, "e": 0.074533, "c": 0.583861, "b": 0.108364}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 73939}
aqua_math-4705
aqua_math
choice
{"question": "Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr.\nIf all pipes are opened simultaneously, then the cistern will be filled in"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "6", "d": "7.5", "a": "10.5", "e": "8.5", "b": "8"}}
"d"
{"c": 0.044776, "d": 0.82786, "a": 0.01281, "e": 0.015369, "b": 0.099184}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.149254, "d": 0.426201, "a": 0.042701, "e": 0.051231, "b": 0.330613}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 57796}
aqua_math-1818
aqua_math
choice
{"question": "Select the non termination decimal among the following."}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "3/4", "a": "22/3", "e": "9/10", "c": "4/5", "d": "7/8"}}
"a"
{"b": 0.003087, "a": 0.984219, "e": 0.004361, "c": 0.003777, "d": 0.004555}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.010292, "a": 0.947397, "e": 0.014537, "c": 0.012592, "d": 0.015183}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 89189}
aqua_math-8251
aqua_math
choice
{"question": "If there are three sum of money P, Q and R so that P is the simple interest on Q and Q is the simple interest of R, rate % and time are same in each case, then the relation of P, Q and R is given by"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "P2 = QR", "e": "None of these", "d": "PQR = 100", "c": "R2 = PQ", "b": "Q2 = PR"}}
"b"
{"a": 0.01594, "e": 0.013309, "d": 0.013132, "c": 0.018839, "b": 0.93878}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.053134, "e": 0.044362, "d": 0.043773, "c": 0.062797, "b": 0.795934}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 81318}
aqua_math-2633
aqua_math
choice
{"question": "An air conditioner can coo the hall in 25 minutes while another takes 30 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "about 34 minutes", "e": "about 4 minutes", "a": "about 16 minutes", "b": "about 24 minutes", "c": "about 14 minutes"}}
"c"
{"d": 0.013814, "e": 0.019851, "a": 0.03702, "b": 0.085074, "c": 0.844241}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.046047, "e": 0.06617, "a": 0.1234, "b": 0.283579, "c": 0.480805}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 28390}
aqua_math-1013
aqua_math
choice
{"question": "The standard model numbers of cell phones in a company are 1 letter followed by 6 digits. How many different model numbers are possible if letters and digits can be repeated?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "26 x 10", "d": "26 × 25 × 24 × 10 × 9 × 8 × 7", "b": "26 x 100 000", "a": "26 × 26 × 10 × 4", "e": "26 x 1 000 000"}}
"e"
{"c": 0.003109, "d": 0.004934, "b": 0.004037, "a": 0.002828, "e": 0.985091}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.010364, "d": 0.016446, "b": 0.013458, "a": 0.009428, "e": 0.950304}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 25311}
aqua_math-5905
aqua_math
choice
{"question": "Three small cruise ships, each carrying 8 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "10,752", "c": "11,364", "a": "9,832", "d": "12,548", "e": "13,786"}}
"b"
{"b": 0.90379, "c": 0.034445, "a": 0.02401, "d": 0.018625, "e": 0.01913}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.679301, "c": 0.114817, "a": 0.080033, "d": 0.062084, "e": 0.063766}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 32860}
aqua_math-1889
aqua_math
choice
{"question": "A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "50/13 hours", "c": "30/73 hours", "d": "30/13 hours", "a": "12/5 hours", "b": "80/13 hours"}}
"a"
{"e": 0.047623, "c": 0.037943, "d": 0.034785, "a": 0.82805, "b": 0.051599}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.158742, "c": 0.126476, "d": 0.115951, "a": 0.426833, "b": 0.171997}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 82997}
aqua_math-1427
aqua_math
choice
{"question": "Which of the following is not a prime number ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "751", "e": "853", "a": "743", "b": "740", "d": "757"}}
"b"
{"c": 0.002041, "e": 0.003983, "a": 0.002818, "b": 0.987867, "d": 0.003292}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.006802, "e": 0.013275, "a": 0.009394, "b": 0.959557, "d": 0.010973}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 52832}
aqua_math-5511
aqua_math
choice
{"question": "Mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60mph. Her husband Don drives after the ambulance at an average speed of 30mph. Mary reaches the hospital fifteen minutes later. How long does it take Don to get there from the store?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "25 minutes", "e": "7 minutes", "c": "10 minutes", "b": "30 minutes", "d": "15 minutes"}}
"b"
{"a": 0.004337, "e": 0.006761, "c": 0.003205, "b": 0.982166, "d": 0.003531}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.014456, "e": 0.022537, "c": 0.010684, "b": 0.940552, "d": 0.011771}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 29651}
aqua_math-9903
aqua_math
choice
{"question": "How many different 6-letter sequences are there that consist of 2A, 7B's and 3C's ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "720", "d": "360", "c": "120", "a": "6", "b": "60"}}
"c"
{"e": 0.052759, "d": 0.048046, "c": 0.768928, "a": 0.049348, "b": 0.080919}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.175862, "d": 0.160154, "c": 0.229759, "a": 0.164493, "b": 0.269731}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 77248}
aqua_math-7179
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 7500, 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": {"d": "2200", "b": "2700", "c": "2900", "a": "2800", "e": "2300"}}
"b"
{"d": 0.008393, "b": 0.869693, "c": 0.016692, "a": 0.021662, "e": 0.08356}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.027976, "b": 0.565642, "c": 0.05564, "a": 0.072207, "e": 0.278535}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 96554}
aqua_math-467
aqua_math
choice
{"question": "Find the odd man out\n1, 2, 5, 14, 41, 124"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "124", "d": "41", "e": "21", "b": "14", "a": "2"}}
"c"
{"c": 0.833524, "d": 0.059082, "e": 0.037007, "b": 0.032377, "a": 0.03801}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.44508, "d": 0.196941, "e": 0.123357, "b": 0.107923, "a": 0.126699}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 29767}
aqua_math-774
aqua_math
choice
{"question": "If c and d are both negative and cd < d^2, 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": "c < d < d^2 < c^2", "d": "c^2 < d^2 < d < c", "e": "d^2 < c^2 < d < c", "a": "c < d < c^2 < d^2", "c": "d < c < c^2 < d^2"}}
"c"
{"b": 0.069012, "d": 0.031786, "e": 0.015239, "a": 0.073782, "c": 0.810179}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.230042, "d": 0.105954, "e": 0.050798, "a": 0.245941, "c": 0.367265}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 43878}
aqua_math-2551
aqua_math
choice
{"question": "Five pieces of wood have an average length of 128cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "d) 130", "a": "a) 90", "b": "b) 100", "c": "c) 110", "e": "e) 140"}}
"c"
{"d": 0.034391, "a": 0.064457, "b": 0.047398, "c": 0.822436, "e": 0.031319}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.114635, "a": 0.214857, "b": 0.157992, "c": 0.40812, "e": 0.104396}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 16541}
aqua_math-4942
aqua_math
choice
{"question": "A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 4 times. Find how much spirit is left in the resulting mixture finally?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "8.192 gallons", "a": "8(257/525) gallons", "b": "8(346/625) gallons", "d": "8.25 gallons", "e": "None of these"}}
"c"
{"c": 0.786581, "a": 0.0373, "b": 0.083178, "d": 0.021135, "e": 0.071805}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.288605, "a": 0.124334, "b": 0.277261, "d": 0.07045, "e": 0.23935}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 45048}
aqua_math-9021
aqua_math
choice
{"question": "Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 12 percent solution will be requi...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "36", "e": "42", "a": "18", "c": "48", "b": "20"}}
"c"
{"d": 0.007569, "e": 0.053725, "a": 0.005852, "c": 0.915721, "b": 0.017134}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.025229, "e": 0.179084, "a": 0.019506, "c": 0.719069, "b": 0.057113}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 4047}
aqua_math-7022
aqua_math
choice
{"question": "Kelly and Jody packed boxes with books. If Jody packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "3 to 5", "a": "1 to 6", "e": "2 to 3", "b": "1 to 4", "c": "2 to 5"}}
"e"
{"d": 0.005177, "a": 0.008433, "e": 0.891824, "b": 0.00382, "c": 0.090746}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.017258, "a": 0.028111, "e": 0.639413, "b": 0.012733, "c": 0.302485}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 22510}
aqua_math-8544
aqua_math
choice
{"question": "If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^3 have?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "8", "c": "6", "a": "7", "e": "9", "b": "5"}}
"a"
{"d": 0.027054, "c": 0.030924, "a": 0.84773, "e": 0.065368, "b": 0.028924}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.090182, "c": 0.103078, "a": 0.492432, "e": 0.217894, "b": 0.096415}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 4587}
aqua_math-5579
aqua_math
choice
{"question": "There are 24 different four-digit integers than can be formed using the digits 2, 3, 4 and 5 exactly once in each integer. The addition problem above shows 4 such integers. What is the sum of all 24 such integers?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "84,844", "e": "93,324", "a": "24,444", "d": "90,024", "b": "28,000"}}
"e"
{"c": 0.025958, "e": 0.833467, "a": 0.041166, "d": 0.043427, "b": 0.055982}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.086526, "e": 0.44489, "a": 0.13722, "d": 0.144756, "b": 0.186608}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 35961}
aqua_math-763
aqua_math
choice
{"question": "A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 2 years ago?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "8", "b": "10", "e": "16", "c": "12", "d": "14"}}
"c"
{"a": 0.011242, "b": 0.040836, "e": 0.050573, "c": 0.799993, "d": 0.097356}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.037475, "b": 0.136119, "e": 0.168577, "c": 0.333311, "d": 0.324519}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 3757}
aqua_math-1881
aqua_math
choice
{"question": "Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $3 million from its orange exports, how much money does it generate from its yearly total of exports?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "$90m", "e": "$153m", "b": "$25.5m", "d": "$127.5m", "a": "$21.25m"}}
"c"
{"c": 0.7557, "e": 0.048407, "b": 0.034889, "d": 0.125881, "a": 0.035123}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.185668, "e": 0.161356, "b": 0.116296, "d": 0.419604, "a": 0.117076}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 75726}
aqua_math-254
aqua_math
choice
{"question": "A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "22", "d": "24", "b": "20", "e": "25", "a": "18"}}
"b"
{"c": 0.016756, "d": 0.032691, "b": 0.844138, "e": 0.03638, "a": 0.070034}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.055855, "d": 0.10897, "b": 0.480459, "e": 0.121268, "a": 0.233448}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 86735}
aqua_math-7
aqua_math
choice
{"question": "1397 x 1397 = ?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "1981709", "e": "None of these", "d": "2031719", "c": "18362619", "a": "1951609"}}
"a"
{"b": 0.013444, "e": 0.030998, "d": 0.009952, "c": 0.012325, "a": 0.933281}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.044813, "e": 0.103326, "d": 0.033173, "c": 0.041084, "a": 0.777604}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 60622}
aqua_math-1551
aqua_math
choice
{"question": "The G.C.D. of 1.08, 0.34 and 0.9 is:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "0.9", "a": "0.02", "e": "None", "d": "0.108", "c": "0.18"}}
"a"
{"b": 0.009705, "a": 0.943223, "e": 0.009641, "d": 0.009902, "c": 0.027529}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.032351, "a": 0.810742, "e": 0.032136, "d": 0.033006, "c": 0.091765}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63073}
aqua_math-462
aqua_math
choice
{"question": "What is the least possible value of expression E = (x-1)(x-3)(x-4)(x-6)+10 for real values of x?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "8", "b": "10", "c": "9", "d": "0", "a": "1"}}
"a"
{"e": 0.056525, "b": 0.045641, "c": 0.140273, "d": 0.028588, "a": 0.728973}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.188416, "b": 0.152138, "c": 0.467577, "d": 0.095294, "a": 0.096576}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 1566}
aqua_math-8814
aqua_math
choice
{"question": "Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 90 km/hr and 30 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": {"d": "60 sec", "a": "12 sec", "b": "24 sec", "e": "62 sec", "c": "30 sec"}}
"c"
{"d": 0.027279, "a": 0.076349, "b": 0.105226, "e": 0.024349, "c": 0.766797}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.090929, "a": 0.254498, "b": 0.350754, "e": 0.081164, "c": 0.222656}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 78665}
aqua_math-1581
aqua_math
choice
{"question": "Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $420 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "$1240 million", "a": "$214 million", "b": "$1120 million", "c": "$1144 million", "e": "$1080 million"}}
"e"
{"d": 0.02706, "a": 0.033737, "b": 0.016613, "c": 0.020301, "e": 0.902289}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.0902, "a": 0.112457, "b": 0.055376, "c": 0.067671, "e": 0.674296}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 63502}
aqua_math-3178
aqua_math
choice
{"question": "Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "7/40", "c": "3/56", "a": "3/140", "d": "3/35", "b": "1/28"}}
"e"
{"e": 0.802397, "c": 0.037078, "a": 0.022916, "d": 0.105171, "b": 0.032439}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.341323, "c": 0.123592, "a": 0.076386, "d": 0.350571, "b": 0.108129}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 24697}
aqua_math-7927
aqua_math
choice
{"question": "If y exceeds x by 30%, then x is less than y by?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "1/9%", "a": "1/7%", "e": "1/17%", "d": "1/13%", "c": "1/11%"}}
"d"
{"b": 0.035645, "a": 0.055407, "e": 0.030363, "d": 0.78274, "c": 0.095845}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.118818, "a": 0.184691, "e": 0.10121, "d": 0.275799, "c": 0.319483}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 48914}
aqua_math-5026
aqua_math
choice
{"question": "Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"d": "1.184G", "a": "1.124G", "e": "1.204G", "c": "1.164G", "b": "1.144G"}}
"b"
{"d": 0.137175, "a": 0.028333, "e": 0.013859, "c": 0.022424, "b": 0.798209}
0.7
false
google/gemma-4-26B-A4B-it
{"d": 0.457251, "a": 0.094443, "e": 0.046196, "c": 0.074745, "b": 0.327364}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 77115}
aqua_math-9261
aqua_math
choice
{"question": "The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "18 2/11%", "c": "18 2/81%", "a": "18 9/11%", "d": "19 2/11%", "e": "38 2/11%"}}
"b"
{"b": 0.877935, "c": 0.0264, "a": 0.057127, "d": 0.021568, "e": 0.01697}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.593117, "c": 0.088, "a": 0.190423, "d": 0.071893, "e": 0.056566}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 91960}
aqua_math-3021
aqua_math
choice
{"question": "Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 550. The income of the deceased was?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "None", "a": "Rs. 692.80", "c": "Rs. 990", "b": "Rs. 820", "d": "Rs. 1385"}}
"e"
{"e": 0.704866, "a": 0.019409, "c": 0.009767, "b": 0.197318, "d": 0.06864}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.016221, "a": 0.064697, "c": 0.032558, "b": 0.657725, "d": 0.228799}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 70890}
aqua_math-5122
aqua_math
choice
{"question": "Two trains of length 100 m and 200 m are 250 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "20/7 sec", "e": "53/2 sec", "a": "50/7 sec", "d": "32/3 sec", "b": "32/3 sec"}}
"a"
{"c": 0.025535, "e": 0.034494, "a": 0.830417, "d": 0.07243, "b": 0.037125}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.085116, "e": 0.114979, "a": 0.434723, "d": 0.241432, "b": 0.123751}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 30895}
aqua_math-4280
aqua_math
choice
{"question": "Cara and Dan will throw three dice each. The score is the sum of points on all three dice. If Cara scores 16 in her attempt, what is the probability that Dan will outscore Cara in his attempt?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "5/216", "a": "1/36", "c": "5/54", "b": "1/54", "d": "1/216"}}
"b"
{"e": 0.11486, "a": 0.058092, "c": 0.034957, "b": 0.731622, "d": 0.060469}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.382867, "a": 0.19364, "c": 0.116522, "b": 0.105407, "d": 0.201563}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 61224}
aqua_math-2309
aqua_math
choice
{"question": "Carina has 70 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "4", "a": "2", "d": "5", "e": "6", "b": "3"}}
"c"
{"c": 0.724426, "a": 0.031278, "d": 0.016605, "e": 0.029848, "b": 0.197843}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.081419, "a": 0.10426, "d": 0.055349, "e": 0.099495, "b": 0.659477}
true
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 4601}
aqua_math-816
aqua_math
choice
{"question": "The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "388", "d": "288", "c": "245", "e": "261", "b": "267"}}
"c"
{"a": 0.022266, "d": 0.177957, "c": 0.731101, "e": 0.024945, "b": 0.043732}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.07422, "d": 0.593189, "c": 0.103669, "e": 0.083151, "b": 0.145772}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 46342}
aqua_math-7952
aqua_math
choice
{"question": "Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what...
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "60.0", "d": "W=53.3", "b": "W=30.0", "c": "W=40.0", "a": "W=26.7"}}
"c"
{"e": 0.017368, "d": 0.170761, "b": 0.013838, "c": 0.770674, "a": 0.02736}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.057892, "d": 0.569203, "b": 0.046125, "c": 0.235581, "a": 0.091199}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 7211}
aqua_math-8320
aqua_math
choice
{"question": "A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "5%", "e": "9%", "c": "7%", "d": "8%", "b": "10%"}}
"b"
{"a": 0.005348, "e": 0.013955, "c": 0.004711, "d": 0.008307, "b": 0.96768}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.017828, "e": 0.046516, "c": 0.015702, "d": 0.027688, "b": 0.892266}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 67719}
aqua_math-3223
aqua_math
choice
{"question": "In how many ways can the letters of the word EDUCATION be arranged?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "362880", "a": "2580", "d": "2520", "b": "2500", "c": "2000"}}
"e"
{"e": 0.975613, "a": 0.006618, "d": 0.007564, "b": 0.004258, "c": 0.005947}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.918712, "a": 0.02206, "d": 0.025214, "b": 0.014192, "c": 0.019823}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 13925}
aqua_math-691
aqua_math
choice
{"question": "Two trains of equal lengths take 10 sec and 18 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"b": "9", "c": "13", "d": "14", "e": "12.8", "a": "11"}}
"e"
{"b": 0.011945, "c": 0.030332, "d": 0.024822, "e": 0.84394, "a": 0.088962}
0.7
false
google/gemma-4-26B-A4B-it
{"b": 0.039817, "c": 0.101107, "d": 0.082739, "e": 0.479799, "a": 0.296538}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 12587}
aqua_math-412
aqua_math
choice
{"question": "Find the length of the wire required to go 15 times round a square field containing 69696 m^2."}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"c": "15642", "b": "26480", "d": "15640", "a": "15840", "e": "15849"}}
"a"
{"c": 0.015693, "b": 0.018922, "d": 0.013457, "a": 0.933506, "e": 0.018423}
0.7
false
google/gemma-4-26B-A4B-it
{"c": 0.052309, "b": 0.063073, "d": 0.044856, "a": 0.778352, "e": 0.06141}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 13452}
aqua_math-2372
aqua_math
choice
{"question": "In the Hillside summer camp there are 50 kids. 90% of the kids are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of kids in the camp. How many more boys must she bring to make that happen?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "25.", "a": "50.", "d": "30.", "c": "40.", "b": "45."}}
"a"
{"e": 0.03789, "a": 0.797877, "d": 0.063815, "c": 0.052221, "b": 0.048197}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.126301, "a": 0.326256, "d": 0.212716, "c": 0.174071, "b": 0.160656}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 32056}
aqua_math-8172
aqua_math
choice
{"question": "If a is a positive integer, then 2^a + 2^(a - 1) ="}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "3(2^a)", "b": "2^(a + 1)", "c": "-1*(2^a)", "a": "2^a", "d": "2a^(a + 1)"}}
"c"
{"e": 0.064977, "b": 0.078348, "c": 0.751769, "a": 0.058387, "d": 0.046519}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.216589, "b": 0.261159, "c": 0.172564, "a": 0.194624, "d": 0.155064}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 54564}
aqua_math-480
aqua_math
choice
{"question": "Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "12", "d": "53", "b": "14", "e": "86", "c": "27"}}
"b"
{"a": 0.042205, "d": 0.024726, "b": 0.901622, "e": 0.01554, "c": 0.015907}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.140682, "d": 0.082421, "b": 0.672074, "e": 0.051799, "c": 0.053025}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 78290}
aqua_math-8471
aqua_math
choice
{"question": "When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"a": "20%", "e": "100%", "b": "40%", "d": "53.85%", "c": "50%"}}
"d"
{"a": 0.011022, "e": 0.169571, "b": 0.016024, "d": 0.770182, "c": 0.033201}
0.7
false
google/gemma-4-26B-A4B-it
{"a": 0.036738, "e": 0.565238, "b": 0.053414, "d": 0.23394, "c": 0.110669}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 88377}
aqua_math-2482
aqua_math
choice
{"question": "Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 1 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?"}
{"type": "choice", "instructions": "A math word problem is supplied in the state. Which answer is correct?", "criteria": {"e": "673", "c": "562", "b": "561", "a": "560", "d": "563"}}
"e"
{"e": 0.778663, "c": 0.069747, "b": 0.038735, "a": 0.043107, "d": 0.069747}
0.7
false
google/gemma-4-26B-A4B-it
{"e": 0.26221, "c": 0.232491, "b": 0.129118, "a": 0.14369, "d": 0.232491}
false
Apache-2.0
{"source": "AQuA-RAT", "hub_id": "deepmind/aqua_rat", "source_row": 57271}