messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 601 + -474"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 601 and -474: 601 + -474 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (9/8) = (14/15) × (8/9) = 112/135.\n</reasoning>\nFinal Answer: 112/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 151 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 151 × (1 + 15/100) = 151 × 1.15 = 173.65.\n</reasoning>\nFinal Answer: 173.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 634 km apart. Their speeds are 50 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+114=164 km/h. Time = 634/164 = 3.8659 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+81) = 2×97 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -645 mod 462"
},
{
"role": "assistant",
"content": "<reasoning>\n-645 mod 462: -645 = 462 × -2 + 279, so remainder = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 66 = 5148.\n</reasoning>\nFinal Answer: 5148"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 158 km/h. How far does it travel in 5 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 32/60 = 5.5333 hours. Distance = speed × time = 158 × 5.5333 = 874.2667 km.\n</reasoning>\nFinal Answer: 874.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:28 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/28, so B = A × (28/42) = 33 × 28/42 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 33, 51, 69, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 18. Next term = 87 + 18 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 43 + 39 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×43=1548 and 39×5=195, then add: 1743.\n</reasoning>\nFinal Answer: 1743"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 43, 72, 95, 16, 70, 70, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 23, 43, 70, 70, 70, 72, 95]. Middle value(s) → median = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 12 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 12 = 180 worker-days. New time = 180 / 11 = 16.3636 days.\n</reasoning>\nFinal Answer: 16.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -30 ÷ 669"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -30 by 669. -30 ÷ 669 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 1, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (27-1)×1 = 22 + 26 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 26 + 19 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×26=182 and 19×44=836, then add: 1018.\n</reasoning>\nFinal Answer: 1018"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 11 = 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 17x = 170. Divide by 17: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -26 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 20x = -20. Divide by 20: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 15 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 47+225-32=240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -151 mod 549"
},
{
"role": "assistant",
"content": "<reasoning>\n-151 mod 549: -151 = 549 × -1 + 398, so remainder = 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -437 mod -965"
},
{
"role": "assistant",
"content": "<reasoning>\n-437 mod -965: -437 = -965 × 0 + -437, so remainder = -437.\n</reasoning>\nFinal Answer: -437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 179 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 179 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 37, 65, 14, 100, 49, 44, 16, 81, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 14, 16, 37, 44, 49, 53, 65, 81, 100]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 35 * 11 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×11=385, then 39+385-8=416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 10, 11, 14, 15] and B = [2, 6, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -40 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 21x = -231. Divide by 21: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 15 * 17 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×17=255, then 30+255-15=270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -627 × 739"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -627 by 739: -627 × 739 = -463353.\n</reasoning>\nFinal Answer: -463353"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2229. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2229 × 18/100 = 401.22. Total = 2229 + 401.22 = 2630.22.\n</reasoning>\nFinal Answer: 2630.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 26, 93, 24, 16, 56, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 16 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 * 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/12) × (7/4) = (49/48) = 49/48 after simplification.\n</reasoning>\nFinal Answer: 49/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 212 km apart. Their speeds are 85 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+73=158 km/h. Time = 212/158 = 1.3418 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 75 = 1350.0.\n</reasoning>\nFinal Answer: 1350.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (12/12) = (5/19) × (12/12) = 5/19.\n</reasoning>\nFinal Answer: 5/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 350 × 67"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 350 by 67: 350 × 67 = 23450.\n</reasoning>\nFinal Answer: 23450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 15/19. LCD = 19. Result = 42/19.\n</reasoning>\nFinal Answer: 42/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:13 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/13, so B = A × (13/24) = 41 × 13/24 = 22.2083.\n</reasoning>\nFinal Answer: 22.2083"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 83 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(83+58) = 2×141 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 343 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 343 × (1 + 30/100) = 343 × 1.3 = 445.9.\n</reasoning>\nFinal Answer: 445.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:7 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/7, so B = A × (7/6) = 4 × 7/6 = 4.6667.\n</reasoning>\nFinal Answer: 4.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 / 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/15) ÷ (19/6) = (3/15) × (6/19) = 6/95.\n</reasoning>\nFinal Answer: 6/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 82, 73, 81, 11, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 400/6 = 66.6667.\n</reasoning>\nFinal Answer: 66.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -999 - -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -762 from -999: -999 - -762 = -237.\n</reasoning>\nFinal Answer: -237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "191 is what percentage of 769?"
},
{
"role": "assistant",
"content": "<reasoning>\n(191/769) × 100 = 24.8375%.\n</reasoning>\nFinal Answer: 24.8375%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 41 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+41) × 30 = 1200.0.\n</reasoning>\nFinal Answer: 1200.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 285 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 285 × (1 - 65/100) = 285 × 0.35 = 99.75.\n</reasoning>\nFinal Answer: 99.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 60% of 630?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 630 = (60/100) × 630 = 378.0.\n</reasoning>\nFinal Answer: 378.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 * 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/8) × (19/1) = (38/8) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -752 - -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -266 from -752: -752 - -266 = -486.\n</reasoning>\nFinal Answer: -486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "570 is what percentage of 702?"
},
{
"role": "assistant",
"content": "<reasoning>\n(570/702) × 100 = 81.1966%.\n</reasoning>\nFinal Answer: 81.1966%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 43 = 3354.\n</reasoning>\nFinal Answer: 3354"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 945 km apart. Their speeds are 109 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+55=164 km/h. Time = 945/164 = 5.7622 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 432 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 432 × (1 + 100/100) = 432 × 2.0 = 864.0.\n</reasoning>\nFinal Answer: 864.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 95 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 52 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 52 × (1 + 20/100) = 52 × 1.2 = 62.4.\n</reasoning>\nFinal Answer: 62.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -988 - 583"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 583 from -988: -988 - 583 = -1571.\n</reasoning>\nFinal Answer: -1571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 854 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 854 × (1 + 100/100) = 854 × 2.0 = 1708.0.\n</reasoning>\nFinal Answer: 1708.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 51."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 51: factors are [1, 3, 17, 51].\n</reasoning>\nFinal Answer: [1, 3, 17, 51]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Ravi has 19 apples and buys 126 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 19 + 126 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 7 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 36+49-7=78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 905 - -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -662 from 905: 905 - -662 = 1567.\n</reasoning>\nFinal Answer: 1567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 20 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:12 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/12, so B = A × (12/31) = 56 × 12/31 = 21.6774.\n</reasoning>\nFinal Answer: 21.6774"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -372 × -381"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -372 by -381: -372 × -381 = 141732.\n</reasoning>\nFinal Answer: 141732"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 808 mod -308"
},
{
"role": "assistant",
"content": "<reasoning>\n808 mod -308: 808 = -308 × -3 + -116, so remainder = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 341 + -712"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 341 and -712: 341 + -712 = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -27 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 2x = -32. Divide by 2: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:39 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/39, so B = A × (39/18) = 7 × 39/18 = 15.1667.\n</reasoning>\nFinal Answer: 15.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -683 - 462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 462 from -683: -683 - 462 = -1145.\n</reasoning>\nFinal Answer: -1145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,136) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 - 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/4 - 10/12. LCD = 6. Result = 25/6.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = 210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = 200. Divide by 4: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -50 = -545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 11x = -495. Divide by 11: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [16, 1, 87, 84, 8, 94, 90, 34, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {16: 1, 1: 1, 87: 1, 84: 1, 8: 1, 94: 1, 90: 1, 34: 1, 22: 1}. Most frequent: [16, 1, 87, 84, 8, 94, 90, 34, 22].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 699 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 699 × (1 - 75/100) = 699 × 0.25 = 174.75.\n</reasoning>\nFinal Answer: 174.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 408 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 408 × (1 - 65/100) = 408 × 0.35 = 142.8.\n</reasoning>\nFinal Answer: 142.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 231 mod -20"
},
{
"role": "assistant",
"content": "<reasoning>\n231 mod -20: 231 = -20 × -12 + -9, so remainder = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 176 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 176 × (1 - 5/100) = 176 × 0.95 = 167.2.\n</reasoning>\nFinal Answer: 167.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3442 at 11% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3442 × 11 × 4 / 100 = 1514.48.\n</reasoning>\nFinal Answer: 1514.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 66 = 6204.\n</reasoning>\nFinal Answer: 6204"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 86, 30, 9, 27, 24, 85, 84, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 9 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 38 + 10 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×38=684 and 10×7=70, then add: 754.\n</reasoning>\nFinal Answer: 754"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:32 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/32, so B = A × (32/48) = 93 × 32/48 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 75, 8, 5, 49, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 5 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 23 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 3+529-2=530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 + 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/16 + 2/9. Common denominator = 144. Result = 113/144.\n</reasoning>\nFinal Answer: 113/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 64, 6, 2, 75, 51, 53, 38, 49, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 6, 24, 38, 49, 51, 53, 64, 65, 75]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×47)/1 = 987.\n</reasoning>\nFinal Answer: 987"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 328 km apart. Their speeds are 47 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+119=166 km/h. Time = 328/166 = 1.9759 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 26, 13, 4, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 197/5 = 39.4.\n</reasoning>\nFinal Answer: 39.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 91 = 1456.\n</reasoning>\nFinal Answer: 1456"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -234 ÷ 788"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -234 by 788. -234 ÷ 788 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 12, 16] and B = [2, 5, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 14, 17, 18] and B = [9, 12, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 5, 8, 14, 17].\n</reasoning>\nFinal Answer: [3, 5, 8, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 350 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 350 × (1 - 12/100) = 350 × 0.88 = 308.0.\n</reasoning>\nFinal Answer: 308.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 15 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 48+225-25=248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 7, 13, 18] and B = [1, 2, 5, 10, 14, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 2, 18].\n</reasoning>\nFinal Answer: [1, 2, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 15 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 31+225-46=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 88, 94, 86, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 7 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -667 - 372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 372 from -667: -667 - 372 = -1039.\n</reasoning>\nFinal Answer: -1039"
}
] | medium | [
"arithmetic",
"computation"
] |
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