messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [42, 35, 22, 39, 27, 68, 83, 100, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 22 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 / 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/20) ÷ (17/9) = (16/20) × (9/17) = 36/85.\n</reasoning>\nFinal Answer: 36/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12463 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12463 × 13 × 1 / 100 = 1620.19.\n</reasoning>\nFinal Answer: 1620.19"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 97, 54, 33, 10, 100, 23, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 492/8 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 207 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 207 × (1 - 7/100) = 207 × 0.9299999999999999 = 192.51.\n</reasoning>\nFinal Answer: 192.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 10 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+98) = 2×165 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 47, 53, 1, 35, 5, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 280/7 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 62 = 5704.\n</reasoning>\nFinal Answer: 5704"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 644 km apart. Their speeds are 74 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+117=191 km/h. Time = 644/191 = 3.3717 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 68 = 2414.0.\n</reasoning>\nFinal Answer: 2414.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 19 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+19) × 12 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 7 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 27/60 = 7.4500 hours. Distance = speed × time = 141 × 7.4500 = 1050.45 km.\n</reasoning>\nFinal Answer: 1050.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 145 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 145 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 694 × 451"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 694 by 451: 694 × 451 = 312994.\n</reasoning>\nFinal Answer: 312994"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -44 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 23x = 46. Divide by 23: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:18 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/18, so B = A × (18/33) = 24 × 18/33 = 13.0909.\n</reasoning>\nFinal Answer: 13.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 100 × 960"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 100 by 960: 100 × 960 = 96000.\n</reasoning>\nFinal Answer: 96000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 78, 58, 50, 69, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [50, 58, 67, 69, 77, 78]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 97, 45, 42, 17, 9, 92, 43, 78, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 2, 97: 1, 45: 1, 42: 1, 17: 1, 9: 1, 43: 1, 78: 1, 99: 1}. Most frequent: 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 830 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 830 × (1 + 90/100) = 830 × 1.9 = 1577.0.\n</reasoning>\nFinal Answer: 1577.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 45% of 953?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 953 = (45/100) × 953 = 428.85.\n</reasoning>\nFinal Answer: 428.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 87 = 826.5.\n</reasoning>\nFinal Answer: 826.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -43 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 1x = 7. Divide by 1: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 722 - -483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -483 from 722: 722 - -483 = 1205.\n</reasoning>\nFinal Answer: 1205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 43 = -533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 16x = -576. Divide by 16: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-6)x + (5) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×1×5 = 16. √discriminant = 4. x = (-(-6) ± 4) / (2×1). Solutions: x = 5 or x = 1.\n</reasoning>\nFinal Answer: x = 5 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 10] and B = [9, 10, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7].\n</reasoning>\nFinal Answer: [1, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -55 mod -717"
},
{
"role": "assistant",
"content": "<reasoning>\n-55 mod -717: -55 = -717 × 0 + -55, so remainder = -55.\n</reasoning>\nFinal Answer: -55"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 93 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 93 × 14 = 651.0.\n</reasoning>\nFinal Answer: 651.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 128 apples and buys 125 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 128 + 125 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 17, 76, 86, 88, 32, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 21, 32, 71, 76, 86, 88]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 36 = -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 28x = -56. Divide by 28: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 63, 68, 33, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 319/5 = 63.8.\n</reasoning>\nFinal Answer: 63.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/4 - 19/1. LCD = 4. Result = -59/4.\n</reasoning>\nFinal Answer: -59/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 20/9. LCD = 45. Result = -64/45.\n</reasoning>\nFinal Answer: -64/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -15 - 811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 811 from -15: -15 - 811 = -826.\n</reasoning>\nFinal Answer: -826"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 28 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+28) × 49 = 1592.5.\n</reasoning>\nFinal Answer: 1592.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+82) = 2×177 = 354.\n</reasoning>\nFinal Answer: 354"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 17] and B = [2, 4, 9, 11, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 6, 7, 9, 11, 13, 17].\n</reasoning>\nFinal Answer: [1, 2, 4, 6, 7, 9, 11, 13, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 18, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (15-1)×18 = 5 + 252 = 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:39 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/39, so B = A × (39/45) = 94 × 39/45 = 81.4667.\n</reasoning>\nFinal Answer: 81.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:14 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/14, so B = A × (14/49) = 6 × 14/49 = 1.7143.\n</reasoning>\nFinal Answer: 1.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 11, 18] and B = [5, 6, 7, 12, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 7, 10, 11, 12, 16, 18].\n</reasoning>\nFinal Answer: [1, 5, 6, 7, 10, 11, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 61 = 610.\n</reasoning>\nFinal Answer: 610"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 6 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+6) × 2 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 1/13. Common denominator = 195. Result = 262/195.\n</reasoning>\nFinal Answer: 262/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44427 at 2% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44427 × 2 × 7 / 100 = 6219.78.\n</reasoning>\nFinal Answer: 6219.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 6 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 16/60 = 6.2667 hours. Distance = speed × time = 87 × 6.2667 = 545.2 km.\n</reasoning>\nFinal Answer: 545.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 51 = 2499.\n</reasoning>\nFinal Answer: 2499"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 38 = -494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 19x = -532. Divide by 19: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 35, 24, 58, 69, 18, 35, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 1, 35: 2, 24: 1, 58: 1, 69: 1, 18: 1, 64: 1}. Most frequent: 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 * 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/10) × (17/16) = (102/160) = 51/80 after simplification.\n</reasoning>\nFinal Answer: 51/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 37 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 39+1369-20=1388.\n</reasoning>\nFinal Answer: 1388"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 4 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/14 = 0.7143.\n</reasoning>\nFinal Answer: 0.7143"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Decrease 831 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 831 × (1 - 35/100) = 831 × 0.65 = 540.15.\n</reasoning>\nFinal Answer: 540.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 543 + -996"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 543 and -996: 543 + -996 = -453.\n</reasoning>\nFinal Answer: -453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 14 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 14 = 238 worker-days. New time = 238 / 18 = 13.2222 days.\n</reasoning>\nFinal Answer: 13.2222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 - 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/11 - 7/19. LCD = 209. Result = 208/209.\n</reasoning>\nFinal Answer: 208/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 14, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (22-1)×14 = 45 + 294 = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹3408. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3408 × 28/100 = 954.24. Total = 3408 + 954.24 = 4362.24.\n</reasoning>\nFinal Answer: 4362.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 131 and 132."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(131,132) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [4, 10, 12, 16, 19] and B = [1, 2, 3, 4, 6, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 467 ÷ 652"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 467 by 652. 467 ÷ 652 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 12 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 30+144-7=167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 159 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 28, 94, 94, 76, 75, 24, 67, 18, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 28: 1, 94: 2, 76: 1, 75: 1, 24: 1, 67: 1, 18: 1, 32: 1}. Most frequent: 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 83, 41, 28, 7, 58, 8, 60, 47, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 83: 1, 41: 1, 28: 1, 7: 1, 58: 1, 8: 1, 60: 1, 47: 1, 92: 1}. Most frequent: [81, 83, 41, 28, 7, 58, 8, 60, 47, 92].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 43 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+43) × 33 = 1320.0.\n</reasoning>\nFinal Answer: 1320.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 45% of 47?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 47 = (45/100) × 47 = 21.15.\n</reasoning>\nFinal Answer: 21.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 120 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 120 × (1 + 100/100) = 120 × 2.0 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/1 - 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/1 - 4/2. LCD = 1. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+68) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -15 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 29x = 551. Divide by 29: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 7 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 29+49-25=53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -28 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 13x = 455. Divide by 13: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 19, 20, 99, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/5 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -119 mod 764"
},
{
"role": "assistant",
"content": "<reasoning>\n-119 mod 764: -119 = 764 × -1 + 645, so remainder = 645.\n</reasoning>\nFinal Answer: 645"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4237. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4237 × 12/100 = 508.44. Total = 4237 + 508.44 = 4745.44.\n</reasoning>\nFinal Answer: 4745.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -3 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 18x = 72. Divide by 18: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 338?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 338 = (25/100) × 338 = 84.5.\n</reasoning>\nFinal Answer: 84.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 15 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 15 = 105 worker-days. New time = 105 / 12 = 8.75 days.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 17 * 16 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×16=272, then 38+272-3=307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 - 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/15 - 7/18. LCD = 90. Result = -23/90.\n</reasoning>\nFinal Answer: -23/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 38) * (8 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+38)=74, (8-40)=-32, then 74×-32=-2368.\n</reasoning>\nFinal Answer: -2368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 825?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 825 = (30/100) × 825 = 247.5.\n</reasoning>\nFinal Answer: 247.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2033. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2033 × 12/100 = 243.96. Total = 2033 + 243.96 = 2276.96.\n</reasoning>\nFinal Answer: 2276.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 11) * (5 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+11)=43, (5-16)=-11, then 43×-11=-473.\n</reasoning>\nFinal Answer: -473"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 76, 78, 81, 65, 94, 73, 41, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 593/9 = 65.8889.\n</reasoning>\nFinal Answer: 65.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 2, 28, 4, 13, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 4, 13, 28, 42, 85]. Middle value(s) → median = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -1 = -217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 27x = -216. Divide by 27: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 27) * (11 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+27)=30, (11-4)=7, then 30×7=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+57) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 494 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 494 × (1 - 90/100) = 494 × 0.09999999999999998 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 85, 39, 32, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 32 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 65, 40, 79, 75, 8, 95, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 65: 1, 40: 1, 79: 1, 75: 1, 8: 1, 95: 1, 53: 1}. Most frequent: [86, 65, 40, 79, 75, 8, 95, 53].\n</reasoning>\nFinal Answer: [86, 65, 40... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 26, 72, 49, 93, 76, 50, 45, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 28, 45, 49, 50, 58, 72, 76, 93]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 + 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/16 + 6/14. Common denominator = 56. Result = 73/56.\n</reasoning>\nFinal Answer: 73/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 - 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/18 - 14/19. LCD = 171. Result = 64/171.\n</reasoning>\nFinal Answer: 64/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 31 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 31 × 71 = 2201.\n</reasoning>\nFinal Answer: 2201"
}
] | easy | [
"geometry",
"area"
] |
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