messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 15% of 759?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 759 = (15/100) × 759 = 113.85.\n</reasoning>\nFinal Answer: 113.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:36 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/36, so B = A × (36/34) = 33 × 36/34 = 34.9412.\n</reasoning>\nFinal Answer: 34.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 31 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+31) × 45 = 787.5.\n</reasoning>\nFinal Answer: 787.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 20 = 848"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 23x = 828. Divide by 23: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 20) * (29 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+20)=57, (29-32)=-3, then 57×-3=-171.\n</reasoning>\nFinal Answer: -171"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 9 + 50 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×9=405 and 50×7=350, then add: 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 7, 12, 13, 16, 19] and B = [1, 2, 4, 5, 9, 12, 15, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 5, 6, 7, 9, 13, 15, 19].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 41 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 21+1681-48=1654.\n</reasoning>\nFinal Answer: 1654"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 416 ÷ -132"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 416 by -132. 416 ÷ -132 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 6) * (9 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+6)=35, (9-24)=-15, then 35×-15=-525.\n</reasoning>\nFinal Answer: -525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 6 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 17/60 = 6.2833 hours. Distance = speed × time = 98 × 6.2833 = 615.7667 km.\n</reasoning>\nFinal Answer: 615.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -127 - 204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 204 from -127: -127 - 204 = -331.\n</reasoning>\nFinal Answer: -331"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 48 = 4128.\n</reasoning>\nFinal Answer: 4128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 37, 41, 45, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 4. Next term = 49 + 4 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 284 × -948"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 284 by -948: 284 × -948 = -269232.\n</reasoning>\nFinal Answer: -269232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 * 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/15) × (19/11) = (133/165) = 133/165 after simplification.\n</reasoning>\nFinal Answer: 133/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46936 at 5% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46936 × 5 × 6 / 100 = 14080.8.\n</reasoning>\nFinal Answer: 14080.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 975 km apart. Their speeds are 113 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+102=215 km/h. Time = 975/215 = 4.5349 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 75 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 75 × (1 - 30/100) = 75 × 0.7 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (1/7) = (11/70) = 11/70 after simplification.\n</reasoning>\nFinal Answer: 11/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 29 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 6+841-47=800.\n</reasoning>\nFinal Answer: 800"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 34, 87, 89, 57, 96, 23, 51, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 621/9 = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -50 = -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 11x = -462. Divide by 11: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 717 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 717 × (1 - 3/100) = 717 × 0.97 = 695.49.\n</reasoning>\nFinal Answer: 695.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 148 mod 673"
},
{
"role": "assistant",
"content": "<reasoning>\n148 mod 673: 148 = 673 × 0 + 148, so remainder = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 / 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/17) ÷ (19/12) = (10/17) × (12/19) = 120/323.\n</reasoning>\nFinal Answer: 120/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 26, 72, 52, 12, 54, 59, 53, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 26, 29, 49, 52, 53, 54, 59, 72]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/10 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "An item costs ₹1504. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1504 × 18/100 = 270.72. Total = 1504 + 270.72 = 1774.72.\n</reasoning>\nFinal Answer: 1774.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 959 - 429"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 429 from 959: 959 - 429 = 530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 176 - 668"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 668 from 176: 176 - 668 = -492.\n</reasoning>\nFinal Answer: -492"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 40 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+40) × 8 = 200.0.\n</reasoning>\nFinal Answer: 200.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 * 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/5) × (2/19) = (18/95) = 18/95 after simplification.\n</reasoning>\nFinal Answer: 18/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 45 = 349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 16x = 304. Divide by 16: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 39 + 23 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×39=1326 and 23×44=1012, then add: 2338.\n</reasoning>\nFinal Answer: 2338"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 98 = 3430.\n</reasoning>\nFinal Answer: 3430"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -811 × 502"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -811 by 502: -811 × 502 = -407122.\n</reasoning>\nFinal Answer: -407122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 9 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(9+48) = 2×57 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 45 = 3915.\n</reasoning>\nFinal Answer: 3915"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -889 - 348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 348 from -889: -889 - 348 = -1237.\n</reasoning>\nFinal Answer: -1237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 / 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/15) ÷ (6/7) = (17/15) × (7/6) = 119/90.\n</reasoning>\nFinal Answer: 119/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -932 mod -110"
},
{
"role": "assistant",
"content": "<reasoning>\n-932 mod -110: -932 = -110 × 8 + -52, so remainder = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 378 km apart. Their speeds are 41 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+109=150 km/h. Time = 378/150 = 2.52 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -48 = -528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 15x = -480. Divide by 15: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 20 ÷ -535"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 20 by -535. 20 ÷ -535 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 19, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (28-1)×19 = 17 + 513 = 530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:12 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/12, so B = A × (12/12) = 79 × 12/12 = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 36 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 6x = -300. Divide by 6: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 56 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 56 × 2 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 39 = 237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 11x = 198. Divide by 11: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -20 = -545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 15x = -525. Divide by 15: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 76, 84, 14, 57, 65, 5, 11, 72, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 482/10 = 48.2.\n</reasoning>\nFinal Answer: 48.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -49 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 21x = 231. Divide by 21: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -941 × 74"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -941 by 74: -941 × 74 = -69634.\n</reasoning>\nFinal Answer: -69634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -25 = -228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 29x = -203. Divide by 29: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 52, 34, 77, 64, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 46, 52, 64, 77, 99]. Middle value(s) → median = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-9)x + (-162) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×3×-162 = 2025. √discriminant = 45. x = (-(-9) ± 45) / (2×3). Solutions: x = -6 or x = 9.\n</reasoning>\nFinal Answer: x = -6 or x = 9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 3, 83, 6, 98, 96, 52, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 6, 22, 52, 69, 83, 96, 98]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:47 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/47, so B = A × (47/28) = 41 × 47/28 = 68.8214.\n</reasoning>\nFinal Answer: 68.8214"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -1 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 2x = -24. Divide by 2: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (15/9) = (150/135) = 10/9 after simplification.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:20 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/20, so B = A × (20/38) = 28 × 20/38 = 14.7368.\n</reasoning>\nFinal Answer: 14.7368"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -925 - -720"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -720 from -925: -925 - -720 = -205.\n</reasoning>\nFinal Answer: -205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -621 - 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 909 from -621: -621 - 909 = -1530.\n</reasoning>\nFinal Answer: -1530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -836 - -415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -415 from -836: -836 - -415 = -421.\n</reasoning>\nFinal Answer: -421"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 319 mod 481"
},
{
"role": "assistant",
"content": "<reasoning>\n319 mod 481: 319 = 481 × 0 + 319, so remainder = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "287 is what percentage of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n(287/488) × 100 = 58.8115%.\n</reasoning>\nFinal Answer: 58.8115%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 22 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 22 = 88 worker-days. New time = 88 / 7 = 12.5714 days.\n</reasoning>\nFinal Answer: 12.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 20 = 1800.\n</reasoning>\nFinal Answer: 1800"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 62, 1, 96, 68, 86, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 379/7 = 54.1429.\n</reasoning>\nFinal Answer: 54.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 9, 35, 82, 81, 62, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 9 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -20 = -1004"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 24x = -984. Divide by 24: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -32 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 9x = 81. Divide by 9: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 100, 97, 63, 82, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 453/6 = 75.5.\n</reasoning>\nFinal Answer: 75.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 23 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 45+529-10=564.\n</reasoning>\nFinal Answer: 564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 - 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/14 - 14/20. LCD = 70. Result = 8/35.\n</reasoning>\nFinal Answer: 8/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 279 km apart. Their speeds are 68 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+82=150 km/h. Time = 279/150 = 1.86 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 4 = 82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 3x = 78. Divide by 3: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×24)/6 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 11, 12, 15, 16, 18, 19] and B = [8, 9, 10], 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 = [4, 5, 8, 12, 13, 14, 19] and B = [4, 6, 12, 13, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8, 14, 19].\n</reasoning>\nFinal Answer: [5, 8, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:20 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/20, so B = A × (20/11) = 54 × 20/11 = 98.1818.\n</reasoning>\nFinal Answer: 98.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:30 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/30, so B = A × (30/49) = 75 × 30/49 = 45.9184.\n</reasoning>\nFinal Answer: 45.9184"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 46 = 989.0.\n</reasoning>\nFinal Answer: 989.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 16 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 50+256-47=259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -2 = -324"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 7x = -322. Divide by 7: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 680 ÷ 478"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 680 by 478. 680 ÷ 478 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 100, 27, 92, 36, 86, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 100: 1, 27: 1, 92: 1, 36: 1, 86: 1, 98: 1}. Most frequent: [94, 100, 27, 92, 36, 86, 98].\n</reasoning>\nFinal Answer: [94, 100, 27, 92, 36... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45203 at 1% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45203 × 1 × 1 / 100 = 452.03.\n</reasoning>\nFinal Answer: 452.03"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 11 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n11 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 13, 14, 15, 17, 19] and B = [2, 3, 4, 5, 7, 13, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 5, 7, 8, 9, 15, 16, 17, 19].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -360 + 254"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -360 and 254: -360 + 254 = -106.\n</reasoning>\nFinal Answer: -106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:6 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/6, so B = A × (6/47) = 63 × 6/47 = 8.0426.\n</reasoning>\nFinal Answer: 8.0426"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 688 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 688 × (1 + 50/100) = 688 × 1.5 = 1032.0.\n</reasoning>\nFinal Answer: 1032.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 34 + 15 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×34=1020 and 15×13=195, then add: 1215.\n</reasoning>\nFinal Answer: 1215"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -6 = 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 3x = 12. Divide by 3: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -36 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 8x = 32. Divide by 8: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (45-1)×10 = 18 + 440 = 458.\n</reasoning>\nFinal Answer: 458"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 12% of 516?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 516 = (12/100) × 516 = 61.92.\n</reasoning>\nFinal Answer: 61.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25326 at 12% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25326 × 12 × 7 / 100 = 21273.84.\n</reasoning>\nFinal Answer: 21273.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
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