messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [44, 82, 45, 36, 69, 37, 99, 85, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 36, 37, 44, 45, 69, 82, 85, 99]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 56 = 476.0.\n</reasoning>\nFinal Answer: 476.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 9 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+9) × 43 = 301.0.\n</reasoning>\nFinal Answer: 301.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 47 + 35 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×47=235 and 35×16=560, then add: 795.\n</reasoning>\nFinal Answer: 795"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 487 km apart. Their speeds are 116 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+120=236 km/h. Time = 487/236 = 2.0636 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/11 * 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/11) × (7/11) = (98/121) = 98/121 after simplification.\n</reasoning>\nFinal Answer: 98/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 959 ÷ 142"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 959 by 142. 959 ÷ 142 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (24)x + (64) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×2×64 = 64. √discriminant = 8. x = (-(24) ± 8) / (2×2). Solutions: x = -8 or x = -4.\n</reasoning>\nFinal Answer: x = -8 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 865 km apart. Their speeds are 89 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+107=196 km/h. Time = 865/196 = 4.4133 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 84 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 84 × (1 + 90/100) = 84 × 1.9 = 159.6.\n</reasoning>\nFinal Answer: 159.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 39 = 1755.\n</reasoning>\nFinal Answer: 1755"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 463 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 463 × (1 + 3/100) = 463 × 1.03 = 476.89.\n</reasoning>\nFinal Answer: 476.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 45, 78, 22, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 22 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 14, 22, 82, 76, 75, 64, 96, 18, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 14: 1, 22: 1, 82: 1, 76: 1, 75: 1, 64: 1, 96: 1, 18: 1, 9: 1}. Most frequent: [72, 14, 22, 82, 76, 75, 64, 96, 18, 9].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -32 mod -36"
},
{
"role": "assistant",
"content": "<reasoning>\n-32 mod -36: -32 = -36 × 0 + -32, so remainder = -32.\n</reasoning>\nFinal Answer: -32"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 60 km/h. How far does it travel in 6 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 58/60 = 6.9667 hours. Distance = speed × time = 60 × 6.9667 = 418.0 km.\n</reasoning>\nFinal Answer: 418.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:9 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/9, so B = A × (9/8) = 9 × 9/8 = 10.125.\n</reasoning>\nFinal Answer: 10.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -676 - -760"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -760 from -676: -676 - -760 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 47 + 32 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×47=2209 and 32×2=64, then add: 2273.\n</reasoning>\nFinal Answer: 2273"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/7) ÷ (10/8) = (6/7) × (8/10) = 24/35.\n</reasoning>\nFinal Answer: 24/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 - 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/8 - 10/3. LCD = 24. Result = -35/24.\n</reasoning>\nFinal Answer: -35/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 53, 77, 47, 13, 21, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 53: 1, 77: 1, 47: 1, 13: 1, 21: 1, 22: 1}. Most frequent: [71, 53, 77, 47, 13, 21, 22].\n</reasoning>\nFinal Answer: [71, 53, 77, 47, 13, 21... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 883 - -989"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -989 from 883: 883 - -989 = 1872.\n</reasoning>\nFinal Answer: 1872"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 191 × -130"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 191 by -130: 191 × -130 = -24830.\n</reasoning>\nFinal Answer: -24830"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 7?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 7 = (17/100) × 7 = 1.19.\n</reasoning>\nFinal Answer: 1.19"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 + 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/18 + 19/15. Common denominator = 90. Result = 119/90.\n</reasoning>\nFinal Answer: 119/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+7) = 2×37 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -305 × -324"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -305 by -324: -305 × -324 = 98820.\n</reasoning>\nFinal Answer: 98820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 96 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 47 * 4 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×4=188, then 3+188-10=181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 39 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 20x = -300. Divide by 20: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 78 × -564"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 78 by -564: 78 × -564 = -43992.\n</reasoning>\nFinal Answer: -43992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:5 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/5, so B = A × (5/18) = 8 × 5/18 = 2.2222.\n</reasoning>\nFinal Answer: 2.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 92, 48, 31, 58, 77, 90, 28, 81, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 28, 31, 48, 58, 77, 81, 90, 92, 99]. Middle value(s) → median = 67.5.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹754. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 754 × 28/100 = 211.12. Total = 754 + 211.12 = 965.12.\n</reasoning>\nFinal Answer: 965.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:23 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/23, so B = A × (23/33) = 75 × 23/33 = 52.2727.\n</reasoning>\nFinal Answer: 52.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 657 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 657 × (1 + 80/100) = 657 × 1.8 = 1182.6.\n</reasoning>\nFinal Answer: 1182.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 15, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (40-1)×15 = 17 + 585 = 602.\n</reasoning>\nFinal Answer: 602"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 189 × -217"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 189 by -217: 189 × -217 = -41013.\n</reasoning>\nFinal Answer: -41013"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 10, 18, 33, 54, 53, 34, 29, 19, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 10 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -28 × -986"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -28 by -986: -28 × -986 = 27608.\n</reasoning>\nFinal Answer: 27608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 22) * (40 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+22)=64, (40-33)=7, then 64×7=448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "91 is what percentage of 856?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/856) × 100 = 10.6308%.\n</reasoning>\nFinal Answer: 10.6308%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 44 * 39 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×39=1716, then 47+1716-16=1747.\n</reasoning>\nFinal Answer: 1747"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 41 + 9 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×41=820 and 9×8=72, then add: 892.\n</reasoning>\nFinal Answer: 892"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 * 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/7) × (5/3) = (75/21) = 25/7 after simplification.\n</reasoning>\nFinal Answer: 25/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 21 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 27+441-16=452.\n</reasoning>\nFinal Answer: 452"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 392 + -440"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 392 and -440: 392 + -440 = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 24, 80, 87, 10, 68, 38, 25, 72, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 500/10 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 27 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 27 = 405 worker-days. New time = 405 / 13 = 31.1538 days.\n</reasoning>\nFinal Answer: 31.1538"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 474 km apart. Their speeds are 83 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+68=151 km/h. Time = 474/151 = 3.1391 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 / 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/16) ÷ (19/14) = (16/16) × (14/19) = 14/19.\n</reasoning>\nFinal Answer: 14/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 6 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 11x = 308. Divide by 11: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 112 - 747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 747 from 112: 112 - 747 = -635.\n</reasoning>\nFinal Answer: -635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -28 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 1x = 22. Divide by 1: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 27 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 26x = 52. Divide by 26: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:10 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/10, so B = A × (10/21) = 56 × 10/21 = 26.6667.\n</reasoning>\nFinal Answer: 26.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 35) * (8 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+35)=49, (8-48)=-40, then 49×-40=-1960.\n</reasoning>\nFinal Answer: -1960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -190 mod 945"
},
{
"role": "assistant",
"content": "<reasoning>\n-190 mod 945: -190 = 945 × -1 + 755, so remainder = 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 - 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/11 - 3/12. LCD = 44. Result = 49/44.\n</reasoning>\nFinal Answer: 49/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 43 = -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 18x = -432. Divide by 18: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 49 + 3 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×49=539 and 3×8=24, then add: 563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 / 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/7) ÷ (9/3) = (18/7) × (3/9) = 6/7.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 793 km apart. Their speeds are 59 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+56=115 km/h. Time = 793/115 = 6.8957 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2517. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2517 × 18/100 = 453.06. Total = 2517 + 453.06 = 2970.06.\n</reasoning>\nFinal Answer: 2970.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 82, 45, 24, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 82: 1, 45: 1, 24: 1, 46: 1}. Most frequent: [13, 82, 45, 24, 46].\n</reasoning>\nFinal Answer: [13, 82, 45, 24, 46]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 37 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+37) × 44 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 11, 16, 17, 18] and B = [1, 5, 16, 17, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 11, 19].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 93 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(93,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+14) = 2×33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 283 - -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -725 from 283: 283 - -725 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 - 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/20 - 19/16. LCD = 80. Result = -39/80.\n</reasoning>\nFinal Answer: -39/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 49 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+49) × 44 = 1782.0.\n</reasoning>\nFinal Answer: 1782.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 16 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 11+256-36=231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 7 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 7 = 105 worker-days. New time = 105 / 9 = 11.6667 days.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47536 at 17% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47536 × 17 × 6 / 100 = 48486.72.\n</reasoning>\nFinal Answer: 48486.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 + 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 16/6. Common denominator = 3. Result = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "484 is what percentage of 931?"
},
{
"role": "assistant",
"content": "<reasoning>\n(484/931) × 100 = 51.9871%.\n</reasoning>\nFinal Answer: 51.9871%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 60, 30, 57, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 57, 57, 60, 82]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 435 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 435 × (1 - 60/100) = 435 × 0.4 = 174.0.\n</reasoning>\nFinal Answer: 174.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 355 ÷ 610"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 355 by 610. 355 ÷ 610 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 25 + 12 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×25=25 and 12×13=156, then add: 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -410 - 871"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 871 from -410: -410 - 871 = -1281.\n</reasoning>\nFinal Answer: -1281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 10 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 10 = 120 worker-days. New time = 120 / 16 = 7.5 days.\n</reasoning>\nFinal Answer: 7.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1585. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1585 × 12/100 = 190.2. Total = 1585 + 190.2 = 1775.2.\n</reasoning>\nFinal Answer: 1775.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -366 × -859"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -366 by -859: -366 × -859 = 314394.\n</reasoning>\nFinal Answer: 314394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 23 = 161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 3x = 138. Divide by 3: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+43) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = -78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = -88. Divide by 4: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 11, 15] and B = [1, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 11, 14, 15, 16].\n</reasoning>\nFinal Answer: [1, 11, 14, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -140 mod -747"
},
{
"role": "assistant",
"content": "<reasoning>\n-140 mod -747: -140 = -747 × 0 + -140, so remainder = -140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 25 = -391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 26x = -416. Divide by 26: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -13 = -253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 6x = -240. Divide by 6: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:38 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/38, so B = A × (38/12) = 85 × 38/12 = 269.1667.\n</reasoning>\nFinal Answer: 269.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 * 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/7) × (4/7) = (76/49) = 76/49 after simplification.\n</reasoning>\nFinal Answer: 76/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -462 × -803"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -462 by -803: -462 × -803 = 370986.\n</reasoning>\nFinal Answer: 370986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 77, 36, 13, 72, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 33, 36, 58, 72, 77]. Middle value(s) → median = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -191 mod -64"
},
{
"role": "assistant",
"content": "<reasoning>\n-191 mod -64: -191 = -64 × 2 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/8 - 11/14. LCD = 28. Result = 27/28.\n</reasoning>\nFinal Answer: 27/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 1 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 0/60 = 1.0000 hours. Distance = speed × time = 146 × 1.0000 = 146.0 km.\n</reasoning>\nFinal Answer: 146.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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