messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+88) = 2×177 = 354.\n</reasoning>\nFinal Answer: 354"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 45 = 1305.\n</reasoning>\nFinal Answer: 1305"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "9 is what percentage of 76?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/76) × 100 = 11.8421%.\n</reasoning>\nFinal Answer: 11.8421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (10)x + (-28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×2×-28 = 324. √discriminant = 18. x = (-(10) ± 18) / (2×2). Solutions: x = 2 or x = -7.\n</reasoning>\nFinal Answer: x = 2 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -52 - 973"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 973 from -52: -52 - 973 = -1025.\n</reasoning>\nFinal Answer: -1025"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 347 km apart. Their speeds are 58 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+60=118 km/h. Time = 347/118 = 2.9407 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 876 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 876 × (1 - 20/100) = 876 × 0.8 = 700.8.\n</reasoning>\nFinal Answer: 700.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 29 = 1682.\n</reasoning>\nFinal Answer: 1682"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -222 mod 549"
},
{
"role": "assistant",
"content": "<reasoning>\n-222 mod 549: -222 = 549 × -1 + 327, so remainder = 327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 21 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 21 = 231 worker-days. New time = 231 / 6 = 38.5 days.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -491 ÷ -457"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -491 by -457. -491 ÷ -457 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 30 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 30 + 62 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 24 * 33 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×33=792, then 5+792-4=793.\n</reasoning>\nFinal Answer: 793"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -158 × 640"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -158 by 640: -158 × 640 = -101120.\n</reasoning>\nFinal Answer: -101120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 399?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 399 = (45/100) × 399 = 179.55.\n</reasoning>\nFinal Answer: 179.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 49 = -689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 18x = -738. Divide by 18: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 7. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 7² = π × 49 ≈ 153.938.\n</reasoning>\nFinal Answer: 153.938"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 38 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 17+1444-27=1434.\n</reasoning>\nFinal Answer: 1434"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 425 km apart. Their speeds are 77 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+79=156 km/h. Time = 425/156 = 2.7244 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -9 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 4x = -32. Divide by 4: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 21 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 13+441-12=442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 + 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/6 + 5/12. Common denominator = 12. Result = 43/12.\n</reasoning>\nFinal Answer: 43/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-80)x + (315) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -80² - 4×5×315 = 100. √discriminant = 10. x = (-(-80) ± 10) / (2×5). Solutions: x = 9 or x = 7.\n</reasoning>\nFinal Answer: x = 9 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 782 ÷ -558"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 782 by -558. 782 ÷ -558 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 * 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/7) × (8/14) = (160/98) = 80/49 after simplification.\n</reasoning>\nFinal Answer: 80/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 + 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/19 + 1/4. Common denominator = 76. Result = 63/76.\n</reasoning>\nFinal Answer: 63/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:2 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/2, so B = A × (2/41) = 90 × 2/41 = 4.3902.\n</reasoning>\nFinal Answer: 4.3902"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 1) * (45 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+1)=29, (45-26)=19, then 29×19=551.\n</reasoning>\nFinal Answer: 551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+99) = 2×174 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×47)/1 = 846.\n</reasoning>\nFinal Answer: 846"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 166 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(166,24) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 954 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 954 × (1 - 3/100) = 954 × 0.97 = 925.38.\n</reasoning>\nFinal Answer: 925.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 41 km/h. How far does it travel in 7 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 29/60 = 7.4833 hours. Distance = speed × time = 41 × 7.4833 = 306.8167 km.\n</reasoning>\nFinal Answer: 306.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -254 ÷ -733"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -254 by -733. -254 ÷ -733 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 820 mod -844"
},
{
"role": "assistant",
"content": "<reasoning>\n820 mod -844: 820 = -844 × -1 + -24, so remainder = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -967 - -986"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -986 from -967: -967 - -986 = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 798 × 728"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 798 by 728: 798 × 728 = 580944.\n</reasoning>\nFinal Answer: 580944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -4 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 10x = -120. Divide by 10: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -671 - 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 909 from -671: -671 - 909 = -1580.\n</reasoning>\nFinal Answer: -1580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 70% of 308?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 308 = (70/100) × 308 = 215.6.\n</reasoning>\nFinal Answer: 215.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 89, 55, 28, 50, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 22 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 305 km apart. Their speeds are 71 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+86=157 km/h. Time = 305/157 = 1.9427 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 157 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(157,21) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 12 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 17+144-8=153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 274 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 274 × (1 + 35/100) = 274 × 1.35 = 369.9.\n</reasoning>\nFinal Answer: 369.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -588 + -357"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -588 and -357: -588 + -357 = -945.\n</reasoning>\nFinal Answer: -945"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 54, 44, 6, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 54: 1, 44: 1, 6: 1, 86: 1}. Most frequent: [46, 54, 44, 6, 86].\n</reasoning>\nFinal Answer: [46, 54, 44, 6, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 3 * 4 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×4=12, then 1+12-49=-36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -46 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 23x = -598. Divide by 23: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 * 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/13) × (18/17) = (90/221) = 90/221 after simplification.\n</reasoning>\nFinal Answer: 90/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 10, 11] and B = [7, 13, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 10, 11].\n</reasoning>\nFinal Answer: [1, 6, 10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 + 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/6 + 10/14. Common denominator = 7. Result = 19/7.\n</reasoning>\nFinal Answer: 19/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 48 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -91 + -392"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -91 and -392: -91 + -392 = -483.\n</reasoning>\nFinal Answer: -483"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 50 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 30+2500-8=2522.\n</reasoning>\nFinal Answer: 2522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 12, 52, 13, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 239/5 = 47.8.\n</reasoning>\nFinal Answer: 47.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -11 - -595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -595 from -11: -11 - -595 = 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 22, 98, 15, 84, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 22, 23, 84, 84, 98]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 8, 13, 14, 18] and B = [2, 6, 8, 13, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 14].\n</reasoning>\nFinal Answer: [4, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 21 = -627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 24x = -648. Divide by 24: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 158 + -757"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 158 and -757: 158 + -757 = -599.\n</reasoning>\nFinal Answer: -599"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 936 ÷ 394"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 936 by 394. 936 ÷ 394 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 296?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 296 = (35/100) × 296 = 103.6.\n</reasoning>\nFinal Answer: 103.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 408 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 408 × (1 - 15/100) = 408 × 0.85 = 346.8.\n</reasoning>\nFinal Answer: 346.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 16, 20, 92, 25, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 20, 25, 48, 88, 92]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 19 * 21 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×21=399, then 35+399-43=391.\n</reasoning>\nFinal Answer: 391"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 94 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(94,182) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 45 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 5x = 175. Divide by 5: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 3 + 5 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×3=138 and 5×14=70, then add: 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 745 km apart. Their speeds are 91 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+95=186 km/h. Time = 745/186 = 4.0054 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 30) * (9 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+30)=36, (9-48)=-39, then 36×-39=-1404.\n</reasoning>\nFinal Answer: -1404"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -232 + 286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -232 and 286: -232 + 286 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 364 mod -197"
},
{
"role": "assistant",
"content": "<reasoning>\n364 mod -197: 364 = -197 × -2 + -30, so remainder = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 - 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/4 - 5/11. LCD = 11. Result = 50/11.\n</reasoning>\nFinal Answer: 50/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 299 + 734"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 299 and 734: 299 + 734 = 1033.\n</reasoning>\nFinal Answer: 1033"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -384 - -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from -384: -384 - -17 = -367.\n</reasoning>\nFinal Answer: -367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 136 - 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 937 from 136: 136 - 937 = -801.\n</reasoning>\nFinal Answer: -801"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 - 4/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/4 - 4/6. LCD = 12. Result = 25/12.\n</reasoning>\nFinal Answer: 25/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 + 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/3 + 16/17. Common denominator = 51. Result = 65/51.\n</reasoning>\nFinal Answer: 65/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 9 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5060 at 18% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5060 × 18 × 6 / 100 = 5464.8.\n</reasoning>\nFinal Answer: 5464.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 137 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 137 × (1 - 12/100) = 137 × 0.88 = 120.56.\n</reasoning>\nFinal Answer: 120.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 661 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 661 × (1 + 90/100) = 661 × 1.9 = 1255.9.\n</reasoning>\nFinal Answer: 1255.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "88 is what percentage of 452?"
},
{
"role": "assistant",
"content": "<reasoning>\n(88/452) × 100 = 19.469%.\n</reasoning>\nFinal Answer: 19.469%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 995 km apart. Their speeds are 70 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+89=159 km/h. Time = 995/159 = 6.2579 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 25 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+25) × 2 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 19 = 836.0.\n</reasoning>\nFinal Answer: 836.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 651 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 651 × (1 - 100/100) = 651 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (11/11) = (154/88) = 7/4 after simplification.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 23 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 19+529-17=531.\n</reasoning>\nFinal Answer: 531"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 + 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/6 + 1/8. Common denominator = 8. Result = 5/8.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 - 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/11 - 12/18. LCD = 33. Result = -7/33.\n</reasoning>\nFinal Answer: -7/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 3 = -367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 10x = -370. Divide by 10: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 891 - 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 63 from 891: 891 - 63 = 828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 623 ÷ 221"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 623 by 221. 623 ÷ 221 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -6 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 27x = -351. Divide by 27: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 21 = -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 25x = -550. Divide by 25: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -636 mod 527"
},
{
"role": "assistant",
"content": "<reasoning>\n-636 mod 527: -636 = 527 × -2 + 418, so remainder = 418.\n</reasoning>\nFinal Answer: 418"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 + 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/12 + 6/16. Common denominator = 24. Result = 31/24.\n</reasoning>\nFinal Answer: 31/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 7, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (44-1)×7 = 47 + 301 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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