messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 7/7 / 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/7) ÷ (11/15) = (7/7) × (15/11) = 15/11.\n</reasoning>\nFinal Answer: 15/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 113 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 113 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 30 = 2490.\n</reasoning>\nFinal Answer: 2490"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 410 + 418"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 410 and 418: 410 + 418 = 828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 27 = -336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 11x = -363. Divide by 11: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:9 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/9, so B = A × (9/12) = 42 × 9/12 = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 9, 10, 11, 15, 16, 17] and B = [1, 3, 4, 5, 9, 10, 11, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [15, 16, 17].\n</reasoning>\nFinal Answer: [15, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 3, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (13-1)×3 = 35 + 36 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 15% of 3?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 3 = (15/100) × 3 = 0.45.\n</reasoning>\nFinal Answer: 0.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 198 × 250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 198 by 250: 198 × 250 = 49500.\n</reasoning>\nFinal Answer: 49500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:50 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/50, so B = A × (50/47) = 22 × 50/47 = 23.4043.\n</reasoning>\nFinal Answer: 23.4043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 629 ÷ -287"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 629 by -287. 629 ÷ -287 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1188. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1188 × 28/100 = 332.64. Total = 1188 + 332.64 = 1520.64.\n</reasoning>\nFinal Answer: 1520.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 196."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,196) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -46 × 651"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -46 by 651: -46 × 651 = -29946.\n</reasoning>\nFinal Answer: -29946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 - 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/18 - 4/14. LCD = 63. Result = 17/63.\n</reasoning>\nFinal Answer: 17/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 28 * 24 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×24=672, then 6+672-35=643.\n</reasoning>\nFinal Answer: 643"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 / 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/11) ÷ (7/12) = (10/11) × (12/7) = 120/77.\n</reasoning>\nFinal Answer: 120/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 332 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 332 × (1 + 10/100) = 332 × 1.1 = 365.2.\n</reasoning>\nFinal Answer: 365.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 12 = -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 10x = -220. Divide by 10: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:18 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/18, so B = A × (18/23) = 15 × 18/23 = 11.7391.\n</reasoning>\nFinal Answer: 11.7391"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -49 = -777"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 26x = -728. Divide by 26: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 645 km apart. Their speeds are 98 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+91=189 km/h. Time = 645/189 = 3.4127 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 31 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 27x = -81. Divide by 27: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -261 mod -659"
},
{
"role": "assistant",
"content": "<reasoning>\n-261 mod -659: -261 = -659 × 0 + -261, so remainder = -261.\n</reasoning>\nFinal Answer: -261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -36 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 16x = 0. Divide by 16: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -909 mod 521"
},
{
"role": "assistant",
"content": "<reasoning>\n-909 mod 521: -909 = 521 × -2 + 133, so remainder = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:12 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/12, so B = A × (12/17) = 75 × 12/17 = 52.9412.\n</reasoning>\nFinal Answer: 52.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 48, 11, 35, 89, 29, 38, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 29, 35, 38, 38, 40, 48, 89]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 500 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 500 × (1 + 15/100) = 500 × 1.15 = 575.0.\n</reasoning>\nFinal Answer: 575.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 12 = -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 14x = -126. Divide by 14: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -37 = 229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 14x = 266. Divide by 14: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 3, 44, 30, 62, 32, 23, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 3 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -32 = -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 28x = -308. Divide by 28: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -94 ÷ -450"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -94 by -450. -94 ÷ -450 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 6/3. LCD = 7. Result = 2/7.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×10)/5 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/8) ÷ (15/15) = (2/8) × (15/15) = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹952. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 952 × 28/100 = 266.56. Total = 952 + 266.56 = 1218.56.\n</reasoning>\nFinal Answer: 1218.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 14 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 14 = 224 worker-days. New time = 224 / 11 = 20.3636 days.\n</reasoning>\nFinal Answer: 20.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 45 = -867"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 24x = -912. Divide by 24: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 30, 13, 11, 91, 35, 25, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 13, 25, 30, 35, 40, 59, 91]. Middle value(s) → median = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 829 ÷ -576"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 829 by -576. 829 ÷ -576 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 7 = 237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 10x = 230. Divide by 10: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×6)/1 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 - 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/11 - 19/13. LCD = 143. Result = -92/143.\n</reasoning>\nFinal Answer: -92/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:36 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/36, so B = A × (36/10) = 71 × 36/10 = 255.6.\n</reasoning>\nFinal Answer: 255.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 59 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(59+7) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 956 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 956 × (1 + 40/100) = 956 × 1.4 = 1338.4.\n</reasoning>\nFinal Answer: 1338.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24526 at 11% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24526 × 11 × 10 / 100 = 26978.6.\n</reasoning>\nFinal Answer: 26978.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -12 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 17x = -255. Divide by 17: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 5, 65, 75, 42, 20, 34, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 5 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 45% of 500?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 500 = (45/100) × 500 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 1, 6, 34, 46, 41, 12, 1, 90, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 1, 6, 12, 34, 41, 46, 71, 71, 90]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-39)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -39² - 4×3×90 = 441. √discriminant = 21. x = (-(-39) ± 21) / (2×3). Solutions: x = 3 or x = 10.\n</reasoning>\nFinal Answer: x = 3 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 41 = 2501.\n</reasoning>\nFinal Answer: 2501"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 163 ÷ -814"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 163 by -814. 163 ÷ -814 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 36) * (5 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+36)=66, (5-12)=-7, then 66×-7=-462.\n</reasoning>\nFinal Answer: -462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 11 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 11 = 187 worker-days. New time = 187 / 16 = 11.6875 days.\n</reasoning>\nFinal Answer: 11.6875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 231 km apart. Their speeds are 75 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+57=132 km/h. Time = 231/132 = 1.75 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 29 * 39 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×39=1131, then 6+1131-13=1124.\n</reasoning>\nFinal Answer: 1124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 603 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from 603: 603 - 18 = 585.\n</reasoning>\nFinal Answer: 585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 60 = 2760.\n</reasoning>\nFinal Answer: 2760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 22 = -272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 21x = -294. Divide by 21: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "344 is what percentage of 352?"
},
{
"role": "assistant",
"content": "<reasoning>\n(344/352) × 100 = 97.7273%.\n</reasoning>\nFinal Answer: 97.7273%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 43 km/h. How far does it travel in 12 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 41/60 = 12.6833 hours. Distance = speed × time = 43 × 12.6833 = 545.3833 km.\n</reasoning>\nFinal Answer: 545.3833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -843 × 414"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -843 by 414: -843 × 414 = -349002.\n</reasoning>\nFinal Answer: -349002"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 824 - 476"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 476 from 824: 824 - 476 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 34, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 34 + 40 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 756 km apart. Their speeds are 62 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+85=147 km/h. Time = 756/147 = 5.1429 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33642 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33642 × 16 × 9 / 100 = 48444.48.\n</reasoning>\nFinal Answer: 48444.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:41 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/41, so B = A × (41/50) = 84 × 41/50 = 68.88.\n</reasoning>\nFinal Answer: 68.88"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 390?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 390 = (17/100) × 390 = 66.3.\n</reasoning>\nFinal Answer: 66.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 29, 67, 26, 20, 48, 35, 56, 66, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 436/10 = 43.6.\n</reasoning>\nFinal Answer: 43.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (10/6) = (180/84) = 15/7 after simplification.\n</reasoning>\nFinal Answer: 15/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 20 = 116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 8x = 96. Divide by 8: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 31 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 2x = 6. Divide by 2: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -519 + 484"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -519 and 484: -519 + 484 = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2913. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2913 × 5/100 = 145.65. Total = 2913 + 145.65 = 3058.65.\n</reasoning>\nFinal Answer: 3058.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -876 + -947"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -876 and -947: -876 + -947 = -1823.\n</reasoning>\nFinal Answer: -1823"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 37 = 3404.\n</reasoning>\nFinal Answer: 3404"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 607 km apart. Their speeds are 102 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+79=181 km/h. Time = 607/181 = 3.3536 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "109 is what percentage of 133?"
},
{
"role": "assistant",
"content": "<reasoning>\n(109/133) × 100 = 81.9549%.\n</reasoning>\nFinal Answer: 81.9549%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 44 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+44) × 29 = 826.5.\n</reasoning>\nFinal Answer: 826.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 152 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 152 + 101 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 59 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 90, 90, 33, 37, 49, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 357/7 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 607 - 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 251 from 607: 607 - 251 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 9 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 36/60 = 9.6000 hours. Distance = speed × time = 186 × 9.6000 = 1785.6 km.\n</reasoning>\nFinal Answer: 1785.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 883 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 883 × (1 + 35/100) = 883 × 1.35 = 1192.05.\n</reasoning>\nFinal Answer: 1192.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 816 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 816 × (1 - 100/100) = 816 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 19, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (22-1)×19 = 22 + 399 = 421.\n</reasoning>\nFinal Answer: 421"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 65% of 131?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 131 = (65/100) × 131 = 85.15.\n</reasoning>\nFinal Answer: 85.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 + 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/7 + 13/12. Common denominator = 84. Result = 211/84.\n</reasoning>\nFinal Answer: 211/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 16, 9, 11, 76, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 9 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 45 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+45) × 12 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 40 + 41 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×40=1320 and 41×33=1353, then add: 2673.\n</reasoning>\nFinal Answer: 2673"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -948 + -75"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -948 and -75: -948 + -75 = -1023.\n</reasoning>\nFinal Answer: -1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -799 × -161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -799 by -161: -799 × -161 = 128639.\n</reasoning>\nFinal Answer: 128639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 7 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 7+49-29=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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