messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 14 * 5 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×5=70, then 33+70-31=72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 574 + -594"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 574 and -594: 574 + -594 = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 91, 72, 33, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 316/5 = 63.2.\n</reasoning>\nFinal Answer: 63.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 11, 17, 18] and B = [5, 6, 7, 9, 12, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 11, 17].\n</reasoning>\nFinal Answer: [3, 4, 11, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:24 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/24, so B = A × (24/27) = 74 × 24/27 = 65.7778.\n</reasoning>\nFinal Answer: 65.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 33, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 33 + 36 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -887 ÷ 656"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -887 by 656. -887 ÷ 656 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 188 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 188 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 1 + 22 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×1=2 and 22×48=1056, then add: 1058.\n</reasoning>\nFinal Answer: 1058"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 214 × 202"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 214 by 202: 214 × 202 = 43228.\n</reasoning>\nFinal Answer: 43228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -30 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 18x = -90. Divide by 18: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+11) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [62, 6, 25, 41, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {62: 1, 6: 1, 25: 1, 41: 1, 16: 1}. Most frequent: [62, 6, 25, 41, 16].\n</reasoning>\nFinal Answer: [62, 6, 25, 41, 16]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 778 - -222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -222 from 778: 778 - -222 = 1000.\n</reasoning>\nFinal Answer: 1000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11] and B = [8, 10, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 8, 9, 10].\n</reasoning>\nFinal Answer: [2, 8, 9, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32383 at 19% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32383 × 19 × 4 / 100 = 24611.08.\n</reasoning>\nFinal Answer: 24611.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "470 is what percentage of 563?"
},
{
"role": "assistant",
"content": "<reasoning>\n(470/563) × 100 = 83.4813%.\n</reasoning>\nFinal Answer: 83.4813%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹3263. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3263 × 12/100 = 391.56. Total = 3263 + 391.56 = 3654.56.\n</reasoning>\nFinal Answer: 3654.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 22 = -629"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 21x = -651. Divide by 21: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 19 = -597"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 14x = -616. Divide by 14: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 911 ÷ -348"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 911 by -348. 911 ÷ -348 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 36, 13, 98, 61, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 36, 61, 97, 98, 100]. Middle value(s) → median = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2951 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2951 × 10 × 1 / 100 = 295.1.\n</reasoning>\nFinal Answer: 295.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 18, 98, 56, 7, 75, 96, 56, 11, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 18: 2, 98: 1, 56: 2, 7: 1, 75: 1, 96: 1, 11: 1}. Most frequent: [18, 56].\n</reasoning>\nFinal Answer: [18, 56]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 10, 13] and B = [10, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2].\n</reasoning>\nFinal Answer: [1, 2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 869 km apart. Their speeds are 86 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+118=204 km/h. Time = 869/204 = 4.2598 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -46 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 5x = -65. Divide by 5: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 8, 18] and B = [1, 2, 9, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 8, 9, 13, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 8, 9, 13, 17, 18]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 50) * (1 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+50)=97, (1-6)=-5, then 97×-5=-485.\n</reasoning>\nFinal Answer: -485"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 70% of 684?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 684 = (70/100) × 684 = 478.8.\n</reasoning>\nFinal Answer: 478.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -634 - 246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 246 from -634: -634 - 246 = -880.\n</reasoning>\nFinal Answer: -880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 501?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 501 = (45/100) × 501 = 225.45.\n</reasoning>\nFinal Answer: 225.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 27 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 27 = 81 worker-days. New time = 81 / 20 = 4.05 days.\n</reasoning>\nFinal Answer: 4.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 23 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 23 = 414 worker-days. New time = 414 / 5 = 82.8 days.\n</reasoning>\nFinal Answer: 82.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 5 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 38/60 = 5.6333 hours. Distance = speed × time = 166 × 5.6333 = 935.1333 km.\n</reasoning>\nFinal Answer: 935.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 25 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 7+625-35=597.\n</reasoning>\nFinal Answer: 597"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 36 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -734 mod -780"
},
{
"role": "assistant",
"content": "<reasoning>\n-734 mod -780: -734 = -780 × 0 + -734, so remainder = -734.\n</reasoning>\nFinal Answer: -734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "248 is what percentage of 614?"
},
{
"role": "assistant",
"content": "<reasoning>\n(248/614) × 100 = 40.3909%.\n</reasoning>\nFinal Answer: 40.3909%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 20 + 11 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×20=320 and 11×24=264, then add: 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 35) * (48 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+35)=75, (48-50)=-2, then 75×-2=-150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 68, 9, 35, 29, 99, 9, 29, 13, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/10 = 44.3.\n</reasoning>\nFinal Answer: 44.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 4 + 47 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×4=56 and 47×28=1316, then add: 1372.\n</reasoning>\nFinal Answer: 1372"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 14) * (33 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+14)=31, (33-30)=3, then 31×3=93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 8 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 8 = 80 worker-days. New time = 80 / 17 = 4.7059 days.\n</reasoning>\nFinal Answer: 4.7059"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 17 - 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 186 from 17: 17 - 186 = -169.\n</reasoning>\nFinal Answer: -169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -753 ÷ 754"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -753 by 754. -753 ÷ 754 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -169 + 584"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -169 and 584: -169 + 584 = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 38 = 646.0.\n</reasoning>\nFinal Answer: 646.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -411 mod 319"
},
{
"role": "assistant",
"content": "<reasoning>\n-411 mod 319: -411 = 319 × -2 + 227, so remainder = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 4 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 33+16-14=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 43 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(43+46) = 2×89 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 * 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/12) × (4/15) = (76/180) = 19/45 after simplification.\n</reasoning>\nFinal Answer: 19/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 72."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,72) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/20 + 17/14. Common denominator = 70. Result = 113/70.\n</reasoning>\nFinal Answer: 113/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 672 × 535"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 672 by 535: 672 × 535 = 359520.\n</reasoning>\nFinal Answer: 359520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 3 + 36 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×3=27 and 36×17=612, then add: 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 271 × 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 271 by 20: 271 × 20 = 5420.\n</reasoning>\nFinal Answer: 5420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -35 = 485"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 13x = 520. Divide by 13: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 19, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (16-1)×19 = 49 + 285 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -864 mod 25"
},
{
"role": "assistant",
"content": "<reasoning>\n-864 mod 25: -864 = 25 × -35 + 11, so remainder = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 37 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+37) × 29 = 623.5.\n</reasoning>\nFinal Answer: 623.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 88 km/h. How far does it travel in 1 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 38/60 = 1.6333 hours. Distance = speed × time = 88 × 1.6333 = 143.7333 km.\n</reasoning>\nFinal Answer: 143.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "314 is what percentage of 487?"
},
{
"role": "assistant",
"content": "<reasoning>\n(314/487) × 100 = 64.4764%.\n</reasoning>\nFinal Answer: 64.4764%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 94, 11, 62, 87, 75, 83, 54, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 536/9 = 59.5556.\n</reasoning>\nFinal Answer: 59.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3017 at 7% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3017 × 7 × 5 / 100 = 1055.95.\n</reasoning>\nFinal Answer: 1055.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:47 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/47, so B = A × (47/36) = 74 × 47/36 = 96.6111.\n</reasoning>\nFinal Answer: 96.6111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 46 * 46 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×46=2116, then 40+2116-35=2121.\n</reasoning>\nFinal Answer: 2121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -696 + -713"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -696 and -713: -696 + -713 = -1409.\n</reasoning>\nFinal Answer: -1409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -11 ÷ -511"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -11 by -511. -11 ÷ -511 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 460 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 460 × (1 - 45/100) = 460 × 0.55 = 253.0.\n</reasoning>\nFinal Answer: 253.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 741 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 741 × (1 + 30/100) = 741 × 1.3 = 963.3.\n</reasoning>\nFinal Answer: 963.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 19 = 1369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 30x = 1350. Divide by 30: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45488 at 3% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45488 × 3 × 10 / 100 = 13646.4.\n</reasoning>\nFinal Answer: 13646.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 105."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,105) = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 21, 59, 90, 23, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 246/6 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 188 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 188 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:28 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/28, so B = A × (28/43) = 49 × 28/43 = 31.907.\n</reasoning>\nFinal Answer: 31.907"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -175 mod -725"
},
{
"role": "assistant",
"content": "<reasoning>\n-175 mod -725: -175 = -725 × 0 + -175, so remainder = -175.\n</reasoning>\nFinal Answer: -175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 716 × 658"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 716 by 658: 716 × 658 = 471128.\n</reasoning>\nFinal Answer: 471128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -955 mod -246"
},
{
"role": "assistant",
"content": "<reasoning>\n-955 mod -246: -955 = -246 × 3 + -217, so remainder = -217.\n</reasoning>\nFinal Answer: -217"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:44 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/44, so B = A × (44/10) = 53 × 44/10 = 233.2.\n</reasoning>\nFinal Answer: 233.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 230 × 948"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 230 by 948: 230 × 948 = 218040.\n</reasoning>\nFinal Answer: 218040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 7, 11, 14, 15] and B = [8, 9, 11, 14, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 7, 8, 9, 17].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 13 = 153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 5x = 140. Divide by 5: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 309 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 309 × (1 + 3/100) = 309 × 1.03 = 318.27.\n</reasoning>\nFinal Answer: 318.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -427 - 423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 423 from -427: -427 - 423 = -850.\n</reasoning>\nFinal Answer: -850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 10 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 10 = 120 worker-days. New time = 120 / 17 = 7.0588 days.\n</reasoning>\nFinal Answer: 7.0588"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -899 mod -297"
},
{
"role": "assistant",
"content": "<reasoning>\n-899 mod -297: -899 = -297 × 3 + -8, so remainder = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -38 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 4x = 84. Divide by 4: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 14, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 14 + 23 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -20 = -44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 2x = -24. Divide by 2: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 1 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 22+1-8=15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 6, 7, 8, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 1. Next term = 9 + 1 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 27 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 22x = 0. Divide by 22: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 32 * 44 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×44=1408, then 46+1408-4=1450.\n</reasoning>\nFinal Answer: 1450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 17% of 635?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 635 = (17/100) × 635 = 107.95.\n</reasoning>\nFinal Answer: 107.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 1, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (22-1)×1 = 48 + 21 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:34 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/34, so B = A × (34/33) = 57 × 34/33 = 58.7273.\n</reasoning>\nFinal Answer: 58.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:48 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/48, so B = A × (48/27) = 75 × 48/27 = 133.3333.\n</reasoning>\nFinal Answer: 133.3333"
}
] | medium | [
"ratio",
"proportion"
] |
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