messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 8 + 34 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×8=376 and 34×5=170, then add: 546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 17 = 688.5.\n</reasoning>\nFinal Answer: 688.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4884. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4884 × 18/100 = 879.12. Total = 4884 + 879.12 = 5763.12.\n</reasoning>\nFinal Answer: 5763.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -606 + 384"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -606 and 384: -606 + 384 = -222.\n</reasoning>\nFinal Answer: -222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -53 × -553"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -53 by -553: -53 × -553 = 29309.\n</reasoning>\nFinal Answer: 29309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 71 km/h. How far does it travel in 4 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 36/60 = 4.6000 hours. Distance = speed × time = 71 × 4.6000 = 326.6 km.\n</reasoning>\nFinal Answer: 326.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 439 - -599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -599 from 439: 439 - -599 = 1038.\n</reasoning>\nFinal Answer: 1038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 269 km apart. Their speeds are 81 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+100=181 km/h. Time = 269/181 = 1.4862 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 50 + 46 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×50=600 and 46×3=138, then add: 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 + 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/4 + 7/10. Common denominator = 10. Result = 26/5.\n</reasoning>\nFinal Answer: 26/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -41 = -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 16x = -784. Divide by 16: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -728 - -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -210 from -728: -728 - -210 = -518.\n</reasoning>\nFinal Answer: -518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 2 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 2 × 2 = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 66, 68, 9, 60, 81, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 31 = -1089"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 28x = -1120. Divide by 28: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:26 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/26, so B = A × (26/26) = 50 × 26/26 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -27 = -198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 9x = -171. Divide by 9: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 117 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(117,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 360 ÷ 765"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 360 by 765. 360 ÷ 765 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 43 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(43+100) = 2×143 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 19 * 10 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×10=190, then 17+190-45=162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 2 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 25/60 = 2.4167 hours. Distance = speed × time = 113 × 2.4167 = 273.0833 km.\n</reasoning>\nFinal Answer: 273.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -476 ÷ 520"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -476 by 520. -476 ÷ 520 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 450 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 450 × (1 + 90/100) = 450 × 1.9 = 855.0.\n</reasoning>\nFinal Answer: 855.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 39) * (33 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+39)=66, (33-14)=19, then 66×19=1254.\n</reasoning>\nFinal Answer: 1254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:41 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/41, so B = A × (41/5) = 42 × 41/5 = 344.4.\n</reasoning>\nFinal Answer: 344.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 662 - 991"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 991 from 662: 662 - 991 = -329.\n</reasoning>\nFinal Answer: -329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 26 = 1586.\n</reasoning>\nFinal Answer: 1586"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 18 = 360 worker-days. New time = 360 / 13 = 27.6923 days.\n</reasoning>\nFinal Answer: 27.6923"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -156 mod 593"
},
{
"role": "assistant",
"content": "<reasoning>\n-156 mod 593: -156 = 593 × -1 + 437, so remainder = 437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -874 mod 300"
},
{
"role": "assistant",
"content": "<reasoning>\n-874 mod 300: -874 = 300 × -3 + 26, so remainder = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36855 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36855 × 16 × 9 / 100 = 53071.2.\n</reasoning>\nFinal Answer: 53071.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -139 mod 741"
},
{
"role": "assistant",
"content": "<reasoning>\n-139 mod 741: -139 = 741 × -1 + 602, so remainder = 602.\n</reasoning>\nFinal Answer: 602"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 791 ÷ -429"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 791 by -429. 791 ÷ -429 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 17 = -358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 15x = -375. Divide by 15: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹613. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 613 × 28/100 = 171.64. Total = 613 + 171.64 = 784.64.\n</reasoning>\nFinal Answer: 784.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 23 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 23 = 299 worker-days. New time = 299 / 19 = 15.7368 days.\n</reasoning>\nFinal Answer: 15.7368"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 938 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 = 938/132 = 7.1061 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -25 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 18x = 72. Divide by 18: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -34 = -122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 2x = -88. Divide by 2: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 81 = 4941.\n</reasoning>\nFinal Answer: 4941"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -30 = 234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 11x = 264. Divide by 11: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 31 + 7 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×31=248 and 7×11=77, then add: 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:5 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/5, so B = A × (5/14) = 32 × 5/14 = 11.4286.\n</reasoning>\nFinal Answer: 11.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 178 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 178 + 118 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -381 mod 25"
},
{
"role": "assistant",
"content": "<reasoning>\n-381 mod 25: -381 = 25 × -16 + 19, so remainder = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 152 = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 18 = 144 worker-days. New time = 144 / 13 = 11.0769 days.\n</reasoning>\nFinal Answer: 11.0769"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -328 - 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 616 from -328: -328 - 616 = -944.\n</reasoning>\nFinal Answer: -944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 50 = 1450.\n</reasoning>\nFinal Answer: 1450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 / 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/11) ÷ (11/6) = (16/11) × (6/11) = 96/121.\n</reasoning>\nFinal Answer: 96/121"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 10, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (23-1)×10 = 19 + 220 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 46, 81, 3, 92, 99, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/7 = 58.4286.\n</reasoning>\nFinal Answer: 58.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (6/14) = (13/10) × (14/6) = 91/30.\n</reasoning>\nFinal Answer: 91/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 936 km apart. Their speeds are 78 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+43=121 km/h. Time = 936/121 = 7.7355 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 27, 26, 88, 80, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 26, 27, 80, 85, 88]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4069. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4069 × 12/100 = 488.28. Total = 4069 + 488.28 = 4557.28.\n</reasoning>\nFinal Answer: 4557.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 / 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/18) ÷ (4/2) = (14/18) × (2/4) = 7/18.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 223 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 223 × (1 + 100/100) = 223 × 2.0 = 446.0.\n</reasoning>\nFinal Answer: 446.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 30 * 16 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×16=480, then 43+480-16=507.\n</reasoning>\nFinal Answer: 507"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+57) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 99 = 8910.\n</reasoning>\nFinal Answer: 8910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:19 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/19, so B = A × (19/19) = 17 × 19/19 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 * 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/11) × (2/12) = (34/132) = 17/66 after simplification.\n</reasoning>\nFinal Answer: 17/66"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 45 = 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 13x = 364. Divide by 13: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -391 mod 338"
},
{
"role": "assistant",
"content": "<reasoning>\n-391 mod 338: -391 = 338 × -2 + 285, so remainder = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 979 + 123"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 979 and 123: 979 + 123 = 1102.\n</reasoning>\nFinal Answer: 1102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -34 mod -16"
},
{
"role": "assistant",
"content": "<reasoning>\n-34 mod -16: -34 = -16 × 2 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 9, 11, 14, 16, 18] and B = [4, 7, 12, 13, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 9, 11, 14].\n</reasoning>\nFinal Answer: [1, 6, 9, 11, 14]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 567 mod 817"
},
{
"role": "assistant",
"content": "<reasoning>\n567 mod 817: 567 = 817 × 0 + 567, so remainder = 567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -123 - -584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -584 from -123: -123 - -584 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 70, 6, 55, 55, 96, 91, 65, 97, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 6 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 81, 93, 85, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 53, 81, 85, 93]. Middle value(s) → median = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 35 = 385.0.\n</reasoning>\nFinal Answer: 385.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28152 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28152 × 17 × 4 / 100 = 19143.36.\n</reasoning>\nFinal Answer: 19143.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -23 = -683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 15x = -660. Divide by 15: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (11/1) = (8/10) × (1/11) = 4/55.\n</reasoning>\nFinal Answer: 4/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 892 × 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 892 by 33: 892 × 33 = 29436.\n</reasoning>\nFinal Answer: 29436"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 7, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (18-1)×7 = 15 + 119 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 14) * (24 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+14)=55, (24-32)=-8, then 55×-8=-440.\n</reasoning>\nFinal Answer: -440"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -406 - -268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -268 from -406: -406 - -268 = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -37 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 23x = 23. Divide by 23: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -187 ÷ -233"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -187 by -233. -187 ÷ -233 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 10, 15, 16, 19] and B = [1, 8, 9, 11, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 10, 15, 16].\n</reasoning>\nFinal Answer: [4, 6, 10, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:36 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/36, so B = A × (36/2) = 19 × 36/2 = 342.0.\n</reasoning>\nFinal Answer: 342.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 32 = 773"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 19x = 741. Divide by 19: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35965 at 2% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35965 × 2 × 4 / 100 = 2877.2.\n</reasoning>\nFinal Answer: 2877.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 81 = 1093.5.\n</reasoning>\nFinal Answer: 1093.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 3 = -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 7x = -315. Divide by 7: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -445 × -511"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -445 by -511: -445 × -511 = 227395.\n</reasoning>\nFinal Answer: 227395"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 25 = -650"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 27x = -675. Divide by 27: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -429 - 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 162 from -429: -429 - 162 = -591.\n</reasoning>\nFinal Answer: -591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 38 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 7x = 35. Divide by 7: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 123 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 123 × (1 - 100/100) = 123 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 4 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 4 × 59 = 118.0.\n</reasoning>\nFinal Answer: 118.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4182. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4182 × 28/100 = 1170.96. Total = 4182 + 1170.96 = 5352.96.\n</reasoning>\nFinal Answer: 5352.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 10 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 10 = 110 worker-days. New time = 110 / 20 = 5.5 days.\n</reasoning>\nFinal Answer: 5.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 7 * 16 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×16=112, then 1+112-26=87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 961 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 961 × (1 - 30/100) = 961 × 0.7 = 672.7.\n</reasoning>\nFinal Answer: 672.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 41 = 461"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 15x = 420. Divide by 15: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.