messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 4 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 4 + 8 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 + 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/13 + 15/5. Common denominator = 13. Result = 44/13.\n</reasoning>\nFinal Answer: 44/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 50 = 425.0.\n</reasoning>\nFinal Answer: 425.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 20 = 410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 10x = 390. Divide by 10: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:39 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/39, so B = A × (39/3) = 54 × 39/3 = 702.0.\n</reasoning>\nFinal Answer: 702.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/16 + 1/7. Common denominator = 56. Result = 71/56.\n</reasoning>\nFinal Answer: 71/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:37 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/37, so B = A × (37/6) = 8 × 37/6 = 49.3333.\n</reasoning>\nFinal Answer: 49.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 19 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+19) × 30 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33699 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33699 × 15 × 7 / 100 = 35383.95.\n</reasoning>\nFinal Answer: 35383.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26562 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26562 × 1 × 2 / 100 = 531.24.\n</reasoning>\nFinal Answer: 531.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 22 = 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 20x = 860. Divide by 20: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 536 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 536 × (1 + 50/100) = 536 × 1.5 = 804.0.\n</reasoning>\nFinal Answer: 804.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 * 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/14) × (12/11) = (24/154) = 12/77 after simplification.\n</reasoning>\nFinal Answer: 12/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 11 = -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 17x = -459. Divide by 17: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -3 = -896"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 19x = -893. Divide by 19: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/13 - 6/15. LCD = 65. Result = 44/65.\n</reasoning>\nFinal Answer: 44/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 19 * 23 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×23=437, then 36+437-17=456.\n</reasoning>\nFinal Answer: 456"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 23) * (29 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+23)=24, (29-6)=23, then 24×23=552.\n</reasoning>\nFinal Answer: 552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 44, 99, 14, 69, 57, 22, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 12 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "253 is what percentage of 639?"
},
{
"role": "assistant",
"content": "<reasoning>\n(253/639) × 100 = 39.5931%.\n</reasoning>\nFinal Answer: 39.5931%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 53 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 53 × 43 = 2279.\n</reasoning>\nFinal Answer: 2279"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×0 = 4. √discriminant = 2. x = (-(-2) ± 2) / (2×1). Solutions: x = 0 or x = 2.\n</reasoning>\nFinal Answer: x = 0 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹2325. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2325 × 28/100 = 651.0. Total = 2325 + 651.0 = 2976.0.\n</reasoning>\nFinal Answer: 2976.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:14 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/14, so B = A × (14/8) = 84 × 14/8 = 147.0.\n</reasoning>\nFinal Answer: 147.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -808 ÷ -942"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -808 by -942. -808 ÷ -942 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 99 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 99 + 144 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+76) = 2×173 = 346.\n</reasoning>\nFinal Answer: 346"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 28 * 29 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×29=812, then 9+812-4=817.\n</reasoning>\nFinal Answer: 817"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -271 + -94"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -271 and -94: -271 + -94 = -365.\n</reasoning>\nFinal Answer: -365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 17 * 3 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×3=51, then 2+51-26=27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11518 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11518 × 18 × 1 / 100 = 2073.24.\n</reasoning>\nFinal Answer: 2073.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 242 - -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -185 from 242: 242 - -185 = 427.\n</reasoning>\nFinal Answer: 427"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "55 is what percentage of 577?"
},
{
"role": "assistant",
"content": "<reasoning>\n(55/577) × 100 = 9.5321%.\n</reasoning>\nFinal Answer: 9.5321%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 35) * (22 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+35)=67, (22-41)=-19, then 67×-19=-1273.\n</reasoning>\nFinal Answer: -1273"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 322 - 414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 414 from 322: 322 - 414 = -92.\n</reasoning>\nFinal Answer: -92"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 15, 18] and B = [4, 6, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 11, 15, 17, 18].\n</reasoning>\nFinal Answer: [4, 5, 6, 11, 15, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 5, 31, 39, 32, 96, 83, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 379/8 = 47.375.\n</reasoning>\nFinal Answer: 47.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 17 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+17) × 9 = 288.0.\n</reasoning>\nFinal Answer: 288.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 46 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(46+99) = 2×145 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 498 - 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 467 from 498: 498 - 467 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1500. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1500 × 12/100 = 180.0. Total = 1500 + 180.0 = 1680.0.\n</reasoning>\nFinal Answer: 1680.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1572. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1572 × 28/100 = 440.16. Total = 1572 + 440.16 = 2012.16.\n</reasoning>\nFinal Answer: 2012.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "95 is what percentage of 193?"
},
{
"role": "assistant",
"content": "<reasoning>\n(95/193) × 100 = 49.2228%.\n</reasoning>\nFinal Answer: 49.2228%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 91 = 8918.\n</reasoning>\nFinal Answer: 8918"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "9 is what percentage of 20?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/20) × 100 = 45.0%.\n</reasoning>\nFinal Answer: 45.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 7% of 612?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 612 = (7/100) × 612 = 42.84.\n</reasoning>\nFinal Answer: 42.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 22 = 103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 18, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (48-1)×18 = 24 + 846 = 870.\n</reasoning>\nFinal Answer: 870"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 42, 85, 48, 16, 35, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 16 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 45 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 2x = 100. Divide by 2: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "452 is what percentage of 470?"
},
{
"role": "assistant",
"content": "<reasoning>\n(452/470) × 100 = 96.1702%.\n</reasoning>\nFinal Answer: 96.1702%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 36, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 36 + 39 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:33 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/33, so B = A × (33/4) = 7 × 33/4 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 8 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 24/60 = 8.4000 hours. Distance = speed × time = 63 × 8.4000 = 529.2 km.\n</reasoning>\nFinal Answer: 529.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:4 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/4, so B = A × (4/11) = 4 × 4/11 = 1.4545.\n</reasoning>\nFinal Answer: 1.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4646. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4646 × 5/100 = 232.3. Total = 4646 + 232.3 = 4878.3.\n</reasoning>\nFinal Answer: 4878.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 26) * (12 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+26)=47, (12-4)=8, then 47×8=376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 16, 17] and B = [2, 9, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 16, 17].\n</reasoning>\nFinal Answer: [4, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 43 = 347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 8x = 304. Divide by 8: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -37 = -135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 14x = -98. Divide by 14: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:1 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/1, so B = A × (1/19) = 38 × 1/19 = 2.0.\n</reasoning>\nFinal Answer: 2.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 857 ÷ -947"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 857 by -947. 857 ÷ -947 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -456 + 488"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -456 and 488: -456 + 488 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:15 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/15, so B = A × (15/6) = 21 × 15/6 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -16 = -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 12x = -372. Divide by 12: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 16 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+16) × 2 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -670 mod -301"
},
{
"role": "assistant",
"content": "<reasoning>\n-670 mod -301: -670 = -301 × 2 + -68, so remainder = -68.\n</reasoning>\nFinal Answer: -68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (5)x + (-14) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×1×-14 = 81. √discriminant = 9. x = (-(5) ± 9) / (2×1). Solutions: x = 2 or x = -7.\n</reasoning>\nFinal Answer: x = 2 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -75 ÷ 698"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -75 by 698. -75 ÷ 698 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/13 + 20/14. Common denominator = 91. Result = 172/91.\n</reasoning>\nFinal Answer: 172/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 - 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/2 - 12/7. LCD = 7. Result = 30/7.\n</reasoning>\nFinal Answer: 30/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 937 km apart. Their speeds are 42 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+115=157 km/h. Time = 937/157 = 5.9682 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (9/15) = (135/270) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 14, 11, 59, 63, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 14, 37, 59, 63, 69]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 30 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 30 = 90 worker-days. New time = 90 / 8 = 11.25 days.\n</reasoning>\nFinal Answer: 11.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 444 mod -403"
},
{
"role": "assistant",
"content": "<reasoning>\n444 mod -403: 444 = -403 × -2 + -362, so remainder = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:12 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/12, so B = A × (12/8) = 8 × 12/8 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 46 * 49 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×49=2254, then 9+2254-1=2262.\n</reasoning>\nFinal Answer: 2262"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 99, 51, 80, 30, 26, 44, 98, 7, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 7 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 23 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+23) × 6 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 9) * (25 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+9)=19, (25-44)=-19, then 19×-19=-361.\n</reasoning>\nFinal Answer: -361"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -211 × -260"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -211 by -260: -211 × -260 = 54860.\n</reasoning>\nFinal Answer: 54860"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 * 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/8) × (19/6) = (228/48) = 19/4 after simplification.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 2 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:6 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/6, so B = A × (6/30) = 2 × 6/30 = 0.4.\n</reasoning>\nFinal Answer: 0.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -22 = 368"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 13x = 390. Divide by 13: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 644 - -767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -767 from 644: 644 - -767 = 1411.\n</reasoning>\nFinal Answer: 1411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 14, 19] and B = [8, 10, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 14, 19].\n</reasoning>\nFinal Answer: [3, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 245 - -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -554 from 245: 245 - -554 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 153."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 153 by smallest primes repeatedly: 153 = 3 × 3 × 17.\n</reasoning>\nFinal Answer: 3 × 3 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 182 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 - 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/16 - 1/4. LCD = 4. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 33 mod -10"
},
{
"role": "assistant",
"content": "<reasoning>\n33 mod -10: 33 = -10 × -4 + -7, so remainder = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 12, 17] and B = [2, 5, 12, 13, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12, 17].\n</reasoning>\nFinal Answer: [12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3997. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3997 × 28/100 = 1119.16. Total = 3997 + 1119.16 = 5116.16.\n</reasoning>\nFinal Answer: 5116.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 8 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 45/60 = 8.7500 hours. Distance = speed × time = 186 × 8.7500 = 1627.5 km.\n</reasoning>\nFinal Answer: 1627.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -28 = 310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 26x = 338. Divide by 26: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×6)/2 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Is 195 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n195 = 3 × 65, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 41 + 11 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×41=1763 and 11×44=484, then add: 2247.\n</reasoning>\nFinal Answer: 2247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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