messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 50 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 37+2500-48=2489.\n</reasoning>\nFinal Answer: 2489"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 - 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/20 - 8/20. LCD = 5. Result = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 75, 8, 38, 40, 40, 67, 48, 65, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 38, 40, 40, 48, 65, 67, 75, 76, 89]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 823 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 823 × (1 + 80/100) = 823 × 1.8 = 1481.4.\n</reasoning>\nFinal Answer: 1481.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 36 = -292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 8x = -328. Divide by 8: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 125 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 125 × (1 - 5/100) = 125 × 0.95 = 118.75.\n</reasoning>\nFinal Answer: 118.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17614 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17614 × 11 × 9 / 100 = 17437.86.\n</reasoning>\nFinal Answer: 17437.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 24 = 168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 12x = 144. Divide by 12: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 112 apples and buys 196 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 112 + 196 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 19 = -152"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 19x = -171. Divide by 19: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 22, 36, 50, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 14. Next term = 64 + 14 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (68)x + (288) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 68² - 4×4×288 = 16. √discriminant = 4. x = (-(68) ± 4) / (2×4). Solutions: x = -8 or x = -9.\n</reasoning>\nFinal Answer: x = -8 or x = -9"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 46 = -472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 14x = -518. Divide by 14: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -886 × 61"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -886 by 61: -886 × 61 = -54046.\n</reasoning>\nFinal Answer: -54046"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 260 - 517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 517 from 260: 260 - 517 = -257.\n</reasoning>\nFinal Answer: -257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 / 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/2) ÷ (10/17) = (18/2) × (17/10) = 153/10.\n</reasoning>\nFinal Answer: 153/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/6) × (2/7) = (16/42) = 8/21 after simplification.\n</reasoning>\nFinal Answer: 8/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:33 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/33, so B = A × (33/29) = 25 × 33/29 = 28.4483.\n</reasoning>\nFinal Answer: 28.4483"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 10, 13, 14, 16, 17] and B = [1, 6, 7, 8, 11, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 7].\n</reasoning>\nFinal Answer: [1, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -71 + -310"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -71 and -310: -71 + -310 = -381.\n</reasoning>\nFinal Answer: -381"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -27 = -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 8x = 16. Divide by 8: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 302 mod 771"
},
{
"role": "assistant",
"content": "<reasoning>\n302 mod 771: 302 = 771 × 0 + 302, so remainder = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 + 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/15 + 11/3. Common denominator = 15. Result = 71/15.\n</reasoning>\nFinal Answer: 71/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -8 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 7x = 266. Divide by 7: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 52, 67, 82, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 15. Next term = 97 + 15 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "648 is what percentage of 915?"
},
{
"role": "assistant",
"content": "<reasoning>\n(648/915) × 100 = 70.8197%.\n</reasoning>\nFinal Answer: 70.8197%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -465 - -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -427 from -465: -465 - -427 = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 127 - -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -234 from 127: 127 - -234 = 361.\n</reasoning>\nFinal Answer: 361"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 39, 84, 75, 75, 67, 90, 31, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 31, 39, 59, 67, 75, 75, 84, 90]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -29 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 17x = 85. Divide by 17: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 8 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 47/60 = 8.7833 hours. Distance = speed × time = 78 × 8.7833 = 685.1 km.\n</reasoning>\nFinal Answer: 685.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (10/18) = (17/20) × (18/10) = 153/100.\n</reasoning>\nFinal Answer: 153/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 49, 58, 74, 20, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 2, 49: 1, 58: 1, 74: 1, 20: 1}. Most frequent: 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 - 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/9 - 9/12. LCD = 36. Result = 5/36.\n</reasoning>\nFinal Answer: 5/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+2) = 2×21 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 14 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 12+196-22=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 4 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+4) × 27 = 351.0.\n</reasoning>\nFinal Answer: 351.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 36 = 1584.\n</reasoning>\nFinal Answer: 1584"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3469. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3469 × 12/100 = 416.28. Total = 3469 + 416.28 = 3885.28.\n</reasoning>\nFinal Answer: 3885.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "171 is what percentage of 174?"
},
{
"role": "assistant",
"content": "<reasoning>\n(171/174) × 100 = 98.2759%.\n</reasoning>\nFinal Answer: 98.2759%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 29 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 29 = 87 worker-days. New time = 87 / 10 = 8.7 days.\n</reasoning>\nFinal Answer: 8.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 30 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 30 = 150 worker-days. New time = 150 / 14 = 10.7143 days.\n</reasoning>\nFinal Answer: 10.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 638 km apart. Their speeds are 69 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+69=138 km/h. Time = 638/138 = 4.6232 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 11] and B = [5, 13, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -522 mod -416"
},
{
"role": "assistant",
"content": "<reasoning>\n-522 mod -416: -522 = -416 × 1 + -106, so remainder = -106.\n</reasoning>\nFinal Answer: -106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 11] and B = [2, 7, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -32 = -712"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 17x = -680. Divide by 17: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 17 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+17) × 11 = 346.5.\n</reasoning>\nFinal Answer: 346.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 - 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/12 - 16/10. LCD = 15. Result = -4/15.\n</reasoning>\nFinal Answer: -4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 33 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+33) × 31 = 697.5.\n</reasoning>\nFinal Answer: 697.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 + 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/10 + 5/14. Common denominator = 70. Result = 123/70.\n</reasoning>\nFinal Answer: 123/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4523. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4523 × 18/100 = 814.14. Total = 4523 + 814.14 = 5337.14.\n</reasoning>\nFinal Answer: 5337.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -26 = -91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 13x = -65. Divide by 13: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:38 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/38, so B = A × (38/19) = 49 × 38/19 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 134 × -707"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 134 by -707: 134 × -707 = -94738.\n</reasoning>\nFinal Answer: -94738"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 136?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 136 = (10/100) × 136 = 13.6.\n</reasoning>\nFinal Answer: 13.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:48 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/48, so B = A × (48/20) = 99 × 48/20 = 237.6.\n</reasoning>\nFinal Answer: 237.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 409 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 409 × (1 - 50/100) = 409 × 0.5 = 204.5.\n</reasoning>\nFinal Answer: 204.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 5 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 5 = 65 worker-days. New time = 65 / 18 = 3.6111 days.\n</reasoning>\nFinal Answer: 3.6111"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 35, 22, 46, 5, 72, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 21, 22, 35, 41, 46, 72]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (11)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 11² - 4×1×30 = 1. √discriminant = 1. x = (-(11) ± 1) / (2×1). Solutions: x = -6 or x = -5.\n</reasoning>\nFinal Answer: x = -6 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -31 = -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 12x = -504. Divide by 12: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:26 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/26, so B = A × (26/15) = 29 × 26/15 = 50.2667.\n</reasoning>\nFinal Answer: 50.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 99, 28, 19, 4, 25, 72, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 14, 19, 25, 28, 57, 72, 99]. Middle value(s) → median = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 / 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/3) ÷ (16/15) = (3/3) × (15/16) = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 829?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 829 = (80/100) × 829 = 663.2.\n</reasoning>\nFinal Answer: 663.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 - 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/3 - 14/16. LCD = 8. Result = 9/8.\n</reasoning>\nFinal Answer: 9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:47 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/47, so B = A × (47/26) = 49 × 47/26 = 88.5769.\n</reasoning>\nFinal Answer: 88.5769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -22 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 44 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 44 × 73 = 3212.\n</reasoning>\nFinal Answer: 3212"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -27 = -405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17202 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17202 × 11 × 8 / 100 = 15137.76.\n</reasoning>\nFinal Answer: 15137.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 4 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+4) × 29 = 275.5.\n</reasoning>\nFinal Answer: 275.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -929 mod 950"
},
{
"role": "assistant",
"content": "<reasoning>\n-929 mod 950: -929 = 950 × -1 + 21, so remainder = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 32 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+32) × 43 = 1720.0.\n</reasoning>\nFinal Answer: 1720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 65% of 413?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 413 = (65/100) × 413 = 268.45.\n</reasoning>\nFinal Answer: 268.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -39 = 665"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 22x = 704. Divide by 22: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 196 km apart. Their speeds are 49 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+49=98 km/h. Time = 196/98 = 2.0 hours.\n</reasoning>\nFinal Answer: 2.0... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 10, 12, 14, 17, 18] and B = [3, 4, 5, 8, 11, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 14].\n</reasoning>\nFinal Answer: [8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×45 = 0. √discriminant = 0. x = (-(-30) ± 0) / (2×5). Solutions: x = 3 (double root).\n</reasoning>\nFinal Answer: x = 3 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 22 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+22) × 46 = 805.0.\n</reasoning>\nFinal Answer: 805.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 17) * (19 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+17)=59, (19-35)=-16, then 59×-16=-944.\n</reasoning>\nFinal Answer: -944"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = -433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = -450. Divide by 25: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "604 is what percentage of 633?"
},
{
"role": "assistant",
"content": "<reasoning>\n(604/633) × 100 = 95.4186%.\n</reasoning>\nFinal Answer: 95.4186%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 951 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 951 × (1 - 30/100) = 951 × 0.7 = 665.7.\n</reasoning>\nFinal Answer: 665.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:22 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/22, so B = A × (22/31) = 83 × 22/31 = 58.9032.\n</reasoning>\nFinal Answer: 58.9032"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (5/1) = (95/11) = 95/11 after simplification.\n</reasoning>\nFinal Answer: 95/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 36 + 37 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×36=1188 and 37×43=1591, then add: 2779.\n</reasoning>\nFinal Answer: 2779"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 22 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 22 = 352 worker-days. New time = 352 / 10 = 35.2 days.\n</reasoning>\nFinal Answer: 35.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -43 = 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 1x = 49. Divide by 1: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 77, 26, 61, 79, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 9 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 191 km apart. Their speeds are 111 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+57=168 km/h. Time = 191/168 = 1.1369 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 7) * (14 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+7)=55, (14-26)=-12, then 55×-12=-660.\n</reasoning>\nFinal Answer: -660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 366 km apart. Their speeds are 119 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+78=197 km/h. Time = 366/197 = 1.8579 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 7 = 349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 19x = 342. Divide by 19: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -802 mod 6"
},
{
"role": "assistant",
"content": "<reasoning>\n-802 mod 6: -802 = 6 × -134 + 2, so remainder = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 37, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 37 + 38 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 13 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 13 = 65 worker-days. New time = 65 / 20 = 3.25 days.\n</reasoning>\nFinal Answer: 3.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 29 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 29 = 87 worker-days. New time = 87 / 16 = 5.4375 days.\n</reasoning>\nFinal Answer: 5.4375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:16 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/16, so B = A × (16/27) = 6 × 16/27 = 3.5556.\n</reasoning>\nFinal Answer: 3.5556"
}
] | medium | [
"ratio",
"proportion"
] |
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