messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 901 km apart. Their speeds are 52 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+71=123 km/h. Time = 901/123 = 7.3252 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1938. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1938 × 5/100 = 96.9. Total = 1938 + 96.9 = 2034.9.\n</reasoning>\nFinal Answer: 2034.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 11, 13, 17, 19] and B = [5, 9, 13, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 9, 11, 13, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 7,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -720 + -369"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -720 and -369: -720 + -369 = -1089.\n</reasoning>\nFinal Answer: -1089"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 24 + 41 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×24=864 and 41×3=123, then add: 987.\n</reasoning>\nFinal Answer: 987"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 4 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 39/60 = 4.6500 hours. Distance = speed × time = 150 × 4.6500 = 697.5 km.\n</reasoning>\nFinal Answer: 697.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 405 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 405 × (1 + 45/100) = 405 × 1.45 = 587.25.\n</reasoning>\nFinal Answer: 587.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 / 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/3) ÷ (5/11) = (13/3) × (11/5) = 143/15.\n</reasoning>\nFinal Answer: 143/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 1 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 3/4 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 26 + 24 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×26=754 and 24×24=576, then add: 1330.\n</reasoning>\nFinal Answer: 1330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 814 × 507"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 814 by 507: 814 × 507 = 412698.\n</reasoning>\nFinal Answer: 412698"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 37 + 44 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×37=1221 and 44×25=1100, then add: 2321.\n</reasoning>\nFinal Answer: 2321"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 32 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+32) × 13 = 377.0.\n</reasoning>\nFinal Answer: 377.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 * 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/20) × (15/12) = (195/240) = 13/16 after simplification.\n</reasoning>\nFinal Answer: 13/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:44 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/44, so B = A × (44/47) = 3 × 44/47 = 2.8085.\n</reasoning>\nFinal Answer: 2.8085"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 13] and B = [6, 13, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 13, 15].\n</reasoning>\nFinal Answer: [1, 2, 6, 13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42753 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42753 × 13 × 7 / 100 = 38905.23.\n</reasoning>\nFinal Answer: 38905.23"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 545 - 862"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 862 from 545: 545 - 862 = -317.\n</reasoning>\nFinal Answer: -317"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -390 ÷ -728"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -390 by -728. -390 ÷ -728 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 676 - -846"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -846 from 676: 676 - -846 = 1522.\n</reasoning>\nFinal Answer: 1522"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 86, 74, 26, 59, 66, 43, 96, 74, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 86: 1, 74: 2, 26: 1, 59: 1, 66: 1, 43: 1, 96: 1, 39: 1}. Most frequent: 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/9 - 13/3. LCD = 3. Result = -10/3.\n</reasoning>\nFinal Answer: -10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 286 ÷ -687"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 286 by -687. 286 ÷ -687 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [100, 81, 86, 24, 94, 84, 84, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {100: 1, 81: 1, 86: 1, 24: 1, 94: 1, 84: 2, 48: 1}. Most frequent: 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -317 + -200"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -317 and -200: -317 + -200 = -517.\n</reasoning>\nFinal Answer: -517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13443 at 14% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13443 × 14 × 10 / 100 = 18820.2.\n</reasoning>\nFinal Answer: 18820.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 911 mod -456"
},
{
"role": "assistant",
"content": "<reasoning>\n911 mod -456: 911 = -456 × -2 + -1, so remainder = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 716 ÷ 116"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 716 by 116. 716 ÷ 116 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -499 ÷ 713"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -499 by 713. -499 ÷ 713 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 567 × -615"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 567 by -615: 567 × -615 = -348705.\n</reasoning>\nFinal Answer: -348705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 16, 17] and B = [3, 7, 10, 11, 13, 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": "An item costs ₹3063. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3063 × 12/100 = 367.56. Total = 3063 + 367.56 = 3430.56.\n</reasoning>\nFinal Answer: 3430.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 13, 16, 19] and B = [5, 12, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 12, 13, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 5, 12, 13, 16, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 69, 36, 27, 90, 91, 20, 7, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 7 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 776 mod -709"
},
{
"role": "assistant",
"content": "<reasoning>\n776 mod -709: 776 = -709 × -2 + -642, so remainder = -642.\n</reasoning>\nFinal Answer: -642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 312."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 312 by smallest primes repeatedly: 312 = 2 × 2 × 2 × 3 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 33 + 47 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×33=594 and 47×47=2209, then add: 2803.\n</reasoning>\nFinal Answer: 2803"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 48 * 20 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×20=960, then 2+960-19=943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 659 ÷ 752"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 659 by 752. 659 ÷ 752 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 875 mod 340"
},
{
"role": "assistant",
"content": "<reasoning>\n875 mod 340: 875 = 340 × 2 + 195, so remainder = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 * 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/15) × (19/7) = (133/105) = 19/15 after simplification.\n</reasoning>\nFinal Answer: 19/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 35 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 28+1225-6=1247.\n</reasoning>\nFinal Answer: 1247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 128 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 94, 33, 66, 7, 72, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 7 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 36, 20, 58, 43, 5, 35, 62, 97, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 397/10 = 39.7.\n</reasoning>\nFinal Answer: 39.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 / 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/20) ÷ (17/6) = (6/20) × (6/17) = 9/85.\n</reasoning>\nFinal Answer: 9/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 19/9. LCD = 171. Result = -262/171.\n</reasoning>\nFinal Answer: -262/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4732 at 10% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4732 × 10 × 2 / 100 = 946.4.\n</reasoning>\nFinal Answer: 946.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 952?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 952 = (45/100) × 952 = 428.4.\n</reasoning>\nFinal Answer: 428.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/18 = 0.5556.\n</reasoning>\nFinal Answer: 0.5556"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [9, 10, 19] and B = [3, 10, 12, 13, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 9, 10, 12, 13, 15, 19].\n</reasoning>\nFinal Answer: [3, 9, 10, 12, 13, 15, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -791 - -298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -298 from -791: -791 - -298 = -493.\n</reasoning>\nFinal Answer: -493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 570 ÷ -600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 570 by -600. 570 ÷ -600 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 974 + -257"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 974 and -257: 974 + -257 = 717.\n</reasoning>\nFinal Answer: 717"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 * 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/12) × (12/13) = (84/156) = 7/13 after simplification.\n</reasoning>\nFinal Answer: 7/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 60, 44, 80, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 321/5 = 64.2.\n</reasoning>\nFinal Answer: 64.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 45 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+45) × 27 = 1242.0.\n</reasoning>\nFinal Answer: 1242.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 - 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/11 - 13/9. LCD = 99. Result = -134/99.\n</reasoning>\nFinal Answer: -134/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "288 is what percentage of 837?"
},
{
"role": "assistant",
"content": "<reasoning>\n(288/837) × 100 = 34.4086%.\n</reasoning>\nFinal Answer: 34.4086%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 63 = 2268.0.\n</reasoning>\nFinal Answer: 2268.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -586 ÷ -652"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -586 by -652. -586 ÷ -652 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 33 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 33 + 182 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 2 apples and buys 138 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 2 + 138 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -657 × -32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -657 by -32: -657 × -32 = 21024.\n</reasoning>\nFinal Answer: 21024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 76, 56, 51, 74, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 76: 1, 56: 1, 51: 1, 74: 1, 65: 1}. Most frequent: [75, 76, 56, 51, 74, 65].\n</reasoning>\nFinal Answer: [75, 76, 56, 51, 74, 65]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 955 km apart. Their speeds are 84 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+100=184 km/h. Time = 955/184 = 5.1902 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-48)x + (144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -48² - 4×4×144 = 0. √discriminant = 0. x = (-(-48) ± 0) / (2×4). Solutions: x = 6 (double root).\n</reasoning>\nFinal Answer: x = 6 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -33 = 611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 14x = 644. Divide by 14: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 32 = 896"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 18x = 864. Divide by 18: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 + 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/5 + 11/11. Common denominator = 1. Result = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 33 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+33) × 43 = 1548.0.\n</reasoning>\nFinal Answer: 1548.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:50 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/50, so B = A × (50/41) = 46 × 50/41 = 56.0976.\n</reasoning>\nFinal Answer: 56.0976"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 38 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 8+1444-20=1432.\n</reasoning>\nFinal Answer: 1432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 8 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 8 = 56 worker-days. New time = 56 / 7 = 8.0 days.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×30)/2 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 30 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+30) × 32 = 512.0.\n</reasoning>\nFinal Answer: 512.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 44 + 12 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×44=1452 and 12×21=252, then add: 1704.\n</reasoning>\nFinal Answer: 1704"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3717. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3717 × 12/100 = 446.04. Total = 3717 + 446.04 = 4163.04.\n</reasoning>\nFinal Answer: 4163.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 89, 67, 42, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 89: 1, 67: 1, 42: 1, 2: 1}. Most frequent: [70, 89, 67, 42, 2].\n</reasoning>\nFinal Answer: [70, 89, 67, 42, 2]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 30 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 30 = 330 worker-days. New time = 330 / 7 = 47.1429 days.\n</reasoning>\nFinal Answer: 47.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:16 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/16, so B = A × (16/40) = 47 × 16/40 = 18.8.\n</reasoning>\nFinal Answer: 18.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 + 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/18 + 17/8. Common denominator = 72. Result = 229/72.\n</reasoning>\nFinal Answer: 229/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 271 + -106"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 271 and -106: 271 + -106 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 453 km apart. Their speeds are 40 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+84=124 km/h. Time = 453/124 = 3.6532 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 13, 15, 17, 19] and B = [6, 7, 8, 9, 11, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 5, 13, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 5, 13, 15, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 230 × 334"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 230 by 334: 230 × 334 = 76820.\n</reasoning>\nFinal Answer: 76820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -751 - -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -569 from -751: -751 - -569 = -182.\n</reasoning>\nFinal Answer: -182"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (10)x + (-315) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×5×-315 = 6400. √discriminant = 80. x = (-(10) ± 80) / (2×5). Solutions: x = -9 or x = 7.\n</reasoning>\nFinal Answer: x = -9 or x = 7"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:32 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/32, so B = A × (32/5) = 76 × 32/5 = 486.4.\n</reasoning>\nFinal Answer: 486.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 10 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 47/60 = 10.7833 hours. Distance = speed × time = 65 × 10.7833 = 700.9167 km.\n</reasoning>\nFinal Answer: 700.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 35 * 20 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×20=700, then 14+700-32=682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -139 mod -34"
},
{
"role": "assistant",
"content": "<reasoning>\n-139 mod -34: -139 = -34 × 4 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 43 + 12 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×43=129 and 12×33=396, then add: 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 514 mod 276"
},
{
"role": "assistant",
"content": "<reasoning>\n514 mod 276: 514 = 276 × 1 + 238, so remainder = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 789 - -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -448 from 789: 789 - -448 = 1237.\n</reasoning>\nFinal Answer: 1237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 312 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 312 × (1 + 15/100) = 312 × 1.15 = 358.8.\n</reasoning>\nFinal Answer: 358.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 16 + 7 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×16=144 and 7×2=14, then add: 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 158 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(158,160) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+87) = 2×135 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 63 = 1165.5.\n</reasoning>\nFinal Answer: 1165.5"
}
] | easy | [
"geometry",
"area"
] |
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