messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "2 workers can complete a job in 25 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 25 = 50 worker-days. New time = 50 / 8 = 6.25 days.\n</reasoning>\nFinal Answer: 6.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -834 + -626"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -834 and -626: -834 + -626 = -1460.\n</reasoning>\nFinal Answer: -1460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 882 km apart. Their speeds are 104 km/h and 46 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+46=150 km/h. Time = 882/150 = 5.88 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 238 + 156"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 238 and 156: 238 + 156 = 394.\n</reasoning>\nFinal Answer: 394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 / 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/6) ÷ (11/7) = (15/6) × (7/11) = 35/22.\n</reasoning>\nFinal Answer: 35/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 11, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (11-1)×11 = 13 + 110 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 505 km apart. Their speeds are 92 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+87=179 km/h. Time = 505/179 = 2.8212 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 15 * 6 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×6=90, then 36+90-46=80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -469 ÷ -674"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -469 by -674. -469 ÷ -674 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 83."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 83: factors are [1, 83].\n</reasoning>\nFinal Answer: [1, 83]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 + 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/7 + 19/16. Common denominator = 112. Result = 197/112.\n</reasoning>\nFinal Answer: 197/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 7 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 7 = 126 worker-days. New time = 126 / 8 = 15.75 days.\n</reasoning>\nFinal Answer: 15.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 30 = 2160.\n</reasoning>\nFinal Answer: 2160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 523 × -316"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 523 by -316: 523 × -316 = -165268.\n</reasoning>\nFinal Answer: -165268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = 19. Divide by 1: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 13 = 910.\n</reasoning>\nFinal Answer: 910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48403 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48403 × 19 × 7 / 100 = 64375.99.\n</reasoning>\nFinal Answer: 64375.99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 97, 5, 90, 18, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 97: 1, 5: 1, 90: 1, 18: 1, 36: 1}. Most frequent: [9, 97, 5, 90, 18, 36].\n</reasoning>\nFinal Answer: [9, 97, 5, 90, 18, 36]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -40 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 139 + -961"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 139 and -961: 139 + -961 = -822.\n</reasoning>\nFinal Answer: -822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 11 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+11) × 20 = 190.0.\n</reasoning>\nFinal Answer: 190.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -644 - -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -216 from -644: -644 - -216 = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -49 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 2x = 56. Divide by 2: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 26 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 49+676-50=675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 12, 16, 17, 18, 19] and B = [6, 9, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 9, 12, 17, 18, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 24 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "658 is what percentage of 729?"
},
{
"role": "assistant",
"content": "<reasoning>\n(658/729) × 100 = 90.2606%.\n</reasoning>\nFinal Answer: 90.2606%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 638 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 638 × (1 - 17/100) = 638 × 0.83 = 529.54.\n</reasoning>\nFinal Answer: 529.54"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 34 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 8x = -32. Divide by 8: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 13, 14, 17, 19] and B = [4, 6, 8, 11, 17, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 6, 11, 13, 14, 18].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 160 km/h. How far does it travel in 1 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 9/60 = 1.1500 hours. Distance = speed × time = 160 × 1.1500 = 184.0 km.\n</reasoning>\nFinal Answer: 184.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "231 is what percentage of 396?"
},
{
"role": "assistant",
"content": "<reasoning>\n(231/396) × 100 = 58.3333%.\n</reasoning>\nFinal Answer: 58.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+42) = 2×94 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 94, 67, 41, 32, 53, 90, 3, 92, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 561/10 = 56.1.\n</reasoning>\nFinal Answer: 56.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 * 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/7) × (16/17) = (272/119) = 16/7 after simplification.\n</reasoning>\nFinal Answer: 16/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 172 and 145."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(172,145) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 14 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+14) × 37 = 573.5.\n</reasoning>\nFinal Answer: 573.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 30 = -285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 21x = -315. Divide by 21: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 97, 23, 31, 94, 74, 54, 48, 20, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 20, 23, 31, 41, 48, 54, 74, 94, 97]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -42 = -242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 4x = -200. Divide by 4: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 554 ÷ -837"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 554 by -837. 554 ÷ -837 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 + 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/4 + 6/10. Common denominator = 20. Result = 47/20.\n</reasoning>\nFinal Answer: 47/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 * 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/15) × (8/19) = (120/285) = 8/19 after simplification.\n</reasoning>\nFinal Answer: 8/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 20 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+20) × 3 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 16 = 456.0.\n</reasoning>\nFinal Answer: 456.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 221 + -756"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 221 and -756: 221 + -756 = -535.\n</reasoning>\nFinal Answer: -535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 27 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+27) × 23 = 517.5.\n</reasoning>\nFinal Answer: 517.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (15)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 15² - 4×3×-18 = 441. √discriminant = 21. x = (-(15) ± 21) / (2×3). Solutions: x = -6 or x = 1.\n</reasoning>\nFinal Answer: x = -6 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -37 = 949"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 29x = 986. Divide by 29: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 36 * 20 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×20=720, then 41+720-42=719.\n</reasoning>\nFinal Answer: 719"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 - 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/7 - 18/10. LCD = 35. Result = 2/35.\n</reasoning>\nFinal Answer: 2/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:30 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/30, so B = A × (30/21) = 77 × 30/21 = 110.0.\n</reasoning>\nFinal Answer: 110.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -942 ÷ -940"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -942 by -940. -942 ÷ -940 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 610?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 610 = (17/100) × 610 = 103.7.\n</reasoning>\nFinal Answer: 103.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 262 ÷ 405"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 262 by 405. 262 ÷ 405 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 10, 39, 13, 21, 88, 51, 36, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 10 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (12)x + (27) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×1×27 = 36. √discriminant = 6. x = (-(12) ± 6) / (2×1). Solutions: x = -9 or x = -3.\n</reasoning>\nFinal Answer: x = -9 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 50 = 475.0.\n</reasoning>\nFinal Answer: 475.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -4 = 371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 15x = 375. Divide by 15: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 3 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 6x = 6. Divide by 6: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 972 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 972 × (1 + 20/100) = 972 × 1.2 = 1166.4.\n</reasoning>\nFinal Answer: 1166.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 14 = -162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 16x = -176. Divide by 16: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 75 = 3300.\n</reasoning>\nFinal Answer: 3300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 24 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 20+576-18=578.\n</reasoning>\nFinal Answer: 578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×7)/7 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 22, 81, 25, 70, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 261/6 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:4 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/4, so B = A × (4/30) = 12 × 4/30 = 1.6.\n</reasoning>\nFinal Answer: 1.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 9 = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 3x = -9. Divide by 3: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -37 = -1269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 28x = -1232. Divide by 28: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 225 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 225 × (1 - 40/100) = 225 × 0.6 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 19, 48, 59, 84, 71, 74, 22, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 19: 1, 48: 1, 59: 1, 84: 1, 71: 1, 74: 1, 22: 1, 20: 1}. Most frequent: [18, 19, 48, 59, 84, 71, 74, 22, 20].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 - 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/15 - 6/19. LCD = 57. Result = 1/57.\n</reasoning>\nFinal Answer: 1/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 4, 17, 5, 11, 27, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 4 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 457 - 504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 504 from 457: 457 - 504 = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 799 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 799 × (1 + 80/100) = 799 × 1.8 = 1438.2.\n</reasoning>\nFinal Answer: 1438.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 14 * 5 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×5=70, then 30+70-27=73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "1 is what percentage of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/309) × 100 = 0.3236%.\n</reasoning>\nFinal Answer: 0.3236%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 686 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 686 × (1 + 50/100) = 686 × 1.5 = 1029.0.\n</reasoning>\nFinal Answer: 1029.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 12, 2, 60, 98, 99, 42, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 12: 1, 2: 1, 60: 1, 98: 1, 99: 1, 42: 1, 14: 1}. Most frequent: [24, 12, 2, 60, 98, 99, 42, 14].\n</reasoning>\nFinal Answer: [24, 12, 2,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 913 km apart. Their speeds are 94 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+92=186 km/h. Time = 913/186 = 4.9086 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -10 = 367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 29x = 377. Divide by 29: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 / 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/18) ÷ (19/19) = (10/18) × (19/19) = 5/9.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 22 = -410"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 12x = -432. Divide by 12: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 13 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 13 = 117 worker-days. New time = 117 / 4 = 29.25 days.\n</reasoning>\nFinal Answer: 29.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36531 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36531 × 16 × 9 / 100 = 52604.64.\n</reasoning>\nFinal Answer: 52604.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 11, 16] and B = [3, 4, 8, 9, 10, 15, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 8, 9, 10, 11, 15, 16, 17].\n</reasoning>\nFinal Answer: [3, 4, 6, 8, 9,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [10, 13, 14] and B = [1, 3, 14, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 13].\n</reasoning>\nFinal Answer: [10, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 1 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 48/60 = 1.8000 hours. Distance = speed × time = 166 × 1.8000 = 298.8 km.\n</reasoning>\nFinal Answer: 298.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 233 km apart. Their speeds are 104 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+103=207 km/h. Time = 233/207 = 1.1256 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 107 apples and buys 93 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 107 + 93 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 92, 26, 80, 45, 57, 86, 21, 40, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 21, 26, 40, 45, 57, 80, 86, 92]. Middle value(s) → median = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 31 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+31) × 25 = 862.5.\n</reasoning>\nFinal Answer: 862.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:3 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/3, so B = A × (3/30) = 23 × 3/30 = 2.3.\n</reasoning>\nFinal Answer: 2.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 24?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 24 = (20/100) × 24 = 4.8.\n</reasoning>\nFinal Answer: 4.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 9 * 28 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×28=252, then 27+252-48=231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 31 = 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 1x = -11. Divide by 1: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 7, 8, 9, 15, 19] and B = [1, 3, 5, 9, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 7, 8, 14, 15, 18, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 9 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 15x = -270. Divide by 15: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 3 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 11/60 = 3.1833 hours. Distance = speed × time = 142 × 3.1833 = 452.0333 km.\n</reasoning>\nFinal Answer: 452.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 36 = 3348.\n</reasoning>\nFinal Answer: 3348"
}
] | easy | [
"geometry",
"area"
] |
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