messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 16 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 31+256-28=259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 7, 2, 45, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 129/5 = 25.8.\n</reasoning>\nFinal Answer: 25.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 16 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+16) × 11 = 302.5.\n</reasoning>\nFinal Answer: 302.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 39 * 41 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×41=1599, then 28+1599-43=1584.\n</reasoning>\nFinal Answer: 1584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -291 ÷ -895"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -291 by -895. -291 ÷ -895 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 132 km/h. How far does it travel in 4 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 42/60 = 4.7000 hours. Distance = speed × time = 132 × 4.7000 = 620.4 km.\n</reasoning>\nFinal Answer: 620.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 889 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 889 × (1 - 90/100) = 889 × 0.09999999999999998 = 88.9.\n</reasoning>\nFinal Answer: 88.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 19 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 19 = 228 worker-days. New time = 228 / 17 = 13.4118 days.\n</reasoning>\nFinal Answer: 13.4118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 50, 100, 44, 5, 41, 83, 32, 96, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 15% of 697?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 697 = (15/100) × 697 = 104.55.\n</reasoning>\nFinal Answer: 104.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 79 + -652"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 79 and -652: 79 + -652 = -573.\n</reasoning>\nFinal Answer: -573"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 * 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/14) × (3/16) = (12/224) = 3/56 after simplification.\n</reasoning>\nFinal Answer: 3/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 402?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 402 = (17/100) × 402 = 68.34.\n</reasoning>\nFinal Answer: 68.34"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2814. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2814 × 18/100 = 506.52. Total = 2814 + 506.52 = 3320.52.\n</reasoning>\nFinal Answer: 3320.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 79, 11, 78, 29, 88, 87, 49, 15, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 11 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -245 × 52"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -245 by 52: -245 × 52 = -12740.\n</reasoning>\nFinal Answer: -12740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 / 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/6) ÷ (4/12) = (12/6) × (12/4) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 32 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+32) × 42 = 1512.0.\n</reasoning>\nFinal Answer: 1512.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 15 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 15 = 150 worker-days. New time = 150 / 7 = 21.4286 days.\n</reasoning>\nFinal Answer: 21.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 481 + 114"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 481 and 114: 481 + 114 = 595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:30 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/30, so B = A × (30/10) = 20 × 30/10 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 65% of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 333 = (65/100) × 333 = 216.45.\n</reasoning>\nFinal Answer: 216.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "221 is what percentage of 450?"
},
{
"role": "assistant",
"content": "<reasoning>\n(221/450) × 100 = 49.1111%.\n</reasoning>\nFinal Answer: 49.1111%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 199 × 1.8333 = 364.8333 km.\n</reasoning>\nFinal Answer: 364.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 648 km apart. Their speeds are 118 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+80=198 km/h. Time = 648/198 = 3.2727 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 13/4. LCD = 68. Result = -157/68.\n</reasoning>\nFinal Answer: -157/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 100 = 4200.\n</reasoning>\nFinal Answer: 4200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 8, 12, 17, 18] and B = [2, 4, 11, 12, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 7, 8, 11, 12, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 409 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 409 × (1 + 60/100) = 409 × 1.6 = 654.4.\n</reasoning>\nFinal Answer: 654.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 - 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/10 - 15/20. LCD = 20. Result = 19/20.\n</reasoning>\nFinal Answer: 19/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 18 = -684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 27x = -702. Divide by 27: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 76 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 76 × (1 - 75/100) = 76 × 0.25 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 97 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -70 ÷ 883"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -70 by 883. -70 ÷ 883 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 54, 84, 46, 20, 22, 80, 27, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 387/9 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 / 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/6) ÷ (1/18) = (10/6) × (18/1) = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 3 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 15/60 = 3.2500 hours. Distance = speed × time = 177 × 3.2500 = 575.25 km.\n</reasoning>\nFinal Answer: 575.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 969 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 969 × (1 + 30/100) = 969 × 1.3 = 1259.7.\n</reasoning>\nFinal Answer: 1259.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 36, 42, 80, 65, 32, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 1 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -44 = 945"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 23x = 989. Divide by 23: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -579 - 980"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 980 from -579: -579 - 980 = -1559.\n</reasoning>\nFinal Answer: -1559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 523 km apart. Their speeds are 105 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+91=196 km/h. Time = 523/196 = 2.6684 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (-150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×-150 = 2025. √discriminant = 45. x = (-(-15) ± 45) / (2×3). Solutions: x = -5 or x = 10.\n</reasoning>\nFinal Answer: x = -5 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 217 mod -209"
},
{
"role": "assistant",
"content": "<reasoning>\n217 mod -209: 217 = -209 × -2 + -201, so remainder = -201.\n</reasoning>\nFinal Answer: -201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 13 = 973"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 30x = 960. Divide by 30: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -910 mod 551"
},
{
"role": "assistant",
"content": "<reasoning>\n-910 mod 551: -910 = 551 × -2 + 192, so remainder = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 20, 23, 55, 23, 61, 8, 91, 56, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 20, 23, 23, 55, 56, 61, 63, 91, 94]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 23 = -281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 8x = -304. Divide by 8: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 68, 86, 9, 61, 90, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/7 = 50.7143.\n</reasoning>\nFinal Answer: 50.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 36 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 2x = -48. Divide by 2: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 432."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 432 by smallest primes repeatedly: 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 3 × 3 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -45 = -436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 17x = -391. Divide by 17: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 90 apples and buys 115 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 90 + 115 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 400 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 400 × (1 - 17/100) = 400 × 0.83 = 332.0.\n</reasoning>\nFinal Answer: 332.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 148 = 327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 5) * (6 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+5)=14, (6-15)=-9, then 14×-9=-126.\n</reasoning>\nFinal Answer: -126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 6 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 12/60 = 6.2000 hours. Distance = speed × time = 97 × 6.2000 = 601.4 km.\n</reasoning>\nFinal Answer: 601.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 27 = -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 7x = -336. Divide by 7: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 17 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 17 × 78 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -15 = -645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 21x = -630. Divide by 21: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 45 = 733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 16x = 688. Divide by 16: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -300 + 600"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -300 and 600: -300 + 600 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 22, 69, 78, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 22: 1, 69: 1, 78: 2}. Most frequent: 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 113."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,113) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 436 + 252"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 436 and 252: 436 + 252 = 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (25)x + (-70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 25² - 4×5×-70 = 2025. √discriminant = 45. x = (-(25) ± 45) / (2×5). Solutions: x = -7 or x = 2.\n</reasoning>\nFinal Answer: x = -7 or x = 2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 48 = 3360.\n</reasoning>\nFinal Answer: 3360"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 166 = 349.\n</reasoning>\nFinal Answer: 349"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 414 + 361"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 414 and 361: 414 + 361 = 775.\n</reasoning>\nFinal Answer: 775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 21 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 10x = 60. Divide by 10: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -133 mod 733"
},
{
"role": "assistant",
"content": "<reasoning>\n-133 mod 733: -133 = 733 × -1 + 600, so remainder = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -21 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 2x = 60. Divide by 2: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 32, 128, 512, 2048]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 8 and ratio 4. Next term = 2048 × 4 = 8192.\n</reasoning>\nFinal Answer: 8192"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Increase 180 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 180 × (1 + 20/100) = 180 × 1.2 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 66, 63, 32, 63, 52, 35, 48, 80, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 467/10 = 46.7.\n</reasoning>\nFinal Answer: 46.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 141 km apart. Their speeds are 61 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+105=166 km/h. Time = 141/166 = 0.8494 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 8, 12, 15, 17, 18] and B = [1, 2, 8, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 7, 8, 12, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 517 + 104"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 517 and 104: 517 + 104 = 621.\n</reasoning>\nFinal Answer: 621"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 18) * (11 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+18)=48, (11-41)=-30, then 48×-30=-1440.\n</reasoning>\nFinal Answer: -1440"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 88 km/h. How far does it travel in 11 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 33/60 = 11.5500 hours. Distance = speed × time = 88 × 11.5500 = 1016.4 km.\n</reasoning>\nFinal Answer: 1016.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "269 is what percentage of 667?"
},
{
"role": "assistant",
"content": "<reasoning>\n(269/667) × 100 = 40.3298%.\n</reasoning>\nFinal Answer: 40.3298%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 11, 14, 15, 16, 18] and B = [5, 6, 7, 9], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 6, 7, 9, 11, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: [3, 4, 5, 6, 7, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 100, 40, 96, 42, 78, 27, 38, 25, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 9, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (40-1)×9 = 47 + 351 = 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 50, 52, 54, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 2. Next term = 56 + 2 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 11/19. LCD = 133. Result = 265/133.\n</reasoning>\nFinal Answer: 265/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 73, 74, 84, 2, 71, 85, 95, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 3, 71, 73, 74, 75, 84, 85, 95]. Middle value(s) → median = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 116 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 116 + 80 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 2 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 10/60 = 2.1667 hours. Distance = speed × time = 49 × 2.1667 = 106.1667 km.\n</reasoning>\nFinal Answer: 106.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 32 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -187 × -240"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -187 by -240: -187 × -240 = 44880.\n</reasoning>\nFinal Answer: 44880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×43)/1 = 1935.\n</reasoning>\nFinal Answer: 1935"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 * 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/3) × (10/2) = (40/6) = 20/3 after simplification.\n</reasoning>\nFinal Answer: 20/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 25 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 25 = 125 worker-days. New time = 125 / 17 = 7.3529 days.\n</reasoning>\nFinal Answer: 7.3529"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+44) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 19, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (39-1)×19 = 9 + 722 = 731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 13, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (11-1)×13 = 39 + 130 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 5, 13, 84, 63, 29, 59, 54, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 2, 5: 1, 13: 1, 84: 1, 63: 1, 29: 1, 54: 1, 30: 1}. Most frequent: 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 50% of 546?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 546 = (50/100) × 546 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 22 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 10+484-45=449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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