messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [90, 22, 4, 99, 96, 98, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/7 = 68.5714.\n</reasoning>\nFinal Answer: 68.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 359 km apart. Their speeds are 112 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+41=153 km/h. Time = 359/153 = 2.3464 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (20)x + (-160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×5×-160 = 3600. √discriminant = 60. x = (-(20) ± 60) / (2×5). Solutions: x = -8 or x = 4.\n</reasoning>\nFinal Answer: x = -8 or x = 4"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:13 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/13, so B = A × (13/36) = 49 × 13/36 = 17.6944.\n</reasoning>\nFinal Answer: 17.6944"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 882 - 903"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 903 from 882: 882 - 903 = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 537 mod 340"
},
{
"role": "assistant",
"content": "<reasoning>\n537 mod 340: 537 = 340 × 1 + 197, so remainder = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 401 + 987"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 401 and 987: 401 + 987 = 1388.\n</reasoning>\nFinal Answer: 1388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 48, 31, 57, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/5 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -53 mod 774"
},
{
"role": "assistant",
"content": "<reasoning>\n-53 mod 774: -53 = 774 × -1 + 721, so remainder = 721.\n</reasoning>\nFinal Answer: 721"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 204 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 204 × (1 + 5/100) = 204 × 1.05 = 214.2.\n</reasoning>\nFinal Answer: 214.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -598 - -537"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -537 from -598: -598 - -537 = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 66, 56, 93, 33, 39, 43, 90, 2, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 66: 1, 56: 1, 93: 1, 33: 1, 39: 2, 43: 1, 90: 1, 2: 1}. Most frequent: 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 35 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 30x = -270. Divide by 30: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -36 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 2x = -26. Divide by 2: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×4)/1 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 102 km/h. How far does it travel in 2 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 40/60 = 2.6667 hours. Distance = speed × time = 102 × 2.6667 = 272.0 km.\n</reasoning>\nFinal Answer: 272.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 13, 15, 16, 18, 19] and B = [1, 6, 9, 12, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 16].\n</reasoning>\nFinal Answer: [1, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 86, 38, 87, 77, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 357/6 = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 859 km apart. Their speeds are 53 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+78=131 km/h. Time = 859/131 = 6.5573 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 70, 62, 89, 29, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 273/6 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+29) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 181 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 181 × (1 - 7/100) = 181 × 0.9299999999999999 = 168.33.\n</reasoning>\nFinal Answer: 168.33"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 899 km apart. Their speeds are 83 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+108=191 km/h. Time = 899/191 = 4.7068 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 13, 15] and B = [7, 11, 13, 14, 15, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13, 15].\n</reasoning>\nFinal Answer: [13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:48 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/48, so B = A × (48/20) = 17 × 48/20 = 40.8.\n</reasoning>\nFinal Answer: 40.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 345 km apart. Their speeds are 112 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+118=230 km/h. Time = 345/230 = 1.5 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×2×0 = 144. √discriminant = 12. x = (-(-12) ± 12) / (2×2). Solutions: x = 0 or x = 6.\n</reasoning>\nFinal Answer: x = 0 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 13, 17] and B = [2, 5, 9, 10, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 9, 10, 13, 15].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 * 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/4) × (18/8) = (90/32) = 45/16 after simplification.\n</reasoning>\nFinal Answer: 45/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 14, 76, 25, 54, 91, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 14: 1, 76: 1, 25: 1, 54: 1, 91: 1, 93: 1}. Most frequent: [17, 14, 76, 25, 54, 91, 93].\n</reasoning>\nFinal Answer: [17, 14, 76, 25, 54, 91... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 567 × 922"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 567 by 922: 567 × 922 = 522774.\n</reasoning>\nFinal Answer: 522774"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 5, 39, 44, 85, 66, 61, 56, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 5 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 54, 32, 45, 66, 35, 66, 45, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 35, 43, 45, 45, 54, 66, 66, 66]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-44)x + (96) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -44² - 4×4×96 = 400. √discriminant = 20. x = (-(-44) ± 20) / (2×4). Solutions: x = 3 or x = 8.\n</reasoning>\nFinal Answer: x = 3 or x = 8"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 13, 14, 15] and B = [1, 2, 4, 11, 13], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 13].\n</reasoning>\nFinal Answer: [1, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -277 mod 379"
},
{
"role": "assistant",
"content": "<reasoning>\n-277 mod 379: -277 = 379 × -1 + 102, so remainder = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 29, 91, 66, 39, 57, 16, 88, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 16 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 28 + 34 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×28=28 and 34×3=102, then add: 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 9 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 6+81-3=84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -37 = 899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 26x = 936. Divide by 26: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 27 + 24 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×27=567 and 24×15=360, then add: 927.\n</reasoning>\nFinal Answer: 927"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:10 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/10, so B = A × (10/48) = 61 × 10/48 = 12.7083.\n</reasoning>\nFinal Answer: 12.7083"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -542 × -205"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -542 by -205: -542 × -205 = 111110.\n</reasoning>\nFinal Answer: 111110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 - 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/8 - 3/6. LCD = 4. Result = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -989 ÷ 327"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -989 by 327. -989 ÷ 327 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 19 = -761"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 30x = -780. Divide by 30: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:25 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/25, so B = A × (25/7) = 12 × 25/7 = 42.8571.\n</reasoning>\nFinal Answer: 42.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 9, 13, 14, 15, 16] and B = [3, 7, 12, 15, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8, 9, 13, 14].\n</reasoning>\nFinal Answer: [2, 8, 9, 13, 14]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 13 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 13 = 182 worker-days. New time = 182 / 9 = 20.2222 days.\n</reasoning>\nFinal Answer: 20.2222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 710 + -762"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 710 and -762: 710 + -762 = -52.\n</reasoning>\nFinal Answer: -52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 30, 69, 39, 28, 52, 80, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 425/8 = 53.125.\n</reasoning>\nFinal Answer: 53.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 6, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (17-1)×6 = 47 + 96 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate: 2^4"
},
{
"role": "assistant",
"content": "<reasoning>\n2^4 = 2 × 2 × 2 × 2 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 11, 13] and B = [2, 9, 11, 13, 14, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 8, 9, 10, 11, 13, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [2, 8, 9, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "175 is what percentage of 377?"
},
{
"role": "assistant",
"content": "<reasoning>\n(175/377) × 100 = 46.4191%.\n</reasoning>\nFinal Answer: 46.4191%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 45 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 21+2025-43=2003.\n</reasoning>\nFinal Answer: 2003"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 30, 94, 45, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 280/5 = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 14 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 6x = 258. Divide by 6: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 54, 42, 59, 32, 39, 97, 33, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 32 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "116 is what percentage of 630?"
},
{
"role": "assistant",
"content": "<reasoning>\n(116/630) × 100 = 18.4127%.\n</reasoning>\nFinal Answer: 18.4127%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 36, 40, 44, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 4. Next term = 48 + 4 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 28 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 2x = -42. Divide by 2: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 27 * 30 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×30=810, then 14+810-48=776.\n</reasoning>\nFinal Answer: 776"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 130 and 111."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(130,111) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -270 + -776"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -270 and -776: -270 + -776 = -1046.\n</reasoning>\nFinal Answer: -1046"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 326 ÷ 975"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 326 by 975. 326 ÷ 975 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 145 and 113."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(145,113) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 165 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 165 × (1 + 75/100) = 165 × 1.75 = 288.75.\n</reasoning>\nFinal Answer: 288.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 545?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 545 = (90/100) × 545 = 490.5.\n</reasoning>\nFinal Answer: 490.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+87) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 42 * 12 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×12=504, then 3+504-47=460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 / 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/11) ÷ (3/5) = (4/11) × (5/3) = 20/33.\n</reasoning>\nFinal Answer: 20/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 60, 61, 6, 3, 85, 60, 80, 23, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 2, 60: 2, 61: 1, 6: 1, 3: 1, 85: 1, 23: 1, 64: 1}. Most frequent: [80, 60].\n</reasoning>\nFinal Answer: [80, 60]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 81, 13, 59, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 59, 59, 81, 87]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 730 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 730 × (1 + 80/100) = 730 × 1.8 = 1314.0.\n</reasoning>\nFinal Answer: 1314.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹861. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 861 × 5/100 = 43.05. Total = 861 + 43.05 = 904.05.\n</reasoning>\nFinal Answer: 904.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 940 - 233"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 233 from 940: 940 - 233 = 707.\n</reasoning>\nFinal Answer: 707"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 8, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (34-1)×8 = 37 + 264 = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 286 + 881"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 286 and 881: 286 + 881 = 1167.\n</reasoning>\nFinal Answer: 1167"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 917?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 917 = (60/100) × 917 = 550.2.\n</reasoning>\nFinal Answer: 550.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 50 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 26+2500-17=2509.\n</reasoning>\nFinal Answer: 2509"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 74, 38, 88, 44, 63, 27, 8, 45, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 74: 1, 38: 1, 88: 1, 44: 1, 63: 1, 27: 1, 8: 1, 45: 1, 61: 1}. Most frequent: [78, 74, 38, 88, 44, 63, 27, 8, 45, 61].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 36 = 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 12x = 192. Divide by 12: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:33 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/33, so B = A × (33/39) = 93 × 33/39 = 78.6923.\n</reasoning>\nFinal Answer: 78.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 12% of 609?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 609 = (12/100) × 609 = 73.08.\n</reasoning>\nFinal Answer: 73.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 14 = 710"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 29x = 696. Divide by 29: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -493 × 703"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -493 by 703: -493 × 703 = -346579.\n</reasoning>\nFinal Answer: -346579"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:9 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/9, so B = A × (9/48) = 62 × 9/48 = 11.625.\n</reasoning>\nFinal Answer: 11.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 9, 17] and B = [1, 4, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 9].\n</reasoning>\nFinal Answer: [5, 6, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 7 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 1x = -8. Divide by 1: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 182 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(182,40) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 66 = 4158.\n</reasoning>\nFinal Answer: 4158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 15 = 690"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 25x = 675. Divide by 25: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/1) ÷ (17/14) = (19/1) × (14/17) = 266/17.\n</reasoning>\nFinal Answer: 266/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 11, 15, 19] and B = [4, 7, 10, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 11, 19].\n</reasoning>\nFinal Answer: [1, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 + 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/14 + 20/5. Common denominator = 7. Result = 34/7.\n</reasoning>\nFinal Answer: 34/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:45 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/45, so B = A × (45/12) = 49 × 45/12 = 183.75.\n</reasoning>\nFinal Answer: 183.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 32) * (6 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+32)=33, (6-1)=5, then 33×5=165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 20 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 17+400-44=373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9646 at 9% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9646 × 9 × 1 / 100 = 868.14.\n</reasoning>\nFinal Answer: 868.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
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