messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [88, 41, 60, 78, 66, 85, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 41: 1, 60: 1, 78: 1, 66: 1, 85: 1, 46: 1}. Most frequent: [88, 41, 60, 78, 66, 85, 46].\n</reasoning>\nFinal Answer: [88, 41, 60, 78, 66, 85... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 65 = 1397.5.\n</reasoning>\nFinal Answer: 1397.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 77, 56, 29, 2, 89, 88, 72, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 525/9 = 58.3333.\n</reasoning>\nFinal Answer: 58.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 596 mod 205"
},
{
"role": "assistant",
"content": "<reasoning>\n596 mod 205: 596 = 205 × 2 + 186, so remainder = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 / 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/4) ÷ (2/19) = (11/4) × (19/2) = 209/8.\n</reasoning>\nFinal Answer: 209/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 8 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 8 = 32 worker-days. New time = 32 / 13 = 2.4615 days.\n</reasoning>\nFinal Answer: 2.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -355 + 733"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -355 and 733: -355 + 733 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 42 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 19+1764-48=1735.\n</reasoning>\nFinal Answer: 1735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -7 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 9x = 279. Divide by 9: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 1 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 31/60 = 1.5167 hours. Distance = speed × time = 187 × 1.5167 = 283.6167 km.\n</reasoning>\nFinal Answer: 283.6167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-12)x + (-96) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×3×-96 = 1296. √discriminant = 36. x = (-(-12) ± 36) / (2×3). Solutions: x = 8 or x = -4.\n</reasoning>\nFinal Answer: x = 8 or x = -4... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 91, 44, 22, 10, 58, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 91: 1, 44: 1, 22: 1, 10: 1, 58: 1, 55: 1}. Most frequent: [30, 91, 44, 22, 10, 58, 55].\n</reasoning>\nFinal Answer: [30, 91, 44, 22, 10, 58... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 24) * (24 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+24)=31, (24-37)=-13, then 31×-13=-403.\n</reasoning>\nFinal Answer: -403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -859 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from -859: -859 - 17 = -876.\n</reasoning>\nFinal Answer: -876"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9826 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9826 × 3 × 4 / 100 = 1179.12.\n</reasoning>\nFinal Answer: 1179.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 185?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 185 = (30/100) × 185 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 1 * 18 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×18=18, then 11+18-40=-11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3286. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3286 × 5/100 = 164.3. Total = 3286 + 164.3 = 3450.3.\n</reasoning>\nFinal Answer: 3450.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×28)/4 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "385 is what percentage of 874?"
},
{
"role": "assistant",
"content": "<reasoning>\n(385/874) × 100 = 44.0503%.\n</reasoning>\nFinal Answer: 44.0503%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 165 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(165,76) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/5 - 20/16. LCD = 20. Result = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 11, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (19-1)×11 = 28 + 198 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 30, 12, 59, 33, 75, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 335/7 = 47.8571.\n</reasoning>\nFinal Answer: 47.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 17) * (8 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+17)=44, (8-8)=0, then 44×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 24 = 288"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 22x = 264. Divide by 22: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 151 km apart. Their speeds are 98 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+86=184 km/h. Time = 151/184 = 0.8207 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 4, 65, 94, 89, 47, 58, 18, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 4: 1, 65: 1, 94: 1, 89: 1, 47: 1, 58: 1, 18: 1, 84: 1}. Most frequent: [51, 4, 65, 94, 89, 47, 58, 18, 84].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 - 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/18 - 7/1. LCD = 6. Result = -37/6.\n</reasoning>\nFinal Answer: -37/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 32 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 39+1024-38=1025.\n</reasoning>\nFinal Answer: 1025"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -25 = -1221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 26x = -1196. Divide by 26: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 100 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 100 × 63 = 6300.\n</reasoning>\nFinal Answer: 6300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 1, 17, 46, 94, 60, 6, 100, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 1: 1, 17: 1, 46: 1, 94: 1, 60: 1, 6: 1, 100: 1, 84: 1}. Most frequent: [95, 1, 17, 46, 94, 60, 6, 100, 84].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (54)x + (243) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 54² - 4×3×243 = 0. √discriminant = 0. x = (-(54) ± 0) / (2×3). Solutions: x = -9 (double root).\n</reasoning>\nFinal Answer: x = -9 (double roo... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -937 ÷ 145"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -937 by 145. -937 ÷ 145 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 335 - 575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 575 from 335: 335 - 575 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 7 = -653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 22x = -660. Divide by 22: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 5 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 5 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -10 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 17x = -170. Divide by 17: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 66 = 4290.\n</reasoning>\nFinal Answer: 4290"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 20 = -113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 7x = -133. Divide by 7: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -105 mod -517"
},
{
"role": "assistant",
"content": "<reasoning>\n-105 mod -517: -105 = -517 × 0 + -105, so remainder = -105.\n</reasoning>\nFinal Answer: -105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -28 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 13x = 52. Divide by 13: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 536 mod 873"
},
{
"role": "assistant",
"content": "<reasoning>\n536 mod 873: 536 = 873 × 0 + 536, so remainder = 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 - 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/14 - 4/10. LCD = 35. Result = 36/35.\n</reasoning>\nFinal Answer: 36/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -895 mod 388"
},
{
"role": "assistant",
"content": "<reasoning>\n-895 mod 388: -895 = 388 × -3 + 269, so remainder = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 852 ÷ 631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 852 by 631. 852 ÷ 631 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 17, 99, 14, 73, 76, 19, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 17: 1, 99: 1, 14: 1, 73: 1, 76: 1, 19: 1, 62: 1}. Most frequent: [84, 17, 99, 14, 73, 76, 19, 62].\n</reasoning>\nFinal Answer: [84, 17,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -1 = -697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 29x = -696. Divide by 29: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 42 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 42 × (1 - 3/100) = 42 × 0.97 = 40.74.\n</reasoning>\nFinal Answer: 40.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 77 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(77+62) = 2×139 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 41, 55, 70, 72, 79, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 14 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "162 is what percentage of 380?"
},
{
"role": "assistant",
"content": "<reasoning>\n(162/380) × 100 = 42.6316%.\n</reasoning>\nFinal Answer: 42.6316%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:16 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/16, so B = A × (16/40) = 66 × 16/40 = 26.4.\n</reasoning>\nFinal Answer: 26.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:24 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/24, so B = A × (24/35) = 66 × 24/35 = 45.2571.\n</reasoning>\nFinal Answer: 45.2571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -627 - 229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 229 from -627: -627 - 229 = -856.\n</reasoning>\nFinal Answer: -856"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 + 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/16 + 18/5. Common denominator = 80. Result = 343/80.\n</reasoning>\nFinal Answer: 343/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 - 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/1 - 1/2. LCD = 2. Result = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -57 × 642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -57 by 642: -57 × 642 = -36594.\n</reasoning>\nFinal Answer: -36594"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -13 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 3x = 39. Divide by 3: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39162 at 4% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39162 × 4 × 5 / 100 = 7832.4.\n</reasoning>\nFinal Answer: 7832.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11021 at 4% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11021 × 4 × 2 / 100 = 881.68.\n</reasoning>\nFinal Answer: 881.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 18 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 17x = -255. Divide by 17: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/2) × (3/12) = (30/24) = 5/4 after simplification.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 236 ÷ -873"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 236 by -873. 236 ÷ -873 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 492 km apart. Their speeds are 62 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+77=139 km/h. Time = 492/139 = 3.5396 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 + 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/3 + 11/7. Common denominator = 7. Result = 25/7.\n</reasoning>\nFinal Answer: 25/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -692 - 89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 89 from -692: -692 - 89 = -781.\n</reasoning>\nFinal Answer: -781"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 116 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 116 + 89 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+24) = 2×51 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 824 + -89"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 824 and -89: 824 + -89 = 735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -16 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 9x = 288. Divide by 9: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -201 + 174"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -201 and 174: -201 + 174 = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 61, 13, 62, 1, 23, 81, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "42 is what percentage of 63?"
},
{
"role": "assistant",
"content": "<reasoning>\n(42/63) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37583 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37583 × 16 × 8 / 100 = 48106.24.\n</reasoning>\nFinal Answer: 48106.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 477 mod -417"
},
{
"role": "assistant",
"content": "<reasoning>\n477 mod -417: 477 = -417 × -2 + -357, so remainder = -357.\n</reasoning>\nFinal Answer: -357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 2 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -654 + -710"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -654 and -710: -654 + -710 = -1364.\n</reasoning>\nFinal Answer: -1364"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 45, 92, 67, 43, 7, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 7 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 34 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 9+1156-25=1140.\n</reasoning>\nFinal Answer: 1140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 74, 26, 21, 88, 62, 71, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 21 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 23 = -835"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 26x = -858. Divide by 26: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -730 - 649"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 649 from -730: -730 - 649 = -1379.\n</reasoning>\nFinal Answer: -1379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 12 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 12 = 60 worker-days. New time = 60 / 14 = 4.2857 days.\n</reasoning>\nFinal Answer: 4.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2539. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2539 × 12/100 = 304.68. Total = 2539 + 304.68 = 2843.68.\n</reasoning>\nFinal Answer: 2843.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 7 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 27/60 = 7.4500 hours. Distance = speed × time = 126 × 7.4500 = 938.7 km.\n</reasoning>\nFinal Answer: 938.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 532 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 532 × (1 + 12/100) = 532 × 1.12 = 595.84.\n</reasoning>\nFinal Answer: 595.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/10 - 4/17. LCD = 85. Result = 116/85.\n</reasoning>\nFinal Answer: 116/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 45 + 40 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×45=1125 and 40×3=120, then add: 1245.\n</reasoning>\nFinal Answer: 1245"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 317 + -483"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 317 and -483: 317 + -483 = -166.\n</reasoning>\nFinal Answer: -166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -358 × -348"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -358 by -348: -358 × -348 = 124584.\n</reasoning>\nFinal Answer: 124584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 94 = 1504.\n</reasoning>\nFinal Answer: 1504"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:33 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/33, so B = A × (33/28) = 65 × 33/28 = 76.6071.\n</reasoning>\nFinal Answer: 76.6071"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 40, 38, 86, 75, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 324/6 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:41 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/41, so B = A × (41/2) = 12 × 41/2 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -944 + 912"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -944 and 912: -944 + 912 = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 11 = 531"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 13x = 520. Divide by 13: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 89, 91, 98, 81, 46, 74, 28, 99, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 89: 1, 91: 1, 98: 1, 81: 1, 46: 1, 74: 1, 28: 1, 99: 1, 75: 1}. Most frequent: [96, 89, 91, 98, 81, 46, 74, 28, 99, 75].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 25, 73, 98, 18, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 25, 31, 72, 73, 98]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
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