messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 44, 60, 76, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 16. Next term = 92 + 16 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -843 - -503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -503 from -843: -843 - -503 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 31, 14, 50, 50, 10, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 309/7 = 44.1429.\n</reasoning>\nFinal Answer: 44.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Is 143 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n143 = 11 × 13, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = 160. Divide by 10: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -560 ÷ -967"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -560 by -967. -560 ÷ -967 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+1) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 695 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 695 × (1 + 5/100) = 695 × 1.05 = 729.75.\n</reasoning>\nFinal Answer: 729.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 30 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 7+900-31=876.\n</reasoning>\nFinal Answer: 876"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 342 + 780"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 342 and 780: 342 + 780 = 1122.\n</reasoning>\nFinal Answer: 1122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:43 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/43, so B = A × (43/15) = 93 × 43/15 = 266.6.\n</reasoning>\nFinal Answer: 266.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 13 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 13 = 260 worker-days. New time = 260 / 20 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 + 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/4 + 14/9. Common denominator = 36. Result = 83/36.\n</reasoning>\nFinal Answer: 83/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+100) = 2×192 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 665 - -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from 665: 665 - -16 = 681.\n</reasoning>\nFinal Answer: 681"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 / 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/17) ÷ (17/2) = (7/17) × (2/17) = 14/289.\n</reasoning>\nFinal Answer: 14/289"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 29 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+29) × 10 = 175.0.\n</reasoning>\nFinal Answer: 175.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 30 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 30 = 270 worker-days. New time = 270 / 19 = 14.2105 days.\n</reasoning>\nFinal Answer: 14.2105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 874 - -764"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -764 from 874: 874 - -764 = 1638.\n</reasoning>\nFinal Answer: 1638"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 216 + 688"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 216 and 688: 216 + 688 = 904.\n</reasoning>\nFinal Answer: 904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4532 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4532 × 8 × 9 / 100 = 3263.04.\n</reasoning>\nFinal Answer: 3263.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 / 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/18) ÷ (7/5) = (18/18) × (5/7) = 5/7.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 8 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 47/60 = 8.7833 hours. Distance = speed × time = 193 × 8.7833 = 1695.1833 km.\n</reasoning>\nFinal Answer: 1695.1833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 170 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 170 × (1 + 70/100) = 170 × 1.7 = 289.0.\n</reasoning>\nFinal Answer: 289.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -905 mod -767"
},
{
"role": "assistant",
"content": "<reasoning>\n-905 mod -767: -905 = -767 × 1 + -138, so remainder = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 627 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 627 × (1 - 100/100) = 627 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 47, 12, 47, 28, 29, 76, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 47: 2, 12: 1, 28: 1, 29: 1, 76: 1, 13: 1}. Most frequent: 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -910 mod 936"
},
{
"role": "assistant",
"content": "<reasoning>\n-910 mod 936: -910 = 936 × -1 + 26, so remainder = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 250 km apart. Their speeds are 57 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+69=126 km/h. Time = 250/126 = 1.9841 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+50) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 432 mod 261"
},
{
"role": "assistant",
"content": "<reasoning>\n432 mod 261: 432 = 261 × 1 + 171, so remainder = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 - 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/7 - 14/11. LCD = 77. Result = 89/77.\n</reasoning>\nFinal Answer: 89/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 17 = 241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 14x = 224. Divide by 14: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/2 - 3/8. LCD = 8. Result = 65/8.\n</reasoning>\nFinal Answer: 65/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 * 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/3) × (14/20) = (126/60) = 21/10 after simplification.\n</reasoning>\nFinal Answer: 21/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (9)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×1×20 = 1. √discriminant = 1. x = (-(9) ± 1) / (2×1). Solutions: x = -5 or x = -4.\n</reasoning>\nFinal Answer: x = -5 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 16 * 35 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×35=560, then 44+560-13=591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/17 - 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/17 - 6/9. LCD = 51. Result = -10/51.\n</reasoning>\nFinal Answer: -10/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 691 + -114"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 691 and -114: 691 + -114 = 577.\n</reasoning>\nFinal Answer: 577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 138 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 138 × (1 + 25/100) = 138 × 1.25 = 172.5.\n</reasoning>\nFinal Answer: 172.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 42 + 49 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×42=1092 and 49×12=588, then add: 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (44)x + (120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 44² - 4×4×120 = 16. √discriminant = 4. x = (-(44) ± 4) / (2×4). Solutions: x = -6 or x = -5.\n</reasoning>\nFinal Answer: x = -6 or x = -5"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 95, 33, 94, 53, 59, 46, 99, 32, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 95: 1, 33: 1, 94: 1, 53: 1, 59: 1, 46: 1, 99: 1, 32: 1, 35: 1}. Most frequent: [65, 95, 33, 94, 53, 59, 46, 99, 32, 35].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -820 × 483"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -820 by 483: -820 × 483 = -396060.\n</reasoning>\nFinal Answer: -396060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 / 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/19) ÷ (8/6) = (3/19) × (6/8) = 9/76.\n</reasoning>\nFinal Answer: 9/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 287 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 287 × (1 - 5/100) = 287 × 0.95 = 272.65.\n</reasoning>\nFinal Answer: 272.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 9 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 21/60 = 9.3500 hours. Distance = speed × time = 190 × 9.3500 = 1776.5 km.\n</reasoning>\nFinal Answer: 1776.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4124 at 15% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4124 × 15 × 4 / 100 = 2474.4.\n</reasoning>\nFinal Answer: 2474.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 23 = 2208.\n</reasoning>\nFinal Answer: 2208"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 50 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 14+2500-33=2481.\n</reasoning>\nFinal Answer: 2481"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -310 - 338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 338 from -310: -310 - 338 = -648.\n</reasoning>\nFinal Answer: -648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 20, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (25-1)×20 = 16 + 480 = 496.\n</reasoning>\nFinal Answer: 496"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 56, 72, 88, 104]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 16. Next term = 104 + 16 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 11, 12, 13, 15, 17] and B = [7, 8, 16, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 11, 12, 13, 15].\n</reasoning>\nFinal Answer: [1, 5, 11, 12, 13, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -66 mod -868"
},
{
"role": "assistant",
"content": "<reasoning>\n-66 mod -868: -66 = -868 × 0 + -66, so remainder = -66.\n</reasoning>\nFinal Answer: -66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -137 + -897"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -137 and -897: -137 + -897 = -1034.\n</reasoning>\nFinal Answer: -1034"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 24 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 37+576-3=610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 681 mod 434"
},
{
"role": "assistant",
"content": "<reasoning>\n681 mod 434: 681 = 434 × 1 + 247, so remainder = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 34, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 34 + 38 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:23 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/23, so B = A × (23/7) = 79 × 23/7 = 259.5714.\n</reasoning>\nFinal Answer: 259.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/2 + 10/17. Common denominator = 17. Result = 78/17.\n</reasoning>\nFinal Answer: 78/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 181 km/h. How far does it travel in 7 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 37/60 = 7.6167 hours. Distance = speed × time = 181 × 7.6167 = 1378.6167 km.\n</reasoning>\nFinal Answer: 1378.6167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 93, 43, 52, 95, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 14 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 20 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 20 = 60 worker-days. New time = 60 / 16 = 3.75 days.\n</reasoning>\nFinal Answer: 3.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 / 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/10) ÷ (9/14) = (1/10) × (14/9) = 7/45.\n</reasoning>\nFinal Answer: 7/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 413 × 610"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 413 by 610: 413 × 610 = 251930.\n</reasoning>\nFinal Answer: 251930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -248 ÷ -603"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -248 by -603. -248 ÷ -603 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 14 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 14 + 105 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 2 = -158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 10x = -160. Divide by 10: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:49 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/49, so B = A × (49/30) = 25 × 49/30 = 40.8333.\n</reasoning>\nFinal Answer: 40.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/19) × (10/7) = (160/133) = 160/133 after simplification.\n</reasoning>\nFinal Answer: 160/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 409 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 409 × (1 + 50/100) = 409 × 1.5 = 613.5.\n</reasoning>\nFinal Answer: 613.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -7 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 19x = 152. Divide by 19: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 47 = 517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 10x = 470. Divide by 10: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -49 = 39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 4x = 88. Divide by 4: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:36 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/36, so B = A × (36/1) = 39 × 36/1 = 1404.0.\n</reasoning>\nFinal Answer: 1404.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:41 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/41, so B = A × (41/39) = 61 × 41/39 = 64.1282.\n</reasoning>\nFinal Answer: 64.1282"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 11, 12, 13, 15] and B = [5, 7, 8, 10, 11, 14, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 12, 13].\n</reasoning>\nFinal Answer: [1, 6, 12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 19, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (36-1)×19 = 41 + 665 = 706.\n</reasoning>\nFinal Answer: 706"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -410 - -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -229 from -410: -410 - -229 = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 376 km apart. Their speeds are 41 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+63=104 km/h. Time = 376/104 = 3.6154 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 96, 15, 16, 39, 28, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 378/7 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 19 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 6+361-32=335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 23, 53, 38, 54, 24, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 23 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 43 + 25 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×43=860 and 25×39=975, then add: 1835.\n</reasoning>\nFinal Answer: 1835"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 972 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 972 × (1 + 75/100) = 972 × 1.75 = 1701.0.\n</reasoning>\nFinal Answer: 1701.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -8 = -568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 28x = -560. Divide by 28: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 17) * (40 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+17)=50, (40-43)=-3, then 50×-3=-150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 94, 65, 19, 6, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 1 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34198 at 20% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34198 × 20 × 8 / 100 = 54716.8.\n</reasoning>\nFinal Answer: 54716.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 * 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/16) × (7/1) = (140/16) = 35/4 after simplification.\n</reasoning>\nFinal Answer: 35/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -152 - 148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 148 from -152: -152 - 148 = -300.\n</reasoning>\nFinal Answer: -300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -812 + 690"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -812 and 690: -812 + 690 = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -580 mod 426"
},
{
"role": "assistant",
"content": "<reasoning>\n-580 mod 426: -580 = 426 × -2 + 272, so remainder = 272.\n</reasoning>\nFinal Answer: 272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 37 = 987"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 25x = 950. Divide by 25: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+52) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:17 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/17, so B = A × (17/7) = 13 × 17/7 = 31.5714.\n</reasoning>\nFinal Answer: 31.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 609 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 609 × (1 - 30/100) = 609 × 0.7 = 426.3.\n</reasoning>\nFinal Answer: 426.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 488 × 942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 488 by 942: 488 × 942 = 459696.\n</reasoning>\nFinal Answer: 459696"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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