messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 22x + -25 = -641"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 22x = -616. Divide by 22: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:49 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/49, so B = A × (49/2) = 68 × 49/2 = 1666.0.\n</reasoning>\nFinal Answer: 1666.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 - 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/10 - 13/18. LCD = 90. Result = 79/90.\n</reasoning>\nFinal Answer: 79/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 + 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/11 + 16/11. Common denominator = 11. Result = 28/11.\n</reasoning>\nFinal Answer: 28/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 1 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 57/60 = 1.9500 hours. Distance = speed × time = 146 × 1.9500 = 284.7 km.\n</reasoning>\nFinal Answer: 284.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [77, 45, 66, 14, 82, 50, 94, 34, 8, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 45: 1, 66: 1, 14: 1, 82: 1, 50: 1, 94: 1, 34: 1, 8: 1, 62: 1}. Most frequent: [77, 45, 66, 14, 82, 50, 94, 34, 8, 62].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 177 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(177,24) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (13/7) = (11/12) × (7/13) = 77/156.\n</reasoning>\nFinal Answer: 77/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 34, 22, 62, 78, 38, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 34: 1, 22: 1, 62: 1, 78: 1, 38: 1, 29: 1}. Most frequent: [57, 34, 22, 62, 78, 38, 29].\n</reasoning>\nFinal Answer: [57, 34, 22, 62, 78, 38... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 82 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 82 × 47 = 3854.\n</reasoning>\nFinal Answer: 3854"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 134 × 942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 134 by 942: 134 × 942 = 126228.\n</reasoning>\nFinal Answer: 126228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -45 = 1062"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 27x = 1107. Divide by 27: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -590 × 86"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -590 by 86: -590 × 86 = -50740.\n</reasoning>\nFinal Answer: -50740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -11 = -137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 21x = -126. Divide by 21: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 448 - -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -730 from 448: 448 - -730 = 1178.\n</reasoning>\nFinal Answer: 1178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 17, 23, 74, 16, 70, 97, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 394/8 = 49.25.\n</reasoning>\nFinal Answer: 49.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 80% of 613?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 613 = (80/100) × 613 = 490.4.\n</reasoning>\nFinal Answer: 490.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (4/3) = (11/12) × (3/4) = 11/16.\n</reasoning>\nFinal Answer: 11/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 970?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 970 = (100/100) × 970 = 970.0.\n</reasoning>\nFinal Answer: 970.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×45)/9 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 5 + 25 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×5=45 and 25×43=1075, then add: 1120.\n</reasoning>\nFinal Answer: 1120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 1 * 13 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×13=13, then 33+13-21=25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 196 × -127"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 196 by -127: 196 × -127 = -24892.\n</reasoning>\nFinal Answer: -24892"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -234 mod -199"
},
{
"role": "assistant",
"content": "<reasoning>\n-234 mod -199: -234 = -199 × 1 + -35, so remainder = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 128 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 26 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 26 = 208 worker-days. New time = 208 / 18 = 11.5556 days.\n</reasoning>\nFinal Answer: 11.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 20 = -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 12x = -180. Divide by 12: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 38 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 9x = 45. Divide by 9: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:10 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/10, so B = A × (10/36) = 31 × 10/36 = 8.6111.\n</reasoning>\nFinal Answer: 8.6111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:11 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/11, so B = A × (11/22) = 24 × 11/22 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 100 = 1900.\n</reasoning>\nFinal Answer: 1900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 38 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+38) × 7 = 206.5.\n</reasoning>\nFinal Answer: 206.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+100) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 44 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 39+1936-32=1943.\n</reasoning>\nFinal Answer: 1943"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 17 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 2x = 92. Divide by 2: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 20 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 20 = 160 worker-days. New time = 160 / 14 = 11.4286 days.\n</reasoning>\nFinal Answer: 11.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 99 = 5841.\n</reasoning>\nFinal Answer: 5841"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 64, 78, 92, 106]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 14. Next term = 106 + 14 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -599 + -537"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -599 and -537: -599 + -537 = -1136.\n</reasoning>\nFinal Answer: -1136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 42 = 1008.0.\n</reasoning>\nFinal Answer: 1008.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 32, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 32 + 33 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:2 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/2, so B = A × (2/45) = 99 × 2/45 = 4.4.\n</reasoning>\nFinal Answer: 4.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 769 ÷ 783"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 769 by 783. 769 ÷ 783 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 129 km/h. How far does it travel in 5 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 51/60 = 5.8500 hours. Distance = speed × time = 129 × 5.8500 = 754.65 km.\n</reasoning>\nFinal Answer: 754.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 88, 74, 28, 88, 88, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 28 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23189 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23189 × 10 × 4 / 100 = 9275.6.\n</reasoning>\nFinal Answer: 9275.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2052. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2052 × 28/100 = 574.56. Total = 2052 + 574.56 = 2626.56.\n</reasoning>\nFinal Answer: 2626.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38853 at 19% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38853 × 19 × 1 / 100 = 7382.07.\n</reasoning>\nFinal Answer: 7382.07"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -34 = 306"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 17x = 340. Divide by 17: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 19) * (38 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+19)=49, (38-44)=-6, then 49×-6=-294.\n</reasoning>\nFinal Answer: -294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20586 at 13% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20586 × 13 × 9 / 100 = 24085.62.\n</reasoning>\nFinal Answer: 24085.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:44 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/44, so B = A × (44/28) = 61 × 44/28 = 95.8571.\n</reasoning>\nFinal Answer: 95.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 35) * (10 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+35)=42, (10-41)=-31, then 42×-31=-1302.\n</reasoning>\nFinal Answer: -1302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "56 is what percentage of 91?"
},
{
"role": "assistant",
"content": "<reasoning>\n(56/91) × 100 = 61.5385%.\n</reasoning>\nFinal Answer: 61.5385%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -27 = 213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 30x = 240. Divide by 30: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 675 - -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -205 from 675: 675 - -205 = 880.\n</reasoning>\nFinal Answer: 880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 * 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/9) × (9/10) = (36/90) = 2/5 after simplification.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 71 = 1065.\n</reasoning>\nFinal Answer: 1065"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 233 km apart. Their speeds are 59 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+96=155 km/h. Time = 233/155 = 1.5032 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:22 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/22, so B = A × (22/20) = 26 × 22/20 = 28.6.\n</reasoning>\nFinal Answer: 28.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 + 3/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/20 + 3/18. Common denominator = 30. Result = 13/15.\n</reasoning>\nFinal Answer: 13/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 61."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 61 by smallest primes repeatedly: 61 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:45 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/45, so B = A × (45/8) = 17 × 45/8 = 95.625.\n</reasoning>\nFinal Answer: 95.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 32 * 17 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×17=544, then 24+544-44=524.\n</reasoning>\nFinal Answer: 524"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 33 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(33+55) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×22)/2 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 71, 79, 39, 2, 51, 7, 56, 77, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 12, 39, 51, 56, 71, 77, 79, 85]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -749 × -325"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -749 by -325: -749 × -325 = 243425.\n</reasoning>\nFinal Answer: 243425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 833 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 833 × (1 - 17/100) = 833 × 0.83 = 691.39.\n</reasoning>\nFinal Answer: 691.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 1 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,120) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 19 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 19 = 228 worker-days. New time = 228 / 15 = 15.2 days.\n</reasoning>\nFinal Answer: 15.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -33 = 201"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [9, 17, 19] and B = [5, 8, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 17, 19].\n</reasoning>\nFinal Answer: [9, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:28 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/28, so B = A × (28/28) = 78 × 28/28 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 8 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 8 = 128 worker-days. New time = 128 / 14 = 9.1429 days.\n</reasoning>\nFinal Answer: 9.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 11 * 45 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×45=495, then 10+495-6=499.\n</reasoning>\nFinal Answer: 499"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -326 ÷ 453"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -326 by 453. -326 ÷ 453 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 35) * (39 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+35)=51, (39-40)=-1, then 51×-1=-51.\n</reasoning>\nFinal Answer: -51"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 28) * (38 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+28)=68, (38-3)=35, then 68×35=2380.\n</reasoning>\nFinal Answer: 2380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 803 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 803 × (1 + 10/100) = 803 × 1.1 = 883.3.\n</reasoning>\nFinal Answer: 883.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 60% of 427?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 427 = (60/100) × 427 = 256.2.\n</reasoning>\nFinal Answer: 256.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 390?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 390 = (65/100) × 390 = 253.5.\n</reasoning>\nFinal Answer: 253.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46867 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46867 × 4 × 1 / 100 = 1874.68.\n</reasoning>\nFinal Answer: 1874.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 888 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 888 × (1 - 70/100) = 888 × 0.30000000000000004 = 266.4.\n</reasoning>\nFinal Answer: 266.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 623 mod -894"
},
{
"role": "assistant",
"content": "<reasoning>\n623 mod -894: 623 = -894 × -1 + -271, so remainder = -271.\n</reasoning>\nFinal Answer: -271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 736 ÷ 973"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 736 by 973. 736 ÷ 973 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 7, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (14-1)×7 = 6 + 91 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 63, 99, 86, 8, 33, 97, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/8 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 18, 40, 80, 89, 37, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 18 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -50 = -106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 2x = -56. Divide by 2: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 25, 19, 18, 31, 63, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 244/7 = 34.8571.\n</reasoning>\nFinal Answer: 34.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 / 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/17) ÷ (16/3) = (19/17) × (3/16) = 57/272.\n</reasoning>\nFinal Answer: 57/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 3 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 58/60 = 3.9667 hours. Distance = speed × time = 126 × 3.9667 = 499.8 km.\n</reasoning>\nFinal Answer: 499.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -908 - 557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 557 from -908: -908 - 557 = -1465.\n</reasoning>\nFinal Answer: -1465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×27)/3 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 + 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/20 + 9/4. Common denominator = 4. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -44 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 10x = 310. Divide by 10: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 4, 7, 8, 11] and B = [3, 4, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 4].\n</reasoning>\nFinal Answer: [3, 4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:48 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/48, so B = A × (48/22) = 60 × 48/22 = 130.9091.\n</reasoning>\nFinal Answer: 130.9091"
}
] | medium | [
"ratio",
"proportion"
] |
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