messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 26:50 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/50, so B = A × (50/26) = 72 × 50/26 = 138.4615.\n</reasoning>\nFinal Answer: 138.4615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 80, 98, 57, 84, 42, 25, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/8 = 60.75.\n</reasoning>\nFinal Answer: 60.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 169 mod 698"
},
{
"role": "assistant",
"content": "<reasoning>\n169 mod 698: 169 = 698 × 0 + 169, so remainder = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 23 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 23 × 77 = 1771.\n</reasoning>\nFinal Answer: 1771"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 48 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 46, 35, 97, 84, 2, 46, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 46: 2, 35: 1, 97: 1, 84: 1, 2: 1, 49: 1}. Most frequent: 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹419. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 419 × 28/100 = 117.32. Total = 419 + 117.32 = 536.32.\n</reasoning>\nFinal Answer: 536.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 53, 12, 8, 38, 98, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 53: 1, 12: 1, 8: 1, 38: 1, 98: 1, 55: 1}. Most frequent: [21, 53, 12, 8, 38, 98, 55].\n</reasoning>\nFinal Answer: [21, 53, 12, 8, 38, 98, 55... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 28 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 3x = 63. Divide by 3: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 2) * (48 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+2)=33, (48-1)=47, then 33×47=1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 8 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 876 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 876 × (1 - 80/100) = 876 × 0.19999999999999996 = 175.2.\n</reasoning>\nFinal Answer: 175.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 660 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 660 × (1 - 15/100) = 660 × 0.85 = 561.0.\n</reasoning>\nFinal Answer: 561.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹110. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 110 × 18/100 = 19.8. Total = 110 + 19.8 = 129.8.\n</reasoning>\nFinal Answer: 129.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 15 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 21+225-24=222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:13 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/13, so B = A × (13/34) = 21 × 13/34 = 8.0294.\n</reasoning>\nFinal Answer: 8.0294"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -44 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 9x = 153. Divide by 9: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 730 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 730 × (1 + 25/100) = 730 × 1.25 = 912.5.\n</reasoning>\nFinal Answer: 912.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 * 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/15) × (16/12) = (208/180) = 52/45 after simplification.\n</reasoning>\nFinal Answer: 52/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 19 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 19 = 342 worker-days. New time = 342 / 2 = 171.0 days.\n</reasoning>\nFinal Answer: 171.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 98 = 8428.\n</reasoning>\nFinal Answer: 8428"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 121 and 77."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(121,77) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 40 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 3x = 45. Divide by 3: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 6, 36, 68, 16, 54, 70, 50, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 6: 1, 36: 2, 68: 1, 16: 1, 54: 1, 70: 1, 50: 1}. Most frequent: 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (7/2) = (17/7) × (2/7) = 34/49.\n</reasoning>\nFinal Answer: 34/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 36 = -440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 14x = -476. Divide by 14: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 2 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (8/9) = (72/171) = 8/19 after simplification.\n</reasoning>\nFinal Answer: 8/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 7 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 40/60 = 7.6667 hours. Distance = speed × time = 69 × 7.6667 = 529.0 km.\n</reasoning>\nFinal Answer: 529.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 13, 14] and B = [3, 4, 5, 9, 13, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 6, 8, 9, 15].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 19, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (10-1)×19 = 31 + 171 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 272 + -405"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 272 and -405: 272 + -405 = -133.\n</reasoning>\nFinal Answer: -133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 35 * 26 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×26=910, then 46+910-22=934.\n</reasoning>\nFinal Answer: 934"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 3 = -683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 14x = -686. Divide by 14: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 10 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 is what percentage of 83?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/83) × 100 = 20.4819%.\n</reasoning>\nFinal Answer: 20.4819%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 303 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 303 × (1 + 90/100) = 303 × 1.9 = 575.7.\n</reasoning>\nFinal Answer: 575.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 86 = 3053.0.\n</reasoning>\nFinal Answer: 3053.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 44 = 764"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 16x = 720. Divide by 16: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [90, 23, 34, 82, 42, 63, 50, 69, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {90: 1, 23: 1, 34: 1, 82: 1, 42: 1, 63: 1, 50: 1, 69: 1, 40: 1}. Most frequent: [90, 23, 34, 82, 42, 63, 50, 69, 40].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "42 is what percentage of 118?"
},
{
"role": "assistant",
"content": "<reasoning>\n(42/118) × 100 = 35.5932%.\n</reasoning>\nFinal Answer: 35.5932%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 75% of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 488 = (75/100) × 488 = 366.0.\n</reasoning>\nFinal Answer: 366.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 279 + -372"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 279 and -372: 279 + -372 = -93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 - 6/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/8 - 6/1. LCD = 4. Result = -19/4.\n</reasoning>\nFinal Answer: -19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 41 * 34 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×34=1394, then 8+1394-4=1398.\n</reasoning>\nFinal Answer: 1398"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 7 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 7 = 49 worker-days. New time = 49 / 17 = 2.8824 days.\n</reasoning>\nFinal Answer: 2.8824"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 61, 71, 46, 31, 64, 98, 37, 39, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 61: 1, 71: 1, 46: 1, 31: 1, 64: 1, 98: 1, 37: 1, 39: 1, 66: 1}. Most frequent: [60, 61, 71, 46, 31, 64, 98, 37, 39, 66].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 5 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 57/60 = 5.9500 hours. Distance = speed × time = 91 × 5.9500 = 541.45 km.\n</reasoning>\nFinal Answer: 541.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 102 ÷ -837"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 102 by -837. 102 ÷ -837 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -959 + 264"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -959 and 264: -959 + 264 = -695.\n</reasoning>\nFinal Answer: -695"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "42 is what percentage of 157?"
},
{
"role": "assistant",
"content": "<reasoning>\n(42/157) × 100 = 26.7516%.\n</reasoning>\nFinal Answer: 26.7516%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 64, 23, 40, 47, 34, 11, 91, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 64: 1, 23: 1, 40: 1, 47: 1, 34: 1, 11: 1, 91: 1, 17: 1}. Most frequent: [29, 64, 23, 40, 47, 34, 11, 91, 17].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 1 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 29x = 58. Divide by 29: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 38, 36, 54, 17, 85, 71, 4, 95, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 500/10 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 15, 16, 18, 19] and B = [1, 4, 5, 6, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 6, 7, 8, 12, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 5, 6, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:37 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/37, so B = A × (37/21) = 55 × 37/21 = 96.9048.\n</reasoning>\nFinal Answer: 96.9048"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1600. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1600 × 28/100 = 448.0. Total = 1600 + 448.0 = 2048.0.\n</reasoning>\nFinal Answer: 2048.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×6)/3 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 + 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/20 + 18/11. Common denominator = 44. Result = 105/44.\n</reasoning>\nFinal Answer: 105/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 11 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 11 = 110 worker-days. New time = 110 / 4 = 27.5 days.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -706 + 598"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -706 and 598: -706 + 598 = -108.\n</reasoning>\nFinal Answer: -108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 73, 57, 18, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 7 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -262 - -290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -290 from -262: -262 - -290 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 11 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 49/60 = 11.8167 hours. Distance = speed × time = 153 × 11.8167 = 1807.95 km.\n</reasoning>\nFinal Answer: 1807.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 38 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+38) × 26 = 949.0.\n</reasoning>\nFinal Answer: 949.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 308 km apart. Their speeds are 72 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+110=182 km/h. Time = 308/182 = 1.6923 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 32 = 846"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 22x = 814. Divide by 22: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 / 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/19) ÷ (9/10) = (17/19) × (10/9) = 170/171.\n</reasoning>\nFinal Answer: 170/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 837 mod 594"
},
{
"role": "assistant",
"content": "<reasoning>\n837 mod 594: 837 = 594 × 1 + 243, so remainder = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 779 mod 493"
},
{
"role": "assistant",
"content": "<reasoning>\n779 mod 493: 779 = 493 × 1 + 286, so remainder = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 435 km apart. Their speeds are 96 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+88=184 km/h. Time = 435/184 = 2.3641 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 19 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 241 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 241 × (1 + 40/100) = 241 × 1.4 = 337.4.\n</reasoning>\nFinal Answer: 337.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 33 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 21+1089-48=1062.\n</reasoning>\nFinal Answer: 1062"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 25 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 9x = -234. Divide by 9: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 140 km apart. Their speeds are 47 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+98=145 km/h. Time = 140/145 = 0.9655 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -838 + -825"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -838 and -825: -838 + -825 = -1663.\n</reasoning>\nFinal Answer: -1663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 2 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 6x = 96. Divide by 6: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "401 is what percentage of 446?"
},
{
"role": "assistant",
"content": "<reasoning>\n(401/446) × 100 = 89.9103%.\n</reasoning>\nFinal Answer: 89.9103%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 37, 68, 64, 95, 99, 11, 19, 7, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 7 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "642 is what percentage of 866?"
},
{
"role": "assistant",
"content": "<reasoning>\n(642/866) × 100 = 74.1339%.\n</reasoning>\nFinal Answer: 74.1339%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 481 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 481 × (1 + 17/100) = 481 × 1.17 = 562.77.\n</reasoning>\nFinal Answer: 562.77"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 534?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 534 = (7/100) × 534 = 37.38.\n</reasoning>\nFinal Answer: 37.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:5 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/5, so B = A × (5/12) = 72 × 5/12 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 717 × 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 717 by 1: 717 × 1 = 717.\n</reasoning>\nFinal Answer: 717"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 409 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 409 × (1 - 40/100) = 409 × 0.6 = 245.4.\n</reasoning>\nFinal Answer: 245.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 13 * 26 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×26=338, then 35+338-43=330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/5) ÷ (6/14) = (13/5) × (14/6) = 91/15.\n</reasoning>\nFinal Answer: 91/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 101 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 101 × (1 + 90/100) = 101 × 1.9 = 191.9.\n</reasoning>\nFinal Answer: 191.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 16 = 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 28x = 336. Divide by 28: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 6/12. Common denominator = 30. Result = 37/30.\n</reasoning>\nFinal Answer: 37/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -3 = 497"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -1 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 10x = 500. Divide by 10: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 1 = 783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 23x = 782. Divide by 23: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 98 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 98 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -708 - 197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 197 from -708: -708 - 197 = -905.\n</reasoning>\nFinal Answer: -905"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 11 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 52/60 = 11.8667 hours. Distance = speed × time = 100 × 11.8667 = 1186.6667 km.\n</reasoning>\nFinal Answer: 1186.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 548 mod 305"
},
{
"role": "assistant",
"content": "<reasoning>\n548 mod 305: 548 = 305 × 1 + 243, so remainder = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 39 = 1989.\n</reasoning>\nFinal Answer: 1989"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 9 = -1151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 29x = -1160. Divide by 29: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
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