messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 30x + 19 = 889"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 30x = 870. Divide by 30: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 80, 1, 15, 21, 26, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 237/7 = 33.8571.\n</reasoning>\nFinal Answer: 33.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 1 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 43/60 = 1.7167 hours. Distance = speed × time = 157 × 1.7167 = 269.5167 km.\n</reasoning>\nFinal Answer: 269.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 270 ÷ -16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 270 by -16. 270 ÷ -16 = -17 (integer division).\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "39 is what percentage of 243?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/243) × 100 = 16.0494%.\n</reasoning>\nFinal Answer: 16.0494%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:50 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/50, so B = A × (50/11) = 8 × 50/11 = 36.3636.\n</reasoning>\nFinal Answer: 36.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 9, 60, 16, 24, 69, 54, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 16, 24, 47, 54, 55, 60, 69]. Middle value(s) → median = 50.5.\n</reasoning>\nFinal Answer: 50.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 20 = 1460.\n</reasoning>\nFinal Answer: 1460"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (11/16) = (18/9) × (16/11) = 32/11.\n</reasoning>\nFinal Answer: 32/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 18 * 45 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×45=810, then 40+810-43=807.\n</reasoning>\nFinal Answer: 807"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 3 and 121."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(3,121) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2928. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2928 × 18/100 = 527.04. Total = 2928 + 527.04 = 3455.04.\n</reasoning>\nFinal Answer: 3455.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 35 * 7 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×7=245, then 42+245-6=281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 991 mod -495"
},
{
"role": "assistant",
"content": "<reasoning>\n991 mod -495: 991 = -495 × -3 + -494, so remainder = -494.\n</reasoning>\nFinal Answer: -494"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 38, 63, 52, 49, 6, 37, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 12, 37, 38, 49, 52, 63]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 50 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+50) × 15 = 637.5.\n</reasoning>\nFinal Answer: 637.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 89, 19, 100, 18, 38, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 2, 19: 1, 100: 1, 18: 1, 38: 1, 95: 1}. Most frequent: 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "158 is what percentage of 984?"
},
{
"role": "assistant",
"content": "<reasoning>\n(158/984) × 100 = 16.0569%.\n</reasoning>\nFinal Answer: 16.0569%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 17% of 222?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 222 = (17/100) × 222 = 37.74.\n</reasoning>\nFinal Answer: 37.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 78 = 3276.\n</reasoning>\nFinal Answer: 3276"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 - 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/16 - 19/9. LCD = 144. Result = -295/144.\n</reasoning>\nFinal Answer: -295/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -29 = -1109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 30x = -1080. Divide by 30: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -215 mod 179"
},
{
"role": "assistant",
"content": "<reasoning>\n-215 mod 179: -215 = 179 × -2 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 34 + 27 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×34=782 and 27×17=459, then add: 1241.\n</reasoning>\nFinal Answer: 1241"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 39, 45, 51, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 6. Next term = 57 + 6 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 74, 64, 89, 6, 32, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 6 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 6 * 48 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×48=288, then 44+288-29=303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 26 * 23 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×23=598, then 29+598-50=577.\n</reasoning>\nFinal Answer: 577"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:20 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/20, so B = A × (20/44) = 74 × 20/44 = 33.6364.\n</reasoning>\nFinal Answer: 33.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -17 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 22x = 264. Divide by 22: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 4 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 50, 14, 28, 63, 46, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 21, 28, 46, 50, 63, 94]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 188 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 188 = 381.\n</reasoning>\nFinal Answer: 381"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 18, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (13-1)×18 = 45 + 216 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -585 - -799"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -799 from -585: -585 - -799 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 44 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 20+1936-38=1918.\n</reasoning>\nFinal Answer: 1918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 / 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/4) ÷ (16/3) = (20/4) × (3/16) = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -29 = 400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 13x = 429. Divide by 13: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "333 is what percentage of 575?"
},
{
"role": "assistant",
"content": "<reasoning>\n(333/575) × 100 = 57.913%.\n</reasoning>\nFinal Answer: 57.913%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 13, 88, 3, 55, 58, 41, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 374/8 = 46.75.\n</reasoning>\nFinal Answer: 46.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 98, 97, 20, 93, 48, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 13 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 784 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 784 × (1 - 25/100) = 784 × 0.75 = 588.0.\n</reasoning>\nFinal Answer: 588.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-5)x + (-14) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×1×-14 = 81. √discriminant = 9. x = (-(-5) ± 9) / (2×1). Solutions: x = 7 or x = -2.\n</reasoning>\nFinal Answer: x = 7 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [2, 13, 19] and B = [1, 2, 6, 7, 9, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 8 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 8 = 144 worker-days. New time = 144 / 3 = 48.0 days.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 807 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 807 × (1 + 3/100) = 807 × 1.03 = 831.21.\n</reasoning>\nFinal Answer: 831.21"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 198 apples and buys 104 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 198 + 104 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 * 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/6) × (10/8) = (160/48) = 10/3 after simplification.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 + 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/12 + 9/5. Common denominator = 15. Result = 52/15.\n</reasoning>\nFinal Answer: 52/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 598 km apart. Their speeds are 109 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+99=208 km/h. Time = 598/208 = 2.875 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 + 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/13 + 13/1. Common denominator = 1. Result = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -906 ÷ -703"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -906 by -703. -906 ÷ -703 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -370 ÷ 184"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -370 by 184. -370 ÷ 184 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 18 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 18 = 306 worker-days. New time = 306 / 18 = 17.0 days.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 769 + 754"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 769 and 754: 769 + 754 = 1523.\n</reasoning>\nFinal Answer: 1523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 905 km apart. Their speeds are 114 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+114=228 km/h. Time = 905/228 = 3.9693 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -703 ÷ -984"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -703 by -984. -703 ÷ -984 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 10, 12, 16, 17] and B = [7, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -59 ÷ 974"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -59 by 974. -59 ÷ 974 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 2) * (39 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+2)=29, (39-32)=7, then 29×7=203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 33 ÷ 337"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 33 by 337. 33 ÷ 337 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 3, 53, 34, 84, 90, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 22, 34, 46, 53, 84, 90]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:30 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/30, so B = A × (30/16) = 65 × 30/16 = 121.875.\n</reasoning>\nFinal Answer: 121.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 53, 61, 69, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 8. Next term = 77 + 8 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 7 = -1095"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 29x = -1102. Divide by 29: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 331 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 331 × (1 + 45/100) = 331 × 1.45 = 479.95.\n</reasoning>\nFinal Answer: 479.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×25)/1 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -489 mod -38"
},
{
"role": "assistant",
"content": "<reasoning>\n-489 mod -38: -489 = -38 × 12 + -33, so remainder = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "324 is what percentage of 432?"
},
{
"role": "assistant",
"content": "<reasoning>\n(324/432) × 100 = 75.0%.\n</reasoning>\nFinal Answer: 75.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×6)/1 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 266 + 691"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 266 and 691: 266 + 691 = 957.\n</reasoning>\nFinal Answer: 957"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 6, 9, 12, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 3. Next term = 15 + 3 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 94 = 564.\n</reasoning>\nFinal Answer: 564"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -344 ÷ 908"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -344 by 908. -344 ÷ 908 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 61, 53, 48, 44, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 61: 1, 53: 1, 48: 2, 44: 1}. Most frequent: 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 6 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 11, 12] and B = [5, 6, 8, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 11, 12].\n</reasoning>\nFinal Answer: [2, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 70 + 797"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 70 and 797: 70 + 797 = 867.\n</reasoning>\nFinal Answer: 867"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 72, 82, 40, 63, 58, 89, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 38, 40, 58, 63, 72, 82, 89]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 36 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+36) × 45 = 1800.0.\n</reasoning>\nFinal Answer: 1800.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 13 * 49 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×49=637, then 45+637-10=672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "621 is what percentage of 699?"
},
{
"role": "assistant",
"content": "<reasoning>\n(621/699) × 100 = 88.8412%.\n</reasoning>\nFinal Answer: 88.8412%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 27 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 27 = 189 worker-days. New time = 189 / 10 = 18.9 days.\n</reasoning>\nFinal Answer: 18.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 25 = 650.0.\n</reasoning>\nFinal Answer: 650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 25, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 25 + 27 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -340 × -585"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -340 by -585: -340 × -585 = 198900.\n</reasoning>\nFinal Answer: 198900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 16, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 16 + 20 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 64 = 6144.\n</reasoning>\nFinal Answer: 6144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3087. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3087 × 28/100 = 864.36. Total = 3087 + 864.36 = 3951.36.\n</reasoning>\nFinal Answer: 3951.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -44 = -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 25x = -525. Divide by 25: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 105 km apart. Their speeds are 111 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+115=226 km/h. Time = 105/226 = 0.4646 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -700 - 175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 175 from -700: -700 - 175 = -875.\n</reasoning>\nFinal Answer: -875"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 20 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 20 = 140 worker-days. New time = 140 / 16 = 8.75 days.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 540 mod 752"
},
{
"role": "assistant",
"content": "<reasoning>\n540 mod 752: 540 = 752 × 0 + 540, so remainder = 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3681. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3681 × 12/100 = 441.72. Total = 3681 + 441.72 = 4122.72.\n</reasoning>\nFinal Answer: 4122.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 763 + -830"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 763 and -830: 763 + -830 = -67.\n</reasoning>\nFinal Answer: -67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 25 = 769"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 24x = 744. Divide by 24: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 + 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/11 + 1/17. Common denominator = 187. Result = 28/187.\n</reasoning>\nFinal Answer: 28/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 + 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/11 + 8/18. Common denominator = 99. Result = 62/99.\n</reasoning>\nFinal Answer: 62/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
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