messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 28:37 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/37, so B = A × (37/28) = 71 × 37/28 = 93.8214.\n</reasoning>\nFinal Answer: 93.8214"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 46 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+46) × 50 = 1975.0.\n</reasoning>\nFinal Answer: 1975.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:6 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/6, so B = A × (6/50) = 2 × 6/50 = 0.24.\n</reasoning>\nFinal Answer: 0.24"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:46 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/46, so B = A × (46/6) = 27 × 46/6 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40577 at 8% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40577 × 8 × 10 / 100 = 32461.6.\n</reasoning>\nFinal Answer: 32461.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 1 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 81 and 105."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(81,105) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 233 mod 315"
},
{
"role": "assistant",
"content": "<reasoning>\n233 mod 315: 233 = 315 × 0 + 233, so remainder = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -265 × 229"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -265 by 229: -265 × 229 = -60685.\n</reasoning>\nFinal Answer: -60685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (16/11) = (288/154) = 144/77 after simplification.\n</reasoning>\nFinal Answer: 144/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -288 mod 511"
},
{
"role": "assistant",
"content": "<reasoning>\n-288 mod 511: -288 = 511 × -1 + 223, so remainder = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -4 = 131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 914 ÷ -409"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 914 by -409. 914 ÷ -409 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 587 ÷ 401"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 587 by 401. 587 ÷ 401 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 91, 72, 12, 63, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 4 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -630 × 967"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -630 by 967: -630 × 967 = -609210.\n</reasoning>\nFinal Answer: -609210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 5 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 5 = 75 worker-days. New time = 75 / 7 = 10.7143 days.\n</reasoning>\nFinal Answer: 10.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 12 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 11+144-14=141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 100% of 826?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 826 = (100/100) × 826 = 826.0.\n</reasoning>\nFinal Answer: 826.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (14/17) = (7/16) × (17/14) = 17/32.\n</reasoning>\nFinal Answer: 17/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:8 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/8, so B = A × (8/18) = 86 × 8/18 = 38.2222.\n</reasoning>\nFinal Answer: 38.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 - 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/7 - 16/17. LCD = 119. Result = -27/119.\n</reasoning>\nFinal Answer: -27/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:49 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/49, so B = A × (49/41) = 21 × 49/41 = 25.0976.\n</reasoning>\nFinal Answer: 25.0976"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 116 apples and buys 78 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 116 + 78 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -6 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 2x = -88. Divide by 2: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -528 × -215"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -528 by -215: -528 × -215 = 113520.\n</reasoning>\nFinal Answer: 113520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 14 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 14 = 154 worker-days. New time = 154 / 13 = 11.8462 days.\n</reasoning>\nFinal Answer: 11.8462"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -875 + 350"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -875 and 350: -875 + 350 = -525.\n</reasoning>\nFinal Answer: -525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 768 - -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -301 from 768: 768 - -301 = 1069.\n</reasoning>\nFinal Answer: 1069"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -811 + -804"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -811 and -804: -811 + -804 = -1615.\n</reasoning>\nFinal Answer: -1615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 83 = 2490.0.\n</reasoning>\nFinal Answer: 2490.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 982 × -736"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 982 by -736: 982 × -736 = -722752.\n</reasoning>\nFinal Answer: -722752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 9, 11, 13, 15] and B = [2, 6, 9, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 9, 15].\n</reasoning>\nFinal Answer: [2, 9, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 163 km/h. How far does it travel in 12 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 54/60 = 12.9000 hours. Distance = speed × time = 163 × 12.9000 = 2102.7 km.\n</reasoning>\nFinal Answer: 2102.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 66, 93, 62, 45, 25, 68, 95, 8, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 66: 1, 93: 1, 62: 1, 45: 1, 25: 1, 68: 1, 95: 1, 8: 1, 85: 1}. Most frequent: [33, 66, 93, 62, 45, 25, 68, 95, 8, 85].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 2, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (24-1)×2 = 27 + 46 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 38 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 17+1444-26=1435.\n</reasoning>\nFinal Answer: 1435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 45 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+45) × 42 = 1281.0.\n</reasoning>\nFinal Answer: 1281.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 8, 11, 14, 16] and B = [8, 13, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:20 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/20, so B = A × (20/25) = 92 × 20/25 = 73.6.\n</reasoning>\nFinal Answer: 73.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 26 = 1107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 23x = 1081. Divide by 23: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -493 mod 654"
},
{
"role": "assistant",
"content": "<reasoning>\n-493 mod 654: -493 = 654 × -1 + 161, so remainder = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -740 + 891"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -740 and 891: -740 + 891 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 358 km apart. Their speeds are 54 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+113=167 km/h. Time = 358/167 = 2.1437 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 34 + 24 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×34=34 and 24×31=744, then add: 778.\n</reasoning>\nFinal Answer: 778"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 318 mod 412"
},
{
"role": "assistant",
"content": "<reasoning>\n318 mod 412: 318 = 412 × 0 + 318, so remainder = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 17 and 112."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(17,112) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 59 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -19 = 101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 8x = 120. Divide by 8: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 10, 12, 14, 16, 17] and B = [17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 415 × -689"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 415 by -689: 415 × -689 = -285935.\n</reasoning>\nFinal Answer: -285935"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 508 km apart. Their speeds are 78 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+44=122 km/h. Time = 508/122 = 4.1639 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 93 ÷ 945"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 93 by 945. 93 ÷ 945 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 494 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 494 × (1 - 7/100) = 494 × 0.9299999999999999 = 459.42.\n</reasoning>\nFinal Answer: 459.42"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 160 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 160 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 46, 97, 84, 83, 83, 100, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 46: 1, 97: 1, 84: 1, 83: 2, 100: 1, 11: 1}. Most frequent: 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/8 - 20/16. LCD = 8. Result = -1/8.\n</reasoning>\nFinal Answer: -1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:26 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/26, so B = A × (26/20) = 68 × 26/20 = 88.4.\n</reasoning>\nFinal Answer: 88.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 8 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 9x = 423. Divide by 9: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 41, 52, 63, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 11. Next term = 74 + 11 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 - 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/20 - 20/4. LCD = 5. Result = -24/5.\n</reasoning>\nFinal Answer: -24/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 91, 23, 34, 23, 6, 37, 94, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 419/9 = 46.5556.\n</reasoning>\nFinal Answer: 46.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 12 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 12 = 108 worker-days. New time = 108 / 9 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 45 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 6+2025-28=2003.\n</reasoning>\nFinal Answer: 2003"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 1 + 36 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×1=4 and 36×16=576, then add: 580.\n</reasoning>\nFinal Answer: 580"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 118 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "410 is what percentage of 868?"
},
{
"role": "assistant",
"content": "<reasoning>\n(410/868) × 100 = 47.235%.\n</reasoning>\nFinal Answer: 47.235%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+85) = 2×165 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 10 * 10 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×10=100, then 4+100-15=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 5 = -454"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 27x = -459. Divide by 27: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 76, 37, 10, 63, 96, 73, 95, 77, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 37, 63, 68, 73, 76, 77, 87, 95, 96]. Middle value(s) → median = 74.5.\n</reasoning>\nFinal Answer: 74.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×12)/3 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:21 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/21, so B = A × (21/25) = 98 × 21/25 = 82.32.\n</reasoning>\nFinal Answer: 82.32"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 3, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (40-1)×3 = 31 + 117 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 59 = 3894.\n</reasoning>\nFinal Answer: 3894"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:26 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/26, so B = A × (26/5) = 13 × 26/5 = 67.6.\n</reasoning>\nFinal Answer: 67.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 162 - -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -474 from 162: 162 - -474 = 636.\n</reasoning>\nFinal Answer: 636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "141 is what percentage of 433?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/433) × 100 = 32.5635%.\n</reasoning>\nFinal Answer: 32.5635%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38171 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38171 × 18 × 9 / 100 = 61837.02.\n</reasoning>\nFinal Answer: 61837.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 7, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (41-1)×7 = 42 + 280 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 345 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 345 × (1 - 12/100) = 345 × 0.88 = 303.6.\n</reasoning>\nFinal Answer: 303.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 34 = -270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 16x = -304. Divide by 16: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 + 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/11 + 5/8. Common denominator = 88. Result = 183/88.\n</reasoning>\nFinal Answer: 183/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 5 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 21/60 = 5.3500 hours. Distance = speed × time = 103 × 5.3500 = 551.05 km.\n</reasoning>\nFinal Answer: 551.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 173 km/h. How far does it travel in 7 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 49/60 = 7.8167 hours. Distance = speed × time = 173 × 7.8167 = 1352.2833 km.\n</reasoning>\nFinal Answer: 1352.2833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = 44. Divide by 1: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 8 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 11x = 110. Divide by 11: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 38 + 4 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×38=1558 and 4×35=140, then add: 1698.\n</reasoning>\nFinal Answer: 1698"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 32 = 185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 17x = 153. Divide by 17: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 10) * (4 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+10)=41, (4-2)=2, then 41×2=82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 8 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 8 = 24 worker-days. New time = 24 / 9 = 2.6667 days.\n</reasoning>\nFinal Answer: 2.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 30, 64, 13, 98, 93, 72, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 10 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -3 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 18x = -234. Divide by 18: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 8 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 5/13 = 0.3846.\n</reasoning>\nFinal Answer: 0.3846"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:22 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/22, so B = A × (22/40) = 82 × 22/40 = 45.1.\n</reasoning>\nFinal Answer: 45.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×12)/1 = 564.\n</reasoning>\nFinal Answer: 564"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 20 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 20 = 240 worker-days. New time = 240 / 13 = 18.4615 days.\n</reasoning>\nFinal Answer: 18.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -22 × -952"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -22 by -952: -22 × -952 = 20944.\n</reasoning>\nFinal Answer: 20944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 43 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 12x = -60. Divide by 12: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 22 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 10x = -40. Divide by 10: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
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