messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 837 mod -102"
},
{
"role": "assistant",
"content": "<reasoning>\n837 mod -102: 837 = -102 × -9 + -81, so remainder = -81.\n</reasoning>\nFinal Answer: -81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 729?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 729 = (15/100) × 729 = 109.35.\n</reasoning>\nFinal Answer: 109.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -557 ÷ 923"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -557 by 923. -557 ÷ 923 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 18) * (16 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+18)=60, (16-15)=1, then 60×1=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 22 = -726"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 17x = -748. Divide by 17: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:32 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/32, so B = A × (32/2) = 78 × 32/2 = 1248.0.\n</reasoning>\nFinal Answer: 1248.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 485 - -667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -667 from 485: 485 - -667 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 136 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 136 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 16 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 20x = -660. Divide by 20: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 568 × 228"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 568 by 228: 568 × 228 = 129504.\n</reasoning>\nFinal Answer: 129504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -10 = 242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 7x = 252. Divide by 7: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -17 = -293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 23x = -276. Divide by 23: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×34)/1 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:32 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/32, so B = A × (32/28) = 51 × 32/28 = 58.2857.\n</reasoning>\nFinal Answer: 58.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 4, 57, 64, 12, 30, 60, 5, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 4: 1, 57: 1, 64: 1, 12: 1, 30: 1, 60: 1, 5: 1, 13: 1}. Most frequent: [1, 4, 57, 64, 12, 30, 60, 5, 13].\n</reasoning>\nFinal Answer: [1... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹4016. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4016 × 12/100 = 481.92. Total = 4016 + 481.92 = 4497.92.\n</reasoning>\nFinal Answer: 4497.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 + 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/7 + 8/3. Common denominator = 21. Result = 107/21.\n</reasoning>\nFinal Answer: 107/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 21 + 17 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×21=126 and 17×19=323, then add: 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 27, 41, 6, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 251/5 = 50.2.\n</reasoning>\nFinal Answer: 50.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 + 5/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/7 + 5/10. Common denominator = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 66, 29, 48, 17, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 29, 32, 48, 61, 66]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 / 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/1) ÷ (5/7) = (16/1) × (7/5) = 112/5.\n</reasoning>\nFinal Answer: 112/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 53, 51, 6, 50, 35, 30, 46, 92, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 53: 1, 51: 1, 6: 1, 50: 1, 35: 1, 30: 1, 46: 1, 92: 1, 40: 1}. Most frequent: [18, 53, 51, 6, 50, 35, 30, 46, 92, 40].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 105 km apart. Their speeds are 111 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+51=162 km/h. Time = 105/162 = 0.6481 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 18/2. Common denominator = 14. Result = 127/14.\n</reasoning>\nFinal Answer: 127/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 22) * (31 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+22)=29, (31-3)=28, then 29×28=812.\n</reasoning>\nFinal Answer: 812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 * 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/8) × (18/16) = (234/128) = 117/64 after simplification.\n</reasoning>\nFinal Answer: 117/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "705 is what percentage of 853?"
},
{
"role": "assistant",
"content": "<reasoning>\n(705/853) × 100 = 82.6495%.\n</reasoning>\nFinal Answer: 82.6495%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -167 - -726"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -726 from -167: -167 - -726 = 559.\n</reasoning>\nFinal Answer: 559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -24 = 451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 19x = 475. Divide by 19: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:46 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/46, so B = A × (46/34) = 35 × 46/34 = 47.3529.\n</reasoning>\nFinal Answer: 47.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 44 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 2x = 30. Divide by 2: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:23 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/23, so B = A × (23/37) = 35 × 23/37 = 21.7568.\n</reasoning>\nFinal Answer: 21.7568"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 26 = 442 worker-days. New time = 442 / 7 = 63.1429 days.\n</reasoning>\nFinal Answer: 63.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 * 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/15) × (8/3) = (120/45) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (17/14) = (238/112) = 17/8 after simplification.\n</reasoning>\nFinal Answer: 17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 89, 55, 3, 21, 54, 41, 85, 35, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 12, 21, 35, 41, 54, 55, 59, 85, 89]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -706 ÷ 709"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -706 by 709. -706 ÷ 709 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "51 is what percentage of 180?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/180) × 100 = 28.3333%.\n</reasoning>\nFinal Answer: 28.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 33 + 37 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×33=1485 and 37×30=1110, then add: 2595.\n</reasoning>\nFinal Answer: 2595"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 786 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 786 × (1 - 5/100) = 786 × 0.95 = 746.7.\n</reasoning>\nFinal Answer: 746.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 / 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/13) ÷ (16/10) = (20/13) × (10/16) = 25/26.\n</reasoning>\nFinal Answer: 25/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 50 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(50,63) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 / 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/19) ÷ (2/7) = (19/19) × (7/2) = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -102 ÷ -384"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -102 by -384. -102 ÷ -384 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 29 = 2581.\n</reasoning>\nFinal Answer: 2581"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 196 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(196,55) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 63, 82, 87, 26, 62, 28, 98, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 538/9 = 59.7778.\n</reasoning>\nFinal Answer: 59.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -346 × 683"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -346 by 683: -346 × 683 = -236318.\n</reasoning>\nFinal Answer: -236318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 53, 71, 89, 107]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 18. Next term = 107 + 18 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 267 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 267 × (1 + 45/100) = 267 × 1.45 = 387.15.\n</reasoning>\nFinal Answer: 387.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25317 at 12% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25317 × 12 × 9 / 100 = 27342.36.\n</reasoning>\nFinal Answer: 27342.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 27 = 1944.\n</reasoning>\nFinal Answer: 1944"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:30 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/30, so B = A × (30/26) = 20 × 30/26 = 23.0769.\n</reasoning>\nFinal Answer: 23.0769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -45 = -279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 13x = -234. Divide by 13: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -34 = 356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 13x = 390. Divide by 13: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×38)/1 = 950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 16) * (44 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+16)=49, (44-3)=41, then 49×41=2009.\n</reasoning>\nFinal Answer: 2009"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:21 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/21, so B = A × (21/8) = 27 × 21/8 = 70.875.\n</reasoning>\nFinal Answer: 70.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 7 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 7/60 = 7.1167 hours. Distance = speed × time = 195 × 7.1167 = 1387.75 km.\n</reasoning>\nFinal Answer: 1387.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 30 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 30+900-31=899.\n</reasoning>\nFinal Answer: 899"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -13 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 25x = -25. Divide by 25: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -480 ÷ 581"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -480 by 581. -480 ÷ 581 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 60 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 6) * (10 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+6)=20, (10-20)=-10, then 20×-10=-200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 3 * 41 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×41=123, then 42+123-25=140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 11, 50, 88, 19, 50, 39, 78, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 378/9 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 29) * (13 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+29)=46, (13-25)=-12, then 46×-12=-552.\n</reasoning>\nFinal Answer: -552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 8, 14] and B = [5, 6, 10, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 8, 14].\n</reasoning>\nFinal Answer: [2, 7, 8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 8, 17] and B = [1, 2, 8, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 8, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 6, 8, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 18) * (30 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+18)=46, (30-50)=-20, then 46×-20=-920.\n</reasoning>\nFinal Answer: -920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 1 ÷ -524"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 1 by -524. 1 ÷ -524 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 166 apples and buys 113 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 166 + 113 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 4 * 3 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×3=12, then 44+12-4=52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 15/16. Common denominator = 48. Result = 73/48.\n</reasoning>\nFinal Answer: 73/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 * 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/17) × (12/8) = (48/136) = 6/17 after simplification.\n</reasoning>\nFinal Answer: 6/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 859 mod 561"
},
{
"role": "assistant",
"content": "<reasoning>\n859 mod 561: 859 = 561 × 1 + 298, so remainder = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 707 mod 368"
},
{
"role": "assistant",
"content": "<reasoning>\n707 mod 368: 707 = 368 × 1 + 339, so remainder = 339.\n</reasoning>\nFinal Answer: 339"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 48 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 4x = 168. Divide by 4: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:3 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/3, so B = A × (3/47) = 52 × 3/47 = 3.3191.\n</reasoning>\nFinal Answer: 3.3191"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 50 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 25+2500-1=2524.\n</reasoning>\nFinal Answer: 2524"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4146. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4146 × 12/100 = 497.52. Total = 4146 + 497.52 = 4643.52.\n</reasoning>\nFinal Answer: 4643.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 1 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 35/60 = 1.5833 hours. Distance = speed × time = 164 × 1.5833 = 259.6667 km.\n</reasoning>\nFinal Answer: 259.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 74."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 74 by smallest primes repeatedly: 74 = 2 × 37.\n</reasoning>\nFinal Answer: 2 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 9, 18] and B = [7, 8, 9, 10, 11, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 7, 8, 9, 10, 11, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 7, 8, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 43 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+43) × 27 = 891.0.\n</reasoning>\nFinal Answer: 891.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 46 * 10 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×10=460, then 10+460-29=441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 54 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 32, 43, 54, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 11. Next term = 65 + 11 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -724 + -548"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -724 and -548: -724 + -548 = -1272.\n</reasoning>\nFinal Answer: -1272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -38 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 11x = -253. Divide by 11: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -551 × -537"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -551 by -537: -551 × -537 = 295887.\n</reasoning>\nFinal Answer: 295887"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:18 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/18, so B = A × (18/28) = 46 × 18/28 = 29.5714.\n</reasoning>\nFinal Answer: 29.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:34 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/34, so B = A × (34/25) = 64 × 34/25 = 87.04.\n</reasoning>\nFinal Answer: 87.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 1 = 101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 25x = 100. Divide by 25: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -8 = 492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 17% of 658?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 658 = (17/100) × 658 = 111.86.\n</reasoning>\nFinal Answer: 111.86"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -150 + 730"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -150 and 730: -150 + 730 = 580.\n</reasoning>\nFinal Answer: 580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 946 ÷ -946"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 946 by -946. 946 ÷ -946 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 41 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 43+1681-48=1676.\n</reasoning>\nFinal Answer: 1676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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