messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 30x + 2 = 722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 204 - 764"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 764 from 204: 204 - 764 = -560.\n</reasoning>\nFinal Answer: -560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (2)x + (1) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×1×1 = 0. √discriminant = 0. x = (-(2) ± 0) / (2×1). Solutions: x = -1 (double root).\n</reasoning>\nFinal Answer: x = -1 (double root)"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 83 = 3735.\n</reasoning>\nFinal Answer: 3735"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 69 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×41)/1 = 1476.\n</reasoning>\nFinal Answer: 1476"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 58 × 892"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 58 by 892: 58 × 892 = 51736.\n</reasoning>\nFinal Answer: 51736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 10) * (44 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+10)=17, (44-18)=26, then 17×26=442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -641 - -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -177 from -641: -641 - -177 = -464.\n</reasoning>\nFinal Answer: -464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 28 = 428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 16x = 400. Divide by 16: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 + 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/14 + 18/1. Common denominator = 7. Result = 128/7.\n</reasoning>\nFinal Answer: 128/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -965 mod 154"
},
{
"role": "assistant",
"content": "<reasoning>\n-965 mod 154: -965 = 154 × -7 + 113, so remainder = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×27)/3 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:10 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/10, so B = A × (10/36) = 34 × 10/36 = 9.4444.\n</reasoning>\nFinal Answer: 9.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 926 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 926 × (1 - 45/100) = 926 × 0.55 = 509.3.\n</reasoning>\nFinal Answer: 509.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 883 + 357"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 883 and 357: 883 + 357 = 1240.\n</reasoning>\nFinal Answer: 1240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 192 km apart. Their speeds are 109 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+65=174 km/h. Time = 192/174 = 1.1034 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (7/3) = (77/36) = 77/36 after simplification.\n</reasoning>\nFinal Answer: 77/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16461 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16461 × 12 × 1 / 100 = 1975.32.\n</reasoning>\nFinal Answer: 1975.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -1 = 1221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 26x = 1222. Divide by 26: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 966 + 414"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 966 and 414: 966 + 414 = 1380.\n</reasoning>\nFinal Answer: 1380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = 198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = 180. Divide by 6: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 8, 32, 128, 512]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 2 and ratio 4. Next term = 512 × 4 = 2048.\n</reasoning>\nFinal Answer: 2048"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28717 at 16% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28717 × 16 × 5 / 100 = 22973.6.\n</reasoning>\nFinal Answer: 22973.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -49 = -329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 20x = -280. Divide by 20: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "442 is what percentage of 801?"
},
{
"role": "assistant",
"content": "<reasoning>\n(442/801) × 100 = 55.181%.\n</reasoning>\nFinal Answer: 55.181%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 311 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 311 × (1 - 50/100) = 311 × 0.5 = 155.5.\n</reasoning>\nFinal Answer: 155.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 9, 10, 12, 13] and B = [5, 9, 13, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 9, 13].\n</reasoning>\nFinal Answer: [5, 9, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 30 * 39 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×39=1170, then 26+1170-40=1156.\n</reasoning>\nFinal Answer: 1156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 / 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/3) ÷ (9/16) = (13/3) × (16/9) = 208/27.\n</reasoning>\nFinal Answer: 208/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -386 ÷ -144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -386 by -144. -386 ÷ -144 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 21 * 22 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×22=462, then 22+462-10=474.\n</reasoning>\nFinal Answer: 474"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -1 = 664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 19x = 665. Divide by 19: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 13 + 49 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×13=585 and 49×1=49, then add: 634.\n</reasoning>\nFinal Answer: 634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 7, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (40-1)×7 = 45 + 273 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 17. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 17² = π × 289 ≈ 907.9203.\n</reasoning>\nFinal Answer: 907.9203"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 90, 11, 67, 38, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 11 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 90% of 954?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 954 = (90/100) × 954 = 858.6.\n</reasoning>\nFinal Answer: 858.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 1 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 701 - 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 295 from 701: 701 - 295 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "148 is what percentage of 282?"
},
{
"role": "assistant",
"content": "<reasoning>\n(148/282) × 100 = 52.4823%.\n</reasoning>\nFinal Answer: 52.4823%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25118 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25118 × 19 × 10 / 100 = 47724.2.\n</reasoning>\nFinal Answer: 47724.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -3 = -250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 19x = -247. Divide by 19: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 43 ÷ -334"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 43 by -334. 43 ÷ -334 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -27 = 663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 30x = 690. Divide by 30: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 131 apples and buys 83 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 131 + 83 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 917 - -498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -498 from 917: 917 - -498 = 1415.\n</reasoning>\nFinal Answer: 1415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:31 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/31, so B = A × (31/4) = 75 × 31/4 = 581.25.\n</reasoning>\nFinal Answer: 581.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 71, 11, 69, 9, 93, 87, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 39, 57, 69, 71, 87, 93]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 9 + 30 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×9=252 and 30×44=1320, then add: 1572.\n</reasoning>\nFinal Answer: 1572"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -38 = -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 26x = -624. Divide by 26: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 5 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 5 = 60 worker-days. New time = 60 / 19 = 3.1579 days.\n</reasoning>\nFinal Answer: 3.1579"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 833 - -212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -212 from 833: 833 - -212 = 1045.\n</reasoning>\nFinal Answer: 1045"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 224 ÷ 256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 224 by 256. 224 ÷ 256 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 87, 81, 66, 86, 23, 70, 56, 80, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 87: 1, 81: 1, 66: 1, 86: 1, 23: 1, 70: 1, 56: 1, 80: 1, 100: 1}. Most frequent: [45, 87, 81, 66, 86, 23, 70, 56, 80, 100].\n</r... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -27 = -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 2x = -94. Divide by 2: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 21 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 21 × (1 - 80/100) = 21 × 0.19999999999999996 = 4.2.\n</reasoning>\nFinal Answer: 4.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -307 ÷ -127"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -307 by -127. -307 ÷ -127 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -968 × -351"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -968 by -351: -968 × -351 = 339768.\n</reasoning>\nFinal Answer: 339768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 967 + 970"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 967 and 970: 967 + 970 = 1937.\n</reasoning>\nFinal Answer: 1937"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 34, 71, 69, 12, 47, 38, 22, 84, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 34: 1, 71: 1, 69: 1, 12: 1, 47: 1, 38: 1, 22: 2, 84: 1}. Most frequent: 22.\n</reasoning>\nFinal Answer: 22"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 11, 14, 16, 17] and B = [1, 8, 13, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 9, 11, 16, 17].\n</reasoning>\nFinal Answer: [4, 6, 9, 11, 16, 17]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -303 × 558"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -303 by 558: -303 × 558 = -169074.\n</reasoning>\nFinal Answer: -169074"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×5)/1 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 27 = 477"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 9x = 450. Divide by 9: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "63 is what percentage of 108?"
},
{
"role": "assistant",
"content": "<reasoning>\n(63/108) × 100 = 58.3333%.\n</reasoning>\nFinal Answer: 58.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 / 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/14) ÷ (9/13) = (3/14) × (13/9) = 13/42.\n</reasoning>\nFinal Answer: 13/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 56, 87, 15, 31, 58, 19, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/8 = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 17 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 17 × 100 = 1700.\n</reasoning>\nFinal Answer: 1700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -554 × -408"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -554 by -408: -554 × -408 = 226032.\n</reasoning>\nFinal Answer: 226032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -913 - -911"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -911 from -913: -913 - -911 = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 39 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 20+1521-26=1515.\n</reasoning>\nFinal Answer: 1515"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 49 = 2058.\n</reasoning>\nFinal Answer: 2058"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 41) * (42 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+41)=76, (42-41)=1, then 76×1=76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 740?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 740 = (15/100) × 740 = 111.0.\n</reasoning>\nFinal Answer: 111.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:16 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/16, so B = A × (16/34) = 90 × 16/34 = 42.3529.\n</reasoning>\nFinal Answer: 42.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -24 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 20x = -620. Divide by 20: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -228 mod -526"
},
{
"role": "assistant",
"content": "<reasoning>\n-228 mod -526: -228 = -526 × 0 + -228, so remainder = -228.\n</reasoning>\nFinal Answer: -228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -5 + -632"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -5 and -632: -5 + -632 = -637.\n</reasoning>\nFinal Answer: -637"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 30 + 36 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×30=720 and 36×39=1404, then add: 2124.\n</reasoning>\nFinal Answer: 2124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:14 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/14, so B = A × (14/40) = 64 × 14/40 = 22.4.\n</reasoning>\nFinal Answer: 22.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 238 ÷ 377"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 238 by 377. 238 ÷ 377 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 50) * (35 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+50)=78, (35-21)=14, then 78×14=1092.\n</reasoning>\nFinal Answer: 1092"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:15 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/15, so B = A × (15/33) = 16 × 15/33 = 7.2727.\n</reasoning>\nFinal Answer: 7.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 538 mod 266"
},
{
"role": "assistant",
"content": "<reasoning>\n538 mod 266: 538 = 266 × 2 + 6, so remainder = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -72 - -449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -449 from -72: -72 - -449 = 377.\n</reasoning>\nFinal Answer: 377"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -492 × 424"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -492 by 424: -492 × 424 = -208608.\n</reasoning>\nFinal Answer: -208608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 512 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 512 × (1 - 40/100) = 512 × 0.6 = 307.2.\n</reasoning>\nFinal Answer: 307.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -435 - -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -834 from -435: -435 - -834 = 399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 49 = -751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 16x = -800. Divide by 16: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 23 = 998"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 25x = 975. Divide by 25: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 2) * (40 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+2)=35, (40-44)=-4, then 35×-4=-140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:4 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/4, so B = A × (4/41) = 28 × 4/41 = 2.7317.\n</reasoning>\nFinal Answer: 2.7317"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 93 = 6696.\n</reasoning>\nFinal Answer: 6696"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 9 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+9) × 13 = 130.0.\n</reasoning>\nFinal Answer: 130.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 25) * (28 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+25)=28, (28-9)=19, then 28×19=532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 725 - -368"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -368 from 725: 725 - -368 = 1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:1 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/1, so B = A × (1/26) = 64 × 1/26 = 2.4615.\n</reasoning>\nFinal Answer: 2.4615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 16] and B = [4, 6, 7, 8, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 16].\n</reasoning>\nFinal Answer: [8, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -46 ÷ -858"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -46 by -858. -46 ÷ -858 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
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