messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×23)/1 = 874.\n</reasoning>\nFinal Answer: 874"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 39) * (39 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+39)=58, (39-50)=-11, then 58×-11=-638.\n</reasoning>\nFinal Answer: -638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 + 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/16 + 17/1. Common denominator = 16. Result = 279/16.\n</reasoning>\nFinal Answer: 279/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 / 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/17) ÷ (20/12) = (12/17) × (12/20) = 36/85.\n</reasoning>\nFinal Answer: 36/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 1 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+1) × 25 = 325.0.\n</reasoning>\nFinal Answer: 325.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -425 - 886"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 886 from -425: -425 - 886 = -1311.\n</reasoning>\nFinal Answer: -1311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 72 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 72 × 86 = 6192.\n</reasoning>\nFinal Answer: 6192"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+55) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 34, 70, 57, 61, 71, 47, 30, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 2, 34: 1, 70: 1, 57: 1, 71: 1, 47: 1, 30: 1, 13: 1}. Most frequent: 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 96, 100, 21, 12, 8, 21, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 8 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "99 is what percentage of 850?"
},
{
"role": "assistant",
"content": "<reasoning>\n(99/850) × 100 = 11.6471%.\n</reasoning>\nFinal Answer: 11.6471%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16000 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16000 × 15 × 3 / 100 = 7200.0.\n</reasoning>\nFinal Answer: 7200.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:9 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/9, so B = A × (9/13) = 80 × 9/13 = 55.3846.\n</reasoning>\nFinal Answer: 55.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (11/13) = (20/5) × (13/11) = 52/11.\n</reasoning>\nFinal Answer: 52/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-32)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×4×0 = 1024. √discriminant = 32. x = (-(-32) ± 32) / (2×4). Solutions: x = 0 or x = 8.\n</reasoning>\nFinal Answer: x = 0 or x = 8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 12, 13, 14, 18] and B = [3, 4, 5, 6, 9, 10, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 9, 10, 12, 13, 18, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 8/10. Common denominator = 5. Result = 79/5.\n</reasoning>\nFinal Answer: 79/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 972 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 972 × (1 - 10/100) = 972 × 0.9 = 874.8.\n</reasoning>\nFinal Answer: 874.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 882 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 882 × (1 + 40/100) = 882 × 1.4 = 1234.8.\n</reasoning>\nFinal Answer: 1234.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:19 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/19, so B = A × (19/9) = 54 × 19/9 = 114.0.\n</reasoning>\nFinal Answer: 114.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -661 - 428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 428 from -661: -661 - 428 = -1089.\n</reasoning>\nFinal Answer: -1089"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+55) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25497 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25497 × 6 × 3 / 100 = 4589.46.\n</reasoning>\nFinal Answer: 4589.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 * 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/1) × (2/1) = (26/1) = 26 after simplification.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:41 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/41, so B = A × (41/12) = 7 × 41/12 = 23.9167.\n</reasoning>\nFinal Answer: 23.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 138 km apart. Their speeds are 52 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+55=107 km/h. Time = 138/107 = 1.2897 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "90 is what percentage of 150?"
},
{
"role": "assistant",
"content": "<reasoning>\n(90/150) × 100 = 60.0%.\n</reasoning>\nFinal Answer: 60.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 92 = 1518.0.\n</reasoning>\nFinal Answer: 1518.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 59 = 1121.0.\n</reasoning>\nFinal Answer: 1121.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:9 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/9, so B = A × (9/39) = 44 × 9/39 = 10.1538.\n</reasoning>\nFinal Answer: 10.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 21 * 6 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×6=126, then 15+126-27=114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 127 + 798"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 127 and 798: 127 + 798 = 925.\n</reasoning>\nFinal Answer: 925"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 88 = 4664.\n</reasoning>\nFinal Answer: 4664"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 417 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 417 × (1 - 50/100) = 417 × 0.5 = 208.5.\n</reasoning>\nFinal Answer: 208.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -34 = 702"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 23x = 736. Divide by 23: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -40 = 200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 8x = 240. Divide by 8: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 80, 82, 71, 100, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 449/6 = 74.8333.\n</reasoning>\nFinal Answer: 74.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 5 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 15x = -240. Divide by 15: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 296 mod -390"
},
{
"role": "assistant",
"content": "<reasoning>\n296 mod -390: 296 = -390 × -1 + -94, so remainder = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -593 ÷ -486"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -593 by -486. -593 ÷ -486 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 4 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 41/60 = 4.6833 hours. Distance = speed × time = 57 × 4.6833 = 266.95 km.\n</reasoning>\nFinal Answer: 266.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44540 at 14% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44540 × 14 × 5 / 100 = 31178.0.\n</reasoning>\nFinal Answer: 31178.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 33) * (42 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+33)=54, (42-45)=-3, then 54×-3=-162.\n</reasoning>\nFinal Answer: -162"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 625 × 190"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 625 by 190: 625 × 190 = 118750.\n</reasoning>\nFinal Answer: 118750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 1 + 12 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×1=18 and 12×49=588, then add: 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 97 = 4753.0.\n</reasoning>\nFinal Answer: 4753.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (19/8) = (6/19) × (8/19) = 48/361.\n</reasoning>\nFinal Answer: 48/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×24 = 36. √discriminant = 6. x = (-(18) ± 6) / (2×3). Solutions: x = -4 or x = -2.\n</reasoning>\nFinal Answer: x = -4 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 654 ÷ 208"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 654 by 208. 654 ÷ 208 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 3 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 52/60 = 3.8667 hours. Distance = speed × time = 199 × 3.8667 = 769.4667 km.\n</reasoning>\nFinal Answer: 769.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 12 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+12) × 5 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 110 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 110 × (1 + 17/100) = 110 × 1.17 = 128.7.\n</reasoning>\nFinal Answer: 128.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 12, 14] and B = [1, 2, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 12, 14, 16].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 12, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 67 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:44 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/44, so B = A × (44/45) = 87 × 44/45 = 85.0667.\n</reasoning>\nFinal Answer: 85.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10469 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10469 × 10 × 7 / 100 = 7328.3.\n</reasoning>\nFinal Answer: 7328.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 9 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 13+81-24=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 906 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 906 × (1 - 7/100) = 906 × 0.9299999999999999 = 842.58.\n</reasoning>\nFinal Answer: 842.58"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 21 * 41 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×41=861, then 16+861-1=876.\n</reasoning>\nFinal Answer: 876"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -966 ÷ 454"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -966 by 454. -966 ÷ 454 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 23 + 24 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×23=276 and 24×50=1200, then add: 1476.\n</reasoning>\nFinal Answer: 1476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16459 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16459 × 2 × 5 / 100 = 1645.9.\n</reasoning>\nFinal Answer: 1645.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 6 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 49/60 = 6.8167 hours. Distance = speed × time = 152 × 6.8167 = 1036.1333 km.\n</reasoning>\nFinal Answer: 1036.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -708 ÷ 788"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -708 by 788. -708 ÷ 788 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 879 + -207"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 879 and -207: 879 + -207 = 672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 998 × -250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 998 by -250: 998 × -250 = -249500.\n</reasoning>\nFinal Answer: -249500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 651 - 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 273 from 651: 651 - 273 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 15, 16, 19] and B = [10, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 9, 10, 15].\n</reasoning>\nFinal Answer: [5, 9, 10, 15]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2908. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2908 × 12/100 = 348.96. Total = 2908 + 348.96 = 3256.96.\n</reasoning>\nFinal Answer: 3256.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -847 × -877"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -847 by -877: -847 × -877 = 742819.\n</reasoning>\nFinal Answer: 742819"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 42 + 27 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×42=84 and 27×14=378, then add: 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 + 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/10 + 16/16. Common denominator = 5. Result = 13/5.\n</reasoning>\nFinal Answer: 13/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 45 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 39+2025-30=2034.\n</reasoning>\nFinal Answer: 2034"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 95 = 3610.0.\n</reasoning>\nFinal Answer: 3610.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 156 km/h. How far does it travel in 7 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 2/60 = 7.0333 hours. Distance = speed × time = 156 × 7.0333 = 1097.2 km.\n</reasoning>\nFinal Answer: 1097.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 - 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/11 - 18/12. LCD = 22. Result = -9/22.\n</reasoning>\nFinal Answer: -9/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -823 + -896"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -823 and -896: -823 + -896 = -1719.\n</reasoning>\nFinal Answer: -1719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 663 - 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 858 from 663: 663 - 858 = -195.\n</reasoning>\nFinal Answer: -195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -33 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 14x = 126. Divide by 14: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 337 + -734"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 337 and -734: 337 + -734 = -397.\n</reasoning>\nFinal Answer: -397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -47 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 12 = -1293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 29x = -1305. Divide by 29: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 451 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 451 × (1 + 65/100) = 451 × 1.65 = 744.15.\n</reasoning>\nFinal Answer: 744.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+22) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 93 = 651.0.\n</reasoning>\nFinal Answer: 651.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 273 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 273 × (1 + 50/100) = 273 × 1.5 = 409.5.\n</reasoning>\nFinal Answer: 409.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 30, 44, 58, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 14. Next term = 72 + 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 62 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 7) * (9 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+7)=35, (9-48)=-39, then 35×-39=-1365.\n</reasoning>\nFinal Answer: -1365"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 29 * 6 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×6=174, then 49+174-13=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 19, 29, 39, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 10. Next term = 49 + 10 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 11, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (10-1)×11 = 8 + 99 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 / 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/16) ÷ (14/8) = (6/16) × (8/14) = 3/14.\n</reasoning>\nFinal Answer: 3/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "23 is what percentage of 932?"
},
{
"role": "assistant",
"content": "<reasoning>\n(23/932) × 100 = 2.4678%.\n</reasoning>\nFinal Answer: 2.4678%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 141 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 141 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2119. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2119 × 28/100 = 593.32. Total = 2119 + 593.32 = 2712.32.\n</reasoning>\nFinal Answer: 2712.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6831 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6831 × 17 × 4 / 100 = 4645.08.\n</reasoning>\nFinal Answer: 4645.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (6)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×3×0 = 36. √discriminant = 6. x = (-(6) ± 6) / (2×3). Solutions: x = -2 or x = 0.\n</reasoning>\nFinal Answer: x = -2 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 439 km apart. Their speeds are 70 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+71=141 km/h. Time = 439/141 = 3.1135 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 11, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (29-1)×11 = 1 + 308 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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