messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 553 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 553 × (1 - 17/100) = 553 × 0.83 = 458.99.\n</reasoning>\nFinal Answer: 458.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 170 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 170 + 8 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (7) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×7 = 36. √discriminant = 6. x = (-(8) ± 6) / (2×1). Solutions: x = -1 or x = -7.\n</reasoning>\nFinal Answer: x = -1 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 38 * 32 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×32=1216, then 10+1216-42=1184.\n</reasoning>\nFinal Answer: 1184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 8 + 29 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×8=192 and 29×20=580, then add: 772.\n</reasoning>\nFinal Answer: 772"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -55 × -301"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -55 by -301: -55 × -301 = 16555.\n</reasoning>\nFinal Answer: 16555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 2 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 9x = 27. Divide by 9: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 35 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 30x = -30. Divide by 30: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 8 = 743"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 23 + 7 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×23=1150 and 7×23=161, then add: 1311.\n</reasoning>\nFinal Answer: 1311"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 15 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+15) × 40 = 800.0.\n</reasoning>\nFinal Answer: 800.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 33 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 49+1089-45=1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 34 = 153.0.\n</reasoning>\nFinal Answer: 153.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:34 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/34, so B = A × (34/32) = 33 × 34/32 = 35.0625.\n</reasoning>\nFinal Answer: 35.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 24 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 24 = 216 worker-days. New time = 216 / 18 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 10, 11] and B = [3, 4, 9, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 7, 9, 10, 11, 14, 16, 17].\n</reasoning>\nFinal Answer: [3, 4, 6, 7, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 9] and B = [3, 4, 10], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 7, 9, 10].\n</reasoning>\nFinal Answer: [4, 5, 7, 9, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:49 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/49, so B = A × (49/30) = 66 × 49/30 = 107.8.\n</reasoning>\nFinal Answer: 107.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -38 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 1x = -34. Divide by 1: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 24, 1, 4, 74, 65, 60, 8, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 376/9 = 41.7778.\n</reasoning>\nFinal Answer: 41.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/6 + 1/15. Common denominator = 30. Result = 77/30.\n</reasoning>\nFinal Answer: 77/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:35 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/35, so B = A × (35/34) = 41 × 35/34 = 42.2059.\n</reasoning>\nFinal Answer: 42.2059"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 8, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (42-1)×8 = 48 + 328 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "163 is what percentage of 441?"
},
{
"role": "assistant",
"content": "<reasoning>\n(163/441) × 100 = 36.9615%.\n</reasoning>\nFinal Answer: 36.9615%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 9, 13, 15, 19] and B = [7, 11, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 25% of 245?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 245 = (25/100) × 245 = 61.25.\n</reasoning>\nFinal Answer: 61.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 688?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 688 = (80/100) × 688 = 550.4.\n</reasoning>\nFinal Answer: 550.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -651 - -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -283 from -651: -651 - -283 = -368.\n</reasoning>\nFinal Answer: -368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -497 + 42"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -497 and 42: -497 + 42 = -455.\n</reasoning>\nFinal Answer: -455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [100, 71, 54, 26, 37, 68, 78, 51, 14, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {100: 1, 71: 1, 54: 1, 26: 1, 37: 1, 68: 1, 78: 1, 51: 1, 14: 1, 13: 1}. Most frequent: [100, 71, 54, 26, 37, 68, 78, 51, 14, 13].\n</r... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "537 is what percentage of 644?"
},
{
"role": "assistant",
"content": "<reasoning>\n(537/644) × 100 = 83.3851%.\n</reasoning>\nFinal Answer: 83.3851%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 38 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 9+1444-29=1424.\n</reasoning>\nFinal Answer: 1424"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 14, 18] and B = [2, 5, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 5, 14, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×10)/1 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -926 - 894"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 894 from -926: -926 - 894 = -1820.\n</reasoning>\nFinal Answer: -1820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 30, 99, 51, 57, 72, 25, 5, 25, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 5, 8, 25, 25, 30, 51, 57, 72, 99]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 25 + 50 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×25=975 and 50×35=1750, then add: 2725.\n</reasoning>\nFinal Answer: 2725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 8 * 48 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×48=384, then 32+384-42=374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:38 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/38, so B = A × (38/50) = 20 × 38/50 = 15.2.\n</reasoning>\nFinal Answer: 15.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 8 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+8) × 24 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 81, 82, 73, 51, 76, 44, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 26 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 / 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/4) ÷ (5/15) = (13/4) × (15/5) = 39/4.\n</reasoning>\nFinal Answer: 39/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 13 * 39 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×39=507, then 10+507-31=486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 164 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 164 × (1 + 40/100) = 164 × 1.4 = 229.6.\n</reasoning>\nFinal Answer: 229.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -125 + 786"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -125 and 786: -125 + 786 = 661.\n</reasoning>\nFinal Answer: 661"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 696 + -765"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 696 and -765: 696 + -765 = -69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×4)/2 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 300 + -481"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 300 and -481: 300 + -481 = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -38 = 697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -31 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 14x = -14. Divide by 14: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:3 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/3, so B = A × (3/39) = 15 × 3/39 = 1.1538.\n</reasoning>\nFinal Answer: 1.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = 988"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = 960. Divide by 30: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -578 ÷ 857"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -578 by 857. -578 ÷ 857 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2142. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2142 × 18/100 = 385.56. Total = 2142 + 385.56 = 2527.56.\n</reasoning>\nFinal Answer: 2527.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "352 is what percentage of 714?"
},
{
"role": "assistant",
"content": "<reasoning>\n(352/714) × 100 = 49.2997%.\n</reasoning>\nFinal Answer: 49.2997%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -10 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 5x = 0. Divide by 5: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 17 = -253"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 15x = -270. Divide by 15: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 * 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/18) × (18/8) = (198/144) = 11/8 after simplification.\n</reasoning>\nFinal Answer: 11/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 * 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/19) × (6/6) = (60/114) = 10/19 after simplification.\n</reasoning>\nFinal Answer: 10/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 30 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+30) × 41 = 635.5.\n</reasoning>\nFinal Answer: 635.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1696. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1696 × 18/100 = 305.28. Total = 1696 + 305.28 = 2001.28.\n</reasoning>\nFinal Answer: 2001.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:47 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/47, so B = A × (47/48) = 93 × 47/48 = 91.0625.\n</reasoning>\nFinal Answer: 91.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 20 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 20 × 66 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 1 = 121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 6x = 120. Divide by 6: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 152 apples and buys 92 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 152 + 92 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -10 = -402"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 8x = -392. Divide by 8: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 10, 12] and B = [1, 2, 3, 6, 13, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1].\n</reasoning>\nFinal Answer: [1]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 46 + 25 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×46=92 and 25×21=525, then add: 617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 24 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/6) × (1/6) = (20/36) = 5/9 after simplification.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 49 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 38+2401-25=2414.\n</reasoning>\nFinal Answer: 2414"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:12 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/12, so B = A × (12/43) = 68 × 12/43 = 18.9767.\n</reasoning>\nFinal Answer: 18.9767"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49418 at 3% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49418 × 3 × 10 / 100 = 14825.4.\n</reasoning>\nFinal Answer: 14825.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -483 - -647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -647 from -483: -483 - -647 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -36 = -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 28x = -476. Divide by 28: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:25 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/25, so B = A × (25/8) = 8 × 25/8 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 16, 18, 19] and B = [3, 6, 8], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 6, 8, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 8, 16, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 76 = 1824.0.\n</reasoning>\nFinal Answer: 1824.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3237. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3237 × 18/100 = 582.66. Total = 3237 + 582.66 = 3819.66.\n</reasoning>\nFinal Answer: 3819.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/12) ÷ (10/15) = (7/12) × (15/10) = 7/8.\n</reasoning>\nFinal Answer: 7/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -171 mod 390"
},
{
"role": "assistant",
"content": "<reasoning>\n-171 mod 390: -171 = 390 × -1 + 219, so remainder = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:1 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/1, so B = A × (1/18) = 93 × 1/18 = 5.1667.\n</reasoning>\nFinal Answer: 5.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 614 + 29"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 614 and 29: 614 + 29 = 643.\n</reasoning>\nFinal Answer: 643"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 11 * 31 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×31=341, then 29+341-40=330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:14 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/14, so B = A × (14/29) = 24 × 14/29 = 11.5862.\n</reasoning>\nFinal Answer: 11.5862"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:47 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/47, so B = A × (47/22) = 92 × 47/22 = 196.5455.\n</reasoning>\nFinal Answer: 196.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 41, 62, 13, 97, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 41: 1, 62: 1, 13: 2, 97: 1}. Most frequent: 13.\n</reasoning>\nFinal Answer: 13"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 39 = 231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 16x = 192. Divide by 16: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 117."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 117 by smallest primes repeatedly: 117 = 3 × 3 × 13.\n</reasoning>\nFinal Answer: 3 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -803 mod -747"
},
{
"role": "assistant",
"content": "<reasoning>\n-803 mod -747: -803 = -747 × 1 + -56, so remainder = -56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 17 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 19+289-14=294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:46 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/46, so B = A × (46/46) = 76 × 46/46 = 76.0.\n</reasoning>\nFinal Answer: 76.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 8, and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 8 + 11 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 7, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (27-1)×7 = 15 + 182 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 18 = 639.0.\n</reasoning>\nFinal Answer: 639.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 49, 15, 15, 42, 30, 97, 67, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 49: 1, 15: 2, 42: 1, 30: 1, 97: 1, 67: 1, 84: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 27 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+27) × 13 = 188.5.\n</reasoning>\nFinal Answer: 188.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/11 = 0.4545.\n</reasoning>\nFinal Answer: 0.4545"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 399 - -895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -895 from 399: 399 - -895 = 1294.\n</reasoning>\nFinal Answer: 1294"
}
] | medium | [
"arithmetic",
"computation"
] |
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