messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 1/20 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/20) ÷ (7/2) = (1/20) × (2/7) = 1/70.\n</reasoning>\nFinal Answer: 1/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 488 - -937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -937 from 488: 488 - -937 = 1425.\n</reasoning>\nFinal Answer: 1425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 126 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 126 × (1 - 40/100) = 126 × 0.6 = 75.6.\n</reasoning>\nFinal Answer: 75.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 23) * (20 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+23)=69, (20-27)=-7, then 69×-7=-483.\n</reasoning>\nFinal Answer: -483"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 - 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/16 - 11/17. LCD = 272. Result = 11/272.\n</reasoning>\nFinal Answer: 11/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 6 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 36/60 = 6.6000 hours. Distance = speed × time = 106 × 6.6000 = 699.6 km.\n</reasoning>\nFinal Answer: 699.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 942 × 394"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 942 by 394: 942 × 394 = 371148.\n</reasoning>\nFinal Answer: 371148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 131 ÷ 908"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 131 by 908. 131 ÷ 908 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -947 ÷ -750"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -947 by -750. -947 ÷ -750 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 227?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 227 = (40/100) × 227 = 90.8.\n</reasoning>\nFinal Answer: 90.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 28 = -1072"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 25x = -1100. Divide by 25: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 80."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,80) = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/15 - 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/15 - 9/9. LCD = 5. Result = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 61 km/h. How far does it travel in 4 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 6/60 = 4.1000 hours. Distance = speed × time = 61 × 4.1000 = 250.1 km.\n</reasoning>\nFinal Answer: 250.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 7% of 630?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 630 = (7/100) × 630 = 44.1.\n</reasoning>\nFinal Answer: 44.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -281 - -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -576 from -281: -281 - -576 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 834 + 532"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 834 and 532: 834 + 532 = 1366.\n</reasoning>\nFinal Answer: 1366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = 133. Divide by 19: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 193 and 60."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(193,60) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 123 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 123 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 47 = 619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 26x = 572. Divide by 26: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -839 - -456"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -456 from -839: -839 - -456 = -383.\n</reasoning>\nFinal Answer: -383"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 491 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 491 × (1 - 75/100) = 491 × 0.25 = 122.75.\n</reasoning>\nFinal Answer: 122.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 / 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/18) ÷ (16/2) = (17/18) × (2/16) = 17/144.\n</reasoning>\nFinal Answer: 17/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 76, 47, 40, 27, 85, 72, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 76: 1, 47: 1, 40: 1, 27: 1, 85: 1, 72: 1, 2: 1}. Most frequent: [48, 76, 47, 40, 27, 85, 72, 2].\n</reasoning>\nFinal Answer: [48, 76, 47... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 50 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+50) × 44 = 1232.0.\n</reasoning>\nFinal Answer: 1232.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 207 ÷ 509"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 207 by 509. 207 ÷ 509 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 401 × -404"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 401 by -404: 401 × -404 = -162004.\n</reasoning>\nFinal Answer: -162004"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 42 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+42) × 18 = 765.0.\n</reasoning>\nFinal Answer: 765.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,160) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 34, 38, 3, 53, 42, 56, 77, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/9 = 40.8889.\n</reasoning>\nFinal Answer: 40.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 20 = -259"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 9x = -279. Divide by 9: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 32 * 18 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×18=576, then 7+576-33=550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "473 is what percentage of 880?"
},
{
"role": "assistant",
"content": "<reasoning>\n(473/880) × 100 = 53.75%.\n</reasoning>\nFinal Answer: 53.75%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 7 = -1059"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 26x = -1066. Divide by 26: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 13 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 12x = -180. Divide by 12: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-12)x + (27) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×1×27 = 36. √discriminant = 6. x = (-(-12) ± 6) / (2×1). Solutions: x = 9 or x = 3.\n</reasoning>\nFinal Answer: x = 9 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 371 km apart. Their speeds are 68 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+108=176 km/h. Time = 371/176 = 2.108 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/11 - 17/4. LCD = 44. Result = -175/44.\n</reasoning>\nFinal Answer: -175/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 43, 13, 68, 6, 63, 83, 4, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 4 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 91 = 5551.\n</reasoning>\nFinal Answer: 5551"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 95 = 950.0.\n</reasoning>\nFinal Answer: 950.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [91, 46, 28, 44, 68, 45, 35, 17, 26, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 418/10 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 17 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 17 = 340 worker-days. New time = 340 / 15 = 22.6667 days.\n</reasoning>\nFinal Answer: 22.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 189 and 79."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(189,79) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 12 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 58/60 = 12.9667 hours. Distance = speed × time = 69 × 12.9667 = 894.7 km.\n</reasoning>\nFinal Answer: 894.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 49, 34, 64, 31, 91, 56, 15, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 49: 1, 34: 1, 64: 1, 31: 1, 91: 1, 56: 1, 15: 1, 21: 1}. Most frequent: [83, 49, 34, 64, 31, 91, 56, 15, 21].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 30, 80, 4, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 4 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 194 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 194 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 10 = -286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 8x = -296. Divide by 8: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -10 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 29 + 24 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×29=406 and 24×7=168, then add: 574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 10, 13, 18, 19] and B = [1, 2, 5, 10, 14, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 13, 19].\n</reasoning>\nFinal Answer: [4, 6, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 / 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/1) ÷ (20/3) = (3/1) × (3/20) = 9/20.\n</reasoning>\nFinal Answer: 9/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×30)/6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33309 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33309 × 16 × 4 / 100 = 21317.76.\n</reasoning>\nFinal Answer: 21317.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -146 × 531"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -146 by 531: -146 × 531 = -77526.\n</reasoning>\nFinal Answer: -77526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 765?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 765 = (15/100) × 765 = 114.75.\n</reasoning>\nFinal Answer: 114.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 307 km apart. Their speeds are 119 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+107=226 km/h. Time = 307/226 = 1.3584 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 699 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 699 × (1 + 65/100) = 699 × 1.65 = 1153.35.\n</reasoning>\nFinal Answer: 1153.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 3 + 28 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×3=144 and 28×49=1372, then add: 1516.\n</reasoning>\nFinal Answer: 1516"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -673 - -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from -673: -673 - -14 = -659.\n</reasoning>\nFinal Answer: -659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 12] and B = [2, 3, 6, 12, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 8].\n</reasoning>\nFinal Answer: [4, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 99 = 8217.\n</reasoning>\nFinal Answer: 8217"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 32 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 32 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 1 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 40/60 = 1.6667 hours. Distance = speed × time = 161 × 1.6667 = 268.3333 km.\n</reasoning>\nFinal Answer: 268.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 64, 52, 96, 52, 95, 26, 76, 41, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 541/10 = 54.1.\n</reasoning>\nFinal Answer: 54.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:42 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/42, so B = A × (42/18) = 73 × 42/18 = 170.3333.\n</reasoning>\nFinal Answer: 170.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 - 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/18 - 5/11. LCD = 198. Result = 97/198.\n</reasoning>\nFinal Answer: 97/198"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 3 + 29 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×3=51 and 29×41=1189, then add: 1240.\n</reasoning>\nFinal Answer: 1240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 50% of 620?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 620 = (50/100) × 620 = 310.0.\n</reasoning>\nFinal Answer: 310.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 22, 81, 66, 51, 52, 42, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 6 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 103 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 103 + 44 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 3, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (43-1)×3 = 13 + 126 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 47 = 893.\n</reasoning>\nFinal Answer: 893"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×40 = 100. √discriminant = 10. x = (-(-30) ± 10) / (2×5). Solutions: x = 4 or x = 2.\n</reasoning>\nFinal Answer: x = 4 or x = 2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 47, 82, 81, 100, 80, 88, 43, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [35, 43, 47, 55, 80, 81, 82, 88, 100]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 43 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+43) × 7 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 677 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 677 × (1 - 35/100) = 677 × 0.65 = 440.05.\n</reasoning>\nFinal Answer: 440.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 3 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 11+9-40=-20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 6 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 27/60 = 6.4500 hours. Distance = speed × time = 199 × 6.4500 = 1283.55 km.\n</reasoning>\nFinal Answer: 1283.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -235 ÷ 895"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -235 by 895. -235 ÷ 895 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×20)/4 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×0 = 900. √discriminant = 30. x = (-(-30) ± 30) / (2×5). Solutions: x = 6 or x = 0.\n</reasoning>\nFinal Answer: x = 6 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -45 = 53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 7x = 98. Divide by 7: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 35 × -593"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 35 by -593: 35 × -593 = -20755.\n</reasoning>\nFinal Answer: -20755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 10, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (18-1)×10 = 15 + 170 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 / 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/17) ÷ (14/6) = (10/17) × (6/14) = 30/119.\n</reasoning>\nFinal Answer: 30/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 19 * 27 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×27=513, then 38+513-9=542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 581 × -402"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 581 by -402: 581 × -402 = -233562.\n</reasoning>\nFinal Answer: -233562"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43101 at 14% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43101 × 14 × 8 / 100 = 48273.12.\n</reasoning>\nFinal Answer: 48273.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 48, 12, 23, 61, 82, 37, 27, 32, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/10 = 42.1.\n</reasoning>\nFinal Answer: 42.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 15 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 1x = -48. Divide by 1: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -935 × 769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -935 by 769: -935 × 769 = -719015.\n</reasoning>\nFinal Answer: -719015"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 3 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 12/60 = 3.2000 hours. Distance = speed × time = 100 × 3.2000 = 320.0 km.\n</reasoning>\nFinal Answer: 320.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 237 km apart. Their speeds are 69 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+85=154 km/h. Time = 237/154 = 1.539 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 20 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(20+1) = 2×21 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 6 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 25/60 = 6.4167 hours. Distance = speed × time = 51 × 6.4167 = 327.25 km.\n</reasoning>\nFinal Answer: 327.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 266 km apart. Their speeds are 116 km/h and 55 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+55=171 km/h. Time = 266/171 = 1.5556 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 4, 16, 64, 256]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 1 and ratio 4. Next term = 256 × 4 = 1024.\n</reasoning>\nFinal Answer: 1024"
}
] | medium | [
"sequences",
"geometric_progression"
] |
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