messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 111 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 111 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 9, 13, 14, 15] and B = [7, 10, 18], 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": "Calculate: 414 ÷ 286"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 414 by 286. 414 ÷ 286 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 + 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/15 + 12/13. Common denominator = 195. Result = 232/195.\n</reasoning>\nFinal Answer: 232/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 569 - -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -79 from 569: 569 - -79 = 648.\n</reasoning>\nFinal Answer: 648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 / 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/16) ÷ (4/14) = (1/16) × (14/4) = 7/32.\n</reasoning>\nFinal Answer: 7/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 790 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from 790: 790 - 2 = 788.\n</reasoning>\nFinal Answer: 788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 32 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+32) × 37 = 906.5.\n</reasoning>\nFinal Answer: 906.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 - 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/3 - 10/17. LCD = 51. Result = 157/51.\n</reasoning>\nFinal Answer: 157/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 43 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+43) × 8 = 232.0.\n</reasoning>\nFinal Answer: 232.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 5, 98, 67, 91, 50, 66, 68, 37, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 2, 5: 1, 98: 1, 67: 1, 50: 1, 66: 1, 68: 1, 37: 1, 75: 1}. Most frequent: 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -11 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 5x = -40. Divide by 5: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 36 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -19 = 506"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 21x = 525. Divide by 21: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 16 + -707"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 16 and -707: 16 + -707 = -691.\n</reasoning>\nFinal Answer: -691"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 21 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 44+441-15=470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 833 km apart. Their speeds are 120 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+47=167 km/h. Time = 833/167 = 4.988 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 32 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+32) × 9 = 189.0.\n</reasoning>\nFinal Answer: 189.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 36, 43, 50, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 7. Next term = 57 + 7 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-32)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×4×-80 = 2304. √discriminant = 48. x = (-(-32) ± 48) / (2×4). Solutions: x = -2 or x = 10.\n</reasoning>\nFinal Answer: x = -2 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 - 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/16 - 4/4. LCD = 8. Result = -5/8.\n</reasoning>\nFinal Answer: -5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 5, 42, 20, 55, 24, 1, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 5: 1, 42: 1, 20: 1, 55: 1, 24: 1, 1: 1, 33: 1}. Most frequent: [19, 5, 42, 20, 55, 24, 1, 33].\n</reasoning>\nFinal Answer: [19, 5, 42, 20... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 17% of 649?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 649 = (17/100) × 649 = 110.33.\n</reasoning>\nFinal Answer: 110.33"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -662 ÷ 874"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -662 by 874. -662 ÷ 874 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 48 = 188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 10x = 140. Divide by 10: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 42, 88, 88, 33, 48, 97, 56, 88, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 33 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 13 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 11+169-16=164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -19 = -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 5x = -230. Divide by 5: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:6 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/6, so B = A × (6/26) = 49 × 6/26 = 11.3077.\n</reasoning>\nFinal Answer: 11.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/4) ÷ (12/18) = (13/4) × (18/12) = 39/8.\n</reasoning>\nFinal Answer: 39/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 6 * 8 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×8=48, then 2+48-49=1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-6)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×2×-36 = 324. √discriminant = 18. x = (-(-6) ± 18) / (2×2). Solutions: x = -3 or x = 6.\n</reasoning>\nFinal Answer: x = -3 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (1/3) = (11/36) = 11/36 after simplification.\n</reasoning>\nFinal Answer: 11/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 440 + -69"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 440 and -69: 440 + -69 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (12/19) = (1/2) × (19/12) = 19/24.\n</reasoning>\nFinal Answer: 19/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 422 - -123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -123 from 422: 422 - -123 = 545.\n</reasoning>\nFinal Answer: 545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 590?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 590 = (25/100) × 590 = 147.5.\n</reasoning>\nFinal Answer: 147.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 2 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 42 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 42 × 46 = 1932.\n</reasoning>\nFinal Answer: 1932"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 71, 53, 25, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 3 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 157 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 157 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 948 - -293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -293 from 948: 948 - -293 = 1241.\n</reasoning>\nFinal Answer: 1241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×3)/1 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 571 × -836"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 571 by -836: 571 × -836 = -477356.\n</reasoning>\nFinal Answer: -477356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/14 - 15/18. LCD = 42. Result = -10/21.\n</reasoning>\nFinal Answer: -10/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (13/9) = (65/108) = 65/108 after simplification.\n</reasoning>\nFinal Answer: 65/108"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 9 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 9 = 135 worker-days. New time = 135 / 5 = 27.0 days.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 105 + 594"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 105 and 594: 105 + 594 = 699.\n</reasoning>\nFinal Answer: 699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 40 * 32 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×32=1280, then 26+1280-7=1299.\n</reasoning>\nFinal Answer: 1299"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 20) * (21 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+20)=47, (21-9)=12, then 47×12=564.\n</reasoning>\nFinal Answer: 564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 5, 100, 13, 76, 30, 27, 31, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 2, 5: 1, 100: 1, 13: 1, 76: 1, 30: 1, 31: 1, 17: 1}. Most frequent: 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 99, 55, 66, 61, 24, 40, 99, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 39, 40, 51, 55, 61, 66, 99, 99]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [11, 14, 17] and B = [5, 10, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 10, 11, 14, 15, 17].\n</reasoning>\nFinal Answer: [5, 10, 11, 14, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -336 × -41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -336 by -41: -336 × -41 = 13776.\n</reasoning>\nFinal Answer: 13776"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 14 * 46 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×46=644, then 30+644-4=670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 135 km/h. How far does it travel in 12 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 7/60 = 12.1167 hours. Distance = speed × time = 135 × 12.1167 = 1635.75 km.\n</reasoning>\nFinal Answer: 1635.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 32 = 96.0.\n</reasoning>\nFinal Answer: 96.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 511 + 851"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 511 and 851: 511 + 851 = 1362.\n</reasoning>\nFinal Answer: 1362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 17 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 17 = 204 worker-days. New time = 204 / 16 = 12.75 days.\n</reasoning>\nFinal Answer: 12.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 4 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 4 × 84 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -42 = -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 30x = -450. Divide by 30: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 - 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/6 - 7/16. LCD = 48. Result = 59/48.\n</reasoning>\nFinal Answer: 59/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 780 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 780 × (1 - 70/100) = 780 × 0.30000000000000004 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 8, 40, 37, 47, 59, 76, 77, 39, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 472/10 = 47.2.\n</reasoning>\nFinal Answer: 47.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 9, 17] and B = [8, 11, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 8, 9, 11, 14, 17].\n</reasoning>\nFinal Answer: [1, 3, 4, 8, 9, 11, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 / 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/2) ÷ (19/3) = (16/2) × (3/19) = 24/19.\n</reasoning>\nFinal Answer: 24/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 / 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/16) ÷ (1/12) = (5/16) × (12/1) = 15/4.\n</reasoning>\nFinal Answer: 15/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:18 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/18, so B = A × (18/38) = 77 × 18/38 = 36.4737.\n</reasoning>\nFinal Answer: 36.4737"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:50 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/50, so B = A × (50/25) = 40 × 50/25 = 80.0.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 8 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:24 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/24, so B = A × (24/24) = 65 × 24/24 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 12, 13, 16] and B = [2, 4, 6, 7, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 7, 12, 13, 16, 18].\n</reasoning>\nFinal Answer: [2, 4, 6, 7, 12, 13, 16, 18]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -25 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 4x = 132. Divide by 4: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 + 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/15 + 1/14. Common denominator = 210. Result = 211/210.\n</reasoning>\nFinal Answer: 211/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 37, 88, 49, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 16 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:19 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/19, so B = A × (19/38) = 73 × 19/38 = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 846 × 896"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 846 by 896: 846 × 896 = 758016.\n</reasoning>\nFinal Answer: 758016"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 88 = 1408.\n</reasoning>\nFinal Answer: 1408"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -35 ÷ -150"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -35 by -150. -35 ÷ -150 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -44 = -824"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 20x = -780. Divide by 20: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 96, 31, 7, 52, 92, 84, 82, 26, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 635/10 = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+2) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 48 + 5 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×48=1152 and 5×6=30, then add: 1182.\n</reasoning>\nFinal Answer: 1182"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 1, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (23-1)×1 = 45 + 22 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (9/11) = (54/198) = 3/11 after simplification.\n</reasoning>\nFinal Answer: 3/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 9 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 6x = 126. Divide by 6: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 62 = 2573.0.\n</reasoning>\nFinal Answer: 2573.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 7 + 3 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×7=84 and 3×48=144, then add: 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×18)/18 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -32 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 6x = -30. Divide by 6: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/7) ÷ (20/20) = (8/7) × (20/20) = 8/7.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 11, 12, 14, 16] and B = [3, 10, 14, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -51 + -966"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -51 and -966: -51 + -966 = -1017.\n</reasoning>\nFinal Answer: -1017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -175 - 842"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 842 from -175: -175 - 842 = -1017.\n</reasoning>\nFinal Answer: -1017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 377 - -400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -400 from 377: 377 - -400 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 37 = 980.5.\n</reasoning>\nFinal Answer: 980.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:28 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/28, so B = A × (28/1) = 86 × 28/1 = 2408.0.\n</reasoning>\nFinal Answer: 2408.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 20, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (49-1)×20 = 10 + 960 = 970.\n</reasoning>\nFinal Answer: 970"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -113 × 697"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -113 by 697: -113 × 697 = -78761.\n</reasoning>\nFinal Answer: -78761"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 107 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(107,39) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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