messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3458 at 12% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3458 × 12 × 2 / 100 = 829.92.\n</reasoning>\nFinal Answer: 829.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (60)x + (175) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×5×175 = 100. √discriminant = 10. x = (-(60) ± 10) / (2×5). Solutions: x = -5 or x = -7.\n</reasoning>\nFinal Answer: x = -5 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×28)/1 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 631 mod 958"
},
{
"role": "assistant",
"content": "<reasoning>\n631 mod 958: 631 = 958 × 0 + 631, so remainder = 631.\n</reasoning>\nFinal Answer: 631"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×35)/1 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 219 mod 812"
},
{
"role": "assistant",
"content": "<reasoning>\n219 mod 812: 219 = 812 × 0 + 219, so remainder = 219.\n</reasoning>\nFinal Answer: 219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 16/17. Common denominator = 238. Result = 241/238.\n</reasoning>\nFinal Answer: 241/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 48 = 1776.\n</reasoning>\nFinal Answer: 1776"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 497 mod 26"
},
{
"role": "assistant",
"content": "<reasoning>\n497 mod 26: 497 = 26 × 19 + 3, so remainder = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "114 is what percentage of 348?"
},
{
"role": "assistant",
"content": "<reasoning>\n(114/348) × 100 = 32.7586%.\n</reasoning>\nFinal Answer: 32.7586%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (36)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 36² - 4×3×60 = 576. √discriminant = 24. x = (-(36) ± 24) / (2×3). Solutions: x = -2 or x = -10.\n</reasoning>\nFinal Answer: x = -2 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 49 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:14 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/14, so B = A × (14/41) = 97 × 14/41 = 33.122.\n</reasoning>\nFinal Answer: 33.122"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 68 = 476.0.\n</reasoning>\nFinal Answer: 476.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 2 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 2 × (1 - 30/100) = 2 × 0.7 = 1.4.\n</reasoning>\nFinal Answer: 1.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-3)x + (-28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×1×-28 = 121. √discriminant = 11. x = (-(-3) ± 11) / (2×1). Solutions: x = -4 or x = 7.\n</reasoning>\nFinal Answer: x = -4 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/14) ÷ (6/20) = (1/14) × (20/6) = 5/21.\n</reasoning>\nFinal Answer: 5/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 367 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 367 × (1 - 30/100) = 367 × 0.7 = 256.9.\n</reasoning>\nFinal Answer: 256.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:1 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/1, so B = A × (1/12) = 36 × 1/12 = 3.0.\n</reasoning>\nFinal Answer: 3.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 758 mod -532"
},
{
"role": "assistant",
"content": "<reasoning>\n758 mod -532: 758 = -532 × -2 + -306, so remainder = -306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 37 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+37) × 24 = 564.0.\n</reasoning>\nFinal Answer: 564.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -45 = -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 55, 78, 61, 7, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 55: 1, 78: 1, 61: 1, 7: 1, 85: 1}. Most frequent: [13, 55, 78, 61, 7, 85].\n</reasoning>\nFinal Answer: [13, 55, 78, 61, 7, 85]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+60) = 2×154 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 62, 74, 86, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 12. Next term = 98 + 12 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 678 mod -231"
},
{
"role": "assistant",
"content": "<reasoning>\n678 mod -231: 678 = -231 × -3 + -15, so remainder = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 302 ÷ 750"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 302 by 750. 302 ÷ 750 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:41 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/41, so B = A × (41/47) = 38 × 41/47 = 33.1489.\n</reasoning>\nFinal Answer: 33.1489"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 904?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 904 = (17/100) × 904 = 153.68.\n</reasoning>\nFinal Answer: 153.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 22, 94, 85, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 22 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 58, 53, 15, 66, 32, 67, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 15 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 13 + 5 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×13=377 and 5×34=170, then add: 547.\n</reasoning>\nFinal Answer: 547"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -23 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 3x = -72. Divide by 3: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:24 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/24, so B = A × (24/26) = 50 × 24/26 = 46.1538.\n</reasoning>\nFinal Answer: 46.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 94, 19, 58, 15, 59, 78, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 3 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:37 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/37, so B = A × (37/26) = 52 × 37/26 = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -315 mod 211"
},
{
"role": "assistant",
"content": "<reasoning>\n-315 mod 211: -315 = 211 × -2 + 107, so remainder = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 44 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 13x = 598. Divide by 13: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -46 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 4x = -8. Divide by 4: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-15)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×5×-90 = 2025. √discriminant = 45. x = (-(-15) ± 45) / (2×5). Solutions: x = -3 or x = 6.\n</reasoning>\nFinal Answer: x = -3 or x = 6... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 47) * (6 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+47)=77, (6-50)=-44, then 77×-44=-3388.\n</reasoning>\nFinal Answer: -3388"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -26 = -490"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 16x = -464. Divide by 16: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 32 * 8 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×8=256, then 49+256-7=298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1154. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1154 × 18/100 = 207.72. Total = 1154 + 207.72 = 1361.72.\n</reasoning>\nFinal Answer: 1361.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 74 km/h. How far does it travel in 8 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 42/60 = 8.7000 hours. Distance = speed × time = 74 × 8.7000 = 643.8 km.\n</reasoning>\nFinal Answer: 643.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -747 - 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 937 from -747: -747 - 937 = -1684.\n</reasoning>\nFinal Answer: -1684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 12 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 19+144-2=161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 74, 55, 43, 98, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 403/6 = 67.1667.\n</reasoning>\nFinal Answer: 67.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 946 mod -789"
},
{
"role": "assistant",
"content": "<reasoning>\n946 mod -789: 946 = -789 × -2 + -632, so remainder = -632.\n</reasoning>\nFinal Answer: -632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 7 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 7/14 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4342 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4342 × 18 × 5 / 100 = 3907.8.\n</reasoning>\nFinal Answer: 3907.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 69 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 69 × 85 = 2932.5.\n</reasoning>\nFinal Answer: 2932.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:42 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/42, so B = A × (42/12) = 97 × 42/12 = 339.5.\n</reasoning>\nFinal Answer: 339.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+50) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 41 * 29 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×29=1189, then 41+1189-28=1202.\n</reasoning>\nFinal Answer: 1202"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 22, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 22 + 23 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 44) * (33 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+44)=92, (33-22)=11, then 92×11=1012.\n</reasoning>\nFinal Answer: 1012"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 10, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (48-1)×10 = 16 + 470 = 486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -241 - -632"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -632 from -241: -241 - -632 = 391.\n</reasoning>\nFinal Answer: 391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 783 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 783 × (1 - 3/100) = 783 × 0.97 = 759.51.\n</reasoning>\nFinal Answer: 759.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 - 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/9 - 7/3. LCD = 9. Result = -2/9.\n</reasoning>\nFinal Answer: -2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 - 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/9 - 8/2. LCD = 9. Result = -26/9.\n</reasoning>\nFinal Answer: -26/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 28, 2, 72, 70, 57, 17, 16, 23, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 28: 1, 2: 1, 72: 1, 70: 1, 57: 1, 17: 1, 16: 1, 23: 1, 45: 1}. Most frequent: [87, 28, 2, 72, 70, 57, 17, 16, 23, 45].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -3 = -246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 27x = -243. Divide by 27: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:15 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/15, so B = A × (15/42) = 56 × 15/42 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 9, 86, 68, 22, 66, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 371/7 = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 35% of 946?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 946 = (35/100) × 946 = 331.1.\n</reasoning>\nFinal Answer: 331.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 7 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 47/60 = 7.7833 hours. Distance = speed × time = 76 × 7.7833 = 591.5333 km.\n</reasoning>\nFinal Answer: 591.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 / 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/20) ÷ (18/13) = (13/20) × (13/18) = 169/360.\n</reasoning>\nFinal Answer: 169/360"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 200 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n200 = 2 × 100, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 16, 17] and B = [2, 10, 11, 12, 13, 14, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 10, 11, 12, 13, 14, 16, 17, 18].\n</reasoning>\nFinal Answer: [2, 3, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 9, 13] and B = [3, 8, 9], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 33 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 12+1089-19=1082.\n</reasoning>\nFinal Answer: 1082"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37977 at 10% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37977 × 10 × 8 / 100 = 30381.6.\n</reasoning>\nFinal Answer: 30381.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 122 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 122 + 156 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:18 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/18, so B = A × (18/36) = 92 × 18/36 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -50 = -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 5x = -105. Divide by 5: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -632 - -781"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -781 from -632: -632 - -781 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+33) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 23, 32, 41, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 9. Next term = 50 + 9 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 39 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 39 × (1 + 45/100) = 39 × 1.45 = 56.55.\n</reasoning>\nFinal Answer: 56.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 41, 100, 64, 33, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 412/6 = 68.6667.\n</reasoning>\nFinal Answer: 68.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -17 = 326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 7x = 343. Divide by 7: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3737. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3737 × 12/100 = 448.44. Total = 3737 + 448.44 = 4185.44.\n</reasoning>\nFinal Answer: 4185.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 13, 62, 57, 65, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 57, 62, 65, 85, 100]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 19 = -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [17, 83, 5, 58, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 5 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-18)x + (-21) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×3×-21 = 576. √discriminant = 24. x = (-(-18) ± 24) / (2×3). Solutions: x = -1 or x = 7.\n</reasoning>\nFinal Answer: x = -1 or x = 7"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹1975. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1975 × 18/100 = 355.5. Total = 1975 + 355.5 = 2330.5.\n</reasoning>\nFinal Answer: 2330.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 - 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/14 - 8/9. LCD = 63. Result = -2/63.\n</reasoning>\nFinal Answer: -2/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -1 = -1471"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 30x = -1470. Divide by 30: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -561 ÷ 394"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -561 by 394. -561 ÷ 394 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 34 and 149."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(34,149) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -31 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 9x = 18. Divide by 9: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 644 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 644 × (1 + 20/100) = 644 × 1.2 = 772.8.\n</reasoning>\nFinal Answer: 772.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 813 mod 938"
},
{
"role": "assistant",
"content": "<reasoning>\n813 mod 938: 813 = 938 × 0 + 813, so remainder = 813.\n</reasoning>\nFinal Answer: 813"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 35 + 28 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×35=1645 and 28×29=812, then add: 2457.\n</reasoning>\nFinal Answer: 2457"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 18) * (12 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+18)=34, (12-7)=5, then 34×5=170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -4 = 1088"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 26x = 1092. Divide by 26: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 13 = -499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 16x = -512. Divide by 16: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
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