messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22953 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22953 × 18 × 5 / 100 = 20657.7.\n</reasoning>\nFinal Answer: 20657.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 909 ÷ 272"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 909 by 272. 909 ÷ 272 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 630 + -260"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 630 and -260: 630 + -260 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 14] and B = [1, 3, 5, 6, 13, 14, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 13, 14, 15, 18].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 13, 14, 15, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 150 × 670"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 150 by 670: 150 × 670 = 100500.\n</reasoning>\nFinal Answer: 100500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 37, 81, 27, 73, 39, 93, 14, 96, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 508/10 = 50.8.\n</reasoning>\nFinal Answer: 50.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 45 = 666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 27x = 621. Divide by 27: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:36 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/36, so B = A × (36/49) = 92 × 36/49 = 67.5918.\n</reasoning>\nFinal Answer: 67.5918"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 742 + -299"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 742 and -299: 742 + -299 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -347 + 491"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -347 and 491: -347 + 491 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 774 + -661"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 774 and -661: 774 + -661 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 11 * 28 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×28=308, then 7+308-19=296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 26 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 45+676-47=674.\n</reasoning>\nFinal Answer: 674"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 + 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/1 + 19/5. Common denominator = 5. Result = 114/5.\n</reasoning>\nFinal Answer: 114/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/17 - 15/18. LCD = 102. Result = 35/102.\n</reasoning>\nFinal Answer: 35/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 487 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 487 × (1 - 75/100) = 487 × 0.25 = 121.75.\n</reasoning>\nFinal Answer: 121.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 8 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 33+64-22=75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 63 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(63+79) = 2×142 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:28 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/28, so B = A × (28/10) = 55 × 28/10 = 154.0.\n</reasoning>\nFinal Answer: 154.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -772 + -540"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -772 and -540: -772 + -540 = -1312.\n</reasoning>\nFinal Answer: -1312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -33 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 2x = -62. Divide by 2: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 2, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (34-1)×2 = 19 + 66 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -275 mod -70"
},
{
"role": "assistant",
"content": "<reasoning>\n-275 mod -70: -275 = -70 × 3 + -65, so remainder = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 78, 93, 29, 53, 82, 83, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 480/8 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 + 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/18 + 19/19. Common denominator = 18. Result = 35/18.\n</reasoning>\nFinal Answer: 35/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 76, 24, 24, 15, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 222/6 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 27 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 7x = -294. Divide by 7: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 546 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 546 × (1 - 100/100) = 546 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 35 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(35,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 44, 58, 72, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 14. Next term = 86 + 14 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 20, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 20 + 37 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 64 = 1696.0.\n</reasoning>\nFinal Answer: 1696.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 4, 21, 52, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 273/5 = 54.6.\n</reasoning>\nFinal Answer: 54.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 18 = 378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 24x = 360. Divide by 24: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 81, 16, 17, 51, 70, 65, 74, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 16, 17, 50, 51, 65, 70, 74, 81]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 820 - 611"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 611 from 820: 820 - 611 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×42)/3 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:35 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/35, so B = A × (35/28) = 95 × 35/28 = 118.75.\n</reasoning>\nFinal Answer: 118.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 13, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (22-1)×13 = 48 + 273 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 38 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 19+1444-37=1426.\n</reasoning>\nFinal Answer: 1426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 9, 11, 19] and B = [3, 12, 13, 16], 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: 816 - 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 192 from 816: 816 - 192 = 624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (10/14) = (120/168) = 5/7 after simplification.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 327 - 948"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 948 from 327: 327 - 948 = -621.\n</reasoning>\nFinal Answer: -621"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 19 = -153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 4x = -172. Divide by 4: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×34)/2 = 442.\n</reasoning>\nFinal Answer: 442"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 + 11/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/13 + 11/15. Common denominator = 195. Result = 188/195.\n</reasoning>\nFinal Answer: 188/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 653 × -722"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 653 by -722: 653 × -722 = -471466.\n</reasoning>\nFinal Answer: -471466"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:26 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/26, so B = A × (26/40) = 59 × 26/40 = 38.35.\n</reasoning>\nFinal Answer: 38.35"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 / 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/13) ÷ (6/17) = (11/13) × (17/6) = 187/78.\n</reasoning>\nFinal Answer: 187/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 27, 46, 46, 46, 4, 37, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 4 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2607. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2607 × 12/100 = 312.84. Total = 2607 + 312.84 = 2919.84.\n</reasoning>\nFinal Answer: 2919.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:11 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/11, so B = A × (11/21) = 74 × 11/21 = 38.7619.\n</reasoning>\nFinal Answer: 38.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -33 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 20x = 20. Divide by 20: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21243 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21243 × 17 × 3 / 100 = 10833.93.\n</reasoning>\nFinal Answer: 10833.93"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 - 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/12 - 9/17. LCD = 68. Result = 15/68.\n</reasoning>\nFinal Answer: 15/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 83 = 5893.\n</reasoning>\nFinal Answer: 5893"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 964 × 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 964 by 26: 964 × 26 = 25064.\n</reasoning>\nFinal Answer: 25064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -34 = 426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 10x = 460. Divide by 10: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 59, 17, 57, 49, 78, 88, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 17 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:35 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/35, so B = A × (35/47) = 99 × 35/47 = 73.7234.\n</reasoning>\nFinal Answer: 73.7234"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -570 mod -350"
},
{
"role": "assistant",
"content": "<reasoning>\n-570 mod -350: -570 = -350 × 1 + -220, so remainder = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 162 km/h. How far does it travel in 9 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 29/60 = 9.4833 hours. Distance = speed × time = 162 × 9.4833 = 1536.3 km.\n</reasoning>\nFinal Answer: 1536.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 27, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 27 + 28 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 4) * (44 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+4)=33, (44-49)=-5, then 33×-5=-165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹190. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 190 × 18/100 = 34.2. Total = 190 + 34.2 = 224.2.\n</reasoning>\nFinal Answer: 224.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 520 × 273"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 520 by 273: 520 × 273 = 141960.\n</reasoning>\nFinal Answer: 141960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 629 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 629 × (1 + 90/100) = 629 × 1.9 = 1195.1.\n</reasoning>\nFinal Answer: 1195.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 150 + -436"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 150 and -436: 150 + -436 = -286.\n</reasoning>\nFinal Answer: -286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 986 mod 450"
},
{
"role": "assistant",
"content": "<reasoning>\n986 mod 450: 986 = 450 × 2 + 86, so remainder = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 673 + -135"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 673 and -135: 673 + -135 = 538.\n</reasoning>\nFinal Answer: 538"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 811 - 440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 440 from 811: 811 - 440 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 70 - 626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 626 from 70: 70 - 626 = -556.\n</reasoning>\nFinal Answer: -556"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 14, 16, 17, 19] and B = [4, 9, 11, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 10, 14, 16, 19].\n</reasoning>\nFinal Answer: [1, 10, 14, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (20)x + (-25) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×5×-25 = 900. √discriminant = 30. x = (-(20) ± 30) / (2×5). Solutions: x = -5 or x = 1.\n</reasoning>\nFinal Answer: x = -5 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 87 ÷ -750"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 87 by -750. 87 ÷ -750 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43348 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43348 × 19 × 7 / 100 = 57652.84.\n</reasoning>\nFinal Answer: 57652.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 11 = 269.5.\n</reasoning>\nFinal Answer: 269.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 13, 17, 18] and B = [9, 11, 13, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 33) * (22 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+33)=69, (22-39)=-17, then 69×-17=-1173.\n</reasoning>\nFinal Answer: -1173"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 * 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/19) × (4/10) = (28/190) = 14/95 after simplification.\n</reasoning>\nFinal Answer: 14/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 58, 80, 59, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 245/5 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (8/2) = (4/9) × (2/8) = 1/9.\n</reasoning>\nFinal Answer: 1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -757 × -10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -757 by -10: -757 × -10 = 7570.\n</reasoning>\nFinal Answer: 7570"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 38 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 38 × 83 = 3154.\n</reasoning>\nFinal Answer: 3154"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 26, 2, 55, 37, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 2 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -329 mod -312"
},
{
"role": "assistant",
"content": "<reasoning>\n-329 mod -312: -329 = -312 × 1 + -17, so remainder = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 14 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 14 = 182 worker-days. New time = 182 / 19 = 9.5789 days.\n</reasoning>\nFinal Answer: 9.5789"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 12, 15, 17, 19] and B = [1, 3, 4, 5, 9], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5].\n</reasoning>\nFinal Answer: [5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 10, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (23-1)×10 = 43 + 220 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹328. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 328 × 28/100 = 91.84. Total = 328 + 91.84 = 419.84.\n</reasoning>\nFinal Answer: 419.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 34 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+34) × 3 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 51 = 2499.0.\n</reasoning>\nFinal Answer: 2499.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 46, 80, 20, 10, 12, 57, 28, 41, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 46: 1, 80: 1, 20: 2, 10: 1, 12: 1, 57: 1, 28: 1, 41: 1}. Most frequent: 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 36 * 12 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×12=432, then 25+432-39=418.\n</reasoning>\nFinal Answer: 418"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 43 = 645.\n</reasoning>\nFinal Answer: 645"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 51, 23, 51, 36, 93, 72, 47, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 51: 2, 23: 1, 36: 1, 93: 1, 72: 1, 47: 1, 53: 1}. Most frequent: 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "34 is what percentage of 790?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/790) × 100 = 4.3038%.\n</reasoning>\nFinal Answer: 4.3038%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 29 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 29 × (1 + 5/100) = 29 × 1.05 = 30.45.\n</reasoning>\nFinal Answer: 30.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 6 + 22 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×6=228 and 22×24=528, then add: 756.\n</reasoning>\nFinal Answer: 756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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