messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26356 at 15% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26356 × 15 × 2 / 100 = 7906.8.\n</reasoning>\nFinal Answer: 7906.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -391 mod 781"
},
{
"role": "assistant",
"content": "<reasoning>\n-391 mod 781: -391 = 781 × -1 + 390, so remainder = 390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -466 + 452"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -466 and 452: -466 + 452 = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 30 + 40 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×30=750 and 40×5=200, then add: 950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 584 km apart. Their speeds are 87 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+76=163 km/h. Time = 584/163 = 3.5828 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 4 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 4 × 62 = 124.0.\n</reasoning>\nFinal Answer: 124.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 27, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 27 + 31 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 6 = 348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 18x = 342. Divide by 18: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 86, 85, 99, 37, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 86: 1, 85: 1, 99: 1, 37: 1, 55: 1}. Most frequent: [22, 86, 85, 99, 37, 55].\n</reasoning>\nFinal Answer: [22, 86, 85, 99, 37, 55]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 94 + 751"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 94 and 751: 94 + 751 = 845.\n</reasoning>\nFinal Answer: 845"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×44)/2 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:40 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/40, so B = A × (40/2) = 36 × 40/2 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -9 = 739"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 22x = 748. Divide by 22: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 16, 19] and B = [2, 6, 13], 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": "Find the GCD (Greatest Common Divisor) of 4 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(4,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 11/1. Common denominator = 12. Result = 139/12.\n</reasoning>\nFinal Answer: 139/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 32 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 1x = 41. Divide by 1: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 2/16. LCD = 8. Result = 23/8.\n</reasoning>\nFinal Answer: 23/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 317."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 317 by smallest primes repeatedly: 317 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "448 is what percentage of 661?"
},
{
"role": "assistant",
"content": "<reasoning>\n(448/661) × 100 = 67.7761%.\n</reasoning>\nFinal Answer: 67.7761%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 171 km/h. How far does it travel in 10 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 40/60 = 10.6667 hours. Distance = speed × time = 171 × 10.6667 = 1824.0 km.\n</reasoning>\nFinal Answer: 1824.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 48, 57, 66, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 9. Next term = 75 + 9 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 7, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (41-1)×7 = 34 + 280 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 60, 22, 72, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 60: 1, 22: 1, 72: 1, 99: 1}. Most frequent: [18, 60, 22, 72, 99].\n</reasoning>\nFinal Answer: [18, 60, 22, 72, 99]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 328 - 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 352 from 328: 328 - 352 = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 92, 42, 92, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 249/5 = 49.8.\n</reasoning>\nFinal Answer: 49.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -608 - 507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 507 from -608: -608 - 507 = -1115.\n</reasoning>\nFinal Answer: -1115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:41 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/41, so B = A × (41/41) = 17 × 41/41 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×16)/2 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 159 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:19 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/19, so B = A × (19/5) = 69 × 19/5 = 262.2.\n</reasoning>\nFinal Answer: 262.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 17) * (1 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+17)=21, (1-33)=-32, then 21×-32=-672.\n</reasoning>\nFinal Answer: -672"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 + 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/6 + 5/3. Common denominator = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 13 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 13 = 234 worker-days. New time = 234 / 16 = 14.625 days.\n</reasoning>\nFinal Answer: 14.625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 8, 63, 87, 8, 93, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 8, 28, 30, 63, 87, 93]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 9/18 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 839 mod -676"
},
{
"role": "assistant",
"content": "<reasoning>\n839 mod -676: 839 = -676 × -2 + -513, so remainder = -513.\n</reasoning>\nFinal Answer: -513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "105 is what percentage of 158?"
},
{
"role": "assistant",
"content": "<reasoning>\n(105/158) × 100 = 66.4557%.\n</reasoning>\nFinal Answer: 66.4557%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -794 × -887"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -794 by -887: -794 × -887 = 704278.\n</reasoning>\nFinal Answer: 704278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 - 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/20 - 8/16. LCD = 20. Result = -9/20.\n</reasoning>\nFinal Answer: -9/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -17 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 13x = 91. Divide by 13: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 191 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 525 - 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 527 from 525: 525 - 527 = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 23 = -453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 28x = -476. Divide by 28: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 803 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 803 × (1 + 60/100) = 803 × 1.6 = 1284.8.\n</reasoning>\nFinal Answer: 1284.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 84 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 84 × (1 + 45/100) = 84 × 1.45 = 121.8.\n</reasoning>\nFinal Answer: 121.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 12 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+12) × 48 = 864.0.\n</reasoning>\nFinal Answer: 864.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 36 + 34 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×36=1404 and 34×18=612, then add: 2016.\n</reasoning>\nFinal Answer: 2016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 13 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(13+23) = 2×36 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 8 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/12 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×40)/1 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 26 * 33 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×33=858, then 9+858-14=853.\n</reasoning>\nFinal Answer: 853"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 11 = 275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 12x = 264. Divide by 12: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 6 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 6 = 84 worker-days. New time = 84 / 20 = 4.2 days.\n</reasoning>\nFinal Answer: 4.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 163 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 62, 78, 94, 110]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 16. Next term = 110 + 16 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 32 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 39+1024-3=1060.\n</reasoning>\nFinal Answer: 1060"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 / 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/16) ÷ (4/17) = (4/16) × (17/4) = 17/16.\n</reasoning>\nFinal Answer: 17/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -6 = -538"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 28x = -532. Divide by 28: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 21) * (17 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+21)=28, (17-15)=2, then 28×2=56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 825 + 735"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 825 and 735: 825 + 735 = 1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 9 * 40 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×40=360, then 15+360-34=341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 / 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/9) ÷ (14/16) = (17/9) × (16/14) = 136/63.\n</reasoning>\nFinal Answer: 136/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 15, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (39-1)×15 = 9 + 570 = 579.\n</reasoning>\nFinal Answer: 579"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 30 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 30 = 210 worker-days. New time = 210 / 19 = 11.0526 days.\n</reasoning>\nFinal Answer: 11.0526"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 44 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+44) × 1 = 24.5.\n</reasoning>\nFinal Answer: 24.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 46, 54, 29, 78, 77, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 347/7 = 49.5714.\n</reasoning>\nFinal Answer: 49.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 - 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/17 - 20/3. LCD = 51. Result = -313/51.\n</reasoning>\nFinal Answer: -313/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 21 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 11x = -132. Divide by 11: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 576 ÷ 24"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 576 by 24. 576 ÷ 24 = 24 (integer division).\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:37 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/37, so B = A × (37/43) = 98 × 37/43 = 84.3256.\n</reasoning>\nFinal Answer: 84.3256"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 19, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (39-1)×19 = 7 + 722 = 729.\n</reasoning>\nFinal Answer: 729"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 168 mod -980"
},
{
"role": "assistant",
"content": "<reasoning>\n168 mod -980: 168 = -980 × -1 + -812, so remainder = -812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 218 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 218 × (1 + 70/100) = 218 × 1.7 = 370.6.\n</reasoning>\nFinal Answer: 370.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 24 apples and buys 120 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 24 + 120 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 31 = -521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 24x = -552. Divide by 24: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/8) ÷ (17/7) = (18/8) × (7/17) = 63/68.\n</reasoning>\nFinal Answer: 63/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 28 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 20+784-21=783.\n</reasoning>\nFinal Answer: 783"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -814 + -634"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -814 and -634: -814 + -634 = -1448.\n</reasoning>\nFinal Answer: -1448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:6 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/6, so B = A × (6/9) = 74 × 6/9 = 49.3333.\n</reasoning>\nFinal Answer: 49.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 139 + 39"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 139 and 39: 139 + 39 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16319 at 19% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16319 × 19 × 3 / 100 = 9301.83.\n</reasoning>\nFinal Answer: 9301.83"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 / 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/12) ÷ (9/5) = (3/12) × (5/9) = 5/36.\n</reasoning>\nFinal Answer: 5/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 919 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 919 × (1 - 90/100) = 919 × 0.09999999999999998 = 91.9.\n</reasoning>\nFinal Answer: 91.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -773 - -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -57 from -773: -773 - -57 = -716.\n</reasoning>\nFinal Answer: -716"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 89 = 1246.\n</reasoning>\nFinal Answer: 1246"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 725 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 725 × (1 + 100/100) = 725 × 2.0 = 1450.0.\n</reasoning>\nFinal Answer: 1450.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 81, 35, 66, 48, 91, 41, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 35, 41, 48, 66, 79, 81, 91]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 691 ÷ -690"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 691 by -690. 691 ÷ -690 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 / 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/5) ÷ (18/16) = (6/5) × (16/18) = 16/15.\n</reasoning>\nFinal Answer: 16/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -618 mod -628"
},
{
"role": "assistant",
"content": "<reasoning>\n-618 mod -628: -618 = -628 × 0 + -618, so remainder = -618.\n</reasoning>\nFinal Answer: -618"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -30 = -849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 21x = -819. Divide by 21: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 17 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 17 × 27 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 644 ÷ -790"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 644 by -790. 644 ÷ -790 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -370 ÷ -781"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -370 by -781. -370 ÷ -781 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 8/6. LCD = 33. Result = -5/33.\n</reasoning>\nFinal Answer: -5/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 18) * (38 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+18)=60, (38-27)=11, then 60×11=660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:46 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/46, so B = A × (46/10) = 95 × 46/10 = 437.0.\n</reasoning>\nFinal Answer: 437.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 4 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+4) × 50 = 375.0.\n</reasoning>\nFinal Answer: 375.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 26 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+26) × 34 = 510.0.\n</reasoning>\nFinal Answer: 510.0"
}
] | medium | [
"geometry",
"area"
] |
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