messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 17/12 - 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/12 - 10/1. LCD = 12. Result = -103/12.\n</reasoning>\nFinal Answer: -103/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 585 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 585 × (1 - 50/100) = 585 × 0.5 = 292.5.\n</reasoning>\nFinal Answer: 292.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "119 is what percentage of 437?"
},
{
"role": "assistant",
"content": "<reasoning>\n(119/437) × 100 = 27.2311%.\n</reasoning>\nFinal Answer: 27.2311%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 9 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 9 = 45 worker-days. New time = 45 / 5 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 - 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/10 - 2/8. LCD = 20. Result = 17/20.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -16 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 18x = 90. Divide by 18: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 46, 31, 15, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 233/5 = 46.6.\n</reasoning>\nFinal Answer: 46.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -755 mod 401"
},
{
"role": "assistant",
"content": "<reasoning>\n-755 mod 401: -755 = 401 × -2 + 47, so remainder = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 690 ÷ 974"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 690 by 974. 690 ÷ 974 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 9 * 41 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×41=369, then 2+369-3=368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 24, 29, 34, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 5. Next term = 39 + 5 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 834 mod 834"
},
{
"role": "assistant",
"content": "<reasoning>\n834 mod 834: 834 = 834 × 1 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 234 - -755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -755 from 234: 234 - -755 = 989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×39)/3 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×46)/1 = 2070.\n</reasoning>\nFinal Answer: 2070"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -131 mod 313"
},
{
"role": "assistant",
"content": "<reasoning>\n-131 mod 313: -131 = 313 × -1 + 182, so remainder = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 - 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/3 - 9/1. LCD = 1. Result = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/20) ÷ (9/20) = (10/20) × (20/9) = 10/9.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 70% of 243?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 243 = (70/100) × 243 = 170.1.\n</reasoning>\nFinal Answer: 170.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 87, 50, 31, 44, 56, 100, 22, 74, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 87: 1, 50: 1, 31: 1, 44: 1, 56: 1, 100: 1, 22: 1, 74: 1, 69: 1}. Most frequent: [58, 87, 50, 31, 44, 56, 100, 22, 74, 69].\n</r... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3920. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3920 × 5/100 = 196.0. Total = 3920 + 196.0 = 4116.0.\n</reasoning>\nFinal Answer: 4116.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -679 × 675"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -679 by 675: -679 × 675 = -458325.\n</reasoning>\nFinal Answer: -458325"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 - 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/1 - 9/9. LCD = 1. Result = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 21 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 828 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 828 × (1 + 70/100) = 828 × 1.7 = 1407.6.\n</reasoning>\nFinal Answer: 1407.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -320 + -931"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -320 and -931: -320 + -931 = -1251.\n</reasoning>\nFinal Answer: -1251"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 4 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 6x = 138. Divide by 6: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 7 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 7 = 98 worker-days. New time = 98 / 14 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 8, 77, 72, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 262/5 = 52.4.\n</reasoning>\nFinal Answer: 52.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 12, 14, 15, 19] and B = [5, 9, 10, 13, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 9, 10, 12, 13, 15].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 57 = 1852.5.\n</reasoning>\nFinal Answer: 1852.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 27, 28, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 27 + 28 + 34 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 620 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 620 × (1 - 5/100) = 620 × 0.95 = 589.0.\n</reasoning>\nFinal Answer: 589.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 32, 65, 41, 19, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 19, 29, 32, 41, 65]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×2×0 = 144. √discriminant = 12. x = (-(12) ± 12) / (2×2). Solutions: x = 0 or x = -6.\n</reasoning>\nFinal Answer: x = 0 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 12, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (14-1)×12 = 2 + 156 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+35) = 2×135 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹652. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 652 × 18/100 = 117.36. Total = 652 + 117.36 = 769.36.\n</reasoning>\nFinal Answer: 769.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -31 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 26x = -364. Divide by 26: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 58 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (7/2) = (3/4) × (2/7) = 3/14.\n</reasoning>\nFinal Answer: 3/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "248 is what percentage of 295?"
},
{
"role": "assistant",
"content": "<reasoning>\n(248/295) × 100 = 84.0678%.\n</reasoning>\nFinal Answer: 84.0678%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 45 + 46 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×45=45 and 46×45=2070, then add: 2115.\n</reasoning>\nFinal Answer: 2115"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 79 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(79,87) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 + 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/8 + 7/18. Common denominator = 18. Result = 25/18.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8, 9, 10, 11, 15, 16] and B = [7, 8, 9, 13, 15, 16, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 7, 8, 9, 10, 11, 13, 15, 16, 19].\n</reasoning>\nFinal Answer: [5, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 * 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/11) × (6/13) = (78/143) = 6/11 after simplification.\n</reasoning>\nFinal Answer: 6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 - 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/5 - 16/3. LCD = 15. Result = -29/15.\n</reasoning>\nFinal Answer: -29/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 90 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 1) * (10 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+1)=28, (10-22)=-12, then 28×-12=-336.\n</reasoning>\nFinal Answer: -336"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 153 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 153 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:47 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/47, so B = A × (47/7) = 99 × 47/7 = 664.7143.\n</reasoning>\nFinal Answer: 664.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 149 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(149,3) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 15 = -1319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 29x = -1334. Divide by 29: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 15 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 22+225-39=208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "31 is what percentage of 548?"
},
{
"role": "assistant",
"content": "<reasoning>\n(31/548) × 100 = 5.6569%.\n</reasoning>\nFinal Answer: 5.6569%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "231 is what percentage of 464?"
},
{
"role": "assistant",
"content": "<reasoning>\n(231/464) × 100 = 49.7845%.\n</reasoning>\nFinal Answer: 49.7845%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 135 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 135 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 183 km/h. How far does it travel in 4 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 35/60 = 4.5833 hours. Distance = speed × time = 183 × 4.5833 = 838.75 km.\n</reasoning>\nFinal Answer: 838.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 9 = 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 22x = 638. Divide by 22: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 17 = -22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 3x = -39. Divide by 3: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -527 - -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -364 from -527: -527 - -364 = -163.\n</reasoning>\nFinal Answer: -163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -739 × -545"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -739 by -545: -739 × -545 = 402755.\n</reasoning>\nFinal Answer: 402755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 20 = 245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 9x = 225. Divide by 9: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 85, 91, 21, 1, 29, 43, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 1 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -61 + -414"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -61 and -414: -61 + -414 = -475.\n</reasoning>\nFinal Answer: -475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 548 mod 181"
},
{
"role": "assistant",
"content": "<reasoning>\n548 mod 181: 548 = 181 × 3 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 17) * (44 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+17)=48, (44-4)=40, then 48×40=1920.\n</reasoning>\nFinal Answer: 1920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 41, 97, 13, 49, 58, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 391/7 = 55.8571.\n</reasoning>\nFinal Answer: 55.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -339 + 30"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -339 and 30: -339 + 30 = -309.\n</reasoning>\nFinal Answer: -309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -15 = -130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 23x = -115. Divide by 23: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 * 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/10) × (19/9) = (171/90) = 19/10 after simplification.\n</reasoning>\nFinal Answer: 19/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -36 = -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 93 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 93 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 257 × -48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 257 by -48: 257 × -48 = -12336.\n</reasoning>\nFinal Answer: -12336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 69, 91, 85, 56, 31, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 31, 51, 56, 69, 85, 91]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 133."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,133) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 9 * 29 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×29=261, then 44+261-49=256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 18 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+18) × 28 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 65, 16, 57, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 16 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 6 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 156 km apart. Their speeds are 104 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+73=177 km/h. Time = 156/177 = 0.8814 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3214. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3214 × 18/100 = 578.52. Total = 3214 + 578.52 = 3792.52.\n</reasoning>\nFinal Answer: 3792.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 13] and B = [1, 2, 3, 5, 11, 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": "A bag has 6 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/8 = 0.25.\n</reasoning>\nFinal Answer: 0.25"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 4, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (18-1)×4 = 37 + 68 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 23 + 32 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×23=1127 and 32×29=928, then add: 2055.\n</reasoning>\nFinal Answer: 2055"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -42 = -273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 7x = -231. Divide by 7: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 727 ÷ -10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 727 by -10. 727 ÷ -10 = -73 (integer division).\n</reasoning>\nFinal Answer: -73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (10/4) = (50/24) = 25/12 after simplification.\n</reasoning>\nFinal Answer: 25/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3719. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3719 × 5/100 = 185.95. Total = 3719 + 185.95 = 3904.95.\n</reasoning>\nFinal Answer: 3904.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -275 mod -168"
},
{
"role": "assistant",
"content": "<reasoning>\n-275 mod -168: -275 = -168 × 1 + -107, so remainder = -107.\n</reasoning>\nFinal Answer: -107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 7, 87, 3, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 7, 36, 81, 87]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -37 = -1187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 25x = -1150. Divide by 25: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 100% of 244?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 244 = (100/100) × 244 = 244.0.\n</reasoning>\nFinal Answer: 244.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 16, 24, 32, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 8. Next term = 40 + 8 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×11)/11 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 26 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 26 = 364 worker-days. New time = 364 / 19 = 19.1579 days.\n</reasoning>\nFinal Answer: 19.1579"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 875 ÷ -877"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 875 by -877. 875 ÷ -877 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:34 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/34, so B = A × (34/44) = 86 × 34/44 = 66.4545.\n</reasoning>\nFinal Answer: 66.4545"
}
] | medium | [
"ratio",
"proportion"
] |
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