messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33956 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33956 × 18 × 3 / 100 = 18336.24.\n</reasoning>\nFinal Answer: 18336.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 - 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/19 - 16/6. LCD = 57. Result = -113/57.\n</reasoning>\nFinal Answer: -113/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 / 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/6) ÷ (8/5) = (9/6) × (5/8) = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 20 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+20) × 39 = 487.5.\n</reasoning>\nFinal Answer: 487.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 - 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/20 - 8/1. LCD = 10. Result = -73/10.\n</reasoning>\nFinal Answer: -73/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35888 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35888 × 4 × 1 / 100 = 1435.52.\n</reasoning>\nFinal Answer: 1435.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 * 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/2) × (15/12) = (150/24) = 25/4 after simplification.\n</reasoning>\nFinal Answer: 25/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 19 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+19) × 24 = 636.0.\n</reasoning>\nFinal Answer: 636.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 45 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 16+2025-24=2017.\n</reasoning>\nFinal Answer: 2017"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 135 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(135,176) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:10 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/10, so B = A × (10/41) = 72 × 10/41 = 17.561.\n</reasoning>\nFinal Answer: 17.561"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 5 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+5) × 36 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 10 * 4 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×4=40, then 27+40-1=66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 16, 64, 256, 1024]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 4 and ratio 4. Next term = 1024 × 4 = 4096.\n</reasoning>\nFinal Answer: 4096"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 40 = 584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 17x = 544. Divide by 17: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 144 = 331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -27 mod 956"
},
{
"role": "assistant",
"content": "<reasoning>\n-27 mod 956: -27 = 956 × -1 + 929, so remainder = 929.\n</reasoning>\nFinal Answer: 929"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 - 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/10 - 19/12. LCD = 60. Result = -89/60.\n</reasoning>\nFinal Answer: -89/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 20 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 21+400-50=371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 150 × -372"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 150 by -372: 150 × -372 = -55800.\n</reasoning>\nFinal Answer: -55800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 + 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/8 + 4/14. Common denominator = 28. Result = 71/28.\n</reasoning>\nFinal Answer: 71/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-36)x + (105) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×3×105 = 36. √discriminant = 6. x = (-(-36) ± 6) / (2×3). Solutions: x = 7 or x = 5.\n</reasoning>\nFinal Answer: x = 7 or x = 5"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 14 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 14 = 210 worker-days. New time = 210 / 17 = 12.3529 days.\n</reasoning>\nFinal Answer: 12.3529"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:16 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/16, so B = A × (16/25) = 32 × 16/25 = 20.48.\n</reasoning>\nFinal Answer: 20.48"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 93, 28, 17, 46, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 93: 1, 28: 1, 17: 1, 46: 1, 100: 1}. Most frequent: [8, 93, 28, 17, 46, 100].\n</reasoning>\nFinal Answer: [8, 93, 28, 17, 46, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -839 ÷ -723"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -839 by -723. -839 ÷ -723 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 44 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 18+1936-46=1908.\n</reasoning>\nFinal Answer: 1908"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:44 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/44, so B = A × (44/31) = 94 × 44/31 = 133.4194.\n</reasoning>\nFinal Answer: 133.4194"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 32 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 9+1024-49=984.\n</reasoning>\nFinal Answer: 984"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 20/2. Common denominator = 17. Result = 188/17.\n</reasoning>\nFinal Answer: 188/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 457 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 457 × (1 - 12/100) = 457 × 0.88 = 402.16.\n</reasoning>\nFinal Answer: 402.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,36) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -22 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 6x = -12. Divide by 6: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -36 = -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 28x = -560. Divide by 28: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 122 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(122,138) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 88, 6, 27, 47, 48, 91, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 18, 27, 47, 48, 51, 88, 91]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 10, 13, 14, 15, 16] and B = [2, 3, 7, 8, 14, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 7, 10, 13, 17].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 25 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 25 = 175 worker-days. New time = 175 / 19 = 9.2105 days.\n</reasoning>\nFinal Answer: 9.2105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 43 + 24 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×43=989 and 24×34=816, then add: 1805.\n</reasoning>\nFinal Answer: 1805"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 31, 41, 51, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 10. Next term = 61 + 10 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -453 × -433"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -453 by -433: -453 × -433 = 196149.\n</reasoning>\nFinal Answer: 196149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -789 + 988"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -789 and 988: -789 + 988 = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -686 - 872"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 872 from -686: -686 - 872 = -1558.\n</reasoning>\nFinal Answer: -1558"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -47 = 73"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 20x = 120. Divide by 20: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37132 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37132 × 20 × 7 / 100 = 51984.8.\n</reasoning>\nFinal Answer: 51984.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -881 ÷ 366"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -881 by 366. -881 ÷ 366 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 899 km apart. Their speeds are 59 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+74=133 km/h. Time = 899/133 = 6.7594 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1459. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1459 × 28/100 = 408.52. Total = 1459 + 408.52 = 1867.52.\n</reasoning>\nFinal Answer: 1867.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 5) * (19 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+5)=34, (19-26)=-7, then 34×-7=-238.\n</reasoning>\nFinal Answer: -238"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 30, 39, 48, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 9. Next term = 57 + 9 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:43 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/43, so B = A × (43/48) = 84 × 43/48 = 75.25.\n</reasoning>\nFinal Answer: 75.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 264 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 264 × (1 - 3/100) = 264 × 0.97 = 256.08.\n</reasoning>\nFinal Answer: 256.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 31 = 1798.\n</reasoning>\nFinal Answer: 1798"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 22 = 847.0.\n</reasoning>\nFinal Answer: 847.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 14) * (40 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+14)=53, (40-1)=39, then 53×39=2067.\n</reasoning>\nFinal Answer: 2067"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "51 is what percentage of 176?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/176) × 100 = 28.9773%.\n</reasoning>\nFinal Answer: 28.9773%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 / 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/11) ÷ (9/3) = (5/11) × (3/9) = 5/33.\n</reasoning>\nFinal Answer: 5/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 445?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 445 = (35/100) × 445 = 155.75.\n</reasoning>\nFinal Answer: 155.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 464 - 625"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 625 from 464: 464 - 625 = -161.\n</reasoning>\nFinal Answer: -161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 14 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 14x = 168. Divide by 14: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 - 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/13 - 17/3. LCD = 39. Result = -209/39.\n</reasoning>\nFinal Answer: -209/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 4 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 44/60 = 4.7333 hours. Distance = speed × time = 98 × 4.7333 = 463.8667 km.\n</reasoning>\nFinal Answer: 463.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 - 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/15 - 18/6. LCD = 1. Result = -2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 7 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 7 = 98 worker-days. New time = 98 / 7 = 14.0 days.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -32 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 4x = -148. Divide by 4: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 20 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 42+400-7=435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 10] and B = [3, 5, 7, 14, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 924 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 924 × (1 + 15/100) = 924 × 1.15 = 1062.6.\n</reasoning>\nFinal Answer: 1062.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 10 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 4+100-27=77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 25 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 77, 61, 51, 12, 39, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 12 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 85 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 85 × (1 + 15/100) = 85 × 1.15 = 97.75.\n</reasoning>\nFinal Answer: 97.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23456 at 7% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23456 × 7 × 5 / 100 = 8209.6.\n</reasoning>\nFinal Answer: 8209.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×26)/2 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 331 km apart. Their speeds are 115 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+63=178 km/h. Time = 331/178 = 1.8596 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 10 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 31/60 = 10.5167 hours. Distance = speed × time = 149 × 10.5167 = 1566.9833 km.\n</reasoning>\nFinal Answer: 1566.9833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:6 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/6, so B = A × (6/21) = 27 × 6/21 = 7.7143.\n</reasoning>\nFinal Answer: 7.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 80, 79, 68, 60, 5, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/7 = 57.2857.\n</reasoning>\nFinal Answer: 57.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 34, 6, 92, 53, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 34: 1, 6: 1, 92: 1, 53: 1, 68: 1}. Most frequent: [58, 34, 6, 92, 53, 68].\n</reasoning>\nFinal Answer: [58, 34, 6, 92, 53, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -34 = 289"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 17x = 323. Divide by 17: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+22) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹2111. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2111 × 18/100 = 379.98. Total = 2111 + 379.98 = 2490.98.\n</reasoning>\nFinal Answer: 2490.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 869 ÷ -851"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 869 by -851. 869 ÷ -851 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 10 + 6 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×10=170 and 6×38=228, then add: 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -46 = 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 20x = 300. Divide by 20: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 63 mod 664"
},
{
"role": "assistant",
"content": "<reasoning>\n63 mod 664: 63 = 664 × 0 + 63, so remainder = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -87 + -603"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -87 and -603: -87 + -603 = -690.\n</reasoning>\nFinal Answer: -690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 65, 88, 16, 65, 61, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 34, 61, 65, 65, 88, 88]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 11, 12, 13, 14, 15] and B = [5, 6, 10, 12, 13, 15, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12, 13, 15].\n</reasoning>\nFinal Answer: [12, 13, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 * 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/6) × (2/11) = (6/66) = 1/11 after simplification.\n</reasoning>\nFinal Answer: 1/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 38, 64, 23, 54, 59, 90, 63, 43, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 38: 1, 64: 1, 23: 1, 54: 1, 59: 1, 90: 1, 63: 1, 43: 1, 96: 1}. Most frequent: [48, 38, 64, 23, 54, 59, 90, 63, 43, 96].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -753 ÷ 145"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -753 by 145. -753 ÷ 145 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 69 - -648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -648 from 69: 69 - -648 = 717.\n</reasoning>\nFinal Answer: 717"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -141 × -311"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -141 by -311: -141 × -311 = 43851.\n</reasoning>\nFinal Answer: 43851"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 328 ÷ 692"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 328 by 692. 328 ÷ 692 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×0 = 324. √discriminant = 18. x = (-(18) ± 18) / (2×3). Solutions: x = 0 or x = -6.\n</reasoning>\nFinal Answer: x = 0 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 84, 80, 88, 76, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 36 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 3) * (26 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+3)=40, (26-45)=-19, then 40×-19=-760.\n</reasoning>\nFinal Answer: -760"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (6)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×2×0 = 36. √discriminant = 6. x = (-(6) ± 6) / (2×2). Solutions: x = 0 or x = -3.\n</reasoning>\nFinal Answer: x = 0 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 10 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 1/60 = 10.0167 hours. Distance = speed × time = 47 × 10.0167 = 470.7833 km.\n</reasoning>\nFinal Answer: 470.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
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