messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 504 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 504 × (1 + 15/100) = 504 × 1.15 = 579.6.\n</reasoning>\nFinal Answer: 579.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -13 = 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 7x = 224. Divide by 7: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -48 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 9x = 45. Divide by 9: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 1 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 8x = -56. Divide by 8: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 + 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/14 + 2/6. Common denominator = 6. Result = 5/6.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -309 ÷ -673"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -309 by -673. -309 ÷ -673 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = 868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = 840. Divide by 30: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 22) * (26 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+22)=61, (26-32)=-6, then 61×-6=-366.\n</reasoning>\nFinal Answer: -366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 38 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+38) × 29 = 957.0.\n</reasoning>\nFinal Answer: 957.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 43 = 439"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 18x = 396. Divide by 18: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 45 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+45) × 49 = 2205.0.\n</reasoning>\nFinal Answer: 2205.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (2)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×2×0 = 4. √discriminant = 2. x = (-(2) ± 2) / (2×2). Solutions: x = 0 or x = -1.\n</reasoning>\nFinal Answer: x = 0 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+10) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -27 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 49, 77, 4, 32, 78, 15, 66, 23, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 49: 1, 77: 1, 4: 1, 32: 1, 78: 1, 15: 1, 66: 1, 23: 1, 50: 1}. Most frequent: [22, 49, 77, 4, 32, 78, 15, 66, 23, 50].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 178 and 200."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(178,200) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 582 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 582 × (1 + 35/100) = 582 × 1.35 = 785.7.\n</reasoning>\nFinal Answer: 785.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 4, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (16-1)×4 = 37 + 60 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1674. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1674 × 28/100 = 468.72. Total = 1674 + 468.72 = 2142.72.\n</reasoning>\nFinal Answer: 2142.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -232 - 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 182 from -232: -232 - 182 = -414.\n</reasoning>\nFinal Answer: -414"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 29 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 1x = -5. Divide by 1: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 35 = 154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 17x = 119. Divide by 17: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 10 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 19/60 = 10.3167 hours. Distance = speed × time = 72 × 10.3167 = 742.8 km.\n</reasoning>\nFinal Answer: 742.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 is what percentage of 359?"
},
{
"role": "assistant",
"content": "<reasoning>\n(12/359) × 100 = 3.3426%.\n</reasoning>\nFinal Answer: 3.3426%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 57, 38, 97, 84, 19, 78, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 5 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 11 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 11 = 22 worker-days. New time = 22 / 17 = 1.2941 days.\n</reasoning>\nFinal Answer: 1.2941"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -37 = 335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 12x = 372. Divide by 12: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 4, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (31-1)×4 = 4 + 120 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -302 ÷ -615"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -302 by -615. -302 ÷ -615 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 47) * (38 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+47)=68, (38-3)=35, then 68×35=2380.\n</reasoning>\nFinal Answer: 2380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 26) * (18 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+26)=32, (18-44)=-26, then 32×-26=-832.\n</reasoning>\nFinal Answer: -832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 252 mod 846"
},
{
"role": "assistant",
"content": "<reasoning>\n252 mod 846: 252 = 846 × 0 + 252, so remainder = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 5 = 2.5.\n</reasoning>\nFinal Answer: 2.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 41 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 41 × 4 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 10 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 10 × (1 + 5/100) = 10 × 1.05 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 20 = 856"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 19x = 836. Divide by 19: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 40 = 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 13x = 481. Divide by 13: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:11 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/11, so B = A × (11/24) = 75 × 11/24 = 34.375.\n</reasoning>\nFinal Answer: 34.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 144 × -931"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 144 by -931: 144 × -931 = -134064.\n</reasoning>\nFinal Answer: -134064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -25 = -949"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 21x = -924. Divide by 21: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 92, 38, 16, 64, 5, 76, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 92: 1, 38: 1, 16: 1, 64: 1, 5: 1, 76: 1, 70: 1}. Most frequent: [22, 92, 38, 16, 64, 5, 76, 70].\n</reasoning>\nFinal Answer: [22, 92, 38... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 29 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 10, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (36-1)×10 = 48 + 350 = 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 72 and 65."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(72,65) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 152 km apart. Their speeds are 66 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+50=116 km/h. Time = 152/116 = 1.3103 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -92 ÷ 58"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -92 by 58. -92 ÷ 58 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 473?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 473 = (25/100) × 473 = 118.25.\n</reasoning>\nFinal Answer: 118.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/1 + 10/5. Common denominator = 1. Result = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 98, 21, 67, 22, 80, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/7 = 49.4286.\n</reasoning>\nFinal Answer: 49.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 16 = -278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 14x = -294. Divide by 14: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -20 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 11x = 286. Divide by 11: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (15/5) = (18/9) × (5/15) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 42 = 651"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 21x = 609. Divide by 21: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 41 = -319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 8x = -360. Divide by 8: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -833 ÷ 771"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -833 by 771. -833 ÷ 771 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 10 * 12 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×12=120, then 22+120-14=128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 39 + 19 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×39=390 and 19×28=532, then add: 922.\n</reasoning>\nFinal Answer: 922"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 47, 66, 12, 30, 75, 81, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 47: 1, 66: 1, 12: 1, 30: 1, 75: 1, 81: 1, 2: 1}. Most frequent: [37, 47, 66, 12, 30, 75, 81, 2].\n</reasoning>\nFinal Answer: [37, 47, 66... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×14)/2 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 50% of 880?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 880 = (50/100) × 880 = 440.0.\n</reasoning>\nFinal Answer: 440.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 13 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 13 = 195 worker-days. New time = 195 / 7 = 27.8571 days.\n</reasoning>\nFinal Answer: 27.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 163 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 296 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 296 × (1 - 30/100) = 296 × 0.7 = 207.2.\n</reasoning>\nFinal Answer: 207.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 552 mod 550"
},
{
"role": "assistant",
"content": "<reasoning>\n552 mod 550: 552 = 550 × 1 + 2, so remainder = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 3 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 52/60 = 3.8667 hours. Distance = speed × time = 106 × 3.8667 = 409.8667 km.\n</reasoning>\nFinal Answer: 409.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -714 mod 924"
},
{
"role": "assistant",
"content": "<reasoning>\n-714 mod 924: -714 = 924 × -1 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 1 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+1) × 41 = 635.5.\n</reasoning>\nFinal Answer: 635.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 25 = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48528 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48528 × 19 × 8 / 100 = 73762.56.\n</reasoning>\nFinal Answer: 73762.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 24 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 18+576-38=556.\n</reasoning>\nFinal Answer: 556"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 13 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 24+169-36=157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/4 - 14/5. LCD = 20. Result = 39/20.\n</reasoning>\nFinal Answer: 39/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 81, 87, 79, 69, 86, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 81: 1, 87: 1, 79: 1, 69: 1, 86: 1, 84: 1}. Most frequent: [37, 81, 87, 79, 69, 86, 84].\n</reasoning>\nFinal Answer: [37, 81, 87, 79, 69, 86... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:45 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/45, so B = A × (45/47) = 43 × 45/47 = 41.1702.\n</reasoning>\nFinal Answer: 41.1702"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 + 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/1 + 1/5. Common denominator = 5. Result = 46/5.\n</reasoning>\nFinal Answer: 46/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:27 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/27, so B = A × (27/22) = 67 × 27/22 = 82.2273.\n</reasoning>\nFinal Answer: 82.2273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 166 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 166 = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 36, 88, 99, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 42, 78, 88, 99]. Middle value(s) → median = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 19, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (20-1)×19 = 9 + 361 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 23 = -250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 21x = -273. Divide by 21: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "259 is what percentage of 380?"
},
{
"role": "assistant",
"content": "<reasoning>\n(259/380) × 100 = 68.1579%.\n</reasoning>\nFinal Answer: 68.1579%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 / 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/14) ÷ (15/18) = (19/14) × (18/15) = 57/35.\n</reasoning>\nFinal Answer: 57/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 * 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/17) × (1/5) = (7/85) = 7/85 after simplification.\n</reasoning>\nFinal Answer: 7/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 29, 24, 92, 18, 82, 4, 90, 44, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 29: 1, 24: 1, 92: 1, 18: 1, 82: 1, 4: 1, 90: 1, 44: 1, 19: 1}. Most frequent: [42, 29, 24, 92, 18, 82, 4, 90, 44, 19].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 81, 26, 71, 50, 51, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 319/7 = 45.5714.\n</reasoning>\nFinal Answer: 45.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 35, 13, 62, 54, 59, 56, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 374/8 = 46.75.\n</reasoning>\nFinal Answer: 46.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 17 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+17) × 6 = 159.0.\n</reasoning>\nFinal Answer: 159.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 * 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/7) × (17/2) = (51/14) = 51/14 after simplification.\n</reasoning>\nFinal Answer: 51/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 21, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 21 + 23 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 33 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 2x = 50. Divide by 2: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 206 × -929"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 206 by -929: 206 × -929 = -191374.\n</reasoning>\nFinal Answer: -191374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 93, 28, 9, 1, 1, 92, 36, 45, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 1, 9, 18, 28, 36, 45, 92, 93, 96]. Middle value(s) → median = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 63, 78, 93, 108]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 15. Next term = 108 + 15 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25750 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25750 × 20 × 9 / 100 = 46350.0.\n</reasoning>\nFinal Answer: 46350.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 969 km apart. Their speeds are 98 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+44=142 km/h. Time = 969/142 = 6.8239 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 37) * (28 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+37)=54, (28-2)=26, then 54×26=1404.\n</reasoning>\nFinal Answer: 1404"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 70, 89, 70, 1, 12, 84, 96, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 70: 2, 89: 1, 1: 1, 12: 1, 84: 1, 96: 1, 86: 1}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 20 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 5x = -240. Divide by 5: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹850. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 850 × 18/100 = 153.0. Total = 850 + 153.0 = 1003.0.\n</reasoning>\nFinal Answer: 1003.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 50 = -412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 11x = -462. Divide by 11: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
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