messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [19, 15, 85, 41, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 15 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 / 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/18) ÷ (18/13) = (5/18) × (13/18) = 65/324.\n</reasoning>\nFinal Answer: 65/324"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 37 = 2183.\n</reasoning>\nFinal Answer: 2183"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -982 - 283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 283 from -982: -982 - 283 = -1265.\n</reasoning>\nFinal Answer: -1265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 18 - -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from 18: 18 - -19 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (10/19) = (14/15) × (19/10) = 133/75.\n</reasoning>\nFinal Answer: 133/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 10 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 47/60 = 10.7833 hours. Distance = speed × time = 157 × 10.7833 = 1692.9833 km.\n</reasoning>\nFinal Answer: 1692.9833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 39, 23, 4, 58, 3, 71, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 39: 1, 23: 1, 4: 1, 58: 1, 3: 1, 71: 1, 79: 1}. Most frequent: [66, 39, 23, 4, 58, 3, 71, 79].\n</reasoning>\nFinal Answer: [66, 39, 23, 4... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 749 mod 730"
},
{
"role": "assistant",
"content": "<reasoning>\n749 mod 730: 749 = 730 × 1 + 19, so remainder = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 54 = 1404.\n</reasoning>\nFinal Answer: 1404"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 66 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(66,67) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×38)/2 = 950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 100 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 100 × 91 = 9100.\n</reasoning>\nFinal Answer: 9100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:12 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/12, so B = A × (12/3) = 37 × 12/3 = 148.0.\n</reasoning>\nFinal Answer: 148.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "239 is what percentage of 916?"
},
{
"role": "assistant",
"content": "<reasoning>\n(239/916) × 100 = 26.0917%.\n</reasoning>\nFinal Answer: 26.0917%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 869 ÷ -718"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 869 by -718. 869 ÷ -718 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 136?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 136 = (5/100) × 136 = 6.8.\n</reasoning>\nFinal Answer: 6.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35930 at 3% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35930 × 3 × 8 / 100 = 8623.2.\n</reasoning>\nFinal Answer: 8623.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 251 mod 414"
},
{
"role": "assistant",
"content": "<reasoning>\n251 mod 414: 251 = 414 × 0 + 251, so remainder = 251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 33 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 8x = -216. Divide by 8: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 100 = 7300.\n</reasoning>\nFinal Answer: 7300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 268 km apart. Their speeds are 110 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+62=172 km/h. Time = 268/172 = 1.5581 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 75% of 345?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 345 = (75/100) × 345 = 258.75.\n</reasoning>\nFinal Answer: 258.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 362 × -139"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 362 by -139: 362 × -139 = -50318.\n</reasoning>\nFinal Answer: -50318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 10, 12, 15] and B = [3, 6, 8, 10, 13, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 18, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "557 is what percentage of 699?"
},
{
"role": "assistant",
"content": "<reasoning>\n(557/699) × 100 = 79.6853%.\n</reasoning>\nFinal Answer: 79.6853%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (15/20) = (5/15) × (20/15) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 544 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 544 × (1 - 15/100) = 544 × 0.85 = 462.4.\n</reasoning>\nFinal Answer: 462.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 6 = 46.6667 days.\n</reasoning>\nFinal Answer: 46.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/9 - 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/9 - 15/6. LCD = 18. Result = -41/18.\n</reasoning>\nFinal Answer: -41/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-64)x + (256) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -64² - 4×4×256 = 0. √discriminant = 0. x = (-(-64) ± 0) / (2×4). Solutions: x = 8 (double root).\n</reasoning>\nFinal Answer: x = 8 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 - 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/13 - 10/19. LCD = 247. Result = 79/247.\n</reasoning>\nFinal Answer: 79/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 / 15/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/16) ÷ (15/2) = (11/16) × (2/15) = 11/120.\n</reasoning>\nFinal Answer: 11/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49771 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49771 × 4 × 8 / 100 = 15926.72.\n</reasoning>\nFinal Answer: 15926.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:28 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/28, so B = A × (28/4) = 41 × 28/4 = 287.0.\n</reasoning>\nFinal Answer: 287.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 27 = 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 10x = 280. Divide by 10: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 91, 28, 57, 53, 45, 3, 79, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 91: 1, 28: 2, 57: 1, 53: 1, 45: 1, 3: 1, 79: 1}. Most frequent: 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 19 = 691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 24x = 672. Divide by 24: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 907 × 57"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 907 by 57: 907 × 57 = 51699.\n</reasoning>\nFinal Answer: 51699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 38 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 10x = 40. Divide by 10: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 48, 61, 10, 80, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 10 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 8 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 48+64-33=79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -23 = -323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 15x = -300. Divide by 15: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 877 km apart. Their speeds are 112 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+72=184 km/h. Time = 877/184 = 4.7663 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -35 = 1072"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 27x = 1107. Divide by 27: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 29, 43, 57, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 14. Next term = 71 + 14 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 22 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 22 = 132 worker-days. New time = 132 / 9 = 14.6667 days.\n</reasoning>\nFinal Answer: 14.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 33, 42, 51, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 9. Next term = 60 + 9 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "331 is what percentage of 642?"
},
{
"role": "assistant",
"content": "<reasoning>\n(331/642) × 100 = 51.5576%.\n</reasoning>\nFinal Answer: 51.5576%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 345 × 338"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 345 by 338: 345 × 338 = 116610.\n</reasoning>\nFinal Answer: 116610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 572 - 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 254 from 572: 572 - 254 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 11 + -38"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 11 and -38: 11 + -38 = -27.\n</reasoning>\nFinal Answer: -27"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 10, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (13-1)×10 = 7 + 120 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 863 km apart. Their speeds are 86 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+99=185 km/h. Time = 863/185 = 4.6649 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+4) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×49)/1 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 6) * (15 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+6)=51, (15-35)=-20, then 51×-20=-1020.\n</reasoning>\nFinal Answer: -1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 5 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 13x = 65. Divide by 13: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:11 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/11, so B = A × (11/45) = 94 × 11/45 = 22.9778.\n</reasoning>\nFinal Answer: 22.9778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -36 = -1146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 30x = -1110. Divide by 30: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 50) * (44 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+50)=98, (44-42)=2, then 98×2=196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -153 mod -874"
},
{
"role": "assistant",
"content": "<reasoning>\n-153 mod -874: -153 = -874 × 0 + -153, so remainder = -153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:18 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/18, so B = A × (18/33) = 17 × 18/33 = 9.2727.\n</reasoning>\nFinal Answer: 9.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 10) * (45 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+10)=60, (45-15)=30, then 60×30=1800.\n</reasoning>\nFinal Answer: 1800"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (36)x + (81) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 36² - 4×3×81 = 324. √discriminant = 18. x = (-(36) ± 18) / (2×3). Solutions: x = -3 or x = -9.\n</reasoning>\nFinal Answer: x = -3 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -322 + 864"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -322 and 864: -322 + 864 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 64, 74, 52, 14, 75, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 31, 52, 64, 65, 74, 75]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -819 - 801"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 801 from -819: -819 - 801 = -1620.\n</reasoning>\nFinal Answer: -1620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1740. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1740 × 12/100 = 208.8. Total = 1740 + 208.8 = 1948.8.\n</reasoning>\nFinal Answer: 1948.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 644 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 644 × (1 - 30/100) = 644 × 0.7 = 450.8.\n</reasoning>\nFinal Answer: 450.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -675 + 247"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -675 and 247: -675 + 247 = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 1, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (27-1)×1 = 43 + 26 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:37 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/37, so B = A × (37/25) = 58 × 37/25 = 85.84.\n</reasoning>\nFinal Answer: 85.84"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 89 apples and buys 87 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 89 + 87 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 12 * 4 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×4=48, then 40+48-30=58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 + 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/17 + 15/4. Common denominator = 4. Result = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 6 = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -1 = -903"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 22x = -902. Divide by 22: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 4/5. LCD = 35. Result = -13/35.\n</reasoning>\nFinal Answer: -13/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 13] and B = [2, 12, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 12, 13, 18].\n</reasoning>\nFinal Answer: [2, 3, 4, 12, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 10, 11, 14, 15] and B = [1, 4, 5, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 10, 11, 14].\n</reasoning>\nFinal Answer: [2, 10, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 54, 74, 48, 73, 7, 9, 94, 28, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 7 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 69 = 3588.\n</reasoning>\nFinal Answer: 3588"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 16, 17] and B = [2, 7, 14, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 7, 14, 16, 17].\n</reasoning>\nFinal Answer: [2, 4, 7, 14, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 * 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/5) × (19/12) = (114/60) = 19/10 after simplification.\n</reasoning>\nFinal Answer: 19/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (4/16) = (11/12) × (16/4) = 11/3.\n</reasoning>\nFinal Answer: 11/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -882 × -55"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -882 by -55: -882 × -55 = 48510.\n</reasoning>\nFinal Answer: 48510"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 682 - 349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 349 from 682: 682 - 349 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -55 ÷ 347"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -55 by 347. -55 ÷ 347 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 36 * 22 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×22=792, then 16+792-19=789.\n</reasoning>\nFinal Answer: 789"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 81 = 2592.\n</reasoning>\nFinal Answer: 2592"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23704 at 4% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23704 × 4 × 7 / 100 = 6637.12.\n</reasoning>\nFinal Answer: 6637.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 27 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 27 = 162 worker-days. New time = 162 / 9 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 8, 9, 10] and B = [3, 9, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -40 = -250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 5x = -210. Divide by 5: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -7 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 3x = -108. Divide by 3: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:40 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/40, so B = A × (40/37) = 53 × 40/37 = 57.2973.\n</reasoning>\nFinal Answer: 57.2973"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:27 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/27, so B = A × (27/6) = 73 × 27/6 = 328.5.\n</reasoning>\nFinal Answer: 328.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 26, 26, 63, 48, 78, 3, 18, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 328/9 = 36.4444.\n</reasoning>\nFinal Answer: 36.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 + 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/17 + 19/10. Common denominator = 170. Result = 483/170.\n</reasoning>\nFinal Answer: 483/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
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