messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹4525. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4525 × 18/100 = 814.5. Total = 4525 + 814.5 = 5339.5.\n</reasoning>\nFinal Answer: 5339.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 3 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 28/60 = 3.4667 hours. Distance = speed × time = 180 × 3.4667 = 624.0 km.\n</reasoning>\nFinal Answer: 624.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -20 = 1430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 29x = 1450. Divide by 29: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 113."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 113 by smallest primes repeatedly: 113 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 7, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (16-1)×7 = 20 + 105 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 * 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/11) × (8/4) = (16/44) = 4/11 after simplification.\n</reasoning>\nFinal Answer: 4/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (100)x + (500) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 100² - 4×5×500 = 0. √discriminant = 0. x = (-(100) ± 0) / (2×5). Solutions: x = -10 (double root).\n</reasoning>\nFinal Answer: x = -10 (doubl... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/1) × (18/1) = (108/1) = 108 after simplification.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 781 mod 348"
},
{
"role": "assistant",
"content": "<reasoning>\n781 mod 348: 781 = 348 × 2 + 85, so remainder = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 551 km apart. Their speeds are 115 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+94=209 km/h. Time = 551/209 = 2.6364 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 65% of 672?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 672 = (65/100) × 672 = 436.8.\n</reasoning>\nFinal Answer: 436.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 95, 25, 70, 35, 36, 30, 68, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 25, 30, 35, 36, 53, 68, 70, 95]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15655 at 9% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15655 × 9 × 9 / 100 = 12680.55.\n</reasoning>\nFinal Answer: 12680.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 11 mod 306"
},
{
"role": "assistant",
"content": "<reasoning>\n11 mod 306: 11 = 306 × 0 + 11, so remainder = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 / 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/6) ÷ (6/11) = (5/6) × (11/6) = 55/36.\n</reasoning>\nFinal Answer: 55/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 / 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/12) ÷ (10/13) = (3/12) × (13/10) = 13/40.\n</reasoning>\nFinal Answer: 13/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 343 + 63"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 343 and 63: 343 + 63 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 305 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 305 × (1 - 10/100) = 305 × 0.9 = 274.5.\n</reasoning>\nFinal Answer: 274.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 83."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,83) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 92 = 8556.\n</reasoning>\nFinal Answer: 8556"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 300 km apart. Their speeds are 99 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+71=170 km/h. Time = 300/170 = 1.7647 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 112 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 112 + 184 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×10)/5 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 27, 4, 33, 56, 30, 6, 71, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 6, 21, 27, 27, 30, 33, 56, 71]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14783 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14783 × 5 × 4 / 100 = 2956.6.\n</reasoning>\nFinal Answer: 2956.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 67, 42, 3, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 266/5 = 53.2.\n</reasoning>\nFinal Answer: 53.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 49 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 37+2401-7=2431.\n</reasoning>\nFinal Answer: 2431"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40506 at 3% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40506 × 3 × 9 / 100 = 10936.62.\n</reasoning>\nFinal Answer: 10936.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:43 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/43, so B = A × (43/10) = 20 × 43/10 = 86.0.\n</reasoning>\nFinal Answer: 86.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 8, 10, 12, 19] and B = [3, 8, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 8, 10, 12, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 8, 10, 12, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 93, 67, 88, 7, 75, 84, 95, 49, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 618/10 = 61.8.\n</reasoning>\nFinal Answer: 61.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -664 × -522"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -664 by -522: -664 × -522 = 346608.\n</reasoning>\nFinal Answer: 346608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 + 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/13 + 16/17. Common denominator = 221. Result = 531/221.\n</reasoning>\nFinal Answer: 531/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 34 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+34) × 34 = 1105.0.\n</reasoning>\nFinal Answer: 1105.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 85."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,85) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -179 + -990"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -179 and -990: -179 + -990 = -1169.\n</reasoning>\nFinal Answer: -1169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:19 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/19, so B = A × (19/34) = 14 × 19/34 = 7.8235.\n</reasoning>\nFinal Answer: 7.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 11 * 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×2=22, then 34+22-31=25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 178 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(178,35) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 / 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/2) ÷ (7/19) = (8/2) × (19/7) = 76/7.\n</reasoning>\nFinal Answer: 76/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 39 = 1852.5.\n</reasoning>\nFinal Answer: 1852.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 21 * 20 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×20=420, then 44+420-45=419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 / 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/10) ÷ (3/4) = (5/10) × (4/3) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 748 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 748 × (1 - 60/100) = 748 × 0.4 = 299.2.\n</reasoning>\nFinal Answer: 299.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1006. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1006 × 12/100 = 120.72. Total = 1006 + 120.72 = 1126.72.\n</reasoning>\nFinal Answer: 1126.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:11 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/11, so B = A × (11/30) = 12 × 11/30 = 4.4.\n</reasoning>\nFinal Answer: 4.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 72 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 72 × 87 = 6264.\n</reasoning>\nFinal Answer: 6264"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 49 = -679"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 26x = -728. Divide by 26: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -62 ÷ -496"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -62 by -496. -62 ÷ -496 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 19 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 17x = -102. Divide by 17: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 - 6/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/6 - 6/10. LCD = 10. Result = -1/10.\n</reasoning>\nFinal Answer: -1/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 * 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/12) × (18/14) = (126/168) = 3/4 after simplification.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+96) = 2×143 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 - 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/14 - 6/16. LCD = 56. Result = 31/56.\n</reasoning>\nFinal Answer: 31/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:17 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/17, so B = A × (17/5) = 70 × 17/5 = 238.0.\n</reasoning>\nFinal Answer: 238.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 169 + -263"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 169 and -263: 169 + -263 = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 - 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/9 - 8/17. LCD = 17. Result = 26/17.\n</reasoning>\nFinal Answer: 26/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 446 + -443"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 446 and -443: 446 + -443 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 48 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 30+2304-31=2303.\n</reasoning>\nFinal Answer: 2303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23394 at 7% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23394 × 7 × 3 / 100 = 4912.74.\n</reasoning>\nFinal Answer: 4912.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:37 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/37, so B = A × (37/15) = 78 × 37/15 = 192.4.\n</reasoning>\nFinal Answer: 192.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 6, 77, 54, 71, 66, 79, 66, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 14, 54, 66, 66, 67, 71, 77, 79]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 66 = 5610.\n</reasoning>\nFinal Answer: 5610"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -951 mod 264"
},
{
"role": "assistant",
"content": "<reasoning>\n-951 mod 264: -951 = 264 × -4 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/15 + 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/15 + 9/18. Common denominator = 10. Result = 13/10.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 4, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (26-1)×4 = 32 + 100 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:7 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/7, so B = A × (7/34) = 49 × 7/34 = 10.0882.\n</reasoning>\nFinal Answer: 10.0882"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 17 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 23x = -69. Divide by 23: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 466 km apart. Their speeds are 105 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+104=209 km/h. Time = 466/209 = 2.2297 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 25 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+25) × 4 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 24, 46, 21, 68, 19, 3, 59, 92, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 24: 1, 46: 1, 21: 1, 68: 1, 19: 1, 3: 1, 59: 1, 92: 1, 56: 1}. Most frequent: [17, 24, 46, 21, 68, 19, 3, 59, 92, 56].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 35 = 992"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 29x = 957. Divide by 29: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:20 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/20, so B = A × (20/39) = 60 × 20/39 = 30.7692.\n</reasoning>\nFinal Answer: 30.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:22 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/22, so B = A × (22/31) = 62 × 22/31 = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 28 = 553"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 21x = 525. Divide by 21: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:44 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/44, so B = A × (44/45) = 22 × 44/45 = 21.5111.\n</reasoning>\nFinal Answer: 21.5111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 13, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (32-1)×13 = 37 + 403 = 440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 8 = -176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 4x = -184. Divide by 4: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+86) = 2×118 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -134 - 999"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 999 from -134: -134 - 999 = -1133.\n</reasoning>\nFinal Answer: -1133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -402 ÷ 181"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -402 by 181. -402 ÷ 181 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 - 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/10 - 20/6. LCD = 15. Result = -26/15.\n</reasoning>\nFinal Answer: -26/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -296 + 72"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -296 and 72: -296 + 72 = -224.\n</reasoning>\nFinal Answer: -224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 33 + 10 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×33=198 and 10×14=140, then add: 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 20 = -652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 28x = -672. Divide by 28: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 72, 10, 63, 67, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 72: 1, 10: 1, 63: 1, 67: 1, 89: 1}. Most frequent: [21, 72, 10, 63, 67, 89].\n</reasoning>\nFinal Answer: [21, 72, 10, 63, 67, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/11 * 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/11) × (2/15) = (2/165) = 2/165 after simplification.\n</reasoning>\nFinal Answer: 2/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -934 + 659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -934 and 659: -934 + 659 = -275.\n</reasoning>\nFinal Answer: -275"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 17, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (44-1)×17 = 47 + 731 = 778.\n</reasoning>\nFinal Answer: 778"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 71, 66, 34, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 71: 1, 66: 1, 34: 1, 68: 1}. Most frequent: [11, 71, 66, 34, 68].\n</reasoning>\nFinal Answer: [11, 71, 66, 34, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 2 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 52/60 = 2.8667 hours. Distance = speed × time = 51 × 2.8667 = 146.2 km.\n</reasoning>\nFinal Answer: 146.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 27, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 27 + 32 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -406 mod -481"
},
{
"role": "assistant",
"content": "<reasoning>\n-406 mod -481: -406 = -481 × 0 + -406, so remainder = -406.\n</reasoning>\nFinal Answer: -406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 36 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 11+1296-47=1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 23 * 44 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×44=1012, then 7+1012-11=1008.\n</reasoning>\nFinal Answer: 1008"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 16 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 16 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 872 × -56"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 872 by -56: 872 × -56 = -48832.\n</reasoning>\nFinal Answer: -48832"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 32, 3, 99, 37, 90, 58, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 399/8 = 49.875.\n</reasoning>\nFinal Answer: 49.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 21, 59, 52, 10, 73, 79, 88, 86, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 21, 52, 54, 58, 59, 73, 79, 86, 88]. Middle value(s) → median = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 57 = 570.\n</reasoning>\nFinal Answer: 570"
}
] | easy | [
"geometry",
"area"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.