messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -966 - -399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -399 from -966: -966 - -399 = -567.\n</reasoning>\nFinal Answer: -567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 8 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 33+64-33=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 37 + 36 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×37=925 and 36×10=360, then add: 1285.\n</reasoning>\nFinal Answer: 1285"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -41 = -641"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 25x = -600. Divide by 25: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 783 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 783 × (1 + 100/100) = 783 × 2.0 = 1566.0.\n</reasoning>\nFinal Answer: 1566.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 624 + -701"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 624 and -701: 624 + -701 = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -125 + 92"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -125 and 92: -125 + 92 = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 - 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/8 - 9/13. LCD = 104. Result = 149/104.\n</reasoning>\nFinal Answer: 149/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 128?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 128 = (65/100) × 128 = 83.2.\n</reasoning>\nFinal Answer: 83.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 15] and B = [3, 12, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 11, 12].\n</reasoning>\nFinal Answer: [3, 5, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 27 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 33+729-11=751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 17 + 48 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×17=816 and 48×2=96, then add: 912.\n</reasoning>\nFinal Answer: 912"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 16) * (18 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+16)=39, (18-28)=-10, then 39×-10=-390.\n</reasoning>\nFinal Answer: -390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2254. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2254 × 28/100 = 631.12. Total = 2254 + 631.12 = 2885.12.\n</reasoning>\nFinal Answer: 2885.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 * 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/19) × (5/12) = (75/228) = 25/76 after simplification.\n</reasoning>\nFinal Answer: 25/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 42 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+42) × 39 = 897.0.\n</reasoning>\nFinal Answer: 897.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 404 - -600"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -600 from 404: 404 - -600 = 1004.\n</reasoning>\nFinal Answer: 1004"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 50 = -444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 19x = -494. Divide by 19: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -8 = 678"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 14x = 686. Divide by 14: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 86?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 86 = (7/100) × 86 = 6.02.\n</reasoning>\nFinal Answer: 6.02"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 16, 94, 80, 46, 91, 66, 13, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 516/9 = 57.3333.\n</reasoning>\nFinal Answer: 57.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 1/6. LCD = 12. Result = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/15 = 0.6.\n</reasoning>\nFinal Answer: 0.6"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -30 = -303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 7x = -273. Divide by 7: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 28 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+28) × 43 = 838.5.\n</reasoning>\nFinal Answer: 838.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -18 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 11x = 220. Divide by 11: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -963 mod -343"
},
{
"role": "assistant",
"content": "<reasoning>\n-963 mod -343: -963 = -343 × 2 + -277, so remainder = -277.\n</reasoning>\nFinal Answer: -277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 11, 56, 95, 91, 4, 24, 79, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 4 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 297 mod -894"
},
{
"role": "assistant",
"content": "<reasoning>\n297 mod -894: 297 = -894 × -1 + -597, so remainder = -597.\n</reasoning>\nFinal Answer: -597"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 2 + 27 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×2=16 and 27×11=297, then add: 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -564 ÷ -572"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -564 by -572. -564 ÷ -572 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 18, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (42-1)×18 = 16 + 738 = 754.\n</reasoning>\nFinal Answer: 754"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 20, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (28-1)×20 = 40 + 540 = 580.\n</reasoning>\nFinal Answer: 580"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -15 = -145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 26x = -130. Divide by 26: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 40) * (39 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+40)=85, (39-47)=-8, then 85×-8=-680.\n</reasoning>\nFinal Answer: -680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-75)x + (280) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -75² - 4×5×280 = 25. √discriminant = 5. x = (-(-75) ± 5) / (2×5). Solutions: x = 7 or x = 8.\n</reasoning>\nFinal Answer: x = 7 or x = 8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 439 km apart. Their speeds are 52 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+88=140 km/h. Time = 439/140 = 3.1357 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -37 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 23x = 253. Divide by 23: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -364 - -627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -627 from -364: -364 - -627 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -622 × -256"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -622 by -256: -622 × -256 = 159232.\n</reasoning>\nFinal Answer: 159232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:39 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/39, so B = A × (39/2) = 24 × 39/2 = 468.0.\n</reasoning>\nFinal Answer: 468.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 37, 1, 89, 39, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹4915. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4915 × 12/100 = 589.8. Total = 4915 + 589.8 = 5504.8.\n</reasoning>\nFinal Answer: 5504.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -457 mod -99"
},
{
"role": "assistant",
"content": "<reasoning>\n-457 mod -99: -457 = -99 × 4 + -61, so remainder = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 191."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,191) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 96, 58, 29, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 96: 1, 58: 1, 29: 1, 59: 1}. Most frequent: [87, 96, 58, 29, 59].\n</reasoning>\nFinal Answer: [87, 96, 58, 29, 59]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 10 = 285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 11x = 275. Divide by 11: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 92, 69, 70, 51, 10, 96, 31, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 92: 1, 69: 1, 70: 1, 51: 1, 10: 1, 96: 1, 31: 1, 24: 1}. Most frequent: [95, 92, 69, 70, 51, 10, 96, 31, 24].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 481 km apart. Their speeds are 89 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+60=149 km/h. Time = 481/149 = 3.2282 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46678 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46678 × 10 × 4 / 100 = 18671.2.\n</reasoning>\nFinal Answer: 18671.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 116 + -589"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 116 and -589: 116 + -589 = -473.\n</reasoning>\nFinal Answer: -473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 5 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 59/60 = 5.9833 hours. Distance = speed × time = 68 × 5.9833 = 406.8667 km.\n</reasoning>\nFinal Answer: 406.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 22 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 16+484-49=451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -278 ÷ 679"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -278 by 679. -278 ÷ 679 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 20, 46, 87, 32, 76, 37, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 20 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:34 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/34, so B = A × (34/25) = 61 × 34/25 = 82.96.\n</reasoning>\nFinal Answer: 82.96"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 46 + 17 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×46=1978 and 17×7=119, then add: 2097.\n</reasoning>\nFinal Answer: 2097"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 44 = 858.0.\n</reasoning>\nFinal Answer: 858.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 93 = 4278.\n</reasoning>\nFinal Answer: 4278"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -399 × 441"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -399 by 441: -399 × 441 = -175959.\n</reasoning>\nFinal Answer: -175959"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 26 = -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 23x = -46. Divide by 23: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 * 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/5) × (4/20) = (20/100) = 1/5 after simplification.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 8, 14, 15, 17] and B = [3, 6, 7, 8, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 7, 8, 14].\n</reasoning>\nFinal Answer: [6, 7, 8, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -12 = -140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 8x = -128. Divide by 8: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -41 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 14x = 42. Divide by 14: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:26 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/26, so B = A × (26/8) = 12 × 26/8 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 76, 87, 6, 38, 25, 50, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 459/8 = 57.375.\n</reasoning>\nFinal Answer: 57.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:37 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/37, so B = A × (37/14) = 40 × 37/14 = 105.7143.\n</reasoning>\nFinal Answer: 105.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "61 is what percentage of 360?"
},
{
"role": "assistant",
"content": "<reasoning>\n(61/360) × 100 = 16.9444%.\n</reasoning>\nFinal Answer: 16.9444%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 130 km apart. Their speeds are 67 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+76=143 km/h. Time = 130/143 = 0.9091 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 41, 25, 25, 4, 18, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 18, 25, 25, 34, 41, 49]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 32 + 45 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×32=640 and 45×17=765, then add: 1405.\n</reasoning>\nFinal Answer: 1405"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = 161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -940 × -231"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -940 by -231: -940 × -231 = 217140.\n</reasoning>\nFinal Answer: 217140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 31, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 31 + 37 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -43 = 1217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 28x = 1260. Divide by 28: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 12, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (14-1)×12 = 49 + 156 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 37, 4, 30, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 37 - 4 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 282 × -231"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 282 by -231: 282 × -231 = -65142.\n</reasoning>\nFinal Answer: -65142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 10, 12, 13, 14] and B = [2, 7, 8, 12, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 8, 9, 10, 12, 13, 14, 16, 18].\n</reasoning>\nFinal Answer: [2, 6, 7... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 146 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 146 × (1 + 20/100) = 146 × 1.2 = 175.2.\n</reasoning>\nFinal Answer: 175.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 + 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/12 + 6/2. Common denominator = 3. Result = 13/3.\n</reasoning>\nFinal Answer: 13/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 17 + 12 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×17=34 and 12×46=552, then add: 586.\n</reasoning>\nFinal Answer: 586"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 26, 47, 89, 27, 99, 94, 72, 84, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 26 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 571 km apart. Their speeds are 74 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+95=169 km/h. Time = 571/169 = 3.3787 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 23 - 417"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 417 from 23: 23 - 417 = -394.\n</reasoning>\nFinal Answer: -394"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -673 - -774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -774 from -673: -673 - -774 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 61, 83, 71, 1, 18, 74, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 5, 16, 18, 61, 71, 74, 83]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 96, 80, 1, 66, 29, 97, 94, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 60, 42, 86, 30, 81, 63, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 60: 1, 42: 1, 86: 1, 30: 1, 81: 1, 63: 1, 11: 1}. Most frequent: [83, 60, 42, 86, 30, 81, 63, 11].\n</reasoning>\nFinal Answer: [83, 60,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 46 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 13x = 143. Divide by 13: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 5% of 210?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 210 = (5/100) × 210 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 46) * (34 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+46)=67, (34-21)=13, then 67×13=871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 657 - 864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 864 from 657: 657 - 864 = -207.\n</reasoning>\nFinal Answer: -207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -50 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (16)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×2×0 = 256. √discriminant = 16. x = (-(16) ± 16) / (2×2). Solutions: x = -8 or x = 0.\n</reasoning>\nFinal Answer: x = -8 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 584 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 584 × (1 - 100/100) = 584 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 4, 70, 43, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 4 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 40% of 611?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 611 = (40/100) × 611 = 244.4.\n</reasoning>\nFinal Answer: 244.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -3 = 333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 16x = 336. Divide by 16: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
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