messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 3% of 671?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 671 = (3/100) × 671 = 20.13.\n</reasoning>\nFinal Answer: 20.13"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 38, 60, 18, 29, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 11 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 / 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/18) ÷ (5/2) = (12/18) × (2/5) = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+54) = 2×145 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (28)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×2×90 = 64. √discriminant = 8. x = (-(28) ± 8) / (2×2). Solutions: x = -5 or x = -9.\n</reasoning>\nFinal Answer: x = -5 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 129."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 129 by smallest primes repeatedly: 129 = 3 × 43.\n</reasoning>\nFinal Answer: 3 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -10 = 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 24x = 264. Divide by 24: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 9 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 9 = 171 worker-days. New time = 171 / 4 = 42.75 days.\n</reasoning>\nFinal Answer: 42.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 34 = -691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 25x = -725. Divide by 25: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 54, 49, 85, 3, 48, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 2, 54: 1, 49: 1, 85: 1, 3: 1, 48: 1}. Most frequent: 11.\n</reasoning>\nFinal Answer: 11"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:19 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/19, so B = A × (19/12) = 9 × 19/12 = 14.25.\n</reasoning>\nFinal Answer: 14.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 87, 46, 50, 43, 14, 54, 28, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 14 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 81, 87, 8, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 81: 1, 87: 1, 8: 1, 16: 1}. Most frequent: [94, 81, 87, 8, 16].\n</reasoning>\nFinal Answer: [94, 81, 87, 8, 16]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:22 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/22, so B = A × (22/28) = 71 × 22/28 = 55.7857.\n</reasoning>\nFinal Answer: 55.7857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 832 ÷ 248"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 832 by 248. 832 ÷ 248 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 254 mod -82"
},
{
"role": "assistant",
"content": "<reasoning>\n254 mod -82: 254 = -82 × -4 + -74, so remainder = -74.\n</reasoning>\nFinal Answer: -74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13375 at 12% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13375 × 12 × 4 / 100 = 6420.0.\n</reasoning>\nFinal Answer: 6420.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 51 = 3213.\n</reasoning>\nFinal Answer: 3213"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 198 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 198 = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 30 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 42+900-41=901.\n</reasoning>\nFinal Answer: 901"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:29 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/29, so B = A × (29/43) = 45 × 29/43 = 30.3488.\n</reasoning>\nFinal Answer: 30.3488"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/9) ÷ (15/13) = (16/9) × (13/15) = 208/135.\n</reasoning>\nFinal Answer: 208/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 123 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 123 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:48 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/48, so B = A × (48/14) = 68 × 48/14 = 233.1429.\n</reasoning>\nFinal Answer: 233.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 25 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 44+625-22=647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = 174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = 174. Divide by 29: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 43, 60, 77, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 17. Next term = 94 + 17 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -757 × 290"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -757 by 290: -757 × 290 = -219530.\n</reasoning>\nFinal Answer: -219530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 10 = -458"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 18x = -468. Divide by 18: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 38 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 11+1444-13=1442.\n</reasoning>\nFinal Answer: 1442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 8, 47, 40, 90, 18, 71, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 8: 1, 47: 1, 40: 1, 90: 1, 18: 1, 71: 1, 95: 1}. Most frequent: [63, 8, 47, 40, 90, 18, 71, 95].\n</reasoning>\nFinal Answer: [63, 8, 47,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -335 ÷ 410"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -335 by 410. -335 ÷ 410 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:23 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/23, so B = A × (23/26) = 44 × 23/26 = 38.9231.\n</reasoning>\nFinal Answer: 38.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+67) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 8, 11, 14, 18] and B = [5, 8, 9, 11, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 3, 6, 14].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 14]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 9, 11, 12, 13, 16] and B = [4, 6, 10, 11, 12, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 9, 10, 13, 14].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 24 + 39 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×24=720 and 39×41=1599, then add: 2319.\n</reasoning>\nFinal Answer: 2319"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 171 ÷ -172"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 171 by -172. 171 ÷ -172 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 27, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 27 + 30 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 95 = 2470.\n</reasoning>\nFinal Answer: 2470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -1 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 3x = 27. Divide by 3: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 19 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+19) × 15 = 337.5.\n</reasoning>\nFinal Answer: 337.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 80 = 7680.\n</reasoning>\nFinal Answer: 7680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 96, 80, 57, 29, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 20 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 35% of 774?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 774 = (35/100) × 774 = 270.9.\n</reasoning>\nFinal Answer: 270.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 428 km apart. Their speeds are 92 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+50=142 km/h. Time = 428/142 = 3.0141 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 2, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (49-1)×2 = 40 + 96 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 693 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 693 × (1 + 40/100) = 693 × 1.4 = 970.2.\n</reasoning>\nFinal Answer: 970.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -766 - -640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -640 from -766: -766 - -640 = -126.\n</reasoning>\nFinal Answer: -126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 653 + 138"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 653 and 138: 653 + 138 = 791.\n</reasoning>\nFinal Answer: 791"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 40) * (22 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+40)=64, (22-9)=13, then 64×13=832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/15) ÷ (15/13) = (16/15) × (13/15) = 208/225.\n</reasoning>\nFinal Answer: 208/225"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 1 * 19 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×19=19, then 50+19-7=62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:17 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/17, so B = A × (17/50) = 48 × 17/50 = 16.32.\n</reasoning>\nFinal Answer: 16.32"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 18] and B = [1, 11, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8, 18].\n</reasoning>\nFinal Answer: [5, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 37, 46, 66, 83, 27, 18, 36, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 457/9 = 50.7778.\n</reasoning>\nFinal Answer: 50.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 912 × -415"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 912 by -415: 912 × -415 = -378480.\n</reasoning>\nFinal Answer: -378480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 60 = 3900.\n</reasoning>\nFinal Answer: 3900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:13 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/13, so B = A × (13/44) = 20 × 13/44 = 5.9091.\n</reasoning>\nFinal Answer: 5.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 75 ÷ 963"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 75 by 963. 75 ÷ 963 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 550 - -501"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -501 from 550: 550 - -501 = 1051.\n</reasoning>\nFinal Answer: 1051"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 12, 13, 16, 19] and B = [2, 6, 11, 14, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 19].\n</reasoning>\nFinal Answer: [2, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 6 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 28/60 = 6.4667 hours. Distance = speed × time = 177 × 6.4667 = 1144.6 km.\n</reasoning>\nFinal Answer: 1144.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (16/2) = (112/8) = 14 after simplification.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 - 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/2 - 17/11. LCD = 22. Result = 109/22.\n</reasoning>\nFinal Answer: 109/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 69 = 3933.\n</reasoning>\nFinal Answer: 3933"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -545 ÷ -577"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -545 by -577. -545 ÷ -577 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -122 × 539"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -122 by 539: -122 × 539 = -65758.\n</reasoning>\nFinal Answer: -65758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:24 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/24, so B = A × (24/29) = 43 × 24/29 = 35.5862.\n</reasoning>\nFinal Answer: 35.5862"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 51, 57, 29, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 57 - 29 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 16, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (29-1)×16 = 49 + 448 = 497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -49 = 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 29x = 696. Divide by 29: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -152 - 925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 925 from -152: -152 - 925 = -1077.\n</reasoning>\nFinal Answer: -1077"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 35, 77, 11, 31, 26, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 26, 31, 35, 36, 77, 80]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 45 = 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 27x = 837. Divide by 27: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 4 * 42 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×42=168, then 41+168-5=204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-21)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -21² - 4×3×-90 = 1521. √discriminant = 39. x = (-(-21) ± 39) / (2×3). Solutions: x = -3 or x = 10.\n</reasoning>\nFinal Answer: x = -3 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -252 ÷ 563"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -252 by 563. -252 ÷ 563 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 45, 88, 26, 76, 45, 72, 82, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 20 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 20 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 18+400-28=390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -10 = 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 8x = 72. Divide by 8: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 18 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 18 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 320 - 975"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 975 from 320: 320 - 975 = -655.\n</reasoning>\nFinal Answer: -655"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -662 × 993"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -662 by 993: -662 × 993 = -657366.\n</reasoning>\nFinal Answer: -657366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "62 is what percentage of 412?"
},
{
"role": "assistant",
"content": "<reasoning>\n(62/412) × 100 = 15.0485%.\n</reasoning>\nFinal Answer: 15.0485%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -31 = -736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 15x = -705. Divide by 15: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 137 km/h. How far does it travel in 5 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 16/60 = 5.2667 hours. Distance = speed × time = 137 × 5.2667 = 721.5333 km.\n</reasoning>\nFinal Answer: 721.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 196 apples and buys 116 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 196 + 116 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -1 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 1x = -35. Divide by 1: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 * 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/20) × (1/14) = (11/280) = 11/280 after simplification.\n</reasoning>\nFinal Answer: 11/280"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 10, 11, 13, 16, 17, 19] and B = [4, 9, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 17].\n</reasoning>\nFinal Answer: [9, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 13 = -251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 11x = -264. Divide by 11: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/12) ÷ (18/15) = (14/12) × (15/18) = 35/36.\n</reasoning>\nFinal Answer: 35/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 11 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 4/60 = 11.0667 hours. Distance = speed × time = 123 × 11.0667 = 1361.2 km.\n</reasoning>\nFinal Answer: 1361.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 12 + 18 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×12=360 and 18×1=18, then add: 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 8 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 5/60 = 8.0833 hours. Distance = speed × time = 96 × 8.0833 = 776.0 km.\n</reasoning>\nFinal Answer: 776.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 + 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/6 + 12/5. Common denominator = 30. Result = 157/30.\n</reasoning>\nFinal Answer: 157/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -41 = -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 - 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/12 - 15/9. LCD = 6. Result = -3/2.\n</reasoning>\nFinal Answer: -3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 35, 66, 41, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/5 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
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