messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 494 - -670"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -670 from 494: 494 - -670 = 1164.\n</reasoning>\nFinal Answer: 1164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:14 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/14, so B = A × (14/3) = 24 × 14/3 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:26 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/26, so B = A × (26/9) = 92 × 26/9 = 265.7778.\n</reasoning>\nFinal Answer: 265.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:32 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/32, so B = A × (32/3) = 39 × 32/3 = 416.0.\n</reasoning>\nFinal Answer: 416.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -26 = -729"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 19x = -703. Divide by 19: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 27 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 8x = 224. Divide by 8: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29812 at 18% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29812 × 18 × 10 / 100 = 53661.6.\n</reasoning>\nFinal Answer: 53661.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:28 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/28, so B = A × (28/2) = 49 × 28/2 = 686.0.\n</reasoning>\nFinal Answer: 686.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:11 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/11, so B = A × (11/4) = 9 × 11/4 = 24.75.\n</reasoning>\nFinal Answer: 24.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37984 at 12% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37984 × 12 × 8 / 100 = 36464.64.\n</reasoning>\nFinal Answer: 36464.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:49 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/49, so B = A × (49/36) = 23 × 49/36 = 31.3056.\n</reasoning>\nFinal Answer: 31.3056"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 51, 67, 87, 88, 97, 69, 31, 50, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 672/10 = 67.2.\n</reasoning>\nFinal Answer: 67.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (80)x + (400) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 80² - 4×4×400 = 0. √discriminant = 0. x = (-(80) ± 0) / (2×4). Solutions: x = -10 (double root).\n</reasoning>\nFinal Answer: x = -10 (double r... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -3 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 7x = 49. Divide by 7: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -13 = -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 15x = -375. Divide by 15: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 158 km/h. How far does it travel in 9 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 49/60 = 9.8167 hours. Distance = speed × time = 158 × 9.8167 = 1551.0333 km.\n</reasoning>\nFinal Answer: 1551.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 + 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/12 + 10/8. Common denominator = 12. Result = 31/12.\n</reasoning>\nFinal Answer: 31/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 118 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 118 × (1 - 70/100) = 118 × 0.30000000000000004 = 35.4.\n</reasoning>\nFinal Answer: 35.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 68, 62, 90, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 23, 62, 68, 90]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 39 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 5+1521-27=1499.\n</reasoning>\nFinal Answer: 1499"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-50)x + (45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -50² - 4×5×45 = 1600. √discriminant = 40. x = (-(-50) ± 40) / (2×5). Solutions: x = 9 or x = 1.\n</reasoning>\nFinal Answer: x = 9 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 24, 55, 57, 85, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 384/6 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×24)/1 = 1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 12 * 12 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×12=144, then 40+144-41=143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 704 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 704 × (1 + 100/100) = 704 × 2.0 = 1408.0.\n</reasoning>\nFinal Answer: 1408.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×43)/1 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 12, 17, 31, 42, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 195/6 = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 4/5. LCD = 5. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 356 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 356 × (1 + 5/100) = 356 × 1.05 = 373.8.\n</reasoning>\nFinal Answer: 373.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -21 = 139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 20x = 160. Divide by 20: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:32 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/32, so B = A × (32/36) = 78 × 32/36 = 69.3333.\n</reasoning>\nFinal Answer: 69.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 79 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 79 + 1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 112 + 172"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 112 and 172: 112 + 172 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 21, 27, 33, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 6. Next term = 39 + 6 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 21, 68, 75, 9, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 21, 68, 75, 81, 99]. Middle value(s) → median = 71.5.\n</reasoning>\nFinal Answer: 71.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 41, 30, 53, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 41: 1, 30: 1, 53: 1, 15: 1}. Most frequent: [80, 41, 30, 53, 15].\n</reasoning>\nFinal Answer: [80, 41, 30, 53, 15]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -67 × 840"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -67 by 840: -67 × 840 = -56280.\n</reasoning>\nFinal Answer: -56280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 * 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/12) × (11/1) = (33/12) = 11/4 after simplification.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 8 = 629"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 27x = 621. Divide by 27: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -193 + 915"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -193 and 915: -193 + 915 = 722.\n</reasoning>\nFinal Answer: 722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 171 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(171,26) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -778 × 179"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -778 by 179: -778 × 179 = -139262.\n</reasoning>\nFinal Answer: -139262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -387 ÷ 309"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -387 by 309. -387 ÷ 309 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -461 mod 920"
},
{
"role": "assistant",
"content": "<reasoning>\n-461 mod 920: -461 = 920 × -1 + 459, so remainder = 459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×17)/1 = 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -12 = -408"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 9x = -396. Divide by 9: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:40 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/40, so B = A × (40/35) = 36 × 40/35 = 41.1429.\n</reasoning>\nFinal Answer: 41.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:48 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/48, so B = A × (48/9) = 68 × 48/9 = 362.6667.\n</reasoning>\nFinal Answer: 362.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 48) * (42 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+48)=58, (42-32)=10, then 58×10=580.\n</reasoning>\nFinal Answer: 580"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -32 = -380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 12x = -348. Divide by 12: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 28 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+28) × 5 = 115.0.\n</reasoning>\nFinal Answer: 115.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 48) * (43 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+48)=58, (43-24)=19, then 58×19=1102.\n</reasoning>\nFinal Answer: 1102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 140 apples and buys 188 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 140 + 188 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 - 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/7 - 19/13. LCD = 91. Result = 101/91.\n</reasoning>\nFinal Answer: 101/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 / 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/12) ÷ (17/12) = (9/12) × (12/17) = 9/17.\n</reasoning>\nFinal Answer: 9/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 15 + 43 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×15=330 and 43×28=1204, then add: 1534.\n</reasoning>\nFinal Answer: 1534"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 686 - 443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 443 from 686: 686 - 443 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 15 = 1155.\n</reasoning>\nFinal Answer: 1155"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×44)/2 = 1012.\n</reasoning>\nFinal Answer: 1012"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:15 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/15, so B = A × (15/1) = 97 × 15/1 = 1455.0.\n</reasoning>\nFinal Answer: 1455.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×42)/7 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:47 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/47, so B = A × (47/46) = 7 × 47/46 = 7.1522.\n</reasoning>\nFinal Answer: 7.1522"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 74, 45, 12, 88, 56, 97, 73, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 12 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 39, 18, 98, 85, 61, 48, 74, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 18, 39, 48, 61, 63, 74, 85, 98]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:3 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/3, so B = A × (3/40) = 47 × 3/40 = 3.525.\n</reasoning>\nFinal Answer: 3.525"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 84, 29, 86, 73, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 29 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 303 × 777"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 303 by 777: 303 × 777 = 235431.\n</reasoning>\nFinal Answer: 235431"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 146 ÷ 530"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 146 by 530. 146 ÷ 530 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 46, 56, 31, 17, 86, 72, 45, 33, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 488/10 = 48.8.\n</reasoning>\nFinal Answer: 48.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 5, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (45-1)×5 = 19 + 220 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 89, 95, 37, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 341/5 = 68.2.\n</reasoning>\nFinal Answer: 68.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 * 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/13) × (20/2) = (240/26) = 120/13 after simplification.\n</reasoning>\nFinal Answer: 120/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -524 × -768"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -524 by -768: -524 × -768 = 402432.\n</reasoning>\nFinal Answer: 402432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -23 = -443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 20x = -420. Divide by 20: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 971 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 971 × (1 - 90/100) = 971 × 0.09999999999999998 = 97.1.\n</reasoning>\nFinal Answer: 97.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 38 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+38) × 16 = 640.0.\n</reasoning>\nFinal Answer: 640.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 23 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 3x = 27. Divide by 3: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:9 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/9, so B = A × (9/46) = 39 × 9/46 = 7.6304.\n</reasoning>\nFinal Answer: 7.6304"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -33 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 1x = -20. Divide by 1: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 50 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+50) × 38 = 1520.0.\n</reasoning>\nFinal Answer: 1520.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4896 at 12% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4896 × 12 × 4 / 100 = 2350.08.\n</reasoning>\nFinal Answer: 2350.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 35, 5, 33, 22, 78, 70, 64, 58, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 19, 22, 33, 35, 58, 64, 70, 78, 80]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 320 ÷ -840"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 320 by -840. 320 ÷ -840 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 165 - -155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -155 from 165: 165 - -155 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 / 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/10) ÷ (3/14) = (3/10) × (14/3) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 94, 13, 45, 73, 2, 89, 92, 20, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 13, 18, 20, 23, 45, 73, 89, 92, 94]. Middle value(s) → median = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 16 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 18x = 288. Divide by 18: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 337 - -286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -286 from 337: 337 - -286 = 623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 611 - 655"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 655 from 611: 611 - 655 = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 4, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (40-1)×4 = 48 + 156 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 317 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 317 × (1 - 3/100) = 317 × 0.97 = 307.49.\n</reasoning>\nFinal Answer: 307.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 131 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 131 × (1 + 25/100) = 131 × 1.25 = 163.75.\n</reasoning>\nFinal Answer: 163.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:7 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/7, so B = A × (7/5) = 32 × 7/5 = 44.8.\n</reasoning>\nFinal Answer: 44.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-25)x + (-70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -25² - 4×5×-70 = 2025. √discriminant = 45. x = (-(-25) ± 45) / (2×5). Solutions: x = 7 or x = -2.\n</reasoning>\nFinal Answer: x = 7 or x = -2... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 496 + 685"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 496 and 685: 496 + 685 = 1181.\n</reasoning>\nFinal Answer: 1181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 + 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/12 + 17/19. Common denominator = 114. Result = 197/114.\n</reasoning>\nFinal Answer: 197/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 * 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/6) × (13/15) = (143/90) = 143/90 after simplification.\n</reasoning>\nFinal Answer: 143/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 155?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 155 = (15/100) × 155 = 23.25.\n</reasoning>\nFinal Answer: 23.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 * 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/20) × (4/3) = (64/60) = 16/15 after simplification.\n</reasoning>\nFinal Answer: 16/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 96 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 96 + 152 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
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