messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 577 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 577 × (1 - 45/100) = 577 × 0.55 = 317.35.\n</reasoning>\nFinal Answer: 317.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "236 is what percentage of 726?"
},
{
"role": "assistant",
"content": "<reasoning>\n(236/726) × 100 = 32.5069%.\n</reasoning>\nFinal Answer: 32.5069%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 16, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (27-1)×16 = 17 + 416 = 433.\n</reasoning>\nFinal Answer: 433"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 21 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 8+441-42=407.\n</reasoning>\nFinal Answer: 407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 29 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 29 = 464 worker-days. New time = 464 / 7 = 66.2857 days.\n</reasoning>\nFinal Answer: 66.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 82 = 4018.\n</reasoning>\nFinal Answer: 4018"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 923 km apart. Their speeds are 73 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+116=189 km/h. Time = 923/189 = 4.8836 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 75% of 573?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 573 = (75/100) × 573 = 429.75.\n</reasoning>\nFinal Answer: 429.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 28 * 34 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×34=952, then 23+952-31=944.\n</reasoning>\nFinal Answer: 944"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:44 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/44, so B = A × (44/4) = 43 × 44/4 = 473.0.\n</reasoning>\nFinal Answer: 473.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:30 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/30, so B = A × (30/44) = 80 × 30/44 = 54.5455.\n</reasoning>\nFinal Answer: 54.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -519 - 443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 443 from -519: -519 - 443 = -962.\n</reasoning>\nFinal Answer: -962"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 49 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 7x = -70. Divide by 7: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 4, 28, 22, 57, 86, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 298/7 = 42.5714.\n</reasoning>\nFinal Answer: 42.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -325 ÷ 85"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -325 by 85. -325 ÷ 85 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "1 is what percentage of 11?"
},
{
"role": "assistant",
"content": "<reasoning>\n(1/11) × 100 = 9.0909%.\n</reasoning>\nFinal Answer: 9.0909%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 + 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/1 + 6/16. Common denominator = 8. Result = 131/8.\n</reasoning>\nFinal Answer: 131/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -12 = -392"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 10x = -380. Divide by 10: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (9)x + (-210) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×3×-210 = 2601. √discriminant = 51. x = (-(9) ± 51) / (2×3). Solutions: x = -10 or x = 7.\n</reasoning>\nFinal Answer: x = -10 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -602 × 949"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -602 by 949: -602 × 949 = -571298.\n</reasoning>\nFinal Answer: -571298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 86, 18, 50, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 86: 1, 18: 1, 50: 1, 4: 1}. Most frequent: [20, 86, 18, 50, 4].\n</reasoning>\nFinal Answer: [20, 86, 18, 50, 4]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 36, 87, 19, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 19, 36, 57, 87]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 * 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/11) × (11/11) = (110/121) = 10/11 after simplification.\n</reasoning>\nFinal Answer: 10/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 25 = 1500.\n</reasoning>\nFinal Answer: 1500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 32) * (41 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+32)=67, (41-28)=13, then 67×13=871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-35)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -35² - 4×5×0 = 1225. √discriminant = 35. x = (-(-35) ± 35) / (2×5). Solutions: x = 0 or x = 7.\n</reasoning>\nFinal Answer: x = 0 or x = 7"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 / 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/9) ÷ (1/20) = (19/9) × (20/1) = 380/9.\n</reasoning>\nFinal Answer: 380/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "144 is what percentage of 404?"
},
{
"role": "assistant",
"content": "<reasoning>\n(144/404) × 100 = 35.6436%.\n</reasoning>\nFinal Answer: 35.6436%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 20, 51, 14, 72, 2, 93, 20, 81, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 20: 2, 51: 1, 14: 1, 72: 1, 2: 1, 93: 1, 81: 1, 41: 1}. Most frequent: 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 - 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/14 - 7/20. LCD = 140. Result = 151/140.\n</reasoning>\nFinal Answer: 151/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 18 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+18) × 39 = 1053.0.\n</reasoning>\nFinal Answer: 1053.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 521 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 521 × (1 + 10/100) = 521 × 1.1 = 573.1.\n</reasoning>\nFinal Answer: 573.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 68 ÷ 978"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 68 by 978. 68 ÷ 978 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 120 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 120 × (1 - 60/100) = 120 × 0.4 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 38, 67, 7, 87, 86, 71, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 38: 1, 67: 1, 7: 1, 87: 1, 86: 1, 71: 1, 18: 1}. Most frequent: [28, 38, 67, 7, 87, 86, 71, 18].\n</reasoning>\nFinal Answer: [28, 38, 67... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 472 mod 592"
},
{
"role": "assistant",
"content": "<reasoning>\n472 mod 592: 472 = 592 × 0 + 472, so remainder = 472.\n</reasoning>\nFinal Answer: 472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 783 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 783 × (1 + 45/100) = 783 × 1.45 = 1135.35.\n</reasoning>\nFinal Answer: 1135.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:40 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/40, so B = A × (40/18) = 13 × 40/18 = 28.8889.\n</reasoning>\nFinal Answer: 28.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is the probability of rolling a 4 on a fair 6-sided die?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 6 equally likely outcomes. Only 1 outcome gives 4. P = 1/6.\n</reasoning>\nFinal Answer: 1/6 ≈ 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 / 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/16) ÷ (3/8) = (2/16) × (8/3) = 1/3.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -39 = 681"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 16x = 720. Divide by 16: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 35 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+35) × 50 = 1100.0.\n</reasoning>\nFinal Answer: 1100.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 / 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/16) ÷ (15/17) = (7/16) × (17/15) = 119/240.\n</reasoning>\nFinal Answer: 119/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 87 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 16 = 544.\n</reasoning>\nFinal Answer: 544"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×34)/34 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 12 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 12 = 240 worker-days. New time = 240 / 17 = 14.1176 days.\n</reasoning>\nFinal Answer: 14.1176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -474 + 162"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -474 and 162: -474 + 162 = -312.\n</reasoning>\nFinal Answer: -312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 24, 89, 81, 21, 59, 43, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 507/8 = 63.375.\n</reasoning>\nFinal Answer: 63.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:47 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/47, so B = A × (47/15) = 14 × 47/15 = 43.8667.\n</reasoning>\nFinal Answer: 43.8667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -676 - -783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -783 from -676: -676 - -783 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹737. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 737 × 28/100 = 206.36. Total = 737 + 206.36 = 943.36.\n</reasoning>\nFinal Answer: 943.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 4 + 28 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×4=188 and 28×32=896, then add: 1084.\n</reasoning>\nFinal Answer: 1084"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 867 km apart. Their speeds are 95 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+63=158 km/h. Time = 867/158 = 5.4873 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 17, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (15-1)×17 = 23 + 238 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+79) = 2×169 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:30 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/30, so B = A × (30/11) = 14 × 30/11 = 38.1818.\n</reasoning>\nFinal Answer: 38.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 142 × -178"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 142 by -178: 142 × -178 = -25276.\n</reasoning>\nFinal Answer: -25276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 83, 54, 24, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 83: 1, 54: 1, 24: 1, 36: 1}. Most frequent: [34, 83, 54, 24, 36].\n</reasoning>\nFinal Answer: [34, 83, 54, 24, 36]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 47, 15, 17, 2, 60, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 14, 15, 17, 47, 59, 60]. Middle value(s) → median = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 - 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/10 - 20/18. LCD = 45. Result = 13/45.\n</reasoning>\nFinal Answer: 13/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -500 mod 488"
},
{
"role": "assistant",
"content": "<reasoning>\n-500 mod 488: -500 = 488 × -2 + 476, so remainder = 476.\n</reasoning>\nFinal Answer: 476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 2, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (20-1)×2 = 37 + 38 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 253 × 222"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 253 by 222: 253 × 222 = 56166.\n</reasoning>\nFinal Answer: 56166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 749 mod -786"
},
{
"role": "assistant",
"content": "<reasoning>\n749 mod -786: 749 = -786 × -1 + -37, so remainder = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 10, 11, 14, 16] and B = [1, 6, 12, 15, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 16].\n</reasoning>\nFinal Answer: [1, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 92 = 4416.\n</reasoning>\nFinal Answer: 4416"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 782 - -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -283 from 782: 782 - -283 = 1065.\n</reasoning>\nFinal Answer: 1065"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 670 mod 264"
},
{
"role": "assistant",
"content": "<reasoning>\n670 mod 264: 670 = 264 × 2 + 142, so remainder = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -17 = 991"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 24x = 1008. Divide by 24: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 is what percentage of 132?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/132) × 100 = 15.1515%.\n</reasoning>\nFinal Answer: 15.1515%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 22 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 / 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/13) ÷ (9/15) = (8/13) × (15/9) = 40/39.\n</reasoning>\nFinal Answer: 40/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 45 * 26 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×26=1170, then 30+1170-28=1172.\n</reasoning>\nFinal Answer: 1172"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 43) * (8 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+43)=57, (8-42)=-34, then 57×-34=-1938.\n</reasoning>\nFinal Answer: -1938"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -9 = 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 28x = 308. Divide by 28: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -22 = -130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 27x = -108. Divide by 27: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -318 + -576"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -318 and -576: -318 + -576 = -894.\n</reasoning>\nFinal Answer: -894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -21 = 188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 19x = 209. Divide by 19: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 17 = -179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 28x = -196. Divide by 28: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 5 + 936"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 5 and 936: 5 + 936 = 941.\n</reasoning>\nFinal Answer: 941"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 34, 59, 50, 50, 70, 75, 55, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 34: 1, 59: 1, 50: 2, 70: 1, 75: 1, 55: 1, 18: 1}. Most frequent: 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 35 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 23+1225-16=1232.\n</reasoning>\nFinal Answer: 1232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "187 is what percentage of 292?"
},
{
"role": "assistant",
"content": "<reasoning>\n(187/292) × 100 = 64.0411%.\n</reasoning>\nFinal Answer: 64.0411%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [25, 31, 37, 43, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 25 and common difference 6. Next term = 49 + 6 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 811 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 811 × (1 - 40/100) = 811 × 0.6 = 486.6.\n</reasoning>\nFinal Answer: 486.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 5 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -458 - 516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 516 from -458: -458 - 516 = -974.\n</reasoning>\nFinal Answer: -974"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29389 at 10% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29389 × 10 × 8 / 100 = 23511.2.\n</reasoning>\nFinal Answer: 23511.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -30 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 16x = -288. Divide by 16: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 + 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/7 + 4/16. Common denominator = 28. Result = 79/28.\n</reasoning>\nFinal Answer: 79/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 89, 38, 98, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [38, 57, 57, 89, 98]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:4 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/4, so B = A × (4/47) = 93 × 4/47 = 7.9149.\n</reasoning>\nFinal Answer: 7.9149"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 4 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 4/5 = 0.8.\n</reasoning>\nFinal Answer: 0.8"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -782 - -278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -278 from -782: -782 - -278 = -504.\n</reasoning>\nFinal Answer: -504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 94, 85, 7, 58, 59, 61, 12, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 94: 1, 85: 1, 7: 1, 58: 1, 59: 1, 61: 1, 12: 1, 52: 1}. Most frequent: [31, 94, 85, 7, 58, 59, 61, 12, 52].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 6 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 34 = 414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 19x = 380. Divide by 19: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 + 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/3 + 14/17. Common denominator = 17. Result = 65/17.\n</reasoning>\nFinal Answer: 65/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2460. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2460 × 18/100 = 442.8. Total = 2460 + 442.8 = 2902.8.\n</reasoning>\nFinal Answer: 2902.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
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