messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 3x + 21 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 3x = -93. Divide by 3: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 100, 11, 22, 80, 27, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 22, 27, 63, 77, 80, 100]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 17, 31, 45, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 14. Next term = 59 + 14 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 + 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/15 + 6/2. Common denominator = 15. Result = 46/15.\n</reasoning>\nFinal Answer: 46/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 967 km apart. Their speeds are 72 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+102=174 km/h. Time = 967/174 = 5.5575 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 6 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 6 = 66 worker-days. New time = 66 / 6 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -14 = -198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 4x = -184. Divide by 4: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -24 = -388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 13x = -364. Divide by 13: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 / 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/13) ÷ (20/1) = (17/13) × (1/20) = 17/260.\n</reasoning>\nFinal Answer: 17/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -32 = 408"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 10x = 440. Divide by 10: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (1/20) = (11/200) = 11/200 after simplification.\n</reasoning>\nFinal Answer: 11/200"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 27, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 27 + 35 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6, 10, 13, 14, 17] and B = [3, 4, 7, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 6, 7, 10, 13, 14, 17, 18].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 79, 21, 94, 38, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 31, 38, 79, 81, 94]. Middle value(s) → median = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 971 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 971 × (1 + 35/100) = 971 × 1.35 = 1310.85.\n</reasoning>\nFinal Answer: 1310.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 626 - -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from 626: 626 - -30 = 656.\n</reasoning>\nFinal Answer: 656"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 50, 44, 18, 27, 12, 99, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 50: 1, 44: 1, 18: 1, 27: 1, 12: 1, 99: 1, 53: 1}. Most frequent: [2, 50, 44, 18, 27, 12, 99, 53].\n</reasoning>\nFinal Answer: [2, 50, 44,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 140 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 140 × (1 - 10/100) = 140 × 0.9 = 126.0.\n</reasoning>\nFinal Answer: 126.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 82, 74, 40, 17, 65, 54, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 82: 1, 74: 1, 40: 1, 17: 1, 65: 1, 54: 1, 38: 1}. Most frequent: [57, 82, 74, 40, 17, 65, 54, 38].\n</reasoning>\nFinal Answer: [57, 82,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 4 = -406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 10x = -410. Divide by 10: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -305 mod -389"
},
{
"role": "assistant",
"content": "<reasoning>\n-305 mod -389: -305 = -389 × 0 + -305, so remainder = -305.\n</reasoning>\nFinal Answer: -305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:31 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/31, so B = A × (31/13) = 80 × 31/13 = 190.7692.\n</reasoning>\nFinal Answer: 190.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3389 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3389 × 17 × 3 / 100 = 1728.39.\n</reasoning>\nFinal Answer: 1728.39"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:22 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/22, so B = A × (22/48) = 16 × 22/48 = 7.3333.\n</reasoning>\nFinal Answer: 7.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+21) = 2×23 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 11, 14, 18] and B = [2, 7, 10, 11, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 18].\n</reasoning>\nFinal Answer: [1, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 947 - -546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -546 from 947: 947 - -546 = 1493.\n</reasoning>\nFinal Answer: 1493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 / 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/5) ÷ (17/11) = (2/5) × (11/17) = 22/85.\n</reasoning>\nFinal Answer: 22/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 83 = 581.\n</reasoning>\nFinal Answer: 581"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-48 = 576. √discriminant = 24. x = (-(0) ± 24) / (2×3). Solutions: x = -4 or x = 4.\n</reasoning>\nFinal Answer: x = -4 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:20 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/20, so B = A × (20/1) = 61 × 20/1 = 1220.0.\n</reasoning>\nFinal Answer: 1220.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 61 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 61 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 - 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/1 - 3/14. LCD = 14. Result = 53/14.\n</reasoning>\nFinal Answer: 53/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×31)/1 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 15, 16, 19] and B = [1, 4, 7, 8, 9, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 7, 8, 9, 11, 18, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+70) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 7, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (39-1)×7 = 20 + 266 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1826. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1826 × 12/100 = 219.12. Total = 1826 + 219.12 = 2045.12.\n</reasoning>\nFinal Answer: 2045.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -18 = 382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 10x = 400. Divide by 10: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:30 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/30, so B = A × (30/32) = 44 × 30/32 = 41.25.\n</reasoning>\nFinal Answer: 41.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 857 km apart. Their speeds are 91 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+64=155 km/h. Time = 857/155 = 5.529 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9] and B = [1, 5, 6, 8, 11, 14, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 9].\n</reasoning>\nFinal Answer: [7, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 - 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/2 - 19/2. LCD = 2. Result = -15/2.\n</reasoning>\nFinal Answer: -15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 / 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/10) ÷ (7/3) = (2/10) × (3/7) = 3/35.\n</reasoning>\nFinal Answer: 3/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 44 + 43 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×44=440 and 43×8=344, then add: 784.\n</reasoning>\nFinal Answer: 784"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 27 = -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 14x = -406. Divide by 14: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 686 × 368"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 686 by 368: 686 × 368 = 252448.\n</reasoning>\nFinal Answer: 252448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 66, 17, 90, 46, 33, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 17, 33, 46, 66, 86, 90]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 151."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,151) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+46) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 71 = 5893.\n</reasoning>\nFinal Answer: 5893"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "173 is what percentage of 415?"
},
{
"role": "assistant",
"content": "<reasoning>\n(173/415) × 100 = 41.6867%.\n</reasoning>\nFinal Answer: 41.6867%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 39 + 26 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×39=1170 and 26×31=806, then add: 1976.\n</reasoning>\nFinal Answer: 1976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 8 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 8 × 95 = 760.\n</reasoning>\nFinal Answer: 760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -28 = 1016"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 29x = 1044. Divide by 29: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -9 = 459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 12x = 468. Divide by 12: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 503 km apart. Their speeds are 61 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+107=168 km/h. Time = 503/168 = 2.994 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 11 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 18/60 = 11.3000 hours. Distance = speed × time = 126 × 11.3000 = 1423.8 km.\n</reasoning>\nFinal Answer: 1423.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 94, 49, 73, 100, 59, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 94: 1, 49: 1, 73: 1, 100: 1, 59: 1, 32: 1}. Most frequent: [43, 94, 49, 73, 100, 59, 32].\n</reasoning>\nFinal Answer: [43, 94, 49, 73, 100... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -15 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 3x = 51. Divide by 3: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 658 mod 66"
},
{
"role": "assistant",
"content": "<reasoning>\n658 mod 66: 658 = 66 × 9 + 64, so remainder = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [6, 12, 27, 95, 100, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 267/6 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:44 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/44, so B = A × (44/3) = 71 × 44/3 = 1041.3333.\n</reasoning>\nFinal Answer: 1041.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -594 - 692"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 692 from -594: -594 - 692 = -1286.\n</reasoning>\nFinal Answer: -1286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 20, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 20 + 30 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 31 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 4x = -20. Divide by 4: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 51 = 714.0.\n</reasoning>\nFinal Answer: 714.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 13, 15, 19] and B = [3, 11, 12, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 571 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 571 × (1 - 35/100) = 571 × 0.65 = 371.15.\n</reasoning>\nFinal Answer: 371.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 15 + 4 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×15=525 and 4×23=92, then add: 617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39340 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39340 × 10 × 7 / 100 = 27538.0.\n</reasoning>\nFinal Answer: 27538.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -15 = 625"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 16x = 640. Divide by 16: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 36 = -1153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 29x = -1189. Divide by 29: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 8, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (15-1)×8 = 46 + 112 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 50% of 822?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 822 = (50/100) × 822 = 411.0.\n</reasoning>\nFinal Answer: 411.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -49 = 342"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 23x = 391. Divide by 23: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 48, 97, 100, 39, 59, 64, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 519/8 = 64.875.\n</reasoning>\nFinal Answer: 64.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 964 ÷ -515"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 964 by -515. 964 ÷ -515 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -419 × -412"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -419 by -412: -419 × -412 = 172628.\n</reasoning>\nFinal Answer: 172628"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 692 - -361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -361 from 692: 692 - -361 = 1053.\n</reasoning>\nFinal Answer: 1053"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 40 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+40) × 50 = 1200.0.\n</reasoning>\nFinal Answer: 1200.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:15 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/15, so B = A × (15/34) = 38 × 15/34 = 16.7647.\n</reasoning>\nFinal Answer: 16.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 42 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 611 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 611 × (1 - 15/100) = 611 × 0.85 = 519.35.\n</reasoning>\nFinal Answer: 519.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 14 + 16 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×14=308 and 16×27=432, then add: 740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "313 is what percentage of 365?"
},
{
"role": "assistant",
"content": "<reasoning>\n(313/365) × 100 = 85.7534%.\n</reasoning>\nFinal Answer: 85.7534%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 16 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 16 = 96 worker-days. New time = 96 / 4 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -539 × 878"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -539 by 878: -539 × 878 = -473242.\n</reasoning>\nFinal Answer: -473242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 67 and 67."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(67,67) = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 86, 23, 47, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 23 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 10, 13, 17, 19] and B = [6, 10, 11, 14, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 7, 13].\n</reasoning>\nFinal Answer: [2, 5, 7, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 248 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 248 × (1 + 50/100) = 248 × 1.5 = 372.0.\n</reasoning>\nFinal Answer: 372.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-22)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -22² - 4×2×60 = 4. √discriminant = 2. x = (-(-22) ± 2) / (2×2). Solutions: x = 5 or x = 6.\n</reasoning>\nFinal Answer: x = 5 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 * 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/10) × (15/14) = (135/140) = 27/28 after simplification.\n</reasoning>\nFinal Answer: 27/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+69) = 2×163 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 67, 96, 82, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 67, 68, 82, 96]. Middle value(s) → median = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-20)x + (50) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×2×50 = 0. √discriminant = 0. x = (-(-20) ± 0) / (2×2). Solutions: x = 5 (double root).\n</reasoning>\nFinal Answer: x = 5 (double root... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (70)x + (200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 70² - 4×5×200 = 900. √discriminant = 30. x = (-(70) ± 30) / (2×5). Solutions: x = -4 or x = -10.\n</reasoning>\nFinal Answer: x = -4 or x = -10... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 637 + -619"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 637 and -619: 637 + -619 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 149 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 149 + 44 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"word_problem",
"applied_math"
] |
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