messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 30x + 27 = 1257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 30x = 1230. Divide by 30: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 12, 15, 17] and B = [1, 3, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 11, 12, 15, 17].\n</reasoning>\nFinal Answer: [1, 3, 6, 11, 12, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 825 km apart. Their speeds are 67 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+84=151 km/h. Time = 825/151 = 5.4636 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:36 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/36, so B = A × (36/3) = 96 × 36/3 = 1152.0.\n</reasoning>\nFinal Answer: 1152.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (3/12) = (20/5) × (12/3) = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 48 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 36+2304-26=2314.\n</reasoning>\nFinal Answer: 2314"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 53, 44, 73, 89, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 53: 1, 44: 1, 73: 1, 89: 1, 39: 1}. Most frequent: [38, 53, 44, 73, 89, 39].\n</reasoning>\nFinal Answer: [38, 53, 44, 73, 89, 39]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -291 + -907"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -291 and -907: -291 + -907 = -1198.\n</reasoning>\nFinal Answer: -1198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 84, 37, 1, 7, 100, 2, 3, 79, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 3, 7, 37, 54, 79, 84, 99, 100]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 474 km apart. Their speeds are 93 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+72=165 km/h. Time = 474/165 = 2.8727 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 30, 9, 65, 32, 82, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 9 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -637 mod -722"
},
{
"role": "assistant",
"content": "<reasoning>\n-637 mod -722: -637 = -722 × 0 + -637, so remainder = -637.\n</reasoning>\nFinal Answer: -637"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:10 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/10, so B = A × (10/22) = 87 × 10/22 = 39.5455.\n</reasoning>\nFinal Answer: 39.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-9)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×3×-30 = 441. √discriminant = 21. x = (-(-9) ± 21) / (2×3). Solutions: x = 5 or x = -2.\n</reasoning>\nFinal Answer: x = 5 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 29 * 38 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×38=1102, then 45+1102-1=1146.\n</reasoning>\nFinal Answer: 1146"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -485 × 330"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -485 by 330: -485 × 330 = -160050.\n</reasoning>\nFinal Answer: -160050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -157 mod 573"
},
{
"role": "assistant",
"content": "<reasoning>\n-157 mod 573: -157 = 573 × -1 + 416, so remainder = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 2 = -873"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 25x = -875. Divide by 25: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 11, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (19-1)×11 = 37 + 198 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 165 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 165 + 82 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×25)/1 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 199 km apart. Their speeds are 53 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+78=131 km/h. Time = 199/131 = 1.5191 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 14 + 40 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×14=294 and 40×32=1280, then add: 1574.\n</reasoning>\nFinal Answer: 1574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 953 ÷ 305"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 953 by 305. 953 ÷ 305 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -990 ÷ 862"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -990 by 862. -990 ÷ 862 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 35, 78, 58, 68, 39, 11, 60, 79, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/10 = 48.6.\n</reasoning>\nFinal Answer: 48.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -827 × -621"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -827 by -621: -827 × -621 = 513567.\n</reasoning>\nFinal Answer: 513567"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 381 + 36"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 381 and 36: 381 + 36 = 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 676 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 676 × (1 + 35/100) = 676 × 1.35 = 912.6.\n</reasoning>\nFinal Answer: 912.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -344 × 836"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -344 by 836: -344 × 836 = -287584.\n</reasoning>\nFinal Answer: -287584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 13 = 500.5.\n</reasoning>\nFinal Answer: 500.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 544 mod -449"
},
{
"role": "assistant",
"content": "<reasoning>\n544 mod -449: 544 = -449 × -2 + -354, so remainder = -354.\n</reasoning>\nFinal Answer: -354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 567?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 567 = (40/100) × 567 = 226.8.\n</reasoning>\nFinal Answer: 226.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 42 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 42 × 1 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 32 * 36 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×36=1152, then 8+1152-8=1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 346?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 346 = (15/100) × 346 = 51.9.\n</reasoning>\nFinal Answer: 51.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 15 = 1080.\n</reasoning>\nFinal Answer: 1080"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3826. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3826 × 18/100 = 688.68. Total = 3826 + 688.68 = 4514.68.\n</reasoning>\nFinal Answer: 4514.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 6 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+6) × 49 = 980.0.\n</reasoning>\nFinal Answer: 980.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 50, 43, 82, 11, 76, 31, 58, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 20, 30, 31, 43, 50, 58, 76, 82]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 927 × 161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 927 by 161: 927 × 161 = 149247.\n</reasoning>\nFinal Answer: 149247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 9, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (49-1)×9 = 35 + 432 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -32 = -102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 7x = -70. Divide by 7: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 83 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(83+71) = 2×154 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9638 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9638 × 13 × 7 / 100 = 8770.58.\n</reasoning>\nFinal Answer: 8770.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:31 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/31, so B = A × (31/45) = 5 × 31/45 = 3.4444.\n</reasoning>\nFinal Answer: 3.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 26, 93, 97, 20, 35, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 26: 1, 93: 1, 97: 1, 20: 1, 35: 1, 100: 1}. Most frequent: [86, 26, 93, 97, 20, 35, 100].\n</reasoning>\nFinal Answer: [86, 26, 93, 97, 20,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 - 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/11 - 20/20. LCD = 11. Result = -6/11.\n</reasoning>\nFinal Answer: -6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 7% of 588?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 588 = (7/100) × 588 = 41.16.\n</reasoning>\nFinal Answer: 41.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 5) * (29 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+5)=8, (29-9)=20, then 8×20=160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -484 + 744"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -484 and 744: -484 + 744 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 816 km apart. Their speeds are 65 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+61=126 km/h. Time = 816/126 = 6.4762 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 28, 34, 89, 45, 61, 48, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 32, 34, 45, 48, 61, 89, 94]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13783 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13783 × 18 × 3 / 100 = 7442.82.\n</reasoning>\nFinal Answer: 7442.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 9 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 9 = 72 worker-days. New time = 72 / 13 = 5.5385 days.\n</reasoning>\nFinal Answer: 5.5385"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 69 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 69 × (1 + 80/100) = 69 × 1.8 = 124.2.\n</reasoning>\nFinal Answer: 124.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+39) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:40 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/40, so B = A × (40/27) = 61 × 40/27 = 90.3704.\n</reasoning>\nFinal Answer: 90.3704"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 97, 8, 37, 58, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 97: 1, 8: 1, 37: 1, 58: 1, 99: 1}. Most frequent: [21, 97, 8, 37, 58, 99].\n</reasoning>\nFinal Answer: [21, 97, 8, 37, 58, 99]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 5 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 5 × 35 = 87.5.\n</reasoning>\nFinal Answer: 87.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 485 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 485 × (1 - 60/100) = 485 × 0.4 = 194.0.\n</reasoning>\nFinal Answer: 194.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (34-1)×1 = 18 + 33 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 702 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 702 × (1 + 10/100) = 702 × 1.1 = 772.2.\n</reasoning>\nFinal Answer: 772.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 720 km apart. Their speeds are 81 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+90=171 km/h. Time = 720/171 = 4.2105 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 918 mod 37"
},
{
"role": "assistant",
"content": "<reasoning>\n918 mod 37: 918 = 37 × 24 + 30, so remainder = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 / 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/3) ÷ (2/4) = (20/3) × (4/2) = 40/3.\n</reasoning>\nFinal Answer: 40/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 41, 61, 81, 101]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 20. Next term = 101 + 20 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 * 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/4) × (14/15) = (252/60) = 21/5 after simplification.\n</reasoning>\nFinal Answer: 21/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+66) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 / 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/9) ÷ (14/3) = (5/9) × (3/14) = 5/42.\n</reasoning>\nFinal Answer: 5/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:17 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/17, so B = A × (17/31) = 81 × 17/31 = 44.4194.\n</reasoning>\nFinal Answer: 44.4194"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -403 - 824"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 824 from -403: -403 - 824 = -1227.\n</reasoning>\nFinal Answer: -1227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 638 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 638 × (1 + 30/100) = 638 × 1.3 = 829.4.\n</reasoning>\nFinal Answer: 829.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:9 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/9, so B = A × (9/2) = 24 × 9/2 = 108.0.\n</reasoning>\nFinal Answer: 108.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 430 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 430 × (1 - 25/100) = 430 × 0.75 = 322.5.\n</reasoning>\nFinal Answer: 322.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 3 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 8/11 = 0.7273.\n</reasoning>\nFinal Answer: 0.7273"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:37 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/37, so B = A × (37/9) = 59 × 37/9 = 242.5556.\n</reasoning>\nFinal Answer: 242.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 45 = -645"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 30x = -690. Divide by 30: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 4) * (22 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+4)=10, (22-7)=15, then 10×15=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "28 is what percentage of 49?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/49) × 100 = 57.1429%.\n</reasoning>\nFinal Answer: 57.1429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 7, 12, 17, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 5. Next term = 22 + 5 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 30 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 16+900-38=878.\n</reasoning>\nFinal Answer: 878"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 80% of 251?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 251 = (80/100) × 251 = 200.8.\n</reasoning>\nFinal Answer: 200.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 584 mod 947"
},
{
"role": "assistant",
"content": "<reasoning>\n584 mod 947: 584 = 947 × 0 + 584, so remainder = 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 403."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 403 by smallest primes repeatedly: 403 = 13 × 31.\n</reasoning>\nFinal Answer: 13 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "An item costs ₹4846. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4846 × 28/100 = 1356.88. Total = 4846 + 1356.88 = 6202.88.\n</reasoning>\nFinal Answer: 6202.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 35% of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 488 = (35/100) × 488 = 170.8.\n</reasoning>\nFinal Answer: 170.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 44) * (36 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+44)=89, (36-19)=17, then 89×17=1513.\n</reasoning>\nFinal Answer: 1513"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 27 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+27) × 1 = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 11, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (36-1)×11 = 37 + 385 = 422.\n</reasoning>\nFinal Answer: 422"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×49)/1 = 2107.\n</reasoning>\nFinal Answer: 2107"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:22 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/22, so B = A × (22/33) = 21 × 22/33 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "28 is what percentage of 114?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/114) × 100 = 24.5614%.\n</reasoning>\nFinal Answer: 24.5614%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 41 * 41 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×41=1681, then 27+1681-28=1680.\n</reasoning>\nFinal Answer: 1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 * 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/20) × (8/1) = (40/20) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 67, 12, 65, 18, 33, 9, 93, 24, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 12, 18, 24, 33, 65, 67, 82, 85, 93]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 618 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 618 × (1 + 35/100) = 618 × 1.35 = 834.3.\n</reasoning>\nFinal Answer: 834.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -292 mod 993"
},
{
"role": "assistant",
"content": "<reasoning>\n-292 mod 993: -292 = 993 × -1 + 701, so remainder = 701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 437 ÷ 462"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 437 by 462. 437 ÷ 462 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
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