messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 11/14 - 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/14 - 12/8. LCD = 14. Result = -5/7.\n</reasoning>\nFinal Answer: -5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 23, 34, 45, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 11. Next term = 56 + 11 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 89 = 8633.\n</reasoning>\nFinal Answer: 8633"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×32)/32 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 10, 13, 15, 16, 17] and B = [7, 10, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 7, 10, 12, 13, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 6, 7, 10, 12, 13, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 317 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 317 × (1 - 25/100) = 317 × 0.75 = 237.75.\n</reasoning>\nFinal Answer: 237.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 26 = 38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 1x = 12. Divide by 1: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 578 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 578 × (1 - 7/100) = 578 × 0.9299999999999999 = 537.54.\n</reasoning>\nFinal Answer: 537.54"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12484 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12484 × 8 × 3 / 100 = 2996.16.\n</reasoning>\nFinal Answer: 2996.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 28 * 27 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×27=756, then 14+756-45=725.\n</reasoning>\nFinal Answer: 725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 6 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 797 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 797 × (1 + 75/100) = 797 × 1.75 = 1394.75.\n</reasoning>\nFinal Answer: 1394.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 4, 41, 54, 16, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 55 - 4 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 25 = 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 7x = -7. Divide by 7: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 9 * 33 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×33=297, then 18+297-49=266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 630 × -717"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 630 by -717: 630 × -717 = -451710.\n</reasoning>\nFinal Answer: -451710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 22, 77, 37, 22, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 22 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 58 = 2320.\n</reasoning>\nFinal Answer: 2320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 13, 18] and B = [3, 7, 9, 10, 12, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 13].\n</reasoning>\nFinal Answer: [11, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -695 + -590"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -695 and -590: -695 + -590 = -1285.\n</reasoning>\nFinal Answer: -1285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 75 = 4425.\n</reasoning>\nFinal Answer: 4425"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×20)/1 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 * 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/19) × (8/14) = (88/266) = 44/133 after simplification.\n</reasoning>\nFinal Answer: 44/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 333 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 333 × (1 + 75/100) = 333 × 1.75 = 582.75.\n</reasoning>\nFinal Answer: 582.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 50 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 16x = 80. Divide by 16: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 17% of 756?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 756 = (17/100) × 756 = 128.52.\n</reasoning>\nFinal Answer: 128.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (30)x + (63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×3×63 = 144. √discriminant = 12. x = (-(30) ± 12) / (2×3). Solutions: x = -7 or x = -3.\n</reasoning>\nFinal Answer: x = -7 or x = -3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:44 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/44, so B = A × (44/26) = 2 × 44/26 = 3.3846.\n</reasoning>\nFinal Answer: 3.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 / 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/17) ÷ (1/17) = (7/17) × (17/1) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 907 - 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 640 from 907: 907 - 640 = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 87, 56, 48, 86, 84, 63, 25, 41, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 87: 1, 56: 2, 48: 1, 86: 1, 84: 1, 63: 1, 25: 1, 41: 1}. Most frequent: 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 3 + 32 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×3=87 and 32×6=192, then add: 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -42 = 442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 6 = 1014"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 21x = 1008. Divide by 21: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -161 mod -125"
},
{
"role": "assistant",
"content": "<reasoning>\n-161 mod -125: -161 = -125 × 1 + -36, so remainder = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 30 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 30 = 90 worker-days. New time = 90 / 6 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "39 is what percentage of 266?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/266) × 100 = 14.6617%.\n</reasoning>\nFinal Answer: 14.6617%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 444 × -102"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 444 by -102: 444 × -102 = -45288.\n</reasoning>\nFinal Answer: -45288"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 2/2. Common denominator = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 250 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 250 × (1 - 7/100) = 250 × 0.9299999999999999 = 232.5.\n</reasoning>\nFinal Answer: 232.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:6 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/6, so B = A × (6/40) = 18 × 6/40 = 2.7.\n</reasoning>\nFinal Answer: 2.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 467 km apart. Their speeds are 101 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+100=201 km/h. Time = 467/201 = 2.3234 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 71, 83, 98, 40, 22, 50, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 71: 1, 83: 1, 98: 1, 40: 1, 22: 1, 50: 1, 43: 1}. Most frequent: [34, 71, 83, 98, 40, 22, 50, 43].\n</reasoning>\nFinal Answer: [34, 71,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 - 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/3 - 9/2. LCD = 2. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -42 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 19x = -38. Divide by 19: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 43, 72, 53, 26, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 340/6 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 136 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 136 × (1 + 70/100) = 136 × 1.7 = 231.2.\n</reasoning>\nFinal Answer: 231.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (12)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×1×20 = 64. √discriminant = 8. x = (-(12) ± 8) / (2×1). Solutions: x = -10 or x = -2.\n</reasoning>\nFinal Answer: x = -10 or x = -2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -547 × -838"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -547 by -838: -547 × -838 = 458386.\n</reasoning>\nFinal Answer: 458386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 75, 37, 28, 27, 75, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 340/7 = 48.5714.\n</reasoning>\nFinal Answer: 48.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is the probability of drawing a ace from a standard deck of 52 cards?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 4 aces in 52 cards. P = 4/52 = 1/13 ≈ 0.0769.\n</reasoning>\nFinal Answer: 4/52 = 1/13 ≈ 0.0769"
}
] | easy | [
"probability",
"cards"
] |
[
{
"role": "user",
"content": "Calculate: -343 × 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -343 by 40: -343 × 40 = -13720.\n</reasoning>\nFinal Answer: -13720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 663 mod 760"
},
{
"role": "assistant",
"content": "<reasoning>\n663 mod 760: 663 = 760 × 0 + 663, so remainder = 663.\n</reasoning>\nFinal Answer: 663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 31 + 34 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×31=310 and 34×34=1156, then add: 1466.\n</reasoning>\nFinal Answer: 1466"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 787 mod -990"
},
{
"role": "assistant",
"content": "<reasoning>\n787 mod -990: 787 = -990 × -1 + -203, so remainder = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 2 * 25 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×25=50, then 29+50-34=45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 396 km apart. Their speeds are 71 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+64=135 km/h. Time = 396/135 = 2.9333 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 108 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×39)/1 = 1599.\n</reasoning>\nFinal Answer: 1599"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 10 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+10) × 42 = 1155.0.\n</reasoning>\nFinal Answer: 1155.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -203 - 658"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 658 from -203: -203 - 658 = -861.\n</reasoning>\nFinal Answer: -861"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "327 is what percentage of 438?"
},
{
"role": "assistant",
"content": "<reasoning>\n(327/438) × 100 = 74.6575%.\n</reasoning>\nFinal Answer: 74.6575%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 38, 59, 37, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 38: 1, 59: 1, 37: 1, 85: 1}. Most frequent: [89, 38, 59, 37, 85].\n</reasoning>\nFinal Answer: [89, 38, 59, 37, 85]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 11, 67, 55, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 55, 65, 67, 88]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 55 = 1760.\n</reasoning>\nFinal Answer: 1760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -990 × 509"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -990 by 509: -990 × 509 = -503910.\n</reasoning>\nFinal Answer: -503910"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -9 = -560"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 29x = -551. Divide by 29: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 75 mod 485"
},
{
"role": "assistant",
"content": "<reasoning>\n75 mod 485: 75 = 485 × 0 + 75, so remainder = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:27 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/27, so B = A × (27/14) = 13 × 27/14 = 25.0714.\n</reasoning>\nFinal Answer: 25.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -336 ÷ -664"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -336 by -664. -336 ÷ -664 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -49 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 9x = -9. Divide by 9: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 5 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 5 × 42 = 105.0.\n</reasoning>\nFinal Answer: 105.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -447 ÷ 592"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -447 by 592. -447 ÷ 592 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 967 km apart. Their speeds are 120 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+50=170 km/h. Time = 967/170 = 5.6882 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -44 = -451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,100) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 48 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 45 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 1+2025-9=2017.\n</reasoning>\nFinal Answer: 2017"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 26 + 26 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×26=1066 and 26×43=1118, then add: 2184.\n</reasoning>\nFinal Answer: 2184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 86 = 3354.\n</reasoning>\nFinal Answer: 3354"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 27, 55, 34, 89, 72, 75, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 27: 1, 55: 1, 34: 1, 89: 1, 72: 1, 75: 1, 18: 1}. Most frequent: [15, 27, 55, 34, 89, 72, 75, 18].\n</reasoning>\nFinal Answer: [15, 27,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 22, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 22 + 27 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 8 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+8) × 24 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹767. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 767 × 5/100 = 38.35. Total = 767 + 38.35 = 805.35.\n</reasoning>\nFinal Answer: 805.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 4 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+4) × 11 = 176.0.\n</reasoning>\nFinal Answer: 176.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 48 + 34 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×48=912 and 34×25=850, then add: 1762.\n</reasoning>\nFinal Answer: 1762"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "677 is what percentage of 916?"
},
{
"role": "assistant",
"content": "<reasoning>\n(677/916) × 100 = 73.9083%.\n</reasoning>\nFinal Answer: 73.9083%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 16, 34, 58, 25, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 16, 25, 34, 58, 64]. Middle value(s) → median = 29.5.\n</reasoning>\nFinal Answer: 29.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 * 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/15) × (13/10) = (13/150) = 13/150 after simplification.\n</reasoning>\nFinal Answer: 13/150"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (40)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 40² - 4×5×60 = 400. √discriminant = 20. x = (-(40) ± 20) / (2×5). Solutions: x = -6 or x = -2.\n</reasoning>\nFinal Answer: x = -6 or x = -2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 7 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 7 = 56 worker-days. New time = 56 / 20 = 2.8 days.\n</reasoning>\nFinal Answer: 2.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 888 ÷ 236"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 888 by 236. 888 ÷ 236 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 28 * 14 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×14=392, then 16+392-39=369.\n</reasoning>\nFinal Answer: 369"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 37, 28, 86, 15, 82, 52, 31, 69, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 6 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 593 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 593 × (1 + 15/100) = 593 × 1.15 = 681.95.\n</reasoning>\nFinal Answer: 681.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 * 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/10) × (17/20) = (34/200) = 17/100 after simplification.\n</reasoning>\nFinal Answer: 17/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 37 = 177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 28x = 140. Divide by 28: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 17 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 40+289-23=306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹573. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 573 × 28/100 = 160.44. Total = 573 + 160.44 = 733.44.\n</reasoning>\nFinal Answer: 733.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -338 mod 11"
},
{
"role": "assistant",
"content": "<reasoning>\n-338 mod 11: -338 = 11 × -31 + 3, so remainder = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
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