messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -348 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from -348: -348 - -626 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 776 - 239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 239 from 776: 776 - 239 = 537.\n</reasoning>\nFinal Answer: 537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 910 km apart. Their speeds are 70 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+94=164 km/h. Time = 910/164 = 5.5488 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 * 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/8) × (12/17) = (180/136) = 45/34 after simplification.\n</reasoning>\nFinal Answer: 45/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 903 km apart. Their speeds are 83 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+100=183 km/h. Time = 903/183 = 4.9344 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -34 = -754"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 15x = -720. Divide by 15: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1136. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1136 × 5/100 = 56.8. Total = 1136 + 56.8 = 1192.8.\n</reasoning>\nFinal Answer: 1192.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 13 = 139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 21x = 126. Divide by 21: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 23 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 23 × 30 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -5 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 28x = -420. Divide by 28: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -30 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 3x = 54. Divide by 3: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 881 × 721"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 881 by 721: 881 × 721 = 635201.\n</reasoning>\nFinal Answer: 635201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 28 + 8 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×28=896 and 8×50=400, then add: 1296.\n</reasoning>\nFinal Answer: 1296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 90, 1, 69, 62, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 90: 1, 1: 1, 69: 1, 62: 1, 67: 1}. Most frequent: [50, 90, 1, 69, 62, 67].\n</reasoning>\nFinal Answer: [50, 90, 1, 69, 62, 67]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 783 ÷ 766"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 783 by 766. 783 ÷ 766 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (12)x + (-135) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×3×-135 = 1764. √discriminant = 42. x = (-(12) ± 42) / (2×3). Solutions: x = -9 or x = 5.\n</reasoning>\nFinal Answer: x = -9 or x = 5"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -131 × -185"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -131 by -185: -131 × -185 = 24235.\n</reasoning>\nFinal Answer: 24235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 88 - -233"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -233 from 88: 88 - -233 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 29 mod -478"
},
{
"role": "assistant",
"content": "<reasoning>\n29 mod -478: 29 = -478 × -1 + -449, so remainder = -449.\n</reasoning>\nFinal Answer: -449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 529 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 529 × (1 + 5/100) = 529 × 1.05 = 555.45.\n</reasoning>\nFinal Answer: 555.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 32) * (27 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+32)=73, (27-35)=-8, then 73×-8=-584.\n</reasoning>\nFinal Answer: -584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -25 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 13x = 91. Divide by 13: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 95 = 7030.\n</reasoning>\nFinal Answer: 7030"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 27 = 1755.\n</reasoning>\nFinal Answer: 1755"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 69 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -336 × 284"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -336 by 284: -336 × 284 = -95424.\n</reasoning>\nFinal Answer: -95424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 20, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 20 + 28 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 760 × 108"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 760 by 108: 760 × 108 = 82080.\n</reasoning>\nFinal Answer: 82080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -90 - 950"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 950 from -90: -90 - 950 = -1040.\n</reasoning>\nFinal Answer: -1040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:7 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/7, so B = A × (7/12) = 100 × 7/12 = 58.3333.\n</reasoning>\nFinal Answer: 58.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 16, 18] and B = [4, 8, 9, 10, 11, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 16].\n</reasoning>\nFinal Answer: [7, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 20 * 49 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×49=980, then 26+980-47=959.\n</reasoning>\nFinal Answer: 959"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 414 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 414 × (1 - 17/100) = 414 × 0.83 = 343.62.\n</reasoning>\nFinal Answer: 343.62"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 1 = -1217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 29x = -1218. Divide by 29: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 * 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/16) × (9/13) = (63/208) = 63/208 after simplification.\n</reasoning>\nFinal Answer: 63/208"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 20 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 1x = 29. Divide by 1: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 42, 35, 42, 70, 95, 6, 33, 59, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 493/10 = 49.3.\n</reasoning>\nFinal Answer: 49.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 / 20/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/16) ÷ (20/12) = (13/16) × (12/20) = 39/80.\n</reasoning>\nFinal Answer: 39/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (9/3) = (5/19) × (3/9) = 5/57.\n</reasoning>\nFinal Answer: 5/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 45% of 197?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 197 = (45/100) × 197 = 88.65.\n</reasoning>\nFinal Answer: 88.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 / 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/4) ÷ (13/3) = (2/4) × (3/13) = 3/26.\n</reasoning>\nFinal Answer: 3/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -436 - -808"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -808 from -436: -436 - -808 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -26 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 29x = -290. Divide by 29: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 12, 48, 192, 768]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 3 and ratio 4. Next term = 768 × 4 = 3072.\n</reasoning>\nFinal Answer: 3072"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -6 = 345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 13x = 351. Divide by 13: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 166."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,166) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 * 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/3) × (14/19) = (168/57) = 56/19 after simplification.\n</reasoning>\nFinal Answer: 56/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 89, 42, 36, 30, 61, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 30 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 55 = 5335.\n</reasoning>\nFinal Answer: 5335"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 / 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/7) ÷ (13/13) = (14/7) × (13/13) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -293 ÷ 292"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -293 by 292. -293 ÷ 292 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -813 mod 72"
},
{
"role": "assistant",
"content": "<reasoning>\n-813 mod 72: -813 = 72 × -12 + 51, so remainder = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 405 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 405 × (1 - 45/100) = 405 × 0.55 = 222.75.\n</reasoning>\nFinal Answer: 222.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 494 × 130"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 494 by 130: 494 × 130 = 64220.\n</reasoning>\nFinal Answer: 64220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 970 - 453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 453 from 970: 970 - 453 = 517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 328?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 328 = (90/100) × 328 = 295.2.\n</reasoning>\nFinal Answer: 295.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 21 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 21 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 17 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 17 = 119 worker-days. New time = 119 / 8 = 14.875 days.\n</reasoning>\nFinal Answer: 14.875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 592 + 389"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 592 and 389: 592 + 389 = 981.\n</reasoning>\nFinal Answer: 981"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 42 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+42) × 21 = 483.0.\n</reasoning>\nFinal Answer: 483.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1297. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1297 × 12/100 = 155.64. Total = 1297 + 155.64 = 1452.64.\n</reasoning>\nFinal Answer: 1452.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 20 = 520.0.\n</reasoning>\nFinal Answer: 520.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 + 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/20 + 18/19. Common denominator = 380. Result = 417/380.\n</reasoning>\nFinal Answer: 417/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 8 = 776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 16x = 768. Divide by 16: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 12, 13, 15] and B = [7, 10, 12, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 12].\n</reasoning>\nFinal Answer: [7, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/2 + 2/2. Common denominator = 1. Result = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -326 ÷ 467"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -326 by 467. -326 ÷ 467 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [44, 23, 93, 26, 78, 11, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 289/7 = 41.2857.\n</reasoning>\nFinal Answer: 41.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 43 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:14 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/14, so B = A × (14/20) = 93 × 14/20 = 65.1.\n</reasoning>\nFinal Answer: 65.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 1/6. Common denominator = 6. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:48 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/48, so B = A × (48/31) = 72 × 48/31 = 111.4839.\n</reasoning>\nFinal Answer: 111.4839"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 - 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/14 - 1/13. LCD = 182. Result = 181/182.\n</reasoning>\nFinal Answer: 181/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:20 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/20, so B = A × (20/14) = 48 × 20/14 = 68.5714.\n</reasoning>\nFinal Answer: 68.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:44 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/44, so B = A × (44/36) = 52 × 44/36 = 63.5556.\n</reasoning>\nFinal Answer: 63.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1788. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1788 × 28/100 = 500.64. Total = 1788 + 500.64 = 2288.64.\n</reasoning>\nFinal Answer: 2288.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 974 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 974 × (1 - 25/100) = 974 × 0.75 = 730.5.\n</reasoning>\nFinal Answer: 730.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -35 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (2)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 2² - 4×2×-40 = 324. √discriminant = 18. x = (-(2) ± 18) / (2×2). Solutions: x = 4 or x = -5.\n</reasoning>\nFinal Answer: x = 4 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (6)x + (-27) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×1×-27 = 144. √discriminant = 12. x = (-(6) ± 12) / (2×1). Solutions: x = -9 or x = 3.\n</reasoning>\nFinal Answer: x = -9 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 + 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/17 + 18/16. Common denominator = 136. Result = 185/136.\n</reasoning>\nFinal Answer: 185/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 89 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 34 * 41 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×41=1394, then 42+1394-6=1430.\n</reasoning>\nFinal Answer: 1430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 63, 34, 24, 35, 54, 80, 73, 6, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 63: 1, 34: 1, 24: 1, 35: 1, 54: 1, 80: 1, 73: 1, 6: 1, 92: 1}. Most frequent: [32, 63, 34, 24, 35, 54, 80, 73, 6, 92].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 50 + 14 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×50=2450 and 14×39=546, then add: 2996.\n</reasoning>\nFinal Answer: 2996"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 37 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:29 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/29, so B = A × (29/17) = 10 × 29/17 = 17.0588.\n</reasoning>\nFinal Answer: 17.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 423 km apart. Their speeds are 120 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+105=225 km/h. Time = 423/225 = 1.88 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 75 = 6225.\n</reasoning>\nFinal Answer: 6225"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 115 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 115 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 74 = 3182.0.\n</reasoning>\nFinal Answer: 3182.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 10, 12, 13, 16] and B = [4, 6, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 2 apples and buys 50 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 2 + 50 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 53, 7, 46, 39, 54, 64, 18, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 53: 1, 7: 1, 46: 1, 39: 1, 54: 1, 64: 1, 18: 1, 86: 1}. Most frequent: [24, 53, 7, 46, 39, 54, 64, 18, 86].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 687 km apart. Their speeds are 86 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+73=159 km/h. Time = 687/159 = 4.3208 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:14 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/14, so B = A × (14/49) = 26 × 14/49 = 7.4286.\n</reasoning>\nFinal Answer: 7.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "63 is what percentage of 387?"
},
{
"role": "assistant",
"content": "<reasoning>\n(63/387) × 100 = 16.2791%.\n</reasoning>\nFinal Answer: 16.2791%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "633 is what percentage of 691?"
},
{
"role": "assistant",
"content": "<reasoning>\n(633/691) × 100 = 91.6064%.\n</reasoning>\nFinal Answer: 91.6064%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -314 + 559"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -314 and 559: -314 + 559 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 586 mod 398"
},
{
"role": "assistant",
"content": "<reasoning>\n586 mod 398: 586 = 398 × 1 + 188, so remainder = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"arithmetic",
"computation"
] |
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