messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 1, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (32-1)×1 = 42 + 31 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 91 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 91 × 10 = 910.\n</reasoning>\nFinal Answer: 910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -84 + 13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -84 and 13: -84 + 13 = -71.\n</reasoning>\nFinal Answer: -71"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 51, 77, 65, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 51: 1, 77: 1, 65: 1, 40: 1}. Most frequent: [84, 51, 77, 65, 40].\n</reasoning>\nFinal Answer: [84, 51, 77, 65, 40]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 * 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/15) × (11/12) = (220/180) = 11/9 after simplification.\n</reasoning>\nFinal Answer: 11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -10 = 354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 26x = 364. Divide by 26: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 913 ÷ -20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 913 by -20. 913 ÷ -20 = -46 (integer division).\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 117 km apart. Their speeds are 53 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+69=122 km/h. Time = 117/122 = 0.959 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -13 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 11x = -253. Divide by 11: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (39)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 39² - 4×3×90 = 441. √discriminant = 21. x = (-(39) ± 21) / (2×3). Solutions: x = -10 or x = -3.\n</reasoning>\nFinal Answer: x = -10 or x = -3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 86 = 6966.\n</reasoning>\nFinal Answer: 6966"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 77 = 1270.5.\n</reasoning>\nFinal Answer: 1270.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 / 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/17) ÷ (13/16) = (14/17) × (16/13) = 224/221.\n</reasoning>\nFinal Answer: 224/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:47 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/47, so B = A × (47/18) = 2 × 47/18 = 5.2222.\n</reasoning>\nFinal Answer: 5.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 * 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/10) × (4/17) = (12/170) = 6/85 after simplification.\n</reasoning>\nFinal Answer: 6/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 9, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (19-1)×9 = 41 + 162 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 652 km apart. Their speeds are 89 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+103=192 km/h. Time = 652/192 = 3.3958 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 49) * (2 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+49)=96, (2-23)=-21, then 96×-21=-2016.\n</reasoning>\nFinal Answer: -2016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 112 km apart. Their speeds are 119 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+120=239 km/h. Time = 112/239 = 0.4686 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 13 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 14+169-34=149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:50 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/50, so B = A × (50/1) = 52 × 50/1 = 2600.0.\n</reasoning>\nFinal Answer: 2600.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8, 9, 12] and B = [1, 6, 7, 9, 10, 15, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 8, 12].\n</reasoning>\nFinal Answer: [5, 8, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 265 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 265 × (1 - 40/100) = 265 × 0.6 = 159.0.\n</reasoning>\nFinal Answer: 159.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 18, 36, 7, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 18: 1, 36: 1, 7: 1, 45: 1}. Most frequent: [19, 18, 36, 7, 45].\n</reasoning>\nFinal Answer: [19, 18, 36, 7, 45]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 45, 24, 47, 24, 82, 64, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 9 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 95 apples and buys 75 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 95 + 75 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 2) * (34 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+2)=13, (34-24)=10, then 13×10=130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 8 = -584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 16x = -592. Divide by 16: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 398 - -244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -244 from 398: 398 - -244 = 642.\n</reasoning>\nFinal Answer: 642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 5 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 45/60 = 5.7500 hours. Distance = speed × time = 150 × 5.7500 = 862.5 km.\n</reasoning>\nFinal Answer: 862.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×48)/3 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -762 ÷ 642"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -762 by 642. -762 ÷ 642 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 44 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+44) × 11 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 641 km apart. Their speeds are 92 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+93=185 km/h. Time = 641/185 = 3.4649 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -40 = 708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 17x = 748. Divide by 17: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×41)/1 = 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -28 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 6x = 156. Divide by 6: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -293 mod -220"
},
{
"role": "assistant",
"content": "<reasoning>\n-293 mod -220: -293 = -220 × 1 + -73, so remainder = -73.\n</reasoning>\nFinal Answer: -73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -547 - 677"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 677 from -547: -547 - 677 = -1224.\n</reasoning>\nFinal Answer: -1224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 44 * 41 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×41=1804, then 28+1804-26=1806.\n</reasoning>\nFinal Answer: 1806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 43 + 34 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×43=1677 and 34×10=340, then add: 2017.\n</reasoning>\nFinal Answer: 2017"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 91, 16, 83, 81, 50, 48, 70, 40, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 91: 1, 16: 1, 83: 1, 81: 1, 50: 1, 48: 1, 70: 1, 40: 1, 86: 1}. Most frequent: [30, 91, 16, 83, 81, 50, 48, 70, 40, 86].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 35 = 403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 23x = 368. Divide by 23: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 669 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 669 × (1 - 10/100) = 669 × 0.9 = 602.1.\n</reasoning>\nFinal Answer: 602.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -41 = -905"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 18x = -864. Divide by 18: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (13/9) = (169/36) = 169/36 after simplification.\n</reasoning>\nFinal Answer: 169/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -17 = -102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 17x = -85. Divide by 17: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 18) * (6 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+18)=36, (6-13)=-7, then 36×-7=-252.\n</reasoning>\nFinal Answer: -252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 944 - -491"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -491 from 944: 944 - -491 = 1435.\n</reasoning>\nFinal Answer: 1435"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 327 mod 803"
},
{
"role": "assistant",
"content": "<reasoning>\n327 mod 803: 327 = 803 × 0 + 327, so remainder = 327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 29, 6, 99, 56, 66, 64, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 11, 29, 49, 56, 64, 66, 99]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 369 - 638"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 638 from 369: 369 - 638 = -269.\n</reasoning>\nFinal Answer: -269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 67, 13, 50, 87, 20, 91, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 13 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 50) * (35 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+50)=61, (35-27)=8, then 61×8=488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 203 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 203 × (1 + 7/100) = 203 × 1.07 = 217.21.\n</reasoning>\nFinal Answer: 217.21"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 18 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 18 = 54 worker-days. New time = 54 / 15 = 3.6 days.\n</reasoning>\nFinal Answer: 3.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -292 mod -336"
},
{
"role": "assistant",
"content": "<reasoning>\n-292 mod -336: -292 = -336 × 0 + -292, so remainder = -292.\n</reasoning>\nFinal Answer: -292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+100) = 2×193 = 386.\n</reasoning>\nFinal Answer: 386"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 27 + 7 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×27=945 and 7×19=133, then add: 1078.\n</reasoning>\nFinal Answer: 1078"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 294 - 439"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 439 from 294: 294 - 439 = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -710 × -843"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -710 by -843: -710 × -843 = 598530.\n</reasoning>\nFinal Answer: 598530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:16 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/16, so B = A × (16/10) = 7 × 16/10 = 11.2.\n</reasoning>\nFinal Answer: 11.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 36 = 468.\n</reasoning>\nFinal Answer: 468"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -43 = 907"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 19x = 950. Divide by 19: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 28, 84, 1, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 1 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 38, 96, 94, 36, 24, 1, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/8 = 46.875.\n</reasoning>\nFinal Answer: 46.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 289 - 995"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 995 from 289: 289 - 995 = -706.\n</reasoning>\nFinal Answer: -706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 54 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 37, 56, 75, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 19. Next term = 94 + 19 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 9, 10, 12, 13, 18] and B = [2, 4, 7, 8, 9, 10, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 7, 8, 9, 10, 12, 13, 15, 18].\n</reasoning>\nFinal Answer: [2, 4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 424 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 424 × (1 + 90/100) = 424 × 1.9 = 805.6.\n</reasoning>\nFinal Answer: 805.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 585 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 585 × (1 + 60/100) = 585 × 1.6 = 936.0.\n</reasoning>\nFinal Answer: 936.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 / 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/2) ÷ (9/15) = (18/2) × (15/9) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 748 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 748 × (1 - 35/100) = 748 × 0.65 = 486.2.\n</reasoning>\nFinal Answer: 486.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -35 = 637"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 21x = 672. Divide by 21: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:30 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/30, so B = A × (30/45) = 59 × 30/45 = 39.3333.\n</reasoning>\nFinal Answer: 39.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 898 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 898 × (1 + 40/100) = 898 × 1.4 = 1257.2.\n</reasoning>\nFinal Answer: 1257.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 77?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 77 = (80/100) × 77 = 61.6.\n</reasoning>\nFinal Answer: 61.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 18, 98, 37, 1, 86, 67, 18, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 432/9 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 8/8 * 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/8) × (4/3) = (32/24) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 867 + -284"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 867 and -284: 867 + -284 = 583.\n</reasoning>\nFinal Answer: 583"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 97, 91, 86, 28, 45, 63, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 481/8 = 60.125.\n</reasoning>\nFinal Answer: 60.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 694 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 694 × (1 + 12/100) = 694 × 1.12 = 777.28.\n</reasoning>\nFinal Answer: 777.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 988 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 988 × (1 + 45/100) = 988 × 1.45 = 1432.6.\n</reasoning>\nFinal Answer: 1432.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 - 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/15 - 13/7. LCD = 35. Result = -58/35.\n</reasoning>\nFinal Answer: -58/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 3 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 52/60 = 3.8667 hours. Distance = speed × time = 200 × 3.8667 = 773.3333 km.\n</reasoning>\nFinal Answer: 773.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 9) * (32 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+9)=13, (32-23)=9, then 13×9=117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -35 + 201"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -35 and 201: -35 + 201 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = 838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = 810. Divide by 30: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 423 mod -920"
},
{
"role": "assistant",
"content": "<reasoning>\n423 mod -920: 423 = -920 × -1 + -497, so remainder = -497.\n</reasoning>\nFinal Answer: -497"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×25)/1 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 - 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/5 - 18/14. LCD = 35. Result = 81/35.\n</reasoning>\nFinal Answer: 81/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 34, 80, 52, 79, 68, 39, 40, 47, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 595/10 = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 10, 17] and B = [6, 8, 9, 13, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 6, 8, 9, 10, 13, 17, 19].\n</reasoning>\nFinal Answer: [4, 6, 8, 9, 10, 13, 17, 19... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 11/7. LCD = 35. Result = 22/35.\n</reasoning>\nFinal Answer: 22/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "83 is what percentage of 235?"
},
{
"role": "assistant",
"content": "<reasoning>\n(83/235) × 100 = 35.3191%.\n</reasoning>\nFinal Answer: 35.3191%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 496 km apart. Their speeds are 69 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+98=167 km/h. Time = 496/167 = 2.9701 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 - 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/7 - 7/3. LCD = 3. Result = -4/3.\n</reasoning>\nFinal Answer: -4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 32 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+32) × 2 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 79 mod 541"
},
{
"role": "assistant",
"content": "<reasoning>\n79 mod 541: 79 = 541 × 0 + 79, so remainder = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"arithmetic",
"computation"
] |
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