messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×47)/1 = 1645.\n</reasoning>\nFinal Answer: 1645"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 90, 61, 24, 87, 4, 54, 62, 90, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 24, 43, 54, 57, 61, 62, 87, 90, 90]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 54."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,54) = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:34 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/34, so B = A × (34/35) = 47 × 34/35 = 45.6571.\n</reasoning>\nFinal Answer: 45.6571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "737 is what percentage of 770?"
},
{
"role": "assistant",
"content": "<reasoning>\n(737/770) × 100 = 95.7143%.\n</reasoning>\nFinal Answer: 95.7143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 296 - -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -318 from 296: 296 - -318 = 614.\n</reasoning>\nFinal Answer: 614"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -436 ÷ -851"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -436 by -851. -436 ÷ -851 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -489 × 841"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -489 by 841: -489 × 841 = -411249.\n</reasoning>\nFinal Answer: -411249"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 84."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 84: factors are [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 48 = 377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 7x = 329. Divide by 7: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 54, 40, 13, 48, 55, 99, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 13 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -984 mod 348"
},
{
"role": "assistant",
"content": "<reasoning>\n-984 mod 348: -984 = 348 × -3 + 60, so remainder = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 321 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 321 × (1 - 30/100) = 321 × 0.7 = 224.7.\n</reasoning>\nFinal Answer: 224.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+33) = 2×60 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -490 mod 400"
},
{
"role": "assistant",
"content": "<reasoning>\n-490 mod 400: -490 = 400 × -2 + 310, so remainder = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 17, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (43-1)×17 = 19 + 714 = 733.\n</reasoning>\nFinal Answer: 733"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 887 + -587"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 887 and -587: 887 + -587 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 38) * (18 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+38)=64, (18-37)=-19, then 64×-19=-1216.\n</reasoning>\nFinal Answer: -1216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 10, 19] and B = [1, 3, 8, 10, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 19].\n</reasoning>\nFinal Answer: [9, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 320 mod -492"
},
{
"role": "assistant",
"content": "<reasoning>\n320 mod -492: 320 = -492 × -1 + -172, so remainder = -172.\n</reasoning>\nFinal Answer: -172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 128 km/h. How far does it travel in 1 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 8/60 = 1.1333 hours. Distance = speed × time = 128 × 1.1333 = 145.0667 km.\n</reasoning>\nFinal Answer: 145.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -119 - 591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 591 from -119: -119 - 591 = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 12 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 54/60 = 12.9000 hours. Distance = speed × time = 100 × 12.9000 = 1290.0 km.\n</reasoning>\nFinal Answer: 1290.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:15 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/15, so B = A × (15/36) = 64 × 15/36 = 26.6667.\n</reasoning>\nFinal Answer: 26.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 39 = -329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 8x = -368. Divide by 8: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 12 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+12) × 16 = 216.0.\n</reasoning>\nFinal Answer: 216.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 57 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 57 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 143 + -934"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 143 and -934: 143 + -934 = -791.\n</reasoning>\nFinal Answer: -791"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -24 = 984"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 24x = 1008. Divide by 24: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 55 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 55 × 78 = 4290.\n</reasoning>\nFinal Answer: 4290"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -4 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 7x = 70. Divide by 7: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 97, 48, 11, 9, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 48, 59, 97, 98]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 7, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (44-1)×7 = 27 + 301 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 7, 97, 84, 78, 32, 95, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 21, 28, 32, 78, 84, 95, 97]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 5 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 15/60 = 5.2500 hours. Distance = speed × time = 54 × 5.2500 = 283.5 km.\n</reasoning>\nFinal Answer: 283.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 635 mod 740"
},
{
"role": "assistant",
"content": "<reasoning>\n635 mod 740: 635 = 740 × 0 + 635, so remainder = 635.\n</reasoning>\nFinal Answer: 635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 6 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 13/60 = 6.2167 hours. Distance = speed × time = 121 × 6.2167 = 752.2167 km.\n</reasoning>\nFinal Answer: 752.2167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 27, 40, 55, 53, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 27: 1, 40: 1, 55: 1, 53: 1, 95: 1}. Most frequent: [99, 27, 40, 55, 53, 95].\n</reasoning>\nFinal Answer: [99, 27, 40, 55, 53, 95]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 97, 69, 10, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 48, 50, 69, 97]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -47 = -751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 16x = -704. Divide by 16: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 15, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (16-1)×15 = 49 + 225 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -400 ÷ 61"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -400 by 61. -400 ÷ 61 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 2 = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 18 * 44 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×44=792, then 20+792-6=806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:44 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/44, so B = A × (44/28) = 75 × 44/28 = 117.8571.\n</reasoning>\nFinal Answer: 117.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 51, 6, 62, 48, 14, 42, 34, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 6 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 12 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 47+144-37=154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:8 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/8, so B = A × (8/40) = 33 × 8/40 = 6.6.\n</reasoning>\nFinal Answer: 6.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (10/8) = (17/20) × (8/10) = 17/25.\n</reasoning>\nFinal Answer: 17/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -13 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 1x = -12. Divide by 1: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 96, 69, 23, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 96: 1, 69: 1, 23: 1, 18: 1}. Most frequent: [65, 96, 69, 23, 18].\n</reasoning>\nFinal Answer: [65, 96, 69, 23, 18]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 284 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from 284: 284 - -626 = 910.\n</reasoning>\nFinal Answer: 910"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -432 ÷ 555"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -432 by 555. -432 ÷ 555 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:28 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/28, so B = A × (28/11) = 12 × 28/11 = 30.5455.\n</reasoning>\nFinal Answer: 30.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 60% of 257?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 257 = (60/100) × 257 = 154.2.\n</reasoning>\nFinal Answer: 154.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 5 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 50/60 = 5.8333 hours. Distance = speed × time = 131 × 5.8333 = 764.1667 km.\n</reasoning>\nFinal Answer: 764.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 40, 77, 30, 12, 79, 60, 50, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 28, 30, 40, 42, 50, 60, 77, 79]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -815 mod 509"
},
{
"role": "assistant",
"content": "<reasoning>\n-815 mod 509: -815 = 509 × -2 + 203, so remainder = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 194 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 194 × (1 + 10/100) = 194 × 1.1 = 213.4.\n</reasoning>\nFinal Answer: 213.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 - 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/2 - 8/8. LCD = 2. Result = 17/2.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 + 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/18 + 2/19. Common denominator = 171. Result = 37/171.\n</reasoning>\nFinal Answer: 37/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 23 + 46 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×23=115 and 46×32=1472, then add: 1587.\n</reasoning>\nFinal Answer: 1587"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:49 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/49, so B = A × (49/28) = 31 × 49/28 = 54.25.\n</reasoning>\nFinal Answer: 54.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:33 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/33, so B = A × (33/20) = 59 × 33/20 = 97.35.\n</reasoning>\nFinal Answer: 97.35"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 921 + 530"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 921 and 530: 921 + 530 = 1451.\n</reasoning>\nFinal Answer: 1451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 43 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 3x = 0. Divide by 3: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 19, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 19 + 25 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -36 - 985"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 985 from -36: -36 - 985 = -1021.\n</reasoning>\nFinal Answer: -1021"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -38 = 167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 5x = 205. Divide by 5: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 35 = -525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 20x = -560. Divide by 20: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 43 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 41+1849-1=1889.\n</reasoning>\nFinal Answer: 1889"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -3 = 771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 18x = 774. Divide by 18: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 74 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 14, 7, 61, 2, 48, 62, 73, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 2 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 810 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 810 × (1 - 40/100) = 810 × 0.6 = 486.0.\n</reasoning>\nFinal Answer: 486.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/1 + 1/1. Common denominator = 1. Result = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 1/1. Common denominator = 4. Result = 17/4.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 92 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:10 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/10, so B = A × (10/8) = 71 × 10/8 = 88.75.\n</reasoning>\nFinal Answer: 88.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:34 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/34, so B = A × (34/26) = 88 × 34/26 = 115.0769.\n</reasoning>\nFinal Answer: 115.0769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 90% of 904?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 904 = (90/100) × 904 = 813.6.\n</reasoning>\nFinal Answer: 813.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 / 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/19) ÷ (20/5) = (9/19) × (5/20) = 9/76.\n</reasoning>\nFinal Answer: 9/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 95, 90, 99, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 95: 1, 90: 1, 99: 1, 53: 1}. Most frequent: [35, 95, 90, 99, 53].\n</reasoning>\nFinal Answer: [35, 95, 90, 99, 53]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 542 mod -610"
},
{
"role": "assistant",
"content": "<reasoning>\n542 mod -610: 542 = -610 × -1 + -68, so remainder = -68.\n</reasoning>\nFinal Answer: -68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 47 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+47) × 46 = 2139.0.\n</reasoning>\nFinal Answer: 2139.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 617 mod -105"
},
{
"role": "assistant",
"content": "<reasoning>\n617 mod -105: 617 = -105 × -6 + -13, so remainder = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 2 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+2) × 9 = 85.5.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -26 = 457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 1) * (29 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+1)=7, (29-16)=13, then 7×13=91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 873 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 873 × (1 - 3/100) = 873 × 0.97 = 846.81.\n</reasoning>\nFinal Answer: 846.81"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -638 + 25"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -638 and 25: -638 + 25 = -613.\n</reasoning>\nFinal Answer: -613"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 176 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(176,174) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 41 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(41,95) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -465 × 127"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -465 by 127: -465 × 127 = -59055.\n</reasoning>\nFinal Answer: -59055"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:4 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/4, so B = A × (4/31) = 64 × 4/31 = 8.2581.\n</reasoning>\nFinal Answer: 8.2581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (75)x + (280) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 75² - 4×5×280 = 25. √discriminant = 5. x = (-(75) ± 5) / (2×5). Solutions: x = -8 or x = -7.\n</reasoning>\nFinal Answer: x = -8 or x = -7"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 15] and B = [1, 2, 3, 8, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 8, 15, 17].\n</reasoning>\nFinal Answer: [1, 3, 4, 8, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 / 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/8) ÷ (7/12) = (7/8) × (12/7) = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×30)/1 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹3643. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3643 × 28/100 = 1020.04. Total = 3643 + 1020.04 = 4663.04.\n</reasoning>\nFinal Answer: 4663.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
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