messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 8/8 / 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/8) ÷ (19/14) = (8/8) × (14/19) = 14/19.\n</reasoning>\nFinal Answer: 14/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 64, 83, 41, 30, 73, 13, 32, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 30, 32, 41, 64, 73, 83, 83, 92]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [77, 39, 13, 35, 87, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {77: 1, 39: 1, 13: 1, 35: 1, 87: 1, 52: 1}. Most frequent: [77, 39, 13, 35, 87, 52].\n</reasoning>\nFinal Answer: [77, 39, 13, 35, 87, 52]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 12, 29, 5, 57, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -38 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 8x = 32. Divide by 8: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 4 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+4) × 41 = 225.5.\n</reasoning>\nFinal Answer: 225.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 87 = 1827.\n</reasoning>\nFinal Answer: 1827"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 - 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/13 - 20/18. LCD = 9. Result = -1/9.\n</reasoning>\nFinal Answer: -1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 22 + 49 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×22=990 and 49×28=1372, then add: 2362.\n</reasoning>\nFinal Answer: 2362"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "74 is what percentage of 728?"
},
{
"role": "assistant",
"content": "<reasoning>\n(74/728) × 100 = 10.1648%.\n</reasoning>\nFinal Answer: 10.1648%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "50 is what percentage of 186?"
},
{
"role": "assistant",
"content": "<reasoning>\n(50/186) × 100 = 26.8817%.\n</reasoning>\nFinal Answer: 26.8817%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 16, 10, 1, 94, 18, 43, 21, 100, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 2, 16: 1, 10: 1, 1: 1, 94: 1, 18: 1, 43: 1, 100: 1, 57: 1}. Most frequent: 21.\n</reasoning>\nFinal Answer: 21"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -623 + -779"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -623 and -779: -623 + -779 = -1402.\n</reasoning>\nFinal Answer: -1402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 98, 55, 51, 53, 12, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 98: 1, 55: 1, 51: 1, 53: 1, 12: 1, 2: 1}. Most frequent: [88, 98, 55, 51, 53, 12, 2].\n</reasoning>\nFinal Answer: [88, 98, 55, 51, 53, 12, 2... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "313 is what percentage of 345?"
},
{
"role": "assistant",
"content": "<reasoning>\n(313/345) × 100 = 90.7246%.\n</reasoning>\nFinal Answer: 90.7246%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 23 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 32+529-3=558.\n</reasoning>\nFinal Answer: 558"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -8 = -568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 16x = -560. Divide by 16: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 66 × 467"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 66 by 467: 66 × 467 = 30822.\n</reasoning>\nFinal Answer: 30822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 22, 79, 27, 3, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 22, 27, 33, 46, 79]. Middle value(s) → median = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 + 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/8 + 5/15. Common denominator = 12. Result = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 56 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 718 + -197"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 718 and -197: 718 + -197 = 521.\n</reasoning>\nFinal Answer: 521"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 30, 33, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 30 + 33 + 38 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 25 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 16+625-45=596.\n</reasoning>\nFinal Answer: 596"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 21 + 12 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×21=294 and 12×37=444, then add: 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 - 4/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/16 - 4/9. LCD = 144. Result = 71/144.\n</reasoning>\nFinal Answer: 71/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 71 km/h. How far does it travel in 3 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 10/60 = 3.1667 hours. Distance = speed × time = 71 × 3.1667 = 224.8333 km.\n</reasoning>\nFinal Answer: 224.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/20 - 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/20 - 3/20. LCD = 20. Result = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 229 × -22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 229 by -22: 229 × -22 = -5038.\n</reasoning>\nFinal Answer: -5038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -143 ÷ 560"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -143 by 560. -143 ÷ 560 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 20% of 53?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 53 = (20/100) × 53 = 10.6.\n</reasoning>\nFinal Answer: 10.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 8, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (20-1)×8 = 27 + 152 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:27 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/27, so B = A × (27/4) = 83 × 27/4 = 560.25.\n</reasoning>\nFinal Answer: 560.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 916 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 916 × (1 - 80/100) = 916 × 0.19999999999999996 = 183.2.\n</reasoning>\nFinal Answer: 183.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25497 at 15% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25497 × 15 × 2 / 100 = 7649.1.\n</reasoning>\nFinal Answer: 7649.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -716 ÷ 386"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -716 by 386. -716 ÷ 386 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 42, 32, 33, 21, 20, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 171/7 = 24.4286.\n</reasoning>\nFinal Answer: 24.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 81 × 162"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 81 by 162: 81 × 162 = 13122.\n</reasoning>\nFinal Answer: 13122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:2 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/2, so B = A × (2/9) = 62 × 2/9 = 13.7778.\n</reasoning>\nFinal Answer: 13.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "103 is what percentage of 127?"
},
{
"role": "assistant",
"content": "<reasoning>\n(103/127) × 100 = 81.1024%.\n</reasoning>\nFinal Answer: 81.1024%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 10 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 18+100-30=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:44 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/44, so B = A × (44/37) = 73 × 44/37 = 86.8108.\n</reasoning>\nFinal Answer: 86.8108"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 3 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 24/60 = 3.4000 hours. Distance = speed × time = 130 × 3.4000 = 442.0 km.\n</reasoning>\nFinal Answer: 442.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-8)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×2×0 = 64. √discriminant = 8. x = (-(-8) ± 8) / (2×2). Solutions: x = 4 or x = 0.\n</reasoning>\nFinal Answer: x = 4 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+50) = 2×76 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -516 - -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from -516: -516 - -14 = -502.\n</reasoning>\nFinal Answer: -502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 343 - 65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 65 from 343: 343 - 65 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 2 = 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 6x = 288. Divide by 6: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 64, 49, 31, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 64: 1, 49: 1, 31: 1, 15: 1}. Most frequent: [20, 64, 49, 31, 15].\n</reasoning>\nFinal Answer: [20, 64, 49, 31, 15]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/15) ÷ (10/11) = (20/15) × (11/10) = 22/15.\n</reasoning>\nFinal Answer: 22/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -545 mod -121"
},
{
"role": "assistant",
"content": "<reasoning>\n-545 mod -121: -545 = -121 × 4 + -61, so remainder = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×9)/3 = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -627 - 779"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 779 from -627: -627 - 779 = -1406.\n</reasoning>\nFinal Answer: -1406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 88, 29, 73, 67, 4, 85, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 21, 29, 45, 67, 73, 85, 88]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 86 = 4902.\n</reasoning>\nFinal Answer: 4902"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 25 + 46 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×25=325 and 46×8=368, then add: 693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 46 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 46 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:31 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/31, so B = A × (31/7) = 51 × 31/7 = 225.8571.\n</reasoning>\nFinal Answer: 225.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 30 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+30) × 28 = 532.0.\n</reasoning>\nFinal Answer: 532.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:1 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/1, so B = A × (1/41) = 6 × 1/41 = 0.1463.\n</reasoning>\nFinal Answer: 0.1463"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -64 ÷ -31"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -64 by -31. -64 ÷ -31 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:29 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/29, so B = A × (29/46) = 36 × 29/46 = 22.6957.\n</reasoning>\nFinal Answer: 22.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:23 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/23, so B = A × (23/10) = 60 × 23/10 = 138.0.\n</reasoning>\nFinal Answer: 138.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 7 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 52/60 = 7.8667 hours. Distance = speed × time = 167 × 7.8667 = 1313.7333 km.\n</reasoning>\nFinal Answer: 1313.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 16, 14, 80, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 16: 1, 14: 1, 80: 1, 43: 1}. Most frequent: [19, 16, 14, 80, 43].\n</reasoning>\nFinal Answer: [19, 16, 14, 80, 43]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 3 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 22/60 = 3.3667 hours. Distance = speed × time = 113 × 3.3667 = 380.4333 km.\n</reasoning>\nFinal Answer: 380.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "381 is what percentage of 963?"
},
{
"role": "assistant",
"content": "<reasoning>\n(381/963) × 100 = 39.5639%.\n</reasoning>\nFinal Answer: 39.5639%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 849 - -56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -56 from 849: 849 - -56 = 905.\n</reasoning>\nFinal Answer: 905"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:38 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/38, so B = A × (38/22) = 31 × 38/22 = 53.5455.\n</reasoning>\nFinal Answer: 53.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 29 = 349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 16x = 320. Divide by 16: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+60) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 14 = 584"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 19x = 570. Divide by 19: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 332 - -412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -412 from 332: 332 - -412 = 744.\n</reasoning>\nFinal Answer: 744"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 21 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+21) × 15 = 232.5.\n</reasoning>\nFinal Answer: 232.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 20 = -578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 23x = -598. Divide by 23: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 5/12. Common denominator = 204. Result = 109/204.\n</reasoning>\nFinal Answer: 109/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 11, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (16-1)×11 = 42 + 165 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 635 km apart. Their speeds are 79 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+80=159 km/h. Time = 635/159 = 3.9937 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 18, 19] and B = [8, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 18].\n</reasoning>\nFinal Answer: [8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 4) * (41 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+4)=7, (41-1)=40, then 7×40=280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "215 is what percentage of 745?"
},
{
"role": "assistant",
"content": "<reasoning>\n(215/745) × 100 = 28.8591%.\n</reasoning>\nFinal Answer: 28.8591%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 11 = 287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 23x = 276. Divide by 23: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "126 is what percentage of 498?"
},
{
"role": "assistant",
"content": "<reasoning>\n(126/498) × 100 = 25.3012%.\n</reasoning>\nFinal Answer: 25.3012%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (13/12) = (5/15) × (12/13) = 4/13.\n</reasoning>\nFinal Answer: 4/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -17 = 648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 19x = 665. Divide by 19: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 468 - 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 709 from 468: 468 - 709 = -241.\n</reasoning>\nFinal Answer: -241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 896 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 896 × (1 + 15/100) = 896 × 1.15 = 1030.4.\n</reasoning>\nFinal Answer: 1030.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "127 is what percentage of 637?"
},
{
"role": "assistant",
"content": "<reasoning>\n(127/637) × 100 = 19.9372%.\n</reasoning>\nFinal Answer: 19.9372%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 687 - -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -345 from 687: 687 - -345 = 1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 74, 12, 69, 24, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 365/6 = 60.8333.\n</reasoning>\nFinal Answer: 60.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -783 + -639"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -783 and -639: -783 + -639 = -1422.\n</reasoning>\nFinal Answer: -1422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 40 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 13+1600-1=1612.\n</reasoning>\nFinal Answer: 1612"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 544 × 978"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 544 by 978: 544 × 978 = 532032.\n</reasoning>\nFinal Answer: 532032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+74) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 785 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 785 × (1 - 45/100) = 785 × 0.55 = 431.75.\n</reasoning>\nFinal Answer: 431.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -2 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 23x = -92. Divide by 23: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 12 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 12 × 52 = 312.0.\n</reasoning>\nFinal Answer: 312.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 52, 61, 70, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 9. Next term = 79 + 9 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 826 × -647"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 826 by -647: 826 × -647 = -534422.\n</reasoning>\nFinal Answer: -534422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 570 mod 274"
},
{
"role": "assistant",
"content": "<reasoning>\n570 mod 274: 570 = 274 × 2 + 22, so remainder = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.