messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 13/13 * 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/13) × (15/6) = (195/78) = 5/2 after simplification.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 5 = 7.5.\n</reasoning>\nFinal Answer: 7.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 41 = 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 29x = 0. Divide by 29: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 9 = 283.5.\n</reasoning>\nFinal Answer: 283.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -442 × -651"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -442 by -651: -442 × -651 = 287742.\n</reasoning>\nFinal Answer: 287742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 8 * 37 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×37=296, then 27+296-38=285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -789 ÷ -569"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -789 by -569. -789 ÷ -569 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 578?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 578 = (65/100) × 578 = 375.7.\n</reasoning>\nFinal Answer: 375.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 * 19/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/5) × (19/11) = (152/55) = 152/55 after simplification.\n</reasoning>\nFinal Answer: 152/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 50 = 900"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 17x = 850. Divide by 17: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:9 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/9, so B = A × (9/22) = 37 × 9/22 = 15.1364.\n</reasoning>\nFinal Answer: 15.1364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 59, 74, 41, 13, 83, 7, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 7, 13, 30, 41, 59, 74, 83]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 37 + 16 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×37=592 and 16×16=256, then add: 848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "216 is what percentage of 389?"
},
{
"role": "assistant",
"content": "<reasoning>\n(216/389) × 100 = 55.527%.\n</reasoning>\nFinal Answer: 55.527%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -855 + 565"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -855 and 565: -855 + 565 = -290.\n</reasoning>\nFinal Answer: -290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:3 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/3, so B = A × (3/39) = 50 × 3/39 = 3.8462.\n</reasoning>\nFinal Answer: 3.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 36 + 32 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×36=1584 and 32×14=448, then add: 2032.\n</reasoning>\nFinal Answer: 2032"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 395 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 395 × (1 + 70/100) = 395 × 1.7 = 671.5.\n</reasoning>\nFinal Answer: 671.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 4 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 10x = 20. Divide by 10: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -580 + 341"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -580 and 341: -580 + 341 = -239.\n</reasoning>\nFinal Answer: -239"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 81 = 5022.\n</reasoning>\nFinal Answer: 5022"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 896 km apart. Their speeds are 56 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+68=124 km/h. Time = 896/124 = 7.2258 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 16] and B = [1, 3, 6, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6].\n</reasoning>\nFinal Answer: [1, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 25 = 140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 23x = 115. Divide by 23: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 6 = 95.0 days.\n</reasoning>\nFinal Answer: 95.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 6 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 43+36-16=63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 877 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 877 × (1 - 45/100) = 877 × 0.55 = 482.35.\n</reasoning>\nFinal Answer: 482.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 36) * (15 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+36)=48, (15-6)=9, then 48×9=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 10 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 22/60 = 10.3667 hours. Distance = speed × time = 199 × 10.3667 = 2062.9667 km.\n</reasoning>\nFinal Answer: 2062.9667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -221 - 675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 675 from -221: -221 - 675 = -896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 43 = -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 5x = -245. Divide by 5: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 229 ÷ 447"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 229 by 447. 229 ÷ 447 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 24 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+24) × 25 = 625.0.\n</reasoning>\nFinal Answer: 625.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 48, 41, 35, 7, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 218/6 = 36.3333.\n</reasoning>\nFinal Answer: 36.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -30 = -836"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 26x = -806. Divide by 26: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 29 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 44+841-33=852.\n</reasoning>\nFinal Answer: 852"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 42, 47, 52, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 5. Next term = 57 + 5 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/19) ÷ (5/6) = (4/19) × (6/5) = 24/95.\n</reasoning>\nFinal Answer: 24/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 + 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 11/1. Common denominator = 15. Result = 182/15.\n</reasoning>\nFinal Answer: 182/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 40 = -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 23x = -138. Divide by 23: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 20 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 2x = -44. Divide by 2: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 74 mod 821"
},
{
"role": "assistant",
"content": "<reasoning>\n74 mod 821: 74 = 821 × 0 + 74, so remainder = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 35 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 35 × (1 - 35/100) = 35 × 0.65 = 22.75.\n</reasoning>\nFinal Answer: 22.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 66 = 2904.0.\n</reasoning>\nFinal Answer: 2904.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 * 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/8) × (17/3) = (102/24) = 17/4 after simplification.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 21 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 21 × 91 = 1911.\n</reasoning>\nFinal Answer: 1911"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:8 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/8, so B = A × (8/46) = 13 × 8/46 = 2.2609.\n</reasoning>\nFinal Answer: 2.2609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 174 apples and buys 52 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 174 + 52 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 10, 23, 88, 73, 47, 47, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 10 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 72, 74, 77, 82, 28, 21, 12, 95, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 72: 1, 74: 1, 77: 1, 82: 1, 28: 1, 21: 1, 12: 1, 95: 1, 79: 1}. Most frequent: [88, 72, 74, 77, 82, 28, 21, 12, 95, 79].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 4 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+4) × 11 = 159.5.\n</reasoning>\nFinal Answer: 159.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 5, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (11-1)×5 = 1 + 50 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 333 mod -1000"
},
{
"role": "assistant",
"content": "<reasoning>\n333 mod -1000: 333 = -1000 × -1 + -667, so remainder = -667.\n</reasoning>\nFinal Answer: -667"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "210 is what percentage of 271?"
},
{
"role": "assistant",
"content": "<reasoning>\n(210/271) × 100 = 77.4908%.\n</reasoning>\nFinal Answer: 77.4908%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 257 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 257 × (1 + 17/100) = 257 × 1.17 = 300.69.\n</reasoning>\nFinal Answer: 300.69"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 11, 16, 17] and B = [2, 4, 6, 8, 11, 13, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 7, 8, 10, 13, 16, 17, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:31 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/31, so B = A × (31/14) = 41 × 31/14 = 90.7857.\n</reasoning>\nFinal Answer: 90.7857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -226 mod 289"
},
{
"role": "assistant",
"content": "<reasoning>\n-226 mod 289: -226 = 289 × -1 + 63, so remainder = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 435 - -446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -446 from 435: 435 - -446 = 881.\n</reasoning>\nFinal Answer: 881"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:24 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/24, so B = A × (24/8) = 18 × 24/8 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -405 × -207"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -405 by -207: -405 × -207 = 83835.\n</reasoning>\nFinal Answer: 83835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 * 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/9) × (7/9) = (77/81) = 77/81 after simplification.\n</reasoning>\nFinal Answer: 77/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 13, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (14-1)×13 = 22 + 169 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 66, 5, 21, 83, 62, 70, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 14, 21, 27, 62, 66, 70, 83]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:38 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/38, so B = A × (38/49) = 57 × 38/49 = 44.2041.\n</reasoning>\nFinal Answer: 44.2041"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -49 = 575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 16x = 624. Divide by 16: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -666 - -216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -216 from -666: -666 - -216 = -450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -483 - 703"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 703 from -483: -483 - 703 = -1186.\n</reasoning>\nFinal Answer: -1186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/7 + 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/7 + 17/4. Common denominator = 28. Result = 127/28.\n</reasoning>\nFinal Answer: 127/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 132 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 132 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 11, 11, 11, 2, 9, 95, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 11: 3, 2: 1, 9: 1, 95: 1, 1: 1}. Most frequent: 11.\n</reasoning>\nFinal Answer: 11"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 9, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (16-1)×9 = 22 + 135 = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1016. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1016 × 5/100 = 50.8. Total = 1016 + 50.8 = 1066.8.\n</reasoning>\nFinal Answer: 1066.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate: 8^2"
},
{
"role": "assistant",
"content": "<reasoning>\n8^2 = 8 × 8 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 97, 80, 89, 100, 58, 56, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 42 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2121. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2121 × 12/100 = 254.52. Total = 2121 + 254.52 = 2375.52.\n</reasoning>\nFinal Answer: 2375.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-49) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-49 = 196. √discriminant = 14. x = (-(0) ± 14) / (2×1). Solutions: x = -7 or x = 7.\n</reasoning>\nFinal Answer: x = -7 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 36 * 1 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×1=36, then 19+36-12=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 19] and B = [8, 9, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 591 ÷ -868"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 591 by -868. 591 ÷ -868 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -19 = 556"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 25x = 575. Divide by 25: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×38)/1 = 1330.\n</reasoning>\nFinal Answer: 1330"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 + 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/12 + 19/8. Common denominator = 8. Result = 23/8.\n</reasoning>\nFinal Answer: 23/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -35 = 218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 23x = 253. Divide by 23: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 86, 96, 87, 31, 48, 28, 24, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 23 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:34 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/34, so B = A × (34/4) = 29 × 34/4 = 246.5.\n</reasoning>\nFinal Answer: 246.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 52, 20, 98, 15, 7, 48, 58, 92, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 7, 15, 20, 48, 52, 58, 80, 92, 98]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×48)/1 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 - 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/19 - 20/8. LCD = 38. Result = -83/38.\n</reasoning>\nFinal Answer: -83/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "254 is what percentage of 380?"
},
{
"role": "assistant",
"content": "<reasoning>\n(254/380) × 100 = 66.8421%.\n</reasoning>\nFinal Answer: 66.8421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 14, 26, 38, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 12. Next term = 50 + 12 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -45 = 755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 20x = 800. Divide by 20: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -601 + 468"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -601 and 468: -601 + 468 = -133.\n</reasoning>\nFinal Answer: -133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 425 ÷ 229"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 425 by 229. 425 ÷ 229 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49253 at 7% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49253 × 7 × 3 / 100 = 10343.13.\n</reasoning>\nFinal Answer: 10343.13"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 15 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(15+56) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9273 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9273 × 14 × 9 / 100 = 11683.98.\n</reasoning>\nFinal Answer: 11683.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "361 is what percentage of 922?"
},
{
"role": "assistant",
"content": "<reasoning>\n(361/922) × 100 = 39.154%.\n</reasoning>\nFinal Answer: 39.154%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -230 ÷ 604"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -230 by 604. -230 ÷ 604 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 61, 64, 78, 24, 25, 81, 14, 92, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 24, 25, 37, 48, 61, 64, 78, 81, 92]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
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