messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 11x + 44 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 11x = 99. Divide by 11: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 10, 13, 17, 19] and B = [3, 11, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 10, 11, 13, 19].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 45% of 465?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 465 = (45/100) × 465 = 209.25.\n</reasoning>\nFinal Answer: 209.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 37 = -719"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 27x = -756. Divide by 27: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 42 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+42) × 11 = 434.5.\n</reasoning>\nFinal Answer: 434.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 34 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 30x = 30. Divide by 30: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 22 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 11+484-14=481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -574 mod 368"
},
{
"role": "assistant",
"content": "<reasoning>\n-574 mod 368: -574 = 368 × -2 + 162, so remainder = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -564 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from -564: -564 - 26 = -590.\n</reasoning>\nFinal Answer: -590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 68 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 68 × 31 = 2108.\n</reasoning>\nFinal Answer: 2108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7] and B = [1, 6, 9, 10, 13, 14, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 7, 9, 10, 13, 14, 15, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -714 + -550"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -714 and -550: -714 + -550 = -1264.\n</reasoning>\nFinal Answer: -1264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 23 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 23 = 414 worker-days. New time = 414 / 8 = 51.75 days.\n</reasoning>\nFinal Answer: 51.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 / 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/4) ÷ (13/3) = (5/4) × (3/13) = 15/52.\n</reasoning>\nFinal Answer: 15/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 + 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/2 + 20/7. Common denominator = 7. Result = 69/7.\n</reasoning>\nFinal Answer: 69/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 50 = 2550.\n</reasoning>\nFinal Answer: 2550"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 13 = -1137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 25x = -1150. Divide by 25: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 21) * (19 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+21)=34, (19-31)=-12, then 34×-12=-408.\n</reasoning>\nFinal Answer: -408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:33 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/33, so B = A × (33/7) = 100 × 33/7 = 471.4286.\n</reasoning>\nFinal Answer: 471.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = -682"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = -729. Divide by 27: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 27 = 1027"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 25x = 1000. Divide by 25: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 97 mod -467"
},
{
"role": "assistant",
"content": "<reasoning>\n97 mod -467: 97 = -467 × -1 + -370, so remainder = -370.\n</reasoning>\nFinal Answer: -370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 833 mod -343"
},
{
"role": "assistant",
"content": "<reasoning>\n833 mod -343: 833 = -343 × -3 + -196, so remainder = -196.\n</reasoning>\nFinal Answer: -196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 564?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 564 = (3/100) × 564 = 16.92.\n</reasoning>\nFinal Answer: 16.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 43, 91, 94, 60, 3, 78, 86, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 600/9 = 66.6667.\n</reasoning>\nFinal Answer: 66.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 53 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(53+32) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [10, 16, 17] and B = [5, 9, 10, 11, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:46 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/46, so B = A × (46/33) = 49 × 46/33 = 68.303.\n</reasoning>\nFinal Answer: 68.303"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 42) * (1 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+42)=62, (1-38)=-37, then 62×-37=-2294.\n</reasoning>\nFinal Answer: -2294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 50 * 16 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×16=800, then 38+800-39=799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 7 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 58/60 = 7.9667 hours. Distance = speed × time = 87 × 7.9667 = 693.1 km.\n</reasoning>\nFinal Answer: 693.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "295 is what percentage of 709?"
},
{
"role": "assistant",
"content": "<reasoning>\n(295/709) × 100 = 41.6079%.\n</reasoning>\nFinal Answer: 41.6079%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2630 at 18% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2630 × 18 × 10 / 100 = 4734.0.\n</reasoning>\nFinal Answer: 4734.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:7 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/7, so B = A × (7/9) = 78 × 7/9 = 60.6667.\n</reasoning>\nFinal Answer: 60.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 122 apples and buys 29 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 122 + 29 = 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 is what percentage of 44?"
},
{
"role": "assistant",
"content": "<reasoning>\n(11/44) × 100 = 25.0%.\n</reasoning>\nFinal Answer: 25.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 - 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/16 - 6/7. LCD = 28. Result = 11/28.\n</reasoning>\nFinal Answer: 11/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×6)/6 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 28 = -287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 7x = -315. Divide by 7: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:39 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/39, so B = A × (39/12) = 38 × 39/12 = 123.5.\n</reasoning>\nFinal Answer: 123.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 21 * 29 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×29=609, then 21+609-14=616.\n</reasoning>\nFinal Answer: 616"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 65, 89, 38, 15, 18, 62, 57, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 13 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 568 ÷ 802"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 568 by 802. 568 ÷ 802 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 12 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 9+144-46=107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = -55. Divide by 5: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 45 = 4230.\n</reasoning>\nFinal Answer: 4230"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -77 - -340"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -340 from -77: -77 - -340 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 74 = 7104.\n</reasoning>\nFinal Answer: 7104"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -773 × 763"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -773 by 763: -773 × 763 = -589799.\n</reasoning>\nFinal Answer: -589799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 70, 100, 25, 68, 33, 49, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 33, 35, 49, 68, 70, 87, 100]. Middle value(s) → median = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 40 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 34+1600-35=1599.\n</reasoning>\nFinal Answer: 1599"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "11 is what percentage of 86?"
},
{
"role": "assistant",
"content": "<reasoning>\n(11/86) × 100 = 12.7907%.\n</reasoning>\nFinal Answer: 12.7907%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 46 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 9x = 63. Divide by 9: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 31, 24, 28, 62, 55, 43, 96, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 31: 1, 24: 1, 28: 1, 62: 1, 55: 1, 43: 1, 96: 1, 1: 1}. Most frequent: [19, 31, 24, 28, 62, 55, 43, 96, 1].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 30 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 27+900-2=925.\n</reasoning>\nFinal Answer: 925"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 671 + 880"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 671 and 880: 671 + 880 = 1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 26 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 13x = -130. Divide by 13: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 40 = 2040.\n</reasoning>\nFinal Answer: 2040"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 71, 53, 28, 96, 72, 83, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 422/8 = 52.75.\n</reasoning>\nFinal Answer: 52.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 39 * 28 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×28=1092, then 32+1092-13=1111.\n</reasoning>\nFinal Answer: 1111"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 59 + 236"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 59 and 236: 59 + 236 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 * 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/6) × (14/12) = (252/72) = 7/2 after simplification.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 754 × -781"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 754 by -781: 754 × -781 = -588874.\n</reasoning>\nFinal Answer: -588874"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -13 = 741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 26x = 754. Divide by 26: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 19 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 19 = 57 worker-days. New time = 57 / 7 = 8.1429 days.\n</reasoning>\nFinal Answer: 8.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1727. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1727 × 28/100 = 483.56. Total = 1727 + 483.56 = 2210.56.\n</reasoning>\nFinal Answer: 2210.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 100 apples and buys 64 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 100 + 64 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 43 * 47 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×47=2021, then 42+2021-3=2060.\n</reasoning>\nFinal Answer: 2060"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 20) * (40 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+20)=43, (40-50)=-10, then 43×-10=-430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 37 = -579"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 22x = -616. Divide by 22: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 179 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(179,5) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 730 km apart. Their speeds are 43 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+79=122 km/h. Time = 730/122 = 5.9836 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:42 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/42, so B = A × (42/48) = 84 × 42/48 = 73.5.\n</reasoning>\nFinal Answer: 73.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 74 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n74 = 2 × 37, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "An item costs ₹3171. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3171 × 12/100 = 380.52. Total = 3171 + 380.52 = 3551.52.\n</reasoning>\nFinal Answer: 3551.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -22 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 24x = -168. Divide by 24: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:6 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/6, so B = A × (6/11) = 85 × 6/11 = 46.3636.\n</reasoning>\nFinal Answer: 46.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 12 * 45 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×45=540, then 9+540-32=517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 26) * (22 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+26)=65, (22-21)=1, then 65×1=65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 574 + 230"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 574 and 230: 574 + 230 = 804.\n</reasoning>\nFinal Answer: 804"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 14 = -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 21x = -378. Divide by 21: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 859 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 859 × (1 - 20/100) = 859 × 0.8 = 687.2.\n</reasoning>\nFinal Answer: 687.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 69 = 3036.\n</reasoning>\nFinal Answer: 3036"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "623 is what percentage of 654?"
},
{
"role": "assistant",
"content": "<reasoning>\n(623/654) × 100 = 95.2599%.\n</reasoning>\nFinal Answer: 95.2599%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 26, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 26 + 40 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 35% of 833?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 833 = (35/100) × 833 = 291.55.\n</reasoning>\nFinal Answer: 291.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 16, 19] and B = [2, 12, 13, 14, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 7, 10, 12, 13, 14, 16, 17].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×42)/14 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "435 is what percentage of 660?"
},
{
"role": "assistant",
"content": "<reasoning>\n(435/660) × 100 = 65.9091%.\n</reasoning>\nFinal Answer: 65.9091%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 3, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (18-1)×3 = 6 + 51 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 99, 77, 19, 32, 60, 81, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 420/8 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 200 ÷ 234"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 200 by 234. 200 ÷ 234 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 16 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 8x = -280. Divide by 8: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 852 + -100"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 852 and -100: 852 + -100 = 752.\n</reasoning>\nFinal Answer: 752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 72, 71, 98, 92, 85, 44, 45, 43, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 34 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -758 mod -740"
},
{
"role": "assistant",
"content": "<reasoning>\n-758 mod -740: -758 = -740 × 1 + -18, so remainder = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 10 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 10 = 130 worker-days. New time = 130 / 12 = 10.8333 days.\n</reasoning>\nFinal Answer: 10.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 24 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 20+576-33=563.\n</reasoning>\nFinal Answer: 563"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -841 ÷ 149"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -841 by 149. -841 ÷ 149 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -744 ÷ 497"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -744 by 497. -744 ÷ 497 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
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