messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 5/18 + 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/18 + 8/20. Common denominator = 90. Result = 61/90.\n</reasoning>\nFinal Answer: 61/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 46, 49, 57, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 46: 1, 49: 1, 57: 1, 91: 1}. Most frequent: [22, 46, 49, 57, 91].\n</reasoning>\nFinal Answer: [22, 46, 49, 57, 91]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 20 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 20 × 26 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 939 km apart. Their speeds are 95 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 95+73=168 km/h. Time = 939/168 = 5.5893 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 43 = 3397.\n</reasoning>\nFinal Answer: 3397"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -286 ÷ -399"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -286 by -399. -286 ÷ -399 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:10 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/10, so B = A × (10/42) = 28 × 10/42 = 6.6667.\n</reasoning>\nFinal Answer: 6.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 353 mod 414"
},
{
"role": "assistant",
"content": "<reasoning>\n353 mod 414: 353 = 414 × 0 + 353, so remainder = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+81) = 2×146 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 13 = -631"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 28x = -644. Divide by 28: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 / 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/16) ÷ (20/1) = (19/16) × (1/20) = 19/320.\n</reasoning>\nFinal Answer: 19/320"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 3 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 40+9-27=22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹887. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 887 × 5/100 = 44.35. Total = 887 + 44.35 = 931.35.\n</reasoning>\nFinal Answer: 931.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 94, 43, 95, 9, 2, 95, 8, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 7, 8, 9, 43, 94, 95, 95]. Middle value(s) → median = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 71 ÷ 769"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 71 by 769. 71 ÷ 769 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 4, 45, 94, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 4 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 14, 15, 17, 19] and B = [2, 3, 5, 7, 8, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 8, 17].\n</reasoning>\nFinal Answer: [7, 8, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 / 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/20) ÷ (10/19) = (1/20) × (19/10) = 19/200.\n</reasoning>\nFinal Answer: 19/200"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 77 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 77 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -851 ÷ 21"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -851 by 21. -851 ÷ 21 = -41 (integer division).\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 - 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/18 - 19/14. LCD = 42. Result = -43/42.\n</reasoning>\nFinal Answer: -43/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 37, 69, 100, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 306/5 = 61.2.\n</reasoning>\nFinal Answer: 61.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 39 + 21 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×39=390 and 21×33=693, then add: 1083.\n</reasoning>\nFinal Answer: 1083"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -34 = 558"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 16x = 592. Divide by 16: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -520 mod 56"
},
{
"role": "assistant",
"content": "<reasoning>\n-520 mod 56: -520 = 56 × -10 + 40, so remainder = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 16 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 16 = 192 worker-days. New time = 192 / 2 = 96.0 days.\n</reasoning>\nFinal Answer: 96.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "197 is what percentage of 663?"
},
{
"role": "assistant",
"content": "<reasoning>\n(197/663) × 100 = 29.7134%.\n</reasoning>\nFinal Answer: 29.7134%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -35 × 336"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -35 by 336: -35 × 336 = -11760.\n</reasoning>\nFinal Answer: -11760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 968 mod -854"
},
{
"role": "assistant",
"content": "<reasoning>\n968 mod -854: 968 = -854 × -2 + -740, so remainder = -740.\n</reasoning>\nFinal Answer: -740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -16 = 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/16) ÷ (10/11) = (8/16) × (11/10) = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 4 = 324"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 8x = 320. Divide by 8: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:48 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/48, so B = A × (48/46) = 52 × 48/46 = 54.2609.\n</reasoning>\nFinal Answer: 54.2609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 8 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 14+64-30=48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 159 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 14 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 9+196-21=184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 583 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 583 × (1 + 75/100) = 583 × 1.75 = 1020.25.\n</reasoning>\nFinal Answer: 1020.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 6/18. Common denominator = 57. Result = 40/57.\n</reasoning>\nFinal Answer: 40/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 31, 74, 12, 31, 66, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 31: 2, 74: 1, 12: 1, 66: 1, 53: 1}. Most frequent: 31.\n</reasoning>\nFinal Answer: 31"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 564 ÷ -790"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 564 by -790. 564 ÷ -790 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 968 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 968 × (1 - 12/100) = 968 × 0.88 = 851.84.\n</reasoning>\nFinal Answer: 851.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -410 × -457"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -410 by -457: -410 × -457 = 187370.\n</reasoning>\nFinal Answer: 187370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 72 = 1836.0.\n</reasoning>\nFinal Answer: 1836.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:14 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/14, so B = A × (14/42) = 100 × 14/42 = 33.3333.\n</reasoning>\nFinal Answer: 33.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 75% of 809?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 809 = (75/100) × 809 = 606.75.\n</reasoning>\nFinal Answer: 606.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:49 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/49, so B = A × (49/27) = 51 × 49/27 = 92.5556.\n</reasoning>\nFinal Answer: 92.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 5 = 456"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 11x = 451. Divide by 11: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 19, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 19 + 20 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 50 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 15x = -345. Divide by 15: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -568 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from -568: -568 - 1 = -569.\n</reasoning>\nFinal Answer: -569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 + 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/1 + 13/3. Common denominator = 3. Result = 22/3.\n</reasoning>\nFinal Answer: 22/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 - 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/15 - 3/3. LCD = 5. Result = -2/5.\n</reasoning>\nFinal Answer: -2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "360 is what percentage of 613?"
},
{
"role": "assistant",
"content": "<reasoning>\n(360/613) × 100 = 58.7276%.\n</reasoning>\nFinal Answer: 58.7276%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 83, 14, 62, 98, 81, 46, 89, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 4 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 49 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(49,195) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 627 × 418"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 627 by 418: 627 × 418 = 262086.\n</reasoning>\nFinal Answer: 262086"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 881 ÷ 995"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 881 by 995. 881 ÷ 995 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 593 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 593 × (1 + 25/100) = 593 × 1.25 = 741.25.\n</reasoning>\nFinal Answer: 741.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 104 - -771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -771 from 104: 104 - -771 = 875.\n</reasoning>\nFinal Answer: 875"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -31 = -332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 7x = -301. Divide by 7: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -32 = -518"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 18x = -486. Divide by 18: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 45 = 591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 21x = 546. Divide by 21: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 100, 41, 69, 31, 99, 54, 35, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 31 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -794 ÷ -985"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -794 by -985. -794 ÷ -985 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 824 + 41"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 824 and 41: 824 + 41 = 865.\n</reasoning>\nFinal Answer: 865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-33)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -33² - 4×3×30 = 729. √discriminant = 27. x = (-(-33) ± 27) / (2×3). Solutions: x = 1 or x = 10.\n</reasoning>\nFinal Answer: x = 1 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 14) * (49 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+14)=20, (49-4)=45, then 20×45=900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 4 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 10, 11, 15, 19] and B = [2, 13, 15, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9, 10, 11, 19].\n</reasoning>\nFinal Answer: [5, 9, 10, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 291 - -815"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -815 from 291: 291 - -815 = 1106.\n</reasoning>\nFinal Answer: 1106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 11 + 2 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×11=451 and 2×2=4, then add: 455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 94, 4, 48, 4, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 278/6 = 46.3333.\n</reasoning>\nFinal Answer: 46.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 - 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/7 - 2/13. LCD = 13. Result = 24/13.\n</reasoning>\nFinal Answer: 24/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -33 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 2x = 40. Divide by 2: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 50% of 311?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 311 = (50/100) × 311 = 155.5.\n</reasoning>\nFinal Answer: 155.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 33 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -850 - 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 405 from -850: -850 - 405 = -1255.\n</reasoning>\nFinal Answer: -1255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 148 km/h. How far does it travel in 9 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 23/60 = 9.3833 hours. Distance = speed × time = 148 × 9.3833 = 1388.7333 km.\n</reasoning>\nFinal Answer: 1388.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 / 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/18) ÷ (6/20) = (7/18) × (20/6) = 35/27.\n</reasoning>\nFinal Answer: 35/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 346?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 346 = (40/100) × 346 = 138.4.\n</reasoning>\nFinal Answer: 138.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 76 ÷ 423"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 76 by 423. 76 ÷ 423 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 23) * (31 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+23)=57, (31-8)=23, then 57×23=1311.\n</reasoning>\nFinal Answer: 1311"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:23 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/23, so B = A × (23/1) = 68 × 23/1 = 1564.0.\n</reasoning>\nFinal Answer: 1564.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -40 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 22x = -154. Divide by 22: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -27 = -547"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 26x = -520. Divide by 26: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 58, 30, 20, 67, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 58: 1, 30: 1, 20: 1, 67: 1, 66: 1}. Most frequent: [5, 58, 30, 20, 67, 66].\n</reasoning>\nFinal Answer: [5, 58, 30, 20, 67, 66]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 70 ÷ -927"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 70 by -927. 70 ÷ -927 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -691 mod -447"
},
{
"role": "assistant",
"content": "<reasoning>\n-691 mod -447: -691 = -447 × 1 + -244, so remainder = -244.\n</reasoning>\nFinal Answer: -244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 48, 60, 72, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 12. Next term = 84 + 12 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 216 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 216 × (1 + 3/100) = 216 × 1.03 = 222.48.\n</reasoning>\nFinal Answer: 222.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -295 - -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -347 from -295: -295 - -347 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 16) * (24 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+16)=50, (24-20)=4, then 50×4=200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 81, 15, 74, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 322/5 = 64.4.\n</reasoning>\nFinal Answer: 64.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 34 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 17x = -459. Divide by 17: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 + 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/3 + 4/3. Common denominator = 3. Result = 13/3.\n</reasoning>\nFinal Answer: 13/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -555 - -241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -241 from -555: -555 - -241 = -314.\n</reasoning>\nFinal Answer: -314"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 52, 63, 74, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 11. Next term = 85 + 11 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -753 × 837"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -753 by 837: -753 × 837 = -630261.\n</reasoning>\nFinal Answer: -630261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 31, 36, 65, 41, 91, 61, 83, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 26 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+76) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
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