messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 25, 38, 51, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 13. Next term = 64 + 13 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -273 mod -345"
},
{
"role": "assistant",
"content": "<reasoning>\n-273 mod -345: -273 = -345 × 0 + -273, so remainder = -273.\n</reasoning>\nFinal Answer: -273"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:44 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/44, so B = A × (44/10) = 45 × 44/10 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -59 ÷ -867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -59 by -867. -59 ÷ -867 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 44 = 1408.\n</reasoning>\nFinal Answer: 1408"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (32)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 32² - 4×4×48 = 256. √discriminant = 16. x = (-(32) ± 16) / (2×4). Solutions: x = -2 or x = -6.\n</reasoning>\nFinal Answer: x = -2 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -592 + 139"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -592 and 139: -592 + 139 = -453.\n</reasoning>\nFinal Answer: -453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 926 ÷ 424"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 926 by 424. 926 ÷ 424 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 948 km apart. Their speeds are 73 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+111=184 km/h. Time = 948/184 = 5.1522 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 91, 75, 35, 26, 7, 31, 31, 54, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 91: 1, 75: 1, 35: 1, 26: 1, 7: 1, 31: 2, 54: 1, 39: 1}. Most frequent: 31.\n</reasoning>\nFinal Answer: 31"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -282 ÷ -836"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -282 by -836. -282 ÷ -836 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 6 * 23 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×23=138, then 16+138-41=113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹978. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 978 × 12/100 = 117.36. Total = 978 + 117.36 = 1095.36.\n</reasoning>\nFinal Answer: 1095.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 33, 82, 83, 25, 22, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 338/7 = 48.2857.\n</reasoning>\nFinal Answer: 48.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 193."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,193) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:15 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/15, so B = A × (15/8) = 8 × 15/8 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 6 = 222.0.\n</reasoning>\nFinal Answer: 222.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 325 - -722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -722 from 325: 325 - -722 = 1047.\n</reasoning>\nFinal Answer: 1047"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 543 km apart. Their speeds are 112 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 112+109=221 km/h. Time = 543/221 = 2.457 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-20)x + (-200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×4×-200 = 3600. √discriminant = 60. x = (-(-20) ± 60) / (2×4). Solutions: x = -5 or x = 10.\n</reasoning>\nFinal Answer: x = -5 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -560 × -631"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -560 by -631: -560 × -631 = 353360.\n</reasoning>\nFinal Answer: 353360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 407 - -162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -162 from 407: 407 - -162 = 569.\n</reasoning>\nFinal Answer: 569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48332 at 7% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48332 × 7 × 4 / 100 = 13532.96.\n</reasoning>\nFinal Answer: 13532.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 18, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (17-1)×18 = 23 + 288 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:11 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/11, so B = A × (11/49) = 93 × 11/49 = 20.8776.\n</reasoning>\nFinal Answer: 20.8776"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 713 - 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 124 from 713: 713 - 124 = 589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 13) * (19 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+13)=30, (19-2)=17, then 30×17=510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 + 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/4 + 9/7. Common denominator = 28. Result = 141/28.\n</reasoning>\nFinal Answer: 141/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 12 * 4 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×4=48, then 49+48-12=85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 17, 11, 71, 45, 92, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 17, 45, 71, 72, 90, 92]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:11 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/11, so B = A × (11/50) = 88 × 11/50 = 19.36.\n</reasoning>\nFinal Answer: 19.36"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -39 = 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 22x = 748. Divide by 22: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 20, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 20 + 38 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -134 ÷ 787"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -134 by 787. -134 ÷ 787 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 12) * (49 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+12)=56, (49-19)=30, then 56×30=1680.\n</reasoning>\nFinal Answer: 1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 17 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 17 + 72 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 27, 64, 11, 83, 91, 7, 98, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 7 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 7, 21, 49, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 7: 1, 21: 1, 49: 1, 40: 1}. Most frequent: [74, 7, 21, 49, 40].\n</reasoning>\nFinal Answer: [74, 7, 21, 49, 40]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -664 × 145"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -664 by 145: -664 × 145 = -96280.\n</reasoning>\nFinal Answer: -96280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 - 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/5 - 20/1. LCD = 5. Result = -93/5.\n</reasoning>\nFinal Answer: -93/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 / 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/8) ÷ (11/17) = (18/8) × (17/11) = 153/44.\n</reasoning>\nFinal Answer: 153/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 30 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+30) × 25 = 612.5.\n</reasoning>\nFinal Answer: 612.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 20/5. LCD = 11. Result = -31/11.\n</reasoning>\nFinal Answer: -31/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -26 = 224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 5x = 250. Divide by 5: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 14/8. LCD = 68. Result = -55/68.\n</reasoning>\nFinal Answer: -55/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 45 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+45) × 32 = 944.0.\n</reasoning>\nFinal Answer: 944.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -16 = 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 22x = 264. Divide by 22: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 12, 14, 16] and B = [6, 9, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 72 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 72 × 94 = 6768.\n</reasoning>\nFinal Answer: 6768"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:39 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/39, so B = A × (39/30) = 65 × 39/30 = 84.5.\n</reasoning>\nFinal Answer: 84.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 587 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 587 × (1 - 10/100) = 587 × 0.9 = 528.3.\n</reasoning>\nFinal Answer: 528.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 17 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+17) × 48 = 1320.0.\n</reasoning>\nFinal Answer: 1320.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 77 + 673"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 77 and 673: 77 + 673 = 750.\n</reasoning>\nFinal Answer: 750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 11 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 31+121-39=113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (14/18) = (11/12) × (18/14) = 33/28.\n</reasoning>\nFinal Answer: 33/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 841 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 841 × (1 + 65/100) = 841 × 1.65 = 1387.65.\n</reasoning>\nFinal Answer: 1387.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2539. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2539 × 28/100 = 710.92. Total = 2539 + 710.92 = 3249.92.\n</reasoning>\nFinal Answer: 3249.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 260 ÷ 338"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 260 by 338. 260 ÷ 338 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 10) * (13 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+10)=46, (13-47)=-34, then 46×-34=-1564.\n</reasoning>\nFinal Answer: -1564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 691 km apart. Their speeds are 81 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 81+67=148 km/h. Time = 691/148 = 4.6689 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 14 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 128 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 128 + 58 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -621 ÷ 416"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -621 by 416. -621 ÷ 416 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/15 + 8/8. Common denominator = 1. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 31, 80, 54, 84, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 306/6 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -21 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 3x = 63. Divide by 3: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 126 km/h. How far does it travel in 8 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 26/60 = 8.4333 hours. Distance = speed × time = 126 × 8.4333 = 1062.6 km.\n</reasoning>\nFinal Answer: 1062.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×29)/1 = 870.\n</reasoning>\nFinal Answer: 870"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 19, 36, 53, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 17. Next term = 70 + 17 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -1 = 1174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 25x = 1175. Divide by 25: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6385 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6385 × 5 × 9 / 100 = 2873.25.\n</reasoning>\nFinal Answer: 2873.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 139 km/h. How far does it travel in 6 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 57/60 = 6.9500 hours. Distance = speed × time = 139 × 6.9500 = 966.05 km.\n</reasoning>\nFinal Answer: 966.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1494. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1494 × 28/100 = 418.32. Total = 1494 + 418.32 = 1912.32.\n</reasoning>\nFinal Answer: 1912.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:20 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/20, so B = A × (20/32) = 33 × 20/32 = 20.625.\n</reasoning>\nFinal Answer: 20.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 17, 34, 30, 12, 66, 11, 65, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 13, 17, 24, 30, 34, 65, 66]. Middle value(s) → median = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -39 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 6x = -252. Divide by 6: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -917 mod -755"
},
{
"role": "assistant",
"content": "<reasoning>\n-917 mod -755: -917 = -755 × 1 + -162, so remainder = -162.\n</reasoning>\nFinal Answer: -162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 419 mod 646"
},
{
"role": "assistant",
"content": "<reasoning>\n419 mod 646: 419 = 646 × 0 + 419, so remainder = 419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 268 mod -350"
},
{
"role": "assistant",
"content": "<reasoning>\n268 mod -350: 268 = -350 × -1 + -82, so remainder = -82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -17 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 3x = 36. Divide by 3: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (20/19) = (280/57) = 280/57 after simplification.\n</reasoning>\nFinal Answer: 280/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 27, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 27 + 27 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -159 - 475"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 475 from -159: -159 - 475 = -634.\n</reasoning>\nFinal Answer: -634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -395 + -619"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -395 and -619: -395 + -619 = -1014.\n</reasoning>\nFinal Answer: -1014"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 31 = 781"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 30x = 750. Divide by 30: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 50, 47, 61, 60, 2, 87, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 50: 1, 47: 1, 61: 1, 60: 1, 2: 1, 87: 1, 7: 1}. Most frequent: [65, 50, 47, 61, 60, 2, 87, 7].\n</reasoning>\nFinal Answer: [65, 50, 47, 6... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹638. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 638 × 18/100 = 114.84. Total = 638 + 114.84 = 752.84.\n</reasoning>\nFinal Answer: 752.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/11 / 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/11) ÷ (12/4) = (4/11) × (4/12) = 4/33.\n</reasoning>\nFinal Answer: 4/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 12 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+12) × 22 = 473.0.\n</reasoning>\nFinal Answer: 473.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 56 = 1904.\n</reasoning>\nFinal Answer: 1904"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 26 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 26 = 130 worker-days. New time = 130 / 6 = 21.6667 days.\n</reasoning>\nFinal Answer: 21.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 305 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 305 × (1 - 5/100) = 305 × 0.95 = 289.75.\n</reasoning>\nFinal Answer: 289.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 75% of 155?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 155 = (75/100) × 155 = 116.25.\n</reasoning>\nFinal Answer: 116.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 8 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 8 = 72 worker-days. New time = 72 / 13 = 5.5385 days.\n</reasoning>\nFinal Answer: 5.5385"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -218 + -371"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -218 and -371: -218 + -371 = -589.\n</reasoning>\nFinal Answer: -589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 664 + -593"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 664 and -593: 664 + -593 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 359 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 359 × (1 + 45/100) = 359 × 1.45 = 520.55.\n</reasoning>\nFinal Answer: 520.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36561 at 3% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36561 × 3 × 3 / 100 = 3290.49.\n</reasoning>\nFinal Answer: 3290.49"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 37 = 3478.\n</reasoning>\nFinal Answer: 3478"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -14 = -254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 24x = -240. Divide by 24: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.