messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 25 - -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -395 from 25: 25 - -395 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 42 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 47+1764-28=1783.\n</reasoning>\nFinal Answer: 1783"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 890 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 890 × (1 + 25/100) = 890 × 1.25 = 1112.5.\n</reasoning>\nFinal Answer: 1112.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 17 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 2x = 30. Divide by 2: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 23 * 32 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×32=736, then 34+736-32=738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 33 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 33+1089-41=1081.\n</reasoning>\nFinal Answer: 1081"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 + 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/12 + 2/4. Common denominator = 12. Result = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 892 - 691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 691 from 892: 892 - 691 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 11, 13, 14, 15, 18, 19] and B = [2, 4, 9, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 13, 14, 15, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 96, 47, 20, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 45, 47, 66, 96]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 6 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 1x = 26. Divide by 1: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 47 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 22+2209-48=2183.\n</reasoning>\nFinal Answer: 2183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 29 × -744"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 29 by -744: 29 × -744 = -21576.\n</reasoning>\nFinal Answer: -21576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 389 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 389 × (1 - 12/100) = 389 × 0.88 = 342.32.\n</reasoning>\nFinal Answer: 342.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 10 = -237"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 13x = -247. Divide by 13: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 16 * 30 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×30=480, then 7+480-27=460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -642 mod -429"
},
{
"role": "assistant",
"content": "<reasoning>\n-642 mod -429: -642 = -429 × 1 + -213, so remainder = -213.\n</reasoning>\nFinal Answer: -213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 23, 74, 92, 98, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 380/6 = 63.3333.\n</reasoning>\nFinal Answer: 63.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 107 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 107 × (1 - 75/100) = 107 × 0.25 = 26.75.\n</reasoning>\nFinal Answer: 26.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:5 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/5, so B = A × (5/39) = 43 × 5/39 = 5.5128.\n</reasoning>\nFinal Answer: 5.5128"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 170?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 170 = (20/100) × 170 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 82 = 4756.\n</reasoning>\nFinal Answer: 4756"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 28 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 13+784-22=775.\n</reasoning>\nFinal Answer: 775"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 / 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/10) ÷ (14/16) = (9/10) × (16/14) = 36/35.\n</reasoning>\nFinal Answer: 36/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 487 + -506"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 487 and -506: 487 + -506 = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 84 = 714.0.\n</reasoning>\nFinal Answer: 714.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1782 at 20% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1782 × 20 × 10 / 100 = 3564.0.\n</reasoning>\nFinal Answer: 3564.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 67, 85, 23, 71, 75, 45, 100, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 67: 1, 85: 1, 23: 1, 71: 1, 75: 1, 45: 1, 100: 1, 10: 1}. Most frequent: [30, 67, 85, 23, 71, 75, 45, 100, 10].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 814 + 507"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 814 and 507: 814 + 507 = 1321.\n</reasoning>\nFinal Answer: 1321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 828?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 828 = (60/100) × 828 = 496.8.\n</reasoning>\nFinal Answer: 496.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 18 = -270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 24x = -288. Divide by 24: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 44, 77, 20, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 10 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30511 at 10% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30511 × 10 × 5 / 100 = 15255.5.\n</reasoning>\nFinal Answer: 15255.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 17] and B = [12, 13, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 9, 12, 13, 16, 17, 18].\n</reasoning>\nFinal Answer: [3, 9, 12, 13, 16, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2490 at 3% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2490 × 3 × 3 / 100 = 224.1.\n</reasoning>\nFinal Answer: 224.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 + 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/16 + 13/8. Common denominator = 8. Result = 11/4.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -6 mod 680"
},
{
"role": "assistant",
"content": "<reasoning>\n-6 mod 680: -6 = 680 × -1 + 674, so remainder = 674.\n</reasoning>\nFinal Answer: 674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 75, 22, 34, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 34, 50, 63, 75]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -37 = -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 11x = -539. Divide by 11: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 10 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 38/60 = 10.6333 hours. Distance = speed × time = 56 × 10.6333 = 595.4667 km.\n</reasoning>\nFinal Answer: 595.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 40) * (22 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+40)=62, (22-35)=-13, then 62×-13=-806.\n</reasoning>\nFinal Answer: -806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 117 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 907 + -997"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 907 and -997: 907 + -997 = -90.\n</reasoning>\nFinal Answer: -90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -44 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 6x = 96. Divide by 6: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 10, 71, 49, 59, 42, 32, 58, 92, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 2, 10: 1, 71: 1, 49: 1, 59: 1, 42: 1, 32: 1, 58: 1, 92: 1}. Most frequent: 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 - 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/12 - 15/19. LCD = 76. Result = -3/76.\n</reasoning>\nFinal Answer: -3/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 71 = 3514.5.\n</reasoning>\nFinal Answer: 3514.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 185 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 185 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (35)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 35² - 4×5×-90 = 3025. √discriminant = 55. x = (-(35) ± 55) / (2×5). Solutions: x = -9 or x = 2.\n</reasoning>\nFinal Answer: x = -9 or x = 2"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 11, 12, 14, 16] and B = [4, 5, 7, 9, 10, 12, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 5, 6, 9, 10, 11, 14, 18].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 60 km/h. How far does it travel in 11 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 21/60 = 11.3500 hours. Distance = speed × time = 60 × 11.3500 = 681.0 km.\n</reasoning>\nFinal Answer: 681.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 991 - -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -114 from 991: 991 - -114 = 1105.\n</reasoning>\nFinal Answer: 1105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -1 = 287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 12x = 288. Divide by 12: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 798 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 798 × (1 + 30/100) = 798 × 1.3 = 1037.4.\n</reasoning>\nFinal Answer: 1037.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 5) * (2 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+5)=34, (2-27)=-25, then 34×-25=-850.\n</reasoning>\nFinal Answer: -850"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:6 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/6, so B = A × (6/10) = 38 × 6/10 = 22.8.\n</reasoning>\nFinal Answer: 22.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 28, 100, 72, 43, 58, 7, 62, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 14, 28, 43, 58, 62, 72, 99, 100]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:27 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/27, so B = A × (27/3) = 38 × 27/3 = 342.0.\n</reasoning>\nFinal Answer: 342.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 171 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n171 = 3 × 57, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 * 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/9) × (17/13) = (306/117) = 34/13 after simplification.\n</reasoning>\nFinal Answer: 34/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4602. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4602 × 28/100 = 1288.56. Total = 4602 + 1288.56 = 5890.56.\n</reasoning>\nFinal Answer: 5890.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (5/20) = (11/12) × (20/5) = 11/3.\n</reasoning>\nFinal Answer: 11/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 4, 72, 37, 76, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 4 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 23 + 44 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×23=161 and 44×15=660, then add: 821.\n</reasoning>\nFinal Answer: 821"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 143 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 143 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 46, 52, 65, 98, 11, 52, 62, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 46: 1, 52: 2, 65: 1, 98: 1, 11: 1, 62: 1, 81: 1}. Most frequent: 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 36 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(36,152) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 + 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/6 + 19/13. Common denominator = 78. Result = 205/78.\n</reasoning>\nFinal Answer: 205/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 / 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/8) ÷ (4/7) = (13/8) × (7/4) = 91/32.\n</reasoning>\nFinal Answer: 91/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -442 ÷ 479"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -442 by 479. -442 ÷ 479 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 29, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 29 + 30 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -41 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 5x = -230. Divide by 5: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 401 mod -881"
},
{
"role": "assistant",
"content": "<reasoning>\n401 mod -881: 401 = -881 × -1 + -480, so remainder = -480.\n</reasoning>\nFinal Answer: -480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 43, 21, 26, 56, 15, 41, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 316/8 = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/1 - 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/1 - 14/20. LCD = 10. Result = 33/10.\n</reasoning>\nFinal Answer: 33/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:47 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/47, so B = A × (47/34) = 30 × 47/34 = 41.4706.\n</reasoning>\nFinal Answer: 41.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 11 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 11 × 43 = 473.\n</reasoning>\nFinal Answer: 473"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41559 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41559 × 16 × 10 / 100 = 66494.4.\n</reasoning>\nFinal Answer: 66494.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 93 = 4743.\n</reasoning>\nFinal Answer: 4743"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 329 km apart. Their speeds are 84 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+104=188 km/h. Time = 329/188 = 1.75 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 12, 26, 1, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 1 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 891 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 891 × (1 - 5/100) = 891 × 0.95 = 846.45.\n</reasoning>\nFinal Answer: 846.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 / 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/4) ÷ (9/4) = (1/4) × (4/9) = 1/9.\n</reasoning>\nFinal Answer: 1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 / 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/6) ÷ (16/6) = (18/6) × (6/16) = 9/8.\n</reasoning>\nFinal Answer: 9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -414 × 123"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -414 by 123: -414 × 123 = -50922.\n</reasoning>\nFinal Answer: -50922"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 390 km apart. Their speeds are 64 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+76=140 km/h. Time = 390/140 = 2.7857 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -163 + -486"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -163 and -486: -163 + -486 = -649.\n</reasoning>\nFinal Answer: -649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -552 ÷ 767"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -552 by 767. -552 ÷ 767 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 104 km/h. How far does it travel in 8 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 19/60 = 8.3167 hours. Distance = speed × time = 104 × 8.3167 = 864.9333 km.\n</reasoning>\nFinal Answer: 864.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 6 * 29 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×29=174, then 22+174-24=172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 / 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/10) ÷ (13/20) = (16/10) × (20/13) = 32/13.\n</reasoning>\nFinal Answer: 32/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 55, 70, 85, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 15. Next term = 100 + 15 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 50, 85, 33, 16, 53, 29, 26, 74, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 498/10 = 49.8.\n</reasoning>\nFinal Answer: 49.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 / 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/16) ÷ (11/20) = (5/16) × (20/11) = 25/44.\n</reasoning>\nFinal Answer: 25/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 32 = 816.0.\n</reasoning>\nFinal Answer: 816.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 470 × 902"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 470 by 902: 470 × 902 = 423940.\n</reasoning>\nFinal Answer: 423940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 24 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 31+576-40=567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 - 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/10 - 17/18. LCD = 90. Result = 41/90.\n</reasoning>\nFinal Answer: 41/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 8 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 2x = -66. Divide by 2: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 519 ÷ -477"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 519 by -477. 519 ÷ -477 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.