messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 20, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (13-1)×20 = 8 + 240 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 40 = 696"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 16x = 656. Divide by 16: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 101 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 42 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 7x = 56. Divide by 7: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "218 is what percentage of 446?"
},
{
"role": "assistant",
"content": "<reasoning>\n(218/446) × 100 = 48.8789%.\n</reasoning>\nFinal Answer: 48.8789%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (10/3) = (50/36) = 25/18 after simplification.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 810 mod 300"
},
{
"role": "assistant",
"content": "<reasoning>\n810 mod 300: 810 = 300 × 2 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:41 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/41, so B = A × (41/36) = 8 × 41/36 = 9.1111.\n</reasoning>\nFinal Answer: 9.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 20 = -652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 21x = -672. Divide by 21: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 - 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/2 - 2/7. LCD = 14. Result = 87/14.\n</reasoning>\nFinal Answer: 87/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -914 ÷ 677"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -914 by 677. -914 ÷ 677 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -31 = -1411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 30x = -1380. Divide by 30: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 13 = 121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 12x = 108. Divide by 12: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-147) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-147 = 1764. √discriminant = 42. x = (-(0) ± 42) / (2×3). Solutions: x = 7 or x = -7.\n</reasoning>\nFinal Answer: x = 7 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:25 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/25, so B = A × (25/50) = 25 × 25/50 = 12.5.\n</reasoning>\nFinal Answer: 12.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 12 * 23 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×23=276, then 37+276-34=279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14592 at 1% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14592 × 1 × 9 / 100 = 1313.28.\n</reasoning>\nFinal Answer: 1313.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 96, 51, 84, 45, 59, 76, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 40 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -387 mod -826"
},
{
"role": "assistant",
"content": "<reasoning>\n-387 mod -826: -387 = -826 × 0 + -387, so remainder = -387.\n</reasoning>\nFinal Answer: -387"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 49, 62, 75, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 13. Next term = 88 + 13 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 9 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+9) × 19 = 209.0.\n</reasoning>\nFinal Answer: 209.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 2 * 16 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×16=32, then 15+32-18=29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 67 = 569.5.\n</reasoning>\nFinal Answer: 569.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 11 × -743"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 11 by -743: 11 × -743 = -8173.\n</reasoning>\nFinal Answer: -8173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 58, 19, 93, 99, 39, 50, 38, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 488/9 = 54.2222.\n</reasoning>\nFinal Answer: 54.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -40 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 27x = 27. Divide by 27: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,41) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -213 × 79"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -213 by 79: -213 × 79 = -16827.\n</reasoning>\nFinal Answer: -16827"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 56, 19, 67, 95, 42, 87, 57, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 484/9 = 53.7778.\n</reasoning>\nFinal Answer: 53.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:41 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/41, so B = A × (41/11) = 92 × 41/11 = 342.9091.\n</reasoning>\nFinal Answer: 342.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 25 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 / 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/5) ÷ (18/12) = (17/5) × (12/18) = 34/15.\n</reasoning>\nFinal Answer: 34/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 36 + 17 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×36=1620 and 17×40=680, then add: 2300.\n</reasoning>\nFinal Answer: 2300"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:8 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/8, so B = A × (8/37) = 97 × 8/37 = 20.973.\n</reasoning>\nFinal Answer: 20.973"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -24 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 7x = 147. Divide by 7: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 8 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 8 × 25 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 - 9/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/12 - 9/3. LCD = 12. Result = -31/12.\n</reasoning>\nFinal Answer: -31/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+34) = 2×128 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:19 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/19, so B = A × (19/5) = 76 × 19/5 = 288.8.\n</reasoning>\nFinal Answer: 288.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [100, 45, 24, 44, 34, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {100: 1, 45: 1, 24: 1, 44: 1, 34: 1, 91: 1}. Most frequent: [100, 45, 24, 44, 34, 91].\n</reasoning>\nFinal Answer: [100, 45, 24, 44, 34, 91]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 967 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 967 × (1 + 75/100) = 967 × 1.75 = 1692.25.\n</reasoning>\nFinal Answer: 1692.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 571 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 571 × (1 - 50/100) = 571 × 0.5 = 285.5.\n</reasoning>\nFinal Answer: 285.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 187 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(187,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 436 mod -924"
},
{
"role": "assistant",
"content": "<reasoning>\n436 mod -924: 436 = -924 × -1 + -488, so remainder = -488.\n</reasoning>\nFinal Answer: -488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 12) * (28 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+12)=50, (28-44)=-16, then 50×-16=-800.\n</reasoning>\nFinal Answer: -800"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 28 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 15+784-41=758.\n</reasoning>\nFinal Answer: 758"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 14, 55, 87, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 14 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 14, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (25-1)×14 = 40 + 336 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 136 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(136,180) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32462 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32462 × 17 × 7 / 100 = 38629.78.\n</reasoning>\nFinal Answer: 38629.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 24 = -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 11x = -451. Divide by 11: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 12 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 48+144-47=145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 44 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+44) × 25 = 637.5.\n</reasoning>\nFinal Answer: 637.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 8, 19, 45, 18, 84, 26, 2, 83, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 8: 1, 19: 1, 45: 1, 18: 1, 84: 1, 26: 1, 2: 1, 83: 1, 41: 1}. Most frequent: [35, 8, 19, 45, 18, 84, 26, 2, 83, 41].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 13, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (33-1)×13 = 20 + 416 = 436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 48, 51, 95, 45, 69, 89, 57, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 542/9 = 60.2222.\n</reasoning>\nFinal Answer: 60.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 170 and 73."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(170,73) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 38 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 29x = -232. Divide by 29: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -22 = -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 29x = -812. Divide by 29: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 42 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 28+1764-15=1777.\n</reasoning>\nFinal Answer: 1777"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 4 + 40 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×4=72 and 40×19=760, then add: 832.\n</reasoning>\nFinal Answer: 832"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -14 = 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 30x = 630. Divide by 30: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17778 at 13% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17778 × 13 × 3 / 100 = 6933.42.\n</reasoning>\nFinal Answer: 6933.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29400 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29400 × 8 × 5 / 100 = 11760.0.\n</reasoning>\nFinal Answer: 11760.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 44, 31, 44, 68, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 31 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 26, 4, 54, 18, 31, 14, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 14, 18, 26, 31, 49, 54, 63]. Middle value(s) → median = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -37 = -507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 10x = -470. Divide by 10: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 92 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 92 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -35 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 4x = 128. Divide by 4: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 90, 10, 51, 52, 8, 19, 80, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 356/9 = 39.5556.\n</reasoning>\nFinal Answer: 39.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 10 + 35 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×10=130 and 35×23=805, then add: 935.\n</reasoning>\nFinal Answer: 935"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 681 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 681 × (1 + 15/100) = 681 × 1.15 = 783.15.\n</reasoning>\nFinal Answer: 783.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 4) * (24 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+4)=42, (24-29)=-5, then 42×-5=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 9 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 9 = 153 worker-days. New time = 153 / 9 = 17.0 days.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 623 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 623 × (1 + 60/100) = 623 × 1.6 = 996.8.\n</reasoning>\nFinal Answer: 996.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -12 = -1212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 25x = -1200. Divide by 25: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 37 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 1x = -33. Divide by 1: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 24) * (19 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+24)=53, (19-39)=-20, then 53×-20=-1060.\n</reasoning>\nFinal Answer: -1060"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-9)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×1×20 = 1. √discriminant = 1. x = (-(-9) ± 1) / (2×1). Solutions: x = 4 or x = 5.\n</reasoning>\nFinal Answer: x = 4 or x = 5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 57, 65, 75, 81, 39, 50, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [39, 47, 50, 57, 65, 75, 81, 84]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 5. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 5² = π × 25 ≈ 78.5398.\n</reasoning>\nFinal Answer: 78.5398"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 15, 57, 35, 55, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 15 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 898 km apart. Their speeds are 120 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+80=200 km/h. Time = 898/200 = 4.49 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "72 is what percentage of 606?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/606) × 100 = 11.8812%.\n</reasoning>\nFinal Answer: 11.8812%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 8 = -517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 25x = -525. Divide by 25: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/20 * 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/20) × (2/2) = (26/40) = 13/20 after simplification.\n</reasoning>\nFinal Answer: 13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 207 km apart. Their speeds are 54 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+114=168 km/h. Time = 207/168 = 1.2321 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 6 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 24/60 = 6.4000 hours. Distance = speed × time = 108 × 6.4000 = 691.2 km.\n</reasoning>\nFinal Answer: 691.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the square root of 196."
},
{
"role": "assistant",
"content": "<reasoning>\n√196 = 14 because 14² = 196.\n</reasoning>\nFinal Answer: 14"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 179 × 11.5167 = 2061.4833 km.\n</reasoning>\nFinal Answer: 2061.4833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -236 × 725"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -236 by 725: -236 × 725 = -171100.\n</reasoning>\nFinal Answer: -171100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (3)x + (-6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×3×-6 = 81. √discriminant = 9. x = (-(3) ± 9) / (2×3). Solutions: x = 1 or x = -2.\n</reasoning>\nFinal Answer: x = 1 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 * 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/18) × (20/20) = (360/360) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:24 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/24, so B = A × (24/22) = 45 × 24/22 = 49.0909.\n</reasoning>\nFinal Answer: 49.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4784. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4784 × 18/100 = 861.12. Total = 4784 + 861.12 = 5645.12.\n</reasoning>\nFinal Answer: 5645.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 276 mod 677"
},
{
"role": "assistant",
"content": "<reasoning>\n276 mod 677: 276 = 677 × 0 + 276, so remainder = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 20) * (29 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+20)=44, (29-11)=18, then 44×18=792.\n</reasoning>\nFinal Answer: 792"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 7, 77, 77, 61, 66, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 7: 1, 77: 2, 61: 2, 66: 1}. Most frequent: [77, 61].\n</reasoning>\nFinal Answer: [77, 61]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -947 ÷ -512"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -947 by -512. -947 ÷ -512 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 16 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 2x = 58. Divide by 2: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
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