messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 38 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 37+1444-16=1465.\n</reasoning>\nFinal Answer: 1465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 16, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (29-1)×16 = 22 + 448 = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "199 is what percentage of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n(199/372) × 100 = 53.4946%.\n</reasoning>\nFinal Answer: 53.4946%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 29 + 10 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×29=783 and 10×24=240, then add: 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 31) * (11 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+31)=64, (11-6)=5, then 64×5=320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 18 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 38+324-11=351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23230 at 7% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23230 × 7 × 4 / 100 = 6504.4.\n</reasoning>\nFinal Answer: 6504.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 + 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/11 + 6/12. Common denominator = 22. Result = 29/22.\n</reasoning>\nFinal Answer: 29/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 89 = 2269.5.\n</reasoning>\nFinal Answer: 2269.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:27 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/27, so B = A × (27/14) = 8 × 27/14 = 15.4286.\n</reasoning>\nFinal Answer: 15.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -57 - -969"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -969 from -57: -57 - -969 = 912.\n</reasoning>\nFinal Answer: 912"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:29 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/29, so B = A × (29/38) = 24 × 29/38 = 18.3158.\n</reasoning>\nFinal Answer: 18.3158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2505. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2505 × 28/100 = 701.4. Total = 2505 + 701.4 = 3206.4.\n</reasoning>\nFinal Answer: 3206.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 41, 17, 1, 12, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 12, 17, 41, 61, 66]. Middle value(s) → median = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -369 mod 646"
},
{
"role": "assistant",
"content": "<reasoning>\n-369 mod 646: -369 = 646 × -1 + 277, so remainder = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 42) * (8 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+42)=86, (8-26)=-18, then 86×-18=-1548.\n</reasoning>\nFinal Answer: -1548"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 658 mod 234"
},
{
"role": "assistant",
"content": "<reasoning>\n658 mod 234: 658 = 234 × 2 + 190, so remainder = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:23 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/23, so B = A × (23/12) = 29 × 23/12 = 55.5833.\n</reasoning>\nFinal Answer: 55.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 - 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/8 - 11/1. LCD = 8. Result = -69/8.\n</reasoning>\nFinal Answer: -69/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 961 mod -70"
},
{
"role": "assistant",
"content": "<reasoning>\n961 mod -70: 961 = -70 × -14 + -19, so remainder = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (12/19) = (84/38) = 42/19 after simplification.\n</reasoning>\nFinal Answer: 42/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 32 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(32,177) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -218 × -805"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -218 by -805: -218 × -805 = 175490.\n</reasoning>\nFinal Answer: 175490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 204 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 204 × (1 + 3/100) = 204 × 1.03 = 210.12.\n</reasoning>\nFinal Answer: 210.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 28, 84, 53, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 28: 1, 84: 1, 53: 1, 81: 1}. Most frequent: [86, 28, 84, 53, 81].\n</reasoning>\nFinal Answer: [86, 28, 84, 53, 81]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 / 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/4) ÷ (17/20) = (12/4) × (20/17) = 60/17.\n</reasoning>\nFinal Answer: 60/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 979 - 341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 341 from 979: 979 - 341 = 638.\n</reasoning>\nFinal Answer: 638"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 8 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 5+64-26=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 19 = 918"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 29x = 899. Divide by 29: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 24 = -501"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 15x = -525. Divide by 15: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 58, 80, 43, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 24 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 8, 92, 35, 85, 16, 58, 45, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 431/9 = 47.8889.\n</reasoning>\nFinal Answer: 47.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:44 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/44, so B = A × (44/20) = 57 × 44/20 = 125.4.\n</reasoning>\nFinal Answer: 125.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 14 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 14 = 84 worker-days. New time = 84 / 5 = 16.8 days.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 15 = -705"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 15x = -720. Divide by 15: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 91, 63, 36, 11, 100, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 2, 91: 1, 63: 1, 36: 1, 100: 1, 73: 1}. Most frequent: 11.\n</reasoning>\nFinal Answer: 11"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 54 × -442"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 54 by -442: 54 × -442 = -23868.\n</reasoning>\nFinal Answer: -23868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -27 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 7x = 147. Divide by 7: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3476 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3476 × 8 × 5 / 100 = 1390.4.\n</reasoning>\nFinal Answer: 1390.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30935 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30935 × 2 × 5 / 100 = 3093.5.\n</reasoning>\nFinal Answer: 3093.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 5, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (25-1)×5 = 4 + 120 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 24, 16, 96, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 185/5 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:38 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/38, so B = A × (38/20) = 80 × 38/20 = 152.0.\n</reasoning>\nFinal Answer: 152.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 + 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/11 + 1/9. Common denominator = 99. Result = 29/99.\n</reasoning>\nFinal Answer: 29/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 68 = 5780.\n</reasoning>\nFinal Answer: 5780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 67, 92, 48, 21, 94, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 438/7 = 62.5714.\n</reasoning>\nFinal Answer: 62.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 15 = 889"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 23x = 874. Divide by 23: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 - 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/4 - 8/20. LCD = 10. Result = 41/10.\n</reasoning>\nFinal Answer: 41/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 19 and 155."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(19,155) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 888 × 942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 888 by 942: 888 × 942 = 836496.\n</reasoning>\nFinal Answer: 836496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -13 = -910"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 23x = -897. Divide by 23: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 171 and 92."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(171,92) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 169 km apart. Their speeds are 70 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+98=168 km/h. Time = 169/168 = 1.006 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 34 = 466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 9x = 432. Divide by 9: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4853. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4853 × 28/100 = 1358.84. Total = 4853 + 1358.84 = 6211.84.\n</reasoning>\nFinal Answer: 6211.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -331 × -835"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -331 by -835: -331 × -835 = 276385.\n</reasoning>\nFinal Answer: 276385"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 460 × 586"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 460 by 586: 460 × 586 = 269560.\n</reasoning>\nFinal Answer: 269560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:3 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/3, so B = A × (3/16) = 46 × 3/16 = 8.625.\n</reasoning>\nFinal Answer: 8.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 16 + 39 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×16=160 and 39×46=1794, then add: 1954.\n</reasoning>\nFinal Answer: 1954"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 19, 86, 42, 46, 98, 47, 75, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 36, 42, 46, 47, 75, 86, 95, 98]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -44 = -984"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 20x = -940. Divide by 20: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 252 km apart. Their speeds are 57 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+89=146 km/h. Time = 252/146 = 1.726 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 25 = -437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 11x = -462. Divide by 11: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 2 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+2) × 9 = 81.0.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 15, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (25-1)×15 = 38 + 360 = 398.\n</reasoning>\nFinal Answer: 398"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -22 = 279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 7x = 301. Divide by 7: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 71."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,71) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -12 = -460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 16x = -448. Divide by 16: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 48 + 10 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×48=1152 and 10×9=90, then add: 1242.\n</reasoning>\nFinal Answer: 1242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-6)x + (9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×1×9 = 0. √discriminant = 0. x = (-(-6) ± 0) / (2×1). Solutions: x = 3 (double root).\n</reasoning>\nFinal Answer: x = 3 (double root)"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 4 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 39+16-49=6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 8, 9, 11, 19] and B = [1, 5, 9, 14, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 8, 9, 11, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 5, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×9)/3 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 2 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 15/60 = 2.2500 hours. Distance = speed × time = 68 × 2.2500 = 153.0 km.\n</reasoning>\nFinal Answer: 153.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 659 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 659 × (1 - 100/100) = 659 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -14 = -451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 23x = -437. Divide by 23: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -37 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 26x = 442. Divide by 26: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 9, 11, 13, 14, 18, 19] and B = [5, 8, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 8, 9, 11, 13, 14, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 482 × 147"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 482 by 147: 482 × 147 = 70854.\n</reasoning>\nFinal Answer: 70854"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:50 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/50, so B = A × (50/13) = 75 × 50/13 = 288.4615.\n</reasoning>\nFinal Answer: 288.4615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (4/2) = (68/18) = 34/9 after simplification.\n</reasoning>\nFinal Answer: 34/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 10, 36, 27, 99, 91, 29, 85, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 10: 1, 36: 1, 27: 1, 99: 1, 91: 1, 29: 1, 85: 1, 40: 1}. Most frequent: [64, 10, 36, 27, 99, 91, 29, 85, 40].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 72, 96, 4, 25, 40, 9, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 269/8 = 33.625.\n</reasoning>\nFinal Answer: 33.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 31 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+31) × 33 = 858.0.\n</reasoning>\nFinal Answer: 858.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-72)x + (320) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -72² - 4×4×320 = 64. √discriminant = 8. x = (-(-72) ± 8) / (2×4). Solutions: x = 10 or x = 8.\n</reasoning>\nFinal Answer: x = 10 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -697 + 722"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -697 and 722: -697 + 722 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 500?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 500 = (90/100) × 500 = 450.0.\n</reasoning>\nFinal Answer: 450.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -672 × 341"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -672 by 341: -672 × 341 = -229152.\n</reasoning>\nFinal Answer: -229152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×22)/1 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -157 × 771"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -157 by 771: -157 × 771 = -121047.\n</reasoning>\nFinal Answer: -121047"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 751 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 751 × (1 + 17/100) = 751 × 1.17 = 878.67.\n</reasoning>\nFinal Answer: 878.67"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [7, 23, 39, 55, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 7 and common difference 16. Next term = 71 + 16 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 52."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,52) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 14 + 46 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×14=14 and 46×44=2024, then add: 2038.\n</reasoning>\nFinal Answer: 2038"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 14 + 49 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×14=434 and 49×48=2352, then add: 2786.\n</reasoning>\nFinal Answer: 2786"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 11, 16, 17, 18] and B = [4, 7, 12, 14, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -9 = -226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 7x = -217. Divide by 7: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 17, 1, 24, 50, 52, 19, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 17, 19, 24, 50, 52, 67, 67]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 33 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 36) * (27 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+36)=59, (27-28)=-1, then 59×-1=-59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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