messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "15 workers can complete a job in 21 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 21 = 315 worker-days. New time = 315 / 12 = 26.25 days.\n</reasoning>\nFinal Answer: 26.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 + 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/10 + 14/12. Common denominator = 30. Result = 77/30.\n</reasoning>\nFinal Answer: 77/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 is what percentage of 19?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/19) × 100 = 89.4737%.\n</reasoning>\nFinal Answer: 89.4737%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -483 - -353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -353 from -483: -483 - -353 = -130.\n</reasoning>\nFinal Answer: -130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 * 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/19) × (6/12) = (84/228) = 7/19 after simplification.\n</reasoning>\nFinal Answer: 7/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 103 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 103 + 97 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 48 * 36 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×36=1728, then 31+1728-46=1713.\n</reasoning>\nFinal Answer: 1713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 26 mod -164"
},
{
"role": "assistant",
"content": "<reasoning>\n26 mod -164: 26 = -164 × -1 + -138, so remainder = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 175 apples and buys 40 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 175 + 40 = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -752 ÷ -426"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -752 by -426. -752 ÷ -426 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 832 ÷ -752"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 832 by -752. 832 ÷ -752 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 848 km apart. Their speeds are 67 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+43=110 km/h. Time = 848/110 = 7.7091 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -106 ÷ -957"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -106 by -957. -106 ÷ -957 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 34 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 11x = 11. Divide by 11: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 38, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 38 + 39 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 12% of 528?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 528 = (12/100) × 528 = 63.36.\n</reasoning>\nFinal Answer: 63.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 30 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 26x = 78. Divide by 26: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:9 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/9, so B = A × (9/2) = 40 × 9/2 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -29 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 10x = 460. Divide by 10: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 15 = 15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 13x = 0. Divide by 13: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 + 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/14 + 19/8. Common denominator = 56. Result = 185/56.\n</reasoning>\nFinal Answer: 185/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -750 ÷ -514"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -750 by -514. -750 ÷ -514 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -680 ÷ 329"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -680 by 329. -680 ÷ 329 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -629 - -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -663 from -629: -629 - -663 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 96, 48, 65, 81, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 48, 65, 81, 96, 97]. Middle value(s) → median = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 29 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 50+841-47=844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 215 × 119"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 215 by 119: 215 × 119 = 25585.\n</reasoning>\nFinal Answer: 25585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 46 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 13+2116-27=2102.\n</reasoning>\nFinal Answer: 2102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -607 - -457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -457 from -607: -607 - -457 = -150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 33 + 11 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×33=264 and 11×12=132, then add: 396.\n</reasoning>\nFinal Answer: 396"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 100, 55, 59, 26, 69, 23, 25, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 23 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 48 km/h. How far does it travel in 2 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 39/60 = 2.6500 hours. Distance = speed × time = 48 × 2.6500 = 127.2 km.\n</reasoning>\nFinal Answer: 127.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 9 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 44+81-2=123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 25 = -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 18x = -36. Divide by 18: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+49) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 10 = -1134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 26x = -1144. Divide by 26: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:17 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/17, so B = A × (17/35) = 20 × 17/35 = 9.7143.\n</reasoning>\nFinal Answer: 9.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 30 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 10x = 70. Divide by 10: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 / 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/16) ÷ (10/6) = (8/16) × (6/10) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -828 + 283"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -828 and 283: -828 + 283 = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+64) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 7% of 4?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 4 = (7/100) × 4 = 0.28.\n</reasoning>\nFinal Answer: 0.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 25 * 39 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×39=975, then 43+975-2=1016.\n</reasoning>\nFinal Answer: 1016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 10 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 54/60 = 10.9000 hours. Distance = speed × time = 72 × 10.9000 = 784.8 km.\n</reasoning>\nFinal Answer: 784.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 - 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/17 - 13/14. LCD = 238. Result = 31/238.\n</reasoning>\nFinal Answer: 31/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 172 and 187."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(172,187) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 1 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22257 at 4% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22257 × 4 × 6 / 100 = 5341.68.\n</reasoning>\nFinal Answer: 5341.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 187 km apart. Their speeds are 96 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+64=160 km/h. Time = 187/160 = 1.1687 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 51, 76, 56, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 269/5 = 53.8.\n</reasoning>\nFinal Answer: 53.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 43 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 43 × 63 = 2709.\n</reasoning>\nFinal Answer: 2709"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 10, 11, 13, 16] and B = [7, 10, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 8, 9, 11, 13, 14, 16, 17].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -218 ÷ 956"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -218 by 956. -218 ÷ 956 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = -72. Divide by 2: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 - 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/18 - 13/8. LCD = 24. Result = -23/24.\n</reasoning>\nFinal Answer: -23/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:9 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/9, so B = A × (9/16) = 4 × 9/16 = 2.25.\n</reasoning>\nFinal Answer: 2.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 + 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/5 + 1/11. Common denominator = 55. Result = 159/55.\n</reasoning>\nFinal Answer: 159/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 23 + 49 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×23=92 and 49×11=539, then add: 631.\n</reasoning>\nFinal Answer: 631"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-36)x + (108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -36² - 4×3×108 = 0. √discriminant = 0. x = (-(-36) ± 0) / (2×3). Solutions: x = 6 (double root).\n</reasoning>\nFinal Answer: x = 6 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 40) * (32 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+40)=47, (32-17)=15, then 47×15=705.\n</reasoning>\nFinal Answer: 705"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 17 + 11 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×17=255 and 11×39=429, then add: 684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -30 = -1278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 26x = -1248. Divide by 26: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 89, 100, 87, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 365/5 = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -207 ÷ -10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -207 by -10. -207 ÷ -10 = 20 (integer division).\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -939 - -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -379 from -939: -939 - -379 = -560.\n</reasoning>\nFinal Answer: -560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -344 × -260"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -344 by -260: -344 × -260 = 89440.\n</reasoning>\nFinal Answer: 89440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 268."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 268 by smallest primes repeatedly: 268 = 2 × 2 × 67.\n</reasoning>\nFinal Answer: 2 × 2 × 67"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 91 = 2912.\n</reasoning>\nFinal Answer: 2912"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -40 = 1149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 29x = 1189. Divide by 29: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6505 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6505 × 20 × 7 / 100 = 9107.0.\n</reasoning>\nFinal Answer: 9107.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 69, 20, 49, 21, 2, 59, 43, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 2 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 90, 50, 9, 13, 37, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 315/7 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -465 - 695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 695 from -465: -465 - 695 = -1160.\n</reasoning>\nFinal Answer: -1160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (-9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×-9 = 100. √discriminant = 10. x = (-(8) ± 10) / (2×1). Solutions: x = -9 or x = 1.\n</reasoning>\nFinal Answer: x = -9 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 18 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 18 = 234 worker-days. New time = 234 / 3 = 78.0 days.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 7 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 7 = 126 worker-days. New time = 126 / 14 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 45 = 365"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 16x = 320. Divide by 16: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 1) * (16 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+1)=15, (16-12)=4, then 15×4=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 44, 62, 55, 9, 90, 7, 48, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 9, 44, 48, 55, 62, 85, 90, 91]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:44 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/44, so B = A × (44/25) = 15 × 44/25 = 26.4.\n</reasoning>\nFinal Answer: 26.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 44) * (10 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+44)=46, (10-8)=2, then 46×2=92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 22 = 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 21x = 441. Divide by 21: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -49 = 491"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 15x = 540. Divide by 15: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 8 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 8/16 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 70 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 70 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 4 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (-81) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×-81 = 1296. √discriminant = 36. x = (-(18) ± 36) / (2×3). Solutions: x = 3 or x = -9.\n</reasoning>\nFinal Answer: x = 3 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 8, 10, 13, 15, 16] and B = [3, 9, 12, 13, 14, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 13].\n</reasoning>\nFinal Answer: [3, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 5 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 5 = 80 worker-days. New time = 80 / 13 = 6.1538 days.\n</reasoning>\nFinal Answer: 6.1538"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 88 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 88 × (1 + 10/100) = 88 × 1.1 = 96.8.\n</reasoning>\nFinal Answer: 96.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 1 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 + 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/4 + 15/6. Common denominator = 2. Result = 15/2.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 739 + -681"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 739 and -681: 739 + -681 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3871. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3871 × 28/100 = 1083.88. Total = 3871 + 1083.88 = 4954.88.\n</reasoning>\nFinal Answer: 4954.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 17 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 37+289-44=282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 133 km/h. How far does it travel in 6 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 17/60 = 6.2833 hours. Distance = speed × time = 133 × 6.2833 = 835.6833 km.\n</reasoning>\nFinal Answer: 835.6833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 16, 17, 19] and B = [2, 3, 7, 8, 13, 14, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [16, 19].\n</reasoning>\nFinal Answer: [16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 623 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 623 × (1 - 50/100) = 623 × 0.5 = 311.5.\n</reasoning>\nFinal Answer: 311.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 12, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (35-1)×12 = 45 + 408 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 719 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 719 × (1 - 40/100) = 719 × 0.6 = 431.4.\n</reasoning>\nFinal Answer: 431.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
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