messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -668 × -610"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -668 by -610: -668 × -610 = 407480.\n</reasoning>\nFinal Answer: 407480"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 37 = 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 18x = 504. Divide by 18: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 41) * (43 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+41)=86, (43-12)=31, then 86×31=2666.\n</reasoning>\nFinal Answer: 2666"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:3 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/3, so B = A × (3/7) = 74 × 3/7 = 31.7143.\n</reasoning>\nFinal Answer: 31.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1823. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1823 × 18/100 = 328.14. Total = 1823 + 328.14 = 2151.14.\n</reasoning>\nFinal Answer: 2151.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:28 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/28, so B = A × (28/35) = 72 × 28/35 = 57.6.\n</reasoning>\nFinal Answer: 57.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -5 ÷ 171"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -5 by 171. -5 ÷ 171 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 21, 23, 25, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 2. Next term = 27 + 2 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 25% of 503?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 503 = (25/100) × 503 = 125.75.\n</reasoning>\nFinal Answer: 125.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:41 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/41, so B = A × (41/50) = 70 × 41/50 = 57.4.\n</reasoning>\nFinal Answer: 57.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 485 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 485 × (1 + 5/100) = 485 × 1.05 = 509.25.\n</reasoning>\nFinal Answer: 509.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4489. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4489 × 12/100 = 538.68. Total = 4489 + 538.68 = 5027.68.\n</reasoning>\nFinal Answer: 5027.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 37 = 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 26x = 286. Divide by 26: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 43, 19, 86, 6, 53, 37, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 261/8 = 32.625.\n</reasoning>\nFinal Answer: 32.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "178 is what percentage of 195?"
},
{
"role": "assistant",
"content": "<reasoning>\n(178/195) × 100 = 91.2821%.\n</reasoning>\nFinal Answer: 91.2821%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 8, 13, 15] and B = [2, 7, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 43, 81, 24, 84, 82, 42, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 465/8 = 58.125.\n</reasoning>\nFinal Answer: 58.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = 28. Divide by 1: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 968 ÷ -188"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 968 by -188. 968 ÷ -188 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 3, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (30-1)×3 = 31 + 87 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 11 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 49/60 = 11.8167 hours. Distance = speed × time = 190 × 11.8167 = 2245.1667 km.\n</reasoning>\nFinal Answer: 2245.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 10 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 34/60 = 10.5667 hours. Distance = speed × time = 177 × 10.5667 = 1870.3 km.\n</reasoning>\nFinal Answer: 1870.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 * 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/20) × (17/3) = (68/60) = 17/15 after simplification.\n</reasoning>\nFinal Answer: 17/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 - 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/20 - 14/1. LCD = 4. Result = -53/4.\n</reasoning>\nFinal Answer: -53/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 423 + 136"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 423 and 136: 423 + 136 = 559.\n</reasoning>\nFinal Answer: 559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -7 = -439"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 27x = -432. Divide by 27: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 977 ÷ -153"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 977 by -153. 977 ÷ -153 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 32, 40, 22, 56, 42, 21, 1, 88, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 21, 22, 32, 40, 42, 56, 63, 65, 88]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -3 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 9x = -315. Divide by 9: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 505 + -931"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 505 and -931: 505 + -931 = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -767 × 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -767 by 31: -767 × 31 = -23777.\n</reasoning>\nFinal Answer: -23777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 310 + -241"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 310 and -241: 310 + -241 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+11) = 2×61 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 17 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 17 = 51 worker-days. New time = 51 / 13 = 3.9231 days.\n</reasoning>\nFinal Answer: 3.9231"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -27 = 512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 11x = 539. Divide by 11: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 407 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 407 × (1 - 75/100) = 407 × 0.25 = 101.75.\n</reasoning>\nFinal Answer: 101.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 / 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/20) ÷ (1/3) = (16/20) × (3/1) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -10 = 350"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 10x = 360. Divide by 10: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 968 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 968 × (1 + 50/100) = 968 × 1.5 = 1452.0.\n</reasoning>\nFinal Answer: 1452.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 129 and 64."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(129,64) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 783 mod 404"
},
{
"role": "assistant",
"content": "<reasoning>\n783 mod 404: 783 = 404 × 1 + 379, so remainder = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 9, 12, 17, 18] and B = [4, 7, 8, 9, 10, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 6, 7, 8, 10, 12, 17].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:24 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/24, so B = A × (24/50) = 89 × 24/50 = 42.72.\n</reasoning>\nFinal Answer: 42.72"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 1 = -857"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 22x = -858. Divide by 22: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 132 - -246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -246 from 132: 132 - -246 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 188 + 626"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 188 and 626: 188 + 626 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 1 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+1) × 18 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 104 × -300"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 104 by -300: 104 × -300 = -31200.\n</reasoning>\nFinal Answer: -31200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 52, 34, 43, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 34, 43, 52, 60]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 328 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 328 × (1 - 80/100) = 328 × 0.19999999999999996 = 65.6.\n</reasoning>\nFinal Answer: 65.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (27)x + (54) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 27² - 4×3×54 = 81. √discriminant = 9. x = (-(27) ± 9) / (2×3). Solutions: x = -6 or x = -3.\n</reasoning>\nFinal Answer: x = -6 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 61 = 274.5.\n</reasoning>\nFinal Answer: 274.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 669 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 669 × (1 - 30/100) = 669 × 0.7 = 468.3.\n</reasoning>\nFinal Answer: 468.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = -642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = -627. Divide by 19: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 18 = 666.\n</reasoning>\nFinal Answer: 666"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 19/9. Common denominator = 36. Result = 85/36.\n</reasoning>\nFinal Answer: 85/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+89) = 2×141 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [3, 7, 31, 13, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {3: 1, 7: 1, 31: 1, 13: 1, 50: 1}. Most frequent: [3, 7, 31, 13, 50].\n</reasoning>\nFinal Answer: [3, 7, 31, 13, 50]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 * 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/15) × (10/20) = (10/300) = 1/30 after simplification.\n</reasoning>\nFinal Answer: 1/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 110 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 110 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 722 mod 327"
},
{
"role": "assistant",
"content": "<reasoning>\n722 mod 327: 722 = 327 × 2 + 68, so remainder = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -7 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 26x = -104. Divide by 26: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 449 × 971"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 449 by 971: 449 × 971 = 435979.\n</reasoning>\nFinal Answer: 435979"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 8, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (34-1)×8 = 9 + 264 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1952. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1952 × 18/100 = 351.36. Total = 1952 + 351.36 = 2303.36.\n</reasoning>\nFinal Answer: 2303.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -209 × -589"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -209 by -589: -209 × -589 = 123101.\n</reasoning>\nFinal Answer: 123101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:27 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/27, so B = A × (27/37) = 54 × 27/37 = 39.4054.\n</reasoning>\nFinal Answer: 39.4054"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹958. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 958 × 28/100 = 268.24. Total = 958 + 268.24 = 1226.24.\n</reasoning>\nFinal Answer: 1226.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -595 - 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 228 from -595: -595 - 228 = -823.\n</reasoning>\nFinal Answer: -823"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 10, 13, 15, 18] and B = [5, 6, 10, 13, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 10, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [4, 5, 6, 10, 13, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 6, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (43-1)×6 = 2 + 252 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 2, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (21-1)×2 = 16 + 40 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 148 km/h. How far does it travel in 3 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 50/60 = 3.8333 hours. Distance = speed × time = 148 × 3.8333 = 567.3333 km.\n</reasoning>\nFinal Answer: 567.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 47 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 16+2209-14=2211.\n</reasoning>\nFinal Answer: 2211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -450 - 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 181 from -450: -450 - 181 = -631.\n</reasoning>\nFinal Answer: -631"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 35 + 25 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×35=315 and 25×13=325, then add: 640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 4/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (4/10) = (20/7) × (10/4) = 50/7.\n</reasoning>\nFinal Answer: 50/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 96 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 161 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 161 × (1 + 70/100) = 161 × 1.7 = 273.7.\n</reasoning>\nFinal Answer: 273.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 20 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 17x = 34. Divide by 17: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "112 is what percentage of 194?"
},
{
"role": "assistant",
"content": "<reasoning>\n(112/194) × 100 = 57.732%.\n</reasoning>\nFinal Answer: 57.732%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -330 × 304"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -330 by 304: -330 × 304 = -100320.\n</reasoning>\nFinal Answer: -100320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -614 × 274"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -614 by 274: -614 × 274 = -168236.\n</reasoning>\nFinal Answer: -168236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3394. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3394 × 18/100 = 610.92. Total = 3394 + 610.92 = 4004.92.\n</reasoning>\nFinal Answer: 4004.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 243 - 872"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 872 from 243: 243 - 872 = -629.\n</reasoning>\nFinal Answer: -629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44603 at 20% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44603 × 20 × 1 / 100 = 8920.6.\n</reasoning>\nFinal Answer: 8920.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×48)/12 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 3 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 658 mod 364"
},
{
"role": "assistant",
"content": "<reasoning>\n658 mod 364: 658 = 364 × 1 + 294, so remainder = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 140 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 140 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 8 + 36 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×8=88 and 36×2=72, then add: 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 17 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 17 = 102 worker-days. New time = 102 / 3 = 34.0 days.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:9 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/9, so B = A × (9/25) = 66 × 9/25 = 23.76.\n</reasoning>\nFinal Answer: 23.76"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 50, 76, 65, 27, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 13 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 14, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (37-1)×14 = 2 + 504 = 506.\n</reasoning>\nFinal Answer: 506"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 69, 3, 65, 71, 33, 31, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 428/8 = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28893 at 13% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28893 × 13 × 2 / 100 = 7512.18.\n</reasoning>\nFinal Answer: 7512.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 9 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 17/60 = 9.2833 hours. Distance = speed × time = 153 × 9.2833 = 1420.35 km.\n</reasoning>\nFinal Answer: 1420.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 36, 33, 53, 4, 49, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 4 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 7, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (12-1)×7 = 12 + 77 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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