messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 2:17 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/17, so B = A × (17/2) = 1 × 17/2 = 8.5.\n</reasoning>\nFinal Answer: 8.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "List all positive factors of 70."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 70: factors are [1, 2, 5, 7, 10, 14, 35, 70].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 10, 14, 35, 70]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 4 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(4+88) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 8, 10, 11, 17] and B = [1, 4, 6, 7, 10, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8, 11].\n</reasoning>\nFinal Answer: [2, 8, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 8) * (15 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+8)=38, (15-4)=11, then 38×11=418.\n</reasoning>\nFinal Answer: 418"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 35) * (18 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+35)=76, (18-49)=-31, then 76×-31=-2356.\n</reasoning>\nFinal Answer: -2356"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 141 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 141 + 23 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 879 - 841"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 841 from 879: 879 - 841 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -42 = -258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 9x = -216. Divide by 9: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 34 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 - 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/19 - 9/19. LCD = 19. Result = 4/19.\n</reasoning>\nFinal Answer: 4/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×9)/1 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 5 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 13/60 = 5.2167 hours. Distance = speed × time = 77 × 5.2167 = 401.6833 km.\n</reasoning>\nFinal Answer: 401.6833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 5 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 4. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 4² = π × 16 ≈ 50.2655.\n</reasoning>\nFinal Answer: 50.2655"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 10 = 670.\n</reasoning>\nFinal Answer: 670"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [13, 16, 18] and B = [1, 3, 9, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13].\n</reasoning>\nFinal Answer: [13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -196 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from -196: -196 - 2 = -198.\n</reasoning>\nFinal Answer: -198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 * 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/16) × (2/3) = (14/48) = 7/24 after simplification.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 + 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/20 + 6/9. Common denominator = 60. Result = 67/60.\n</reasoning>\nFinal Answer: 67/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 88, 52, 86, 25, 1, 56, 56, 45, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 1 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [39, 28, 79, 43, 52, 14, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {39: 1, 28: 1, 79: 1, 43: 1, 52: 2, 14: 1}. Most frequent: 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 121 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -852 - 881"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 881 from -852: -852 - 881 = -1733.\n</reasoning>\nFinal Answer: -1733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:27 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/27, so B = A × (27/49) = 20 × 27/49 = 11.0204.\n</reasoning>\nFinal Answer: 11.0204"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 10% of 900?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 900 = (10/100) × 900 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 813 + 440"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 813 and 440: 813 + 440 = 1253.\n</reasoning>\nFinal Answer: 1253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 13, 14] and B = [2, 6, 7, 9], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 13, 14].\n</reasoning>\nFinal Answer: [8, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 688 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 688 × (1 + 100/100) = 688 × 2.0 = 1376.0.\n</reasoning>\nFinal Answer: 1376.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 4/17. LCD = 85. Result = 14/85.\n</reasoning>\nFinal Answer: 14/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 96, 74, 48, 31, 28, 30, 73, 73, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 24, 28, 30, 31, 48, 73, 73, 74, 96]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -235 ÷ 693"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -235 by 693. -235 ÷ 693 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 46, 47, 48, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 1. Next term = 49 + 1 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 44 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 188 km/h. How far does it travel in 7 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 3/60 = 7.0500 hours. Distance = speed × time = 188 × 7.0500 = 1325.4 km.\n</reasoning>\nFinal Answer: 1325.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×31)/1 = 1457.\n</reasoning>\nFinal Answer: 1457"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 + 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/18 + 19/9. Common denominator = 9. Result = 29/9.\n</reasoning>\nFinal Answer: 29/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 40 = 1096"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 22x = 1056. Divide by 22: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 31 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 42+961-47=956.\n</reasoning>\nFinal Answer: 956"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 7 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 41+49-26=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 991 + 959"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 991 and 959: 991 + 959 = 1950.\n</reasoning>\nFinal Answer: 1950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 69, 9, 59, 62, 25, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 9 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 50 + -862"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 50 and -862: 50 + -862 = -812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 - 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/9 - 19/12. LCD = 12. Result = 5/12.\n</reasoning>\nFinal Answer: 5/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 88 apples and buys 74 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 88 + 74 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 713 km apart. Their speeds are 49 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+99=148 km/h. Time = 713/148 = 4.8176 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 58, 1, 36, 19, 43, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 19, 36, 43, 58, 61, 98]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 48 × -935"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 48 by -935: 48 × -935 = -44880.\n</reasoning>\nFinal Answer: -44880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:17 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/17, so B = A × (17/29) = 28 × 17/29 = 16.4138.\n</reasoning>\nFinal Answer: 16.4138"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 + 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/2 + 17/12. Common denominator = 12. Result = 23/12.\n</reasoning>\nFinal Answer: 23/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 17 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 17 = 136 worker-days. New time = 136 / 19 = 7.1579 days.\n</reasoning>\nFinal Answer: 7.1579"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 58, 95, 48, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 364/5 = 72.8.\n</reasoning>\nFinal Answer: 72.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 157 and 170."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(157,170) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 4, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (47-1)×4 = 46 + 184 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 611 ÷ 428"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 611 by 428. 611 ÷ 428 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 453 - -444"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -444 from 453: 453 - -444 = 897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 89 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 89 × 28 = 2492.\n</reasoning>\nFinal Answer: 2492"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -41 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 11x = 121. Divide by 11: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 49 + 50 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×49=49 and 50×4=200, then add: 249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 70, 7, 36, 43, 92, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 431/7 = 61.5714.\n</reasoning>\nFinal Answer: 61.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 12 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 12 = 36 worker-days. New time = 36 / 11 = 3.2727 days.\n</reasoning>\nFinal Answer: 3.2727"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -520 ÷ 59"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -520 by 59. -520 ÷ 59 = -9 (integer division).\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 40) * (14 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+40)=57, (14-34)=-20, then 57×-20=-1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2425. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2425 × 12/100 = 291.0. Total = 2425 + 291.0 = 2716.0.\n</reasoning>\nFinal Answer: 2716.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×-120 = 2704. √discriminant = 52. x = (-(-28) ± 52) / (2×4). Solutions: x = -3 or x = 10.\n</reasoning>\nFinal Answer: x = -3 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 10/13. Common denominator = 156. Result = 211/156.\n</reasoning>\nFinal Answer: 211/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 520 mod 219"
},
{
"role": "assistant",
"content": "<reasoning>\n520 mod 219: 520 = 219 × 2 + 82, so remainder = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 157 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 157 + 103 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -417 + -103"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -417 and -103: -417 + -103 = -520.\n</reasoning>\nFinal Answer: -520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 3) * (41 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+3)=23, (41-8)=33, then 23×33=759.\n</reasoning>\nFinal Answer: 759"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 14 * 24 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×24=336, then 1+336-20=317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 6 * 22 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×22=132, then 4+132-18=118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 27 * 44 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×44=1188, then 45+1188-22=1211.\n</reasoning>\nFinal Answer: 1211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -535 × 880"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -535 by 880: -535 × 880 = -470800.\n</reasoning>\nFinal Answer: -470800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 827 × 142"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 827 by 142: 827 × 142 = 117434.\n</reasoning>\nFinal Answer: 117434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 178 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 + 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/6 + 8/2. Common denominator = 1. Result = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 3/7. Common denominator = 105. Result = 122/105.\n</reasoning>\nFinal Answer: 122/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 2, 82, 64, 16, 77, 84, 27, 84, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 2: 1, 82: 1, 64: 1, 16: 1, 77: 1, 84: 2, 27: 1, 50: 1}. Most frequent: 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30359 at 11% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30359 × 11 × 7 / 100 = 23376.43.\n</reasoning>\nFinal Answer: 23376.43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 70 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 69 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 9, 27, 81, 243]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 3 and ratio 3. Next term = 243 × 3 = 729.\n</reasoning>\nFinal Answer: 729"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 + 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/8 + 16/9. Common denominator = 36. Result = 145/36.\n</reasoning>\nFinal Answer: 145/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:22 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/22, so B = A × (22/42) = 77 × 22/42 = 40.3333.\n</reasoning>\nFinal Answer: 40.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 70, 90, 110, 130]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 20. Next term = 130 + 20 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 107 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 107 + 99 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 375 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 375 × (1 - 40/100) = 375 × 0.6 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 584 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 584 × (1 - 15/100) = 584 × 0.85 = 496.4.\n</reasoning>\nFinal Answer: 496.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 - 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/4 - 16/4. LCD = 4. Result = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 141 + -511"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 141 and -511: 141 + -511 = -370.\n</reasoning>\nFinal Answer: -370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [45, 60, 32, 43, 16, 6, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 217/7 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:16 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/16, so B = A × (16/42) = 22 × 16/42 = 8.381.\n</reasoning>\nFinal Answer: 8.381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 9 - -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -229 from 9: 9 - -229 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 667?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 667 = (75/100) × 667 = 500.25.\n</reasoning>\nFinal Answer: 500.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 29, 30, 31, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 1. Next term = 32 + 1 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 23 + 23 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×23=828 and 23×6=138, then add: 966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 9, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (39-1)×9 = 24 + 342 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:30 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/30, so B = A × (30/26) = 45 × 30/26 = 51.9231.\n</reasoning>\nFinal Answer: 51.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 149 + -573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 149 and -573: 149 + -573 = -424.\n</reasoning>\nFinal Answer: -424"
}
] | medium | [
"arithmetic",
"computation"
] |
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