messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 7, 13, 19, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 6. Next term = 25 + 6 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4742. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4742 × 12/100 = 569.04. Total = 4742 + 569.04 = 5311.04.\n</reasoning>\nFinal Answer: 5311.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 3 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 1/60 = 3.0167 hours. Distance = speed × time = 51 × 3.0167 = 153.85 km.\n</reasoning>\nFinal Answer: 153.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 5 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+5) × 12 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 792 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 792 × (1 - 15/100) = 792 × 0.85 = 673.2.\n</reasoning>\nFinal Answer: 673.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 56 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 56 × 77 = 4312.\n</reasoning>\nFinal Answer: 4312"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 70, 37, 87, 19, 50, 72, 66, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 70: 1, 37: 1, 87: 1, 19: 1, 50: 1, 72: 1, 66: 1, 30: 1}. Most frequent: [63, 70, 37, 87, 19, 50, 72, 66, 30].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 383 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 383 × (1 - 75/100) = 383 × 0.25 = 95.75.\n</reasoning>\nFinal Answer: 95.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 724 × -322"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 724 by -322: 724 × -322 = -233128.\n</reasoning>\nFinal Answer: -233128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 803 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 803 × (1 - 65/100) = 803 × 0.35 = 281.05.\n</reasoning>\nFinal Answer: 281.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 20) * (17 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+20)=54, (17-11)=6, then 54×6=324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 13 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 13 = 91 worker-days. New time = 91 / 17 = 5.3529 days.\n</reasoning>\nFinal Answer: 5.3529"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -26 = -519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 17x = -493. Divide by 17: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 * 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/6) × (1/14) = (13/84) = 13/84 after simplification.\n</reasoning>\nFinal Answer: 13/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1071. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1071 × 5/100 = 53.55. Total = 1071 + 53.55 = 1124.55.\n</reasoning>\nFinal Answer: 1124.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 85, 77, 40, 2, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 3, 40, 70, 77, 85]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:38 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/38, so B = A × (38/25) = 88 × 38/25 = 133.76.\n</reasoning>\nFinal Answer: 133.76"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 254 km apart. Their speeds are 76 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+109=185 km/h. Time = 254/185 = 1.373 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 90, 40, 8, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 90: 1, 40: 1, 8: 1, 86: 1}. Most frequent: [44, 90, 40, 8, 86].\n</reasoning>\nFinal Answer: [44, 90, 40, 8, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 33 + 5 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×33=891 and 5×29=145, then add: 1036.\n</reasoning>\nFinal Answer: 1036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 29 = 1261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 28x = 1232. Divide by 28: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 131 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 131 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 16, 18] and B = [1, 5, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 5, 7, 13, 16, 18].\n</reasoning>\nFinal Answer: [1, 2, 5, 7, 13, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 40% of 23?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 23 = (40/100) × 23 = 9.2.\n</reasoning>\nFinal Answer: 9.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 50% of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 488 = (50/100) × 488 = 244.0.\n</reasoning>\nFinal Answer: 244.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 235 mod 684"
},
{
"role": "assistant",
"content": "<reasoning>\n235 mod 684: 235 = 684 × 0 + 235, so remainder = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 41 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 20+1681-36=1665.\n</reasoning>\nFinal Answer: 1665"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -276. Divide by 6: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 66 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 66 × (1 - 100/100) = 66 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 5 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 7+25-50=-18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -41 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 3x = 120. Divide by 3: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 - 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/5 - 13/17. LCD = 85. Result = -31/85.\n</reasoning>\nFinal Answer: -31/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-6)x + (-108) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -6² - 4×2×-108 = 900. √discriminant = 30. x = (-(-6) ± 30) / (2×2). Solutions: x = 9 or x = -6.\n</reasoning>\nFinal Answer: x = 9 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 69 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 69 × 11 = 759.\n</reasoning>\nFinal Answer: 759"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×36)/2 = 468.\n</reasoning>\nFinal Answer: 468"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 861 - -796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -796 from 861: 861 - -796 = 1657.\n</reasoning>\nFinal Answer: 1657"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 52, 93, 7, 73, 27, 18, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 18, 27, 29, 52, 73, 87, 93]. Middle value(s) → median = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 4, 4, 93, 39, 61, 75, 2, 42, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 2 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 27 * 45 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×45=1215, then 47+1215-6=1256.\n</reasoning>\nFinal Answer: 1256"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 557 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 557 × (1 + 45/100) = 557 × 1.45 = 807.65.\n</reasoning>\nFinal Answer: 807.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 37 + 29 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×37=925 and 29×46=1334, then add: 2259.\n</reasoning>\nFinal Answer: 2259"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 257 + 673"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 257 and 673: 257 + 673 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 21 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 8+441-5=444.\n</reasoning>\nFinal Answer: 444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 21 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 21 = 189 worker-days. New time = 189 / 11 = 17.1818 days.\n</reasoning>\nFinal Answer: 17.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:41 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/41, so B = A × (41/25) = 13 × 41/25 = 21.32.\n</reasoning>\nFinal Answer: 21.32"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 - 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/15 - 5/13. LCD = 13. Result = 8/13.\n</reasoning>\nFinal Answer: 8/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 16 = 752"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 23x = 736. Divide by 23: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 932 - -975"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -975 from 932: 932 - -975 = 1907.\n</reasoning>\nFinal Answer: 1907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 30 = -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 19x = -190. Divide by 19: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 31 × 668"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 31 by 668: 31 × 668 = 20708.\n</reasoning>\nFinal Answer: 20708"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 136 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 136 × (1 - 3/100) = 136 × 0.97 = 131.92.\n</reasoning>\nFinal Answer: 131.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×39)/1 = 1794.\n</reasoning>\nFinal Answer: 1794"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -272 - -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -447 from -272: -272 - -447 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 18 = -154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 4x = -172. Divide by 4: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2224. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2224 × 18/100 = 400.32. Total = 2224 + 400.32 = 2624.32.\n</reasoning>\nFinal Answer: 2624.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:43 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/43, so B = A × (43/44) = 84 × 43/44 = 82.0909.\n</reasoning>\nFinal Answer: 82.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 191 apples and buys 9 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 191 + 9 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 5 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 1+25-25=1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 9, 12, 15] and B = [1, 10, 12, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 7, 8, 9, 10, 14, 15, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "302 is what percentage of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n(302/835) × 100 = 36.1677%.\n</reasoning>\nFinal Answer: 36.1677%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 36 * 12 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×12=432, then 23+432-10=445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 17) * (29 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+17)=61, (29-25)=4, then 61×4=244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -232 - -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from -232: -232 - -50 = -182.\n</reasoning>\nFinal Answer: -182"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 532 ÷ -965"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 532 by -965. 532 ÷ -965 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 7 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 9/60 = 7.1500 hours. Distance = speed × time = 167 × 7.1500 = 1194.05 km.\n</reasoning>\nFinal Answer: 1194.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4913. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4913 × 18/100 = 884.34. Total = 4913 + 884.34 = 5797.34.\n</reasoning>\nFinal Answer: 5797.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [17, 44, 88, 100, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 17 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/7) ÷ (20/20) = (12/7) × (20/20) = 12/7.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 18 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 18 = 162 worker-days. New time = 162 / 4 = 40.5 days.\n</reasoning>\nFinal Answer: 40.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 - 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/8 - 17/18. LCD = 72. Result = 31/72.\n</reasoning>\nFinal Answer: 31/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 100 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 100 + 134 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 33 = 357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 27x = 324. Divide by 27: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -20 = 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 2x = 26. Divide by 2: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 + 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/11 + 20/11. Common denominator = 11. Result = 36/11.\n</reasoning>\nFinal Answer: 36/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 34 * 49 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×49=1666, then 42+1666-47=1661.\n</reasoning>\nFinal Answer: 1661"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 7 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+7) × 15 = 307.5.\n</reasoning>\nFinal Answer: 307.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:40 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/40, so B = A × (40/21) = 82 × 40/21 = 156.1905.\n</reasoning>\nFinal Answer: 156.1905"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -1 = -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 2x = -68. Divide by 2: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 58, 3, 20, 10, 81, 81, 56, 51, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 58: 1, 3: 1, 20: 1, 10: 1, 81: 2, 56: 1, 51: 1, 50: 1}. Most frequent: 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 100% of 939?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 939 = (100/100) × 939 = 939.0.\n</reasoning>\nFinal Answer: 939.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 122 apples and buys 55 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 122 + 55 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 - 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/18 - 15/5. LCD = 9. Result = -17/9.\n</reasoning>\nFinal Answer: -17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 84 = 3864.\n</reasoning>\nFinal Answer: 3864"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 6 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 6 = 114 worker-days. New time = 114 / 4 = 28.5 days.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+24) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 21 = -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 16x = -304. Divide by 16: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 40 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 11x = 77. Divide by 11: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3640. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3640 × 28/100 = 1019.2. Total = 3640 + 1019.2 = 4659.2.\n</reasoning>\nFinal Answer: 4659.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 49, 92, 86, 65, 47, 83, 19, 78, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 710/10 = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 85, 30, 95, 47, 48, 68, 89, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 596/9 = 66.2222.\n</reasoning>\nFinal Answer: 66.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -787 - 798"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 798 from -787: -787 - 798 = -1585.\n</reasoning>\nFinal Answer: -1585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -321 × 166"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -321 by 166: -321 × 166 = -53286.\n</reasoning>\nFinal Answer: -53286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 88 = 8184.\n</reasoning>\nFinal Answer: 8184"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 39 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+39) × 10 = 400.0.\n</reasoning>\nFinal Answer: 400.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 55 = 1540.\n</reasoning>\nFinal Answer: 1540"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 47 = -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 20x = -260. Divide by 20: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -32 × 809"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -32 by 809: -32 × 809 = -25888.\n</reasoning>\nFinal Answer: -25888"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 4 * 47 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×47=188, then 34+188-42=180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 44, 38, 86, 97, 81, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 44: 1, 38: 1, 86: 1, 97: 1, 81: 1, 75: 1}. Most frequent: [63, 44, 38, 86, 97, 81, 75].\n</reasoning>\nFinal Answer: [63, 44, 38, 86, 97, 81... | easy | [
"statistics",
"mode"
] |
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