messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 7% of 713?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 713 = (7/100) × 713 = 49.91.\n</reasoning>\nFinal Answer: 49.91"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 19 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 72 apples and buys 57 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 72 + 57 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 84 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 45, 37, 31, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 45: 1, 37: 1, 31: 1, 20: 1}. Most frequent: [88, 45, 37, 31, 20].\n</reasoning>\nFinal Answer: [88, 45, 37, 31, 20]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 217 × -375"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 217 by -375: 217 × -375 = -81375.\n</reasoning>\nFinal Answer: -81375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -898 ÷ -12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -898 by -12. -898 ÷ -12 = 74 (integer division).\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×20)/1 = 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 816 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 816 × (1 - 60/100) = 816 × 0.4 = 326.4.\n</reasoning>\nFinal Answer: 326.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:31 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/31, so B = A × (31/29) = 8 × 31/29 = 8.5517.\n</reasoning>\nFinal Answer: 8.5517"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 831 × 522"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 831 by 522: 831 × 522 = 433782.\n</reasoning>\nFinal Answer: 433782"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4739. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4739 × 5/100 = 236.95. Total = 4739 + 236.95 = 4975.95.\n</reasoning>\nFinal Answer: 4975.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 745 mod 111"
},
{
"role": "assistant",
"content": "<reasoning>\n745 mod 111: 745 = 111 × 6 + 79, so remainder = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 807 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 807 × (1 - 15/100) = 807 × 0.85 = 685.95.\n</reasoning>\nFinal Answer: 685.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 30, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 30 + 34 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 35, 19, 32, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 19 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 3, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (40-1)×3 = 15 + 117 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 6 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 39/60 = 6.6500 hours. Distance = speed × time = 95 × 6.6500 = 631.75 km.\n</reasoning>\nFinal Answer: 631.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 3 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 17+9-17=9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 87 and 96."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(87,96) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 925 × -844"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 925 by -844: 925 × -844 = -780700.\n</reasoning>\nFinal Answer: -780700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 6, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (30-1)×6 = 20 + 174 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -68 ÷ 578"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -68 by 578. -68 ÷ 578 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 12 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+12) × 39 = 331.5.\n</reasoning>\nFinal Answer: 331.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 13, 15] and B = [3, 12, 13, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 8, 9, 12, 14].\n</reasoning>\nFinal Answer: [3, 8, 9, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -198 × 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -198 by 2: -198 × 2 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 * 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/18) × (2/9) = (36/162) = 2/9 after simplification.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -15 = -459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 12x = -444. Divide by 12: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 782 × 738"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 782 by 738: 782 × 738 = 577116.\n</reasoning>\nFinal Answer: 577116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 719 mod 748"
},
{
"role": "assistant",
"content": "<reasoning>\n719 mod 748: 719 = 748 × 0 + 719, so remainder = 719.\n</reasoning>\nFinal Answer: 719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1745 at 4% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1745 × 4 × 2 / 100 = 139.6.\n</reasoning>\nFinal Answer: 139.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 36 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 36 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 95 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "5 is what percentage of 637?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/637) × 100 = 0.7849%.\n</reasoning>\nFinal Answer: 0.7849%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 11) * (33 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+11)=44, (33-29)=4, then 44×4=176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 / 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/8) ÷ (13/4) = (18/8) × (4/13) = 9/13.\n</reasoning>\nFinal Answer: 9/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 60, 98, 17, 83, 40, 36, 4, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 60: 1, 98: 1, 17: 1, 83: 1, 40: 1, 36: 1, 4: 1, 3: 1}. Most frequent: [43, 60, 98, 17, 83, 40, 36, 4, 3].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 73, 41, 53, 52, 85, 54, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 426/8 = 53.25.\n</reasoning>\nFinal Answer: 53.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 400 - -212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -212 from 400: 400 - -212 = 612.\n</reasoning>\nFinal Answer: 612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+48) = 2×95 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 38) * (6 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+38)=70, (6-31)=-25, then 70×-25=-1750.\n</reasoning>\nFinal Answer: -1750"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 21, 76, 58, 27, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 27, 58, 71, 76, 90]. Middle value(s) → median = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 3 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 8/60 = 3.1333 hours. Distance = speed × time = 84 × 3.1333 = 263.2 km.\n</reasoning>\nFinal Answer: 263.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:9 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/9, so B = A × (9/29) = 88 × 9/29 = 27.3103.\n</reasoning>\nFinal Answer: 27.3103"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 + 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/7 + 12/20. Common denominator = 35. Result = 26/35.\n</reasoning>\nFinal Answer: 26/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 30 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+30) × 6 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 934 km apart. Their speeds are 90 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+65=155 km/h. Time = 934/155 = 6.0258 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+73) = 2×105 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/5 = 0.2.\n</reasoning>\nFinal Answer: 0.2"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 490 + 756"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 490 and 756: 490 + 756 = 1246.\n</reasoning>\nFinal Answer: 1246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 361 km apart. Their speeds are 106 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+69=175 km/h. Time = 361/175 = 2.0629 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:31 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/31, so B = A × (31/30) = 26 × 31/30 = 26.8667.\n</reasoning>\nFinal Answer: 26.8667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 848 - -893"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -893 from 848: 848 - -893 = 1741.\n</reasoning>\nFinal Answer: 1741"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 14 * 19 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×19=266, then 13+266-19=260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 - 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/11 - 11/19. LCD = 209. Result = -83/209.\n</reasoning>\nFinal Answer: -83/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = -210. Divide by 30: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 8 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 19/60 = 8.3167 hours. Distance = speed × time = 116 × 8.3167 = 964.7333 km.\n</reasoning>\nFinal Answer: 964.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 * 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/7) × (1/17) = (19/119) = 19/119 after simplification.\n</reasoning>\nFinal Answer: 19/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:22 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/22, so B = A × (22/46) = 83 × 22/46 = 39.6957.\n</reasoning>\nFinal Answer: 39.6957"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -8 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 15x = 15. Divide by 15: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:32 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/32, so B = A × (32/31) = 91 × 32/31 = 93.9355.\n</reasoning>\nFinal Answer: 93.9355"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 215 × 939"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 215 by 939: 215 × 939 = 201885.\n</reasoning>\nFinal Answer: 201885"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×42)/6 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 39, 52, 21, 99, 98, 52, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 29, 39, 52, 52, 66, 98, 99]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -515 - 246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 246 from -515: -515 - 246 = -761.\n</reasoning>\nFinal Answer: -761"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 746 ÷ -508"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 746 by -508. 746 ÷ -508 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:49 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/49, so B = A × (49/10) = 52 × 49/10 = 254.8.\n</reasoning>\nFinal Answer: 254.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 810 ÷ 831"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 810 by 831. 810 ÷ 831 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 152 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 14, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (12-1)×14 = 23 + 154 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:26 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/26, so B = A × (26/2) = 22 × 26/2 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 41) * (17 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+41)=54, (17-9)=8, then 54×8=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/5) × (10/7) = (40/35) = 8/7 after simplification.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = -21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 23 = -494"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 11x = -517. Divide by 11: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 368 ÷ -696"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 368 by -696. 368 ÷ -696 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -30 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 18x = 288. Divide by 18: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 40, 15, 87, 25, 82, 39, 45, 1, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 4, 15, 25, 31, 39, 40, 45, 82, 87]. Middle value(s) → median = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 1 = -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 18x = -594. Divide by 18: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 42, 24, 78, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 245/5 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 51 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 51 × (1 - 15/100) = 51 × 0.85 = 43.35.\n</reasoning>\nFinal Answer: 43.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -323 + 183"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -323 and 183: -323 + 183 = -140.\n</reasoning>\nFinal Answer: -140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 29 = 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 8x = 152. Divide by 8: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 2 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 38/60 = 2.6333 hours. Distance = speed × time = 91 × 2.6333 = 239.6333 km.\n</reasoning>\nFinal Answer: 239.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 91 = 3822.\n</reasoning>\nFinal Answer: 3822"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/5 - 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/5 - 16/18. LCD = 45. Result = 14/45.\n</reasoning>\nFinal Answer: 14/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 26. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 26 ≈ 163.3628.\n</reasoning>\nFinal Answer: 163.3628"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:42 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/42, so B = A × (42/34) = 68 × 42/34 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 138 apples and buys 8 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 138 + 8 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 + 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/4 + 12/3. Common denominator = 2. Result = 9/2.\n</reasoning>\nFinal Answer: 9/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -495 + -991"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -495 and -991: -495 + -991 = -1486.\n</reasoning>\nFinal Answer: -1486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -638 mod -2"
},
{
"role": "assistant",
"content": "<reasoning>\n-638 mod -2: -638 = -2 × 319 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 87, 32, 68, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 344/5 = 68.8.\n</reasoning>\nFinal Answer: 68.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16633 at 15% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16633 × 15 × 5 / 100 = 12474.75.\n</reasoning>\nFinal Answer: 12474.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (21)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 21² - 4×3×36 = 9. √discriminant = 3. x = (-(21) ± 3) / (2×3). Solutions: x = -3 or x = -4.\n</reasoning>\nFinal Answer: x = -3 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 24, 1, 32, 2, 72, 38, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 24, 30, 32, 38, 67, 72]. Middle value(s) → median = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -894 × -405"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -894 by -405: -894 × -405 = 362070.\n</reasoning>\nFinal Answer: 362070"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 240 + -775"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 240 and -775: 240 + -775 = -535.\n</reasoning>\nFinal Answer: -535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4936 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4936 × 10 × 7 / 100 = 3455.2.\n</reasoning>\nFinal Answer: 3455.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 27) * (10 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+27)=41, (10-36)=-26, then 41×-26=-1066.\n</reasoning>\nFinal Answer: -1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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