messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 1/14 - 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/14 - 13/12. LCD = 84. Result = -85/84.\n</reasoning>\nFinal Answer: -85/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 773 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 773 × (1 + 7/100) = 773 × 1.07 = 827.11.\n</reasoning>\nFinal Answer: 827.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 56 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 56 + 173 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 76 apples and buys 89 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 76 + 89 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 194 - 756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 756 from 194: 194 - 756 = -562.\n</reasoning>\nFinal Answer: -562"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 528?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 528 = (10/100) × 528 = 52.8.\n</reasoning>\nFinal Answer: 52.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 950 × -152"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 950 by -152: 950 × -152 = -144400.\n</reasoning>\nFinal Answer: -144400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 48 = 3456.\n</reasoning>\nFinal Answer: 3456"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -509 + -607"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -509 and -607: -509 + -607 = -1116.\n</reasoning>\nFinal Answer: -1116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3825. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3825 × 5/100 = 191.25. Total = 3825 + 191.25 = 4016.25.\n</reasoning>\nFinal Answer: 4016.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -303 + -140"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -303 and -140: -303 + -140 = -443.\n</reasoning>\nFinal Answer: -443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 10 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 9 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 10+81-32=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 31 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 31 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 38, 27, 66, 67, 58, 48, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 27, 38, 41, 48, 58, 66, 67]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "184 is what percentage of 213?"
},
{
"role": "assistant",
"content": "<reasoning>\n(184/213) × 100 = 86.385%.\n</reasoning>\nFinal Answer: 86.385%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 40 + 2 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×40=1120 and 2×45=90, then add: 1210.\n</reasoning>\nFinal Answer: 1210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 5 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+5) × 5 = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 91, 17, 92, 68, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 38, 68, 90, 91, 92]. Middle value(s) → median = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 69, 40, 45, 49, 98, 66, 8, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 40, 45, 49, 66, 68, 68, 69, 98]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 24, 85, 48, 98, 55, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 24: 1, 85: 1, 48: 1, 98: 1, 55: 1, 2: 1}. Most frequent: [43, 24, 85, 48, 98, 55, 2].\n</reasoning>\nFinal Answer: [43, 24, 85, 48, 98, 55, 2... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 8 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 1/60 = 8.0167 hours. Distance = speed × time = 54 × 8.0167 = 432.9 km.\n</reasoning>\nFinal Answer: 432.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 16 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 16 = 112 worker-days. New time = 112 / 2 = 56.0 days.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 2 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 29+4-8=25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -891 + 332"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -891 and 332: -891 + 332 = -559.\n</reasoning>\nFinal Answer: -559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 30 + 24 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×30=1140 and 24×38=912, then add: 2052.\n</reasoning>\nFinal Answer: 2052"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:43 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/43, so B = A × (43/21) = 50 × 43/21 = 102.381.\n</reasoning>\nFinal Answer: 102.381"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:10 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/10, so B = A × (10/15) = 2 × 10/15 = 1.3333.\n</reasoning>\nFinal Answer: 1.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 11, 98, 80, 32, 4, 45, 27, 88, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 463/10 = 46.3.\n</reasoning>\nFinal Answer: 46.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -952 mod 552"
},
{
"role": "assistant",
"content": "<reasoning>\n-952 mod 552: -952 = 552 × -2 + 152, so remainder = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 + 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/14 + 9/19. Common denominator = 38. Result = 37/38.\n</reasoning>\nFinal Answer: 37/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 35, 67, 15, 94, 37, 81, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 15 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [40, 35, 75, 80, 72, 1, 28, 2, 62, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 1 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:26 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/26, so B = A × (26/13) = 75 × 26/13 = 150.0.\n</reasoning>\nFinal Answer: 150.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 80% of 239?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 239 = (80/100) × 239 = 191.2.\n</reasoning>\nFinal Answer: 191.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -30 = -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 5x = -155. Divide by 5: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 / 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/3) ÷ (14/2) = (18/3) × (2/14) = 6/7.\n</reasoning>\nFinal Answer: 6/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 19 = -31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 1x = -50. Divide by 1: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 30% of 167?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 167 = (30/100) × 167 = 50.1.\n</reasoning>\nFinal Answer: 50.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 9 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+9) × 14 = 175.0.\n</reasoning>\nFinal Answer: 175.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "47 is what percentage of 229?"
},
{
"role": "assistant",
"content": "<reasoning>\n(47/229) × 100 = 20.524%.\n</reasoning>\nFinal Answer: 20.524%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 8 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 17x = 187. Divide by 17: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -48 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 3x = 117. Divide by 3: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 34, 59, 27, 74, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 27 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 74, 11, 97, 57, 31, 41, 26, 8, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 502/10 = 50.2.\n</reasoning>\nFinal Answer: 50.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 47 = 846.0.\n</reasoning>\nFinal Answer: 846.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -680 ÷ 959"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -680 by 959. -680 ÷ 959 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -10 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 10x = -180. Divide by 10: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:5 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/5, so B = A × (5/18) = 31 × 5/18 = 8.6111.\n</reasoning>\nFinal Answer: 8.6111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 12, 15, 18] and B = [2, 5, 6, 9, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 9, 12, 14, 15, 18].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 9, 12, 14, 15, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "217 is what percentage of 264?"
},
{
"role": "assistant",
"content": "<reasoning>\n(217/264) × 100 = 82.197%.\n</reasoning>\nFinal Answer: 82.197%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 477 × -21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 477 by -21: 477 × -21 = -10017.\n</reasoning>\nFinal Answer: -10017"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×36)/4 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 82 = 3444.\n</reasoning>\nFinal Answer: 3444"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 20 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 13+400-20=393.\n</reasoning>\nFinal Answer: 393"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 + 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/7 + 18/17. Common denominator = 119. Result = 415/119.\n</reasoning>\nFinal Answer: 415/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (15/8) = (75/48) = 25/16 after simplification.\n</reasoning>\nFinal Answer: 25/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+43) = 2×53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,34) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 23 × 40/7 = 131.4286.\n</reasoning>\nFinal Answer: 131.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 344 - -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -178 from 344: 344 - -178 = 522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+71) = 2×160 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 65 = 2925.0.\n</reasoning>\nFinal Answer: 2925.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 6 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 42/60 = 6.7000 hours. Distance = speed × time = 55 × 6.7000 = 368.5 km.\n</reasoning>\nFinal Answer: 368.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:1 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/1, so B = A × (1/10) = 94 × 1/10 = 9.4.\n</reasoning>\nFinal Answer: 9.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 977 × 151"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 977 by 151: 977 × 151 = 147527.\n</reasoning>\nFinal Answer: 147527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -625 × 253"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -625 by 253: -625 × 253 = -158125.\n</reasoning>\nFinal Answer: -158125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 144 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 144 × (1 + 75/100) = 144 × 1.75 = 252.0.\n</reasoning>\nFinal Answer: 252.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 4^3"
},
{
"role": "assistant",
"content": "<reasoning>\n4^3 = 4 × 4 × 4 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Simplify: 7/10 / 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/10) ÷ (6/9) = (7/10) × (9/6) = 21/20.\n</reasoning>\nFinal Answer: 21/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 42 = 653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 13x = 611. Divide by 13: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 30 + 31 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×30=930 and 31×21=651, then add: 1581.\n</reasoning>\nFinal Answer: 1581"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 5 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 49/60 = 5.8167 hours. Distance = speed × time = 72 × 5.8167 = 418.8 km.\n</reasoning>\nFinal Answer: 418.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 78 = 1404.\n</reasoning>\nFinal Answer: 1404"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -36 = -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 2x = -34. Divide by 2: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 74 = 111.0.\n</reasoning>\nFinal Answer: 111.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 27 = 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 21x = 882. Divide by 21: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -511 × 929"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -511 by 929: -511 × 929 = -474719.\n</reasoning>\nFinal Answer: -474719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 171 + 349"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 171 and 349: 171 + 349 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 70 = 3710.\n</reasoning>\nFinal Answer: 3710"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 31 + 35 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×31=620 and 35×40=1400, then add: 2020.\n</reasoning>\nFinal Answer: 2020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+71) = 2×146 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 48 * 24 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×24=1152, then 15+1152-9=1158.\n</reasoning>\nFinal Answer: 1158"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 10% of 478?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 478 = (10/100) × 478 = 47.8.\n</reasoning>\nFinal Answer: 47.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 222 mod 711"
},
{
"role": "assistant",
"content": "<reasoning>\n222 mod 711: 222 = 711 × 0 + 222, so remainder = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 75, 8, 68, 34, 17, 58, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 75: 1, 8: 1, 68: 1, 34: 1, 17: 1, 58: 1, 45: 1}. Most frequent: [55, 75, 8, 68, 34, 17, 58, 45].\n</reasoning>\nFinal Answer: [55, 75, 8,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 11 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 11 × 27 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 82 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 82 + 82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 41) * (22 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+41)=89, (22-20)=2, then 89×2=178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 158 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 158 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 32, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 32 + 39 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 48 * 42 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×42=2016, then 41+2016-40=2017.\n</reasoning>\nFinal Answer: 2017"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -701 ÷ 801"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -701 by 801. -701 ÷ 801 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 428 km apart. Their speeds are 69 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+58=127 km/h. Time = 428/127 = 3.3701 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 60 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 60 × 32 = 960.0.\n</reasoning>\nFinal Answer: 960.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 56 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 46 + 27 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×46=184 and 27×14=378, then add: 562.\n</reasoning>\nFinal Answer: 562"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 87 and 171."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(87,171) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 742 - -359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -359 from 742: 742 - -359 = 1101.\n</reasoning>\nFinal Answer: 1101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 290 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 290 × (1 - 65/100) = 290 × 0.35 = 101.5.\n</reasoning>\nFinal Answer: 101.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
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