messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 19/2 / 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/2) ÷ (10/10) = (19/2) × (10/10) = 19/2.\n</reasoning>\nFinal Answer: 19/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -2 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 16x = -192. Divide by 16: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:43 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/43, so B = A × (43/46) = 93 × 43/46 = 86.9348.\n</reasoning>\nFinal Answer: 86.9348"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 276 ÷ -608"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 276 by -608. 276 ÷ -608 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:31 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/31, so B = A × (31/33) = 88 × 31/33 = 82.6667.\n</reasoning>\nFinal Answer: 82.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 10 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 14+100-30=84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4803. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4803 × 28/100 = 1344.84. Total = 4803 + 1344.84 = 6147.84.\n</reasoning>\nFinal Answer: 6147.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 12, 16] and B = [2, 5, 6, 7, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 187."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,187) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 309 × 743"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 309 by 743: 309 × 743 = 229587.\n</reasoning>\nFinal Answer: 229587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -25 = 129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 7x = 154. Divide by 7: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 - 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/19 - 18/2. LCD = 19. Result = -159/19.\n</reasoning>\nFinal Answer: -159/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 150 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 150 + 19 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 67, 24, 4, 57, 39, 39, 78, 54, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 4 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -277 ÷ -153"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -277 by -153. -277 ÷ -153 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 31, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 31 + 39 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 60, 66, 80, 7, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 16, 60, 66, 80, 96]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -670 × -395"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -670 by -395: -670 × -395 = 264650.\n</reasoning>\nFinal Answer: 264650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 38 + 50 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×38=1406 and 50×12=600, then add: 2006.\n</reasoning>\nFinal Answer: 2006"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [10, 18, 19] and B = [3, 4, 5, 9, 11, 15, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 9, 10, 11, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, 5, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 52, 77, 48, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 313/5 = 62.6.\n</reasoning>\nFinal Answer: 62.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -155 × -222"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -155 by -222: -155 × -222 = 34410.\n</reasoning>\nFinal Answer: 34410"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -226 × 599"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -226 by 599: -226 × 599 = -135374.\n</reasoning>\nFinal Answer: -135374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 74?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 74 = (12/100) × 74 = 8.88.\n</reasoning>\nFinal Answer: 8.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 / 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/14) ÷ (9/14) = (6/14) × (14/9) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 39) * (17 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+39)=89, (17-8)=9, then 89×9=801.\n</reasoning>\nFinal Answer: 801"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 12 = -634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 19x = -646. Divide by 19: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 356 mod 522"
},
{
"role": "assistant",
"content": "<reasoning>\n356 mod 522: 356 = 522 × 0 + 356, so remainder = 356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 126 - 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 66 from 126: 126 - 66 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 15] and B = [1, 6, 8, 10, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 15].\n</reasoning>\nFinal Answer: [7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 / 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/14) ÷ (13/20) = (5/14) × (20/13) = 50/91.\n</reasoning>\nFinal Answer: 50/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 53 ÷ -971"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 53 by -971. 53 ÷ -971 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 64, 24, 97, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 64: 1, 24: 1, 97: 1, 11: 1}. Most frequent: [54, 64, 24, 97, 11].\n</reasoning>\nFinal Answer: [54, 64, 24, 97, 11]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 82, 75, 3, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 3 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+17) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -795 × 326"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -795 by 326: -795 × 326 = -259170.\n</reasoning>\nFinal Answer: -259170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 351 ÷ -698"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 351 by -698. 351 ÷ -698 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:38 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/38, so B = A × (38/8) = 86 × 38/8 = 408.5.\n</reasoning>\nFinal Answer: 408.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 4 + 13 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×4=8 and 13×47=611, then add: 619.\n</reasoning>\nFinal Answer: 619"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -479 ÷ 128"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -479 by 128. -479 ÷ 128 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 856?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 856 = (65/100) × 856 = 556.4.\n</reasoning>\nFinal Answer: 556.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 66 = 3102.0.\n</reasoning>\nFinal Answer: 3102.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 289 - 399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 399 from 289: 289 - 399 = -110.\n</reasoning>\nFinal Answer: -110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "286 is what percentage of 584?"
},
{
"role": "assistant",
"content": "<reasoning>\n(286/584) × 100 = 48.9726%.\n</reasoning>\nFinal Answer: 48.9726%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 15 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 22+225-12=235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 9, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (41-1)×9 = 6 + 360 = 366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:31 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/31, so B = A × (31/4) = 87 × 31/4 = 674.25.\n</reasoning>\nFinal Answer: 674.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 46 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 18+2116-34=2100.\n</reasoning>\nFinal Answer: 2100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 14, 15, 18] and B = [1, 3, 4, 6, 8, 10, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 13, 14, 15, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 45 + 34 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×45=1125 and 34×29=986, then add: 2111.\n</reasoning>\nFinal Answer: 2111"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 69, 99, 27, 98, 87, 36, 92, 9, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 27, 36, 36, 50, 69, 87, 92, 98, 99]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 16/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 16/14. Common denominator = 63. Result = 128/63.\n</reasoning>\nFinal Answer: 128/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×34)/2 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 696 mod -693"
},
{
"role": "assistant",
"content": "<reasoning>\n696 mod -693: 696 = -693 × -2 + -690, so remainder = -690.\n</reasoning>\nFinal Answer: -690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 15 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+15) × 9 = 103.5.\n</reasoning>\nFinal Answer: 103.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 182 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 182 × (1 + 60/100) = 182 × 1.6 = 291.2.\n</reasoning>\nFinal Answer: 291.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [89, 3, 23, 58, 95, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 23, 54, 58, 89, 95]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -320 + 852"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -320 and 852: -320 + 852 = 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 673 km apart. Their speeds are 41 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+81=122 km/h. Time = 673/122 = 5.5164 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+54) = 2×78 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 142 + 846"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 142 and 846: 142 + 846 = 988.\n</reasoning>\nFinal Answer: 988"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 143 km/h. How far does it travel in 7 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 18/60 = 7.3000 hours. Distance = speed × time = 143 × 7.3000 = 1043.9 km.\n</reasoning>\nFinal Answer: 1043.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 729 mod 154"
},
{
"role": "assistant",
"content": "<reasoning>\n729 mod 154: 729 = 154 × 4 + 113, so remainder = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -46 ÷ -362"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -46 by -362. -46 ÷ -362 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -20 + -951"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -20 and -951: -20 + -951 = -971.\n</reasoning>\nFinal Answer: -971"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -940 + -269"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -940 and -269: -940 + -269 = -1209.\n</reasoning>\nFinal Answer: -1209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+53) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 169 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 169 × (1 + 10/100) = 169 × 1.1 = 185.9.\n</reasoning>\nFinal Answer: 185.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 5, 50, 14, 55, 76, 81, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 10, 14, 50, 55, 65, 76, 81]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 13, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (40-1)×13 = 44 + 507 = 551.\n</reasoning>\nFinal Answer: 551"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 34 = 300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 19x = 266. Divide by 19: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -597 × -606"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -597 by -606: -597 × -606 = 361782.\n</reasoning>\nFinal Answer: 361782"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 4 = 949"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 21x = 945. Divide by 21: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 * 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/1) × (18/13) = (216/13) = 216/13 after simplification.\n</reasoning>\nFinal Answer: 216/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -21 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 7x = 203. Divide by 7: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -44 = -174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 13x = -130. Divide by 13: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "195 is what percentage of 619?"
},
{
"role": "assistant",
"content": "<reasoning>\n(195/619) × 100 = 31.5024%.\n</reasoning>\nFinal Answer: 31.5024%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 57, 26, 80, 20, 79, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 318/7 = 45.4286.\n</reasoning>\nFinal Answer: 45.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -49 ÷ 617"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -49 by 617. -49 ÷ 617 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 7) * (9 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+7)=29, (9-25)=-16, then 29×-16=-464.\n</reasoning>\nFinal Answer: -464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 17 = 289.0.\n</reasoning>\nFinal Answer: 289.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 25 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+25) × 28 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:8 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/8, so B = A × (8/32) = 76 × 8/32 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 - 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/13 - 6/19. LCD = 247. Result = 207/247.\n</reasoning>\nFinal Answer: 207/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -163 ÷ -808"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -163 by -808. -163 ÷ -808 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 + 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/19 + 9/9. Common denominator = 19. Result = 34/19.\n</reasoning>\nFinal Answer: 34/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 6 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+6) × 21 = 252.0.\n</reasoning>\nFinal Answer: 252.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 32, 77, 75, 92, 49, 29, 3, 52, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 29, 32, 49, 52, 59, 60, 75, 77, 92]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 19 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 19 = 304 worker-days. New time = 304 / 2 = 152.0 days.\n</reasoning>\nFinal Answer: 152.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 141 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 141 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 309 mod -437"
},
{
"role": "assistant",
"content": "<reasoning>\n309 mod -437: 309 = -437 × -1 + -128, so remainder = -128.\n</reasoning>\nFinal Answer: -128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 * 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/20) × (15/13) = (135/260) = 27/52 after simplification.\n</reasoning>\nFinal Answer: 27/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "320 is what percentage of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n(320/398) × 100 = 80.402%.\n</reasoning>\nFinal Answer: 80.402%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 75 = 4050.\n</reasoning>\nFinal Answer: 4050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -622 - 867"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 867 from -622: -622 - 867 = -1489.\n</reasoning>\nFinal Answer: -1489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -2 = -306"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 19x = -304. Divide by 19: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 4, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (17-1)×4 = 14 + 64 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 33 = 2574.\n</reasoning>\nFinal Answer: 2574"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -37 = -317"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 8x = -280. Divide by 8: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 313 + -205"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 313 and -205: 313 + -205 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"arithmetic",
"computation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.