messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 44 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 39+1936-1=1974.\n</reasoning>\nFinal Answer: 1974"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 19 * 48 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×48=912, then 27+912-12=927.\n</reasoning>\nFinal Answer: 927"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "193 is what percentage of 413?"
},
{
"role": "assistant",
"content": "<reasoning>\n(193/413) × 100 = 46.7312%.\n</reasoning>\nFinal Answer: 46.7312%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 503 - 627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 627 from 503: 503 - 627 = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 25, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 25 + 39 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 14 = -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 21x = -42. Divide by 21: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 * 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/3) × (20/18) = (300/54) = 50/9 after simplification.\n</reasoning>\nFinal Answer: 50/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:22 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/22, so B = A × (22/16) = 41 × 22/16 = 56.375.\n</reasoning>\nFinal Answer: 56.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -348 - -659"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -659 from -348: -348 - -659 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:34 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/34, so B = A × (34/9) = 76 × 34/9 = 287.1111.\n</reasoning>\nFinal Answer: 287.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 25 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 20x = -320. Divide by 20: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 456 ÷ -936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 456 by -936. 456 ÷ -936 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 171 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 171 × (1 + 12/100) = 171 × 1.12 = 191.52.\n</reasoning>\nFinal Answer: 191.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 77, 24, 20, 34, 16, 62, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 20, 24, 34, 50, 62, 64, 77]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "231 is what percentage of 449?"
},
{
"role": "assistant",
"content": "<reasoning>\n(231/449) × 100 = 51.4477%.\n</reasoning>\nFinal Answer: 51.4477%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 8/14 + 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/14 + 4/8. Common denominator = 14. Result = 15/14.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -41 = -164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 3x = -123. Divide by 3: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 597?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 597 = (65/100) × 597 = 388.05.\n</reasoning>\nFinal Answer: 388.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 / 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/14) ÷ (16/10) = (9/14) × (10/16) = 45/112.\n</reasoning>\nFinal Answer: 45/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:28 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/28, so B = A × (28/32) = 8 × 28/32 = 7.0.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 61, 47, 29, 20, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 29, 47, 61, 73, 79]. Middle value(s) → median = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 16 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 16 = 160 worker-days. New time = 160 / 12 = 13.3333 days.\n</reasoning>\nFinal Answer: 13.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 94, 39, 79, 83, 94, 12, 85, 21, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 553/10 = 55.3.\n</reasoning>\nFinal Answer: 55.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:23 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/23, so B = A × (23/29) = 53 × 23/29 = 42.0345.\n</reasoning>\nFinal Answer: 42.0345"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 * 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/13) × (7/10) = (56/130) = 28/65 after simplification.\n</reasoning>\nFinal Answer: 28/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -348 × -651"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -348 by -651: -348 × -651 = 226548.\n</reasoning>\nFinal Answer: 226548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:12 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/12, so B = A × (12/27) = 25 × 12/27 = 11.1111.\n</reasoning>\nFinal Answer: 11.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 221 mod -380"
},
{
"role": "assistant",
"content": "<reasoning>\n221 mod -380: 221 = -380 × -1 + -159, so remainder = -159.\n</reasoning>\nFinal Answer: -159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 * 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/12) × (10/11) = (180/132) = 15/11 after simplification.\n</reasoning>\nFinal Answer: 15/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 66 = 594.\n</reasoning>\nFinal Answer: 594"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 171 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 171 × (1 + 60/100) = 171 × 1.6 = 273.6.\n</reasoning>\nFinal Answer: 273.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 968 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 968 × (1 + 15/100) = 968 × 1.15 = 1113.2.\n</reasoning>\nFinal Answer: 1113.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 11 + 5 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×11=396 and 5×28=140, then add: 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:9 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/9, so B = A × (9/49) = 46 × 9/49 = 8.449.\n</reasoning>\nFinal Answer: 8.449"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 1 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 1 + 169 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 8, 9, 14, 17, 18] and B = [5, 9, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 7, 8, 9, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [3, 5, 7, 8, 9, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 + 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/17 + 1/8. Common denominator = 136. Result = 145/136.\n</reasoning>\nFinal Answer: 145/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:33 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/33, so B = A × (33/18) = 1 × 33/18 = 1.8333.\n</reasoning>\nFinal Answer: 1.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -494 - 303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 303 from -494: -494 - 303 = -797.\n</reasoning>\nFinal Answer: -797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 42 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 24+1764-39=1749.\n</reasoning>\nFinal Answer: 1749"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20868 at 1% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20868 × 1 × 3 / 100 = 626.04.\n</reasoning>\nFinal Answer: 626.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 21 * 23 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×23=483, then 23+483-28=478.\n</reasoning>\nFinal Answer: 478"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 7 + 16 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×7=161 and 16×23=368, then add: 529.\n</reasoning>\nFinal Answer: 529"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 / 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/9) ÷ (9/4) = (20/9) × (4/9) = 80/81.\n</reasoning>\nFinal Answer: 80/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 27 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 27 = 486 worker-days. New time = 486 / 13 = 37.3846 days.\n</reasoning>\nFinal Answer: 37.3846"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [10, 68, 76, 14, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {10: 1, 68: 1, 76: 1, 14: 1, 69: 1}. Most frequent: [10, 68, 76, 14, 69].\n</reasoning>\nFinal Answer: [10, 68, 76, 14, 69]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 30) * (25 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+30)=69, (25-26)=-1, then 69×-1=-69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:49 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/49, so B = A × (49/24) = 37 × 49/24 = 75.5417.\n</reasoning>\nFinal Answer: 75.5417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 80% of 839?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 839 = (80/100) × 839 = 671.2.\n</reasoning>\nFinal Answer: 671.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "129 is what percentage of 290?"
},
{
"role": "assistant",
"content": "<reasoning>\n(129/290) × 100 = 44.4828%.\n</reasoning>\nFinal Answer: 44.4828%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 101 mod -118"
},
{
"role": "assistant",
"content": "<reasoning>\n101 mod -118: 101 = -118 × -1 + -17, so remainder = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -759 ÷ 969"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -759 by 969. -759 ÷ 969 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -29 = 883"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 24x = 912. Divide by 24: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 170 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 170 × (1 - 90/100) = 170 × 0.09999999999999998 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹569. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 569 × 28/100 = 159.32. Total = 569 + 159.32 = 728.32.\n</reasoning>\nFinal Answer: 728.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -448 - -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -86 from -448: -448 - -86 = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 6, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (11-1)×6 = 38 + 60 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the square root of 49."
},
{
"role": "assistant",
"content": "<reasoning>\n√49 = 7 because 7² = 49.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 96, 46, 97, 38, 1, 21, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 21, 38, 46, 52, 60, 96, 97]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 720 - 129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 129 from 720: 720 - 129 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 41 = 1845.\n</reasoning>\nFinal Answer: 1845"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 668 + -936"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 668 and -936: 668 + -936 = -268.\n</reasoning>\nFinal Answer: -268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:46 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/46, so B = A × (46/37) = 95 × 46/37 = 118.1081.\n</reasoning>\nFinal Answer: 118.1081"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/19) × (11/18) = (176/342) = 88/171 after simplification.\n</reasoning>\nFinal Answer: 88/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 35 = 275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 20x = 240. Divide by 20: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 4 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 32/60 = 4.5333 hours. Distance = speed × time = 54 × 4.5333 = 244.8 km.\n</reasoning>\nFinal Answer: 244.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 47) * (44 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+47)=48, (44-27)=17, then 48×17=816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 40% of 712?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 712 = (40/100) × 712 = 284.8.\n</reasoning>\nFinal Answer: 284.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 115."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,115) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×19)/1 = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 32 + 41 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×32=1120 and 41×39=1599, then add: 2719.\n</reasoning>\nFinal Answer: 2719"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -952 ÷ -782"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -952 by -782. -952 ÷ -782 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×18)/1 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:27 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/27, so B = A × (27/43) = 34 × 27/43 = 21.3488.\n</reasoning>\nFinal Answer: 21.3488"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "300 is what percentage of 752?"
},
{
"role": "assistant",
"content": "<reasoning>\n(300/752) × 100 = 39.8936%.\n</reasoning>\nFinal Answer: 39.8936%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29432 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29432 × 16 × 6 / 100 = 28254.72.\n</reasoning>\nFinal Answer: 28254.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 31 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+31) × 1 = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 - 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/4 - 16/19. LCD = 38. Result = 101/38.\n</reasoning>\nFinal Answer: 101/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 78?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 78 = (65/100) × 78 = 50.7.\n</reasoning>\nFinal Answer: 50.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 / 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/12) ÷ (6/13) = (8/12) × (13/6) = 13/9.\n</reasoning>\nFinal Answer: 13/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:19 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/19, so B = A × (19/1) = 61 × 19/1 = 1159.0.\n</reasoning>\nFinal Answer: 1159.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,78) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 / 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/3) ÷ (5/3) = (14/3) × (3/5) = 14/5.\n</reasoning>\nFinal Answer: 14/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 89 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 89 + 139 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 48, 65, 30, 77, 24, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 16 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -267 - -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -302 from -267: -267 - -302 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,78) = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "218 is what percentage of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n(218/230) × 100 = 94.7826%.\n</reasoning>\nFinal Answer: 94.7826%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:3 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/3, so B = A × (3/38) = 49 × 3/38 = 3.8684.\n</reasoning>\nFinal Answer: 3.8684"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 / 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/17) ÷ (1/9) = (4/17) × (9/1) = 36/17.\n</reasoning>\nFinal Answer: 36/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 877 km apart. Their speeds are 105 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+89=194 km/h. Time = 877/194 = 4.5206 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 44 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -449 mod -580"
},
{
"role": "assistant",
"content": "<reasoning>\n-449 mod -580: -449 = -580 × 0 + -449, so remainder = -449.\n</reasoning>\nFinal Answer: -449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 40 = 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 18x = 576. Divide by 18: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 / 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/14) ÷ (20/16) = (13/14) × (16/20) = 26/35.\n</reasoning>\nFinal Answer: 26/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 42 = -908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 19x = -950. Divide by 19: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -700 - -413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -413 from -700: -700 - -413 = -287.\n</reasoning>\nFinal Answer: -287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -38 = 352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 10x = 390. Divide by 10: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 379."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 379 by smallest primes repeatedly: 379 = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -660 × -270"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -660 by -270: -660 × -270 = 178200.\n</reasoning>\nFinal Answer: 178200"
}
] | medium | [
"arithmetic",
"computation"
] |
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