messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 72 = 2052.0.\n</reasoning>\nFinal Answer: 2052.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 19, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (13-1)×19 = 12 + 228 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -104 mod 38"
},
{
"role": "assistant",
"content": "<reasoning>\n-104 mod 38: -104 = 38 × -3 + 10, so remainder = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:42 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/42, so B = A × (42/17) = 6 × 42/17 = 14.8235.\n</reasoning>\nFinal Answer: 14.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 91 = 2320.5.\n</reasoning>\nFinal Answer: 2320.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 + 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/5 + 6/17. Common denominator = 85. Result = 353/85.\n</reasoning>\nFinal Answer: 353/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 + 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/19 + 18/1. Common denominator = 19. Result = 360/19.\n</reasoning>\nFinal Answer: 360/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 17 - -831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -831 from 17: 17 - -831 = 848.\n</reasoning>\nFinal Answer: 848"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 + 17/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/10 + 17/19. Common denominator = 19. Result = 36/19.\n</reasoning>\nFinal Answer: 36/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 569 mod -763"
},
{
"role": "assistant",
"content": "<reasoning>\n569 mod -763: 569 = -763 × -1 + -194, so remainder = -194.\n</reasoning>\nFinal Answer: -194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -179 × -70"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -179 by -70: -179 × -70 = 12530.\n</reasoning>\nFinal Answer: 12530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:42 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/42, so B = A × (42/36) = 32 × 42/36 = 37.3333.\n</reasoning>\nFinal Answer: 37.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 27) * (28 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+27)=56, (28-5)=23, then 56×23=1288.\n</reasoning>\nFinal Answer: 1288"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 986 km apart. Their speeds are 76 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+107=183 km/h. Time = 986/183 = 5.388 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -389 ÷ -316"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -389 by -316. -389 ÷ -316 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×42)/2 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 17% of 414?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 414 = (17/100) × 414 = 70.38.\n</reasoning>\nFinal Answer: 70.38"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-27) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-27 = 324. √discriminant = 18. x = (-(0) ± 18) / (2×3). Solutions: x = -3 or x = 3.\n</reasoning>\nFinal Answer: x = -3 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 22 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 22 + 118 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 * 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/6) × (11/20) = (110/120) = 11/12 after simplification.\n</reasoning>\nFinal Answer: 11/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 * 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/17) × (19/10) = (361/170) = 361/170 after simplification.\n</reasoning>\nFinal Answer: 361/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 1 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 33+1-33=1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:47 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/47, so B = A × (47/7) = 77 × 47/7 = 517.0.\n</reasoning>\nFinal Answer: 517.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -374 - -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from -374: -374 - -40 = -334.\n</reasoning>\nFinal Answer: -334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+55) = 2×73 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 14 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 14 = 112 worker-days. New time = 112 / 2 = 56.0 days.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 29, 15, 73, 62, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 305/6 = 50.8333.\n</reasoning>\nFinal Answer: 50.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 231 mod -826"
},
{
"role": "assistant",
"content": "<reasoning>\n231 mod -826: 231 = -826 × -1 + -595, so remainder = -595.\n</reasoning>\nFinal Answer: -595"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+45) = 2×82 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,174) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -689 × -219"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -689 by -219: -689 × -219 = 150891.\n</reasoning>\nFinal Answer: 150891"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 18, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (14-1)×18 = 34 + 234 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -769 + 159"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -769 and 159: -769 + 159 = -610.\n</reasoning>\nFinal Answer: -610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:50 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/50, so B = A × (50/10) = 39 × 50/10 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -718 + 627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -718 and 627: -718 + 627 = -91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 88 = 3300.0.\n</reasoning>\nFinal Answer: 3300.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 975 + 444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 975 and 444: 975 + 444 = 1419.\n</reasoning>\nFinal Answer: 1419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 33 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+33) × 37 = 1017.5.\n</reasoning>\nFinal Answer: 1017.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "84 is what percentage of 429?"
},
{
"role": "assistant",
"content": "<reasoning>\n(84/429) × 100 = 19.5804%.\n</reasoning>\nFinal Answer: 19.5804%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -897 - 277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 277 from -897: -897 - 277 = -1174.\n</reasoning>\nFinal Answer: -1174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 26 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 24+676-24=676.\n</reasoning>\nFinal Answer: 676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 95, 85, 93, 81, 38, 34, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 95: 1, 85: 1, 93: 1, 81: 1, 38: 1, 34: 1, 12: 1}. Most frequent: [57, 95, 85, 93, 81, 38, 34, 12].\n</reasoning>\nFinal Answer: [57, 95,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15764 at 19% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15764 × 19 × 4 / 100 = 11980.64.\n</reasoning>\nFinal Answer: 11980.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -55 - 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 254 from -55: -55 - 254 = -309.\n</reasoning>\nFinal Answer: -309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 - 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/2 - 17/3. LCD = 3. Result = 10/3.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 42, 54, 66, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 12. Next term = 78 + 12 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 14, 27, 43, 40, 22, 28, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 14: 1, 27: 1, 43: 1, 40: 1, 22: 1, 28: 1, 94: 1}. Most frequent: [44, 14, 27, 43, 40, 22, 28, 94].\n</reasoning>\nFinal Answer: [44, 14,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 20 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+20) × 25 = 500.0.\n</reasoning>\nFinal Answer: 500.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 10 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 6/60 = 10.1000 hours. Distance = speed × time = 117 × 10.1000 = 1181.7 km.\n</reasoning>\nFinal Answer: 1181.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 31 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 26 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 26 = 78 worker-days. New time = 78 / 2 = 39.0 days.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 73, 62, 40, 59, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 26, 40, 59, 62, 73]. Middle value(s) → median = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 10, 13, 15] and B = [3, 7, 9, 14, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 7].\n</reasoning>\nFinal Answer: [3, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 4 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 20x = -260. Divide by 20: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 9 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 7x = -238. Divide by 7: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (11/5) = (99/85) = 99/85 after simplification.\n</reasoning>\nFinal Answer: 99/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 24 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 49 = 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 5x = 170. Divide by 5: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 5 * 11 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×11=55, then 4+55-44=15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 15, 19] and B = [1, 3, 5, 9, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1].\n</reasoning>\nFinal Answer: [1]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (17/7) = (13/10) × (7/17) = 91/170.\n</reasoning>\nFinal Answer: 91/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 663 mod 27"
},
{
"role": "assistant",
"content": "<reasoning>\n663 mod 27: 663 = 27 × 24 + 15, so remainder = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (16)x + (63) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×1×63 = 4. √discriminant = 2. x = (-(16) ± 2) / (2×1). Solutions: x = -7 or x = -9.\n</reasoning>\nFinal Answer: x = -7 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 38 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+38) × 4 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 269 ÷ 590"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 269 by 590. 269 ÷ 590 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 749 ÷ -726"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 749 by -726. 749 ÷ -726 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+30) = 2×98 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -253 - 955"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 955 from -253: -253 - 955 = -1208.\n</reasoning>\nFinal Answer: -1208"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 35 + 39 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×35=350 and 39×14=546, then add: 896.\n</reasoning>\nFinal Answer: 896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -18 = 927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 27x = 945. Divide by 27: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 33 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 37+1089-37=1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:7 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/7, so B = A × (7/41) = 10 × 7/41 = 1.7073.\n</reasoning>\nFinal Answer: 1.7073"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 11, 26, 30, 99, 85, 98, 37, 67, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 575/10 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 50 apples and buys 57 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 50 + 57 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 856 mod -146"
},
{
"role": "assistant",
"content": "<reasoning>\n856 mod -146: 856 = -146 × -6 + -20, so remainder = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 7) * (45 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+7)=53, (45-1)=44, then 53×44=2332.\n</reasoning>\nFinal Answer: 2332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 4 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:32 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/32, so B = A × (32/5) = 93 × 32/5 = 595.2.\n</reasoning>\nFinal Answer: 595.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19127 at 2% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19127 × 2 × 1 / 100 = 382.54.\n</reasoning>\nFinal Answer: 382.54"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:49 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/49, so B = A × (49/14) = 49 × 49/14 = 171.5.\n</reasoning>\nFinal Answer: 171.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:16 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/16, so B = A × (16/35) = 67 × 16/35 = 30.6286.\n</reasoning>\nFinal Answer: 30.6286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 13) * (29 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+13)=53, (29-31)=-2, then 53×-2=-106.\n</reasoning>\nFinal Answer: -106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 60, 25, 20, 24, 84, 45, 74, 26, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/10 = 39.6.\n</reasoning>\nFinal Answer: 39.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 48 km/h. How far does it travel in 10 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 13/60 = 10.2167 hours. Distance = speed × time = 48 × 10.2167 = 490.4 km.\n</reasoning>\nFinal Answer: 490.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 47 = -295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 19x = -342. Divide by 19: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 12 * 46 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×46=552, then 12+552-35=529.\n</reasoning>\nFinal Answer: 529"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -646 mod -115"
},
{
"role": "assistant",
"content": "<reasoning>\n-646 mod -115: -646 = -115 × 5 + -71, so remainder = -71.\n</reasoning>\nFinal Answer: -71"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:49 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/49, so B = A × (49/10) = 57 × 49/10 = 279.3.\n</reasoning>\nFinal Answer: 279.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 34 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 31+1156-4=1183.\n</reasoning>\nFinal Answer: 1183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -620 ÷ 883"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -620 by 883. -620 ÷ 883 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 3 = 567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 12x = 564. Divide by 12: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 18, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (11-1)×18 = 6 + 180 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:28 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/28, so B = A × (28/47) = 7 × 28/47 = 4.1702.\n</reasoning>\nFinal Answer: 4.1702"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 9, 15] and B = [2, 5, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 9, 13, 15].\n</reasoning>\nFinal Answer: [1, 2, 6, 9, 13... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 944 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 944 × (1 - 20/100) = 944 × 0.8 = 755.2.\n</reasoning>\nFinal Answer: 755.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:35 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/35, so B = A × (35/31) = 34 × 35/31 = 38.3871.\n</reasoning>\nFinal Answer: 38.3871"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 24 + 50 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×24=216 and 50×24=1200, then add: 1416.\n</reasoning>\nFinal Answer: 1416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "339 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(339/350) × 100 = 96.8571%.\n</reasoning>\nFinal Answer: 96.8571%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 45 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 19+2025-22=2022.\n</reasoning>\nFinal Answer: 2022"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 3, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (17-1)×3 = 32 + 48 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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