messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 14:26 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/26, so B = A × (26/14) = 94 × 26/14 = 174.5714.\n</reasoning>\nFinal Answer: 174.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -527 × 805"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -527 by 805: -527 × 805 = -424235.\n</reasoning>\nFinal Answer: -424235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 9 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+9) × 20 = 390.0.\n</reasoning>\nFinal Answer: 390.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 32 = 487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 13x = 455. Divide by 13: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 17 = 997"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 28x = 980. Divide by 28: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 80, 90, 32, 94, 16, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 16, 32, 58, 80, 90, 94]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (-21) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×-21 = 576. √discriminant = 24. x = (-(18) ± 24) / (2×3). Solutions: x = -7 or x = 1.\n</reasoning>\nFinal Answer: x = -7 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 16, 19] and B = [8, 10, 12, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 16, 19].\n</reasoning>\nFinal Answer: [4, 6, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹2744. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2744 × 12/100 = 329.28. Total = 2744 + 329.28 = 3073.28.\n</reasoning>\nFinal Answer: 3073.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 41, 99, 56, 19, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 41: 1, 99: 1, 56: 1, 19: 1, 2: 1}. Most frequent: [78, 41, 99, 56, 19, 2].\n</reasoning>\nFinal Answer: [78, 41, 99, 56, 19, 2]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 8 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 8/16 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 / 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/18) ÷ (8/12) = (18/18) × (12/8) = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 45 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 45 × 99 = 4455.\n</reasoning>\nFinal Answer: 4455"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 27 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+27) × 24 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 258 mod 67"
},
{
"role": "assistant",
"content": "<reasoning>\n258 mod 67: 258 = 67 × 3 + 57, so remainder = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 10, 11, 12, 15, 19] and B = [6, 7, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 10, 11, 12, 15, 19].\n</reasoning>\nFinal Answer: [8, 9, 10, 11, 12, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 / 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/19) ÷ (2/16) = (9/19) × (16/2) = 72/19.\n</reasoning>\nFinal Answer: 72/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 12 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+12) × 1 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -369 + -207"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -369 and -207: -369 + -207 = -576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -3 = -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 11x = -66. Divide by 11: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 362 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 362 × (1 - 10/100) = 362 × 0.9 = 325.8.\n</reasoning>\nFinal Answer: 325.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:5 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/5, so B = A × (5/44) = 53 × 5/44 = 6.0227.\n</reasoning>\nFinal Answer: 6.0227"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 32 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 16x = 240. Divide by 16: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -20 = -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 1x = -45. Divide by 1: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 76 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 76 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -12 + 809"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -12 and 809: -12 + 809 = 797.\n</reasoning>\nFinal Answer: 797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 100, 7, 84, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 324/5 = 64.8.\n</reasoning>\nFinal Answer: 64.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:33 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/33, so B = A × (33/20) = 40 × 33/20 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 15 + 36 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×15=315 and 36×1=36, then add: 351.\n</reasoning>\nFinal Answer: 351"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:16 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/16, so B = A × (16/47) = 38 × 16/47 = 12.9362.\n</reasoning>\nFinal Answer: 12.9362"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 10 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 16/60 = 10.2667 hours. Distance = speed × time = 198 × 10.2667 = 2032.8 km.\n</reasoning>\nFinal Answer: 2032.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -10 = 398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 24x = 408. Divide by 24: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,26) = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (9/17) = (108/204) = 9/17 after simplification.\n</reasoning>\nFinal Answer: 9/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 + 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/19 + 5/13. Common denominator = 247. Result = 225/247.\n</reasoning>\nFinal Answer: 225/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 412 ÷ -837"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 412 by -837. 412 ÷ -837 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -450 mod 70"
},
{
"role": "assistant",
"content": "<reasoning>\n-450 mod 70: -450 = 70 × -7 + 40, so remainder = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "26 is what percentage of 189?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/189) × 100 = 13.7566%.\n</reasoning>\nFinal Answer: 13.7566%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 827 - -172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -172 from 827: 827 - -172 = 999.\n</reasoning>\nFinal Answer: 999"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 12 + 46 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×12=492 and 46×22=1012, then add: 1504.\n</reasoning>\nFinal Answer: 1504"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 3) * (41 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+3)=53, (41-3)=38, then 53×38=2014.\n</reasoning>\nFinal Answer: 2014"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 50 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 50 × 21 = 525.0.\n</reasoning>\nFinal Answer: 525.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:17 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/17, so B = A × (17/24) = 68 × 17/24 = 48.1667.\n</reasoning>\nFinal Answer: 48.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 49 = -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 4x = -128. Divide by 4: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 690 km apart. Their speeds are 106 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+75=181 km/h. Time = 690/181 = 3.8122 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 7) * (16 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+7)=47, (16-32)=-16, then 47×-16=-752.\n</reasoning>\nFinal Answer: -752"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 3% of 506?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 506 = (3/100) × 506 = 15.18.\n</reasoning>\nFinal Answer: 15.18"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 5 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 5 = 70 worker-days. New time = 70 / 5 = 14.0 days.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 119 km/h. How far does it travel in 6 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 27/60 = 6.4500 hours. Distance = speed × time = 119 × 6.4500 = 767.55 km.\n</reasoning>\nFinal Answer: 767.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 415 ÷ 575"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 415 by 575. 415 ÷ 575 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×10)/2 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 121 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(121,39) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 101 mod 933"
},
{
"role": "assistant",
"content": "<reasoning>\n101 mod 933: 101 = 933 × 0 + 101, so remainder = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 311."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 311 by smallest primes repeatedly: 311 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 97, 63, 97, 78, 42, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 97: 2, 63: 1, 78: 1, 42: 1, 22: 1}. Most frequent: 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 33 = 1056.\n</reasoning>\nFinal Answer: 1056"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:43 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/43, so B = A × (43/31) = 58 × 43/31 = 80.4516.\n</reasoning>\nFinal Answer: 80.4516"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -50 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 30x = 120. Divide by 30: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 396 mod -391"
},
{
"role": "assistant",
"content": "<reasoning>\n396 mod -391: 396 = -391 × -2 + -386, so remainder = -386.\n</reasoning>\nFinal Answer: -386"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -713 + -868"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -713 and -868: -713 + -868 = -1581.\n</reasoning>\nFinal Answer: -1581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 1 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 23/60 = 1.3833 hours. Distance = speed × time = 195 × 1.3833 = 269.75 km.\n</reasoning>\nFinal Answer: 269.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -685 + -500"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -685 and -500: -685 + -500 = -1185.\n</reasoning>\nFinal Answer: -1185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 27) * (1 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+27)=53, (1-36)=-35, then 53×-35=-1855.\n</reasoning>\nFinal Answer: -1855"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/2 * 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/2) × (2/8) = (32/16) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [24, 37, 50, 63, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 24 and common difference 13. Next term = 76 + 13 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+39) = 2×138 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 79 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 79 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 685?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 685 = (40/100) × 685 = 274.0.\n</reasoning>\nFinal Answer: 274.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 436?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 436 = (80/100) × 436 = 348.8.\n</reasoning>\nFinal Answer: 348.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 79 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 79 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 163 and 112."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(163,112) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:31 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/31, so B = A × (31/27) = 79 × 31/27 = 90.7037.\n</reasoning>\nFinal Answer: 90.7037"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 70% of 68?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 68 = (70/100) × 68 = 47.6.\n</reasoning>\nFinal Answer: 47.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -631 mod 394"
},
{
"role": "assistant",
"content": "<reasoning>\n-631 mod 394: -631 = 394 × -2 + 157, so remainder = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 263 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 263 × (1 + 12/100) = 263 × 1.12 = 294.56.\n</reasoning>\nFinal Answer: 294.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 680 ÷ 914"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 680 by 914. 680 ÷ 914 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45442 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45442 × 15 × 7 / 100 = 47714.1.\n</reasoning>\nFinal Answer: 47714.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 11, 5, 75, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 11: 1, 5: 1, 75: 1, 48: 1}. Most frequent: [35, 11, 5, 75, 48].\n</reasoning>\nFinal Answer: [35, 11, 5, 75, 48]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 + 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/2 + 8/14. Common denominator = 7. Result = 74/7.\n</reasoning>\nFinal Answer: 74/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 12 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 8/60 = 12.1333 hours. Distance = speed × time = 50 × 12.1333 = 606.6667 km.\n</reasoning>\nFinal Answer: 606.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -603 × 318"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -603 by 318: -603 × 318 = -191754.\n</reasoning>\nFinal Answer: -191754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12251 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12251 × 14 × 6 / 100 = 10290.84.\n</reasoning>\nFinal Answer: 10290.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+88) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:9 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/9, so B = A × (9/3) = 90 × 9/3 = 270.0.\n</reasoning>\nFinal Answer: 270.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -35 = -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 17x = -136. Divide by 17: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 48 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+48) × 19 = 902.5.\n</reasoning>\nFinal Answer: 902.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 50% of 748?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 748 = (50/100) × 748 = 374.0.\n</reasoning>\nFinal Answer: 374.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 80 = 4640.\n</reasoning>\nFinal Answer: 4640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19216 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19216 × 18 × 1 / 100 = 3458.88.\n</reasoning>\nFinal Answer: 3458.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+23) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 19 + 37 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×19=532 and 37×12=444, then add: 976.\n</reasoning>\nFinal Answer: 976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 787 ÷ 841"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 787 by 841. 787 ÷ 841 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -40 = -304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 83, 89, 17, 5, 37, 3, 98, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 83: 1, 89: 1, 17: 1, 5: 1, 37: 1, 3: 1, 98: 1, 8: 1}. Most frequent: [68, 83, 89, 17, 5, 37, 3, 98, 8].\n</reasoning>\nFinal Answer: [6... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate: 4^5"
},
{
"role": "assistant",
"content": "<reasoning>\n4^5 = 4 × 4 × 4 × 4 × 4 = 1024.\n</reasoning>\nFinal Answer: 1024"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "What is 30% of 363?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 363 = (30/100) × 363 = 108.9.\n</reasoning>\nFinal Answer: 108.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 230 × 344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 230 by 344: 230 × 344 = 79120.\n</reasoning>\nFinal Answer: 79120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -872 - -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -223 from -872: -872 - -223 = -649.\n</reasoning>\nFinal Answer: -649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 22) * (23 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+22)=36, (23-28)=-5, then 36×-5=-180.\n</reasoning>\nFinal Answer: -180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -13 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 13x = 104. Divide by 13: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
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