messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "110 is what percentage of 324?"
},
{
"role": "assistant",
"content": "<reasoning>\n(110/324) × 100 = 33.9506%.\n</reasoning>\nFinal Answer: 33.9506%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -2 = -674"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 16x = -672. Divide by 16: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 21, 72, 94, 85, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 438/6 = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹678. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 678 × 18/100 = 122.04. Total = 678 + 122.04 = 800.04.\n</reasoning>\nFinal Answer: 800.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 340 × -537"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 340 by -537: 340 × -537 = -182580.\n</reasoning>\nFinal Answer: -182580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -42 = 112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 14x = 154. Divide by 14: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 28, 32, 31, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 65 - 28 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -881 - -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -565 from -881: -881 - -565 = -316.\n</reasoning>\nFinal Answer: -316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 12, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (38-1)×12 = 4 + 444 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -22 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 5x = -235. Divide by 5: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 971 - 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 172 from 971: 971 - 172 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 199 mod 443"
},
{
"role": "assistant",
"content": "<reasoning>\n199 mod 443: 199 = 443 × 0 + 199, so remainder = 199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 26 ÷ -295"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 26 by -295. 26 ÷ -295 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 40 + 4 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×40=1480 and 4×45=180, then add: 1660.\n</reasoning>\nFinal Answer: 1660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -941 + -678"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -941 and -678: -941 + -678 = -1619.\n</reasoning>\nFinal Answer: -1619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -483 ÷ -126"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -483 by -126. -483 ÷ -126 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:50 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/50, so B = A × (50/43) = 58 × 50/43 = 67.4419.\n</reasoning>\nFinal Answer: 67.4419"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 / 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/16) ÷ (9/4) = (13/16) × (4/9) = 13/36.\n</reasoning>\nFinal Answer: 13/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 57, 76, 96, 61, 63, 91, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 546/8 = 68.25.\n</reasoning>\nFinal Answer: 68.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -34 = -736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 26x = -702. Divide by 26: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 26 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(26,18) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 272 km apart. Their speeds are 58 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+108=166 km/h. Time = 272/166 = 1.6386 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×12)/1 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 / 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/5) ÷ (17/10) = (15/5) × (10/17) = 30/17.\n</reasoning>\nFinal Answer: 30/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "632 is what percentage of 733?"
},
{
"role": "assistant",
"content": "<reasoning>\n(632/733) × 100 = 86.221%.\n</reasoning>\nFinal Answer: 86.221%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 710 - -322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -322 from 710: 710 - -322 = 1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -896 × 548"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -896 by 548: -896 × 548 = -491008.\n</reasoning>\nFinal Answer: -491008"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 934 × 757"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 934 by 757: 934 × 757 = 707038.\n</reasoning>\nFinal Answer: 707038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "81 is what percentage of 314?"
},
{
"role": "assistant",
"content": "<reasoning>\n(81/314) × 100 = 25.7962%.\n</reasoning>\nFinal Answer: 25.7962%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 4 + 36 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×4=32 and 36×24=864, then add: 896.\n</reasoning>\nFinal Answer: 896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 309 × -82"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 309 by -82: 309 × -82 = -25338.\n</reasoning>\nFinal Answer: -25338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 36 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+36) × 45 = 855.0.\n</reasoning>\nFinal Answer: 855.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×11)/1 = 374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 133 km/h. How far does it travel in 3 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 35/60 = 3.5833 hours. Distance = speed × time = 133 × 3.5833 = 476.5833 km.\n</reasoning>\nFinal Answer: 476.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 234."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 234 by smallest primes repeatedly: 234 = 2 × 3 × 3 × 13.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 131 - -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -142 from 131: 131 - -142 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -486 mod 563"
},
{
"role": "assistant",
"content": "<reasoning>\n-486 mod 563: -486 = 563 × -1 + 77, so remainder = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 843 ÷ -657"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 843 by -657. 843 ÷ -657 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 133 apples and buys 110 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 133 + 110 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -329 × -270"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -329 by -270: -329 × -270 = 88830.\n</reasoning>\nFinal Answer: 88830"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-34)x + (140) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -34² - 4×2×140 = 36. √discriminant = 6. x = (-(-34) ± 6) / (2×2). Solutions: x = 10 or x = 7.\n</reasoning>\nFinal Answer: x = 10 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 8, 14, 16, 17] and B = [3, 8, 12, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 5, 6, 14, 16, 17].\n</reasoning>\nFinal Answer: [4, 5, 6, 14, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 9 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 28/60 = 9.4667 hours. Distance = speed × time = 108 × 9.4667 = 1022.4 km.\n</reasoning>\nFinal Answer: 1022.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 68 × 656"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 68 by 656: 68 × 656 = 44608.\n</reasoning>\nFinal Answer: 44608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 12, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (21-1)×12 = 1 + 240 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 833 mod 936"
},
{
"role": "assistant",
"content": "<reasoning>\n833 mod 936: 833 = 936 × 0 + 833, so remainder = 833.\n</reasoning>\nFinal Answer: 833"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 644 ÷ -458"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 644 by -458. 644 ÷ -458 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 288 × 729"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 288 by 729: 288 × 729 = 209952.\n</reasoning>\nFinal Answer: 209952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:19 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/19, so B = A × (19/49) = 9 × 19/49 = 3.4898.\n</reasoning>\nFinal Answer: 3.4898"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 76, 20, 78, 96, 7, 48, 67, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 76: 1, 20: 1, 78: 1, 96: 1, 7: 1, 48: 1, 67: 1, 33: 1}. Most frequent: [51, 76, 20, 78, 96, 7, 48, 67, 33].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 10% of 948?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 948 = (10/100) × 948 = 94.8.\n</reasoning>\nFinal Answer: 94.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 460?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 460 = (65/100) × 460 = 299.0.\n</reasoning>\nFinal Answer: 299.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/18) × (15/17) = (105/306) = 35/102 after simplification.\n</reasoning>\nFinal Answer: 35/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 41 * 40 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×40=1640, then 40+1640-15=1665.\n</reasoning>\nFinal Answer: 1665"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 6 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 16/60 = 6.2667 hours. Distance = speed × time = 147 × 6.2667 = 921.2 km.\n</reasoning>\nFinal Answer: 921.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 546 × -929"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 546 by -929: 546 × -929 = -507234.\n</reasoning>\nFinal Answer: -507234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -797 mod -81"
},
{
"role": "assistant",
"content": "<reasoning>\n-797 mod -81: -797 = -81 × 9 + -68, so remainder = -68.\n</reasoning>\nFinal Answer: -68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×50)/1 = 1650.\n</reasoning>\nFinal Answer: 1650"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 89 = 3248.5.\n</reasoning>\nFinal Answer: 3248.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 45 = 3330.\n</reasoning>\nFinal Answer: 3330"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 667 mod 248"
},
{
"role": "assistant",
"content": "<reasoning>\n667 mod 248: 667 = 248 × 2 + 171, so remainder = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 848 + -724"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 848 and -724: 848 + -724 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 55, 92, 68, 55, 69, 79, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 37, 55, 55, 68, 69, 79, 92]. Middle value(s) → median = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -42 = 167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 19x = 209. Divide by 19: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 * 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/10) × (13/17) = (52/170) = 26/85 after simplification.\n</reasoning>\nFinal Answer: 26/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 19, 65, 53, 92, 72, 26, 86, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 26, 53, 57, 65, 72, 86, 92, 98]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 11] and B = [1, 7, 10, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 7, 10, 11, 13].\n</reasoning>\nFinal Answer: [1, 6, 7, 10, 11, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -45 = 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 21x = 903. Divide by 21: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 11, 12] and B = [2, 4, 13, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 7, 11, 12, 13, 19].\n</reasoning>\nFinal Answer: [2, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×17)/1 = 816.\n</reasoning>\nFinal Answer: 816"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 23 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+23) × 22 = 385.0.\n</reasoning>\nFinal Answer: 385.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3486. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3486 × 18/100 = 627.48. Total = 3486 + 627.48 = 4113.48.\n</reasoning>\nFinal Answer: 4113.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 394 + -490"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 394 and -490: 394 + -490 = -96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 765 - 893"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 893 from 765: 765 - 893 = -128.\n</reasoning>\nFinal Answer: -128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 36 = 1268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 28x = 1232. Divide by 28: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 25 * 47 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×47=1175, then 19+1175-25=1169.\n</reasoning>\nFinal Answer: 1169"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 22 * 10 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×10=220, then 25+220-31=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 904 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 904 × (1 - 50/100) = 904 × 0.5 = 452.0.\n</reasoning>\nFinal Answer: 452.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+62) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:22 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/22, so B = A × (22/12) = 13 × 22/12 = 23.8333.\n</reasoning>\nFinal Answer: 23.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 93, 76, 6, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 6 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 96 = 5856.\n</reasoning>\nFinal Answer: 5856"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 188 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 188 + 95 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 98, 43, 93, 71, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 26 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 97, 83, 1, 39, 5, 32, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 97: 1, 83: 1, 1: 1, 39: 2, 5: 1, 32: 1}. Most frequent: 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 6 mod 876"
},
{
"role": "assistant",
"content": "<reasoning>\n6 mod 876: 6 = 876 × 0 + 6, so remainder = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 32, 38, 74, 60, 89, 29, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 1, 32: 1, 38: 1, 74: 1, 60: 1, 89: 1, 29: 1, 56: 1}. Most frequent: [35, 32, 38, 74, 60, 89, 29, 56].\n</reasoning>\nFinal Answer: [35, 32,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:41 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/41, so B = A × (41/33) = 6 × 41/33 = 7.4545.\n</reasoning>\nFinal Answer: 7.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 85, 36, 54, 74, 47, 15, 52, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 85: 1, 36: 1, 54: 1, 74: 1, 47: 1, 15: 1, 52: 1, 12: 1}. Most frequent: [99, 85, 36, 54, 74, 47, 15, 52, 12].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 31 = -753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 16x = -784. Divide by 16: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 * 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/2) × (9/6) = (171/12) = 57/4 after simplification.\n</reasoning>\nFinal Answer: 57/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "259 is what percentage of 323?"
},
{
"role": "assistant",
"content": "<reasoning>\n(259/323) × 100 = 80.1858%.\n</reasoning>\nFinal Answer: 80.1858%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 15 + 38 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×15=600 and 38×2=76, then add: 676.\n</reasoning>\nFinal Answer: 676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 51 = 2499.\n</reasoning>\nFinal Answer: 2499"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 45 + 26 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×45=1710 and 26×36=936, then add: 2646.\n</reasoning>\nFinal Answer: 2646"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+100) = 2×172 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35140 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35140 × 17 × 3 / 100 = 17921.4.\n</reasoning>\nFinal Answer: 17921.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 + 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/18 + 16/7. Common denominator = 126. Result = 295/126.\n</reasoning>\nFinal Answer: 295/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 309 - 193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 193 from 309: 309 - 193 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | medium | [
"arithmetic",
"computation"
] |
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