messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -245 mod 106"
},
{
"role": "assistant",
"content": "<reasoning>\n-245 mod 106: -245 = 106 × -3 + 73, so remainder = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45161 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45161 × 13 × 1 / 100 = 5870.93.\n</reasoning>\nFinal Answer: 5870.93"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 80% of 434?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 434 = (80/100) × 434 = 347.2.\n</reasoning>\nFinal Answer: 347.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 31 = 2728.\n</reasoning>\nFinal Answer: 2728"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 649 mod 683"
},
{
"role": "assistant",
"content": "<reasoning>\n649 mod 683: 649 = 683 × 0 + 649, so remainder = 649.\n</reasoning>\nFinal Answer: 649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -735 + 4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -735 and 4: -735 + 4 = -731.\n</reasoning>\nFinal Answer: -731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 6 + 3 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×6=198 and 3×10=30, then add: 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 47) * (27 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+47)=75, (27-22)=5, then 75×5=375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 4, 7, 39, 58, 17, 78, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 4: 1, 7: 1, 39: 1, 58: 1, 17: 1, 78: 1, 95: 1}. Most frequent: [96, 4, 7, 39, 58, 17, 78, 95].\n</reasoning>\nFinal Answer: [96, 4, 7, 39,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 20, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 20 + 29 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 40, 47, 54, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 7. Next term = 61 + 7 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 7) * (45 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+7)=31, (45-49)=-4, then 31×-4=-124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 78 km/h. How far does it travel in 6 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 43/60 = 6.7167 hours. Distance = speed × time = 78 × 6.7167 = 523.9 km.\n</reasoning>\nFinal Answer: 523.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:28 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/28, so B = A × (28/45) = 7 × 28/45 = 4.3556.\n</reasoning>\nFinal Answer: 4.3556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 460 - -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -108 from 460: 460 - -108 = 568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 42, 46, 53, 29, 31, 100, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 42: 1, 46: 1, 53: 1, 29: 1, 31: 1, 100: 1, 1: 1}. Most frequent: [64, 42, 46, 53, 29, 31, 100, 1].\n</reasoning>\nFinal Answer: [64, 42,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 595 km apart. Their speeds are 42 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+96=138 km/h. Time = 595/138 = 4.3116 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 17, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (30-1)×17 = 25 + 493 = 518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:6 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/6, so B = A × (6/44) = 43 × 6/44 = 5.8636.\n</reasoning>\nFinal Answer: 5.8636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 267 mod 601"
},
{
"role": "assistant",
"content": "<reasoning>\n267 mod 601: 267 = 601 × 0 + 267, so remainder = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 18/2. LCD = 17. Result = -137/17.\n</reasoning>\nFinal Answer: -137/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 31 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+31) × 50 = 1500.0.\n</reasoning>\nFinal Answer: 1500.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 622 - 605"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 605 from 622: 622 - 605 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:50 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/50, so B = A × (50/17) = 64 × 50/17 = 188.2353.\n</reasoning>\nFinal Answer: 188.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 28 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+28) × 15 = 502.5.\n</reasoning>\nFinal Answer: 502.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 46 = -224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 15x = -270. Divide by 15: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 12% of 155?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 155 = (12/100) × 155 = 18.6.\n</reasoning>\nFinal Answer: 18.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 19 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 35+361-38=358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -575 × -422"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -575 by -422: -575 × -422 = 242650.\n</reasoning>\nFinal Answer: 242650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 17, 48, 79, 10, 80, 41, 9, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 17: 1, 48: 1, 79: 1, 10: 1, 80: 1, 41: 1, 9: 1, 75: 1}. Most frequent: [21, 17, 48, 79, 10, 80, 41, 9, 75].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 16 + 14 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×16=704 and 14×10=140, then add: 844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:34 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/34, so B = A × (34/47) = 50 × 34/47 = 36.1702.\n</reasoning>\nFinal Answer: 36.1702"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 40 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 18+1600-28=1590.\n</reasoning>\nFinal Answer: 1590"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 34 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 25x = -700. Divide by 25: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 is what percentage of 26?"
},
{
"role": "assistant",
"content": "<reasoning>\n(15/26) × 100 = 57.6923%.\n</reasoning>\nFinal Answer: 57.6923%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 4, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (38-1)×4 = 39 + 148 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 10 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+10) × 19 = 380.0.\n</reasoning>\nFinal Answer: 380.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:6 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/6, so B = A × (6/30) = 1 × 6/30 = 0.2.\n</reasoning>\nFinal Answer: 0.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 6, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (45-1)×6 = 6 + 264 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:9 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/9, so B = A × (9/28) = 56 × 9/28 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 * 2/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/2) × (2/9) = (16/18) = 8/9 after simplification.\n</reasoning>\nFinal Answer: 8/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "63 is what percentage of 82?"
},
{
"role": "assistant",
"content": "<reasoning>\n(63/82) × 100 = 76.8293%.\n</reasoning>\nFinal Answer: 76.8293%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "214 is what percentage of 534?"
},
{
"role": "assistant",
"content": "<reasoning>\n(214/534) × 100 = 40.0749%.\n</reasoning>\nFinal Answer: 40.0749%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+12) = 2×26 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -283 + 638"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -283 and 638: -283 + 638 = 355.\n</reasoning>\nFinal Answer: 355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 753 ÷ 188"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 753 by 188. 753 ÷ 188 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "40 is what percentage of 135?"
},
{
"role": "assistant",
"content": "<reasoning>\n(40/135) × 100 = 29.6296%.\n</reasoning>\nFinal Answer: 29.6296%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 84 = 7644.\n</reasoning>\nFinal Answer: 7644"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 3 + 50 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×3=6 and 50×37=1850, then add: 1856.\n</reasoning>\nFinal Answer: 1856"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -50 = 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 16x = 176. Divide by 16: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 26 = -687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 23x = -713. Divide by 23: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 70, 15, 78, 56, 15, 21, 28, 15, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 13 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:34 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/34, so B = A × (34/10) = 17 × 34/10 = 57.8.\n</reasoning>\nFinal Answer: 57.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 114."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 114 by smallest primes repeatedly: 114 = 2 × 3 × 19.\n</reasoning>\nFinal Answer: 2 × 3 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 12/9. Common denominator = 30. Result = 43/30.\n</reasoning>\nFinal Answer: 43/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -354 mod 66"
},
{
"role": "assistant",
"content": "<reasoning>\n-354 mod 66: -354 = 66 × -6 + 42, so remainder = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -647 + 913"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -647 and 913: -647 + 913 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -248 + -461"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -248 and -461: -248 + -461 = -709.\n</reasoning>\nFinal Answer: -709"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "48 is what percentage of 100?"
},
{
"role": "assistant",
"content": "<reasoning>\n(48/100) × 100 = 48.0%.\n</reasoning>\nFinal Answer: 48.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 21) * (20 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+21)=61, (20-15)=5, then 61×5=305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 47 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+47) × 5 = 175.0.\n</reasoning>\nFinal Answer: 175.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:14 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/14, so B = A × (14/16) = 49 × 14/16 = 42.875.\n</reasoning>\nFinal Answer: 42.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -10 + -355"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -10 and -355: -10 + -355 = -365.\n</reasoning>\nFinal Answer: -365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 955 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 955 × (1 - 25/100) = 955 × 0.75 = 716.25.\n</reasoning>\nFinal Answer: 716.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 75, 19, 80, 89, 61, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 75: 1, 19: 1, 80: 1, 89: 1, 61: 1, 32: 1}. Most frequent: [76, 75, 19, 80, 89, 61, 32].\n</reasoning>\nFinal Answer: [76, 75, 19, 80, 89, 61... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 352 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 352 × (1 - 12/100) = 352 × 0.88 = 309.76.\n</reasoning>\nFinal Answer: 309.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 37 * 24 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×24=888, then 34+888-22=900.\n</reasoning>\nFinal Answer: 900"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 859 km apart. Their speeds are 110 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+89=199 km/h. Time = 859/199 = 4.3166 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 23 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 23 = 184 worker-days. New time = 184 / 19 = 9.6842 days.\n</reasoning>\nFinal Answer: 9.6842"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1428. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1428 × 5/100 = 71.4. Total = 1428 + 71.4 = 1499.4.\n</reasoning>\nFinal Answer: 1499.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 30 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 30 = 390 worker-days. New time = 390 / 3 = 130.0 days.\n</reasoning>\nFinal Answer: 130.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 25 = -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 11x = -55. Divide by 11: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -39 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 30x = 150. Divide by 30: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 647?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 647 = (10/100) × 647 = 64.7.\n</reasoning>\nFinal Answer: 64.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 60 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 60 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 / 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/7) ÷ (2/6) = (7/7) × (6/2) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 18 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 18 = 252 worker-days. New time = 252 / 14 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 + 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/12 + 12/13. Common denominator = 78. Result = 137/78.\n</reasoning>\nFinal Answer: 137/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -764 + -563"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -764 and -563: -764 + -563 = -1327.\n</reasoning>\nFinal Answer: -1327"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 177 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 177 × (1 - 12/100) = 177 × 0.88 = 155.76.\n</reasoning>\nFinal Answer: 155.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -3 = -885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 21x = -882. Divide by 21: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 45) * (46 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+45)=87, (46-33)=13, then 87×13=1131.\n</reasoning>\nFinal Answer: 1131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -276 + 463"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -276 and 463: -276 + 463 = 187.\n</reasoning>\nFinal Answer: 187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 24 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 40+576-40=576.\n</reasoning>\nFinal Answer: 576"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 22 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 20+484-1=503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 13 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 13 = 208 worker-days. New time = 208 / 7 = 29.7143 days.\n</reasoning>\nFinal Answer: 29.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 2 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 10 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 5x = -70. Divide by 5: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 551 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 551 × (1 + 70/100) = 551 × 1.7 = 936.7.\n</reasoning>\nFinal Answer: 936.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -910 ÷ 706"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -910 by 706. -910 ÷ 706 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -291 - -737"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -737 from -291: -291 - -737 = 446.\n</reasoning>\nFinal Answer: 446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/7 - 6/18. LCD = 21. Result = 29/21.\n</reasoning>\nFinal Answer: 29/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 584 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 584 × (1 - 60/100) = 584 × 0.4 = 233.6.\n</reasoning>\nFinal Answer: 233.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 45, 12, 32, 58, 86, 48, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 12 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 23 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 14+529-13=530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 5 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 32+25-38=19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 + 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/9 + 18/6. Common denominator = 9. Result = 32/9.\n</reasoning>\nFinal Answer: 32/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -703 + 526"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -703 and 526: -703 + 526 = -177.\n</reasoning>\nFinal Answer: -177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 726?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 726 = (40/100) × 726 = 290.4.\n</reasoning>\nFinal Answer: 290.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -668 - -871"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -871 from -668: -668 - -871 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"arithmetic",
"computation"
] |
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