messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 14:43 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/43, so B = A × (43/14) = 6 × 43/14 = 18.4286.\n</reasoning>\nFinal Answer: 18.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -122 × 957"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -122 by 957: -122 × 957 = -116754.\n</reasoning>\nFinal Answer: -116754"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -823 - 402"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 402 from -823: -823 - 402 = -1225.\n</reasoning>\nFinal Answer: -1225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/9) ÷ (17/14) = (7/9) × (14/17) = 98/153.\n</reasoning>\nFinal Answer: 98/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -564 - 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 704 from -564: -564 - 704 = -1268.\n</reasoning>\nFinal Answer: -1268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:34 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/34, so B = A × (34/17) = 56 × 34/17 = 112.0.\n</reasoning>\nFinal Answer: 112.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 65 = 747.5.\n</reasoning>\nFinal Answer: 747.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 93, 14, 30, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 93: 1, 14: 1, 30: 1, 33: 1}. Most frequent: [5, 93, 14, 30, 33].\n</reasoning>\nFinal Answer: [5, 93, 14, 30, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 35, 75, 48, 81, 25, 69, 91, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 35: 1, 75: 1, 48: 1, 81: 1, 25: 1, 69: 1, 91: 1, 88: 1}. Most frequent: [92, 35, 75, 48, 81, 25, 69, 91, 88].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -652 - 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 652 from -652: -652 - 652 = -1304.\n</reasoning>\nFinal Answer: -1304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 15, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (36-1)×15 = 3 + 525 = 528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 55 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 55 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 336 mod 643"
},
{
"role": "assistant",
"content": "<reasoning>\n336 mod 643: 336 = 643 × 0 + 336, so remainder = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 - 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/13 - 7/16. LCD = 208. Result = 149/208.\n</reasoning>\nFinal Answer: 149/208"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 15, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (19-1)×15 = 32 + 270 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 10, 19] and B = [6, 11, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 9, 10, 11, 14, 17, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 2 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 39+4-22=21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 11] and B = [1, 3, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 7, 9, 11, 17, 18].\n</reasoning>\nFinal Answer: [1, 3, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 507 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 507 × (1 - 15/100) = 507 × 0.85 = 430.95.\n</reasoning>\nFinal Answer: 430.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 27 = -57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 14x = -84. Divide by 14: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (33)x + (90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 33² - 4×3×90 = 9. √discriminant = 3. x = (-(33) ± 3) / (2×3). Solutions: x = -6 or x = -5.\n</reasoning>\nFinal Answer: x = -6 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 14, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (33-1)×14 = 42 + 448 = 490.\n</reasoning>\nFinal Answer: 490"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 10, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (10-1)×10 = 7 + 90 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 34) * (3 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+34)=54, (3-1)=2, then 54×2=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -24 = -794"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 22x = -770. Divide by 22: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -35 = -1195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 29x = -1160. Divide by 29: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 765?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 765 = (80/100) × 765 = 612.0.\n</reasoning>\nFinal Answer: 612.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 3. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 3 ≈ 18.8496.\n</reasoning>\nFinal Answer: 18.8496"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: -159 ÷ 250"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -159 by 250. -159 ÷ 250 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -235 × 511"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -235 by 511: -235 × 511 = -120085.\n</reasoning>\nFinal Answer: -120085"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 19 + 24 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×19=380 and 24×42=1008, then add: 1388.\n</reasoning>\nFinal Answer: 1388"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 21 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 12, 49, 70, 22, 12, 66, 55, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 12: 2, 49: 1, 70: 1, 22: 1, 66: 1, 55: 1, 1: 1}. Most frequent: 12.\n</reasoning>\nFinal Answer: 12"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 52 km/h. How far does it travel in 8 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 38/60 = 8.6333 hours. Distance = speed × time = 52 × 8.6333 = 448.9333 km.\n</reasoning>\nFinal Answer: 448.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 11 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 16x = 224. Divide by 16: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -13 = -111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 14x = -98. Divide by 14: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:1 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/1, so B = A × (1/27) = 13 × 1/27 = 0.4815.\n</reasoning>\nFinal Answer: 0.4815"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -781 mod -829"
},
{
"role": "assistant",
"content": "<reasoning>\n-781 mod -829: -781 = -829 × 0 + -781, so remainder = -781.\n</reasoning>\nFinal Answer: -781"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 19 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 33+361-23=371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "769 is what percentage of 993?"
},
{
"role": "assistant",
"content": "<reasoning>\n(769/993) × 100 = 77.4421%.\n</reasoning>\nFinal Answer: 77.4421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 25 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 1x = 18. Divide by 1: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 23, 29, 46, 9, 21, 34, 5, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 46 - 5 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 3, 33, 80, 36, 8, 27, 98, 57, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 3: 1, 33: 1, 80: 1, 36: 1, 8: 1, 27: 1, 98: 1, 57: 1, 12: 1}. Most frequent: [99, 3, 33, 80, 36, 8, 27, 98, 57, 12].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 547 ÷ -647"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 547 by -647. 547 ÷ -647 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 60 and 81."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(60,81) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 9 * 44 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×44=396, then 49+396-41=404.\n</reasoning>\nFinal Answer: 404"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -28 = -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 23x = -598. Divide by 23: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 * 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/1) × (3/6) = (3/6) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 / 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/2) ÷ (13/7) = (13/2) × (7/13) = 7/2.\n</reasoning>\nFinal Answer: 7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 / 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/17) ÷ (13/10) = (3/17) × (10/13) = 30/221.\n</reasoning>\nFinal Answer: 30/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹177. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 177 × 12/100 = 21.24. Total = 177 + 21.24 = 198.24.\n</reasoning>\nFinal Answer: 198.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 21 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 33+441-21=453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 20 * 47 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×47=940, then 20+940-4=956.\n</reasoning>\nFinal Answer: 956"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 693 - 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 314 from 693: 693 - 314 = 379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 83, 66, 14, 25, 32, 51, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 11 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the square root of 441."
},
{
"role": "assistant",
"content": "<reasoning>\n√441 = 21 because 21² = 441.\n</reasoning>\nFinal Answer: 21"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 46) * (43 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+46)=69, (43-31)=12, then 69×12=828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -17 = 1433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 29x = 1450. Divide by 29: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 54, 34, 87, 49, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 49, 54, 64, 85, 87]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 80% of 6?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 6 = (80/100) × 6 = 4.8.\n</reasoning>\nFinal Answer: 4.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 6, 11, 12] and B = [2, 4, 5, 11, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 6].\n</reasoning>\nFinal Answer: [1, 3, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 29 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 29 = 522 worker-days. New time = 522 / 10 = 52.2 days.\n</reasoning>\nFinal Answer: 52.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 396 mod -164"
},
{
"role": "assistant",
"content": "<reasoning>\n396 mod -164: 396 = -164 × -3 + -96, so remainder = -96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 897 mod 920"
},
{
"role": "assistant",
"content": "<reasoning>\n897 mod 920: 897 = 920 × 0 + 897, so remainder = 897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -80 ÷ -939"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -80 by -939. -80 ÷ -939 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13289 at 20% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13289 × 20 × 4 / 100 = 10631.2.\n</reasoning>\nFinal Answer: 10631.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:34 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/34, so B = A × (34/40) = 52 × 34/40 = 44.2.\n</reasoning>\nFinal Answer: 44.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 23 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 23 = 391 worker-days. New time = 391 / 17 = 23.0 days.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 / 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/8) ÷ (8/19) = (4/8) × (19/8) = 19/16.\n</reasoning>\nFinal Answer: 19/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 - 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/11 - 7/3. LCD = 33. Result = -17/33.\n</reasoning>\nFinal Answer: -17/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 75% of 420?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 420 = (75/100) × 420 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 27 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 21+729-48=702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 23 * 40 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×40=920, then 27+920-1=946.\n</reasoning>\nFinal Answer: 946"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 43, 97, 65, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 2 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 32) * (1 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+32)=57, (1-31)=-30, then 57×-30=-1710.\n</reasoning>\nFinal Answer: -1710"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 316 × -539"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 316 by -539: 316 × -539 = -170324.\n</reasoning>\nFinal Answer: -170324"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -719 × 485"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -719 by 485: -719 × 485 = -348715.\n</reasoning>\nFinal Answer: -348715"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 590 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 590 × (1 + 65/100) = 590 × 1.65 = 973.5.\n</reasoning>\nFinal Answer: 973.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 3 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 37+9-17=29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 10 = 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 2x = 46. Divide by 2: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -48 = 1240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 28x = 1288. Divide by 28: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -394 + 665"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -394 and 665: -394 + 665 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 17, 19] and B = [2, 11, 13, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 7, 19].\n</reasoning>\nFinal Answer: [6, 7, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 22 + 49 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×22=550 and 49×11=539, then add: 1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 3 = -1026"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 21x = -1029. Divide by 21: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 + 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/19 + 3/14. Common denominator = 266. Result = 281/266.\n</reasoning>\nFinal Answer: 281/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 39) * (2 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+39)=79, (2-28)=-26, then 79×-26=-2054.\n</reasoning>\nFinal Answer: -2054"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -17 = 757"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 18x = 774. Divide by 18: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 37 = 3478.\n</reasoning>\nFinal Answer: 3478"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 48) * (2 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+48)=74, (2-50)=-48, then 74×-48=-3552.\n</reasoning>\nFinal Answer: -3552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 30 + 34 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×30=1230 and 34×24=816, then add: 2046.\n</reasoning>\nFinal Answer: 2046"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 * 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/2) × (19/19) = (323/38) = 17/2 after simplification.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 304 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 304 × (1 - 5/100) = 304 × 0.95 = 288.8.\n</reasoning>\nFinal Answer: 288.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 15] and B = [1, 4, 6, 7, 8, 9, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 6, 7, 9, 15, 17, 18].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 28 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 28 = 84 worker-days. New time = 84 / 13 = 6.4615 days.\n</reasoning>\nFinal Answer: 6.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:24 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/24, so B = A × (24/35) = 59 × 24/35 = 40.4571.\n</reasoning>\nFinal Answer: 40.4571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 8 = 588"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 20x = 580. Divide by 20: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:19 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/19, so B = A × (19/31) = 6 × 19/31 = 3.6774.\n</reasoning>\nFinal Answer: 3.6774"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 27 = 1782.\n</reasoning>\nFinal Answer: 1782"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 86, 14, 37, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 14 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
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