messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [56, 18, 15, 96, 100, 85, 11, 70, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 18: 1, 15: 1, 96: 1, 100: 1, 85: 1, 11: 1, 70: 1, 87: 1}. Most frequent: [56, 18, 15, 96, 100, 85, 11, 70, 87].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 296 + 173"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 296 and 173: 296 + 173 = 469.\n</reasoning>\nFinal Answer: 469"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 178 km/h. How far does it travel in 2 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 38/60 = 2.6333 hours. Distance = speed × time = 178 × 2.6333 = 468.7333 km.\n</reasoning>\nFinal Answer: 468.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 163 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 163 × (1 + 10/100) = 163 × 1.1 = 179.3.\n</reasoning>\nFinal Answer: 179.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (4)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×4×0 = 16. √discriminant = 4. x = (-(4) ± 4) / (2×4). Solutions: x = -1 or x = 0.\n</reasoning>\nFinal Answer: x = -1 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [3, 14, 16, 17, 18] and B = [3, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [14, 17].\n</reasoning>\nFinal Answer: [14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 359 × -897"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 359 by -897: 359 × -897 = -322023.\n</reasoning>\nFinal Answer: -322023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -264 mod 529"
},
{
"role": "assistant",
"content": "<reasoning>\n-264 mod 529: -264 = 529 × -1 + 265, so remainder = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 28, 57, 59, 7, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 7 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 13, 73, 11, 56, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 13: 1, 73: 1, 11: 1, 56: 1, 89: 1}. Most frequent: [30, 13, 73, 11, 56, 89].\n</reasoning>\nFinal Answer: [30, 13, 73, 11, 56, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 52 = 4316.\n</reasoning>\nFinal Answer: 4316"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 28 * 35 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×35=980, then 25+980-11=994.\n</reasoning>\nFinal Answer: 994"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 6) * (42 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+6)=48, (42-29)=13, then 48×13=624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 43 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 43 × (1 + 10/100) = 43 × 1.1 = 47.3.\n</reasoning>\nFinal Answer: 47.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3295 at 9% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3295 × 9 × 10 / 100 = 2965.5.\n</reasoning>\nFinal Answer: 2965.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 77 = 3734.5.\n</reasoning>\nFinal Answer: 3734.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 34, 90, 9, 63, 80, 47, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 422/8 = 52.75.\n</reasoning>\nFinal Answer: 52.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 12, 14, 16, 18] and B = [3, 6, 9, 11, 16, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 12, 14].\n</reasoning>\nFinal Answer: [2, 4, 12, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 / 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/5) ÷ (11/18) = (7/5) × (18/11) = 126/55.\n</reasoning>\nFinal Answer: 126/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -87 + -668"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -87 and -668: -87 + -668 = -755.\n</reasoning>\nFinal Answer: -755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -675 mod 133"
},
{
"role": "assistant",
"content": "<reasoning>\n-675 mod 133: -675 = 133 × -6 + 123, so remainder = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -905 × -994"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -905 by -994: -905 × -994 = 899570.\n</reasoning>\nFinal Answer: 899570"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 27 * 6 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×6=162, then 48+162-12=198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 + 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/12 + 14/13. Common denominator = 39. Result = 55/39.\n</reasoning>\nFinal Answer: 55/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 2 + 27 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×2=78 and 27×18=486, then add: 564.\n</reasoning>\nFinal Answer: 564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 17) * (18 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+17)=46, (18-36)=-18, then 46×-18=-828.\n</reasoning>\nFinal Answer: -828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 12 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 31/60 = 12.5167 hours. Distance = speed × time = 120 × 12.5167 = 1502.0 km.\n</reasoning>\nFinal Answer: 1502.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 46) * (18 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+46)=92, (18-27)=-9, then 92×-9=-828.\n</reasoning>\nFinal Answer: -828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 4 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 54/60 = 4.9000 hours. Distance = speed × time = 185 × 4.9000 = 906.5 km.\n</reasoning>\nFinal Answer: 906.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 420 - -47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from 420: 420 - -47 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:42 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/42, so B = A × (42/12) = 98 × 42/12 = 343.0.\n</reasoning>\nFinal Answer: 343.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:2 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/2, so B = A × (2/48) = 80 × 2/48 = 3.3333.\n</reasoning>\nFinal Answer: 3.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 309 + 281"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 309 and 281: 309 + 281 = 590.\n</reasoning>\nFinal Answer: 590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 26 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 26+676-27=675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 74, 88, 60, 45, 77, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 74: 1, 88: 1, 60: 1, 45: 1, 77: 1, 57: 1}. Most frequent: [43, 74, 88, 60, 45, 77, 57].\n</reasoning>\nFinal Answer: [43, 74, 88, 60, 45, 77... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 6, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (42-1)×6 = 23 + 246 = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29693 at 19% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29693 × 19 × 2 / 100 = 11283.34.\n</reasoning>\nFinal Answer: 11283.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 7 = -233"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 20x = -240. Divide by 20: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 30 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 16x = 112. Divide by 16: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -896 + 780"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -896 and 780: -896 + 780 = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 274 ÷ -911"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 274 by -911. 274 ÷ -911 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -435 × 762"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -435 by 762: -435 × 762 = -331470.\n</reasoning>\nFinal Answer: -331470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 6 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 9+36-19=26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 20, 30, 40, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 10. Next term = 50 + 10 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 14 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 23x = -115. Divide by 23: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 981 mod 623"
},
{
"role": "assistant",
"content": "<reasoning>\n981 mod 623: 981 = 623 × 1 + 358, so remainder = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -545 + -517"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -545 and -517: -545 + -517 = -1062.\n</reasoning>\nFinal Answer: -1062"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 25) * (2 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+25)=63, (2-16)=-14, then 63×-14=-882.\n</reasoning>\nFinal Answer: -882"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/12) ÷ (5/20) = (2/12) × (20/5) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹828. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 828 × 12/100 = 99.36. Total = 828 + 99.36 = 927.36.\n</reasoning>\nFinal Answer: 927.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:30 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/30, so B = A × (30/21) = 75 × 30/21 = 107.1429.\n</reasoning>\nFinal Answer: 107.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 30 * 12 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×12=360, then 21+360-36=345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 21 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 21 = 168 worker-days. New time = 168 / 7 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2151. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2151 × 12/100 = 258.12. Total = 2151 + 258.12 = 2409.12.\n</reasoning>\nFinal Answer: 2409.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:34 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/34, so B = A × (34/27) = 80 × 34/27 = 100.7407.\n</reasoning>\nFinal Answer: 100.7407"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 25 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+25) × 28 = 938.0.\n</reasoning>\nFinal Answer: 938.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 + 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/17 + 6/11. Common denominator = 11. Result = 17/11.\n</reasoning>\nFinal Answer: 17/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -748 mod -590"
},
{
"role": "assistant",
"content": "<reasoning>\n-748 mod -590: -748 = -590 × 1 + -158, so remainder = -158.\n</reasoning>\nFinal Answer: -158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 106 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 106 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 12 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 12 × 95 = 570.0.\n</reasoning>\nFinal Answer: 570.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:14 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/14, so B = A × (14/15) = 10 × 14/15 = 9.3333.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 592 × -576"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 592 by -576: 592 × -576 = -340992.\n</reasoning>\nFinal Answer: -340992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 229 - 961"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 961 from 229: 229 - 961 = -732.\n</reasoning>\nFinal Answer: -732"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 21 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 21 = 315 worker-days. New time = 315 / 2 = 157.5 days.\n</reasoning>\nFinal Answer: 157.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 12, 14, 15, 19] and B = [3, 4, 5, 11, 14, 15, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 7, 11, 12, 14, 15, 17, 18, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 974 + 628"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 974 and 628: 974 + 628 = 1602.\n</reasoning>\nFinal Answer: 1602"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 63, 60, 61, 98, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 63: 1, 60: 1, 61: 1, 98: 1, 84: 1}. Most frequent: [69, 63, 60, 61, 98, 84].\n</reasoning>\nFinal Answer: [69, 63, 60, 61, 98, 84]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 28 = 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 14x = 294. Divide by 14: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 22 = 190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 12x = 168. Divide by 12: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 43, 100, 99, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/5 = 64.6.\n</reasoning>\nFinal Answer: 64.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -501 ÷ -757"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -501 by -757. -501 ÷ -757 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -545 mod 132"
},
{
"role": "assistant",
"content": "<reasoning>\n-545 mod 132: -545 = 132 × -5 + 115, so remainder = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 100 = 9000.\n</reasoning>\nFinal Answer: 9000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 39 apples and buys 174 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 39 + 174 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 19, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (38-1)×19 = 18 + 703 = 721.\n</reasoning>\nFinal Answer: 721"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 60 = 990.0.\n</reasoning>\nFinal Answer: 990.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 7 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 7 = 21 worker-days. New time = 21 / 9 = 2.3333 days.\n</reasoning>\nFinal Answer: 2.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:23 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/23, so B = A × (23/28) = 30 × 23/28 = 24.6429.\n</reasoning>\nFinal Answer: 24.6429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -422 mod -678"
},
{
"role": "assistant",
"content": "<reasoning>\n-422 mod -678: -422 = -678 × 0 + -422, so remainder = -422.\n</reasoning>\nFinal Answer: -422"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 + 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/10 + 1/20. Common denominator = 20. Result = 9/20.\n</reasoning>\nFinal Answer: 9/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "219 is what percentage of 280?"
},
{
"role": "assistant",
"content": "<reasoning>\n(219/280) × 100 = 78.2143%.\n</reasoning>\nFinal Answer: 78.2143%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/4 = 0.25.\n</reasoning>\nFinal Answer: 0.25"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:40 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/40, so B = A × (40/12) = 1 × 40/12 = 3.3333.\n</reasoning>\nFinal Answer: 3.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -360 mod -552"
},
{
"role": "assistant",
"content": "<reasoning>\n-360 mod -552: -360 = -552 × 0 + -360, so remainder = -360.\n</reasoning>\nFinal Answer: -360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 15, 98, 93, 65, 37, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 8 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 * 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/14) × (19/18) = (57/252) = 19/84 after simplification.\n</reasoning>\nFinal Answer: 19/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 7 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 17/60 = 7.2833 hours. Distance = speed × time = 142 × 7.2833 = 1034.2333 km.\n</reasoning>\nFinal Answer: 1034.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -434 ÷ 925"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -434 by 925. -434 ÷ 925 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 67 = 435.5.\n</reasoning>\nFinal Answer: 435.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 23 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 17+529-35=511.\n</reasoning>\nFinal Answer: 511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 / 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/4) ÷ (10/1) = (2/4) × (1/10) = 1/20.\n</reasoning>\nFinal Answer: 1/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 30, 61, 6, 97, 64, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 30: 1, 61: 2, 6: 1, 97: 1, 64: 1}. Most frequent: 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 6, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (30-1)×6 = 10 + 174 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 * 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/7) × (14/17) = (182/119) = 26/17 after simplification.\n</reasoning>\nFinal Answer: 26/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 15/18. Common denominator = 42. Result = 19/21.\n</reasoning>\nFinal Answer: 19/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "135 is what percentage of 462?"
},
{
"role": "assistant",
"content": "<reasoning>\n(135/462) × 100 = 29.2208%.\n</reasoning>\nFinal Answer: 29.2208%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 28, 63, 91, 73, 21, 42, 42, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 28, 42, 42, 63, 73, 84, 91, 98]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 448 + -916"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 448 and -916: 448 + -916 = -468.\n</reasoning>\nFinal Answer: -468"
}
] | medium | [
"arithmetic",
"computation"
] |
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