messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 415 ÷ 164"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 415 by 164. 415 ÷ 164 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 35, 6, 21, 86, 18, 13, 53, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 35: 1, 6: 1, 21: 1, 86: 2, 18: 1, 13: 1, 53: 1}. Most frequent: 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 * 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/9) × (20/16) = (400/144) = 25/9 after simplification.\n</reasoning>\nFinal Answer: 25/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 37 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 30+1369-1=1398.\n</reasoning>\nFinal Answer: 1398"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 587 mod 431"
},
{
"role": "assistant",
"content": "<reasoning>\n587 mod 431: 587 = 431 × 1 + 156, so remainder = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 19) * (33 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+19)=63, (33-10)=23, then 63×23=1449.\n</reasoning>\nFinal Answer: 1449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 86, 63, 88, 90, 81, 16, 3, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 86: 1, 63: 1, 88: 1, 90: 1, 81: 1, 16: 1, 3: 1, 99: 1}. Most frequent: [58, 86, 63, 88, 90, 81, 16, 3, 99].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -762 + 867"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -762 and 867: -762 + 867 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/19) × (2/7) = (24/133) = 24/133 after simplification.\n</reasoning>\nFinal Answer: 24/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 581 km apart. Their speeds are 50 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+84=134 km/h. Time = 581/134 = 4.3358 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 383 ÷ 647"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 383 by 647. 383 ÷ 647 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 94 = 5452.\n</reasoning>\nFinal Answer: 5452"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 1, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (15-1)×1 = 31 + 14 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 44 * 22 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×22=968, then 8+968-33=943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 13 = 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 15x = 330. Divide by 15: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 30."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 30 by smallest primes repeatedly: 30 = 2 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -163 + -38"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -163 and -38: -163 + -38 = -201.\n</reasoning>\nFinal Answer: -201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (40)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 40² - 4×4×36 = 1024. √discriminant = 32. x = (-(40) ± 32) / (2×4). Solutions: x = -9 or x = -1.\n</reasoning>\nFinal Answer: x = -9 or x = -1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 9, 10, 17, 18] and B = [2, 3, 7], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 7, 8, 9, 10, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 7, 8, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14457 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14457 × 17 × 7 / 100 = 17203.83.\n</reasoning>\nFinal Answer: 17203.83"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 16, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (39-1)×16 = 26 + 608 = 634.\n</reasoning>\nFinal Answer: 634"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 98, 69, 80, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 360/5 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -197 mod -928"
},
{
"role": "assistant",
"content": "<reasoning>\n-197 mod -928: -197 = -928 × 0 + -197, so remainder = -197.\n</reasoning>\nFinal Answer: -197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 162 km apart. Their speeds are 64 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+114=178 km/h. Time = 162/178 = 0.9101 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹829. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 829 × 28/100 = 232.12. Total = 829 + 232.12 = 1061.12.\n</reasoning>\nFinal Answer: 1061.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39648 at 4% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39648 × 4 × 1 / 100 = 1585.92.\n</reasoning>\nFinal Answer: 1585.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:5 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/5, so B = A × (5/34) = 50 × 5/34 = 7.3529.\n</reasoning>\nFinal Answer: 7.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:10 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/10, so B = A × (10/41) = 64 × 10/41 = 15.6098.\n</reasoning>\nFinal Answer: 15.6098"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×17)/1 = 680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹1585. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1585 × 18/100 = 285.3. Total = 1585 + 285.3 = 1870.3.\n</reasoning>\nFinal Answer: 1870.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 79, 70, 64, 93, 83, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 402/7 = 57.4286.\n</reasoning>\nFinal Answer: 57.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -769 ÷ 850"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -769 by 850. -769 ÷ 850 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 62, 77, 92, 107]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 15. Next term = 107 + 15 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -912 × 994"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -912 by 994: -912 × 994 = -906528.\n</reasoning>\nFinal Answer: -906528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 902 - -430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -430 from 902: 902 - -430 = 1332.\n</reasoning>\nFinal Answer: 1332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "176 is what percentage of 461?"
},
{
"role": "assistant",
"content": "<reasoning>\n(176/461) × 100 = 38.1779%.\n</reasoning>\nFinal Answer: 38.1779%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 60% of 99?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 99 = (60/100) × 99 = 59.4.\n</reasoning>\nFinal Answer: 59.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 47 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+47) × 12 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/12 + 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/12 + 4/16. Common denominator = 12. Result = 19/12.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -147 mod -51"
},
{
"role": "assistant",
"content": "<reasoning>\n-147 mod -51: -147 = -51 × 2 + -45, so remainder = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 835 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 835 × (1 + 75/100) = 835 × 1.75 = 1461.25.\n</reasoning>\nFinal Answer: 1461.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 42 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 20x = 160. Divide by 20: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 54, 35, 44, 94, 3, 9, 14, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 54: 1, 35: 1, 44: 1, 94: 1, 3: 1, 9: 1, 14: 1, 23: 1}. Most frequent: [92, 54, 35, 44, 94, 3, 9, 14, 23].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×18)/1 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 349."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 349 by smallest primes repeatedly: 349 = 349.\n</reasoning>\nFinal Answer: 349"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Increase 143 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 143 × (1 + 5/100) = 143 × 1.05 = 150.15.\n</reasoning>\nFinal Answer: 150.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 748 km apart. Their speeds are 86 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+103=189 km/h. Time = 748/189 = 3.9577 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 945?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 945 = (10/100) × 945 = 94.5.\n</reasoning>\nFinal Answer: 94.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 297?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 297 = (15/100) × 297 = 44.55.\n</reasoning>\nFinal Answer: 44.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 53 = 4293.\n</reasoning>\nFinal Answer: 4293"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:37 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/37, so B = A × (37/22) = 6 × 37/22 = 10.0909.\n</reasoning>\nFinal Answer: 10.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [11, 15, 18] and B = [1, 3, 6, 7, 12, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 15, 18].\n</reasoning>\nFinal Answer: [11, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -924 - 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 62 from -924: -924 - 62 = -986.\n</reasoning>\nFinal Answer: -986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 44 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 7x = -238. Divide by 7: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 604 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 604 × (1 - 25/100) = 604 × 0.75 = 453.0.\n</reasoning>\nFinal Answer: 453.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -254 ÷ -252"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -254 by -252. -254 ÷ -252 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -1 = 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 14x = 700. Divide by 14: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 44) * (1 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+44)=85, (1-24)=-23, then 85×-23=-1955.\n</reasoning>\nFinal Answer: -1955"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -885 - -204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -204 from -885: -885 - -204 = -681.\n</reasoning>\nFinal Answer: -681"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 3, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (30-1)×3 = 18 + 87 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/15 + 4/13. Common denominator = 195. Result = 203/195.\n</reasoning>\nFinal Answer: 203/195"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 + 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/10 + 13/4. Common denominator = 20. Result = 87/20.\n</reasoning>\nFinal Answer: 87/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 69, 33, 88, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 69: 1, 33: 1, 88: 1, 82: 1}. Most frequent: [95, 69, 33, 88, 82].\n</reasoning>\nFinal Answer: [95, 69, 33, 88, 82]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 128 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 80 mod -827"
},
{
"role": "assistant",
"content": "<reasoning>\n80 mod -827: 80 = -827 × -1 + -747, so remainder = -747.\n</reasoning>\nFinal Answer: -747"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 + 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/13 + 18/17. Common denominator = 221. Result = 285/221.\n</reasoning>\nFinal Answer: 285/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 35 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+35) × 25 = 1037.5.\n</reasoning>\nFinal Answer: 1037.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9147 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9147 × 6 × 10 / 100 = 5488.2.\n</reasoning>\nFinal Answer: 5488.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3097. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3097 × 28/100 = 867.16. Total = 3097 + 867.16 = 3964.16.\n</reasoning>\nFinal Answer: 3964.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 98, 62, 79, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/5 = 62.2.\n</reasoning>\nFinal Answer: 62.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 56 = 1008.\n</reasoning>\nFinal Answer: 1008"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 38 * 44 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×44=1672, then 39+1672-42=1669.\n</reasoning>\nFinal Answer: 1669"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 80% of 864?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 864 = (80/100) × 864 = 691.2.\n</reasoning>\nFinal Answer: 691.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×50)/1 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 562 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 562 × (1 + 50/100) = 562 × 1.5 = 843.0.\n</reasoning>\nFinal Answer: 843.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 8, 10, 12, 14] and B = [2, 4, 5, 8, 10, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 12].\n</reasoning>\nFinal Answer: [3, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 11 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 48/60 = 11.8000 hours. Distance = speed × time = 193 × 11.8000 = 2277.4 km.\n</reasoning>\nFinal Answer: 2277.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 26 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+26) × 18 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 9, 11, 13] and B = [2, 6, 7, 11, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 9, 13, 14, 15].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 27, 54, 55, 66, 19, 85, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 27: 1, 54: 1, 55: 1, 66: 1, 19: 1, 85: 1, 96: 1}. Most frequent: [76, 27, 54, 55, 66, 19, 85, 96].\n</reasoning>\nFinal Answer: [76, 27,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "20 is what percentage of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/342) × 100 = 5.848%.\n</reasoning>\nFinal Answer: 5.848%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:5 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/5, so B = A × (5/3) = 51 × 5/3 = 85.0.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 / 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/15) ÷ (1/8) = (1/15) × (8/1) = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:12 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/12, so B = A × (12/16) = 14 × 12/16 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 408."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 408 by smallest primes repeatedly: 408 = 2 × 2 × 2 × 3 × 17.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 + 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/4 + 9/1. Common denominator = 4. Result = 49/4.\n</reasoning>\nFinal Answer: 49/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 185 - 514"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 514 from 185: 185 - 514 = -329.\n</reasoning>\nFinal Answer: -329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 8 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 8 = 16 worker-days. New time = 16 / 19 = 0.8421 days.\n</reasoning>\nFinal Answer: 0.8421"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:39 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/39, so B = A × (39/41) = 58 × 39/41 = 55.1707.\n</reasoning>\nFinal Answer: 55.1707"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 9, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (16-1)×9 = 4 + 135 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39608 at 12% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39608 × 12 × 5 / 100 = 23764.8.\n</reasoning>\nFinal Answer: 23764.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 + 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/5 + 3/15. Common denominator = 5. Result = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 90, 40, 87, 87, 16, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 2, 90: 1, 87: 2, 16: 1, 23: 1}. Most frequent: [40, 87].\n</reasoning>\nFinal Answer: [40, 87]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:36 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/36, so B = A × (36/26) = 2 × 36/26 = 2.7692.\n</reasoning>\nFinal Answer: 2.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 * 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/19) × (15/3) = (150/57) = 50/19 after simplification.\n</reasoning>\nFinal Answer: 50/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 442 × 160"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 442 by 160: 442 × 160 = 70720.\n</reasoning>\nFinal Answer: 70720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -696 + -671"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -696 and -671: -696 + -671 = -1367.\n</reasoning>\nFinal Answer: -1367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 21, 56, 27, 40, 60, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 21: 1, 56: 1, 27: 1, 40: 1, 60: 1, 28: 1}. Most frequent: [80, 21, 56, 27, 40, 60, 28].\n</reasoning>\nFinal Answer: [80, 21, 56, 27, 40, 60... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -511 ÷ -985"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -511 by -985. -511 ÷ -985 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:9 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/9, so B = A × (9/26) = 76 × 9/26 = 26.3077.\n</reasoning>\nFinal Answer: 26.3077"
}
] | medium | [
"ratio",
"proportion"
] |
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