messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 19/5 / 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/5) ÷ (14/20) = (19/5) × (20/14) = 38/7.\n</reasoning>\nFinal Answer: 38/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 6, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (35-1)×6 = 33 + 204 = 237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -444 ÷ -760"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -444 by -760. -444 ÷ -760 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 9, 79, 59, 78, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 40, 45, 59, 78, 79]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4643. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4643 × 12/100 = 557.16. Total = 4643 + 557.16 = 5200.16.\n</reasoning>\nFinal Answer: 5200.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 75% of 322?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 322 = (75/100) × 322 = 241.5.\n</reasoning>\nFinal Answer: 241.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 - 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/11 - 8/17. LCD = 187. Result = 167/187.\n</reasoning>\nFinal Answer: 167/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 48, 68, 88, 108]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 20. Next term = 108 + 20 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 64, 9, 2, 35, 52, 3, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 64: 1, 9: 1, 2: 1, 35: 1, 52: 1, 3: 1, 94: 1}. Most frequent: [91, 64, 9, 2, 35, 52, 3, 94].\n</reasoning>\nFinal Answer: [91, 64, 9, 2, 35... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 762 km apart. Their speeds are 101 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+83=184 km/h. Time = 762/184 = 4.1413 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 45 * 24 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×24=1080, then 7+1080-15=1072.\n</reasoning>\nFinal Answer: 1072"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 49 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 19+2401-46=2374.\n</reasoning>\nFinal Answer: 2374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×2)/2 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -31 = 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 9x = 360. Divide by 9: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 29 = 99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 10x = 70. Divide by 10: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 34 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 48+1156-34=1170.\n</reasoning>\nFinal Answer: 1170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 / 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/19) ÷ (5/12) = (14/19) × (12/5) = 168/95.\n</reasoning>\nFinal Answer: 168/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 is what percentage of 67?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/67) × 100 = 2.9851%.\n</reasoning>\nFinal Answer: 2.9851%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 5 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 25x = 125. Divide by 25: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -11 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 12x = 72. Divide by 12: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32524 at 5% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32524 × 5 × 8 / 100 = 13009.6.\n</reasoning>\nFinal Answer: 13009.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 41, 49, 57, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 8. Next term = 65 + 8 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 268 mod 222"
},
{
"role": "assistant",
"content": "<reasoning>\n268 mod 222: 268 = 222 × 1 + 46, so remainder = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 40 = -150"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 10x = -190. Divide by 10: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:22 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/22, so B = A × (22/14) = 81 × 22/14 = 127.2857.\n</reasoning>\nFinal Answer: 127.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -69 - 467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 467 from -69: -69 - 467 = -536.\n</reasoning>\nFinal Answer: -536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 411 mod 781"
},
{
"role": "assistant",
"content": "<reasoning>\n411 mod 781: 411 = 781 × 0 + 411, so remainder = 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 228?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 228 = (7/100) × 228 = 15.96.\n</reasoning>\nFinal Answer: 15.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 23, 46, 83, 11, 93, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 23, 41, 46, 76, 83, 93]. Middle value(s) → median = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 43 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 43 × 67 = 2881.\n</reasoning>\nFinal Answer: 2881"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23551 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23551 × 10 × 7 / 100 = 16485.7.\n</reasoning>\nFinal Answer: 16485.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 322 × -349"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 322 by -349: 322 × -349 = -112378.\n</reasoning>\nFinal Answer: -112378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 0 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 21x = -84. Divide by 21: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 60, 28, 59, 50, 44, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 28 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 15) * (36 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+15)=50, (36-40)=-4, then 50×-4=-200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 12% of 659?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 659 = (12/100) × 659 = 79.08.\n</reasoning>\nFinal Answer: 79.08"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "315 is what percentage of 429?"
},
{
"role": "assistant",
"content": "<reasoning>\n(315/429) × 100 = 73.4266%.\n</reasoning>\nFinal Answer: 73.4266%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 16, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (18-1)×16 = 23 + 272 = 295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -28 = -878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 25x = -850. Divide by 25: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 273 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 273 × (1 + 35/100) = 273 × 1.35 = 368.55.\n</reasoning>\nFinal Answer: 368.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -3 = -9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 1x = -6. Divide by 1: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 15 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 20+225-9=236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (10/17) = (20/10) × (17/10) = 17/5.\n</reasoning>\nFinal Answer: 17/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 52 and 162."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(52,162) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 238 mod 70"
},
{
"role": "assistant",
"content": "<reasoning>\n238 mod 70: 238 = 70 × 3 + 28, so remainder = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 11 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+11) × 46 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30986 at 3% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30986 × 3 × 3 / 100 = 2788.74.\n</reasoning>\nFinal Answer: 2788.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 464 km apart. Their speeds are 85 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+70=155 km/h. Time = 464/155 = 2.9935 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 792 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 792 × (1 + 70/100) = 792 × 1.7 = 1346.4.\n</reasoning>\nFinal Answer: 1346.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 291."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 291 by smallest primes repeatedly: 291 = 3 × 97.\n</reasoning>\nFinal Answer: 3 × 97"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 713 ÷ -460"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 713 by -460. 713 ÷ -460 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 72, 73, 75, 44, 56, 27, 19, 67, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 612/10 = 61.2.\n</reasoning>\nFinal Answer: 61.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 319 mod 492"
},
{
"role": "assistant",
"content": "<reasoning>\n319 mod 492: 319 = 492 × 0 + 319, so remainder = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 39 + 40 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×39=1794 and 40×12=480, then add: 2274.\n</reasoning>\nFinal Answer: 2274"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 475 + 781"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 475 and 781: 475 + 781 = 1256.\n</reasoning>\nFinal Answer: 1256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 12 = 789"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 21x = 777. Divide by 21: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 2/6. LCD = 9. Result = 1/9.\n</reasoning>\nFinal Answer: 1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 54, 68, 58, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 1, 54: 1, 68: 1, 58: 1, 47: 1}. Most frequent: [52, 54, 68, 58, 47].\n</reasoning>\nFinal Answer: [52, 54, 68, 58, 47]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 60% of 683?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 683 = (60/100) × 683 = 409.8.\n</reasoning>\nFinal Answer: 409.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+8) = 2×80 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = -601"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = -624. Divide by 24: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 7, 9, 10, 11] and B = [1, 2, 7, 8, 10, 15, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 7, 10].\n</reasoning>\nFinal Answer: [1, 7, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 381 + -291"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 381 and -291: 381 + -291 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 189 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(189,76) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 8 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+8) × 16 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:29 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/29, so B = A × (29/7) = 43 × 29/7 = 178.1429.\n</reasoning>\nFinal Answer: 178.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 48) * (18 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+48)=71, (18-29)=-11, then 71×-11=-781.\n</reasoning>\nFinal Answer: -781"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 100 = 7700.\n</reasoning>\nFinal Answer: 7700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 97, 12, 37, 13, 88, 44, 46, 7, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 97: 1, 12: 1, 37: 1, 13: 2, 88: 1, 44: 1, 46: 1, 7: 1}. Most frequent: 13.\n</reasoning>\nFinal Answer: 13"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 295 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 295 × (1 - 75/100) = 295 × 0.25 = 73.75.\n</reasoning>\nFinal Answer: 73.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 - 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/15 - 20/3. LCD = 3. Result = -16/3.\n</reasoning>\nFinal Answer: -16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 1, 92, 73, 44, 65, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 1: 1, 92: 1, 73: 1, 44: 1, 65: 1, 52: 1}. Most frequent: [95, 1, 92, 73, 44, 65, 52].\n</reasoning>\nFinal Answer: [95, 1, 92, 73, 44, 65, 52... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16478 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16478 × 16 × 10 / 100 = 26364.8.\n</reasoning>\nFinal Answer: 26364.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:15 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/15, so B = A × (15/16) = 47 × 15/16 = 44.0625.\n</reasoning>\nFinal Answer: 44.0625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:36 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/36, so B = A × (36/12) = 8 × 36/12 = 24.0.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -9 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 9x = 216. Divide by 9: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 + 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/3 + 9/9. Common denominator = 3. Result = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -148 + -573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -148 and -573: -148 + -573 = -721.\n</reasoning>\nFinal Answer: -721"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 10 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 34+100-35=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 29 = 913.5.\n</reasoning>\nFinal Answer: 913.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -729 mod -576"
},
{
"role": "assistant",
"content": "<reasoning>\n-729 mod -576: -729 = -576 × 1 + -153, so remainder = -153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 12 = -313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 25x = -325. Divide by 25: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:40 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/40, so B = A × (40/15) = 28 × 40/15 = 74.6667.\n</reasoning>\nFinal Answer: 74.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 15/16. Common denominator = 240. Result = 353/240.\n</reasoning>\nFinal Answer: 353/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -39 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 9x = 108. Divide by 9: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 * 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/13) × (20/6) = (100/78) = 50/39 after simplification.\n</reasoning>\nFinal Answer: 50/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 788 km apart. Their speeds are 55 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+56=111 km/h. Time = 788/111 = 7.0991 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 25 = 875"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 974 mod 747"
},
{
"role": "assistant",
"content": "<reasoning>\n974 mod 747: 974 = 747 × 1 + 227, so remainder = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -38 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 13x = 273. Divide by 13: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 45 * 22 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×22=990, then 40+990-41=989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = 57. Divide by 19: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 5, 83, 19, 62, 46, 29, 64, 51, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/10 = 48.6.\n</reasoning>\nFinal Answer: 48.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -48 = -321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 13x = -273. Divide by 13: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 13, 15, 17] and B = [2, 7, 8, 12, 14, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 7, 17].\n</reasoning>\nFinal Answer: [2, 7, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:17 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/17, so B = A × (17/31) = 21 × 17/31 = 11.5161.\n</reasoning>\nFinal Answer: 11.5161"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 30, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 30 + 30 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 24 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+24) × 5 = 142.5.\n</reasoning>\nFinal Answer: 142.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -347 ÷ 653"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -347 by 653. -347 ÷ 653 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 63, 18, 77, 90, 66, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 63: 1, 18: 1, 77: 1, 90: 1, 66: 1, 100: 1}. Most frequent: [17, 63, 18, 77, 90, 66, 100].\n</reasoning>\nFinal Answer: [17, 63, 18, 77, 90,... | easy | [
"statistics",
"mode"
] |
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