messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 69 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 69 + 163 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 26, 34, 42, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 8. Next term = 50 + 8 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:39 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/39, so B = A × (39/30) = 73 × 39/30 = 94.9.\n</reasoning>\nFinal Answer: 94.9"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 391 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 391 × (1 - 15/100) = 391 × 0.85 = 332.35.\n</reasoning>\nFinal Answer: 332.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -252 ÷ -623"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -252 by -623. -252 ÷ -623 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 61, 81, 41, 58, 83, 58, 88, 32, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 557/10 = 55.7.\n</reasoning>\nFinal Answer: 55.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹278. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 278 × 5/100 = 13.9. Total = 278 + 13.9 = 291.9.\n</reasoning>\nFinal Answer: 291.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 169."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,169) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "78 is what percentage of 789?"
},
{
"role": "assistant",
"content": "<reasoning>\n(78/789) × 100 = 9.8859%.\n</reasoning>\nFinal Answer: 9.8859%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 8 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 8 × (1 - 40/100) = 8 × 0.6 = 4.8.\n</reasoning>\nFinal Answer: 4.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 812 - -272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -272 from 812: 812 - -272 = 1084.\n</reasoning>\nFinal Answer: 1084"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 774 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 774 × (1 - 50/100) = 774 × 0.5 = 387.0.\n</reasoning>\nFinal Answer: 387.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 417 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 417 × (1 + 90/100) = 417 × 1.9 = 792.3.\n</reasoning>\nFinal Answer: 792.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 215 km apart. Their speeds are 54 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+47=101 km/h. Time = 215/101 = 2.1287 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 - 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/20 - 4/17. LCD = 340. Result = -29/340.\n</reasoning>\nFinal Answer: -29/340"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/12 = 0.4167.\n</reasoning>\nFinal Answer: 0.4167"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -706 mod -724"
},
{
"role": "assistant",
"content": "<reasoning>\n-706 mod -724: -706 = -724 × 0 + -706, so remainder = -706.\n</reasoning>\nFinal Answer: -706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -648 ÷ -62"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -648 by -62. -648 ÷ -62 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 5 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 8x = 40. Divide by 8: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 / 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/2) ÷ (2/12) = (15/2) × (12/2) = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 5, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (32-1)×5 = 4 + 155 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:15 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/15, so B = A × (15/46) = 34 × 15/46 = 11.087.\n</reasoning>\nFinal Answer: 11.087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 552 ÷ 986"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 552 by 986. 552 ÷ 986 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:48 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/48, so B = A × (48/8) = 64 × 48/8 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 32 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+32) × 13 = 383.5.\n</reasoning>\nFinal Answer: 383.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 13 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 13 = 156 worker-days. New time = 156 / 19 = 8.2105 days.\n</reasoning>\nFinal Answer: 8.2105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 12 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 12 × (1 + 40/100) = 12 × 1.4 = 16.8.\n</reasoning>\nFinal Answer: 16.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -142 × -294"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -142 by -294: -142 × -294 = 41748.\n</reasoning>\nFinal Answer: 41748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 60, 3, 63, 30, 99, 14, 81, 22, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 3 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 8 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 50/60 = 8.8333 hours. Distance = speed × time = 152 × 8.8333 = 1342.6667 km.\n</reasoning>\nFinal Answer: 1342.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 12) * (10 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+12)=13, (10-40)=-30, then 13×-30=-390.\n</reasoning>\nFinal Answer: -390"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:39 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/39, so B = A × (39/19) = 1 × 39/19 = 2.0526.\n</reasoning>\nFinal Answer: 2.0526"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 4, 30, 42, 60, 40, 39, 4, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 4: 2, 30: 1, 42: 1, 60: 1, 40: 1, 39: 1, 79: 1}. Most frequent: 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 34, 12, 57, 50, 57, 27, 19, 80, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 15, 19, 27, 34, 50, 57, 57, 80]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 63, 9, 49, 67, 87, 21, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 63: 1, 9: 1, 49: 1, 67: 1, 87: 1, 21: 1, 13: 1}. Most frequent: [27, 63, 9, 49, 67, 87, 21, 13].\n</reasoning>\nFinal Answer: [27, 63, 9,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 743 - 450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 450 from 743: 743 - 450 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 6 + 5 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×6=222 and 5×39=195, then add: 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 - 8/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/17 - 8/5. LCD = 85. Result = -36/85.\n</reasoning>\nFinal Answer: -36/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 / 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/9) ÷ (7/15) = (11/9) × (15/7) = 55/21.\n</reasoning>\nFinal Answer: 55/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×21)/3 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 90, 22, 22, 9, 77, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 9 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 80 mod 641"
},
{
"role": "assistant",
"content": "<reasoning>\n80 mod 641: 80 = 641 × 0 + 80, so remainder = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 41 = 525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 * 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/4) × (13/14) = (104/56) = 13/7 after simplification.\n</reasoning>\nFinal Answer: 13/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 37 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 37 + 97 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 683 ÷ -852"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 683 by -852. 683 ÷ -852 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 62, 48, 91, 24, 56, 56, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 62: 1, 48: 1, 91: 1, 24: 1, 56: 2, 100: 1}. Most frequent: 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 43 + 48 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×43=1505 and 48×33=1584, then add: 3089.\n</reasoning>\nFinal Answer: 3089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/16 + 1/1. Common denominator = 4. Result = 5/4.\n</reasoning>\nFinal Answer: 5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 * 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/18) × (12/15) = (156/270) = 26/45 after simplification.\n</reasoning>\nFinal Answer: 26/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 132 ÷ -244"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 132 by -244. 132 ÷ -244 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 1 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+1) × 2 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 964 km apart. Their speeds are 61 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+110=171 km/h. Time = 964/171 = 5.6374 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 193 and 73."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(193,73) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 34, 55, 31, 97, 31, 35, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 31, 31, 34, 35, 55, 57, 97]. Middle value(s) → median = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 32 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 46 mod -891"
},
{
"role": "assistant",
"content": "<reasoning>\n46 mod -891: 46 = -891 × -1 + -845, so remainder = -845.\n</reasoning>\nFinal Answer: -845"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (14/20) = (3/4) × (20/14) = 15/14.\n</reasoning>\nFinal Answer: 15/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 79, 77, 99, 57, 62, 6, 98, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 57, 62, 77, 79, 89, 98, 98, 99]. Middle value(s) → median = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -48 = 176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 8x = 224. Divide by 8: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 31, 31, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 31 + 31 + 36 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -25 = -690"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 19x = -665. Divide by 19: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (5/15) = (20/5) × (15/5) = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 10, 11, 13, 15, 16] and B = [2, 4, 5, 11, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 10, 13, 15].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 58 = 696.\n</reasoning>\nFinal Answer: 696"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 167 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 167 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -981 + -226"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -981 and -226: -981 + -226 = -1207.\n</reasoning>\nFinal Answer: -1207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -200 mod -137"
},
{
"role": "assistant",
"content": "<reasoning>\n-200 mod -137: -200 = -137 × 1 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 16, 4, 89, 19, 80, 91, 63, 58, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 16, 19, 19, 58, 63, 78, 80, 89, 91]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -730 ÷ -932"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -730 by -932. -730 ÷ -932 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×34)/1 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 91 = 3230.5.\n</reasoning>\nFinal Answer: 3230.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/16 + 10/17. Common denominator = 272. Result = 415/272.\n</reasoning>\nFinal Answer: 415/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33504 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33504 × 3 × 5 / 100 = 5025.6.\n</reasoning>\nFinal Answer: 5025.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 6 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 3/60 = 6.0500 hours. Distance = speed × time = 136 × 6.0500 = 822.8 km.\n</reasoning>\nFinal Answer: 822.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 60, 39, 87, 29, 51, 91, 86, 10, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 570/10 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 124 and 177."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(124,177) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 35, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 35 + 38 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 2 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+2) × 15 = 375.0.\n</reasoning>\nFinal Answer: 375.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 33 = 215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 14x = 182. Divide by 14: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 231 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 231 × (1 - 40/100) = 231 × 0.6 = 138.6.\n</reasoning>\nFinal Answer: 138.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -998 mod 570"
},
{
"role": "assistant",
"content": "<reasoning>\n-998 mod 570: -998 = 570 × -2 + 142, so remainder = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 8 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 48+64-25=87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3014. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3014 × 28/100 = 843.92. Total = 3014 + 843.92 = 3857.92.\n</reasoning>\nFinal Answer: 3857.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×27)/1 = 1161.\n</reasoning>\nFinal Answer: 1161"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 263 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 263 × (1 - 70/100) = 263 × 0.30000000000000004 = 78.9.\n</reasoning>\nFinal Answer: 78.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:35 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/35, so B = A × (35/8) = 7 × 35/8 = 30.625.\n</reasoning>\nFinal Answer: 30.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 145 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 145 + 156 = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -7 = -147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 14x = -140. Divide by 14: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 92, 39, 59, 36, 16, 22, 51, 10, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 409/10 = 40.9.\n</reasoning>\nFinal Answer: 40.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:22 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/22, so B = A × (22/42) = 32 × 22/42 = 16.7619.\n</reasoning>\nFinal Answer: 16.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 135 - -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -447 from 135: 135 - -447 = 582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 418 - -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -249 from 418: 418 - -249 = 667.\n</reasoning>\nFinal Answer: 667"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 11, 12, 14, 16] and B = [1, 13, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 16].\n</reasoning>\nFinal Answer: [1, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 187 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(187,84) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 22 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 65, 78, 27, 32, 51, 40, 22, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 395/9 = 43.8889.\n</reasoning>\nFinal Answer: 43.8889"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 608 ÷ 648"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 608 by 648. 608 ÷ 648 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 26 + 35 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×26=156 and 35×8=280, then add: 436.\n</reasoning>\nFinal Answer: 436"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:4 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/4, so B = A × (4/37) = 61 × 4/37 = 6.5946.\n</reasoning>\nFinal Answer: 6.5946"
}
] | medium | [
"ratio",
"proportion"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.