messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 72 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 40 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(40+100) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -14 = 9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 1x = 23. Divide by 1: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 50 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 36+2500-16=2520.\n</reasoning>\nFinal Answer: 2520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+66) = 2×124 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -108 + 253"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -108 and 253: -108 + 253 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 27 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 27 = 432 worker-days. New time = 432 / 8 = 54.0 days.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 25 = -727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 16x = -752. Divide by 16: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 12% of 142?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 142 = (12/100) × 142 = 17.04.\n</reasoning>\nFinal Answer: 17.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 15) * (44 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+15)=48, (44-17)=27, then 48×27=1296.\n</reasoning>\nFinal Answer: 1296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 164 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 164 × (1 - 10/100) = 164 × 0.9 = 147.6.\n</reasoning>\nFinal Answer: 147.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 2 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 6x = -222. Divide by 6: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 18, 30, 42, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 12. Next term = 54 + 12 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 49, 69, 74, 67, 83, 52, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 11 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:18 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/18, so B = A × (18/19) = 89 × 18/19 = 84.3158.\n</reasoning>\nFinal Answer: 84.3158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 849 - -736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -736 from 849: 849 - -736 = 1585.\n</reasoning>\nFinal Answer: 1585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -803 - -384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -384 from -803: -803 - -384 = -419.\n</reasoning>\nFinal Answer: -419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:37 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/37, so B = A × (37/44) = 59 × 37/44 = 49.6136.\n</reasoning>\nFinal Answer: 49.6136"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 63, 25, 93, 63, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 25, 63, 63, 93]. Middle value(s) → median = 44.0.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 98, 48, 28, 84, 79, 5, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 5 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 224 + -303"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 224 and -303: 224 + -303 = -79.\n</reasoning>\nFinal Answer: -79"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -221 mod 50"
},
{
"role": "assistant",
"content": "<reasoning>\n-221 mod 50: -221 = 50 × -5 + 29, so remainder = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 36 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 24x = -48. Divide by 24: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (20)x + (-105) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×5×-105 = 2500. √discriminant = 50. x = (-(20) ± 50) / (2×5). Solutions: x = -7 or x = 3.\n</reasoning>\nFinal Answer: x = -7 or x = 3"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 90% of 871?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 871 = (90/100) × 871 = 783.9.\n</reasoning>\nFinal Answer: 783.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 295 × 955"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 295 by 955: 295 × 955 = 281725.\n</reasoning>\nFinal Answer: 281725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 38 + 8 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×38=1558 and 8×31=248, then add: 1806.\n</reasoning>\nFinal Answer: 1806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 917 ÷ 128"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 917 by 128. 917 ÷ 128 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×29)/1 = 1305.\n</reasoning>\nFinal Answer: 1305"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:21 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/21, so B = A × (21/10) = 67 × 21/10 = 140.7.\n</reasoning>\nFinal Answer: 140.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -620 - -856"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -856 from -620: -620 - -856 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 36) * (33 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+36)=45, (33-10)=23, then 45×23=1035.\n</reasoning>\nFinal Answer: 1035"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 12, 58, 66, 18, 99, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 12: 1, 58: 1, 66: 1, 18: 1, 99: 1, 47: 1}. Most frequent: [85, 12, 58, 66, 18, 99, 47].\n</reasoning>\nFinal Answer: [85, 12, 58, 66, 18, 99... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 35 * 15 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×15=525, then 30+525-27=528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 38 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+38) × 32 = 1200.0.\n</reasoning>\nFinal Answer: 1200.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 24 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 19+576-26=569.\n</reasoning>\nFinal Answer: 569"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 45 = 895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 15, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (26-1)×15 = 36 + 375 = 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 41 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+41) × 4 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 101 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 101 + 134 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35192 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35192 × 14 × 6 / 100 = 29561.28.\n</reasoning>\nFinal Answer: 29561.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 300 × -294"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 300 by -294: 300 × -294 = -88200.\n</reasoning>\nFinal Answer: -88200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 24 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 24x = -288. Divide by 24: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 30% of 706?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 706 = (30/100) × 706 = 211.8.\n</reasoning>\nFinal Answer: 211.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+91) = 2×136 = 272.\n</reasoning>\nFinal Answer: 272"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 14, 90, 74, 79, 67, 1, 47, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 14: 1, 90: 1, 74: 1, 79: 1, 67: 1, 1: 1, 47: 1, 89: 1}. Most frequent: [30, 14, 90, 74, 79, 67, 1, 47, 89].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1680. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1680 × 28/100 = 470.4. Total = 1680 + 470.4 = 2150.4.\n</reasoning>\nFinal Answer: 2150.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 306 ÷ -656"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 306 by -656. 306 ÷ -656 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 28 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+28) × 36 = 1098.0.\n</reasoning>\nFinal Answer: 1098.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -591 × -512"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -591 by -512: -591 × -512 = 302592.\n</reasoning>\nFinal Answer: 302592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2749. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2749 × 5/100 = 137.45. Total = 2749 + 137.45 = 2886.45.\n</reasoning>\nFinal Answer: 2886.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -686 × -348"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -686 by -348: -686 × -348 = 238728.\n</reasoning>\nFinal Answer: 238728"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 56 and 144."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(56,144) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -498 mod 718"
},
{
"role": "assistant",
"content": "<reasoning>\n-498 mod 718: -498 = 718 × -1 + 220, so remainder = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 52, 25, 64, 78, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 1, 52: 1, 25: 1, 64: 1, 78: 1, 9: 1}. Most frequent: [44, 52, 25, 64, 78, 9].\n</reasoning>\nFinal Answer: [44, 52, 25, 64, 78, 9]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 / 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/17) ÷ (10/14) = (17/17) × (14/10) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:12 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/12, so B = A × (12/42) = 66 × 12/42 = 18.8571.\n</reasoning>\nFinal Answer: 18.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -387 + 930"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -387 and 930: -387 + 930 = 543.\n</reasoning>\nFinal Answer: 543"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 12) * (38 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+12)=35, (38-44)=-6, then 35×-6=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 31 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 29x = 406. Divide by 29: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -757 × -118"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -757 by -118: -757 × -118 = 89326.\n</reasoning>\nFinal Answer: 89326"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 317 km apart. Their speeds are 101 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+71=172 km/h. Time = 317/172 = 1.843 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14782 at 14% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14782 × 14 × 7 / 100 = 14486.36.\n</reasoning>\nFinal Answer: 14486.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 163 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 163 × (1 + 3/100) = 163 × 1.03 = 167.89.\n</reasoning>\nFinal Answer: 167.89"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 302 ÷ 550"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 302 by 550. 302 ÷ 550 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 / 12/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/15) ÷ (12/10) = (2/15) × (10/12) = 1/9.\n</reasoning>\nFinal Answer: 1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-15)x + (56) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×1×56 = 1. √discriminant = 1. x = (-(-15) ± 1) / (2×1). Solutions: x = 7 or x = 8.\n</reasoning>\nFinal Answer: x = 7 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -3 = -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 28x = -392. Divide by 28: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -14 = -976"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 26x = -962. Divide by 26: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 12 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 6x = -24. Divide by 6: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 189 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(189,32) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 - 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/13 - 6/11. LCD = 143. Result = 120/143.\n</reasoning>\nFinal Answer: 120/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -985 ÷ -176"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -985 by -176. -985 ÷ -176 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 * 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/11) × (2/1) = (36/11) = 36/11 after simplification.\n</reasoning>\nFinal Answer: 36/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 87 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 87 × 52 = 2262.0.\n</reasoning>\nFinal Answer: 2262.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:26 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/26, so B = A × (26/14) = 26 × 26/14 = 48.2857.\n</reasoning>\nFinal Answer: 48.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 221 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 221 × (1 - 15/100) = 221 × 0.85 = 187.85.\n</reasoning>\nFinal Answer: 187.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 * 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/13) × (14/12) = (182/156) = 7/6 after simplification.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 9, 11, 12, 14, 17, 18] and B = [2, 11, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 18].\n</reasoning>\nFinal Answer: [11, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:11 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/11, so B = A × (11/42) = 40 × 11/42 = 10.4762.\n</reasoning>\nFinal Answer: 10.4762"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 119 km/h. How far does it travel in 2 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 23/60 = 2.3833 hours. Distance = speed × time = 119 × 2.3833 = 283.6167 km.\n</reasoning>\nFinal Answer: 283.6167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 35 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 13+1225-41=1197.\n</reasoning>\nFinal Answer: 1197"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 77 mod -901"
},
{
"role": "assistant",
"content": "<reasoning>\n77 mod -901: 77 = -901 × -1 + -824, so remainder = -824.\n</reasoning>\nFinal Answer: -824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -15 = 138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 17x = 153. Divide by 17: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:6 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/6, so B = A × (6/41) = 4 × 6/41 = 0.5854.\n</reasoning>\nFinal Answer: 0.5854"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/8 - 20/16. LCD = 4. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 22, 61, 66, 34, 66, 91, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 22: 1, 61: 1, 66: 2, 34: 1, 91: 1, 51: 1}. Most frequent: 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 4 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 167 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(167,134) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:50 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/50, so B = A × (50/42) = 91 × 50/42 = 108.3333.\n</reasoning>\nFinal Answer: 108.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [44, 44, 16, 88, 66, 91, 96, 19, 57, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {44: 2, 16: 1, 88: 1, 66: 1, 91: 1, 96: 1, 19: 1, 57: 1, 60: 1}. Most frequent: 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43040 at 10% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43040 × 10 × 10 / 100 = 43040.0.\n</reasoning>\nFinal Answer: 43040.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 88 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 88 + 96 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 0 = -468"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 26x = -468. Divide by 26: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 84, 23, 19, 96, 55, 7, 95, 70, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 84: 1, 23: 1, 19: 1, 96: 1, 55: 1, 7: 1, 95: 1, 70: 1, 46: 1}. Most frequent: [12, 84, 23, 19, 96, 55, 7, 95, 70, 46].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 67, 69, 55, 50, 14, 88, 72, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 67: 1, 69: 1, 55: 1, 50: 1, 14: 1, 88: 1, 72: 1, 91: 1}. Most frequent: [58, 67, 69, 55, 50, 14, 88, 72, 91].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 63, 79, 10, 21, 80, 100, 55, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 21, 42, 48, 55, 63, 79, 80, 100]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -417 mod -590"
},
{
"role": "assistant",
"content": "<reasoning>\n-417 mod -590: -417 = -590 × 0 + -417, so remainder = -417.\n</reasoning>\nFinal Answer: -417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 835 = (35/100) × 835 = 292.25.\n</reasoning>\nFinal Answer: 292.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 3 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 53/60 = 3.8833 hours. Distance = speed × time = 189 × 3.8833 = 733.95 km.\n</reasoning>\nFinal Answer: 733.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
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