messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 3 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(3+19) = 2×22 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 965 × 659"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 965 by 659: 965 × 659 = 635935.\n</reasoning>\nFinal Answer: 635935"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -616 + 149"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -616 and 149: -616 + 149 = -467.\n</reasoning>\nFinal Answer: -467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -729 mod -789"
},
{
"role": "assistant",
"content": "<reasoning>\n-729 mod -789: -729 = -789 × 0 + -729, so remainder = -729.\n</reasoning>\nFinal Answer: -729"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 75 - -917"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -917 from 75: 75 - -917 = 992.\n</reasoning>\nFinal Answer: 992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 2, 68, 27, 42, 26, 63, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 2 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:43 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/43, so B = A × (43/50) = 10 × 43/50 = 8.6.\n</reasoning>\nFinal Answer: 8.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 5 * 29 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×29=145, then 1+145-40=106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 5% of 15?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 15 = (5/100) × 15 = 0.75.\n</reasoning>\nFinal Answer: 0.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 594 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 594 × (1 + 80/100) = 594 × 1.8 = 1069.2.\n</reasoning>\nFinal Answer: 1069.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -26 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 117 km/h. How far does it travel in 1 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 20/60 = 1.3333 hours. Distance = speed × time = 117 × 1.3333 = 156.0 km.\n</reasoning>\nFinal Answer: 156.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 23 = -1293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 28x = -1316. Divide by 28: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:21 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/21, so B = A × (21/24) = 66 × 21/24 = 57.75.\n</reasoning>\nFinal Answer: 57.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 51, 55, 59, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 4. Next term = 63 + 4 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 1) * (11 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+1)=47, (11-32)=-21, then 47×-21=-987.\n</reasoning>\nFinal Answer: -987"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 158 and 54."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(158,54) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 94, 80, 4, 55, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 55, 62, 80, 84, 94]. Middle value(s) → median = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:32 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/32, so B = A × (32/22) = 19 × 32/22 = 27.6364.\n</reasoning>\nFinal Answer: 27.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 + 17/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/13 + 17/6. Common denominator = 78. Result = 287/78.\n</reasoning>\nFinal Answer: 287/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 8 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 20/60 = 8.3333 hours. Distance = speed × time = 189 × 8.3333 = 1575.0 km.\n</reasoning>\nFinal Answer: 1575.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 461 km apart. Their speeds are 50 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+82=132 km/h. Time = 461/132 = 3.4924 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 11 + 35 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×11=495 and 35×32=1120, then add: 1615.\n</reasoning>\nFinal Answer: 1615"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 17, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (19-1)×17 = 47 + 306 = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 14/4 / 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/4) ÷ (18/13) = (14/4) × (13/18) = 91/36.\n</reasoning>\nFinal Answer: 91/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 10, 15, 16, 19] and B = [1, 4, 5, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 7, 9, 10, 11, 15, 16, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+13) = 2×15 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 8/11. Common denominator = 165. Result = 208/165.\n</reasoning>\nFinal Answer: 208/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -266 × 963"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -266 by 963: -266 × 963 = -256158.\n</reasoning>\nFinal Answer: -256158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 6, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (30-1)×6 = 5 + 174 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 49 = 989"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 20x = 940. Divide by 20: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:45 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/45, so B = A × (45/1) = 34 × 45/1 = 1530.0.\n</reasoning>\nFinal Answer: 1530.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 10, 64, 53, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 10: 1, 64: 1, 53: 1, 48: 1}. Most frequent: [41, 10, 64, 53, 48].\n</reasoning>\nFinal Answer: [41, 10, 64, 53, 48]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:10 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/10, so B = A × (10/9) = 32 × 10/9 = 35.5556.\n</reasoning>\nFinal Answer: 35.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 24 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 17+576-50=543.\n</reasoning>\nFinal Answer: 543"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 + 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/14 + 5/13. Common denominator = 182. Result = 187/182.\n</reasoning>\nFinal Answer: 187/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 321 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 321 × (1 + 50/100) = 321 × 1.5 = 481.5.\n</reasoning>\nFinal Answer: 481.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 312 × 143"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 312 by 143: 312 × 143 = 44616.\n</reasoning>\nFinal Answer: 44616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-21)x + (-54) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -21² - 4×3×-54 = 1089. √discriminant = 33. x = (-(-21) ± 33) / (2×3). Solutions: x = -2 or x = 9.\n</reasoning>\nFinal Answer: x = -2 or x = 9... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -29 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 9x = 171. Divide by 9: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 35, 65, 69, 49, 84, 12, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 35: 1, 65: 1, 69: 1, 49: 1, 84: 1, 12: 1, 66: 1}. Most frequent: [68, 35, 65, 69, 49, 84, 12, 66].\n</reasoning>\nFinal Answer: [68, 35,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:30 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/30, so B = A × (30/40) = 8 × 30/40 = 6.0.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 54, 90, 93, 31, 61, 40, 3, 28, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 28, 31, 40, 54, 61, 67, 89, 90, 93]. Middle value(s) → median = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -29 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 11x = 154. Divide by 11: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 10 * 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×2=20, then 39+20-28=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 37) * (5 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+37)=72, (5-13)=-8, then 72×-8=-576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 942 + -74"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 942 and -74: 942 + -74 = 868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 2 = -682"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 19x = -684. Divide by 19: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 84, 23, 10, 16, 74, 39, 47, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 84: 1, 23: 1, 10: 1, 16: 1, 74: 1, 39: 1, 47: 1, 59: 1}. Most frequent: [86, 84, 23, 10, 16, 74, 39, 47, 59].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -40 = -37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 3x = 3. Divide by 3: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -711 - 433"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 433 from -711: -711 - 433 = -1144.\n</reasoning>\nFinal Answer: -1144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 5 * 10 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×10=50, then 36+50-9=77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -226 ÷ 574"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -226 by 574. -226 ÷ 574 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 45 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 23+2025-14=2034.\n</reasoning>\nFinal Answer: 2034"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 64, 48, 17, 63, 13, 21, 13, 71, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 13, 17, 21, 31, 45, 48, 63, 64, 71]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 95, 97, 31, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 309/5 = 61.8.\n</reasoning>\nFinal Answer: 61.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×35)/1 = 665.\n</reasoning>\nFinal Answer: 665"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 16, 26, 36, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 10. Next term = 46 + 10 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:43 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/43, so B = A × (43/24) = 47 × 43/24 = 84.2083.\n</reasoning>\nFinal Answer: 84.2083"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 7 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 8/15 = 0.5333.\n</reasoning>\nFinal Answer: 0.5333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Ravi has 194 apples and buys 13 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 194 + 13 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 19 = 1216.\n</reasoning>\nFinal Answer: 1216"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/3 - 3/16. LCD = 48. Result = 71/48.\n</reasoning>\nFinal Answer: 71/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 30 * 20 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×20=600, then 37+600-17=620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 + 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/9 + 6/5. Common denominator = 45. Result = 104/45.\n</reasoning>\nFinal Answer: 104/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 * 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/7) × (11/5) = (143/35) = 143/35 after simplification.\n</reasoning>\nFinal Answer: 143/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 0 = -1323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 27x = -1323. Divide by 27: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 818 km apart. Their speeds are 57 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+89=146 km/h. Time = 818/146 = 5.6027 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 324 ÷ -849"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 324 by -849. 324 ÷ -849 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 45 = -475"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 20x = -520. Divide by 20: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 77 = 1655.5.\n</reasoning>\nFinal Answer: 1655.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 58 ÷ -895"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 58 by -895. 58 ÷ -895 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 77, 74, 72, 92, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 472/6 = 78.6667.\n</reasoning>\nFinal Answer: 78.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-45)x + (-50) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -45² - 4×5×-50 = 3025. √discriminant = 55. x = (-(-45) ± 55) / (2×5). Solutions: x = -1 or x = 10.\n</reasoning>\nFinal Answer: x = -1 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 12 = 624.\n</reasoning>\nFinal Answer: 624"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 926 km apart. Their speeds are 62 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+119=181 km/h. Time = 926/181 = 5.116 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 22 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+22) × 47 = 1222.0.\n</reasoning>\nFinal Answer: 1222.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 84 = 2016.0.\n</reasoning>\nFinal Answer: 2016.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 179 km/h. How far does it travel in 5 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 49/60 = 5.8167 hours. Distance = speed × time = 179 × 5.8167 = 1041.1833 km.\n</reasoning>\nFinal Answer: 1041.1833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23683 at 20% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23683 × 20 × 8 / 100 = 37892.8.\n</reasoning>\nFinal Answer: 37892.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/16 + 18/20. Common denominator = 20. Result = 33/20.\n</reasoning>\nFinal Answer: 33/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 17 = 97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 10x = 80. Divide by 10: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 12, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (31-1)×12 = 25 + 360 = 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 593 mod -184"
},
{
"role": "assistant",
"content": "<reasoning>\n593 mod -184: 593 = -184 × -4 + -143, so remainder = -143.\n</reasoning>\nFinal Answer: -143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 40 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 40 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 157 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 157 + 144 = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 3 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+3) × 18 = 108.0.\n</reasoning>\nFinal Answer: 108.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -3 = 321"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 12x = 324. Divide by 12: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 719 - 230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 230 from 719: 719 - 230 = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -103 + -387"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -103 and -387: -103 + -387 = -490.\n</reasoning>\nFinal Answer: -490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 82, 59, 20, 89, 57, 19, 87, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 82: 1, 59: 1, 20: 1, 89: 1, 57: 1, 19: 1, 87: 1, 88: 1}. Most frequent: [95, 82, 59, 20, 89, 57, 19, 87, 88].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23522 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23522 × 11 × 9 / 100 = 23286.78.\n</reasoning>\nFinal Answer: 23286.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:8 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/8, so B = A × (8/41) = 99 × 8/41 = 19.3171.\n</reasoning>\nFinal Answer: 19.3171"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 - 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/9 - 13/1. LCD = 3. Result = -38/3.\n</reasoning>\nFinal Answer: -38/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 732 km apart. Their speeds are 60 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+66=126 km/h. Time = 732/126 = 5.8095 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:13 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/13, so B = A × (13/7) = 34 × 13/7 = 63.1429.\n</reasoning>\nFinal Answer: 63.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -591 - 512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 512 from -591: -591 - 512 = -1103.\n</reasoning>\nFinal Answer: -1103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -524 ÷ -676"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -524 by -676. -524 ÷ -676 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 33) * (3 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+33)=61, (3-44)=-41, then 61×-41=-2501.\n</reasoning>\nFinal Answer: -2501"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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