messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 5/1 + 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/1 + 10/17. Common denominator = 17. Result = 95/17.\n</reasoning>\nFinal Answer: 95/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -554 ÷ 58"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -554 by 58. -554 ÷ 58 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -972 - -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from -972: -972 - -24 = -948.\n</reasoning>\nFinal Answer: -948"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2362. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2362 × 28/100 = 661.36. Total = 2362 + 661.36 = 3023.36.\n</reasoning>\nFinal Answer: 3023.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 24 = 347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 17x = 323. Divide by 17: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:19 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/19, so B = A × (19/37) = 23 × 19/37 = 11.8108.\n</reasoning>\nFinal Answer: 11.8108"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 4 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 0/60 = 4.0000 hours. Distance = speed × time = 106 × 4.0000 = 424.0 km.\n</reasoning>\nFinal Answer: 424.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×11)/1 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 807 mod -430"
},
{
"role": "assistant",
"content": "<reasoning>\n807 mod -430: 807 = -430 × -2 + -53, so remainder = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 566 mod -126"
},
{
"role": "assistant",
"content": "<reasoning>\n566 mod -126: 566 = -126 × -5 + -64, so remainder = -64.\n</reasoning>\nFinal Answer: -64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 20, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (35-1)×20 = 21 + 680 = 701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:37 and A = 56, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/37, so B = A × (37/46) = 56 × 37/46 = 45.0435.\n</reasoning>\nFinal Answer: 45.0435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3790. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3790 × 18/100 = 682.2. Total = 3790 + 682.2 = 4472.2.\n</reasoning>\nFinal Answer: 4472.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -316 ÷ 775"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -316 by 775. -316 ÷ 775 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-12)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×4×-72 = 1296. √discriminant = 36. x = (-(-12) ± 36) / (2×4). Solutions: x = 6 or x = -3.\n</reasoning>\nFinal Answer: x = 6 or x = -3... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 176 km/h. How far does it travel in 5 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 20/60 = 5.3333 hours. Distance = speed × time = 176 × 5.3333 = 938.6667 km.\n</reasoning>\nFinal Answer: 938.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 521 + 878"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 521 and 878: 521 + 878 = 1399.\n</reasoning>\nFinal Answer: 1399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (5)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×1×0 = 25. √discriminant = 5. x = (-(5) ± 5) / (2×1). Solutions: x = 0 or x = -5.\n</reasoning>\nFinal Answer: x = 0 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 20% of 337?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 337 = (20/100) × 337 = 67.4.\n</reasoning>\nFinal Answer: 67.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 102 km apart. Their speeds are 40 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+41=81 km/h. Time = 102/81 = 1.2593 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 6 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 10x = 100. Divide by 10: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 51."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,51) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 597 km apart. Their speeds are 56 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+73=129 km/h. Time = 597/129 = 4.6279 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 13) * (35 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+13)=17, (35-3)=32, then 17×32=544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 4 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 44/60 = 4.7333 hours. Distance = speed × time = 76 × 4.7333 = 359.7333 km.\n</reasoning>\nFinal Answer: 359.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -50 ÷ -727"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -50 by -727. -50 ÷ -727 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 152 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -11 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 18x = 234. Divide by 18: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:8 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/8, so B = A × (8/15) = 27 × 8/15 = 14.4.\n</reasoning>\nFinal Answer: 14.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 47 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+47) × 36 = 1188.0.\n</reasoning>\nFinal Answer: 1188.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 158 km/h. How far does it travel in 5 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 31/60 = 5.5167 hours. Distance = speed × time = 158 × 5.5167 = 871.6333 km.\n</reasoning>\nFinal Answer: 871.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 39, 12, 98, 94, 91, 20, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 1, 39: 1, 12: 1, 98: 1, 94: 1, 91: 1, 20: 1, 50: 1}. Most frequent: [13, 39, 12, 98, 94, 91, 20, 50].\n</reasoning>\nFinal Answer: [13, 39,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/16 + 17/14. Common denominator = 14. Result = 12/7.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 199 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 199 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -65 + -602"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -65 and -602: -65 + -602 = -667.\n</reasoning>\nFinal Answer: -667"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -816 - -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -157 from -816: -816 - -157 = -659.\n</reasoning>\nFinal Answer: -659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -850 + 264"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -850 and 264: -850 + 264 = -586.\n</reasoning>\nFinal Answer: -586"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 13, 17, 18, 19] and B = [2, 9, 11, 12, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 13, 17, 18].\n</reasoning>\nFinal Answer: [5, 13, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 42) * (4 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+42)=84, (4-26)=-22, then 84×-22=-1848.\n</reasoning>\nFinal Answer: -1848"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -26 = -269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 27x = -243. Divide by 27: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:13 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/13, so B = A × (13/17) = 51 × 13/17 = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:21 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/21, so B = A × (21/30) = 2 × 21/30 = 1.4.\n</reasoning>\nFinal Answer: 1.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "115 is what percentage of 524?"
},
{
"role": "assistant",
"content": "<reasoning>\n(115/524) × 100 = 21.9466%.\n</reasoning>\nFinal Answer: 21.9466%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 - 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/11 - 18/1. LCD = 11. Result = -189/11.\n</reasoning>\nFinal Answer: -189/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 67, 97, 49, 75, 74, 21, 90, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 556/9 = 61.7778.\n</reasoning>\nFinal Answer: 61.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 24 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+24) × 37 = 962.0.\n</reasoning>\nFinal Answer: 962.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 * 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/9) × (2/18) = (10/162) = 5/81 after simplification.\n</reasoning>\nFinal Answer: 5/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 796 + 31"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 796 and 31: 796 + 31 = 827.\n</reasoning>\nFinal Answer: 827"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 + 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/8 + 12/15. Common denominator = 10. Result = 23/10.\n</reasoning>\nFinal Answer: 23/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 12 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 12 × (1 + 3/100) = 12 × 1.03 = 12.36.\n</reasoning>\nFinal Answer: 12.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 25 * 44 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×44=1100, then 6+1100-26=1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -41 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 7x = 126. Divide by 7: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -334 - -891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -891 from -334: -334 - -891 = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -761 mod 430"
},
{
"role": "assistant",
"content": "<reasoning>\n-761 mod 430: -761 = 430 × -2 + 99, so remainder = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 3, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (40-1)×3 = 28 + 117 = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 400 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 400 × (1 + 80/100) = 400 × 1.8 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 28 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 28 = 364 worker-days. New time = 364 / 8 = 45.5 days.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 132 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 132 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 577 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 577 × (1 + 35/100) = 577 × 1.35 = 778.95.\n</reasoning>\nFinal Answer: 778.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 13 = 661"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 24x = 648. Divide by 24: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:4 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/4, so B = A × (4/24) = 86 × 4/24 = 14.3333.\n</reasoning>\nFinal Answer: 14.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 44 * 49 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×49=2156, then 43+2156-9=2190.\n</reasoning>\nFinal Answer: 2190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 87 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(87,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 7, 5, 9, 33, 11, 19, 74, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 7, 9, 11, 19, 33, 70, 74, 79]. Middle value(s) → median = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 30, 38, 46, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 8. Next term = 54 + 8 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 513 mod -286"
},
{
"role": "assistant",
"content": "<reasoning>\n513 mod -286: 513 = -286 × -2 + -59, so remainder = -59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 4, 63, 2, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 4: 1, 63: 1, 2: 1, 45: 1}. Most frequent: [18, 4, 63, 2, 45].\n</reasoning>\nFinal Answer: [18, 4, 63, 2, 45]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 514 - -537"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -537 from 514: 514 - -537 = 1051.\n</reasoning>\nFinal Answer: 1051"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 63, 80, 2, 51, 43, 91, 62, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 509/9 = 56.5556.\n</reasoning>\nFinal Answer: 56.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 44 = -469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 19x = -513. Divide by 19: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -38 = 996"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 22x = 1034. Divide by 22: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:7 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/7, so B = A × (7/39) = 8 × 7/39 = 1.4359.\n</reasoning>\nFinal Answer: 1.4359"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 20 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+20) × 29 = 333.5.\n</reasoning>\nFinal Answer: 333.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 31 = -541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 22x = -572. Divide by 22: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 464 mod -403"
},
{
"role": "assistant",
"content": "<reasoning>\n464 mod -403: 464 = -403 × -2 + -342, so remainder = -342.\n</reasoning>\nFinal Answer: -342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 122 - 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 699 from 122: 122 - 699 = -577.\n</reasoning>\nFinal Answer: -577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 1) * (21 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+1)=38, (21-38)=-17, then 38×-17=-646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 28 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 10+784-48=746.\n</reasoning>\nFinal Answer: 746"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 60, 47, 29, 9, 81, 58, 84, 49, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 535/10 = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 162 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(162,134) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 56, 62, 43, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 5 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -536 × -106"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -536 by -106: -536 × -106 = 56816.\n</reasoning>\nFinal Answer: 56816"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -43 = -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 12x = -240. Divide by 12: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 + 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/2 + 6/5. Common denominator = 10. Result = 67/10.\n</reasoning>\nFinal Answer: 67/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 3 = 803"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 20x = 800. Divide by 20: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 / 3/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/12) ÷ (3/2) = (12/12) × (2/3) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -600 + 74"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -600 and 74: -600 + 74 = -526.\n</reasoning>\nFinal Answer: -526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -34 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 13x = 0. Divide by 13: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 908 km apart. Their speeds are 73 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+57=130 km/h. Time = 908/130 = 6.9846 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 819 × -203"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 819 by -203: 819 × -203 = -166257.\n</reasoning>\nFinal Answer: -166257"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 27, 30, 77, 35, 48, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 27, 30, 35, 44, 48, 77]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 722 km apart. Their speeds are 108 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+111=219 km/h. Time = 722/219 = 3.2968 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -1 = -561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 20x = -560. Divide by 20: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -359 mod -733"
},
{
"role": "assistant",
"content": "<reasoning>\n-359 mod -733: -359 = -733 × 0 + -359, so remainder = -359.\n</reasoning>\nFinal Answer: -359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 918 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 918 × (1 - 5/100) = 918 × 0.95 = 872.1.\n</reasoning>\nFinal Answer: 872.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 56, 98, 16, 32, 79, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 16, 32, 56, 56, 79, 98]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 66 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 17 = -91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 6x = -108. Divide by 6: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 18 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 18 = 144 worker-days. New time = 144 / 6 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 39 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 39 × 27 = 526.5.\n</reasoning>\nFinal Answer: 526.5"
}
] | easy | [
"geometry",
"area"
] |
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