messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 38 + 50 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×38=1026 and 50×9=450, then add: 1476.\n</reasoning>\nFinal Answer: 1476"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 17 = -627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 14x = -644. Divide by 14: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 109 ÷ 190"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 109 by 190. 109 ÷ 190 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 317 mod 133"
},
{
"role": "assistant",
"content": "<reasoning>\n317 mod 133: 317 = 133 × 2 + 51, so remainder = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 653 km apart. Their speeds are 111 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+60=171 km/h. Time = 653/171 = 3.8187 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 182 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 182 × (1 + 15/100) = 182 × 1.15 = 209.3.\n</reasoning>\nFinal Answer: 209.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -616 ÷ 322"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -616 by 322. -616 ÷ 322 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 188 + -475"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 188 and -475: 188 + -475 = -287.\n</reasoning>\nFinal Answer: -287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 277?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 277 = (40/100) × 277 = 110.8.\n</reasoning>\nFinal Answer: 110.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:21 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/21, so B = A × (21/15) = 44 × 21/15 = 61.6.\n</reasoning>\nFinal Answer: 61.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 988 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 988 × (1 + 12/100) = 988 × 1.12 = 1106.56.\n</reasoning>\nFinal Answer: 1106.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 23, 96, 33, 39, 20, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 20 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 850 mod 736"
},
{
"role": "assistant",
"content": "<reasoning>\n850 mod 736: 850 = 736 × 1 + 114, so remainder = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -437 × 325"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -437 by 325: -437 × 325 = -142025.\n</reasoning>\nFinal Answer: -142025"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 8 + 17 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×8=48 and 17×15=255, then add: 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 8 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 9x = 117. Divide by 9: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -802 + -656"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -802 and -656: -802 + -656 = -1458.\n</reasoning>\nFinal Answer: -1458"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 13 = -269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 79, 94, 68, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 298/5 = 59.6.\n</reasoning>\nFinal Answer: 59.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -209 mod 564"
},
{
"role": "assistant",
"content": "<reasoning>\n-209 mod 564: -209 = 564 × -1 + 355, so remainder = 355.\n</reasoning>\nFinal Answer: 355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 894?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 894 = (80/100) × 894 = 715.2.\n</reasoning>\nFinal Answer: 715.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -19 = -754"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 15x = -735. Divide by 15: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 38 = 1273.0.\n</reasoning>\nFinal Answer: 1273.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 46 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 24+2116-45=2095.\n</reasoning>\nFinal Answer: 2095"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = 185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = 192. Divide by 6: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 8 * 38 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×38=304, then 6+304-27=283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (12/4) = (4/9) × (4/12) = 4/27.\n</reasoning>\nFinal Answer: 4/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 38 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 1x = -4. Divide by 1: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 166 × 187"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 166 by 187: 166 × 187 = 31042.\n</reasoning>\nFinal Answer: 31042"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 12, 13] and B = [1, 4, 11, 12, 13, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12, 13].\n</reasoning>\nFinal Answer: [12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:3 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/3, so B = A × (3/24) = 67 × 3/24 = 8.375.\n</reasoning>\nFinal Answer: 8.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 12 = 210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 6x = 198. Divide by 6: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 33 * 33 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×33=1089, then 41+1089-45=1085.\n</reasoning>\nFinal Answer: 1085"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -490 × 846"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -490 by 846: -490 × 846 = -414540.\n</reasoning>\nFinal Answer: -414540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "144 is what percentage of 301?"
},
{
"role": "assistant",
"content": "<reasoning>\n(144/301) × 100 = 47.8405%.\n</reasoning>\nFinal Answer: 47.8405%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -893 - 436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 436 from -893: -893 - 436 = -1329.\n</reasoning>\nFinal Answer: -1329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 294 - 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 499 from 294: 294 - 499 = -205.\n</reasoning>\nFinal Answer: -205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 10, 11, 12, 15, 17] and B = [1, 2, 5, 6, 8, 11, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 8, 10, 12, 15, 18].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "260 is what percentage of 559?"
},
{
"role": "assistant",
"content": "<reasoning>\n(260/559) × 100 = 46.5116%.\n</reasoning>\nFinal Answer: 46.5116%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 8 = 828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 20x = 820. Divide by 20: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 12% of 346?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 346 = (12/100) × 346 = 41.52.\n</reasoning>\nFinal Answer: 41.52"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 21) * (49 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+21)=41, (49-28)=21, then 41×21=861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 32) * (17 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+32)=53, (17-5)=12, then 53×12=636.\n</reasoning>\nFinal Answer: 636"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -47 = -407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 9x = -360. Divide by 9: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -975 mod -51"
},
{
"role": "assistant",
"content": "<reasoning>\n-975 mod -51: -975 = -51 × 19 + -6, so remainder = -6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 26, 13, 15, 95, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 13, 15, 26, 42, 95]. Middle value(s) → median = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 24) * (14 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+24)=67, (14-6)=8, then 67×8=536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 44 = 356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 12x = 312. Divide by 12: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -40 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 16x = 576. Divide by 16: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 23 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 23 × (1 - 50/100) = 23 × 0.5 = 11.5.\n</reasoning>\nFinal Answer: 11.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 988 mod 659"
},
{
"role": "assistant",
"content": "<reasoning>\n988 mod 659: 988 = 659 × 1 + 329, so remainder = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -601 ÷ -920"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -601 by -920. -601 ÷ -920 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 62, 61, 42, 57, 28, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 9 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 165 and 172."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(165,172) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -18 - 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 709 from -18: -18 - 709 = -727.\n</reasoning>\nFinal Answer: -727"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 is what percentage of 9?"
},
{
"role": "assistant",
"content": "<reasoning>\n(7/9) × 100 = 77.7778%.\n</reasoning>\nFinal Answer: 77.7778%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -86 ÷ 434"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -86 by 434. -86 ÷ 434 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 151 - -979"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -979 from 151: 151 - -979 = 1130.\n</reasoning>\nFinal Answer: 1130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 21, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 21 + 32 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -857 - -358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -358 from -857: -857 - -358 = -499.\n</reasoning>\nFinal Answer: -499"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 50, 59, 19, 32, 47, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 72 - 17 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹4186. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4186 × 18/100 = 753.48. Total = 4186 + 753.48 = 4939.48.\n</reasoning>\nFinal Answer: 4939.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 127 × -566"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 127 by -566: 127 × -566 = -71882.\n</reasoning>\nFinal Answer: -71882"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 942 mod -133"
},
{
"role": "assistant",
"content": "<reasoning>\n942 mod -133: 942 = -133 × -8 + -122, so remainder = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 9, and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 9 + 17 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -285 ÷ -296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -285 by -296. -285 ÷ -296 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 54 = 1782.0.\n</reasoning>\nFinal Answer: 1782.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:38 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/38, so B = A × (38/24) = 42 × 38/24 = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 17 * 5 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×5=85, then 3+85-42=46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 16 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 16 = 96 worker-days. New time = 96 / 20 = 4.8 days.\n</reasoning>\nFinal Answer: 4.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 20, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (43-1)×20 = 6 + 840 = 846.\n</reasoning>\nFinal Answer: 846"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 24 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 24 = 312 worker-days. New time = 312 / 16 = 19.5 days.\n</reasoning>\nFinal Answer: 19.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹767. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 767 × 28/100 = 214.76. Total = 767 + 214.76 = 981.76.\n</reasoning>\nFinal Answer: 981.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3364. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3364 × 28/100 = 941.92. Total = 3364 + 941.92 = 4305.92.\n</reasoning>\nFinal Answer: 4305.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 370?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 370 = (45/100) × 370 = 166.5.\n</reasoning>\nFinal Answer: 166.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -718 × -603"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -718 by -603: -718 × -603 = 432954.\n</reasoning>\nFinal Answer: 432954"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:17 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/17, so B = A × (17/48) = 92 × 17/48 = 32.5833.\n</reasoning>\nFinal Answer: 32.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "310 is what percentage of 354?"
},
{
"role": "assistant",
"content": "<reasoning>\n(310/354) × 100 = 87.5706%.\n</reasoning>\nFinal Answer: 87.5706%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -135 - -310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -310 from -135: -135 - -310 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -21 = 717"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 18x = 738. Divide by 18: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49543 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49543 × 13 × 7 / 100 = 45084.13.\n</reasoning>\nFinal Answer: 45084.13"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 + 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/16 + 19/5. Common denominator = 40. Result = 157/40.\n</reasoning>\nFinal Answer: 157/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:29 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/29, so B = A × (29/19) = 80 × 29/19 = 122.1053.\n</reasoning>\nFinal Answer: 122.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -14 = 706"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 15x = 720. Divide by 15: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 202 + -595"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 202 and -595: 202 + -595 = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 1 hours and 0 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 0/60 = 1.0000 hours. Distance = speed × time = 114 × 1.0000 = 114.0 km.\n</reasoning>\nFinal Answer: 114.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 702 km apart. Their speeds are 51 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+85=136 km/h. Time = 702/136 = 5.1618 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 32 + 5 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×32=320 and 5×48=240, then add: 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 26, 39, 1, 97, 45, 42, 82, 98, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 510/10 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 420 - 783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 783 from 420: 420 - 783 = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 34) * (7 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+34)=53, (7-8)=-1, then 53×-1=-53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -1 = 263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 24x = 264. Divide by 24: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/16 * 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/16) × (8/20) = (24/320) = 3/40 after simplification.\n</reasoning>\nFinal Answer: 3/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 633 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 633 × (1 + 3/100) = 633 × 1.03 = 651.99.\n</reasoning>\nFinal Answer: 651.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 529 km apart. Their speeds are 70 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+101=171 km/h. Time = 529/171 = 3.0936 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -14 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 1x = 0. Divide by 1: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -967 mod -478"
},
{
"role": "assistant",
"content": "<reasoning>\n-967 mod -478: -967 = -478 × 2 + -11, so remainder = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 * 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/7) × (18/10) = (126/70) = 9/5 after simplification.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 10 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 26+100-23=103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 21 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 21 = 147 worker-days. New time = 147 / 4 = 36.75 days.\n</reasoning>\nFinal Answer: 36.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
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