messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 12/8 - 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/8 - 2/12. LCD = 6. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -302 + 207"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -302 and 207: -302 + 207 = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 26, 41, 56, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 15. Next term = 71 + 15 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 - 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/1 - 19/18. LCD = 18. Result = 287/18.\n</reasoning>\nFinal Answer: 287/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 392 km apart. Their speeds are 104 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+110=214 km/h. Time = 392/214 = 1.8318 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 28 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 28 = 476 worker-days. New time = 476 / 8 = 59.5 days.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 420 + -522"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 420 and -522: 420 + -522 = -102.\n</reasoning>\nFinal Answer: -102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 96, 98, 6, 56, 82, 98, 13, 100, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 583/10 = 58.3.\n</reasoning>\nFinal Answer: 58.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹2620. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2620 × 18/100 = 471.6. Total = 2620 + 471.6 = 3091.6.\n</reasoning>\nFinal Answer: 3091.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 8 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 42/60 = 8.7000 hours. Distance = speed × time = 150 × 8.7000 = 1305.0 km.\n</reasoning>\nFinal Answer: 1305.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [16, 38, 59, 95, 96, 6, 44, 34, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 4/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 4/18. LCD = 63. Result = 130/63.\n</reasoning>\nFinal Answer: 130/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 389 ÷ 89"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 389 by 89. 389 ÷ 89 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48615 at 16% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48615 × 16 × 5 / 100 = 38892.0.\n</reasoning>\nFinal Answer: 38892.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 is what percentage of 40?"
},
{
"role": "assistant",
"content": "<reasoning>\n(12/40) × 100 = 30.0%.\n</reasoning>\nFinal Answer: 30.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 17, 62, 1, 26, 54, 60, 26, 33, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 351/10 = 35.1.\n</reasoning>\nFinal Answer: 35.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 66 mod 731"
},
{
"role": "assistant",
"content": "<reasoning>\n66 mod 731: 66 = 731 × 0 + 66, so remainder = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -44 = 586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 18x = 630. Divide by 18: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 68, 72, 16, 85, 40, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 16 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -36 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 1x = 20. Divide by 1: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 34, 34, 38, 19, 21, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 34: 2, 38: 1, 19: 1, 21: 1, 9: 1}. Most frequent: 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 9, 15, 87, 11, 51, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 9, 11, 15, 17, 51, 87]. Middle value(s) → median = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 815 - 518"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 518 from 815: 815 - 518 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 522 + 516"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 522 and 516: 522 + 516 = 1038.\n</reasoning>\nFinal Answer: 1038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 784 × -611"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 784 by -611: 784 × -611 = -479024.\n</reasoning>\nFinal Answer: -479024"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13693 at 1% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13693 × 1 × 6 / 100 = 821.58.\n</reasoning>\nFinal Answer: 821.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 + 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 10/4. Common denominator = 2. Result = 11/2.\n</reasoning>\nFinal Answer: 11/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 18) * (3 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+18)=41, (3-49)=-46, then 41×-46=-1886.\n</reasoning>\nFinal Answer: -1886"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33319 at 16% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33319 × 16 × 6 / 100 = 31986.24.\n</reasoning>\nFinal Answer: 31986.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 34 = 412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 27x = 378. Divide by 27: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 184 km/h. How far does it travel in 9 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 3/60 = 9.0500 hours. Distance = speed × time = 184 × 9.0500 = 1665.2 km.\n</reasoning>\nFinal Answer: 1665.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 - 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/14 - 10/12. LCD = 42. Result = 5/21.\n</reasoning>\nFinal Answer: 5/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 893 mod 441"
},
{
"role": "assistant",
"content": "<reasoning>\n893 mod 441: 893 = 441 × 2 + 11, so remainder = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 794 km apart. Their speeds are 69 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+62=131 km/h. Time = 794/131 = 6.0611 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -40 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 12x = 120. Divide by 12: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 323 + -193"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 323 and -193: 323 + -193 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -807 - 933"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 933 from -807: -807 - 933 = -1740.\n</reasoning>\nFinal Answer: -1740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 17 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+17) × 17 = 535.5.\n</reasoning>\nFinal Answer: 535.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 14, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (23-1)×14 = 18 + 308 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -931 + 540"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -931 and 540: -931 + 540 = -391.\n</reasoning>\nFinal Answer: -391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (0)x + (-144) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×4×-144 = 2304. √discriminant = 48. x = (-(0) ± 48) / (2×4). Solutions: x = -6 or x = 6.\n</reasoning>\nFinal Answer: x = -6 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 96 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+83=179 km/h. Time = 837/179 = 4.676 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 is what percentage of 893?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/893) × 100 = 0.6719%.\n</reasoning>\nFinal Answer: 0.6719%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 609 mod 34"
},
{
"role": "assistant",
"content": "<reasoning>\n609 mod 34: 609 = 34 × 17 + 31, so remainder = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 233 - -191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -191 from 233: 233 - -191 = 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 960 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 960 × (1 + 90/100) = 960 × 1.9 = 1824.0.\n</reasoning>\nFinal Answer: 1824.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 91 km/h. How far does it travel in 7 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 15/60 = 7.2500 hours. Distance = speed × time = 91 × 7.2500 = 659.75 km.\n</reasoning>\nFinal Answer: 659.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 + 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/18 + 1/19. Common denominator = 171. Result = 28/171.\n</reasoning>\nFinal Answer: 28/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 17, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (39-1)×17 = 12 + 646 = 658.\n</reasoning>\nFinal Answer: 658"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 14, 18] and B = [1, 2, 3, 5, 8, 10, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 8, 10, 13, 14, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "180 is what percentage of 424?"
},
{
"role": "assistant",
"content": "<reasoning>\n(180/424) × 100 = 42.4528%.\n</reasoning>\nFinal Answer: 42.4528%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 735 × -631"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 735 by -631: 735 × -631 = -463785.\n</reasoning>\nFinal Answer: -463785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 31, 72, 95, 23, 50, 19, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 31: 1, 72: 1, 95: 1, 23: 1, 50: 1, 19: 1, 90: 1}. Most frequent: [91, 31, 72, 95, 23, 50, 19, 90].\n</reasoning>\nFinal Answer: [91, 31,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 16, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (11-1)×16 = 28 + 160 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 34 = -686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 30x = -720. Divide by 30: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [9, 12, 17, 19] and B = [1, 8, 9, 14, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 19].\n</reasoning>\nFinal Answer: [12, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 86 = 2322.0.\n</reasoning>\nFinal Answer: 2322.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×9)/1 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 250 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 250 × (1 - 12/100) = 250 × 0.88 = 220.0.\n</reasoning>\nFinal Answer: 220.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 * 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/3) × (20/5) = (200/15) = 40/3 after simplification.\n</reasoning>\nFinal Answer: 40/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -598 + 205"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -598 and 205: -598 + 205 = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 38 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 32+1444-46=1430.\n</reasoning>\nFinal Answer: 1430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "34 is what percentage of 211?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/211) × 100 = 16.1137%.\n</reasoning>\nFinal Answer: 16.1137%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 50 + 5 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×50=1100 and 5×47=235, then add: 1335.\n</reasoning>\nFinal Answer: 1335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 144 - 823"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 823 from 144: 144 - 823 = -679.\n</reasoning>\nFinal Answer: -679"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 91, 94, 52, 67, 10, 77, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 1 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 92 = 6072.\n</reasoning>\nFinal Answer: 6072"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 35, 81, 42, 91, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 285/6 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -142 - 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 186 from -142: -142 - 186 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (18/4) = (13/10) × (4/18) = 13/45.\n</reasoning>\nFinal Answer: 13/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:9 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/9, so B = A × (9/50) = 78 × 9/50 = 14.04.\n</reasoning>\nFinal Answer: 14.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 28, 100, 81, 69, 11, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 11, 23, 28, 69, 81, 100]. Middle value(s) → median = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 46 - -363"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -363 from 46: 46 - -363 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/7 + 4/19. Common denominator = 133. Result = 142/133.\n</reasoning>\nFinal Answer: 142/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 546 km apart. Their speeds are 65 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+112=177 km/h. Time = 546/177 = 3.0847 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 999 + -774"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 999 and -774: 999 + -774 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 58, 58, 46, 29, 23, 15, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 15 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 4 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -969 - -595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -595 from -969: -969 - -595 = -374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 42 = -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 14x = -686. Divide by 14: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37276 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37276 × 4 × 4 / 100 = 5964.16.\n</reasoning>\nFinal Answer: 5964.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 14 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 14 × (1 + 35/100) = 14 × 1.35 = 18.9.\n</reasoning>\nFinal Answer: 18.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 26, 10, 84, 69, 12, 10, 86, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 470/9 = 52.2222.\n</reasoning>\nFinal Answer: 52.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 36 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+36) × 42 = 1218.0.\n</reasoning>\nFinal Answer: 1218.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 156 - -319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -319 from 156: 156 - -319 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 17, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 17 + 18 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/3 + 10/3. Common denominator = 3. Result = 23/3.\n</reasoning>\nFinal Answer: 23/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 908?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 908 = (17/100) × 908 = 154.36.\n</reasoning>\nFinal Answer: 154.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 35 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 16+1225-1=1240.\n</reasoning>\nFinal Answer: 1240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 196 apples and buys 151 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 196 + 151 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/10 - 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/10 - 8/10. LCD = 5. Result = -2/5.\n</reasoning>\nFinal Answer: -2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -442 - -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -69 from -442: -442 - -69 = -373.\n</reasoning>\nFinal Answer: -373"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -34 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 29x = -58. Divide by 29: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 975 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from 975: 975 - 28 = 947.\n</reasoning>\nFinal Answer: 947"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 60 = 2310.0.\n</reasoning>\nFinal Answer: 2310.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 45 + 49 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×45=1755 and 49×3=147, then add: 1902.\n</reasoning>\nFinal Answer: 1902"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 - 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/20 - 4/7. LCD = 70. Result = -19/70.\n</reasoning>\nFinal Answer: -19/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:22 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/22, so B = A × (22/36) = 71 × 22/36 = 43.3889.\n</reasoning>\nFinal Answer: 43.3889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 4/14 = 0.2857.\n</reasoning>\nFinal Answer: 0.2857"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -512 × 636"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -512 by 636: -512 × 636 = -325632.\n</reasoning>\nFinal Answer: -325632"
}
] | medium | [
"arithmetic",
"computation"
] |
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