messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 8x + 49 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 8x = 168. Divide by 8: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28105 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28105 × 6 × 9 / 100 = 15176.7.\n</reasoning>\nFinal Answer: 15176.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,14) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 3/10 + 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/10 + 14/14. Common denominator = 10. Result = 13/10.\n</reasoning>\nFinal Answer: 13/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 9^6"
},
{
"role": "assistant",
"content": "<reasoning>\n9^6 = 9 × 9 × 9 × 9 × 9 × 9 = 531441.\n</reasoning>\nFinal Answer: 531441"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Given A = [3, 17, 18] and B = [5, 6, 8, 9, 12, 14, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -793 ÷ 519"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -793 by 519. -793 ÷ 519 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/14 - 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/14 - 6/4. LCD = 14. Result = -17/14.\n</reasoning>\nFinal Answer: -17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 - 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/11 - 4/19. LCD = 209. Result = 51/209.\n</reasoning>\nFinal Answer: 51/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:33 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/33, so B = A × (33/6) = 41 × 33/6 = 225.5.\n</reasoning>\nFinal Answer: 225.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:37 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/37, so B = A × (37/32) = 77 × 37/32 = 89.0312.\n</reasoning>\nFinal Answer: 89.0312"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 120 × 1.8333 = 220.0 km.\n</reasoning>\nFinal Answer: 220.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 23, 6, 19, 60, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 6 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -38 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 4x = 68. Divide by 4: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 45% of 814?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 814 = (45/100) × 814 = 366.3.\n</reasoning>\nFinal Answer: 366.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 6 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 6+36-2=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 783 km apart. Their speeds are 45 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 45+90=135 km/h. Time = 783/135 = 5.8 hours.\n</reasoning>\nFinal Answer: 5... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 74 km/h. How far does it travel in 11 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 44/60 = 11.7333 hours. Distance = speed × time = 74 × 11.7333 = 868.2667 km.\n</reasoning>\nFinal Answer: 868.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 68 km/h. How far does it travel in 2 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 53/60 = 2.8833 hours. Distance = speed × time = 68 × 2.8833 = 196.0667 km.\n</reasoning>\nFinal Answer: 196.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45077 at 5% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45077 × 5 × 2 / 100 = 4507.7.\n</reasoning>\nFinal Answer: 4507.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 383 + 134"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 383 and 134: 383 + 134 = 517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 17/20. LCD = 60. Result = 13/60.\n</reasoning>\nFinal Answer: 13/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 1, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (43-1)×1 = 46 + 42 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 46 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 6x = 54. Divide by 6: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 152 × 150"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 152 by 150: 152 × 150 = 22800.\n</reasoning>\nFinal Answer: 22800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 44 = -802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 18x = -846. Divide by 18: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/14 / 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/14) ÷ (14/10) = (9/14) × (10/14) = 45/98.\n</reasoning>\nFinal Answer: 45/98"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = 153. Divide by 9: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 191?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 191 = (70/100) × 191 = 133.7.\n</reasoning>\nFinal Answer: 133.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -200 ÷ 228"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -200 by 228. -200 ÷ 228 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 12 = -138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 5x = -150. Divide by 5: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 40 + 18 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×40=1320 and 18×8=144, then add: 1464.\n</reasoning>\nFinal Answer: 1464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 18 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 18 = 54 worker-days. New time = 54 / 11 = 4.9091 days.\n</reasoning>\nFinal Answer: 4.9091"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 15, 18, 19] and B = [3, 5, 7, 9, 14, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 6, 7, 9, 14, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 885 km apart. Their speeds are 93 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+64=157 km/h. Time = 885/157 = 5.6369 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 / 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/4) ÷ (5/17) = (6/4) × (17/5) = 51/10.\n</reasoning>\nFinal Answer: 51/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+11) = 2×90 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -389 × 113"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -389 by 113: -389 × 113 = -43957.\n</reasoning>\nFinal Answer: -43957"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33772 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33772 × 18 × 9 / 100 = 54710.64.\n</reasoning>\nFinal Answer: 54710.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -13 = 103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 4x = 116. Divide by 4: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 39 = -1101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 30x = -1140. Divide by 30: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "742 is what percentage of 789?"
},
{
"role": "assistant",
"content": "<reasoning>\n(742/789) × 100 = 94.0431%.\n</reasoning>\nFinal Answer: 94.0431%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 11 = 589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 17x = 578. Divide by 17: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 525 + -912"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 525 and -912: 525 + -912 = -387.\n</reasoning>\nFinal Answer: -387"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 / 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/15) ÷ (10/16) = (9/15) × (16/10) = 24/25.\n</reasoning>\nFinal Answer: 24/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 104 - -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -178 from 104: 104 - -178 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 0 = 48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 3x = 48. Divide by 3: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 754 mod -649"
},
{
"role": "assistant",
"content": "<reasoning>\n754 mod -649: 754 = -649 × -2 + -544, so remainder = -544.\n</reasoning>\nFinal Answer: -544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 358 + -392"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 358 and -392: 358 + -392 = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -931 mod -747"
},
{
"role": "assistant",
"content": "<reasoning>\n-931 mod -747: -931 = -747 × 1 + -184, so remainder = -184.\n</reasoning>\nFinal Answer: -184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 4 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -22 = 266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 8x = 288. Divide by 8: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:30 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/30, so B = A × (30/26) = 82 × 30/26 = 94.6154.\n</reasoning>\nFinal Answer: 94.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -734 + 78"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -734 and 78: -734 + 78 = -656.\n</reasoning>\nFinal Answer: -656"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 105 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 576 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 576 × (1 + 45/100) = 576 × 1.45 = 835.2.\n</reasoning>\nFinal Answer: 835.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "471 is what percentage of 825?"
},
{
"role": "assistant",
"content": "<reasoning>\n(471/825) × 100 = 57.0909%.\n</reasoning>\nFinal Answer: 57.0909%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 46) * (14 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+46)=55, (14-36)=-22, then 55×-22=-1210.\n</reasoning>\nFinal Answer: -1210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -107 ÷ 591"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -107 by 591. -107 ÷ 591 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 7?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 7 = (80/100) × 7 = 5.6.\n</reasoning>\nFinal Answer: 5.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -645 + -597"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -645 and -597: -645 + -597 = -1242.\n</reasoning>\nFinal Answer: -1242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 - 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/8 - 2/4. LCD = 2. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 993 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 993 × (1 + 45/100) = 993 × 1.45 = 1439.85.\n</reasoning>\nFinal Answer: 1439.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 187 apples and buys 5 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 187 + 5 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 4, 47, 75, 75, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 19, 47, 49, 75, 75]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 69 = 2415.0.\n</reasoning>\nFinal Answer: 2415.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 108 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45427 at 14% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45427 × 14 × 9 / 100 = 57238.02.\n</reasoning>\nFinal Answer: 57238.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:1 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/1, so B = A × (1/10) = 12 × 1/10 = 1.2.\n</reasoning>\nFinal Answer: 1.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 798 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 798 × (1 - 25/100) = 798 × 0.75 = 598.5.\n</reasoning>\nFinal Answer: 598.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 34 = 188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 11x = 154. Divide by 11: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 187 ÷ 900"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 187 by 900. 187 ÷ 900 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 * 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/9) × (13/15) = (156/135) = 52/45 after simplification.\n</reasoning>\nFinal Answer: 52/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 20, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (45-1)×20 = 26 + 880 = 906.\n</reasoning>\nFinal Answer: 906"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -757 mod 272"
},
{
"role": "assistant",
"content": "<reasoning>\n-757 mod 272: -757 = 272 × -3 + 59, so remainder = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 12 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 25/60 = 12.4167 hours. Distance = speed × time = 106 × 12.4167 = 1316.1667 km.\n</reasoning>\nFinal Answer: 1316.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 189 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 189 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 5, 36, 52, 33, 31, 48, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 5: 1, 36: 1, 52: 1, 33: 1, 31: 1, 48: 1, 66: 1}. Most frequent: [96, 5, 36, 52, 33, 31, 48, 66].\n</reasoning>\nFinal Answer: [96, 5, 36,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 60 = 420.0.\n</reasoning>\nFinal Answer: 420.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:33 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/33, so B = A × (33/29) = 28 × 33/29 = 31.8621.\n</reasoning>\nFinal Answer: 31.8621"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 + 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/18 + 11/14. Common denominator = 126. Result = 211/126.\n</reasoning>\nFinal Answer: 211/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 80, 10, 21, 100, 2, 14, 72, 88, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 2 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -642 mod 570"
},
{
"role": "assistant",
"content": "<reasoning>\n-642 mod 570: -642 = 570 × -2 + 498, so remainder = 498.\n</reasoning>\nFinal Answer: 498"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 21 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 3+441-9=435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 700 mod 745"
},
{
"role": "assistant",
"content": "<reasoning>\n700 mod 745: 700 = 745 × 0 + 700, so remainder = 700.\n</reasoning>\nFinal Answer: 700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "49 is what percentage of 80?"
},
{
"role": "assistant",
"content": "<reasoning>\n(49/80) × 100 = 61.25%.\n</reasoning>\nFinal Answer: 61.25%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 44, 36, 98, 77, 34, 67, 49, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 36, 44, 49, 52, 67, 77, 93, 98]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -36 = -684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 24x = -648. Divide by 24: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -44 = -314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 30x = -270. Divide by 30: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/10) × (2/7) = (10/70) = 1/7 after simplification.\n</reasoning>\nFinal Answer: 1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27521 at 2% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27521 × 2 × 1 / 100 = 550.42.\n</reasoning>\nFinal Answer: 550.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 - 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/18 - 10/4. LCD = 18. Result = -17/9.\n</reasoning>\nFinal Answer: -17/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 2 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 2 × 17 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 163 and 85."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(163,85) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 1/9 + 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/9 + 20/6. Common denominator = 9. Result = 31/9.\n</reasoning>\nFinal Answer: 31/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -209 mod -31"
},
{
"role": "assistant",
"content": "<reasoning>\n-209 mod -31: -209 = -31 × 6 + -23, so remainder = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 21 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 8x = -16. Divide by 8: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 12, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (49-1)×12 = 22 + 576 = 598.\n</reasoning>\nFinal Answer: 598"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -9 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 11x = 99. Divide by 11: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 244 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 244 × (1 + 90/100) = 244 × 1.9 = 463.6.\n</reasoning>\nFinal Answer: 463.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
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