messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -866 - -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -825 from -866: -866 - -825 = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -16 ÷ -919"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -16 by -919. -16 ÷ -919 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 * 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/2) × (16/12) = (304/24) = 38/3 after simplification.\n</reasoning>\nFinal Answer: 38/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (1/6) = (14/18) = 7/9 after simplification.\n</reasoning>\nFinal Answer: 7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:45 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/45, so B = A × (45/21) = 21 × 45/21 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 38) * (21 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+38)=50, (21-35)=-14, then 50×-14=-700.\n</reasoning>\nFinal Answer: -700"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 10, 12, 13, 15, 19] and B = [5, 6, 10, 13], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 13].\n</reasoning>\nFinal Answer: [10, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 942 ÷ -557"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 942 by -557. 942 ÷ -557 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 * 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/5) × (20/7) = (320/35) = 64/7 after simplification.\n</reasoning>\nFinal Answer: 64/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46076 at 11% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46076 × 11 × 10 / 100 = 50683.6.\n</reasoning>\nFinal Answer: 50683.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 627 × 480"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 627 by 480: 627 × 480 = 300960.\n</reasoning>\nFinal Answer: 300960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 90% of 611?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 611 = (90/100) × 611 = 549.9.\n</reasoning>\nFinal Answer: 549.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 7, 22, 62, 19, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 11, 19, 22, 36, 62]. Middle value(s) → median = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 74, 63, 30, 10, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 74: 2, 63: 1, 30: 1, 10: 1}. Most frequent: 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 + 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/4 + 16/18. Common denominator = 36. Result = 95/36.\n</reasoning>\nFinal Answer: 95/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 79 + 65"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 79 and 65: 79 + 65 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 * 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/1) × (14/7) = (98/7) = 14 after simplification.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 441 mod 330"
},
{
"role": "assistant",
"content": "<reasoning>\n441 mod 330: 441 = 330 × 1 + 111, so remainder = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 13, 14] and B = [1, 2, 7, 9, 11, 12, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 14].\n</reasoning>\nFinal Answer: [5, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 981 ÷ -263"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 981 by -263. 981 ÷ -263 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -903 + 907"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -903 and 907: -903 + 907 = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 7 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+7) × 17 = 144.5.\n</reasoning>\nFinal Answer: 144.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -945 - -622"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -622 from -945: -945 - -622 = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 37 = -44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 9x = -81. Divide by 9: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 16 = 586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 15x = 570. Divide by 15: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "307 is what percentage of 582?"
},
{
"role": "assistant",
"content": "<reasoning>\n(307/582) × 100 = 52.7491%.\n</reasoning>\nFinal Answer: 52.7491%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 835 mod 842"
},
{
"role": "assistant",
"content": "<reasoning>\n835 mod 842: 835 = 842 × 0 + 835, so remainder = 835.\n</reasoning>\nFinal Answer: 835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 5 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+5) × 4 = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:1 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/1, so B = A × (1/31) = 87 × 1/31 = 2.8065.\n</reasoning>\nFinal Answer: 2.8065"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "329 is what percentage of 876?"
},
{
"role": "assistant",
"content": "<reasoning>\n(329/876) × 100 = 37.5571%.\n</reasoning>\nFinal Answer: 37.5571%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 11, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (41-1)×11 = 15 + 440 = 455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 7 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 38+49-23=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 55, 69, 27, 68, 49, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 27, 49, 55, 66, 68, 69]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (14/4) = (10/14) × (4/14) = 10/49.\n</reasoning>\nFinal Answer: 10/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 1, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (41-1)×1 = 20 + 40 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17967 at 18% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17967 × 18 × 3 / 100 = 9702.18.\n</reasoning>\nFinal Answer: 9702.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -758 + -416"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -758 and -416: -758 + -416 = -1174.\n</reasoning>\nFinal Answer: -1174"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+30) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 13, 65, 85, 14, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 262/6 = 43.6667.\n</reasoning>\nFinal Answer: 43.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 13, 42, 1, 94, 100, 62, 94, 77, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 13, 21, 31, 42, 62, 77, 94, 94, 100]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 16 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 16 × 29 = 464.\n</reasoning>\nFinal Answer: 464"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = -60. Divide by 4: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 650 - 496"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 496 from 650: 650 - 496 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:36 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/36, so B = A × (36/43) = 1 × 36/43 = 0.8372.\n</reasoning>\nFinal Answer: 0.8372"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 757 mod 613"
},
{
"role": "assistant",
"content": "<reasoning>\n757 mod 613: 757 = 613 × 1 + 144, so remainder = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -782 + 371"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -782 and 371: -782 + 371 = -411.\n</reasoning>\nFinal Answer: -411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 683 km apart. Their speeds are 116 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+113=229 km/h. Time = 683/229 = 2.9825 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 8 = -600"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 16x = -608. Divide by 16: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 57 = 1596.\n</reasoning>\nFinal Answer: 1596"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 8, 9, 11, 12, 13, 17] and B = [1, 6, 7, 9, 10, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 11, 12, 13, 17].\n</reasoning>\nFinal Answer: [8, 11, 12, 13, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 946 km apart. Their speeds are 72 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+40=112 km/h. Time = 946/112 = 8.4464 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -412 - 581"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 581 from -412: -412 - 581 = -993.\n</reasoning>\nFinal Answer: -993"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 17 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 17 = 272 worker-days. New time = 272 / 8 = 34.0 days.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 95 = 1425.\n</reasoning>\nFinal Answer: 1425"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -44 + -276"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -44 and -276: -44 + -276 = -320.\n</reasoning>\nFinal Answer: -320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:33 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/33, so B = A × (33/27) = 82 × 33/27 = 100.2222.\n</reasoning>\nFinal Answer: 100.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 617 km apart. Their speeds are 85 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+99=184 km/h. Time = 617/184 = 3.3533 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 36) * (43 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+36)=55, (43-46)=-3, then 55×-3=-165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 483 km apart. Their speeds are 46 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+43=89 km/h. Time = 483/89 = 5.427 hours.\n</reasoning>\nFinal Answer: 5... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 542 ÷ -362"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 542 by -362. 542 ÷ -362 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 20 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 20 + 62 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 193 km apart. Their speeds are 101 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+58=159 km/h. Time = 193/159 = 1.2138 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 18, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 18 + 26 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 58, 35, 54, 72, 29, 23, 87, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 470/9 = 52.2222.\n</reasoning>\nFinal Answer: 52.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 + 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/6 + 12/3. Common denominator = 6. Result = 35/6.\n</reasoning>\nFinal Answer: 35/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -585 ÷ 956"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -585 by 956. -585 ÷ 956 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 530 - 771"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 771 from 530: 530 - 771 = -241.\n</reasoning>\nFinal Answer: -241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 133 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 133 × (1 - 12/100) = 133 × 0.88 = 117.04.\n</reasoning>\nFinal Answer: 117.04"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:50 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/50, so B = A × (50/30) = 69 × 50/30 = 115.0.\n</reasoning>\nFinal Answer: 115.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,30) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 32 = 1536.\n</reasoning>\nFinal Answer: 1536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -652 - 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 149 from -652: -652 - 149 = -801.\n</reasoning>\nFinal Answer: -801"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 8 * 40 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×40=320, then 8+320-35=293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 9 apples and buys 155 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 9 + 155 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -288 mod 693"
},
{
"role": "assistant",
"content": "<reasoning>\n-288 mod 693: -288 = 693 × -1 + 405, so remainder = 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 353 ÷ -414"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 353 by -414. 353 ÷ -414 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 6) * (6 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+6)=31, (6-4)=2, then 31×2=62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 125 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n125 = 5 × 25, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -47 = -311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 12x = -264. Divide by 12: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 48) * (16 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+48)=50, (16-37)=-21, then 50×-21=-1050.\n</reasoning>\nFinal Answer: -1050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 51, 21, 15, 34, 9, 68, 66, 31, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/10 = 40.1.\n</reasoning>\nFinal Answer: 40.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 436 - -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -309 from 436: 436 - -309 = 745.\n</reasoning>\nFinal Answer: 745"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 46, 34, 28, 64, 9, 49, 26, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 9 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 / 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/1) ÷ (19/7) = (10/1) × (7/19) = 70/19.\n</reasoning>\nFinal Answer: 70/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 43 = 131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 8x = 88. Divide by 8: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 17) * (50 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+17)=18, (50-21)=29, then 18×29=522.\n</reasoning>\nFinal Answer: 522"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 122 km apart. Their speeds are 96 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+54=150 km/h. Time = 122/150 = 0.8133 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/9 + 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/9 + 4/20. Common denominator = 45. Result = 14/45.\n</reasoning>\nFinal Answer: 14/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 2 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 3x = -60. Divide by 3: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -783 + -546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -783 and -546: -783 + -546 = -1329.\n</reasoning>\nFinal Answer: -1329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 68, 20, 90, 6, 87, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 2 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:5 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/5, so B = A × (5/14) = 60 × 5/14 = 21.4286.\n</reasoning>\nFinal Answer: 21.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 11) * (19 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+11)=21, (19-43)=-24, then 21×-24=-504.\n</reasoning>\nFinal Answer: -504"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -221 - -1000"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1000 from -221: -221 - -1000 = 779.\n</reasoning>\nFinal Answer: 779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 95 = 7980.\n</reasoning>\nFinal Answer: 7980"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:22 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/22, so B = A × (22/50) = 85 × 22/50 = 37.4.\n</reasoning>\nFinal Answer: 37.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 421 × 283"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 421 by 283: 421 × 283 = 119143.\n</reasoning>\nFinal Answer: 119143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3343. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3343 × 12/100 = 401.16. Total = 3343 + 401.16 = 3744.16.\n</reasoning>\nFinal Answer: 3744.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 77 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 77 × 51 = 3927.\n</reasoning>\nFinal Answer: 3927"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 84 = 2436.\n</reasoning>\nFinal Answer: 2436"
}
] | easy | [
"geometry",
"area"
] |
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