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  1. v0.3/arithmetic.ratios.jsonl +0 -223
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- {"problem": "Simplify the ratio 18:42.", "solution": "Divide both terms by 6.\n18:42 = 3:7", "answer": "3:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
2
- {"problem": "Simplify the ratio 18:30.", "solution": "Divide both terms by 6.\n18:30 = 3:5", "answer": "3:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
3
- {"problem": "Simplify the ratio 88:80.", "solution": "Divide both terms by 8.\n88:80 = 11:10", "answer": "11:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
4
- {"problem": "Simplify the ratio 55:50.", "solution": "Divide both terms by 5.\n55:50 = 11:10", "answer": "11:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
5
- {"problem": "Simplify the ratio 80:96.", "solution": "Divide both terms by 16.\n80:96 = 5:6", "answer": "5:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "verification_status": "verified"}
6
- {"problem": "Simplify the ratio 10:18.", "solution": "gcd(10, 18) = 2\n10 ÷ 2 = 5\n18 ÷ 2 = 9\n10:18 = 5:9", "answer": "5:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000002"}
7
- {"problem": "Simplify the ratio 38:30.", "solution": "gcd(38, 30) = 2\n38 ÷ 2 = 19\n30 ÷ 2 = 15\n38:30 = 19:15", "answer": "19:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000003"}
8
- {"problem": "Simplify the ratio 38:34.", "solution": "gcd(38, 34) = 2\n38 ÷ 2 = 19\n34 ÷ 2 = 17\n38:34 = 19:17", "answer": "19:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000004"}
9
- {"problem": "Simplify the ratio 32:18.", "solution": "gcd(32, 18) = 2\n32 ÷ 2 = 16\n18 ÷ 2 = 9\n32:18 = 16:9", "answer": "16:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000005"}
10
- {"problem": "Simplify the ratio 11:11.", "solution": "gcd(11, 11) = 11\n11 ÷ 11 = 1\n11 ÷ 11 = 1\n11:11 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000013"}
11
- {"problem": "Simplify the ratio 34:10.", "solution": "gcd(34, 10) = 2\n34 ÷ 2 = 17\n10 ÷ 2 = 5\n34:10 = 17:5", "answer": "17:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000018"}
12
- {"problem": "Simplify the ratio 30:34.", "solution": "gcd(30, 34) = 2\n30 ÷ 2 = 15\n34 ÷ 2 = 17\n30:34 = 15:17", "answer": "15:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000024"}
13
- {"problem": "Simplify the ratio 16:18.", "solution": "gcd(16, 18) = 2\n16 ÷ 2 = 8\n18 ÷ 2 = 9\n16:18 = 8:9", "answer": "8:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000033"}
14
- {"problem": "Simplify the ratio 34:30.", "solution": "gcd(34, 30) = 2\n34 ÷ 2 = 17\n30 ÷ 2 = 15\n34:30 = 17:15", "answer": "17:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000036"}
15
- {"problem": "Simplify the ratio 6:22.", "solution": "gcd(6, 22) = 2\n6 ÷ 2 = 3\n22 ÷ 2 = 11\n6:22 = 3:11", "answer": "3:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000037"}
16
- {"problem": "Simplify the ratio 4:8.", "solution": "gcd(4, 8) = 4\n4 ÷ 4 = 1\n8 ÷ 4 = 2\n4:8 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000046"}
17
- {"problem": "Simplify the ratio 40:34.", "solution": "gcd(40, 34) = 2\n40 ÷ 2 = 20\n34 ÷ 2 = 17\n40:34 = 20:17", "answer": "20:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000051"}
18
- {"problem": "Simplify the ratio 36:22.", "solution": "gcd(36, 22) = 2\n36 ÷ 2 = 18\n22 ÷ 2 = 11\n36:22 = 18:11", "answer": "18:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000054"}
19
- {"problem": "Simplify the ratio 22:36.", "solution": "gcd(22, 36) = 2\n22 ÷ 2 = 11\n36 ÷ 2 = 18\n22:36 = 11:18", "answer": "11:18", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000057"}
20
- {"problem": "Simplify the ratio 8:14.", "solution": "gcd(8, 14) = 2\n8 ÷ 2 = 4\n14 ÷ 2 = 7\n8:14 = 4:7", "answer": "4:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000059"}
21
- {"problem": "Simplify the ratio 34:24.", "solution": "gcd(34, 24) = 2\n34 ÷ 2 = 17\n24 ÷ 2 = 12\n34:24 = 17:12", "answer": "17:12", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000063"}
22
- {"problem": "Simplify the ratio 14:12.", "solution": "gcd(14, 12) = 2\n14 ÷ 2 = 7\n12 ÷ 2 = 6\n14:12 = 7:6", "answer": "7:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000066"}
23
- {"problem": "Simplify the ratio 18:8.", "solution": "gcd(18, 8) = 2\n18 ÷ 2 = 9\n8 ÷ 2 = 4\n18:8 = 9:4", "answer": "9:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000067"}
24
- {"problem": "Simplify the ratio 6:32.", "solution": "gcd(6, 32) = 2\n6 ÷ 2 = 3\n32 ÷ 2 = 16\n6:32 = 3:16", "answer": "3:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000072"}
25
- {"problem": "Simplify the ratio 30:8.", "solution": "gcd(30, 8) = 2\n30 ÷ 2 = 15\n8 ÷ 2 = 4\n30:8 = 15:4", "answer": "15:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000078"}
26
- {"problem": "Simplify the ratio 10:5.", "solution": "gcd(10, 5) = 5\n10 ÷ 5 = 2\n5 ÷ 5 = 1\n10:5 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000085"}
27
- {"problem": "Simplify the ratio 38:16.", "solution": "gcd(38, 16) = 2\n38 ÷ 2 = 19\n16 ÷ 2 = 8\n38:16 = 19:8", "answer": "19:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000091"}
28
- {"problem": "Simplify the ratio 20:38.", "solution": "gcd(20, 38) = 2\n20 ÷ 2 = 10\n38 ÷ 2 = 19\n20:38 = 10:19", "answer": "10:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000095"}
29
- {"problem": "Simplify the ratio 12:10.", "solution": "gcd(12, 10) = 2\n12 ÷ 2 = 6\n10 ÷ 2 = 5\n12:10 = 6:5", "answer": "6:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000100"}
30
- {"problem": "Simplify the ratio 8:22.", "solution": "gcd(8, 22) = 2\n8 ÷ 2 = 4\n22 ÷ 2 = 11\n8:22 = 4:11", "answer": "4:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000101"}
31
- {"problem": "Simplify the ratio 40:26.", "solution": "gcd(40, 26) = 2\n40 ÷ 2 = 20\n26 ÷ 2 = 13\n40:26 = 20:13", "answer": "20:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000106"}
32
- {"problem": "Simplify the ratio 10:14.", "solution": "gcd(10, 14) = 2\n10 ÷ 2 = 5\n14 ÷ 2 = 7\n10:14 = 5:7", "answer": "5:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000110"}
33
- {"problem": "Simplify the ratio 4:38.", "solution": "gcd(4, 38) = 2\n4 ÷ 2 = 2\n38 ÷ 2 = 19\n4:38 = 2:19", "answer": "2:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000115"}
34
- {"problem": "Simplify the ratio 26:22.", "solution": "gcd(26, 22) = 2\n26 ÷ 2 = 13\n22 ÷ 2 = 11\n26:22 = 13:11", "answer": "13:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000120"}
35
- {"problem": "Simplify the ratio 38:28.", "solution": "gcd(38, 28) = 2\n38 ÷ 2 = 19\n28 ÷ 2 = 14\n38:28 = 19:14", "answer": "19:14", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000125"}
36
- {"problem": "Simplify the ratio 3:18.", "solution": "gcd(3, 18) = 3\n3 ÷ 3 = 1\n18 ÷ 3 = 6\n3:18 = 1:6", "answer": "1:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000129"}
37
- {"problem": "Simplify the ratio 22:16.", "solution": "gcd(22, 16) = 2\n22 ÷ 2 = 11\n16 ÷ 2 = 8\n22:16 = 11:8", "answer": "11:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000139"}
38
- {"problem": "Simplify the ratio 10:6.", "solution": "gcd(10, 6) = 2\n10 ÷ 2 = 5\n6 ÷ 2 = 3\n10:6 = 5:3", "answer": "5:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000145"}
39
- {"problem": "Simplify the ratio 14:36.", "solution": "gcd(14, 36) = 2\n14 ÷ 2 = 7\n36 ÷ 2 = 18\n14:36 = 7:18", "answer": "7:18", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000149"}
40
- {"problem": "Simplify the ratio 16:14.", "solution": "gcd(16, 14) = 2\n16 ÷ 2 = 8\n14 ÷ 2 = 7\n16:14 = 8:7", "answer": "8:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000152"}
41
- {"problem": "Simplify the ratio 4:14.", "solution": "gcd(4, 14) = 2\n4 ÷ 2 = 2\n14 ÷ 2 = 7\n4:14 = 2:7", "answer": "2:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000156"}
42
- {"problem": "Simplify the ratio 4:26.", "solution": "gcd(4, 26) = 2\n4 ÷ 2 = 2\n26 ÷ 2 = 13\n4:26 = 2:13", "answer": "2:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000159"}
43
- {"problem": "Simplify the ratio 9:6.", "solution": "gcd(9, 6) = 3\n9 ÷ 3 = 3\n6 ÷ 3 = 2\n9:6 = 3:2", "answer": "3:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000162"}
44
- {"problem": "Simplify the ratio 18:9.", "solution": "gcd(18, 9) = 9\n18 ÷ 9 = 2\n9 ÷ 9 = 1\n18:9 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000168"}
45
- {"problem": "Simplify the ratio 38:24.", "solution": "gcd(38, 24) = 2\n38 ÷ 2 = 19\n24 ÷ 2 = 12\n38:24 = 19:12", "answer": "19:12", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000174"}
46
- {"problem": "Simplify the ratio 20:18.", "solution": "gcd(20, 18) = 2\n20 ÷ 2 = 10\n18 ÷ 2 = 9\n20:18 = 10:9", "answer": "10:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000180"}
47
- {"problem": "Simplify the ratio 16:38.", "solution": "gcd(16, 38) = 2\n16 ÷ 2 = 8\n38 ÷ 2 = 19\n16:38 = 8:19", "answer": "8:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000195"}
48
- {"problem": "Simplify the ratio 40:38.", "solution": "gcd(40, 38) = 2\n40 ÷ 2 = 20\n38 ÷ 2 = 19\n40:38 = 20:19", "answer": "20:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000201"}
49
- {"problem": "Simplify the ratio 34:20.", "solution": "gcd(34, 20) = 2\n34 ÷ 2 = 17\n20 ÷ 2 = 10\n34:20 = 17:10", "answer": "17:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000207"}
50
- {"problem": "Simplify the ratio 28:22.", "solution": "gcd(28, 22) = 2\n28 ÷ 2 = 14\n22 ÷ 2 = 11\n28:22 = 14:11", "answer": "14:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000213"}
51
- {"problem": "Simplify the ratio 22:34.", "solution": "gcd(22, 34) = 2\n22 ÷ 2 = 11\n34 ÷ 2 = 17\n22:34 = 11:17", "answer": "11:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000215"}
52
- {"problem": "Simplify the ratio 4:18.", "solution": "gcd(4, 18) = 2\n4 ÷ 2 = 2\n18 ÷ 2 = 9\n4:18 = 2:9", "answer": "2:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000216"}
53
- {"problem": "Simplify the ratio 24:34.", "solution": "gcd(24, 34) = 2\n24 ÷ 2 = 12\n34 ÷ 2 = 17\n24:34 = 12:17", "answer": "12:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000217"}
54
- {"problem": "Simplify the ratio 28:10.", "solution": "gcd(28, 10) = 2\n28 ÷ 2 = 14\n10 ÷ 2 = 5\n28:10 = 14:5", "answer": "14:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000221"}
55
- {"problem": "Simplify the ratio 8:2.", "solution": "gcd(8, 2) = 2\n8 ÷ 2 = 4\n2 ÷ 2 = 1\n8:2 = 4:1", "answer": "4:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000222"}
56
- {"problem": "Simplify the ratio 24:26.", "solution": "gcd(24, 26) = 2\n24 ÷ 2 = 12\n26 ÷ 2 = 13\n24:26 = 12:13", "answer": "12:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000225"}
57
- {"problem": "Simplify the ratio 8:6.", "solution": "gcd(8, 6) = 2\n8 ÷ 2 = 4\n6 ÷ 2 = 3\n8:6 = 4:3", "answer": "4:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000226"}
58
- {"problem": "Simplify the ratio 38:12.", "solution": "gcd(38, 12) = 2\n38 ÷ 2 = 19\n12 ÷ 2 = 6\n38:12 = 19:6", "answer": "19:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000227"}
59
- {"problem": "Simplify the ratio 3:3.", "solution": "gcd(3, 3) = 3\n3 ÷ 3 = 1\n3 ÷ 3 = 1\n3:3 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000229"}
60
- {"problem": "Simplify the ratio 4:22.", "solution": "gcd(4, 22) = 2\n4 ÷ 2 = 2\n22 ÷ 2 = 11\n4:22 = 2:11", "answer": "2:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000236"}
61
- {"problem": "Simplify the ratio 4:16.", "solution": "gcd(4, 16) = 4\n4 ÷ 4 = 1\n16 ÷ 4 = 4\n4:16 = 1:4", "answer": "1:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000238"}
62
- {"problem": "Simplify the ratio 15:15.", "solution": "gcd(15, 15) = 15\n15 ÷ 15 = 1\n15 ÷ 15 = 1\n15:15 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000246"}
63
- {"problem": "Simplify the ratio 34:8.", "solution": "gcd(34, 8) = 2\n34 ÷ 2 = 17\n8 ÷ 2 = 4\n34:8 = 17:4", "answer": "17:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000248"}
64
- {"problem": "Simplify the ratio 14:10.", "solution": "gcd(14, 10) = 2\n14 ÷ 2 = 7\n10 ÷ 2 = 5\n14:10 = 7:5", "answer": "7:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000251"}
65
- {"problem": "Simplify the ratio 6:10.", "solution": "gcd(6, 10) = 2\n6 ÷ 2 = 3\n10 ÷ 2 = 5\n6:10 = 3:5", "answer": "3:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000254"}
66
- {"problem": "Simplify the ratio 40:6.", "solution": "gcd(40, 6) = 2\n40 ÷ 2 = 20\n6 ÷ 2 = 3\n40:6 = 20:3", "answer": "20:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000260"}
67
- {"problem": "Simplify the ratio 5:10.", "solution": "gcd(5, 10) = 5\n5 ÷ 5 = 1\n10 ÷ 5 = 2\n5:10 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000262"}
68
- {"problem": "Simplify the ratio 6:8.", "solution": "gcd(6, 8) = 2\n6 ÷ 2 = 3\n8 ÷ 2 = 4\n6:8 = 3:4", "answer": "3:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000264"}
69
- {"problem": "Simplify the ratio 16:20.", "solution": "gcd(16, 20) = 4\n16 ÷ 4 = 4\n20 ÷ 4 = 5\n16:20 = 4:5", "answer": "4:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000265"}
70
- {"problem": "Simplify the ratio 32:34.", "solution": "gcd(32, 34) = 2\n32 ÷ 2 = 16\n34 ÷ 2 = 17\n32:34 = 16:17", "answer": "16:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000267"}
71
- {"problem": "Simplify the ratio 2:6.", "solution": "gcd(2, 6) = 2\n2 ÷ 2 = 1\n6 ÷ 2 = 3\n2:6 = 1:3", "answer": "1:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000268"}
72
- {"problem": "Simplify the ratio 10:24.", "solution": "gcd(10, 24) = 2\n10 ÷ 2 = 5\n24 ÷ 2 = 12\n10:24 = 5:12", "answer": "5:12", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000274"}
73
- {"problem": "Simplify the ratio 34:40.", "solution": "gcd(34, 40) = 2\n34 ÷ 2 = 17\n40 ÷ 2 = 20\n34:40 = 17:20", "answer": "17:20", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000280"}
74
- {"problem": "Simplify the ratio 14:32.", "solution": "gcd(14, 32) = 2\n14 ÷ 2 = 7\n32 ÷ 2 = 16\n14:32 = 7:16", "answer": "7:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000286"}
75
- {"problem": "Simplify the ratio 10:32.", "solution": "gcd(10, 32) = 2\n10 ÷ 2 = 5\n32 ÷ 2 = 16\n10:32 = 5:16", "answer": "5:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000293"}
76
- {"problem": "Simplify the ratio 6:26.", "solution": "gcd(6, 26) = 2\n6 ÷ 2 = 3\n26 ÷ 2 = 13\n6:26 = 3:13", "answer": "3:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000294"}
77
- {"problem": "Simplify the ratio 14:38.", "solution": "gcd(14, 38) = 2\n14 ÷ 2 = 7\n38 ÷ 2 = 19\n14:38 = 7:19", "answer": "7:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000301"}
78
- {"problem": "Simplify the ratio 26:18.", "solution": "gcd(26, 18) = 2\n26 ÷ 2 = 13\n18 ÷ 2 = 9\n26:18 = 13:9", "answer": "13:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000303"}
79
- {"problem": "Simplify the ratio 14:16.", "solution": "gcd(14, 16) = 2\n14 ÷ 2 = 7\n16 ÷ 2 = 8\n14:16 = 7:8", "answer": "7:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000304"}
80
- {"problem": "Simplify the ratio 7:7.", "solution": "gcd(7, 7) = 7\n7 ÷ 7 = 1\n7 ÷ 7 = 1\n7:7 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000307"}
81
- {"problem": "Simplify the ratio 26:8.", "solution": "gcd(26, 8) = 2\n26 ÷ 2 = 13\n8 ÷ 2 = 4\n26:8 = 13:4", "answer": "13:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000314"}
82
- {"problem": "Simplify the ratio 2:10.", "solution": "gcd(2, 10) = 2\n2 ÷ 2 = 1\n10 ÷ 2 = 5\n2:10 = 1:5", "answer": "1:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000315"}
83
- {"problem": "Simplify the ratio 40:14.", "solution": "gcd(40, 14) = 2\n40 ÷ 2 = 20\n14 ÷ 2 = 7\n40:14 = 20:7", "answer": "20:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000318"}
84
- {"problem": "Simplify the ratio 22:12.", "solution": "gcd(22, 12) = 2\n22 ÷ 2 = 11\n12 ÷ 2 = 6\n22:12 = 11:6", "answer": "11:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000325"}
85
- {"problem": "Simplify the ratio 2:8.", "solution": "gcd(2, 8) = 2\n2 ÷ 2 = 1\n8 ÷ 2 = 4\n2:8 = 1:4", "answer": "1:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000332"}
86
- {"problem": "Simplify the ratio 22:6.", "solution": "gcd(22, 6) = 2\n22 ÷ 2 = 11\n6 ÷ 2 = 3\n22:6 = 11:3", "answer": "11:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000337"}
87
- {"problem": "Simplify the ratio 16:22.", "solution": "gcd(16, 22) = 2\n16 ÷ 2 = 8\n22 ÷ 2 = 11\n16:22 = 8:11", "answer": "8:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000338"}
88
- {"problem": "Simplify the ratio 18:4.", "solution": "gcd(18, 4) = 2\n18 ÷ 2 = 9\n4 ÷ 2 = 2\n18:4 = 9:2", "answer": "9:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000344"}
89
- {"problem": "Simplify the ratio 16:26.", "solution": "gcd(16, 26) = 2\n16 ÷ 2 = 8\n26 ÷ 2 = 13\n16:26 = 8:13", "answer": "8:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000348"}
90
- {"problem": "Simplify the ratio 26:36.", "solution": "gcd(26, 36) = 2\n26 ÷ 2 = 13\n36 ÷ 2 = 18\n26:36 = 13:18", "answer": "13:18", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000351"}
91
- {"problem": "Simplify the ratio 10:12.", "solution": "gcd(10, 12) = 2\n10 ÷ 2 = 5\n12 ÷ 2 = 6\n10:12 = 5:6", "answer": "5:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000369"}
92
- {"problem": "Simplify the ratio 22:20.", "solution": "gcd(22, 20) = 2\n22 ÷ 2 = 11\n20 ÷ 2 = 10\n22:20 = 11:10", "answer": "11:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000375"}
93
- {"problem": "Simplify the ratio 12:12.", "solution": "gcd(12, 12) = 12\n12 ÷ 12 = 1\n12 ÷ 12 = 1\n12:12 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000378"}
94
- {"problem": "Simplify the ratio 28:26.", "solution": "gcd(28, 26) = 2\n28 ÷ 2 = 14\n26 ÷ 2 = 13\n28:26 = 14:13", "answer": "14:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000381"}
95
- {"problem": "Simplify the ratio 38:6.", "solution": "gcd(38, 6) = 2\n38 ÷ 2 = 19\n6 ÷ 2 = 3\n38:6 = 19:3", "answer": "19:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000383"}
96
- {"problem": "Simplify the ratio 38:32.", "solution": "gcd(38, 32) = 2\n38 ÷ 2 = 19\n32 ÷ 2 = 16\n38:32 = 19:16", "answer": "19:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000389"}
97
- {"problem": "Simplify the ratio 18:3.", "solution": "gcd(18, 3) = 3\n18 ÷ 3 = 6\n3 ÷ 3 = 1\n18:3 = 6:1", "answer": "6:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000391"}
98
- {"problem": "Simplify the ratio 28:6.", "solution": "gcd(28, 6) = 2\n28 ÷ 2 = 14\n6 ÷ 2 = 3\n28:6 = 14:3", "answer": "14:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000394"}
99
- {"problem": "Simplify the ratio 16:8.", "solution": "gcd(16, 8) = 8\n16 ÷ 8 = 2\n8 ÷ 8 = 1\n16:8 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000397"}
100
- {"problem": "Simplify the ratio 7:14.", "solution": "gcd(7, 14) = 7\n7 ÷ 7 = 1\n14 ÷ 7 = 2\n7:14 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000400"}
101
- {"problem": "Simplify the ratio 38:10.", "solution": "gcd(38, 10) = 2\n38 ÷ 2 = 19\n10 ÷ 2 = 5\n38:10 = 19:5", "answer": "19:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000411"}
102
- {"problem": "Simplify the ratio 8:18.", "solution": "gcd(8, 18) = 2\n8 ÷ 2 = 4\n18 ÷ 2 = 9\n8:18 = 4:9", "answer": "4:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000412"}
103
- {"problem": "Simplify the ratio 34:26.", "solution": "gcd(34, 26) = 2\n34 ÷ 2 = 17\n26 ÷ 2 = 13\n34:26 = 17:13", "answer": "17:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000416"}
104
- {"problem": "Simplify the ratio 12:22.", "solution": "gcd(12, 22) = 2\n12 ÷ 2 = 6\n22 ÷ 2 = 11\n12:22 = 6:11", "answer": "6:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000419"}
105
- {"problem": "Simplify the ratio 6:38.", "solution": "gcd(6, 38) = 2\n6 ÷ 2 = 3\n38 ÷ 2 = 19\n6:38 = 3:19", "answer": "3:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000420"}
106
- {"problem": "Simplify the ratio 15:12.", "solution": "gcd(15, 12) = 3\n15 ÷ 3 = 5\n12 ÷ 3 = 4\n15:12 = 5:4", "answer": "5:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000432"}
107
- {"problem": "Simplify the ratio 9:3.", "solution": "gcd(9, 3) = 3\n9 ÷ 3 = 3\n3 ÷ 3 = 1\n9:3 = 3:1", "answer": "3:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000433"}
108
- {"problem": "Simplify the ratio 26:28.", "solution": "gcd(26, 28) = 2\n26 ÷ 2 = 13\n28 ÷ 2 = 14\n26:28 = 13:14", "answer": "13:14", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000436"}
109
- {"problem": "Simplify the ratio 4:2.", "solution": "gcd(4, 2) = 2\n4 ÷ 2 = 2\n2 ÷ 2 = 1\n4:2 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000437"}
110
- {"problem": "Simplify the ratio 6:34.", "solution": "gcd(6, 34) = 2\n6 ÷ 2 = 3\n34 ÷ 2 = 17\n6:34 = 3:17", "answer": "3:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000438"}
111
- {"problem": "Simplify the ratio 22:14.", "solution": "gcd(22, 14) = 2\n22 ÷ 2 = 11\n14 ÷ 2 = 7\n22:14 = 11:7", "answer": "11:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000445"}
112
- {"problem": "Simplify the ratio 30:32.", "solution": "gcd(30, 32) = 2\n30 ÷ 2 = 15\n32 ÷ 2 = 16\n30:32 = 15:16", "answer": "15:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000454"}
113
- {"problem": "Simplify the ratio 18:15.", "solution": "gcd(18, 15) = 3\n18 ÷ 3 = 6\n15 ÷ 3 = 5\n18:15 = 6:5", "answer": "6:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000457"}
114
- {"problem": "Simplify the ratio 6:9.", "solution": "gcd(6, 9) = 3\n6 ÷ 3 = 2\n9 ÷ 3 = 3\n6:9 = 2:3", "answer": "2:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000461"}
115
- {"problem": "Simplify the ratio 8:38.", "solution": "gcd(8, 38) = 2\n8 ÷ 2 = 4\n38 ÷ 2 = 19\n8:38 = 4:19", "answer": "4:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000466"}
116
- {"problem": "Simplify the ratio 12:34.", "solution": "gcd(12, 34) = 2\n12 ÷ 2 = 6\n34 ÷ 2 = 17\n12:34 = 6:17", "answer": "6:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000475"}
117
- {"problem": "Simplify the ratio 36:34.", "solution": "gcd(36, 34) = 2\n36 ÷ 2 = 18\n34 ÷ 2 = 17\n36:34 = 18:17", "answer": "18:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000478"}
118
- {"problem": "Simplify the ratio 14:40.", "solution": "gcd(14, 40) = 2\n14 ÷ 2 = 7\n40 ÷ 2 = 20\n14:40 = 7:20", "answer": "7:20", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000493"}
119
- {"problem": "Simplify the ratio 10:22.", "solution": "gcd(10, 22) = 2\n10 ÷ 2 = 5\n22 ÷ 2 = 11\n10:22 = 5:11", "answer": "5:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000499"}
120
- {"problem": "Simplify the ratio 6:12.", "solution": "gcd(6, 12) = 6\n6 ÷ 6 = 1\n12 ÷ 6 = 2\n6:12 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000503"}
121
- {"problem": "Simplify the ratio 14:4.", "solution": "gcd(14, 4) = 2\n14 ÷ 2 = 7\n4 ÷ 2 = 2\n14:4 = 7:2", "answer": "7:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000507"}
122
- {"problem": "Simplify the ratio 18:32.", "solution": "gcd(18, 32) = 2\n18 ÷ 2 = 9\n32 ÷ 2 = 16\n18:32 = 9:16", "answer": "9:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000511"}
123
- {"problem": "Simplify the ratio 18:20.", "solution": "gcd(18, 20) = 2\n18 ÷ 2 = 9\n20 ÷ 2 = 10\n18:20 = 9:10", "answer": "9:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000514"}
124
- {"problem": "Simplify the ratio 16:2.", "solution": "gcd(16, 2) = 2\n16 ÷ 2 = 8\n2 ÷ 2 = 1\n16:2 = 8:1", "answer": "8:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000515"}
125
- {"problem": "Simplify the ratio 26:30.", "solution": "gcd(26, 30) = 2\n26 ÷ 2 = 13\n30 ÷ 2 = 15\n26:30 = 13:15", "answer": "13:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000521"}
126
- {"problem": "Simplify the ratio 6:16.", "solution": "gcd(6, 16) = 2\n6 ÷ 2 = 3\n16 ÷ 2 = 8\n6:16 = 3:8", "answer": "3:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000523"}
127
- {"problem": "Simplify the ratio 14:20.", "solution": "gcd(14, 20) = 2\n14 ÷ 2 = 7\n20 ÷ 2 = 10\n14:20 = 7:10", "answer": "7:10", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000528"}
128
- {"problem": "Simplify the ratio 26:6.", "solution": "gcd(26, 6) = 2\n26 ÷ 2 = 13\n6 ÷ 2 = 3\n26:6 = 13:3", "answer": "13:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000536"}
129
- {"problem": "Simplify the ratio 4:10.", "solution": "gcd(4, 10) = 2\n4 ÷ 2 = 2\n10 ÷ 2 = 5\n4:10 = 2:5", "answer": "2:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000537"}
130
- {"problem": "Simplify the ratio 24:22.", "solution": "gcd(24, 22) = 2\n24 ÷ 2 = 12\n22 ÷ 2 = 11\n24:22 = 12:11", "answer": "12:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000556"}
131
- {"problem": "Simplify the ratio 18:28.", "solution": "gcd(18, 28) = 2\n18 ÷ 2 = 9\n28 ÷ 2 = 14\n18:28 = 9:14", "answer": "9:14", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000561"}
132
- {"problem": "Simplify the ratio 20:14.", "solution": "gcd(20, 14) = 2\n20 ÷ 2 = 10\n14 ÷ 2 = 7\n20:14 = 10:7", "answer": "10:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000568"}
133
- {"problem": "Simplify the ratio 12:14.", "solution": "gcd(12, 14) = 2\n12 ÷ 2 = 6\n14 ÷ 2 = 7\n12:14 = 6:7", "answer": "6:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000576"}
134
- {"problem": "Simplify the ratio 6:18.", "solution": "gcd(6, 18) = 6\n6 ÷ 6 = 1\n18 ÷ 6 = 3\n6:18 = 1:3", "answer": "1:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000579"}
135
- {"problem": "Simplify the ratio 14:8.", "solution": "gcd(14, 8) = 2\n14 ÷ 2 = 7\n8 ÷ 2 = 4\n14:8 = 7:4", "answer": "7:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000586"}
136
- {"problem": "Simplify the ratio 26:12.", "solution": "gcd(26, 12) = 2\n26 ÷ 2 = 13\n12 ÷ 2 = 6\n26:12 = 13:6", "answer": "13:6", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000596"}
137
- {"problem": "Simplify the ratio 14:6.", "solution": "gcd(14, 6) = 2\n14 ÷ 2 = 7\n6 ÷ 2 = 3\n14:6 = 7:3", "answer": "7:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000597"}
138
- {"problem": "Simplify the ratio 10:4.", "solution": "gcd(10, 4) = 2\n10 ÷ 2 = 5\n4 ÷ 2 = 2\n10:4 = 5:2", "answer": "5:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000604"}
139
- {"problem": "Simplify the ratio 6:4.", "solution": "gcd(6, 4) = 2\n6 ÷ 2 = 3\n4 ÷ 2 = 2\n6:4 = 3:2", "answer": "3:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000614"}
140
- {"problem": "Simplify the ratio 12:15.", "solution": "gcd(12, 15) = 3\n12 ÷ 3 = 4\n15 ÷ 3 = 5\n12:15 = 4:5", "answer": "4:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000638"}
141
- {"problem": "Simplify the ratio 10:34.", "solution": "gcd(10, 34) = 2\n10 ÷ 2 = 5\n34 ÷ 2 = 17\n10:34 = 5:17", "answer": "5:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000643"}
142
- {"problem": "Simplify the ratio 8:34.", "solution": "gcd(8, 34) = 2\n8 ÷ 2 = 4\n34 ÷ 2 = 17\n8:34 = 4:17", "answer": "4:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000649"}
143
- {"problem": "Simplify the ratio 20:20.", "solution": "gcd(20, 20) = 20\n20 ÷ 20 = 1\n20 ÷ 20 = 1\n20:20 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000650"}
144
- {"problem": "Simplify the ratio 32:38.", "solution": "gcd(32, 38) = 2\n32 ÷ 2 = 16\n38 ÷ 2 = 19\n32:38 = 16:19", "answer": "16:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000651"}
145
- {"problem": "Simplify the ratio 12:8.", "solution": "gcd(12, 8) = 4\n12 ÷ 4 = 3\n8 ÷ 4 = 2\n12:8 = 3:2", "answer": "3:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000657"}
146
- {"problem": "Simplify the ratio 16:34.", "solution": "gcd(16, 34) = 2\n16 ÷ 2 = 8\n34 ÷ 2 = 17\n16:34 = 8:17", "answer": "8:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000671"}
147
- {"problem": "Simplify the ratio 14:22.", "solution": "gcd(14, 22) = 2\n14 ÷ 2 = 7\n22 ÷ 2 = 11\n14:22 = 7:11", "answer": "7:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000677"}
148
- {"problem": "Simplify the ratio 24:38.", "solution": "gcd(24, 38) = 2\n24 ÷ 2 = 12\n38 ÷ 2 = 19\n24:38 = 12:19", "answer": "12:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000685"}
149
- {"problem": "Simplify the ratio 6:14.", "solution": "gcd(6, 14) = 2\n6 ÷ 2 = 3\n14 ÷ 2 = 7\n6:14 = 3:7", "answer": "3:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000687"}
150
- {"problem": "Simplify the ratio 38:36.", "solution": "gcd(38, 36) = 2\n38 ÷ 2 = 19\n36 ÷ 2 = 18\n38:36 = 19:18", "answer": "19:18", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000691"}
151
- {"problem": "Simplify the ratio 10:8.", "solution": "gcd(10, 8) = 2\n10 ÷ 2 = 5\n8 ÷ 2 = 4\n10:8 = 5:4", "answer": "5:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000695"}
152
- {"problem": "Simplify the ratio 15:3.", "solution": "gcd(15, 3) = 3\n15 ÷ 3 = 5\n3 ÷ 3 = 1\n15:3 = 5:1", "answer": "5:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000711"}
153
- {"problem": "Simplify the ratio 14:24.", "solution": "gcd(14, 24) = 2\n14 ÷ 2 = 7\n24 ÷ 2 = 12\n14:24 = 7:12", "answer": "7:12", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000714"}
154
- {"problem": "Simplify the ratio 14:7.", "solution": "gcd(14, 7) = 7\n14 ÷ 7 = 2\n7 ÷ 7 = 1\n14:7 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000717"}
155
- {"problem": "Simplify the ratio 26:38.", "solution": "gcd(26, 38) = 2\n26 ÷ 2 = 13\n38 ÷ 2 = 19\n26:38 = 13:19", "answer": "13:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000727"}
156
- {"problem": "Simplify the ratio 2:16.", "solution": "gcd(2, 16) = 2\n2 ÷ 2 = 1\n16 ÷ 2 = 8\n2:16 = 1:8", "answer": "1:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000729"}
157
- {"problem": "Simplify the ratio 20:5.", "solution": "gcd(20, 5) = 5\n20 ÷ 5 = 4\n5 ÷ 5 = 1\n20:5 = 4:1", "answer": "4:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000734"}
158
- {"problem": "Simplify the ratio 8:10.", "solution": "gcd(8, 10) = 2\n8 ÷ 2 = 4\n10 ÷ 2 = 5\n8:10 = 4:5", "answer": "4:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000739"}
159
- {"problem": "Simplify the ratio 18:16.", "solution": "gcd(18, 16) = 2\n18 ÷ 2 = 9\n16 ÷ 2 = 8\n18:16 = 9:8", "answer": "9:8", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000740"}
160
- {"problem": "Simplify the ratio 10:26.", "solution": "gcd(10, 26) = 2\n10 ÷ 2 = 5\n26 ÷ 2 = 13\n10:26 = 5:13", "answer": "5:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000743"}
161
- {"problem": "Simplify the ratio 4:6.", "solution": "gcd(4, 6) = 2\n4 ÷ 2 = 2\n6 ÷ 2 = 3\n4:6 = 2:3", "answer": "2:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000756"}
162
- {"problem": "Simplify the ratio 22:38.", "solution": "gcd(22, 38) = 2\n22 ÷ 2 = 11\n38 ÷ 2 = 19\n22:38 = 11:19", "answer": "11:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000757"}
163
- {"problem": "Simplify the ratio 13:13.", "solution": "gcd(13, 13) = 13\n13 ÷ 13 = 1\n13 ÷ 13 = 1\n13:13 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000760"}
164
- {"problem": "Simplify the ratio 10:28.", "solution": "gcd(10, 28) = 2\n10 ÷ 2 = 5\n28 ÷ 2 = 14\n10:28 = 5:14", "answer": "5:14", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000765"}
165
- {"problem": "Simplify the ratio 12:38.", "solution": "gcd(12, 38) = 2\n12 ÷ 2 = 6\n38 ÷ 2 = 19\n12:38 = 6:19", "answer": "6:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000768"}
166
- {"problem": "Simplify the ratio 32:30.", "solution": "gcd(32, 30) = 2\n32 ÷ 2 = 16\n30 ÷ 2 = 15\n32:30 = 16:15", "answer": "16:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000772"}
167
- {"problem": "Simplify the ratio 34:38.", "solution": "gcd(34, 38) = 2\n34 ÷ 2 = 17\n38 ÷ 2 = 19\n34:38 = 17:19", "answer": "17:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000785"}
168
- {"problem": "Simplify the ratio 16:6.", "solution": "gcd(16, 6) = 2\n16 ÷ 2 = 8\n6 ÷ 2 = 3\n16:6 = 8:3", "answer": "8:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000790"}
169
- {"problem": "Simplify the ratio 5:5.", "solution": "gcd(5, 5) = 5\n5 ÷ 5 = 1\n5 ÷ 5 = 1\n5:5 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000807"}
170
- {"problem": "Simplify the ratio 24:10.", "solution": "gcd(24, 10) = 2\n24 ÷ 2 = 12\n10 ÷ 2 = 5\n24:10 = 12:5", "answer": "12:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000812"}
171
- {"problem": "Simplify the ratio 38:18.", "solution": "gcd(38, 18) = 2\n38 ÷ 2 = 19\n18 ÷ 2 = 9\n38:18 = 19:9", "answer": "19:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000826"}
172
- {"problem": "Simplify the ratio 22:18.", "solution": "gcd(22, 18) = 2\n22 ÷ 2 = 11\n18 ÷ 2 = 9\n22:18 = 11:9", "answer": "11:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000827"}
173
- {"problem": "Simplify the ratio 22:8.", "solution": "gcd(22, 8) = 2\n22 ÷ 2 = 11\n8 ÷ 2 = 4\n22:8 = 11:4", "answer": "11:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000828"}
174
- {"problem": "Simplify the ratio 22:40.", "solution": "gcd(22, 40) = 2\n22 ÷ 2 = 11\n40 ÷ 2 = 20\n22:40 = 11:20", "answer": "11:20", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000851"}
175
- {"problem": "Simplify the ratio 10:15.", "solution": "gcd(10, 15) = 5\n10 ÷ 5 = 2\n15 ÷ 5 = 3\n10:15 = 2:3", "answer": "2:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000859"}
176
- {"problem": "Simplify the ratio 9:12.", "solution": "gcd(9, 12) = 3\n9 ÷ 3 = 3\n12 ÷ 3 = 4\n9:12 = 3:4", "answer": "3:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000867"}
177
- {"problem": "Simplify the ratio 10:10.", "solution": "gcd(10, 10) = 10\n10 ÷ 10 = 1\n10 ÷ 10 = 1\n10:10 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000870"}
178
- {"problem": "Simplify the ratio 3:9.", "solution": "gcd(3, 9) = 3\n3 ÷ 3 = 1\n9 ÷ 3 = 3\n3:9 = 1:3", "answer": "1:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000877"}
179
- {"problem": "Simplify the ratio 12:16.", "solution": "gcd(12, 16) = 4\n12 ÷ 4 = 3\n16 ÷ 4 = 4\n12:16 = 3:4", "answer": "3:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000879"}
180
- {"problem": "Simplify the ratio 16:10.", "solution": "gcd(16, 10) = 2\n16 ÷ 2 = 8\n10 ÷ 2 = 5\n16:10 = 8:5", "answer": "8:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000899"}
181
- {"problem": "Simplify the ratio 12:20.", "solution": "gcd(12, 20) = 4\n12 ÷ 4 = 3\n20 ÷ 4 = 5\n12:20 = 3:5", "answer": "3:5", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000906"}
182
- {"problem": "Simplify the ratio 20:12.", "solution": "gcd(20, 12) = 4\n20 ÷ 4 = 5\n12 ÷ 4 = 3\n20:12 = 5:3", "answer": "5:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000907"}
183
- {"problem": "Simplify the ratio 15:10.", "solution": "gcd(15, 10) = 5\n15 ÷ 5 = 3\n10 ÷ 5 = 2\n15:10 = 3:2", "answer": "3:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000908"}
184
- {"problem": "Simplify the ratio 28:18.", "solution": "gcd(28, 18) = 2\n28 ÷ 2 = 14\n18 ÷ 2 = 9\n28:18 = 14:9", "answer": "14:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000914"}
185
- {"problem": "Simplify the ratio 30:22.", "solution": "gcd(30, 22) = 2\n30 ÷ 2 = 15\n22 ÷ 2 = 11\n30:22 = 15:11", "answer": "15:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000917"}
186
- {"problem": "Simplify the ratio 38:8.", "solution": "gcd(38, 8) = 2\n38 ÷ 2 = 19\n8 ÷ 2 = 4\n38:8 = 19:4", "answer": "19:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000918"}
187
- {"problem": "Simplify the ratio 20:6.", "solution": "gcd(20, 6) = 2\n20 ÷ 2 = 10\n6 ÷ 2 = 3\n20:6 = 10:3", "answer": "10:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000938"}
188
- {"problem": "Simplify the ratio 34:4.", "solution": "gcd(34, 4) = 2\n34 ÷ 2 = 17\n4 ÷ 2 = 2\n34:4 = 17:2", "answer": "17:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000941"}
189
- {"problem": "Simplify the ratio 30:38.", "solution": "gcd(30, 38) = 2\n30 ÷ 2 = 15\n38 ÷ 2 = 19\n30:38 = 15:19", "answer": "15:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000945"}
190
- {"problem": "Simplify the ratio 12:4.", "solution": "gcd(12, 4) = 4\n12 ÷ 4 = 3\n4 ÷ 4 = 1\n12:4 = 3:1", "answer": "3:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000947"}
191
- {"problem": "Simplify the ratio 18:14.", "solution": "gcd(18, 14) = 2\n18 ÷ 2 = 9\n14 ÷ 2 = 7\n18:14 = 9:7", "answer": "9:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000960"}
192
- {"problem": "Simplify the ratio 26:4.", "solution": "gcd(26, 4) = 2\n26 ÷ 2 = 13\n4 ÷ 2 = 2\n26:4 = 13:2", "answer": "13:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000971"}
193
- {"problem": "Simplify the ratio 14:30.", "solution": "gcd(14, 30) = 2\n14 ÷ 2 = 7\n30 ÷ 2 = 15\n14:30 = 7:15", "answer": "7:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000978"}
194
- {"problem": "Simplify the ratio 14:26.", "solution": "gcd(14, 26) = 2\n14 ÷ 2 = 7\n26 ÷ 2 = 13\n14:26 = 7:13", "answer": "7:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000982"}
195
- {"problem": "Simplify the ratio 18:34.", "solution": "gcd(18, 34) = 2\n18 ÷ 2 = 9\n34 ÷ 2 = 17\n18:34 = 9:17", "answer": "9:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000997"}
196
- {"problem": "Simplify the ratio 20:34.", "solution": "gcd(20, 34) = 2\n20 ÷ 2 = 10\n34 ÷ 2 = 17\n20:34 = 10:17", "answer": "10:17", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000034"}
197
- {"problem": "Simplify the ratio 22:24.", "solution": "gcd(22, 24) = 2\n22 ÷ 2 = 11\n24 ÷ 2 = 12\n22:24 = 11:12", "answer": "11:12", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000079"}
198
- {"problem": "Simplify the ratio 4:30.", "solution": "gcd(4, 30) = 2\n4 ÷ 2 = 2\n30 ÷ 2 = 15\n4:30 = 2:15", "answer": "2:15", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000081"}
199
- {"problem": "Simplify the ratio 38:14.", "solution": "gcd(38, 14) = 2\n38 ÷ 2 = 19\n14 ÷ 2 = 7\n38:14 = 19:7", "answer": "19:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000175"}
200
- {"problem": "Simplify the ratio 6:2.", "solution": "gcd(6, 2) = 2\n6 ÷ 2 = 3\n2 ÷ 2 = 1\n6:2 = 3:1", "answer": "3:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000260"}
201
- {"problem": "Simplify the ratio 12:6.", "solution": "gcd(12, 6) = 6\n12 ÷ 6 = 2\n6 ÷ 6 = 1\n12:6 = 2:1", "answer": "2:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000284"}
202
- {"problem": "Simplify the ratio 8:8.", "solution": "gcd(8, 8) = 8\n8 ÷ 8 = 1\n8 ÷ 8 = 1\n8:8 = 1:1", "answer": "1:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000398"}
203
- {"problem": "Simplify the ratio 18:26.", "solution": "gcd(18, 26) = 2\n18 ÷ 2 = 9\n26 ÷ 2 = 13\n18:26 = 9:13", "answer": "9:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000440"}
204
- {"problem": "Simplify the ratio 22:26.", "solution": "gcd(22, 26) = 2\n22 ÷ 2 = 11\n26 ÷ 2 = 13\n22:26 = 11:13", "answer": "11:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000489"}
205
- {"problem": "Simplify the ratio 2:4.", "solution": "gcd(2, 4) = 2\n2 ÷ 2 = 1\n4 ÷ 2 = 2\n2:4 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000498"}
206
- {"problem": "Simplify the ratio 12:26.", "solution": "gcd(12, 26) = 2\n12 ÷ 2 = 6\n26 ÷ 2 = 13\n12:26 = 6:13", "answer": "6:13", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000565"}
207
- {"problem": "Simplify the ratio 18:2.", "solution": "gcd(18, 2) = 2\n18 ÷ 2 = 9\n2 ÷ 2 = 1\n18:2 = 9:1", "answer": "9:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000709"}
208
- {"problem": "Simplify the ratio 26:32.", "solution": "gcd(26, 32) = 2\n26 ÷ 2 = 13\n32 ÷ 2 = 16\n26:32 = 13:16", "answer": "13:16", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000820"}
209
- {"problem": "Simplify the ratio 34:6.", "solution": "gcd(34, 6) = 2\n34 ÷ 2 = 17\n6 ÷ 2 = 3\n34:6 = 17:3", "answer": "17:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000834"}
210
- {"problem": "Simplify the ratio 34:36.", "solution": "gcd(34, 36) = 2\n34 ÷ 2 = 17\n36 ÷ 2 = 18\n34:36 = 17:18", "answer": "17:18", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000895"}
211
- {"problem": "Simplify the ratio 2:14.", "solution": "gcd(2, 14) = 2\n2 ÷ 2 = 1\n14 ÷ 2 = 7\n2:14 = 1:7", "answer": "1:7", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000930"}
212
- {"problem": "Simplify the ratio 12:2.", "solution": "gcd(12, 2) = 2\n12 ÷ 2 = 6\n2 ÷ 2 = 1\n12:2 = 6:1", "answer": "6:1", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_000976"}
213
- {"problem": "Simplify the ratio 40:18.", "solution": "gcd(40, 18) = 2\n40 ÷ 2 = 20\n18 ÷ 2 = 9\n40:18 = 20:9", "answer": "20:9", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001077"}
214
- {"problem": "Simplify the ratio 18:38.", "solution": "gcd(18, 38) = 2\n18 ÷ 2 = 9\n38 ÷ 2 = 19\n18:38 = 9:19", "answer": "9:19", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001115"}
215
- {"problem": "Simplify the ratio 18:40.", "solution": "gcd(18, 40) = 2\n18 ÷ 2 = 9\n40 ÷ 2 = 20\n18:40 = 9:20", "answer": "9:20", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001166"}
216
- {"problem": "Simplify the ratio 10:20.", "solution": "gcd(10, 20) = 10\n10 ÷ 10 = 1\n20 ÷ 10 = 2\n10:20 = 1:2", "answer": "1:2", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001215"}
217
- {"problem": "Simplify the ratio 20:16.", "solution": "gcd(20, 16) = 4\n20 ÷ 4 = 5\n16 ÷ 4 = 4\n20:16 = 5:4", "answer": "5:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001297"}
218
- {"problem": "Simplify the ratio 3:12.", "solution": "gcd(3, 12) = 3\n3 ÷ 3 = 1\n12 ÷ 3 = 4\n3:12 = 1:4", "answer": "1:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001406"}
219
- {"problem": "Simplify the ratio 15:20.", "solution": "gcd(15, 20) = 5\n15 ÷ 5 = 3\n20 ÷ 5 = 4\n15:20 = 3:4", "answer": "3:4", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001449"}
220
- {"problem": "Simplify the ratio 34:28.", "solution": "gcd(34, 28) = 2\n34 ÷ 2 = 17\n28 ÷ 2 = 14\n34:28 = 17:14", "answer": "17:14", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001688"}
221
- {"problem": "Simplify the ratio 38:22.", "solution": "gcd(38, 22) = 2\n38 ÷ 2 = 19\n22 ÷ 2 = 11\n38:22 = 19:11", "answer": "19:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001778"}
222
- {"problem": "Simplify the ratio 32:22.", "solution": "gcd(32, 22) = 2\n32 ÷ 2 = 16\n22 ÷ 2 = 11\n32:22 = 16:11", "answer": "16:11", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001823"}
223
- {"problem": "Simplify the ratio 32:6.", "solution": "gcd(32, 6) = 2\n32 ÷ 2 = 16\n6 ÷ 2 = 3\n32:6 = 16:3", "answer": "16:3", "topic": "arithmetic.ratios", "difficulty": "easy", "education_level": "middle_school", "language": "en", "source": "synthetic", "verification_status": "verified", "id": "omd_001948"}