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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"g": "d + 18", "x": "g + 7", "o": "x + 2", "v": "o + 15", "q": "v + 19", "e": "q + 14", "f": "d + 20", "w": "f + 1", "h": "w + 10", "l": "h + 3", "b": "l + 13", "p": "b + 7", "d": 13}, "premises": {"d": 13}, "target": "e"}, "answer": {"steps": [["q", "v + 19", "v + 33"], ["v", "o + 15", "o + 48"], ["o", "x + 2", "x + 50"], ["x", "g + 7", "g + 57"], ["g", "d + 18", "d + 75"], ["d", 13, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"d": 13}, "is_reverse": true}}
| 2,400
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = v + 19; l = h + 3; v = o + 15; f = d + 20; g = d + 18; b = l + 13; x = g + 7; p = b + 7; h = w + 10; w = f + 1; o = x + 2; d = 13; e = q + 14. If d = 13, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 19 to e, which gives e = v + 33.\n2. Substitute v = o + 15 to e, which gives e = o + 48.\n3. Substitute o = x + 2 to e, which gives e = x + 50.\n4. Substitute x = g + 7 to e, which gives e = g + 57.\n5. Substitute g = d + 18 to e, which gives e = d + 75.\n6. Substitute d = 13 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 2400,
"question": "Consider a system of variables where each variable is defined as follows: q = v + 19; l = h + 3; v = o + 15; f = d + 20; g = d + 18; b = l + 13; x = g + 7; p = b + 7; h = w + 10; w = f + 1; o = x + 2; d = 13; e = q + 14. If d = 13, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 3", "g": "l + 5", "f": "g + 15", "t": "f + 4", "y": "t + 5", "r": "y + 9", "p": "i + 15", "e": "p + 15", "k": "e + 9", "x": "k + 4", "z": "x + 3", "v": "z + 3", "i": 18}, "premises": {"i": 18}, "target": "r"}, "answer": {"steps": [["y", "t + 5", "t + 14"], ["t", "f + 4", "f + 18"], ["f", "g + 15", "g + 33"], ["g", "l + 5", "l + 38"], ["l", "i + 3", "i + 41"], ["i", 18, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"i": 18}, "is_reverse": true}}
| 2,401
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 18; v = z + 3; l = i + 3; r = y + 9; g = l + 5; t = f + 4; e = p + 15; y = t + 5; k = e + 9; f = g + 15; p = i + 15; z = x + 3; x = k + 4. If i = 18, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 5 to r, which gives r = t + 14.\n2. Substitute t = f + 4 to r, which gives r = f + 18.\n3. Substitute f = g + 15 to r, which gives r = g + 33.\n4. Substitute g = l + 5 to r, which gives r = l + 38.\n5. Substitute l = i + 3 to r, which gives r = i + 41.\n6. Substitute i = 18 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 2401,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 18; v = z + 3; l = i + 3; r = y + 9; g = l + 5; t = f + 4; e = p + 15; y = t + 5; k = e + 9; f = g + 15; p = i + 15; z = x + 3; x = k + 4. If i = 18, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 3", "c": "d + 19", "b": "c + 7", "w": "b + 7", "l": "w + 11", "r": "l + 1", "s": "m + 17", "p": "s + 1", "v": "p + 20", "n": "v + 13", "f": "n + 9", "i": "f + 5", "m": 14}, "premises": {"m": 14}, "target": "r"}, "answer": {"steps": [["l", "w + 11", "w + 12"], ["w", "b + 7", "b + 19"], ["b", "c + 7", "c + 26"], ["c", "d + 19", "d + 45"], ["d", "m + 3", "m + 48"], ["m", 14, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"m": 14}, "is_reverse": true}}
| 2,402
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 5; f = n + 9; s = m + 17; v = p + 20; r = l + 1; m = 14; c = d + 19; d = m + 3; n = v + 13; b = c + 7; l = w + 11; w = b + 7; p = s + 1. Given that m = 14, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 11 to r, which gives r = w + 12.\n2. Substitute w = b + 7 to r, which gives r = b + 19.\n3. Substitute b = c + 7 to r, which gives r = c + 26.\n4. Substitute c = d + 19 to r, which gives r = d + 45.\n5. Substitute d = m + 3 to r, which gives r = m + 48.\n6. Substitute m = 14 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 2402,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 5; f = n + 9; s = m + 17; v = p + 20; r = l + 1; m = 14; c = d + 19; d = m + 3; n = v + 13; b = c + 7; l = w + 11; w = b + 7; p = s + 1. Given that m = 14, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "v + 1", "w": "r + 20", "g": "w + 13", "y": "g + 15", "m": "y + 7", "b": "m + 10", "f": "v + 4", "x": "f + 3", "i": "x + 14", "z": "i + 10", "e": "z + 12", "s": "e + 20", "v": 8}, "premises": {"v": 8}, "target": "b"}, "answer": {"steps": [["m", "y + 7", "y + 17"], ["y", "g + 15", "g + 32"], ["g", "w + 13", "w + 45"], ["w", "r + 20", "r + 65"], ["r", "v + 1", "v + 66"], ["v", 8, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"v": 8}, "is_reverse": true}}
| 2,403
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 20; b = m + 10; r = v + 1; w = r + 20; i = x + 14; z = i + 10; y = g + 15; x = f + 3; m = y + 7; e = z + 12; f = v + 4; v = 8; g = w + 13. If v = 8, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 7 to b, which gives b = y + 17.\n2. Substitute y = g + 15 to b, which gives b = g + 32.\n3. Substitute g = w + 13 to b, which gives b = w + 45.\n4. Substitute w = r + 20 to b, which gives b = r + 65.\n5. Substitute r = v + 1 to b, which gives b = v + 66.\n6. Substitute v = 8 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 2403,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 20; b = m + 10; r = v + 1; w = r + 20; i = x + 14; z = i + 10; y = g + 15; x = f + 3; m = y + 7; e = z + 12; f = v + 4; v = 8; g = w + 13. If v = 8, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"k": "y + 6", "h": "k + 7", "z": "h + 19", "c": "z + 5", "e": "c + 5", "t": "e + 15", "i": "y + 20", "v": "i + 20", "l": "v + 13", "f": "l + 11", "m": "f + 2", "n": "m + 13", "y": 16}, "premises": {"y": 16}, "target": "t"}, "answer": {"steps": [["e", "c + 5", "c + 20"], ["c", "z + 5", "z + 25"], ["z", "h + 19", "h + 44"], ["h", "k + 7", "k + 51"], ["k", "y + 6", "y + 57"], ["y", 16, "73"]], "target_var_name": "t", "target_value": 73, "value_dict": {"y": 16}, "is_reverse": true}}
| 2,404
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 15; e = c + 5; n = m + 13; y = 16; i = y + 20; z = h + 19; v = i + 20; l = v + 13; c = z + 5; f = l + 11; m = f + 2; k = y + 6; h = k + 7. If y = 16, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 5 to t, which gives t = c + 20.\n2. Substitute c = z + 5 to t, which gives t = z + 25.\n3. Substitute z = h + 19 to t, which gives t = h + 44.\n4. Substitute h = k + 7 to t, which gives t = k + 51.\n5. Substitute k = y + 6 to t, which gives t = y + 57.\n6. Substitute y = 16 to t, which gives t = 73.\n\nThus, the final answer is t = \\boxed{73}.",
"index": 2404,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 15; e = c + 5; n = m + 13; y = 16; i = y + 20; z = h + 19; v = i + 20; l = v + 13; c = z + 5; f = l + 11; m = f + 2; k = y + 6; h = k + 7. If y = 16, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 4", "f": "z + 7", "m": "f + 3", "k": "m + 18", "t": "k + 4", "o": "t + 17", "h": "e + 16", "b": "h + 18", "v": "b + 15", "g": "v + 1", "x": "g + 9", "l": "x + 14", "e": 3}, "premises": {"e": 3}, "target": "o"}, "answer": {"steps": [["t", "k + 4", "k + 21"], ["k", "m + 18", "m + 39"], ["m", "f + 3", "f + 42"], ["f", "z + 7", "z + 49"], ["z", "e + 4", "e + 53"], ["e", 3, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"e": 3}, "is_reverse": true}}
| 2,405
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 3; b = h + 18; g = v + 1; t = k + 4; k = m + 18; v = b + 15; l = x + 14; o = t + 17; z = e + 4; x = g + 9; e = 3; f = z + 7; h = e + 16. If e = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to o, which gives o = k + 21.\n2. Substitute k = m + 18 to o, which gives o = m + 39.\n3. Substitute m = f + 3 to o, which gives o = f + 42.\n4. Substitute f = z + 7 to o, which gives o = z + 49.\n5. Substitute z = e + 4 to o, which gives o = e + 53.\n6. Substitute e = 3 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 2405,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 3; b = h + 18; g = v + 1; t = k + 4; k = m + 18; v = b + 15; l = x + 14; o = t + 17; z = e + 4; x = g + 9; e = 3; f = z + 7; h = e + 16. If e = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"e": "d + 4", "i": "e + 18", "v": "i + 7", "s": "v + 19", "u": "s + 17", "r": "u + 18", "g": "d + 13", "o": "g + 19", "l": "o + 15", "c": "l + 14", "f": "c + 3", "y": "f + 20", "d": 12}, "premises": {"d": 12}, "target": "r"}, "answer": {"steps": [["u", "s + 17", "s + 35"], ["s", "v + 19", "v + 54"], ["v", "i + 7", "i + 61"], ["i", "e + 18", "e + 79"], ["e", "d + 4", "d + 83"], ["d", 12, "95"]], "target_var_name": "r", "target_value": 95, "value_dict": {"d": 12}, "is_reverse": true}}
| 2,406
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 17; c = l + 14; e = d + 4; s = v + 19; o = g + 19; l = o + 15; i = e + 18; g = d + 13; r = u + 18; f = c + 3; v = i + 7; y = f + 20; d = 12. If d = 12, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 17 to r, which gives r = s + 35.\n2. Substitute s = v + 19 to r, which gives r = v + 54.\n3. Substitute v = i + 7 to r, which gives r = i + 61.\n4. Substitute i = e + 18 to r, which gives r = e + 79.\n5. Substitute e = d + 4 to r, which gives r = d + 83.\n6. Substitute d = 12 to r, which gives r = 95.\n\nThus, the final answer is r = \\boxed{95}.",
"index": 2406,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 17; c = l + 14; e = d + 4; s = v + 19; o = g + 19; l = o + 15; i = e + 18; g = d + 13; r = u + 18; f = c + 3; v = i + 7; y = f + 20; d = 12. If d = 12, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 4", "z": "c + 7", "y": "z + 19", "o": "y + 18", "a": "o + 3", "i": "a + 7", "v": "r + 4", "q": "v + 19", "x": "q + 18", "n": "x + 6", "u": "n + 18", "b": "u + 11", "r": 11}, "premises": {"r": 11}, "target": "i"}, "answer": {"steps": [["a", "o + 3", "o + 10"], ["o", "y + 18", "y + 28"], ["y", "z + 19", "z + 47"], ["z", "c + 7", "c + 54"], ["c", "r + 4", "r + 58"], ["r", 11, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"r": 11}, "is_reverse": true}}
| 2,407
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 4; y = z + 19; i = a + 7; q = v + 19; a = o + 3; r = 11; o = y + 18; v = r + 4; n = x + 6; u = n + 18; b = u + 11; x = q + 18; z = c + 7. If r = 11, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 3 to i, which gives i = o + 10.\n2. Substitute o = y + 18 to i, which gives i = y + 28.\n3. Substitute y = z + 19 to i, which gives i = z + 47.\n4. Substitute z = c + 7 to i, which gives i = c + 54.\n5. Substitute c = r + 4 to i, which gives i = r + 58.\n6. Substitute r = 11 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 2407,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 4; y = z + 19; i = a + 7; q = v + 19; a = o + 3; r = 11; o = y + 18; v = r + 4; n = x + 6; u = n + 18; b = u + 11; x = q + 18; z = c + 7. If r = 11, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 13", "r": "p + 17", "z": "r + 10", "o": "z + 11", "b": "o + 4", "l": "b + 8", "c": "q + 12", "n": "c + 15", "a": "n + 11", "e": "a + 8", "d": "e + 6", "f": "d + 15", "q": 13}, "premises": {"q": 13}, "target": "l"}, "answer": {"steps": [["b", "o + 4", "o + 12"], ["o", "z + 11", "z + 23"], ["z", "r + 10", "r + 33"], ["r", "p + 17", "p + 50"], ["p", "q + 13", "q + 63"], ["q", 13, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"q": 13}, "is_reverse": true}}
| 2,408
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = o + 4; z = r + 10; l = b + 8; n = c + 15; e = a + 8; p = q + 13; d = e + 6; o = z + 11; q = 13; c = q + 12; f = d + 15; a = n + 11; r = p + 17. If q = 13, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 4 to l, which gives l = o + 12.\n2. Substitute o = z + 11 to l, which gives l = z + 23.\n3. Substitute z = r + 10 to l, which gives l = r + 33.\n4. Substitute r = p + 17 to l, which gives l = p + 50.\n5. Substitute p = q + 13 to l, which gives l = q + 63.\n6. Substitute q = 13 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 2408,
"question": "Consider a system of variables where each variable is defined as follows: b = o + 4; z = r + 10; l = b + 8; n = c + 15; e = a + 8; p = q + 13; d = e + 6; o = z + 11; q = 13; c = q + 12; f = d + 15; a = n + 11; r = p + 17. If q = 13, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "t + 3", "h": "c + 19", "w": "h + 2", "e": "w + 8", "d": "e + 16", "x": "d + 15", "q": "t + 18", "z": "q + 4", "y": "z + 6", "a": "y + 20", "o": "a + 12", "b": "o + 5", "t": 14}, "premises": {"t": 14}, "target": "x"}, "answer": {"steps": [["d", "e + 16", "e + 31"], ["e", "w + 8", "w + 39"], ["w", "h + 2", "h + 41"], ["h", "c + 19", "c + 60"], ["c", "t + 3", "t + 63"], ["t", 14, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"t": 14}, "is_reverse": true}}
| 2,409
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 4; c = t + 3; q = t + 18; t = 14; b = o + 5; e = w + 8; h = c + 19; x = d + 15; o = a + 12; a = y + 20; y = z + 6; w = h + 2; d = e + 16. If t = 14, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 16 to x, which gives x = e + 31.\n2. Substitute e = w + 8 to x, which gives x = w + 39.\n3. Substitute w = h + 2 to x, which gives x = h + 41.\n4. Substitute h = c + 19 to x, which gives x = c + 60.\n5. Substitute c = t + 3 to x, which gives x = t + 63.\n6. Substitute t = 14 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 2409,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 4; c = t + 3; q = t + 18; t = 14; b = o + 5; e = w + 8; h = c + 19; x = d + 15; o = a + 12; a = y + 20; y = z + 6; w = h + 2; d = e + 16. If t = 14, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 7", "l": "i + 15", "o": "l + 19", "q": "o + 2", "g": "q + 16", "x": "g + 7", "u": "w + 5", "z": "u + 16", "b": "z + 11", "v": "b + 7", "f": "v + 2", "s": "f + 20", "w": 18}, "premises": {"w": 18}, "target": "x"}, "answer": {"steps": [["g", "q + 16", "q + 23"], ["q", "o + 2", "o + 25"], ["o", "l + 19", "l + 44"], ["l", "i + 15", "i + 59"], ["i", "w + 7", "w + 66"], ["w", 18, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"w": 18}, "is_reverse": true}}
| 2,410
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 19; q = o + 2; s = f + 20; u = w + 5; w = 18; f = v + 2; z = u + 16; l = i + 15; g = q + 16; i = w + 7; x = g + 7; b = z + 11; v = b + 7. Given that w = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 16 to x, which gives x = q + 23.\n2. Substitute q = o + 2 to x, which gives x = o + 25.\n3. Substitute o = l + 19 to x, which gives x = l + 44.\n4. Substitute l = i + 15 to x, which gives x = i + 59.\n5. Substitute i = w + 7 to x, which gives x = w + 66.\n6. Substitute w = 18 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 2410,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 19; q = o + 2; s = f + 20; u = w + 5; w = 18; f = v + 2; z = u + 16; l = i + 15; g = q + 16; i = w + 7; x = g + 7; b = z + 11; v = b + 7. Given that w = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 15", "h": "k + 1", "y": "h + 2", "r": "y + 18", "q": "r + 16", "g": "q + 1", "u": "v + 11", "n": "u + 9", "s": "n + 4", "x": "s + 16", "t": "x + 3", "p": "t + 3", "v": 9}, "premises": {"v": 9}, "target": "g"}, "answer": {"steps": [["q", "r + 16", "r + 17"], ["r", "y + 18", "y + 35"], ["y", "h + 2", "h + 37"], ["h", "k + 1", "k + 38"], ["k", "v + 15", "v + 53"], ["v", 9, "62"]], "target_var_name": "g", "target_value": 62, "value_dict": {"v": 9}, "is_reverse": true}}
| 2,411
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = s + 16; s = n + 4; n = u + 9; q = r + 16; t = x + 3; p = t + 3; r = y + 18; k = v + 15; v = 9; g = q + 1; h = k + 1; u = v + 11; y = h + 2. Given that v = 9, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = r + 16 to g, which gives g = r + 17.\n2. Substitute r = y + 18 to g, which gives g = y + 35.\n3. Substitute y = h + 2 to g, which gives g = h + 37.\n4. Substitute h = k + 1 to g, which gives g = k + 38.\n5. Substitute k = v + 15 to g, which gives g = v + 53.\n6. Substitute v = 9 to g, which gives g = 62.\n\nThus, the final answer is g = \\boxed{62}.",
"index": 2411,
"question": "Suppose a collection of variables is related by the following definitions: x = s + 16; s = n + 4; n = u + 9; q = r + 16; t = x + 3; p = t + 3; r = y + 18; k = v + 15; v = 9; g = q + 1; h = k + 1; u = v + 11; y = h + 2. Given that v = 9, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "c + 5", "a": "r + 16", "q": "a + 3", "s": "q + 3", "n": "s + 12", "z": "n + 17", "d": "c + 2", "u": "d + 12", "b": "u + 15", "k": "b + 6", "v": "k + 11", "h": "v + 10", "c": 3}, "premises": {"c": 3}, "target": "z"}, "answer": {"steps": [["n", "s + 12", "s + 29"], ["s", "q + 3", "q + 32"], ["q", "a + 3", "a + 35"], ["a", "r + 16", "r + 51"], ["r", "c + 5", "c + 56"], ["c", 3, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"c": 3}, "is_reverse": true}}
| 2,412
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 3; a = r + 16; h = v + 10; r = c + 5; z = n + 17; n = s + 12; v = k + 11; c = 3; b = u + 15; u = d + 12; d = c + 2; k = b + 6; s = q + 3. If c = 3, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 12 to z, which gives z = s + 29.\n2. Substitute s = q + 3 to z, which gives z = q + 32.\n3. Substitute q = a + 3 to z, which gives z = a + 35.\n4. Substitute a = r + 16 to z, which gives z = r + 51.\n5. Substitute r = c + 5 to z, which gives z = c + 56.\n6. Substitute c = 3 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 2412,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 3; a = r + 16; h = v + 10; r = c + 5; z = n + 17; n = s + 12; v = k + 11; c = 3; b = u + 15; u = d + 12; d = c + 2; k = b + 6; s = q + 3. If c = 3, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "o + 8", "q": "y + 13", "f": "q + 9", "g": "f + 13", "c": "g + 1", "k": "c + 10", "w": "o + 16", "l": "w + 15", "d": "l + 13", "r": "d + 2", "h": "r + 2", "x": "h + 14", "o": 18}, "premises": {"o": 18}, "target": "k"}, "answer": {"steps": [["c", "g + 1", "g + 11"], ["g", "f + 13", "f + 24"], ["f", "q + 9", "q + 33"], ["q", "y + 13", "y + 46"], ["y", "o + 8", "o + 54"], ["o", 18, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"o": 18}, "is_reverse": true}}
| 2,413
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 15; c = g + 1; d = l + 13; y = o + 8; k = c + 10; w = o + 16; h = r + 2; o = 18; g = f + 13; q = y + 13; x = h + 14; f = q + 9; r = d + 2. If o = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 1 to k, which gives k = g + 11.\n2. Substitute g = f + 13 to k, which gives k = f + 24.\n3. Substitute f = q + 9 to k, which gives k = q + 33.\n4. Substitute q = y + 13 to k, which gives k = y + 46.\n5. Substitute y = o + 8 to k, which gives k = o + 54.\n6. Substitute o = 18 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 2413,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = w + 15; c = g + 1; d = l + 13; y = o + 8; k = c + 10; w = o + 16; h = r + 2; o = 18; g = f + 13; q = y + 13; x = h + 14; f = q + 9; r = d + 2. If o = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 13", "g": "c + 17", "t": "g + 19", "p": "t + 2", "x": "p + 12", "h": "x + 17", "i": "u + 15", "e": "i + 4", "b": "e + 7", "f": "b + 2", "s": "f + 6", "w": "s + 11", "u": 6}, "premises": {"u": 6}, "target": "h"}, "answer": {"steps": [["x", "p + 12", "p + 29"], ["p", "t + 2", "t + 31"], ["t", "g + 19", "g + 50"], ["g", "c + 17", "c + 67"], ["c", "u + 13", "u + 80"], ["u", 6, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"u": 6}, "is_reverse": true}}
| 2,414
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 6; e = i + 4; g = c + 17; p = t + 2; b = e + 7; u = 6; f = b + 2; w = s + 11; i = u + 15; x = p + 12; h = x + 17; c = u + 13; t = g + 19. If u = 6, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 12 to h, which gives h = p + 29.\n2. Substitute p = t + 2 to h, which gives h = t + 31.\n3. Substitute t = g + 19 to h, which gives h = g + 50.\n4. Substitute g = c + 17 to h, which gives h = c + 67.\n5. Substitute c = u + 13 to h, which gives h = u + 80.\n6. Substitute u = 6 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 2414,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 6; e = i + 4; g = c + 17; p = t + 2; b = e + 7; u = 6; f = b + 2; w = s + 11; i = u + 15; x = p + 12; h = x + 17; c = u + 13; t = g + 19. If u = 6, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 20", "k": "v + 4", "i": "k + 7", "e": "i + 8", "o": "e + 1", "p": "o + 11", "u": "f + 15", "b": "u + 12", "m": "b + 6", "w": "m + 3", "h": "w + 12", "j": "h + 1", "f": 14}, "premises": {"f": 14}, "target": "p"}, "answer": {"steps": [["o", "e + 1", "e + 12"], ["e", "i + 8", "i + 20"], ["i", "k + 7", "k + 27"], ["k", "v + 4", "v + 31"], ["v", "f + 20", "f + 51"], ["f", 14, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"f": 14}, "is_reverse": true}}
| 2,415
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 3; j = h + 1; i = k + 7; u = f + 15; m = b + 6; p = o + 11; v = f + 20; f = 14; k = v + 4; b = u + 12; h = w + 12; o = e + 1; e = i + 8. Given that f = 14, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 1 to p, which gives p = e + 12.\n2. Substitute e = i + 8 to p, which gives p = i + 20.\n3. Substitute i = k + 7 to p, which gives p = k + 27.\n4. Substitute k = v + 4 to p, which gives p = v + 31.\n5. Substitute v = f + 20 to p, which gives p = f + 51.\n6. Substitute f = 14 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 2415,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 3; j = h + 1; i = k + 7; u = f + 15; m = b + 6; p = o + 11; v = f + 20; f = 14; k = v + 4; b = u + 12; h = w + 12; o = e + 1; e = i + 8. Given that f = 14, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"i": "b + 10", "o": "i + 3", "x": "o + 16", "z": "x + 16", "q": "z + 20", "y": "q + 18", "j": "b + 18", "k": "j + 20", "c": "k + 8", "g": "c + 19", "p": "g + 7", "n": "p + 12", "b": 5}, "premises": {"b": 5}, "target": "y"}, "answer": {"steps": [["q", "z + 20", "z + 38"], ["z", "x + 16", "x + 54"], ["x", "o + 16", "o + 70"], ["o", "i + 3", "i + 73"], ["i", "b + 10", "b + 83"], ["b", 5, "88"]], "target_var_name": "y", "target_value": 88, "value_dict": {"b": 5}, "is_reverse": true}}
| 2,416
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = k + 8; z = x + 16; k = j + 20; b = 5; j = b + 18; x = o + 16; q = z + 20; p = g + 7; o = i + 3; g = c + 19; n = p + 12; i = b + 10; y = q + 18. Given that b = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 20 to y, which gives y = z + 38.\n2. Substitute z = x + 16 to y, which gives y = x + 54.\n3. Substitute x = o + 16 to y, which gives y = o + 70.\n4. Substitute o = i + 3 to y, which gives y = i + 73.\n5. Substitute i = b + 10 to y, which gives y = b + 83.\n6. Substitute b = 5 to y, which gives y = 88.\n\nThus, the final answer is y = \\boxed{88}.",
"index": 2416,
"question": "Suppose a collection of variables is related by the following definitions: c = k + 8; z = x + 16; k = j + 20; b = 5; j = b + 18; x = o + 16; q = z + 20; p = g + 7; o = i + 3; g = c + 19; n = p + 12; i = b + 10; y = q + 18. Given that b = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "d + 16", "e": "n + 10", "t": "e + 15", "a": "t + 9", "x": "a + 7", "h": "x + 8", "y": "d + 16", "w": "y + 15", "o": "w + 16", "s": "o + 20", "f": "s + 15", "j": "f + 16", "d": 7}, "premises": {"d": 7}, "target": "h"}, "answer": {"steps": [["x", "a + 7", "a + 15"], ["a", "t + 9", "t + 24"], ["t", "e + 15", "e + 39"], ["e", "n + 10", "n + 49"], ["n", "d + 16", "d + 65"], ["d", 7, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"d": 7}, "is_reverse": true}}
| 2,417
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = d + 16; d = 7; f = s + 15; o = w + 16; w = y + 15; h = x + 8; x = a + 7; t = e + 15; n = d + 16; j = f + 16; a = t + 9; s = o + 20; e = n + 10. Given that d = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 7 to h, which gives h = a + 15.\n2. Substitute a = t + 9 to h, which gives h = t + 24.\n3. Substitute t = e + 15 to h, which gives h = e + 39.\n4. Substitute e = n + 10 to h, which gives h = n + 49.\n5. Substitute n = d + 16 to h, which gives h = d + 65.\n6. Substitute d = 7 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 2417,
"question": "Suppose a collection of variables is related by the following definitions: y = d + 16; d = 7; f = s + 15; o = w + 16; w = y + 15; h = x + 8; x = a + 7; t = e + 15; n = d + 16; j = f + 16; a = t + 9; s = o + 20; e = n + 10. Given that d = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 9", "v": "d + 4", "o": "v + 17", "t": "o + 8", "w": "t + 3", "y": "w + 15", "k": "g + 1", "z": "k + 12", "c": "z + 11", "e": "c + 5", "f": "e + 1", "i": "f + 5", "g": 2}, "premises": {"g": 2}, "target": "y"}, "answer": {"steps": [["w", "t + 3", "t + 18"], ["t", "o + 8", "o + 26"], ["o", "v + 17", "v + 43"], ["v", "d + 4", "d + 47"], ["d", "g + 9", "g + 56"], ["g", 2, "58"]], "target_var_name": "y", "target_value": 58, "value_dict": {"g": 2}, "is_reverse": true}}
| 2,418
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 9; c = z + 11; i = f + 5; v = d + 4; t = o + 8; y = w + 15; g = 2; z = k + 12; k = g + 1; e = c + 5; o = v + 17; w = t + 3; f = e + 1. Given that g = 2, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 3 to y, which gives y = t + 18.\n2. Substitute t = o + 8 to y, which gives y = o + 26.\n3. Substitute o = v + 17 to y, which gives y = v + 43.\n4. Substitute v = d + 4 to y, which gives y = d + 47.\n5. Substitute d = g + 9 to y, which gives y = g + 56.\n6. Substitute g = 2 to y, which gives y = 58.\n\nThus, the final answer is y = \\boxed{58}.",
"index": 2418,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 9; c = z + 11; i = f + 5; v = d + 4; t = o + 8; y = w + 15; g = 2; z = k + 12; k = g + 1; e = c + 5; o = v + 17; w = t + 3; f = e + 1. Given that g = 2, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 7", "a": "r + 9", "k": "a + 15", "y": "k + 12", "j": "y + 16", "f": "j + 15", "l": "o + 7", "u": "l + 12", "z": "u + 19", "t": "z + 14", "p": "t + 18", "v": "p + 5", "o": 1}, "premises": {"o": 1}, "target": "f"}, "answer": {"steps": [["j", "y + 16", "y + 31"], ["y", "k + 12", "k + 43"], ["k", "a + 15", "a + 58"], ["a", "r + 9", "r + 67"], ["r", "o + 7", "o + 74"], ["o", 1, "75"]], "target_var_name": "f", "target_value": 75, "value_dict": {"o": 1}, "is_reverse": true}}
| 2,419
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = l + 12; y = k + 12; a = r + 9; z = u + 19; f = j + 15; l = o + 7; p = t + 18; t = z + 14; v = p + 5; r = o + 7; j = y + 16; o = 1; k = a + 15. If o = 1, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 16 to f, which gives f = y + 31.\n2. Substitute y = k + 12 to f, which gives f = k + 43.\n3. Substitute k = a + 15 to f, which gives f = a + 58.\n4. Substitute a = r + 9 to f, which gives f = r + 67.\n5. Substitute r = o + 7 to f, which gives f = o + 74.\n6. Substitute o = 1 to f, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 2419,
"question": "Consider a system of variables where each variable is defined as follows: u = l + 12; y = k + 12; a = r + 9; z = u + 19; f = j + 15; l = o + 7; p = t + 18; t = z + 14; v = p + 5; r = o + 7; j = y + 16; o = 1; k = a + 15. If o = 1, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "o + 16", "d": "i + 1", "v": "d + 12", "j": "v + 7", "c": "j + 16", "e": "c + 4", "l": "o + 17", "u": "l + 11", "m": "u + 5", "w": "m + 8", "a": "w + 4", "g": "a + 17", "o": 16}, "premises": {"o": 16}, "target": "e"}, "answer": {"steps": [["c", "j + 16", "j + 20"], ["j", "v + 7", "v + 27"], ["v", "d + 12", "d + 39"], ["d", "i + 1", "i + 40"], ["i", "o + 16", "o + 56"], ["o", 16, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"o": 16}, "is_reverse": true}}
| 2,420
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 11; i = o + 16; m = u + 5; c = j + 16; d = i + 1; l = o + 17; o = 16; v = d + 12; w = m + 8; g = a + 17; e = c + 4; j = v + 7; a = w + 4. If o = 16, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 16 to e, which gives e = j + 20.\n2. Substitute j = v + 7 to e, which gives e = v + 27.\n3. Substitute v = d + 12 to e, which gives e = d + 39.\n4. Substitute d = i + 1 to e, which gives e = i + 40.\n5. Substitute i = o + 16 to e, which gives e = o + 56.\n6. Substitute o = 16 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 2420,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = l + 11; i = o + 16; m = u + 5; c = j + 16; d = i + 1; l = o + 17; o = 16; v = d + 12; w = m + 8; g = a + 17; e = c + 4; j = v + 7; a = w + 4. If o = 16, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 17", "l": "f + 19", "j": "l + 17", "x": "j + 7", "v": "x + 11", "y": "v + 18", "m": "c + 17", "e": "m + 1", "o": "e + 5", "a": "o + 19", "z": "a + 11", "p": "z + 2", "c": 15}, "premises": {"c": 15}, "target": "y"}, "answer": {"steps": [["v", "x + 11", "x + 29"], ["x", "j + 7", "j + 36"], ["j", "l + 17", "l + 53"], ["l", "f + 19", "f + 72"], ["f", "c + 17", "c + 89"], ["c", 15, "104"]], "target_var_name": "y", "target_value": 104, "value_dict": {"c": 15}, "is_reverse": true}}
| 2,421
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 5; j = l + 17; y = v + 18; m = c + 17; f = c + 17; z = a + 11; v = x + 11; x = j + 7; l = f + 19; e = m + 1; a = o + 19; p = z + 2; c = 15. If c = 15, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 11 to y, which gives y = x + 29.\n2. Substitute x = j + 7 to y, which gives y = j + 36.\n3. Substitute j = l + 17 to y, which gives y = l + 53.\n4. Substitute l = f + 19 to y, which gives y = f + 72.\n5. Substitute f = c + 17 to y, which gives y = c + 89.\n6. Substitute c = 15 to y, which gives y = 104.\n\nThus, the final answer is y = \\boxed{104}.",
"index": 2421,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 5; j = l + 17; y = v + 18; m = c + 17; f = c + 17; z = a + 11; v = x + 11; x = j + 7; l = f + 19; e = m + 1; a = o + 19; p = z + 2; c = 15. If c = 15, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 9", "l": "f + 7", "x": "l + 12", "s": "x + 2", "j": "s + 6", "k": "j + 4", "a": "u + 18", "d": "a + 7", "m": "d + 7", "w": "m + 8", "t": "w + 12", "y": "t + 9", "u": 10}, "premises": {"u": 10}, "target": "k"}, "answer": {"steps": [["j", "s + 6", "s + 10"], ["s", "x + 2", "x + 12"], ["x", "l + 12", "l + 24"], ["l", "f + 7", "f + 31"], ["f", "u + 9", "u + 40"], ["u", 10, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"u": 10}, "is_reverse": true}}
| 2,422
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 7; t = w + 12; k = j + 4; m = d + 7; x = l + 12; f = u + 9; j = s + 6; u = 10; s = x + 2; w = m + 8; y = t + 9; d = a + 7; a = u + 18. Given that u = 10, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 6 to k, which gives k = s + 10.\n2. Substitute s = x + 2 to k, which gives k = x + 12.\n3. Substitute x = l + 12 to k, which gives k = l + 24.\n4. Substitute l = f + 7 to k, which gives k = f + 31.\n5. Substitute f = u + 9 to k, which gives k = u + 40.\n6. Substitute u = 10 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 2422,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 7; t = w + 12; k = j + 4; m = d + 7; x = l + 12; f = u + 9; j = s + 6; u = 10; s = x + 2; w = m + 8; y = t + 9; d = a + 7; a = u + 18. Given that u = 10, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 16", "o": "y + 10", "n": "o + 13", "l": "n + 1", "w": "l + 13", "b": "w + 7", "i": "h + 19", "t": "i + 17", "q": "t + 6", "p": "q + 14", "a": "p + 18", "j": "a + 9", "h": 16}, "premises": {"h": 16}, "target": "b"}, "answer": {"steps": [["w", "l + 13", "l + 20"], ["l", "n + 1", "n + 21"], ["n", "o + 13", "o + 34"], ["o", "y + 10", "y + 44"], ["y", "h + 16", "h + 60"], ["h", 16, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"h": 16}, "is_reverse": true}}
| 2,423
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = a + 9; i = h + 19; w = l + 13; q = t + 6; b = w + 7; y = h + 16; t = i + 17; a = p + 18; p = q + 14; o = y + 10; l = n + 1; n = o + 13; h = 16. If h = 16, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 13 to b, which gives b = l + 20.\n2. Substitute l = n + 1 to b, which gives b = n + 21.\n3. Substitute n = o + 13 to b, which gives b = o + 34.\n4. Substitute o = y + 10 to b, which gives b = y + 44.\n5. Substitute y = h + 16 to b, which gives b = h + 60.\n6. Substitute h = 16 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 2423,
"question": "Consider a system of variables where each variable is defined as follows: j = a + 9; i = h + 19; w = l + 13; q = t + 6; b = w + 7; y = h + 16; t = i + 17; a = p + 18; p = q + 14; o = y + 10; l = n + 1; n = o + 13; h = 16. If h = 16, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 10", "j": "o + 10", "m": "j + 13", "z": "m + 9", "p": "z + 14", "e": "p + 1", "d": "h + 18", "f": "d + 8", "y": "f + 11", "r": "y + 2", "b": "r + 14", "t": "b + 13", "h": 14}, "premises": {"h": 14}, "target": "e"}, "answer": {"steps": [["p", "z + 14", "z + 15"], ["z", "m + 9", "m + 24"], ["m", "j + 13", "j + 37"], ["j", "o + 10", "o + 47"], ["o", "h + 10", "h + 57"], ["h", 14, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"h": 14}, "is_reverse": true}}
| 2,424
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 10; j = o + 10; y = f + 11; e = p + 1; d = h + 18; f = d + 8; t = b + 13; h = 14; m = j + 13; z = m + 9; b = r + 14; r = y + 2; p = z + 14. If h = 14, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 14 to e, which gives e = z + 15.\n2. Substitute z = m + 9 to e, which gives e = m + 24.\n3. Substitute m = j + 13 to e, which gives e = j + 37.\n4. Substitute j = o + 10 to e, which gives e = o + 47.\n5. Substitute o = h + 10 to e, which gives e = h + 57.\n6. Substitute h = 14 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 2424,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = h + 10; j = o + 10; y = f + 11; e = p + 1; d = h + 18; f = d + 8; t = b + 13; h = 14; m = j + 13; z = m + 9; b = r + 14; r = y + 2; p = z + 14. If h = 14, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 19", "r": "a + 10", "f": "r + 10", "j": "f + 17", "q": "j + 11", "o": "q + 16", "g": "w + 14", "p": "g + 9", "y": "p + 15", "h": "y + 5", "b": "h + 3", "x": "b + 18", "w": 8}, "premises": {"w": 8}, "target": "o"}, "answer": {"steps": [["q", "j + 11", "j + 27"], ["j", "f + 17", "f + 44"], ["f", "r + 10", "r + 54"], ["r", "a + 10", "a + 64"], ["a", "w + 19", "w + 83"], ["w", 8, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"w": 8}, "is_reverse": true}}
| 2,425
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 8; g = w + 14; h = y + 5; o = q + 16; r = a + 10; j = f + 17; b = h + 3; f = r + 10; q = j + 11; y = p + 15; p = g + 9; a = w + 19; x = b + 18. If w = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 11 to o, which gives o = j + 27.\n2. Substitute j = f + 17 to o, which gives o = f + 44.\n3. Substitute f = r + 10 to o, which gives o = r + 54.\n4. Substitute r = a + 10 to o, which gives o = a + 64.\n5. Substitute a = w + 19 to o, which gives o = w + 83.\n6. Substitute w = 8 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 2425,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 8; g = w + 14; h = y + 5; o = q + 16; r = a + 10; j = f + 17; b = h + 3; f = r + 10; q = j + 11; y = p + 15; p = g + 9; a = w + 19; x = b + 18. If w = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"v": "o + 18", "t": "v + 4", "n": "t + 4", "b": "n + 13", "g": "b + 17", "p": "g + 5", "k": "o + 6", "f": "k + 17", "z": "f + 10", "a": "z + 6", "e": "a + 13", "h": "e + 19", "o": 2}, "premises": {"o": 2}, "target": "p"}, "answer": {"steps": [["g", "b + 17", "b + 22"], ["b", "n + 13", "n + 35"], ["n", "t + 4", "t + 39"], ["t", "v + 4", "v + 43"], ["v", "o + 18", "o + 61"], ["o", 2, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"o": 2}, "is_reverse": true}}
| 2,426
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 4; b = n + 13; t = v + 4; a = z + 6; k = o + 6; p = g + 5; f = k + 17; h = e + 19; z = f + 10; e = a + 13; v = o + 18; g = b + 17; o = 2. If o = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 17 to p, which gives p = b + 22.\n2. Substitute b = n + 13 to p, which gives p = n + 35.\n3. Substitute n = t + 4 to p, which gives p = t + 39.\n4. Substitute t = v + 4 to p, which gives p = v + 43.\n5. Substitute v = o + 18 to p, which gives p = o + 61.\n6. Substitute o = 2 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 2426,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 4; b = n + 13; t = v + 4; a = z + 6; k = o + 6; p = g + 5; f = k + 17; h = e + 19; z = f + 10; e = a + 13; v = o + 18; g = b + 17; o = 2. If o = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 10", "r": "z + 7", "j": "r + 8", "u": "j + 9", "c": "u + 11", "p": "c + 15", "m": "o + 12", "e": "m + 18", "d": "e + 12", "t": "d + 12", "s": "t + 18", "l": "s + 4", "o": 20}, "premises": {"o": 20}, "target": "p"}, "answer": {"steps": [["c", "u + 11", "u + 26"], ["u", "j + 9", "j + 35"], ["j", "r + 8", "r + 43"], ["r", "z + 7", "z + 50"], ["z", "o + 10", "o + 60"], ["o", 20, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"o": 20}, "is_reverse": true}}
| 2,427
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 20; d = e + 12; s = t + 18; p = c + 15; l = s + 4; t = d + 12; u = j + 9; z = o + 10; c = u + 11; j = r + 8; m = o + 12; r = z + 7; e = m + 18. If o = 20, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 11 to p, which gives p = u + 26.\n2. Substitute u = j + 9 to p, which gives p = j + 35.\n3. Substitute j = r + 8 to p, which gives p = r + 43.\n4. Substitute r = z + 7 to p, which gives p = z + 50.\n5. Substitute z = o + 10 to p, which gives p = o + 60.\n6. Substitute o = 20 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 2427,
"question": "Consider a system of variables where each variable is defined as follows: o = 20; d = e + 12; s = t + 18; p = c + 15; l = s + 4; t = d + 12; u = j + 9; z = o + 10; c = u + 11; j = r + 8; m = o + 12; r = z + 7; e = m + 18. If o = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 11", "c": "h + 6", "i": "c + 1", "m": "i + 11", "y": "m + 14", "q": "y + 12", "b": "e + 2", "s": "b + 3", "d": "s + 14", "f": "d + 5", "o": "f + 13", "n": "o + 7", "e": 7}, "premises": {"e": 7}, "target": "q"}, "answer": {"steps": [["y", "m + 14", "m + 26"], ["m", "i + 11", "i + 37"], ["i", "c + 1", "c + 38"], ["c", "h + 6", "h + 44"], ["h", "e + 11", "e + 55"], ["e", 7, "62"]], "target_var_name": "q", "target_value": 62, "value_dict": {"e": 7}, "is_reverse": true}}
| 2,428
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 2; d = s + 14; h = e + 11; i = c + 1; s = b + 3; m = i + 11; c = h + 6; o = f + 13; y = m + 14; e = 7; n = o + 7; q = y + 12; f = d + 5. If e = 7, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 14 to q, which gives q = m + 26.\n2. Substitute m = i + 11 to q, which gives q = i + 37.\n3. Substitute i = c + 1 to q, which gives q = c + 38.\n4. Substitute c = h + 6 to q, which gives q = h + 44.\n5. Substitute h = e + 11 to q, which gives q = e + 55.\n6. Substitute e = 7 to q, which gives q = 62.\n\nThus, the final answer is q = \\boxed{62}.",
"index": 2428,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 2; d = s + 14; h = e + 11; i = c + 1; s = b + 3; m = i + 11; c = h + 6; o = f + 13; y = m + 14; e = 7; n = o + 7; q = y + 12; f = d + 5. If e = 7, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 13", "x": "w + 3", "a": "x + 3", "y": "a + 14", "k": "y + 17", "c": "k + 15", "b": "i + 5", "r": "b + 20", "l": "r + 15", "s": "l + 1", "f": "s + 7", "v": "f + 10", "i": 11}, "premises": {"i": 11}, "target": "c"}, "answer": {"steps": [["k", "y + 17", "y + 32"], ["y", "a + 14", "a + 46"], ["a", "x + 3", "x + 49"], ["x", "w + 3", "w + 52"], ["w", "i + 13", "i + 65"], ["i", 11, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"i": 11}, "is_reverse": true}}
| 2,429
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = i + 13; x = w + 3; l = r + 15; c = k + 15; b = i + 5; i = 11; s = l + 1; v = f + 10; a = x + 3; k = y + 17; y = a + 14; r = b + 20; f = s + 7. Given that i = 11, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 17 to c, which gives c = y + 32.\n2. Substitute y = a + 14 to c, which gives c = a + 46.\n3. Substitute a = x + 3 to c, which gives c = x + 49.\n4. Substitute x = w + 3 to c, which gives c = w + 52.\n5. Substitute w = i + 13 to c, which gives c = i + 65.\n6. Substitute i = 11 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 2429,
"question": "Suppose a collection of variables is related by the following definitions: w = i + 13; x = w + 3; l = r + 15; c = k + 15; b = i + 5; i = 11; s = l + 1; v = f + 10; a = x + 3; k = y + 17; y = a + 14; r = b + 20; f = s + 7. Given that i = 11, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 1", "j": "i + 13", "r": "j + 9", "q": "r + 10", "u": "q + 11", "t": "u + 9", "z": "a + 5", "x": "z + 9", "c": "x + 11", "f": "c + 11", "h": "f + 10", "w": "h + 10", "a": 7}, "premises": {"a": 7}, "target": "t"}, "answer": {"steps": [["u", "q + 11", "q + 20"], ["q", "r + 10", "r + 30"], ["r", "j + 9", "j + 39"], ["j", "i + 13", "i + 52"], ["i", "a + 1", "a + 53"], ["a", 7, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"a": 7}, "is_reverse": true}}
| 2,430
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 10; q = r + 10; i = a + 1; c = x + 11; j = i + 13; x = z + 9; r = j + 9; a = 7; z = a + 5; t = u + 9; f = c + 11; u = q + 11; w = h + 10. If a = 7, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = q + 11 to t, which gives t = q + 20.\n2. Substitute q = r + 10 to t, which gives t = r + 30.\n3. Substitute r = j + 9 to t, which gives t = j + 39.\n4. Substitute j = i + 13 to t, which gives t = i + 52.\n5. Substitute i = a + 1 to t, which gives t = a + 53.\n6. Substitute a = 7 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 2430,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 10; q = r + 10; i = a + 1; c = x + 11; j = i + 13; x = z + 9; r = j + 9; a = 7; z = a + 5; t = u + 9; f = c + 11; u = q + 11; w = h + 10. If a = 7, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 4", "z": "h + 13", "l": "z + 13", "y": "l + 14", "a": "y + 5", "f": "a + 11", "g": "n + 15", "k": "g + 14", "p": "k + 14", "c": "p + 1", "q": "c + 16", "e": "q + 17", "n": 2}, "premises": {"n": 2}, "target": "f"}, "answer": {"steps": [["a", "y + 5", "y + 16"], ["y", "l + 14", "l + 30"], ["l", "z + 13", "z + 43"], ["z", "h + 13", "h + 56"], ["h", "n + 4", "n + 60"], ["n", 2, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"n": 2}, "is_reverse": true}}
| 2,431
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 17; z = h + 13; f = a + 11; y = l + 14; p = k + 14; q = c + 16; g = n + 15; n = 2; k = g + 14; a = y + 5; l = z + 13; c = p + 1; h = n + 4. If n = 2, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 5 to f, which gives f = y + 16.\n2. Substitute y = l + 14 to f, which gives f = l + 30.\n3. Substitute l = z + 13 to f, which gives f = z + 43.\n4. Substitute z = h + 13 to f, which gives f = h + 56.\n5. Substitute h = n + 4 to f, which gives f = n + 60.\n6. Substitute n = 2 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 2431,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = q + 17; z = h + 13; f = a + 11; y = l + 14; p = k + 14; q = c + 16; g = n + 15; n = 2; k = g + 14; a = y + 5; l = z + 13; c = p + 1; h = n + 4. If n = 2, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"i": "z + 3", "e": "i + 2", "c": "e + 11", "t": "c + 19", "v": "t + 16", "x": "v + 6", "f": "z + 1", "g": "f + 9", "d": "g + 16", "k": "d + 17", "l": "k + 18", "a": "l + 8", "z": 3}, "premises": {"z": 3}, "target": "x"}, "answer": {"steps": [["v", "t + 16", "t + 22"], ["t", "c + 19", "c + 41"], ["c", "e + 11", "e + 52"], ["e", "i + 2", "i + 54"], ["i", "z + 3", "z + 57"], ["z", 3, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"z": 3}, "is_reverse": true}}
| 2,432
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = i + 2; t = c + 19; a = l + 8; i = z + 3; v = t + 16; f = z + 1; k = d + 17; g = f + 9; l = k + 18; z = 3; c = e + 11; d = g + 16; x = v + 6. If z = 3, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 16 to x, which gives x = t + 22.\n2. Substitute t = c + 19 to x, which gives x = c + 41.\n3. Substitute c = e + 11 to x, which gives x = e + 52.\n4. Substitute e = i + 2 to x, which gives x = i + 54.\n5. Substitute i = z + 3 to x, which gives x = z + 57.\n6. Substitute z = 3 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 2432,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 2; t = c + 19; a = l + 8; i = z + 3; v = t + 16; f = z + 1; k = d + 17; g = f + 9; l = k + 18; z = 3; c = e + 11; d = g + 16; x = v + 6. If z = 3, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 14", "o": "j + 10", "w": "o + 8", "s": "w + 9", "l": "s + 9", "e": "l + 8", "c": "u + 7", "h": "c + 16", "a": "h + 1", "g": "a + 8", "z": "g + 10", "q": "z + 18", "u": 11}, "premises": {"u": 11}, "target": "e"}, "answer": {"steps": [["l", "s + 9", "s + 17"], ["s", "w + 9", "w + 26"], ["w", "o + 8", "o + 34"], ["o", "j + 10", "j + 44"], ["j", "u + 14", "u + 58"], ["u", 11, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"u": 11}, "is_reverse": true}}
| 2,433
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = l + 8; q = z + 18; a = h + 1; s = w + 9; c = u + 7; j = u + 14; u = 11; z = g + 10; w = o + 8; l = s + 9; h = c + 16; o = j + 10; g = a + 8. Given that u = 11, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 9 to e, which gives e = s + 17.\n2. Substitute s = w + 9 to e, which gives e = w + 26.\n3. Substitute w = o + 8 to e, which gives e = o + 34.\n4. Substitute o = j + 10 to e, which gives e = j + 44.\n5. Substitute j = u + 14 to e, which gives e = u + 58.\n6. Substitute u = 11 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 2433,
"question": "Suppose a collection of variables is related by the following definitions: e = l + 8; q = z + 18; a = h + 1; s = w + 9; c = u + 7; j = u + 14; u = 11; z = g + 10; w = o + 8; l = s + 9; h = c + 16; o = j + 10; g = a + 8. Given that u = 11, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"r": "l + 8", "h": "r + 13", "p": "h + 14", "o": "p + 11", "b": "o + 7", "y": "b + 10", "g": "l + 12", "d": "g + 2", "c": "d + 1", "n": "c + 14", "z": "n + 15", "x": "z + 3", "l": 16}, "premises": {"l": 16}, "target": "y"}, "answer": {"steps": [["b", "o + 7", "o + 17"], ["o", "p + 11", "p + 28"], ["p", "h + 14", "h + 42"], ["h", "r + 13", "r + 55"], ["r", "l + 8", "l + 63"], ["l", 16, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"l": 16}, "is_reverse": true}}
| 2,434
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 11; p = h + 14; l = 16; r = l + 8; n = c + 14; h = r + 13; b = o + 7; g = l + 12; c = d + 1; y = b + 10; x = z + 3; z = n + 15; d = g + 2. If l = 16, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 7 to y, which gives y = o + 17.\n2. Substitute o = p + 11 to y, which gives y = p + 28.\n3. Substitute p = h + 14 to y, which gives y = h + 42.\n4. Substitute h = r + 13 to y, which gives y = r + 55.\n5. Substitute r = l + 8 to y, which gives y = l + 63.\n6. Substitute l = 16 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 2434,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 11; p = h + 14; l = 16; r = l + 8; n = c + 14; h = r + 13; b = o + 7; g = l + 12; c = d + 1; y = b + 10; x = z + 3; z = n + 15; d = g + 2. If l = 16, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"x": "y + 13", "d": "x + 15", "t": "d + 10", "h": "t + 14", "w": "h + 9", "l": "w + 18", "a": "y + 6", "z": "a + 11", "q": "z + 11", "n": "q + 19", "u": "n + 3", "g": "u + 18", "y": 1}, "premises": {"y": 1}, "target": "l"}, "answer": {"steps": [["w", "h + 9", "h + 27"], ["h", "t + 14", "t + 41"], ["t", "d + 10", "d + 51"], ["d", "x + 15", "x + 66"], ["x", "y + 13", "y + 79"], ["y", 1, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"y": 1}, "is_reverse": true}}
| 2,435
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = y + 13; w = h + 9; q = z + 11; l = w + 18; a = y + 6; n = q + 19; h = t + 14; z = a + 11; g = u + 18; y = 1; t = d + 10; u = n + 3; d = x + 15. Given that y = 1, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to l, which gives l = h + 27.\n2. Substitute h = t + 14 to l, which gives l = t + 41.\n3. Substitute t = d + 10 to l, which gives l = d + 51.\n4. Substitute d = x + 15 to l, which gives l = x + 66.\n5. Substitute x = y + 13 to l, which gives l = y + 79.\n6. Substitute y = 1 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 2435,
"question": "Suppose a collection of variables is related by the following definitions: x = y + 13; w = h + 9; q = z + 11; l = w + 18; a = y + 6; n = q + 19; h = t + 14; z = a + 11; g = u + 18; y = 1; t = d + 10; u = n + 3; d = x + 15. Given that y = 1, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 6", "t": "a + 14", "p": "t + 16", "u": "p + 5", "z": "u + 6", "h": "z + 13", "v": "y + 12", "m": "v + 2", "x": "m + 15", "k": "x + 20", "n": "k + 18", "q": "n + 13", "y": 19}, "premises": {"y": 19}, "target": "h"}, "answer": {"steps": [["z", "u + 6", "u + 19"], ["u", "p + 5", "p + 24"], ["p", "t + 16", "t + 40"], ["t", "a + 14", "a + 54"], ["a", "y + 6", "y + 60"], ["y", 19, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"y": 19}, "is_reverse": true}}
| 2,436
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = v + 2; n = k + 18; v = y + 12; k = x + 20; q = n + 13; h = z + 13; z = u + 6; y = 19; x = m + 15; u = p + 5; t = a + 14; a = y + 6; p = t + 16. If y = 19, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 6 to h, which gives h = u + 19.\n2. Substitute u = p + 5 to h, which gives h = p + 24.\n3. Substitute p = t + 16 to h, which gives h = t + 40.\n4. Substitute t = a + 14 to h, which gives h = a + 54.\n5. Substitute a = y + 6 to h, which gives h = y + 60.\n6. Substitute y = 19 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 2436,
"question": "Consider a system of variables where each variable is defined as follows: m = v + 2; n = k + 18; v = y + 12; k = x + 20; q = n + 13; h = z + 13; z = u + 6; y = 19; x = m + 15; u = p + 5; t = a + 14; a = y + 6; p = t + 16. If y = 19, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "d + 15", "u": "i + 20", "e": "u + 16", "s": "e + 10", "j": "s + 17", "w": "j + 3", "z": "d + 11", "q": "z + 17", "v": "q + 1", "k": "v + 10", "y": "k + 16", "t": "y + 16", "d": 5}, "premises": {"d": 5}, "target": "w"}, "answer": {"steps": [["j", "s + 17", "s + 20"], ["s", "e + 10", "e + 30"], ["e", "u + 16", "u + 46"], ["u", "i + 20", "i + 66"], ["i", "d + 15", "d + 81"], ["d", 5, "86"]], "target_var_name": "w", "target_value": 86, "value_dict": {"d": 5}, "is_reverse": true}}
| 2,437
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = u + 16; i = d + 15; q = z + 17; j = s + 17; k = v + 10; d = 5; w = j + 3; t = y + 16; v = q + 1; y = k + 16; z = d + 11; u = i + 20; s = e + 10. If d = 5, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 17 to w, which gives w = s + 20.\n2. Substitute s = e + 10 to w, which gives w = e + 30.\n3. Substitute e = u + 16 to w, which gives w = u + 46.\n4. Substitute u = i + 20 to w, which gives w = i + 66.\n5. Substitute i = d + 15 to w, which gives w = d + 81.\n6. Substitute d = 5 to w, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 2437,
"question": "Consider a system of variables where each variable is defined as follows: e = u + 16; i = d + 15; q = z + 17; j = s + 17; k = v + 10; d = 5; w = j + 3; t = y + 16; v = q + 1; y = k + 16; z = d + 11; u = i + 20; s = e + 10. If d = 5, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 6", "v": "u + 20", "s": "v + 20", "h": "s + 2", "p": "h + 12", "b": "p + 18", "l": "m + 20", "y": "l + 10", "w": "y + 19", "n": "w + 13", "r": "n + 3", "z": "r + 1", "m": 3}, "premises": {"m": 3}, "target": "b"}, "answer": {"steps": [["p", "h + 12", "h + 30"], ["h", "s + 2", "s + 32"], ["s", "v + 20", "v + 52"], ["v", "u + 20", "u + 72"], ["u", "m + 6", "m + 78"], ["m", 3, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"m": 3}, "is_reverse": true}}
| 2,438
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 1; w = y + 19; r = n + 3; y = l + 10; b = p + 18; l = m + 20; n = w + 13; u = m + 6; s = v + 20; p = h + 12; m = 3; v = u + 20; h = s + 2. Given that m = 3, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 12 to b, which gives b = h + 30.\n2. Substitute h = s + 2 to b, which gives b = s + 32.\n3. Substitute s = v + 20 to b, which gives b = v + 52.\n4. Substitute v = u + 20 to b, which gives b = u + 72.\n5. Substitute u = m + 6 to b, which gives b = m + 78.\n6. Substitute m = 3 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 2438,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 1; w = y + 19; r = n + 3; y = l + 10; b = p + 18; l = m + 20; n = w + 13; u = m + 6; s = v + 20; p = h + 12; m = 3; v = u + 20; h = s + 2. Given that m = 3, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "n + 18", "w": "j + 6", "a": "w + 14", "l": "a + 17", "p": "l + 13", "d": "p + 4", "e": "n + 9", "f": "e + 20", "q": "f + 4", "s": "q + 17", "k": "s + 16", "i": "k + 9", "n": 18}, "premises": {"n": 18}, "target": "d"}, "answer": {"steps": [["p", "l + 13", "l + 17"], ["l", "a + 17", "a + 34"], ["a", "w + 14", "w + 48"], ["w", "j + 6", "j + 54"], ["j", "n + 18", "n + 72"], ["n", 18, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"n": 18}, "is_reverse": true}}
| 2,439
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 16; w = j + 6; p = l + 13; n = 18; f = e + 20; l = a + 17; j = n + 18; d = p + 4; e = n + 9; a = w + 14; q = f + 4; s = q + 17; i = k + 9. If n = 18, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 13 to d, which gives d = l + 17.\n2. Substitute l = a + 17 to d, which gives d = a + 34.\n3. Substitute a = w + 14 to d, which gives d = w + 48.\n4. Substitute w = j + 6 to d, which gives d = j + 54.\n5. Substitute j = n + 18 to d, which gives d = n + 72.\n6. Substitute n = 18 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 2439,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 16; w = j + 6; p = l + 13; n = 18; f = e + 20; l = a + 17; j = n + 18; d = p + 4; e = n + 9; a = w + 14; q = f + 4; s = q + 17; i = k + 9. If n = 18, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"m": "n + 4", "h": "m + 7", "k": "h + 18", "l": "k + 11", "i": "l + 15", "q": "i + 17", "x": "n + 16", "p": "x + 2", "c": "p + 14", "g": "c + 20", "e": "g + 17", "s": "e + 15", "n": 6}, "premises": {"n": 6}, "target": "q"}, "answer": {"steps": [["i", "l + 15", "l + 32"], ["l", "k + 11", "k + 43"], ["k", "h + 18", "h + 61"], ["h", "m + 7", "m + 68"], ["m", "n + 4", "n + 72"], ["n", 6, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"n": 6}, "is_reverse": true}}
| 2,440
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = e + 15; k = h + 18; e = g + 17; i = l + 15; m = n + 4; q = i + 17; n = 6; g = c + 20; h = m + 7; l = k + 11; c = p + 14; p = x + 2; x = n + 16. If n = 6, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 15 to q, which gives q = l + 32.\n2. Substitute l = k + 11 to q, which gives q = k + 43.\n3. Substitute k = h + 18 to q, which gives q = h + 61.\n4. Substitute h = m + 7 to q, which gives q = m + 68.\n5. Substitute m = n + 4 to q, which gives q = n + 72.\n6. Substitute n = 6 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 2440,
"question": "Consider a system of variables where each variable is defined as follows: s = e + 15; k = h + 18; e = g + 17; i = l + 15; m = n + 4; q = i + 17; n = 6; g = c + 20; h = m + 7; l = k + 11; c = p + 14; p = x + 2; x = n + 16. If n = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "s + 9", "q": "j + 20", "c": "q + 5", "y": "c + 5", "l": "y + 9", "d": "l + 4", "p": "s + 17", "i": "p + 15", "f": "i + 19", "b": "f + 6", "m": "b + 9", "g": "m + 11", "s": 13}, "premises": {"s": 13}, "target": "d"}, "answer": {"steps": [["l", "y + 9", "y + 13"], ["y", "c + 5", "c + 18"], ["c", "q + 5", "q + 23"], ["q", "j + 20", "j + 43"], ["j", "s + 9", "s + 52"], ["s", 13, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"s": 13}, "is_reverse": true}}
| 2,441
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = l + 4; p = s + 17; g = m + 11; y = c + 5; c = q + 5; b = f + 6; i = p + 15; l = y + 9; q = j + 20; m = b + 9; j = s + 9; s = 13; f = i + 19. Given that s = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 9 to d, which gives d = y + 13.\n2. Substitute y = c + 5 to d, which gives d = c + 18.\n3. Substitute c = q + 5 to d, which gives d = q + 23.\n4. Substitute q = j + 20 to d, which gives d = j + 43.\n5. Substitute j = s + 9 to d, which gives d = s + 52.\n6. Substitute s = 13 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 2441,
"question": "Suppose a collection of variables is related by the following definitions: d = l + 4; p = s + 17; g = m + 11; y = c + 5; c = q + 5; b = f + 6; i = p + 15; l = y + 9; q = j + 20; m = b + 9; j = s + 9; s = 13; f = i + 19. Given that s = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 3", "v": "w + 15", "y": "v + 10", "q": "y + 1", "x": "q + 11", "u": "x + 13", "z": "a + 2", "e": "z + 18", "n": "e + 16", "k": "n + 12", "g": "k + 20", "t": "g + 8", "a": 2}, "premises": {"a": 2}, "target": "u"}, "answer": {"steps": [["x", "q + 11", "q + 24"], ["q", "y + 1", "y + 25"], ["y", "v + 10", "v + 35"], ["v", "w + 15", "w + 50"], ["w", "a + 3", "a + 53"], ["a", 2, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"a": 2}, "is_reverse": true}}
| 2,442
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 10; u = x + 13; k = n + 12; w = a + 3; g = k + 20; q = y + 1; e = z + 18; x = q + 11; n = e + 16; a = 2; t = g + 8; v = w + 15; z = a + 2. If a = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 11 to u, which gives u = q + 24.\n2. Substitute q = y + 1 to u, which gives u = y + 25.\n3. Substitute y = v + 10 to u, which gives u = v + 35.\n4. Substitute v = w + 15 to u, which gives u = w + 50.\n5. Substitute w = a + 3 to u, which gives u = a + 53.\n6. Substitute a = 2 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 2442,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 10; u = x + 13; k = n + 12; w = a + 3; g = k + 20; q = y + 1; e = z + 18; x = q + 11; n = e + 16; a = 2; t = g + 8; v = w + 15; z = a + 2. If a = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 12", "z": "i + 17", "b": "z + 12", "k": "b + 7", "g": "k + 12", "j": "g + 18", "t": "p + 15", "s": "t + 4", "q": "s + 15", "w": "q + 18", "f": "w + 5", "n": "f + 6", "p": 1}, "premises": {"p": 1}, "target": "j"}, "answer": {"steps": [["g", "k + 12", "k + 30"], ["k", "b + 7", "b + 37"], ["b", "z + 12", "z + 49"], ["z", "i + 17", "i + 66"], ["i", "p + 12", "p + 78"], ["p", 1, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"p": 1}, "is_reverse": true}}
| 2,443
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 12; z = i + 17; k = b + 7; q = s + 15; s = t + 4; n = f + 6; t = p + 15; w = q + 18; j = g + 18; i = p + 12; f = w + 5; p = 1; g = k + 12. If p = 1, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 12 to j, which gives j = k + 30.\n2. Substitute k = b + 7 to j, which gives j = b + 37.\n3. Substitute b = z + 12 to j, which gives j = z + 49.\n4. Substitute z = i + 17 to j, which gives j = i + 66.\n5. Substitute i = p + 12 to j, which gives j = p + 78.\n6. Substitute p = 1 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 2443,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 12; z = i + 17; k = b + 7; q = s + 15; s = t + 4; n = f + 6; t = p + 15; w = q + 18; j = g + 18; i = p + 12; f = w + 5; p = 1; g = k + 12. If p = 1, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "j + 9", "r": "b + 17", "z": "r + 15", "u": "z + 4", "p": "u + 16", "k": "p + 18", "e": "j + 12", "w": "e + 8", "a": "w + 17", "i": "a + 4", "s": "i + 18", "g": "s + 13", "j": 19}, "premises": {"j": 19}, "target": "k"}, "answer": {"steps": [["p", "u + 16", "u + 34"], ["u", "z + 4", "z + 38"], ["z", "r + 15", "r + 53"], ["r", "b + 17", "b + 70"], ["b", "j + 9", "j + 79"], ["j", 19, "98"]], "target_var_name": "k", "target_value": 98, "value_dict": {"j": 19}, "is_reverse": true}}
| 2,444
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 17; w = e + 8; u = z + 4; b = j + 9; e = j + 12; k = p + 18; j = 19; z = r + 15; i = a + 4; p = u + 16; g = s + 13; r = b + 17; s = i + 18. If j = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 16 to k, which gives k = u + 34.\n2. Substitute u = z + 4 to k, which gives k = z + 38.\n3. Substitute z = r + 15 to k, which gives k = r + 53.\n4. Substitute r = b + 17 to k, which gives k = b + 70.\n5. Substitute b = j + 9 to k, which gives k = j + 79.\n6. Substitute j = 19 to k, which gives k = 98.\n\nThus, the final answer is k = \\boxed{98}.",
"index": 2444,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 17; w = e + 8; u = z + 4; b = j + 9; e = j + 12; k = p + 18; j = 19; z = r + 15; i = a + 4; p = u + 16; g = s + 13; r = b + 17; s = i + 18. If j = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "c + 13", "m": "x + 16", "b": "m + 4", "p": "b + 3", "t": "p + 4", "k": "t + 6", "q": "c + 19", "v": "q + 8", "h": "v + 20", "u": "h + 9", "l": "u + 19", "d": "l + 14", "c": 20}, "premises": {"c": 20}, "target": "k"}, "answer": {"steps": [["t", "p + 4", "p + 10"], ["p", "b + 3", "b + 13"], ["b", "m + 4", "m + 17"], ["m", "x + 16", "x + 33"], ["x", "c + 13", "c + 46"], ["c", 20, "66"]], "target_var_name": "k", "target_value": 66, "value_dict": {"c": 20}, "is_reverse": true}}
| 2,445
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 3; u = h + 9; k = t + 6; m = x + 16; t = p + 4; d = l + 14; b = m + 4; x = c + 13; c = 20; q = c + 19; v = q + 8; h = v + 20; l = u + 19. If c = 20, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 4 to k, which gives k = p + 10.\n2. Substitute p = b + 3 to k, which gives k = b + 13.\n3. Substitute b = m + 4 to k, which gives k = m + 17.\n4. Substitute m = x + 16 to k, which gives k = x + 33.\n5. Substitute x = c + 13 to k, which gives k = c + 46.\n6. Substitute c = 20 to k, which gives k = 66.\n\nThus, the final answer is k = \\boxed{66}.",
"index": 2445,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 3; u = h + 9; k = t + 6; m = x + 16; t = p + 4; d = l + 14; b = m + 4; x = c + 13; c = 20; q = c + 19; v = q + 8; h = v + 20; l = u + 19. If c = 20, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 14", "a": "v + 19", "q": "a + 2", "e": "q + 15", "s": "e + 17", "i": "s + 15", "x": "z + 3", "h": "x + 3", "p": "h + 5", "c": "p + 6", "y": "c + 15", "b": "y + 16", "z": 10}, "premises": {"z": 10}, "target": "i"}, "answer": {"steps": [["s", "e + 17", "e + 32"], ["e", "q + 15", "q + 47"], ["q", "a + 2", "a + 49"], ["a", "v + 19", "v + 68"], ["v", "z + 14", "z + 82"], ["z", 10, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"z": 10}, "is_reverse": true}}
| 2,446
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = e + 17; e = q + 15; p = h + 5; x = z + 3; v = z + 14; h = x + 3; a = v + 19; i = s + 15; c = p + 6; z = 10; q = a + 2; b = y + 16; y = c + 15. Given that z = 10, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 17 to i, which gives i = e + 32.\n2. Substitute e = q + 15 to i, which gives i = q + 47.\n3. Substitute q = a + 2 to i, which gives i = a + 49.\n4. Substitute a = v + 19 to i, which gives i = v + 68.\n5. Substitute v = z + 14 to i, which gives i = z + 82.\n6. Substitute z = 10 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 2446,
"question": "Suppose a collection of variables is related by the following definitions: s = e + 17; e = q + 15; p = h + 5; x = z + 3; v = z + 14; h = x + 3; a = v + 19; i = s + 15; c = p + 6; z = 10; q = a + 2; b = y + 16; y = c + 15. Given that z = 10, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 17", "n": "s + 7", "t": "n + 3", "x": "t + 14", "y": "x + 12", "v": "y + 2", "q": "o + 18", "z": "q + 1", "j": "z + 8", "p": "j + 11", "c": "p + 7", "d": "c + 13", "o": 9}, "premises": {"o": 9}, "target": "v"}, "answer": {"steps": [["y", "x + 12", "x + 14"], ["x", "t + 14", "t + 28"], ["t", "n + 3", "n + 31"], ["n", "s + 7", "s + 38"], ["s", "o + 17", "o + 55"], ["o", 9, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"o": 9}, "is_reverse": true}}
| 2,447
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 13; s = o + 17; n = s + 7; c = p + 7; q = o + 18; x = t + 14; j = z + 8; v = y + 2; y = x + 12; p = j + 11; o = 9; t = n + 3; z = q + 1. Given that o = 9, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 12 to v, which gives v = x + 14.\n2. Substitute x = t + 14 to v, which gives v = t + 28.\n3. Substitute t = n + 3 to v, which gives v = n + 31.\n4. Substitute n = s + 7 to v, which gives v = s + 38.\n5. Substitute s = o + 17 to v, which gives v = o + 55.\n6. Substitute o = 9 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 2447,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 13; s = o + 17; n = s + 7; c = p + 7; q = o + 18; x = t + 14; j = z + 8; v = y + 2; y = x + 12; p = j + 11; o = 9; t = n + 3; z = q + 1. Given that o = 9, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 12", "i": "p + 8", "n": "i + 11", "d": "n + 19", "f": "d + 6", "j": "f + 3", "m": "u + 14", "a": "m + 5", "t": "a + 8", "q": "t + 19", "r": "q + 16", "e": "r + 16", "u": 1}, "premises": {"u": 1}, "target": "j"}, "answer": {"steps": [["f", "d + 6", "d + 9"], ["d", "n + 19", "n + 28"], ["n", "i + 11", "i + 39"], ["i", "p + 8", "p + 47"], ["p", "u + 12", "u + 59"], ["u", 1, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"u": 1}, "is_reverse": true}}
| 2,448
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 8; a = m + 5; u = 1; d = n + 19; m = u + 14; f = d + 6; j = f + 3; n = i + 11; e = r + 16; q = t + 19; i = p + 8; p = u + 12; r = q + 16. If u = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 6 to j, which gives j = d + 9.\n2. Substitute d = n + 19 to j, which gives j = n + 28.\n3. Substitute n = i + 11 to j, which gives j = i + 39.\n4. Substitute i = p + 8 to j, which gives j = p + 47.\n5. Substitute p = u + 12 to j, which gives j = u + 59.\n6. Substitute u = 1 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 2448,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 8; a = m + 5; u = 1; d = n + 19; m = u + 14; f = d + 6; j = f + 3; n = i + 11; e = r + 16; q = t + 19; i = p + 8; p = u + 12; r = q + 16. If u = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 11", "q": "c + 18", "o": "q + 2", "v": "o + 14", "e": "v + 15", "s": "e + 11", "b": "j + 20", "p": "b + 13", "y": "p + 13", "w": "y + 7", "f": "w + 2", "g": "f + 18", "j": 1}, "premises": {"j": 1}, "target": "s"}, "answer": {"steps": [["e", "v + 15", "v + 26"], ["v", "o + 14", "o + 40"], ["o", "q + 2", "q + 42"], ["q", "c + 18", "c + 60"], ["c", "j + 11", "j + 71"], ["j", 1, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"j": 1}, "is_reverse": true}}
| 2,449
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = o + 14; o = q + 2; p = b + 13; q = c + 18; j = 1; c = j + 11; e = v + 15; s = e + 11; b = j + 20; w = y + 7; f = w + 2; y = p + 13; g = f + 18. Given that j = 1, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 15 to s, which gives s = v + 26.\n2. Substitute v = o + 14 to s, which gives s = o + 40.\n3. Substitute o = q + 2 to s, which gives s = q + 42.\n4. Substitute q = c + 18 to s, which gives s = c + 60.\n5. Substitute c = j + 11 to s, which gives s = j + 71.\n6. Substitute j = 1 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 2449,
"question": "Suppose a collection of variables is related by the following definitions: v = o + 14; o = q + 2; p = b + 13; q = c + 18; j = 1; c = j + 11; e = v + 15; s = e + 11; b = j + 20; w = y + 7; f = w + 2; y = p + 13; g = f + 18. Given that j = 1, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 8", "s": "g + 19", "f": "s + 15", "d": "f + 17", "x": "d + 15", "c": "x + 16", "y": "e + 19", "m": "y + 3", "n": "m + 2", "i": "n + 19", "q": "i + 6", "j": "q + 7", "e": 10}, "premises": {"e": 10}, "target": "c"}, "answer": {"steps": [["x", "d + 15", "d + 31"], ["d", "f + 17", "f + 48"], ["f", "s + 15", "s + 63"], ["s", "g + 19", "g + 82"], ["g", "e + 8", "e + 90"], ["e", 10, "100"]], "target_var_name": "c", "target_value": 100, "value_dict": {"e": 10}, "is_reverse": true}}
| 2,450
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 2; m = y + 3; i = n + 19; q = i + 6; d = f + 17; s = g + 19; e = 10; y = e + 19; j = q + 7; c = x + 16; g = e + 8; x = d + 15; f = s + 15. If e = 10, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 15 to c, which gives c = d + 31.\n2. Substitute d = f + 17 to c, which gives c = f + 48.\n3. Substitute f = s + 15 to c, which gives c = s + 63.\n4. Substitute s = g + 19 to c, which gives c = g + 82.\n5. Substitute g = e + 8 to c, which gives c = e + 90.\n6. Substitute e = 10 to c, which gives c = 100.\n\nThus, the final answer is c = \\boxed{100}.",
"index": 2450,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = m + 2; m = y + 3; i = n + 19; q = i + 6; d = f + 17; s = g + 19; e = 10; y = e + 19; j = q + 7; c = x + 16; g = e + 8; x = d + 15; f = s + 15. If e = 10, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 16", "x": "j + 2", "o": "x + 13", "u": "o + 11", "w": "u + 11", "n": "w + 19", "t": "a + 8", "c": "t + 14", "z": "c + 18", "h": "z + 17", "g": "h + 16", "v": "g + 4", "a": 16}, "premises": {"a": 16}, "target": "n"}, "answer": {"steps": [["w", "u + 11", "u + 30"], ["u", "o + 11", "o + 41"], ["o", "x + 13", "x + 54"], ["x", "j + 2", "j + 56"], ["j", "a + 16", "a + 72"], ["a", 16, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"a": 16}, "is_reverse": true}}
| 2,451
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 4; o = x + 13; j = a + 16; u = o + 11; h = z + 17; a = 16; w = u + 11; z = c + 18; x = j + 2; t = a + 8; n = w + 19; c = t + 14; g = h + 16. Given that a = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 11 to n, which gives n = u + 30.\n2. Substitute u = o + 11 to n, which gives n = o + 41.\n3. Substitute o = x + 13 to n, which gives n = x + 54.\n4. Substitute x = j + 2 to n, which gives n = j + 56.\n5. Substitute j = a + 16 to n, which gives n = a + 72.\n6. Substitute a = 16 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 2451,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 4; o = x + 13; j = a + 16; u = o + 11; h = z + 17; a = 16; w = u + 11; z = c + 18; x = j + 2; t = a + 8; n = w + 19; c = t + 14; g = h + 16. Given that a = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 18", "v": "c + 17", "e": "v + 16", "y": "e + 16", "k": "y + 7", "d": "k + 15", "u": "h + 13", "t": "u + 2", "q": "t + 13", "o": "q + 13", "a": "o + 15", "g": "a + 20", "h": 5}, "premises": {"h": 5}, "target": "d"}, "answer": {"steps": [["k", "y + 7", "y + 22"], ["y", "e + 16", "e + 38"], ["e", "v + 16", "v + 54"], ["v", "c + 17", "c + 71"], ["c", "h + 18", "h + 89"], ["h", 5, "94"]], "target_var_name": "d", "target_value": 94, "value_dict": {"h": 5}, "is_reverse": true}}
| 2,452
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = a + 20; e = v + 16; q = t + 13; k = y + 7; u = h + 13; c = h + 18; a = o + 15; y = e + 16; h = 5; t = u + 2; d = k + 15; v = c + 17; o = q + 13. Given that h = 5, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 7 to d, which gives d = y + 22.\n2. Substitute y = e + 16 to d, which gives d = e + 38.\n3. Substitute e = v + 16 to d, which gives d = v + 54.\n4. Substitute v = c + 17 to d, which gives d = c + 71.\n5. Substitute c = h + 18 to d, which gives d = h + 89.\n6. Substitute h = 5 to d, which gives d = 94.\n\nThus, the final answer is d = \\boxed{94}.",
"index": 2452,
"question": "Suppose a collection of variables is related by the following definitions: g = a + 20; e = v + 16; q = t + 13; k = y + 7; u = h + 13; c = h + 18; a = o + 15; y = e + 16; h = 5; t = u + 2; d = k + 15; v = c + 17; o = q + 13. Given that h = 5, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 3", "n": "j + 2", "u": "n + 2", "f": "u + 14", "s": "f + 19", "o": "s + 20", "v": "y + 10", "m": "v + 16", "c": "m + 11", "g": "c + 5", "a": "g + 11", "x": "a + 2", "y": 16}, "premises": {"y": 16}, "target": "o"}, "answer": {"steps": [["s", "f + 19", "f + 39"], ["f", "u + 14", "u + 53"], ["u", "n + 2", "n + 55"], ["n", "j + 2", "j + 57"], ["j", "y + 3", "y + 60"], ["y", 16, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"y": 16}, "is_reverse": true}}
| 2,453
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 11; f = u + 14; n = j + 2; m = v + 16; x = a + 2; v = y + 10; o = s + 20; u = n + 2; j = y + 3; s = f + 19; y = 16; a = g + 11; g = c + 5. If y = 16, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 19 to o, which gives o = f + 39.\n2. Substitute f = u + 14 to o, which gives o = u + 53.\n3. Substitute u = n + 2 to o, which gives o = n + 55.\n4. Substitute n = j + 2 to o, which gives o = j + 57.\n5. Substitute j = y + 3 to o, which gives o = y + 60.\n6. Substitute y = 16 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 2453,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 11; f = u + 14; n = j + 2; m = v + 16; x = a + 2; v = y + 10; o = s + 20; u = n + 2; j = y + 3; s = f + 19; y = 16; a = g + 11; g = c + 5. If y = 16, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"s": "w + 6", "c": "s + 16", "q": "c + 14", "h": "q + 5", "z": "h + 5", "t": "z + 14", "m": "w + 14", "k": "m + 16", "a": "k + 6", "o": "a + 6", "y": "o + 16", "r": "y + 6", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["z", "h + 5", "h + 19"], ["h", "q + 5", "q + 24"], ["q", "c + 14", "c + 38"], ["c", "s + 16", "s + 54"], ["s", "w + 6", "w + 60"], ["w", 11, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"w": 11}, "is_reverse": true}}
| 2,454
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = c + 14; t = z + 14; a = k + 6; z = h + 5; c = s + 16; w = 11; s = w + 6; y = o + 16; o = a + 6; m = w + 14; k = m + 16; h = q + 5; r = y + 6. Given that w = 11, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 5 to t, which gives t = h + 19.\n2. Substitute h = q + 5 to t, which gives t = q + 24.\n3. Substitute q = c + 14 to t, which gives t = c + 38.\n4. Substitute c = s + 16 to t, which gives t = s + 54.\n5. Substitute s = w + 6 to t, which gives t = w + 60.\n6. Substitute w = 11 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 2454,
"question": "Suppose a collection of variables is related by the following definitions: q = c + 14; t = z + 14; a = k + 6; z = h + 5; c = s + 16; w = 11; s = w + 6; y = o + 16; o = a + 6; m = w + 14; k = m + 16; h = q + 5; r = y + 6. Given that w = 11, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 4", "b": "y + 20", "e": "b + 5", "m": "e + 13", "s": "m + 12", "n": "s + 11", "u": "g + 2", "a": "u + 18", "l": "a + 6", "p": "l + 19", "v": "p + 14", "k": "v + 6", "g": 10}, "premises": {"g": 10}, "target": "n"}, "answer": {"steps": [["s", "m + 12", "m + 23"], ["m", "e + 13", "e + 36"], ["e", "b + 5", "b + 41"], ["b", "y + 20", "y + 61"], ["y", "g + 4", "g + 65"], ["g", 10, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"g": 10}, "is_reverse": true}}
| 2,455
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 13; l = a + 6; a = u + 18; n = s + 11; s = m + 12; b = y + 20; k = v + 6; y = g + 4; g = 10; p = l + 19; v = p + 14; u = g + 2; e = b + 5. Given that g = 10, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 12 to n, which gives n = m + 23.\n2. Substitute m = e + 13 to n, which gives n = e + 36.\n3. Substitute e = b + 5 to n, which gives n = b + 41.\n4. Substitute b = y + 20 to n, which gives n = y + 61.\n5. Substitute y = g + 4 to n, which gives n = g + 65.\n6. Substitute g = 10 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 2455,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 13; l = a + 6; a = u + 18; n = s + 11; s = m + 12; b = y + 20; k = v + 6; y = g + 4; g = 10; p = l + 19; v = p + 14; u = g + 2; e = b + 5. Given that g = 10, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 9", "i": "c + 5", "t": "i + 2", "a": "t + 16", "v": "a + 4", "z": "v + 9", "g": "r + 6", "j": "g + 10", "d": "j + 20", "q": "d + 6", "h": "q + 9", "u": "h + 10", "r": 19}, "premises": {"r": 19}, "target": "z"}, "answer": {"steps": [["v", "a + 4", "a + 13"], ["a", "t + 16", "t + 29"], ["t", "i + 2", "i + 31"], ["i", "c + 5", "c + 36"], ["c", "r + 9", "r + 45"], ["r", 19, "64"]], "target_var_name": "z", "target_value": 64, "value_dict": {"r": 19}, "is_reverse": true}}
| 2,456
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 6; h = q + 9; i = c + 5; j = g + 10; u = h + 10; r = 19; a = t + 16; z = v + 9; v = a + 4; c = r + 9; g = r + 6; d = j + 20; t = i + 2. Given that r = 19, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 4 to z, which gives z = a + 13.\n2. Substitute a = t + 16 to z, which gives z = t + 29.\n3. Substitute t = i + 2 to z, which gives z = i + 31.\n4. Substitute i = c + 5 to z, which gives z = c + 36.\n5. Substitute c = r + 9 to z, which gives z = r + 45.\n6. Substitute r = 19 to z, which gives z = 64.\n\nThus, the final answer is z = \\boxed{64}.",
"index": 2456,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 6; h = q + 9; i = c + 5; j = g + 10; u = h + 10; r = 19; a = t + 16; z = v + 9; v = a + 4; c = r + 9; g = r + 6; d = j + 20; t = i + 2. Given that r = 19, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 7", "r": "e + 6", "i": "r + 17", "p": "i + 13", "b": "p + 12", "h": "b + 14", "x": "k + 4", "g": "x + 7", "q": "g + 10", "n": "q + 16", "j": "n + 8", "f": "j + 4", "k": 13}, "premises": {"k": 13}, "target": "h"}, "answer": {"steps": [["b", "p + 12", "p + 26"], ["p", "i + 13", "i + 39"], ["i", "r + 17", "r + 56"], ["r", "e + 6", "e + 62"], ["e", "k + 7", "k + 69"], ["k", 13, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"k": 13}, "is_reverse": true}}
| 2,457
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 12; g = x + 7; k = 13; h = b + 14; i = r + 17; n = q + 16; p = i + 13; j = n + 8; q = g + 10; x = k + 4; r = e + 6; e = k + 7; f = j + 4. If k = 13, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 12 to h, which gives h = p + 26.\n2. Substitute p = i + 13 to h, which gives h = i + 39.\n3. Substitute i = r + 17 to h, which gives h = r + 56.\n4. Substitute r = e + 6 to h, which gives h = e + 62.\n5. Substitute e = k + 7 to h, which gives h = k + 69.\n6. Substitute k = 13 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 2457,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 12; g = x + 7; k = 13; h = b + 14; i = r + 17; n = q + 16; p = i + 13; j = n + 8; q = g + 10; x = k + 4; r = e + 6; e = k + 7; f = j + 4. If k = 13, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 7", "f": "k + 4", "z": "f + 7", "n": "z + 19", "a": "n + 17", "c": "a + 4", "p": "g + 20", "b": "p + 20", "e": "b + 15", "d": "e + 8", "o": "d + 5", "j": "o + 3", "g": 14}, "premises": {"g": 14}, "target": "c"}, "answer": {"steps": [["a", "n + 17", "n + 21"], ["n", "z + 19", "z + 40"], ["z", "f + 7", "f + 47"], ["f", "k + 4", "k + 51"], ["k", "g + 7", "g + 58"], ["g", 14, "72"]], "target_var_name": "c", "target_value": 72, "value_dict": {"g": 14}, "is_reverse": true}}
| 2,458
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 7; f = k + 4; c = a + 4; o = d + 5; a = n + 17; k = g + 7; j = o + 3; p = g + 20; b = p + 20; d = e + 8; g = 14; e = b + 15; n = z + 19. If g = 14, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 17 to c, which gives c = n + 21.\n2. Substitute n = z + 19 to c, which gives c = z + 40.\n3. Substitute z = f + 7 to c, which gives c = f + 47.\n4. Substitute f = k + 4 to c, which gives c = k + 51.\n5. Substitute k = g + 7 to c, which gives c = g + 58.\n6. Substitute g = 14 to c, which gives c = 72.\n\nThus, the final answer is c = \\boxed{72}.",
"index": 2458,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 7; f = k + 4; c = a + 4; o = d + 5; a = n + 17; k = g + 7; j = o + 3; p = g + 20; b = p + 20; d = e + 8; g = 14; e = b + 15; n = z + 19. If g = 14, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 5", "z": "b + 6", "q": "z + 1", "f": "q + 1", "k": "f + 3", "n": "k + 7", "v": "m + 1", "y": "v + 9", "w": "y + 6", "t": "w + 14", "h": "t + 1", "e": "h + 10", "m": 5}, "premises": {"m": 5}, "target": "n"}, "answer": {"steps": [["k", "f + 3", "f + 10"], ["f", "q + 1", "q + 11"], ["q", "z + 1", "z + 12"], ["z", "b + 6", "b + 18"], ["b", "m + 5", "m + 23"], ["m", 5, "28"]], "target_var_name": "n", "target_value": 28, "value_dict": {"m": 5}, "is_reverse": true}}
| 2,459
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 5; n = k + 7; e = h + 10; z = b + 6; v = m + 1; w = y + 6; k = f + 3; f = q + 1; b = m + 5; t = w + 14; h = t + 1; y = v + 9; q = z + 1. If m = 5, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 28,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 3 to n, which gives n = f + 10.\n2. Substitute f = q + 1 to n, which gives n = q + 11.\n3. Substitute q = z + 1 to n, which gives n = z + 12.\n4. Substitute z = b + 6 to n, which gives n = b + 18.\n5. Substitute b = m + 5 to n, which gives n = m + 23.\n6. Substitute m = 5 to n, which gives n = 28.\n\nThus, the final answer is n = \\boxed{28}.",
"index": 2459,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 5; n = k + 7; e = h + 10; z = b + 6; v = m + 1; w = y + 6; k = f + 3; f = q + 1; b = m + 5; t = w + 14; h = t + 1; y = v + 9; q = z + 1. If m = 5, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"t": "c + 20", "y": "t + 1", "q": "y + 3", "s": "q + 11", "r": "s + 20", "g": "r + 6", "w": "c + 18", "p": "w + 20", "e": "p + 18", "k": "e + 15", "h": "k + 11", "o": "h + 3", "c": 11}, "premises": {"c": 11}, "target": "g"}, "answer": {"steps": [["r", "s + 20", "s + 26"], ["s", "q + 11", "q + 37"], ["q", "y + 3", "y + 40"], ["y", "t + 1", "t + 41"], ["t", "c + 20", "c + 61"], ["c", 11, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"c": 11}, "is_reverse": true}}
| 2,460
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = t + 1; q = y + 3; t = c + 20; g = r + 6; p = w + 20; o = h + 3; h = k + 11; w = c + 18; c = 11; r = s + 20; k = e + 15; s = q + 11; e = p + 18. Given that c = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 20 to g, which gives g = s + 26.\n2. Substitute s = q + 11 to g, which gives g = q + 37.\n3. Substitute q = y + 3 to g, which gives g = y + 40.\n4. Substitute y = t + 1 to g, which gives g = t + 41.\n5. Substitute t = c + 20 to g, which gives g = c + 61.\n6. Substitute c = 11 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 2460,
"question": "Suppose a collection of variables is related by the following definitions: y = t + 1; q = y + 3; t = c + 20; g = r + 6; p = w + 20; o = h + 3; h = k + 11; w = c + 18; c = 11; r = s + 20; k = e + 15; s = q + 11; e = p + 18. Given that c = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 16", "o": "j + 14", "u": "o + 11", "i": "u + 18", "v": "i + 20", "x": "v + 14", "q": "w + 12", "t": "q + 5", "r": "t + 4", "d": "r + 14", "a": "d + 9", "g": "a + 15", "w": 20}, "premises": {"w": 20}, "target": "x"}, "answer": {"steps": [["v", "i + 20", "i + 34"], ["i", "u + 18", "u + 52"], ["u", "o + 11", "o + 63"], ["o", "j + 14", "j + 77"], ["j", "w + 16", "w + 93"], ["w", 20, "113"]], "target_var_name": "x", "target_value": 113, "value_dict": {"w": 20}, "is_reverse": true}}
| 2,461
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 14; v = i + 20; g = a + 15; t = q + 5; q = w + 12; u = o + 11; r = t + 4; j = w + 16; x = v + 14; d = r + 14; w = 20; i = u + 18; a = d + 9. Given that w = 20, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 113,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 20 to x, which gives x = i + 34.\n2. Substitute i = u + 18 to x, which gives x = u + 52.\n3. Substitute u = o + 11 to x, which gives x = o + 63.\n4. Substitute o = j + 14 to x, which gives x = j + 77.\n5. Substitute j = w + 16 to x, which gives x = w + 93.\n6. Substitute w = 20 to x, which gives x = 113.\n\nThus, the final answer is x = \\boxed{113}.",
"index": 2461,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 14; v = i + 20; g = a + 15; t = q + 5; q = w + 12; u = o + 11; r = t + 4; j = w + 16; x = v + 14; d = r + 14; w = 20; i = u + 18; a = d + 9. Given that w = 20, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "q + 14", "k": "d + 19", "f": "k + 4", "i": "f + 18", "b": "i + 2", "m": "b + 15", "p": "q + 2", "z": "p + 9", "v": "z + 7", "c": "v + 4", "l": "c + 13", "x": "l + 18", "q": 10}, "premises": {"q": 10}, "target": "m"}, "answer": {"steps": [["b", "i + 2", "i + 17"], ["i", "f + 18", "f + 35"], ["f", "k + 4", "k + 39"], ["k", "d + 19", "d + 58"], ["d", "q + 14", "q + 72"], ["q", 10, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"q": 10}, "is_reverse": true}}
| 2,462
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 18; i = f + 18; m = b + 15; q = 10; z = p + 9; k = d + 19; f = k + 4; b = i + 2; v = z + 7; p = q + 2; d = q + 14; l = c + 13; c = v + 4. If q = 10, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 2 to m, which gives m = i + 17.\n2. Substitute i = f + 18 to m, which gives m = f + 35.\n3. Substitute f = k + 4 to m, which gives m = k + 39.\n4. Substitute k = d + 19 to m, which gives m = d + 58.\n5. Substitute d = q + 14 to m, which gives m = q + 72.\n6. Substitute q = 10 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 2462,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = l + 18; i = f + 18; m = b + 15; q = 10; z = p + 9; k = d + 19; f = k + 4; b = i + 2; v = z + 7; p = q + 2; d = q + 14; l = c + 13; c = v + 4. If q = 10, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"n": "h + 19", "x": "n + 16", "f": "x + 6", "p": "f + 13", "o": "p + 4", "w": "o + 5", "v": "h + 7", "z": "v + 10", "l": "z + 8", "d": "l + 10", "q": "d + 10", "u": "q + 20", "h": 7}, "premises": {"h": 7}, "target": "w"}, "answer": {"steps": [["o", "p + 4", "p + 9"], ["p", "f + 13", "f + 22"], ["f", "x + 6", "x + 28"], ["x", "n + 16", "n + 44"], ["n", "h + 19", "h + 63"], ["h", 7, "70"]], "target_var_name": "w", "target_value": 70, "value_dict": {"h": 7}, "is_reverse": true}}
| 2,463
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 13; h = 7; x = n + 16; l = z + 8; w = o + 5; v = h + 7; z = v + 10; o = p + 4; u = q + 20; n = h + 19; q = d + 10; d = l + 10; f = x + 6. Given that h = 7, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 4 to w, which gives w = p + 9.\n2. Substitute p = f + 13 to w, which gives w = f + 22.\n3. Substitute f = x + 6 to w, which gives w = x + 28.\n4. Substitute x = n + 16 to w, which gives w = n + 44.\n5. Substitute n = h + 19 to w, which gives w = h + 63.\n6. Substitute h = 7 to w, which gives w = 70.\n\nThus, the final answer is w = \\boxed{70}.",
"index": 2463,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 13; h = 7; x = n + 16; l = z + 8; w = o + 5; v = h + 7; z = v + 10; o = p + 4; u = q + 20; n = h + 19; q = d + 10; d = l + 10; f = x + 6. Given that h = 7, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"q": "d + 20", "a": "q + 4", "c": "a + 19", "l": "c + 6", "v": "l + 4", "r": "v + 7", "o": "d + 16", "b": "o + 16", "f": "b + 7", "z": "f + 14", "s": "z + 9", "p": "s + 15", "d": 16}, "premises": {"d": 16}, "target": "r"}, "answer": {"steps": [["v", "l + 4", "l + 11"], ["l", "c + 6", "c + 17"], ["c", "a + 19", "a + 36"], ["a", "q + 4", "q + 40"], ["q", "d + 20", "d + 60"], ["d", 16, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"d": 16}, "is_reverse": true}}
| 2,464
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 19; l = c + 6; v = l + 4; q = d + 20; a = q + 4; r = v + 7; b = o + 16; s = z + 9; f = b + 7; o = d + 16; p = s + 15; d = 16; z = f + 14. If d = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 4 to r, which gives r = l + 11.\n2. Substitute l = c + 6 to r, which gives r = c + 17.\n3. Substitute c = a + 19 to r, which gives r = a + 36.\n4. Substitute a = q + 4 to r, which gives r = q + 40.\n5. Substitute q = d + 20 to r, which gives r = d + 60.\n6. Substitute d = 16 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 2464,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 19; l = c + 6; v = l + 4; q = d + 20; a = q + 4; r = v + 7; b = o + 16; s = z + 9; f = b + 7; o = d + 16; p = s + 15; d = 16; z = f + 14. If d = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 9", "t": "c + 13", "v": "t + 16", "u": "v + 10", "w": "u + 7", "e": "w + 20", "a": "y + 6", "o": "a + 19", "b": "o + 1", "m": "b + 1", "l": "m + 19", "s": "l + 16", "y": 6}, "premises": {"y": 6}, "target": "e"}, "answer": {"steps": [["w", "u + 7", "u + 27"], ["u", "v + 10", "v + 37"], ["v", "t + 16", "t + 53"], ["t", "c + 13", "c + 66"], ["c", "y + 9", "y + 75"], ["y", 6, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"y": 6}, "is_reverse": true}}
| 2,465
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 19; e = w + 20; w = u + 7; a = y + 6; l = m + 19; c = y + 9; u = v + 10; t = c + 13; y = 6; b = o + 1; s = l + 16; m = b + 1; v = t + 16. If y = 6, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 7 to e, which gives e = u + 27.\n2. Substitute u = v + 10 to e, which gives e = v + 37.\n3. Substitute v = t + 16 to e, which gives e = t + 53.\n4. Substitute t = c + 13 to e, which gives e = c + 66.\n5. Substitute c = y + 9 to e, which gives e = y + 75.\n6. Substitute y = 6 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 2465,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 19; e = w + 20; w = u + 7; a = y + 6; l = m + 19; c = y + 9; u = v + 10; t = c + 13; y = 6; b = o + 1; s = l + 16; m = b + 1; v = t + 16. If y = 6, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 15", "p": "n + 1", "y": "p + 19", "m": "y + 5", "x": "m + 8", "h": "x + 20", "r": "w + 1", "c": "r + 3", "t": "c + 13", "o": "t + 19", "i": "o + 11", "d": "i + 7", "w": 18}, "premises": {"w": 18}, "target": "h"}, "answer": {"steps": [["x", "m + 8", "m + 28"], ["m", "y + 5", "y + 33"], ["y", "p + 19", "p + 52"], ["p", "n + 1", "n + 53"], ["n", "w + 15", "w + 68"], ["w", 18, "86"]], "target_var_name": "h", "target_value": 86, "value_dict": {"w": 18}, "is_reverse": true}}
| 2,466
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 7; i = o + 11; r = w + 1; h = x + 20; o = t + 19; m = y + 5; p = n + 1; w = 18; x = m + 8; t = c + 13; n = w + 15; y = p + 19; c = r + 3. Given that w = 18, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 8 to h, which gives h = m + 28.\n2. Substitute m = y + 5 to h, which gives h = y + 33.\n3. Substitute y = p + 19 to h, which gives h = p + 52.\n4. Substitute p = n + 1 to h, which gives h = n + 53.\n5. Substitute n = w + 15 to h, which gives h = w + 68.\n6. Substitute w = 18 to h, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 2466,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 7; i = o + 11; r = w + 1; h = x + 20; o = t + 19; m = y + 5; p = n + 1; w = 18; x = m + 8; t = c + 13; n = w + 15; y = p + 19; c = r + 3. Given that w = 18, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 7", "i": "g + 1", "o": "i + 5", "d": "o + 1", "m": "d + 4", "a": "m + 20", "f": "w + 3", "r": "f + 1", "x": "r + 16", "h": "x + 17", "c": "h + 20", "y": "c + 15", "w": 12}, "premises": {"w": 12}, "target": "a"}, "answer": {"steps": [["m", "d + 4", "d + 24"], ["d", "o + 1", "o + 25"], ["o", "i + 5", "i + 30"], ["i", "g + 1", "g + 31"], ["g", "w + 7", "w + 38"], ["w", 12, "50"]], "target_var_name": "a", "target_value": 50, "value_dict": {"w": 12}, "is_reverse": true}}
| 2,467
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 1; d = o + 1; r = f + 1; w = 12; y = c + 15; f = w + 3; h = x + 17; g = w + 7; a = m + 20; c = h + 20; m = d + 4; o = i + 5; x = r + 16. If w = 12, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 4 to a, which gives a = d + 24.\n2. Substitute d = o + 1 to a, which gives a = o + 25.\n3. Substitute o = i + 5 to a, which gives a = i + 30.\n4. Substitute i = g + 1 to a, which gives a = g + 31.\n5. Substitute g = w + 7 to a, which gives a = w + 38.\n6. Substitute w = 12 to a, which gives a = 50.\n\nThus, the final answer is a = \\boxed{50}.",
"index": 2467,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 1; d = o + 1; r = f + 1; w = 12; y = c + 15; f = w + 3; h = x + 17; g = w + 7; a = m + 20; c = h + 20; m = d + 4; o = i + 5; x = r + 16. If w = 12, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 3", "u": "y + 11", "k": "u + 15", "i": "k + 3", "o": "i + 15", "s": "o + 15", "b": "n + 4", "e": "b + 5", "t": "e + 19", "c": "t + 19", "m": "c + 15", "l": "m + 10", "n": 6}, "premises": {"n": 6}, "target": "s"}, "answer": {"steps": [["o", "i + 15", "i + 30"], ["i", "k + 3", "k + 33"], ["k", "u + 15", "u + 48"], ["u", "y + 11", "y + 59"], ["y", "n + 3", "n + 62"], ["n", 6, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"n": 6}, "is_reverse": true}}
| 2,468
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 5; t = e + 19; s = o + 15; u = y + 11; i = k + 3; o = i + 15; b = n + 4; m = c + 15; n = 6; c = t + 19; y = n + 3; k = u + 15; l = m + 10. If n = 6, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 15 to s, which gives s = i + 30.\n2. Substitute i = k + 3 to s, which gives s = k + 33.\n3. Substitute k = u + 15 to s, which gives s = u + 48.\n4. Substitute u = y + 11 to s, which gives s = y + 59.\n5. Substitute y = n + 3 to s, which gives s = n + 62.\n6. Substitute n = 6 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 2468,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 5; t = e + 19; s = o + 15; u = y + 11; i = k + 3; o = i + 15; b = n + 4; m = c + 15; n = 6; c = t + 19; y = n + 3; k = u + 15; l = m + 10. If n = 6, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 6", "n": "o + 7", "u": "n + 19", "e": "u + 3", "y": "e + 14", "p": "y + 18", "d": "i + 5", "f": "d + 13", "x": "f + 6", "z": "x + 16", "q": "z + 9", "m": "q + 3", "i": 15}, "premises": {"i": 15}, "target": "p"}, "answer": {"steps": [["y", "e + 14", "e + 32"], ["e", "u + 3", "u + 35"], ["u", "n + 19", "n + 54"], ["n", "o + 7", "o + 61"], ["o", "i + 6", "i + 67"], ["i", 15, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"i": 15}, "is_reverse": true}}
| 2,469
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 9; x = f + 6; i = 15; z = x + 16; n = o + 7; o = i + 6; e = u + 3; f = d + 13; d = i + 5; m = q + 3; y = e + 14; u = n + 19; p = y + 18. If i = 15, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 14 to p, which gives p = e + 32.\n2. Substitute e = u + 3 to p, which gives p = u + 35.\n3. Substitute u = n + 19 to p, which gives p = n + 54.\n4. Substitute n = o + 7 to p, which gives p = o + 61.\n5. Substitute o = i + 6 to p, which gives p = i + 67.\n6. Substitute i = 15 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 2469,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 9; x = f + 6; i = 15; z = x + 16; n = o + 7; o = i + 6; e = u + 3; f = d + 13; d = i + 5; m = q + 3; y = e + 14; u = n + 19; p = y + 18. If i = 15, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 20", "y": "e + 18", "q": "y + 18", "m": "q + 19", "r": "m + 14", "g": "r + 9", "h": "t + 17", "l": "h + 16", "a": "l + 11", "v": "a + 17", "j": "v + 6", "x": "j + 6", "t": 4}, "premises": {"t": 4}, "target": "g"}, "answer": {"steps": [["r", "m + 14", "m + 23"], ["m", "q + 19", "q + 42"], ["q", "y + 18", "y + 60"], ["y", "e + 18", "e + 78"], ["e", "t + 20", "t + 98"], ["t", 4, "102"]], "target_var_name": "g", "target_value": 102, "value_dict": {"t": 4}, "is_reverse": true}}
| 2,470
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 14; q = y + 18; e = t + 20; a = l + 11; v = a + 17; l = h + 16; x = j + 6; t = 4; g = r + 9; h = t + 17; j = v + 6; m = q + 19; y = e + 18. If t = 4, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 14 to g, which gives g = m + 23.\n2. Substitute m = q + 19 to g, which gives g = q + 42.\n3. Substitute q = y + 18 to g, which gives g = y + 60.\n4. Substitute y = e + 18 to g, which gives g = e + 78.\n5. Substitute e = t + 20 to g, which gives g = t + 98.\n6. Substitute t = 4 to g, which gives g = 102.\n\nThus, the final answer is g = \\boxed{102}.",
"index": 2470,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 14; q = y + 18; e = t + 20; a = l + 11; v = a + 17; l = h + 16; x = j + 6; t = 4; g = r + 9; h = t + 17; j = v + 6; m = q + 19; y = e + 18. If t = 4, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"s": "m + 14", "z": "s + 6", "t": "z + 4", "l": "t + 5", "d": "l + 4", "c": "d + 14", "i": "m + 16", "p": "i + 8", "v": "p + 6", "o": "v + 20", "u": "o + 17", "a": "u + 9", "m": 11}, "premises": {"m": 11}, "target": "c"}, "answer": {"steps": [["d", "l + 4", "l + 18"], ["l", "t + 5", "t + 23"], ["t", "z + 4", "z + 27"], ["z", "s + 6", "s + 33"], ["s", "m + 14", "m + 47"], ["m", 11, "58"]], "target_var_name": "c", "target_value": 58, "value_dict": {"m": 11}, "is_reverse": true}}
| 2,471
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = d + 14; z = s + 6; t = z + 4; o = v + 20; p = i + 8; l = t + 5; s = m + 14; i = m + 16; d = l + 4; v = p + 6; m = 11; a = u + 9; u = o + 17. Given that m = 11, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 4 to c, which gives c = l + 18.\n2. Substitute l = t + 5 to c, which gives c = t + 23.\n3. Substitute t = z + 4 to c, which gives c = z + 27.\n4. Substitute z = s + 6 to c, which gives c = s + 33.\n5. Substitute s = m + 14 to c, which gives c = m + 47.\n6. Substitute m = 11 to c, which gives c = 58.\n\nThus, the final answer is c = \\boxed{58}.",
"index": 2471,
"question": "Suppose a collection of variables is related by the following definitions: c = d + 14; z = s + 6; t = z + 4; o = v + 20; p = i + 8; l = t + 5; s = m + 14; i = m + 16; d = l + 4; v = p + 6; m = 11; a = u + 9; u = o + 17. Given that m = 11, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 18", "u": "f + 19", "q": "u + 16", "l": "q + 1", "n": "l + 6", "j": "n + 12", "r": "v + 6", "g": "r + 15", "s": "g + 16", "p": "s + 18", "t": "p + 4", "i": "t + 4", "v": 2}, "premises": {"v": 2}, "target": "j"}, "answer": {"steps": [["n", "l + 6", "l + 18"], ["l", "q + 1", "q + 19"], ["q", "u + 16", "u + 35"], ["u", "f + 19", "f + 54"], ["f", "v + 18", "v + 72"], ["v", 2, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"v": 2}, "is_reverse": true}}
| 2,472
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 19; i = t + 4; v = 2; l = q + 1; s = g + 16; j = n + 12; q = u + 16; p = s + 18; r = v + 6; n = l + 6; t = p + 4; f = v + 18; g = r + 15. If v = 2, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 6 to j, which gives j = l + 18.\n2. Substitute l = q + 1 to j, which gives j = q + 19.\n3. Substitute q = u + 16 to j, which gives j = u + 35.\n4. Substitute u = f + 19 to j, which gives j = f + 54.\n5. Substitute f = v + 18 to j, which gives j = v + 72.\n6. Substitute v = 2 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 2472,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = f + 19; i = t + 4; v = 2; l = q + 1; s = g + 16; j = n + 12; q = u + 16; p = s + 18; r = v + 6; n = l + 6; t = p + 4; f = v + 18; g = r + 15. If v = 2, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 4", "z": "a + 4", "c": "z + 18", "n": "c + 14", "d": "n + 1", "g": "d + 3", "e": "w + 18", "h": "e + 3", "k": "h + 5", "s": "k + 7", "b": "s + 4", "p": "b + 17", "w": 19}, "premises": {"w": 19}, "target": "g"}, "answer": {"steps": [["d", "n + 1", "n + 4"], ["n", "c + 14", "c + 18"], ["c", "z + 18", "z + 36"], ["z", "a + 4", "a + 40"], ["a", "w + 4", "w + 44"], ["w", 19, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"w": 19}, "is_reverse": true}}
| 2,473
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = b + 17; g = d + 3; e = w + 18; d = n + 1; z = a + 4; b = s + 4; c = z + 18; s = k + 7; k = h + 5; a = w + 4; h = e + 3; n = c + 14; w = 19. Given that w = 19, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 1 to g, which gives g = n + 4.\n2. Substitute n = c + 14 to g, which gives g = c + 18.\n3. Substitute c = z + 18 to g, which gives g = z + 36.\n4. Substitute z = a + 4 to g, which gives g = a + 40.\n5. Substitute a = w + 4 to g, which gives g = w + 44.\n6. Substitute w = 19 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 2473,
"question": "Suppose a collection of variables is related by the following definitions: p = b + 17; g = d + 3; e = w + 18; d = n + 1; z = a + 4; b = s + 4; c = z + 18; s = k + 7; k = h + 5; a = w + 4; h = e + 3; n = c + 14; w = 19. Given that w = 19, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "u + 15", "l": "a + 4", "w": "l + 5", "z": "w + 4", "q": "z + 20", "o": "q + 10", "c": "u + 10", "p": "c + 18", "t": "p + 7", "r": "t + 11", "i": "r + 11", "n": "i + 6", "u": 8}, "premises": {"u": 8}, "target": "o"}, "answer": {"steps": [["q", "z + 20", "z + 30"], ["z", "w + 4", "w + 34"], ["w", "l + 5", "l + 39"], ["l", "a + 4", "a + 43"], ["a", "u + 15", "u + 58"], ["u", 8, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"u": 8}, "is_reverse": true}}
| 2,474
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 6; q = z + 20; w = l + 5; o = q + 10; t = p + 7; a = u + 15; c = u + 10; z = w + 4; u = 8; i = r + 11; l = a + 4; r = t + 11; p = c + 18. If u = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 20 to o, which gives o = z + 30.\n2. Substitute z = w + 4 to o, which gives o = w + 34.\n3. Substitute w = l + 5 to o, which gives o = l + 39.\n4. Substitute l = a + 4 to o, which gives o = a + 43.\n5. Substitute a = u + 15 to o, which gives o = u + 58.\n6. Substitute u = 8 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 2474,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 6; q = z + 20; w = l + 5; o = q + 10; t = p + 7; a = u + 15; c = u + 10; z = w + 4; u = 8; i = r + 11; l = a + 4; r = t + 11; p = c + 18. If u = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "i + 13", "a": "n + 7", "s": "a + 9", "e": "s + 9", "m": "e + 15", "g": "m + 6", "w": "i + 2", "r": "w + 9", "k": "r + 1", "c": "k + 6", "h": "c + 6", "q": "h + 14", "i": 12}, "premises": {"i": 12}, "target": "g"}, "answer": {"steps": [["m", "e + 15", "e + 21"], ["e", "s + 9", "s + 30"], ["s", "a + 9", "a + 39"], ["a", "n + 7", "n + 46"], ["n", "i + 13", "i + 59"], ["i", 12, "71"]], "target_var_name": "g", "target_value": 71, "value_dict": {"i": 12}, "is_reverse": true}}
| 2,475
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 6; s = a + 9; k = r + 1; n = i + 13; w = i + 2; r = w + 9; m = e + 15; i = 12; g = m + 6; e = s + 9; a = n + 7; q = h + 14; c = k + 6. Given that i = 12, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 15 to g, which gives g = e + 21.\n2. Substitute e = s + 9 to g, which gives g = s + 30.\n3. Substitute s = a + 9 to g, which gives g = a + 39.\n4. Substitute a = n + 7 to g, which gives g = n + 46.\n5. Substitute n = i + 13 to g, which gives g = i + 59.\n6. Substitute i = 12 to g, which gives g = 71.\n\nThus, the final answer is g = \\boxed{71}.",
"index": 2475,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 6; s = a + 9; k = r + 1; n = i + 13; w = i + 2; r = w + 9; m = e + 15; i = 12; g = m + 6; e = s + 9; a = n + 7; q = h + 14; c = k + 6. Given that i = 12, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 7", "y": "g + 20", "s": "y + 4", "w": "s + 4", "z": "w + 18", "m": "z + 7", "a": "j + 8", "q": "a + 4", "t": "q + 18", "l": "t + 7", "f": "l + 8", "o": "f + 4", "j": 4}, "premises": {"j": 4}, "target": "m"}, "answer": {"steps": [["z", "w + 18", "w + 25"], ["w", "s + 4", "s + 29"], ["s", "y + 4", "y + 33"], ["y", "g + 20", "g + 53"], ["g", "j + 7", "j + 60"], ["j", 4, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"j": 4}, "is_reverse": true}}
| 2,476
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 7; s = y + 4; f = l + 8; w = s + 4; y = g + 20; o = f + 4; a = j + 8; j = 4; t = q + 18; l = t + 7; z = w + 18; q = a + 4; m = z + 7. If j = 4, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = w + 18 to m, which gives m = w + 25.\n2. Substitute w = s + 4 to m, which gives m = s + 29.\n3. Substitute s = y + 4 to m, which gives m = y + 33.\n4. Substitute y = g + 20 to m, which gives m = g + 53.\n5. Substitute g = j + 7 to m, which gives m = j + 60.\n6. Substitute j = 4 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 2476,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 7; s = y + 4; f = l + 8; w = s + 4; y = g + 20; o = f + 4; a = j + 8; j = 4; t = q + 18; l = t + 7; z = w + 18; q = a + 4; m = z + 7. If j = 4, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 7", "q": "e + 10", "y": "q + 12", "i": "y + 8", "f": "i + 8", "o": "f + 9", "r": "p + 5", "s": "r + 3", "x": "s + 11", "v": "x + 18", "u": "v + 4", "t": "u + 13", "p": 1}, "premises": {"p": 1}, "target": "o"}, "answer": {"steps": [["f", "i + 8", "i + 17"], ["i", "y + 8", "y + 25"], ["y", "q + 12", "q + 37"], ["q", "e + 10", "e + 47"], ["e", "p + 7", "p + 54"], ["p", 1, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"p": 1}, "is_reverse": true}}
| 2,477
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 9; i = y + 8; p = 1; u = v + 4; y = q + 12; r = p + 5; s = r + 3; v = x + 18; t = u + 13; f = i + 8; x = s + 11; q = e + 10; e = p + 7. Given that p = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 8 to o, which gives o = i + 17.\n2. Substitute i = y + 8 to o, which gives o = y + 25.\n3. Substitute y = q + 12 to o, which gives o = q + 37.\n4. Substitute q = e + 10 to o, which gives o = e + 47.\n5. Substitute e = p + 7 to o, which gives o = p + 54.\n6. Substitute p = 1 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 2477,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 9; i = y + 8; p = 1; u = v + 4; y = q + 12; r = p + 5; s = r + 3; v = x + 18; t = u + 13; f = i + 8; x = s + 11; q = e + 10; e = p + 7. Given that p = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"w": "e + 5", "x": "w + 14", "r": "x + 3", "b": "r + 3", "h": "b + 20", "g": "h + 14", "c": "e + 3", "m": "c + 18", "j": "m + 7", "y": "j + 2", "a": "y + 6", "z": "a + 19", "e": 14}, "premises": {"e": 14}, "target": "g"}, "answer": {"steps": [["h", "b + 20", "b + 34"], ["b", "r + 3", "r + 37"], ["r", "x + 3", "x + 40"], ["x", "w + 14", "w + 54"], ["w", "e + 5", "e + 59"], ["e", 14, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"e": 14}, "is_reverse": true}}
| 2,478
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 18; x = w + 14; c = e + 3; b = r + 3; r = x + 3; j = m + 7; h = b + 20; y = j + 2; w = e + 5; a = y + 6; g = h + 14; e = 14; z = a + 19. If e = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 20 to g, which gives g = b + 34.\n2. Substitute b = r + 3 to g, which gives g = r + 37.\n3. Substitute r = x + 3 to g, which gives g = x + 40.\n4. Substitute x = w + 14 to g, which gives g = w + 54.\n5. Substitute w = e + 5 to g, which gives g = e + 59.\n6. Substitute e = 14 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 2478,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 18; x = w + 14; c = e + 3; b = r + 3; r = x + 3; j = m + 7; h = b + 20; y = j + 2; w = e + 5; a = y + 6; g = h + 14; e = 14; z = a + 19. If e = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"x": "m + 2", "c": "x + 12", "w": "c + 2", "y": "w + 11", "v": "y + 11", "o": "v + 13", "e": "m + 11", "t": "e + 3", "f": "t + 18", "s": "f + 1", "d": "s + 12", "a": "d + 15", "m": 2}, "premises": {"m": 2}, "target": "o"}, "answer": {"steps": [["v", "y + 11", "y + 24"], ["y", "w + 11", "w + 35"], ["w", "c + 2", "c + 37"], ["c", "x + 12", "x + 49"], ["x", "m + 2", "m + 51"], ["m", 2, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"m": 2}, "is_reverse": true}}
| 2,479
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 11; w = c + 2; f = t + 18; v = y + 11; c = x + 12; e = m + 11; d = s + 12; a = d + 15; x = m + 2; s = f + 1; o = v + 13; t = e + 3; m = 2. If m = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 11 to o, which gives o = y + 24.\n2. Substitute y = w + 11 to o, which gives o = w + 35.\n3. Substitute w = c + 2 to o, which gives o = c + 37.\n4. Substitute c = x + 12 to o, which gives o = x + 49.\n5. Substitute x = m + 2 to o, which gives o = m + 51.\n6. Substitute m = 2 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 2479,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 11; w = c + 2; f = t + 18; v = y + 11; c = x + 12; e = m + 11; d = s + 12; a = d + 15; x = m + 2; s = f + 1; o = v + 13; t = e + 3; m = 2. If m = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 10", "o": "a + 16", "q": "o + 8", "n": "q + 17", "d": "n + 13", "e": "d + 15", "y": "s + 9", "f": "y + 7", "h": "f + 4", "m": "h + 10", "k": "m + 5", "j": "k + 16", "s": 4}, "premises": {"s": 4}, "target": "e"}, "answer": {"steps": [["d", "n + 13", "n + 28"], ["n", "q + 17", "q + 45"], ["q", "o + 8", "o + 53"], ["o", "a + 16", "a + 69"], ["a", "s + 10", "s + 79"], ["s", 4, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"s": 4}, "is_reverse": true}}
| 2,480
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 4; q = o + 8; m = h + 10; a = s + 10; d = n + 13; h = f + 4; n = q + 17; k = m + 5; o = a + 16; y = s + 9; f = y + 7; j = k + 16; e = d + 15. Given that s = 4, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 13 to e, which gives e = n + 28.\n2. Substitute n = q + 17 to e, which gives e = q + 45.\n3. Substitute q = o + 8 to e, which gives e = o + 53.\n4. Substitute o = a + 16 to e, which gives e = a + 69.\n5. Substitute a = s + 10 to e, which gives e = s + 79.\n6. Substitute s = 4 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 2480,
"question": "Suppose a collection of variables is related by the following definitions: s = 4; q = o + 8; m = h + 10; a = s + 10; d = n + 13; h = f + 4; n = q + 17; k = m + 5; o = a + 16; y = s + 9; f = y + 7; j = k + 16; e = d + 15. Given that s = 4, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 1", "p": "g + 7", "d": "p + 13", "u": "d + 15", "t": "u + 6", "w": "t + 20", "e": "v + 18", "a": "e + 20", "q": "a + 13", "m": "q + 8", "z": "m + 6", "b": "z + 9", "v": 15}, "premises": {"v": 15}, "target": "w"}, "answer": {"steps": [["t", "u + 6", "u + 26"], ["u", "d + 15", "d + 41"], ["d", "p + 13", "p + 54"], ["p", "g + 7", "g + 61"], ["g", "v + 1", "v + 62"], ["v", 15, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"v": 15}, "is_reverse": true}}
| 2,481
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 6; d = p + 13; w = t + 20; g = v + 1; p = g + 7; z = m + 6; v = 15; a = e + 20; q = a + 13; e = v + 18; u = d + 15; m = q + 8; b = z + 9. If v = 15, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 6 to w, which gives w = u + 26.\n2. Substitute u = d + 15 to w, which gives w = d + 41.\n3. Substitute d = p + 13 to w, which gives w = p + 54.\n4. Substitute p = g + 7 to w, which gives w = g + 61.\n5. Substitute g = v + 1 to w, which gives w = v + 62.\n6. Substitute v = 15 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 2481,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 6; d = p + 13; w = t + 20; g = v + 1; p = g + 7; z = m + 6; v = 15; a = e + 20; q = a + 13; e = v + 18; u = d + 15; m = q + 8; b = z + 9. If v = 15, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 5", "m": "r + 5", "s": "m + 8", "y": "s + 13", "g": "y + 11", "l": "g + 14", "k": "x + 3", "n": "k + 17", "e": "n + 2", "h": "e + 10", "v": "h + 19", "t": "v + 4", "x": 8}, "premises": {"x": 8}, "target": "l"}, "answer": {"steps": [["g", "y + 11", "y + 25"], ["y", "s + 13", "s + 38"], ["s", "m + 8", "m + 46"], ["m", "r + 5", "r + 51"], ["r", "x + 5", "x + 56"], ["x", 8, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"x": 8}, "is_reverse": true}}
| 2,482
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 13; m = r + 5; l = g + 14; s = m + 8; r = x + 5; k = x + 3; x = 8; g = y + 11; h = e + 10; n = k + 17; e = n + 2; v = h + 19; t = v + 4. If x = 8, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 11 to l, which gives l = y + 25.\n2. Substitute y = s + 13 to l, which gives l = s + 38.\n3. Substitute s = m + 8 to l, which gives l = m + 46.\n4. Substitute m = r + 5 to l, which gives l = r + 51.\n5. Substitute r = x + 5 to l, which gives l = x + 56.\n6. Substitute x = 8 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 2482,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 13; m = r + 5; l = g + 14; s = m + 8; r = x + 5; k = x + 3; x = 8; g = y + 11; h = e + 10; n = k + 17; e = n + 2; v = h + 19; t = v + 4. If x = 8, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 15", "d": "n + 18", "f": "d + 14", "l": "f + 9", "e": "l + 2", "x": "e + 4", "w": "m + 6", "z": "w + 18", "y": "z + 8", "s": "y + 12", "j": "s + 14", "c": "j + 3", "m": 12}, "premises": {"m": 12}, "target": "x"}, "answer": {"steps": [["e", "l + 2", "l + 6"], ["l", "f + 9", "f + 15"], ["f", "d + 14", "d + 29"], ["d", "n + 18", "n + 47"], ["n", "m + 15", "m + 62"], ["m", 12, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"m": 12}, "is_reverse": true}}
| 2,483
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 9; f = d + 14; m = 12; j = s + 14; s = y + 12; n = m + 15; x = e + 4; c = j + 3; y = z + 8; e = l + 2; z = w + 18; w = m + 6; d = n + 18. If m = 12, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 2 to x, which gives x = l + 6.\n2. Substitute l = f + 9 to x, which gives x = f + 15.\n3. Substitute f = d + 14 to x, which gives x = d + 29.\n4. Substitute d = n + 18 to x, which gives x = n + 47.\n5. Substitute n = m + 15 to x, which gives x = m + 62.\n6. Substitute m = 12 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 2483,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = f + 9; f = d + 14; m = 12; j = s + 14; s = y + 12; n = m + 15; x = e + 4; c = j + 3; y = z + 8; e = l + 2; z = w + 18; w = m + 6; d = n + 18. If m = 12, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 12", "d": "a + 19", "x": "d + 19", "k": "x + 16", "h": "k + 4", "b": "h + 4", "u": "n + 16", "m": "u + 6", "t": "m + 12", "j": "t + 3", "q": "j + 11", "s": "q + 9", "n": 17}, "premises": {"n": 17}, "target": "b"}, "answer": {"steps": [["h", "k + 4", "k + 8"], ["k", "x + 16", "x + 24"], ["x", "d + 19", "d + 43"], ["d", "a + 19", "a + 62"], ["a", "n + 12", "n + 74"], ["n", 17, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"n": 17}, "is_reverse": true}}
| 2,484
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 6; a = n + 12; k = x + 16; s = q + 9; h = k + 4; n = 17; t = m + 12; b = h + 4; q = j + 11; j = t + 3; u = n + 16; d = a + 19; x = d + 19. If n = 17, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 4 to b, which gives b = k + 8.\n2. Substitute k = x + 16 to b, which gives b = x + 24.\n3. Substitute x = d + 19 to b, which gives b = d + 43.\n4. Substitute d = a + 19 to b, which gives b = a + 62.\n5. Substitute a = n + 12 to b, which gives b = n + 74.\n6. Substitute n = 17 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 2484,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 6; a = n + 12; k = x + 16; s = q + 9; h = k + 4; n = 17; t = m + 12; b = h + 4; q = j + 11; j = t + 3; u = n + 16; d = a + 19; x = d + 19. If n = 17, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 11", "y": "z + 10", "v": "y + 4", "o": "v + 14", "j": "o + 16", "h": "j + 19", "x": "q + 2", "e": "x + 11", "u": "e + 2", "k": "u + 4", "f": "k + 2", "a": "f + 20", "q": 4}, "premises": {"q": 4}, "target": "h"}, "answer": {"steps": [["j", "o + 16", "o + 35"], ["o", "v + 14", "v + 49"], ["v", "y + 4", "y + 53"], ["y", "z + 10", "z + 63"], ["z", "q + 11", "q + 74"], ["q", 4, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"q": 4}, "is_reverse": true}}
| 2,485
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; u = e + 2; j = o + 16; f = k + 2; y = z + 10; x = q + 2; h = j + 19; v = y + 4; e = x + 11; q = 4; a = f + 20; k = u + 4; o = v + 14. If q = 4, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 16 to h, which gives h = o + 35.\n2. Substitute o = v + 14 to h, which gives h = v + 49.\n3. Substitute v = y + 4 to h, which gives h = y + 53.\n4. Substitute y = z + 10 to h, which gives h = z + 63.\n5. Substitute z = q + 11 to h, which gives h = q + 74.\n6. Substitute q = 4 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 2485,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; u = e + 2; j = o + 16; f = k + 2; y = z + 10; x = q + 2; h = j + 19; v = y + 4; e = x + 11; q = 4; a = f + 20; k = u + 4; o = v + 14. If q = 4, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"h": "r + 10", "z": "h + 3", "j": "z + 6", "v": "j + 5", "q": "v + 10", "n": "q + 18", "k": "r + 5", "p": "k + 20", "b": "p + 16", "x": "b + 15", "d": "x + 20", "f": "d + 19", "r": 14}, "premises": {"r": 14}, "target": "n"}, "answer": {"steps": [["q", "v + 10", "v + 28"], ["v", "j + 5", "j + 33"], ["j", "z + 6", "z + 39"], ["z", "h + 3", "h + 42"], ["h", "r + 10", "r + 52"], ["r", 14, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"r": 14}, "is_reverse": true}}
| 2,486
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 14; z = h + 3; n = q + 18; v = j + 5; b = p + 16; d = x + 20; x = b + 15; q = v + 10; k = r + 5; j = z + 6; h = r + 10; f = d + 19; p = k + 20. If r = 14, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 10 to n, which gives n = v + 28.\n2. Substitute v = j + 5 to n, which gives n = j + 33.\n3. Substitute j = z + 6 to n, which gives n = z + 39.\n4. Substitute z = h + 3 to n, which gives n = h + 42.\n5. Substitute h = r + 10 to n, which gives n = r + 52.\n6. Substitute r = 14 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 2486,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 14; z = h + 3; n = q + 18; v = j + 5; b = p + 16; d = x + 20; x = b + 15; q = v + 10; k = r + 5; j = z + 6; h = r + 10; f = d + 19; p = k + 20. If r = 14, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 14", "n": "v + 15", "a": "n + 12", "b": "a + 7", "x": "b + 2", "y": "x + 10", "z": "d + 17", "r": "z + 9", "w": "r + 5", "f": "w + 7", "p": "f + 3", "q": "p + 2", "d": 4}, "premises": {"d": 4}, "target": "y"}, "answer": {"steps": [["x", "b + 2", "b + 12"], ["b", "a + 7", "a + 19"], ["a", "n + 12", "n + 31"], ["n", "v + 15", "v + 46"], ["v", "d + 14", "d + 60"], ["d", 4, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"d": 4}, "is_reverse": true}}
| 2,487
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 3; x = b + 2; f = w + 7; z = d + 17; d = 4; y = x + 10; v = d + 14; b = a + 7; n = v + 15; r = z + 9; w = r + 5; q = p + 2; a = n + 12. Given that d = 4, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 2 to y, which gives y = b + 12.\n2. Substitute b = a + 7 to y, which gives y = a + 19.\n3. Substitute a = n + 12 to y, which gives y = n + 31.\n4. Substitute n = v + 15 to y, which gives y = v + 46.\n5. Substitute v = d + 14 to y, which gives y = d + 60.\n6. Substitute d = 4 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 2487,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 3; x = b + 2; f = w + 7; z = d + 17; d = 4; y = x + 10; v = d + 14; b = a + 7; n = v + 15; r = z + 9; w = r + 5; q = p + 2; a = n + 12. Given that d = 4, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 9", "h": "v + 20", "s": "h + 11", "a": "s + 2", "g": "a + 5", "u": "g + 4", "z": "r + 4", "b": "z + 7", "q": "b + 10", "k": "q + 18", "p": "k + 9", "t": "p + 13", "r": 6}, "premises": {"r": 6}, "target": "u"}, "answer": {"steps": [["g", "a + 5", "a + 9"], ["a", "s + 2", "s + 11"], ["s", "h + 11", "h + 22"], ["h", "v + 20", "v + 42"], ["v", "r + 9", "r + 51"], ["r", 6, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"r": 6}, "is_reverse": true}}
| 2,488
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 7; k = q + 18; q = b + 10; s = h + 11; r = 6; t = p + 13; h = v + 20; u = g + 4; g = a + 5; z = r + 4; p = k + 9; v = r + 9; a = s + 2. Given that r = 6, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 5 to u, which gives u = a + 9.\n2. Substitute a = s + 2 to u, which gives u = s + 11.\n3. Substitute s = h + 11 to u, which gives u = h + 22.\n4. Substitute h = v + 20 to u, which gives u = v + 42.\n5. Substitute v = r + 9 to u, which gives u = r + 51.\n6. Substitute r = 6 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 2488,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 7; k = q + 18; q = b + 10; s = h + 11; r = 6; t = p + 13; h = v + 20; u = g + 4; g = a + 5; z = r + 4; p = k + 9; v = r + 9; a = s + 2. Given that r = 6, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "e + 9", "d": "h + 11", "i": "d + 5", "y": "i + 18", "x": "y + 4", "p": "x + 9", "o": "e + 3", "v": "o + 5", "n": "v + 1", "t": "n + 16", "r": "t + 1", "l": "r + 2", "e": 20}, "premises": {"e": 20}, "target": "p"}, "answer": {"steps": [["x", "y + 4", "y + 13"], ["y", "i + 18", "i + 31"], ["i", "d + 5", "d + 36"], ["d", "h + 11", "h + 47"], ["h", "e + 9", "e + 56"], ["e", 20, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"e": 20}, "is_reverse": true}}
| 2,489
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = n + 16; n = v + 1; y = i + 18; h = e + 9; v = o + 5; l = r + 2; i = d + 5; e = 20; x = y + 4; o = e + 3; d = h + 11; r = t + 1; p = x + 9. Given that e = 20, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 4 to p, which gives p = y + 13.\n2. Substitute y = i + 18 to p, which gives p = i + 31.\n3. Substitute i = d + 5 to p, which gives p = d + 36.\n4. Substitute d = h + 11 to p, which gives p = h + 47.\n5. Substitute h = e + 9 to p, which gives p = e + 56.\n6. Substitute e = 20 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 2489,
"question": "Suppose a collection of variables is related by the following definitions: t = n + 16; n = v + 1; y = i + 18; h = e + 9; v = o + 5; l = r + 2; i = d + 5; e = 20; x = y + 4; o = e + 3; d = h + 11; r = t + 1; p = x + 9. Given that e = 20, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 9", "i": "u + 17", "c": "i + 7", "d": "c + 3", "g": "d + 6", "m": "g + 7", "v": "b + 2", "o": "v + 13", "q": "o + 15", "f": "q + 15", "y": "f + 11", "n": "y + 1", "b": 20}, "premises": {"b": 20}, "target": "m"}, "answer": {"steps": [["g", "d + 6", "d + 13"], ["d", "c + 3", "c + 16"], ["c", "i + 7", "i + 23"], ["i", "u + 17", "u + 40"], ["u", "b + 9", "b + 49"], ["b", 20, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"b": 20}, "is_reverse": true}}
| 2,490
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 6; o = v + 13; v = b + 2; d = c + 3; b = 20; q = o + 15; n = y + 1; i = u + 17; c = i + 7; y = f + 11; m = g + 7; f = q + 15; u = b + 9. If b = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 6 to m, which gives m = d + 13.\n2. Substitute d = c + 3 to m, which gives m = c + 16.\n3. Substitute c = i + 7 to m, which gives m = i + 23.\n4. Substitute i = u + 17 to m, which gives m = u + 40.\n5. Substitute u = b + 9 to m, which gives m = b + 49.\n6. Substitute b = 20 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 2490,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = d + 6; o = v + 13; v = b + 2; d = c + 3; b = 20; q = o + 15; n = y + 1; i = u + 17; c = i + 7; y = f + 11; m = g + 7; f = q + 15; u = b + 9. If b = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 7", "u": "h + 16", "p": "u + 4", "w": "p + 1", "e": "w + 8", "z": "e + 5", "j": "n + 15", "b": "j + 2", "c": "b + 15", "o": "c + 8", "g": "o + 6", "l": "g + 2", "n": 1}, "premises": {"n": 1}, "target": "z"}, "answer": {"steps": [["e", "w + 8", "w + 13"], ["w", "p + 1", "p + 14"], ["p", "u + 4", "u + 18"], ["u", "h + 16", "h + 34"], ["h", "n + 7", "n + 41"], ["n", 1, "42"]], "target_var_name": "z", "target_value": 42, "value_dict": {"n": 1}, "is_reverse": true}}
| 2,491
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 15; u = h + 16; e = w + 8; h = n + 7; o = c + 8; l = g + 2; j = n + 15; p = u + 4; z = e + 5; w = p + 1; b = j + 2; n = 1; g = o + 6. If n = 1, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 8 to z, which gives z = w + 13.\n2. Substitute w = p + 1 to z, which gives z = p + 14.\n3. Substitute p = u + 4 to z, which gives z = u + 18.\n4. Substitute u = h + 16 to z, which gives z = h + 34.\n5. Substitute h = n + 7 to z, which gives z = n + 41.\n6. Substitute n = 1 to z, which gives z = 42.\n\nThus, the final answer is z = \\boxed{42}.",
"index": 2491,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 15; u = h + 16; e = w + 8; h = n + 7; o = c + 8; l = g + 2; j = n + 15; p = u + 4; z = e + 5; w = p + 1; b = j + 2; n = 1; g = o + 6. If n = 1, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 11", "f": "p + 17", "t": "f + 14", "r": "t + 11", "m": "r + 8", "e": "m + 7", "i": "b + 5", "y": "i + 16", "k": "y + 9", "x": "k + 12", "w": "x + 10", "q": "w + 7", "b": 20}, "premises": {"b": 20}, "target": "e"}, "answer": {"steps": [["m", "r + 8", "r + 15"], ["r", "t + 11", "t + 26"], ["t", "f + 14", "f + 40"], ["f", "p + 17", "p + 57"], ["p", "b + 11", "b + 68"], ["b", 20, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"b": 20}, "is_reverse": true}}
| 2,492
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = 20; f = p + 17; k = y + 9; w = x + 10; e = m + 7; t = f + 14; m = r + 8; q = w + 7; i = b + 5; y = i + 16; x = k + 12; p = b + 11; r = t + 11. Given that b = 20, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 8 to e, which gives e = r + 15.\n2. Substitute r = t + 11 to e, which gives e = t + 26.\n3. Substitute t = f + 14 to e, which gives e = f + 40.\n4. Substitute f = p + 17 to e, which gives e = p + 57.\n5. Substitute p = b + 11 to e, which gives e = b + 68.\n6. Substitute b = 20 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 2492,
"question": "Suppose a collection of variables is related by the following definitions: b = 20; f = p + 17; k = y + 9; w = x + 10; e = m + 7; t = f + 14; m = r + 8; q = w + 7; i = b + 5; y = i + 16; x = k + 12; p = b + 11; r = t + 11. Given that b = 20, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 8", "t": "d + 10", "v": "t + 10", "w": "v + 7", "y": "w + 20", "r": "y + 10", "e": "i + 12", "o": "e + 20", "j": "o + 6", "l": "j + 7", "u": "l + 1", "n": "u + 19", "i": 18}, "premises": {"i": 18}, "target": "r"}, "answer": {"steps": [["y", "w + 20", "w + 30"], ["w", "v + 7", "v + 37"], ["v", "t + 10", "t + 47"], ["t", "d + 10", "d + 57"], ["d", "i + 8", "i + 65"], ["i", 18, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"i": 18}, "is_reverse": true}}
| 2,493
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 10; j = o + 6; r = y + 10; o = e + 20; w = v + 7; l = j + 7; e = i + 12; d = i + 8; y = w + 20; i = 18; n = u + 19; u = l + 1; v = t + 10. If i = 18, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 20 to r, which gives r = w + 30.\n2. Substitute w = v + 7 to r, which gives r = v + 37.\n3. Substitute v = t + 10 to r, which gives r = t + 47.\n4. Substitute t = d + 10 to r, which gives r = d + 57.\n5. Substitute d = i + 8 to r, which gives r = i + 65.\n6. Substitute i = 18 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 2493,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 10; j = o + 6; r = y + 10; o = e + 20; w = v + 7; l = j + 7; e = i + 12; d = i + 8; y = w + 20; i = 18; n = u + 19; u = l + 1; v = t + 10. If i = 18, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 9", "d": "w + 9", "h": "d + 9", "o": "h + 12", "v": "o + 13", "e": "v + 1", "y": "a + 19", "c": "y + 19", "n": "c + 5", "m": "n + 20", "b": "m + 9", "x": "b + 10", "a": 9}, "premises": {"a": 9}, "target": "e"}, "answer": {"steps": [["v", "o + 13", "o + 14"], ["o", "h + 12", "h + 26"], ["h", "d + 9", "d + 35"], ["d", "w + 9", "w + 44"], ["w", "a + 9", "a + 53"], ["a", 9, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"a": 9}, "is_reverse": true}}
| 2,494
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 10; w = a + 9; d = w + 9; m = n + 20; y = a + 19; n = c + 5; e = v + 1; b = m + 9; a = 9; c = y + 19; o = h + 12; h = d + 9; v = o + 13. If a = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 13 to e, which gives e = o + 14.\n2. Substitute o = h + 12 to e, which gives e = h + 26.\n3. Substitute h = d + 9 to e, which gives e = d + 35.\n4. Substitute d = w + 9 to e, which gives e = w + 44.\n5. Substitute w = a + 9 to e, which gives e = a + 53.\n6. Substitute a = 9 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 2494,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 10; w = a + 9; d = w + 9; m = n + 20; y = a + 19; n = c + 5; e = v + 1; b = m + 9; a = 9; c = y + 19; o = h + 12; h = d + 9; v = o + 13. If a = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 20", "g": "m + 5", "w": "g + 16", "j": "w + 9", "o": "j + 13", "l": "o + 5", "v": "e + 18", "q": "v + 15", "k": "q + 1", "h": "k + 17", "u": "h + 10", "d": "u + 3", "e": 7}, "premises": {"e": 7}, "target": "l"}, "answer": {"steps": [["o", "j + 13", "j + 18"], ["j", "w + 9", "w + 27"], ["w", "g + 16", "g + 43"], ["g", "m + 5", "m + 48"], ["m", "e + 20", "e + 68"], ["e", 7, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"e": 7}, "is_reverse": true}}
| 2,495
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 16; m = e + 20; d = u + 3; g = m + 5; k = q + 1; o = j + 13; j = w + 9; v = e + 18; e = 7; l = o + 5; u = h + 10; q = v + 15; h = k + 17. Given that e = 7, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 13 to l, which gives l = j + 18.\n2. Substitute j = w + 9 to l, which gives l = w + 27.\n3. Substitute w = g + 16 to l, which gives l = g + 43.\n4. Substitute g = m + 5 to l, which gives l = m + 48.\n5. Substitute m = e + 20 to l, which gives l = e + 68.\n6. Substitute e = 7 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 2495,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 16; m = e + 20; d = u + 3; g = m + 5; k = q + 1; o = j + 13; j = w + 9; v = e + 18; e = 7; l = o + 5; u = h + 10; q = v + 15; h = k + 17. Given that e = 7, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 4", "u": "f + 12", "r": "u + 9", "m": "r + 8", "c": "m + 2", "t": "c + 10", "i": "o + 5", "k": "i + 5", "s": "k + 2", "e": "s + 16", "b": "e + 2", "g": "b + 18", "o": 10}, "premises": {"o": 10}, "target": "t"}, "answer": {"steps": [["c", "m + 2", "m + 12"], ["m", "r + 8", "r + 20"], ["r", "u + 9", "u + 29"], ["u", "f + 12", "f + 41"], ["f", "o + 4", "o + 45"], ["o", 10, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"o": 10}, "is_reverse": true}}
| 2,496
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 5; k = i + 5; b = e + 2; m = r + 8; s = k + 2; g = b + 18; c = m + 2; t = c + 10; r = u + 9; e = s + 16; f = o + 4; o = 10; u = f + 12. Given that o = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 2 to t, which gives t = m + 12.\n2. Substitute m = r + 8 to t, which gives t = r + 20.\n3. Substitute r = u + 9 to t, which gives t = u + 29.\n4. Substitute u = f + 12 to t, which gives t = f + 41.\n5. Substitute f = o + 4 to t, which gives t = o + 45.\n6. Substitute o = 10 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 2496,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 5; k = i + 5; b = e + 2; m = r + 8; s = k + 2; g = b + 18; c = m + 2; t = c + 10; r = u + 9; e = s + 16; f = o + 4; o = 10; u = f + 12. Given that o = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "p + 14", "o": "v + 5", "d": "o + 9", "q": "d + 4", "k": "q + 8", "e": "k + 13", "r": "p + 14", "z": "r + 9", "m": "z + 5", "i": "m + 17", "n": "i + 18", "f": "n + 7", "p": 5}, "premises": {"p": 5}, "target": "e"}, "answer": {"steps": [["k", "q + 8", "q + 21"], ["q", "d + 4", "d + 25"], ["d", "o + 9", "o + 34"], ["o", "v + 5", "v + 39"], ["v", "p + 14", "p + 53"], ["p", 5, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"p": 5}, "is_reverse": true}}
| 2,497
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 9; m = z + 5; v = p + 14; f = n + 7; i = m + 17; r = p + 14; e = k + 13; p = 5; z = r + 9; n = i + 18; o = v + 5; q = d + 4; k = q + 8. If p = 5, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 8 to e, which gives e = q + 21.\n2. Substitute q = d + 4 to e, which gives e = d + 25.\n3. Substitute d = o + 9 to e, which gives e = o + 34.\n4. Substitute o = v + 5 to e, which gives e = v + 39.\n5. Substitute v = p + 14 to e, which gives e = p + 53.\n6. Substitute p = 5 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 2497,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 9; m = z + 5; v = p + 14; f = n + 7; i = m + 17; r = p + 14; e = k + 13; p = 5; z = r + 9; n = i + 18; o = v + 5; q = d + 4; k = q + 8. If p = 5, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "b + 1", "t": "h + 16", "z": "t + 1", "d": "z + 18", "p": "d + 12", "v": "p + 3", "f": "b + 9", "o": "f + 16", "j": "o + 5", "c": "j + 20", "r": "c + 9", "l": "r + 5", "b": 14}, "premises": {"b": 14}, "target": "v"}, "answer": {"steps": [["p", "d + 12", "d + 15"], ["d", "z + 18", "z + 33"], ["z", "t + 1", "t + 34"], ["t", "h + 16", "h + 50"], ["h", "b + 1", "b + 51"], ["b", 14, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"b": 14}, "is_reverse": true}}
| 2,498
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 5; p = d + 12; d = z + 18; v = p + 3; b = 14; t = h + 16; r = c + 9; o = f + 16; z = t + 1; c = j + 20; f = b + 9; h = b + 1; l = r + 5. Given that b = 14, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 12 to v, which gives v = d + 15.\n2. Substitute d = z + 18 to v, which gives v = z + 33.\n3. Substitute z = t + 1 to v, which gives v = t + 34.\n4. Substitute t = h + 16 to v, which gives v = h + 50.\n5. Substitute h = b + 1 to v, which gives v = b + 51.\n6. Substitute b = 14 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 2498,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 5; p = d + 12; d = z + 18; v = p + 3; b = 14; t = h + 16; r = c + 9; o = f + 16; z = t + 1; c = j + 20; f = b + 9; h = b + 1; l = r + 5. Given that b = 14, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"i": "g + 18", "x": "i + 16", "b": "x + 9", "o": "b + 19", "e": "o + 10", "c": "e + 18", "k": "g + 6", "p": "k + 15", "r": "p + 1", "q": "r + 7", "n": "q + 8", "u": "n + 8", "g": 15}, "premises": {"g": 15}, "target": "c"}, "answer": {"steps": [["e", "o + 10", "o + 28"], ["o", "b + 19", "b + 47"], ["b", "x + 9", "x + 56"], ["x", "i + 16", "i + 72"], ["i", "g + 18", "g + 90"], ["g", 15, "105"]], "target_var_name": "c", "target_value": 105, "value_dict": {"g": 15}, "is_reverse": true}}
| 2,499
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = k + 15; u = n + 8; n = q + 8; r = p + 1; x = i + 16; e = o + 10; q = r + 7; c = e + 18; i = g + 18; g = 15; b = x + 9; k = g + 6; o = b + 19. Given that g = 15, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 10 to c, which gives c = o + 28.\n2. Substitute o = b + 19 to c, which gives c = b + 47.\n3. Substitute b = x + 9 to c, which gives c = x + 56.\n4. Substitute x = i + 16 to c, which gives c = i + 72.\n5. Substitute i = g + 18 to c, which gives c = g + 90.\n6. Substitute g = 15 to c, which gives c = 105.\n\nThus, the final answer is c = \\boxed{105}.",
"index": 2499,
"question": "Suppose a collection of variables is related by the following definitions: p = k + 15; u = n + 8; n = q + 8; r = p + 1; x = i + 16; e = o + 10; q = r + 7; c = e + 18; i = g + 18; g = 15; b = x + 9; k = g + 6; o = b + 19. Given that g = 15, find the value of c.",
"split": "train"
}
|
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