meta
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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
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| ability
stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "j + 9", "v": "m + 13", "i": "v + 17", "s": "i + 2", "c": "s + 20", "q": "c + 9", "l": "j + 2", "w": "l + 19", "f": "w + 14", "k": "f + 18", "r": "k + 5", "t": "r + 4", "j": 9}, "premises": {"j": 9}, "target": "q"}, "answer": {"steps": [["c", "s + 20", "s + 29"], ["s", "i + 2", "i + 31"], ["i", "v + 17", "v + 48"], ["v", "m + 13", "m + 61"], ["m", "j + 9", "j + 70"], ["j", 9, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"j": 9}, "is_reverse": true}}
| 1,000
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 18; i = v + 17; t = r + 4; v = m + 13; c = s + 20; m = j + 9; f = w + 14; q = c + 9; l = j + 2; r = k + 5; j = 9; w = l + 19; s = i + 2. If j = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 20 to q, which gives q = s + 29.\n2. Substitute s = i + 2 to q, which gives q = i + 31.\n3. Substitute i = v + 17 to q, which gives q = v + 48.\n4. Substitute v = m + 13 to q, which gives q = m + 61.\n5. Substitute m = j + 9 to q, which gives q = j + 70.\n6. Substitute j = 9 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 1000,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 18; i = v + 17; t = r + 4; v = m + 13; c = s + 20; m = j + 9; f = w + 14; q = c + 9; l = j + 2; r = k + 5; j = 9; w = l + 19; s = i + 2. If j = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 13", "y": "z + 19", "l": "y + 15", "v": "l + 20", "c": "v + 9", "s": "c + 17", "r": "t + 15", "h": "r + 19", "i": "h + 5", "p": "i + 10", "u": "p + 13", "f": "u + 10", "t": 4}, "premises": {"t": 4}, "target": "s"}, "answer": {"steps": [["c", "v + 9", "v + 26"], ["v", "l + 20", "l + 46"], ["l", "y + 15", "y + 61"], ["y", "z + 19", "z + 80"], ["z", "t + 13", "t + 93"], ["t", 4, "97"]], "target_var_name": "s", "target_value": 97, "value_dict": {"t": 4}, "is_reverse": true}}
| 1,001
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 10; i = h + 5; u = p + 13; s = c + 17; v = l + 20; c = v + 9; r = t + 15; y = z + 19; p = i + 10; h = r + 19; l = y + 15; z = t + 13; t = 4. Given that t = 4, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 9 to s, which gives s = v + 26.\n2. Substitute v = l + 20 to s, which gives s = l + 46.\n3. Substitute l = y + 15 to s, which gives s = y + 61.\n4. Substitute y = z + 19 to s, which gives s = z + 80.\n5. Substitute z = t + 13 to s, which gives s = t + 93.\n6. Substitute t = 4 to s, which gives s = 97.\n\nThus, the final answer is s = \\boxed{97}.",
"index": 1001,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 10; i = h + 5; u = p + 13; s = c + 17; v = l + 20; c = v + 9; r = t + 15; y = z + 19; p = i + 10; h = r + 19; l = y + 15; z = t + 13; t = 4. Given that t = 4, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "m + 14", "r": "n + 12", "y": "r + 7", "l": "y + 3", "i": "l + 6", "p": "i + 12", "j": "m + 2", "w": "j + 8", "b": "w + 14", "s": "b + 2", "v": "s + 15", "o": "v + 9", "m": 16}, "premises": {"m": 16}, "target": "p"}, "answer": {"steps": [["i", "l + 6", "l + 18"], ["l", "y + 3", "y + 21"], ["y", "r + 7", "r + 28"], ["r", "n + 12", "n + 40"], ["n", "m + 14", "m + 54"], ["m", 16, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"m": 16}, "is_reverse": true}}
| 1,002
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 3; w = j + 8; r = n + 12; s = b + 2; o = v + 9; i = l + 6; n = m + 14; y = r + 7; v = s + 15; b = w + 14; j = m + 2; p = i + 12; m = 16. Given that m = 16, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = l + 6 to p, which gives p = l + 18.\n2. Substitute l = y + 3 to p, which gives p = y + 21.\n3. Substitute y = r + 7 to p, which gives p = r + 28.\n4. Substitute r = n + 12 to p, which gives p = n + 40.\n5. Substitute n = m + 14 to p, which gives p = m + 54.\n6. Substitute m = 16 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 1002,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 3; w = j + 8; r = n + 12; s = b + 2; o = v + 9; i = l + 6; n = m + 14; y = r + 7; v = s + 15; b = w + 14; j = m + 2; p = i + 12; m = 16. Given that m = 16, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"w": "u + 2", "i": "w + 3", "v": "i + 19", "x": "v + 10", "k": "x + 7", "a": "k + 19", "j": "u + 15", "s": "j + 15", "m": "s + 3", "p": "m + 13", "e": "p + 5", "h": "e + 9", "u": 18}, "premises": {"u": 18}, "target": "a"}, "answer": {"steps": [["k", "x + 7", "x + 26"], ["x", "v + 10", "v + 36"], ["v", "i + 19", "i + 55"], ["i", "w + 3", "w + 58"], ["w", "u + 2", "u + 60"], ["u", 18, "78"]], "target_var_name": "a", "target_value": 78, "value_dict": {"u": 18}, "is_reverse": true}}
| 1,003
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = x + 7; h = e + 9; e = p + 5; a = k + 19; m = s + 3; i = w + 3; s = j + 15; v = i + 19; j = u + 15; p = m + 13; w = u + 2; u = 18; x = v + 10. Given that u = 18, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 7 to a, which gives a = x + 26.\n2. Substitute x = v + 10 to a, which gives a = v + 36.\n3. Substitute v = i + 19 to a, which gives a = i + 55.\n4. Substitute i = w + 3 to a, which gives a = w + 58.\n5. Substitute w = u + 2 to a, which gives a = u + 60.\n6. Substitute u = 18 to a, which gives a = 78.\n\nThus, the final answer is a = \\boxed{78}.",
"index": 1003,
"question": "Suppose a collection of variables is related by the following definitions: k = x + 7; h = e + 9; e = p + 5; a = k + 19; m = s + 3; i = w + 3; s = j + 15; v = i + 19; j = u + 15; p = m + 13; w = u + 2; u = 18; x = v + 10. Given that u = 18, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 10", "d": "s + 15", "j": "d + 20", "k": "j + 19", "b": "k + 7", "h": "b + 5", "c": "q + 19", "e": "c + 17", "y": "e + 14", "w": "y + 1", "u": "w + 19", "f": "u + 17", "q": 3}, "premises": {"q": 3}, "target": "h"}, "answer": {"steps": [["b", "k + 7", "k + 12"], ["k", "j + 19", "j + 31"], ["j", "d + 20", "d + 51"], ["d", "s + 15", "s + 66"], ["s", "q + 10", "q + 76"], ["q", 3, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"q": 3}, "is_reverse": true}}
| 1,004
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = d + 20; q = 3; b = k + 7; d = s + 15; w = y + 1; s = q + 10; h = b + 5; k = j + 19; f = u + 17; c = q + 19; y = e + 14; u = w + 19; e = c + 17. If q = 3, 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 b = k + 7 to h, which gives h = k + 12.\n2. Substitute k = j + 19 to h, which gives h = j + 31.\n3. Substitute j = d + 20 to h, which gives h = d + 51.\n4. Substitute d = s + 15 to h, which gives h = s + 66.\n5. Substitute s = q + 10 to h, which gives h = q + 76.\n6. Substitute q = 3 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 1004,
"question": "Consider a system of variables where each variable is defined as follows: j = d + 20; q = 3; b = k + 7; d = s + 15; w = y + 1; s = q + 10; h = b + 5; k = j + 19; f = u + 17; c = q + 19; y = e + 14; u = w + 19; e = c + 17. If q = 3, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 2", "s": "h + 12", "c": "s + 18", "e": "c + 3", "j": "e + 15", "g": "j + 17", "t": "d + 4", "q": "t + 9", "a": "q + 17", "l": "a + 16", "y": "l + 4", "p": "y + 3", "d": 2}, "premises": {"d": 2}, "target": "g"}, "answer": {"steps": [["j", "e + 15", "e + 32"], ["e", "c + 3", "c + 35"], ["c", "s + 18", "s + 53"], ["s", "h + 12", "h + 65"], ["h", "d + 2", "d + 67"], ["d", 2, "69"]], "target_var_name": "g", "target_value": 69, "value_dict": {"d": 2}, "is_reverse": true}}
| 1,005
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = d + 2; c = s + 18; e = c + 3; p = y + 3; s = h + 12; l = a + 16; q = t + 9; a = q + 17; d = 2; j = e + 15; y = l + 4; g = j + 17; t = d + 4. Given that d = 2, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 15 to g, which gives g = e + 32.\n2. Substitute e = c + 3 to g, which gives g = c + 35.\n3. Substitute c = s + 18 to g, which gives g = s + 53.\n4. Substitute s = h + 12 to g, which gives g = h + 65.\n5. Substitute h = d + 2 to g, which gives g = d + 67.\n6. Substitute d = 2 to g, which gives g = 69.\n\nThus, the final answer is g = \\boxed{69}.",
"index": 1005,
"question": "Suppose a collection of variables is related by the following definitions: h = d + 2; c = s + 18; e = c + 3; p = y + 3; s = h + 12; l = a + 16; q = t + 9; a = q + 17; d = 2; j = e + 15; y = l + 4; g = j + 17; t = d + 4. Given that d = 2, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 19", "v": "k + 7", "j": "v + 4", "s": "j + 1", "w": "s + 11", "n": "w + 1", "z": "m + 10", "r": "z + 8", "c": "r + 9", "f": "c + 7", "t": "f + 18", "p": "t + 10", "m": 7}, "premises": {"m": 7}, "target": "n"}, "answer": {"steps": [["w", "s + 11", "s + 12"], ["s", "j + 1", "j + 13"], ["j", "v + 4", "v + 17"], ["v", "k + 7", "k + 24"], ["k", "m + 19", "m + 43"], ["m", 7, "50"]], "target_var_name": "n", "target_value": 50, "value_dict": {"m": 7}, "is_reverse": true}}
| 1,006
| 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 = w + 1; r = z + 8; z = m + 10; k = m + 19; t = f + 18; s = j + 1; f = c + 7; j = v + 4; p = t + 10; c = r + 9; w = s + 11; v = k + 7; m = 7. If m = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 11 to n, which gives n = s + 12.\n2. Substitute s = j + 1 to n, which gives n = j + 13.\n3. Substitute j = v + 4 to n, which gives n = v + 17.\n4. Substitute v = k + 7 to n, which gives n = k + 24.\n5. Substitute k = m + 19 to n, which gives n = m + 43.\n6. Substitute m = 7 to n, which gives n = 50.\n\nThus, the final answer is n = \\boxed{50}.",
"index": 1006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = w + 1; r = z + 8; z = m + 10; k = m + 19; t = f + 18; s = j + 1; f = c + 7; j = v + 4; p = t + 10; c = r + 9; w = s + 11; v = k + 7; m = 7. If m = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 5", "i": "s + 8", "d": "i + 3", "p": "d + 11", "y": "p + 3", "j": "y + 18", "o": "k + 7", "q": "o + 1", "e": "q + 4", "c": "e + 1", "l": "c + 16", "b": "l + 10", "k": 4}, "premises": {"k": 4}, "target": "j"}, "answer": {"steps": [["y", "p + 3", "p + 21"], ["p", "d + 11", "d + 32"], ["d", "i + 3", "i + 35"], ["i", "s + 8", "s + 43"], ["s", "k + 5", "k + 48"], ["k", 4, "52"]], "target_var_name": "j", "target_value": 52, "value_dict": {"k": 4}, "is_reverse": true}}
| 1,007
| 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 = e + 1; i = s + 8; p = d + 11; d = i + 3; b = l + 10; o = k + 7; y = p + 3; j = y + 18; e = q + 4; s = k + 5; q = o + 1; l = c + 16; k = 4. If k = 4, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 3 to j, which gives j = p + 21.\n2. Substitute p = d + 11 to j, which gives j = d + 32.\n3. Substitute d = i + 3 to j, which gives j = i + 35.\n4. Substitute i = s + 8 to j, which gives j = s + 43.\n5. Substitute s = k + 5 to j, which gives j = k + 48.\n6. Substitute k = 4 to j, which gives j = 52.\n\nThus, the final answer is j = \\boxed{52}.",
"index": 1007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = e + 1; i = s + 8; p = d + 11; d = i + 3; b = l + 10; o = k + 7; y = p + 3; j = y + 18; e = q + 4; s = k + 5; q = o + 1; l = c + 16; k = 4. If k = 4, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 3", "t": "q + 13", "m": "t + 20", "c": "m + 11", "j": "c + 16", "f": "j + 17", "e": "i + 8", "v": "e + 14", "h": "v + 17", "n": "h + 17", "u": "n + 1", "r": "u + 14", "i": 17}, "premises": {"i": 17}, "target": "f"}, "answer": {"steps": [["j", "c + 16", "c + 33"], ["c", "m + 11", "m + 44"], ["m", "t + 20", "t + 64"], ["t", "q + 13", "q + 77"], ["q", "i + 3", "i + 80"], ["i", 17, "97"]], "target_var_name": "f", "target_value": 97, "value_dict": {"i": 17}, "is_reverse": true}}
| 1,008
| 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 + 8; m = t + 20; q = i + 3; u = n + 1; i = 17; n = h + 17; t = q + 13; f = j + 17; j = c + 16; v = e + 14; r = u + 14; h = v + 17; c = m + 11. If i = 17, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 16 to f, which gives f = c + 33.\n2. Substitute c = m + 11 to f, which gives f = m + 44.\n3. Substitute m = t + 20 to f, which gives f = t + 64.\n4. Substitute t = q + 13 to f, which gives f = q + 77.\n5. Substitute q = i + 3 to f, which gives f = i + 80.\n6. Substitute i = 17 to f, which gives f = 97.\n\nThus, the final answer is f = \\boxed{97}.",
"index": 1008,
"question": "Consider a system of variables where each variable is defined as follows: e = i + 8; m = t + 20; q = i + 3; u = n + 1; i = 17; n = h + 17; t = q + 13; f = j + 17; j = c + 16; v = e + 14; r = u + 14; h = v + 17; c = m + 11. If i = 17, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 2", "k": "s + 17", "d": "k + 17", "u": "d + 4", "c": "u + 13", "z": "c + 16", "y": "l + 7", "p": "y + 19", "h": "p + 5", "f": "h + 6", "n": "f + 16", "x": "n + 11", "l": 8}, "premises": {"l": 8}, "target": "z"}, "answer": {"steps": [["c", "u + 13", "u + 29"], ["u", "d + 4", "d + 33"], ["d", "k + 17", "k + 50"], ["k", "s + 17", "s + 67"], ["s", "l + 2", "l + 69"], ["l", 8, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"l": 8}, "is_reverse": true}}
| 1,009
| 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 = d + 4; p = y + 19; z = c + 16; x = n + 11; s = l + 2; k = s + 17; l = 8; c = u + 13; f = h + 6; h = p + 5; d = k + 17; y = l + 7; n = f + 16. If l = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 13 to z, which gives z = u + 29.\n2. Substitute u = d + 4 to z, which gives z = d + 33.\n3. Substitute d = k + 17 to z, which gives z = k + 50.\n4. Substitute k = s + 17 to z, which gives z = s + 67.\n5. Substitute s = l + 2 to z, which gives z = l + 69.\n6. Substitute l = 8 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 1009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = d + 4; p = y + 19; z = c + 16; x = n + 11; s = l + 2; k = s + 17; l = 8; c = u + 13; f = h + 6; h = p + 5; d = k + 17; y = l + 7; n = f + 16. If l = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 10", "e": "k + 5", "i": "e + 17", "d": "i + 13", "a": "d + 14", "j": "a + 20", "t": "z + 3", "m": "t + 15", "g": "m + 3", "x": "g + 11", "l": "x + 1", "y": "l + 20", "z": 10}, "premises": {"z": 10}, "target": "j"}, "answer": {"steps": [["a", "d + 14", "d + 34"], ["d", "i + 13", "i + 47"], ["i", "e + 17", "e + 64"], ["e", "k + 5", "k + 69"], ["k", "z + 10", "z + 79"], ["z", 10, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"z": 10}, "is_reverse": true}}
| 1,010
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = z + 10; e = k + 5; a = d + 14; j = a + 20; i = e + 17; z = 10; g = m + 3; l = x + 1; m = t + 15; y = l + 20; d = i + 13; x = g + 11; t = z + 3. If z = 10, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 14 to j, which gives j = d + 34.\n2. Substitute d = i + 13 to j, which gives j = i + 47.\n3. Substitute i = e + 17 to j, which gives j = e + 64.\n4. Substitute e = k + 5 to j, which gives j = k + 69.\n5. Substitute k = z + 10 to j, which gives j = z + 79.\n6. Substitute z = 10 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 1010,
"question": "Consider a system of variables where each variable is defined as follows: k = z + 10; e = k + 5; a = d + 14; j = a + 20; i = e + 17; z = 10; g = m + 3; l = x + 1; m = t + 15; y = l + 20; d = i + 13; x = g + 11; t = z + 3. If z = 10, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"k": "r + 7", "x": "k + 14", "a": "x + 4", "t": "a + 8", "s": "t + 20", "h": "s + 11", "v": "r + 2", "l": "v + 7", "p": "l + 2", "g": "p + 4", "z": "g + 10", "o": "z + 19", "r": 18}, "premises": {"r": 18}, "target": "h"}, "answer": {"steps": [["s", "t + 20", "t + 31"], ["t", "a + 8", "a + 39"], ["a", "x + 4", "x + 43"], ["x", "k + 14", "k + 57"], ["k", "r + 7", "r + 64"], ["r", 18, "82"]], "target_var_name": "h", "target_value": 82, "value_dict": {"r": 18}, "is_reverse": true}}
| 1,011
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 18; p = l + 2; x = k + 14; l = v + 7; g = p + 4; z = g + 10; t = a + 8; k = r + 7; o = z + 19; v = r + 2; a = x + 4; s = t + 20; h = s + 11. Given that r = 18, find 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 s = t + 20 to h, which gives h = t + 31.\n2. Substitute t = a + 8 to h, which gives h = a + 39.\n3. Substitute a = x + 4 to h, which gives h = x + 43.\n4. Substitute x = k + 14 to h, which gives h = k + 57.\n5. Substitute k = r + 7 to h, which gives h = r + 64.\n6. Substitute r = 18 to h, which gives h = 82.\n\nThus, the final answer is h = \\boxed{82}.",
"index": 1011,
"question": "Suppose a collection of variables is related by the following definitions: r = 18; p = l + 2; x = k + 14; l = v + 7; g = p + 4; z = g + 10; t = a + 8; k = r + 7; o = z + 19; v = r + 2; a = x + 4; s = t + 20; h = s + 11. Given that r = 18, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 10", "n": "z + 20", "c": "n + 5", "t": "c + 18", "l": "t + 1", "x": "l + 3", "f": "o + 15", "q": "f + 9", "j": "q + 19", "i": "j + 16", "w": "i + 4", "k": "w + 13", "o": 17}, "premises": {"o": 17}, "target": "x"}, "answer": {"steps": [["l", "t + 1", "t + 4"], ["t", "c + 18", "c + 22"], ["c", "n + 5", "n + 27"], ["n", "z + 20", "z + 47"], ["z", "o + 10", "o + 57"], ["o", 17, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"o": 17}, "is_reverse": true}}
| 1,012
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 19; t = c + 18; f = o + 15; c = n + 5; w = i + 4; l = t + 1; z = o + 10; k = w + 13; q = f + 9; x = l + 3; n = z + 20; o = 17; i = j + 16. If o = 17, 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 l = t + 1 to x, which gives x = t + 4.\n2. Substitute t = c + 18 to x, which gives x = c + 22.\n3. Substitute c = n + 5 to x, which gives x = n + 27.\n4. Substitute n = z + 20 to x, which gives x = z + 47.\n5. Substitute z = o + 10 to x, which gives x = o + 57.\n6. Substitute o = 17 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 1012,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = q + 19; t = c + 18; f = o + 15; c = n + 5; w = i + 4; l = t + 1; z = o + 10; k = w + 13; q = f + 9; x = l + 3; n = z + 20; o = 17; i = j + 16. If o = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 8", "b": "t + 1", "h": "b + 6", "a": "h + 13", "v": "a + 13", "q": "v + 6", "l": "y + 18", "i": "l + 10", "m": "i + 6", "d": "m + 12", "p": "d + 5", "x": "p + 2", "y": 9}, "premises": {"y": 9}, "target": "q"}, "answer": {"steps": [["v", "a + 13", "a + 19"], ["a", "h + 13", "h + 32"], ["h", "b + 6", "b + 38"], ["b", "t + 1", "t + 39"], ["t", "y + 8", "y + 47"], ["y", 9, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"y": 9}, "is_reverse": true}}
| 1,013
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; p = d + 5; a = h + 13; q = v + 6; m = i + 6; b = t + 1; h = b + 6; y = 9; v = a + 13; i = l + 10; l = y + 18; d = m + 12; x = p + 2. If y = 9, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 13 to q, which gives q = a + 19.\n2. Substitute a = h + 13 to q, which gives q = h + 32.\n3. Substitute h = b + 6 to q, which gives q = b + 38.\n4. Substitute b = t + 1 to q, which gives q = t + 39.\n5. Substitute t = y + 8 to q, which gives q = y + 47.\n6. Substitute y = 9 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 1013,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 8; p = d + 5; a = h + 13; q = v + 6; m = i + 6; b = t + 1; h = b + 6; y = 9; v = a + 13; i = l + 10; l = y + 18; d = m + 12; x = p + 2. If y = 9, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 7", "n": "v + 15", "b": "n + 6", "j": "b + 2", "p": "j + 13", "t": "p + 8", "w": "u + 4", "r": "w + 17", "s": "r + 2", "k": "s + 18", "d": "k + 1", "l": "d + 10", "u": 13}, "premises": {"u": 13}, "target": "t"}, "answer": {"steps": [["p", "j + 13", "j + 21"], ["j", "b + 2", "b + 23"], ["b", "n + 6", "n + 29"], ["n", "v + 15", "v + 44"], ["v", "u + 7", "u + 51"], ["u", 13, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"u": 13}, "is_reverse": true}}
| 1,014
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = k + 1; v = u + 7; s = r + 2; b = n + 6; l = d + 10; r = w + 17; u = 13; k = s + 18; j = b + 2; t = p + 8; n = v + 15; w = u + 4; p = j + 13. Given that u = 13, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 13 to t, which gives t = j + 21.\n2. Substitute j = b + 2 to t, which gives t = b + 23.\n3. Substitute b = n + 6 to t, which gives t = n + 29.\n4. Substitute n = v + 15 to t, which gives t = v + 44.\n5. Substitute v = u + 7 to t, which gives t = u + 51.\n6. Substitute u = 13 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 1014,
"question": "Suppose a collection of variables is related by the following definitions: d = k + 1; v = u + 7; s = r + 2; b = n + 6; l = d + 10; r = w + 17; u = 13; k = s + 18; j = b + 2; t = p + 8; n = v + 15; w = u + 4; p = j + 13. Given that u = 13, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 14", "x": "d + 7", "y": "x + 5", "v": "y + 18", "j": "v + 5", "u": "j + 8", "a": "o + 11", "t": "a + 5", "q": "t + 12", "f": "q + 17", "m": "f + 9", "b": "m + 18", "o": 12}, "premises": {"o": 12}, "target": "u"}, "answer": {"steps": [["j", "v + 5", "v + 13"], ["v", "y + 18", "y + 31"], ["y", "x + 5", "x + 36"], ["x", "d + 7", "d + 43"], ["d", "o + 14", "o + 57"], ["o", 12, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"o": 12}, "is_reverse": true}}
| 1,015
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = t + 12; u = j + 8; y = x + 5; x = d + 7; a = o + 11; t = a + 5; d = o + 14; j = v + 5; f = q + 17; b = m + 18; o = 12; m = f + 9; v = y + 18. Given that o = 12, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to u, which gives u = v + 13.\n2. Substitute v = y + 18 to u, which gives u = y + 31.\n3. Substitute y = x + 5 to u, which gives u = x + 36.\n4. Substitute x = d + 7 to u, which gives u = d + 43.\n5. Substitute d = o + 14 to u, which gives u = o + 57.\n6. Substitute o = 12 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 1015,
"question": "Suppose a collection of variables is related by the following definitions: q = t + 12; u = j + 8; y = x + 5; x = d + 7; a = o + 11; t = a + 5; d = o + 14; j = v + 5; f = q + 17; b = m + 18; o = 12; m = f + 9; v = y + 18. Given that o = 12, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 4", "j": "q + 17", "h": "j + 7", "r": "h + 15", "p": "r + 10", "c": "p + 5", "g": "s + 10", "n": "g + 8", "w": "n + 11", "e": "w + 19", "l": "e + 14", "u": "l + 17", "s": 1}, "premises": {"s": 1}, "target": "c"}, "answer": {"steps": [["p", "r + 10", "r + 15"], ["r", "h + 15", "h + 30"], ["h", "j + 7", "j + 37"], ["j", "q + 17", "q + 54"], ["q", "s + 4", "s + 58"], ["s", 1, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"s": 1}, "is_reverse": true}}
| 1,016
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = q + 17; l = e + 14; c = p + 5; n = g + 8; h = j + 7; r = h + 15; p = r + 10; s = 1; w = n + 11; u = l + 17; g = s + 10; e = w + 19; q = s + 4. Given that s = 1, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 10 to c, which gives c = r + 15.\n2. Substitute r = h + 15 to c, which gives c = h + 30.\n3. Substitute h = j + 7 to c, which gives c = j + 37.\n4. Substitute j = q + 17 to c, which gives c = q + 54.\n5. Substitute q = s + 4 to c, which gives c = s + 58.\n6. Substitute s = 1 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 1016,
"question": "Suppose a collection of variables is related by the following definitions: j = q + 17; l = e + 14; c = p + 5; n = g + 8; h = j + 7; r = h + 15; p = r + 10; s = 1; w = n + 11; u = l + 17; g = s + 10; e = w + 19; q = s + 4. Given that s = 1, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"u": "e + 5", "k": "u + 17", "w": "k + 19", "t": "w + 14", "i": "t + 2", "p": "i + 3", "m": "e + 15", "l": "m + 17", "a": "l + 7", "j": "a + 3", "f": "j + 6", "g": "f + 3", "e": 5}, "premises": {"e": 5}, "target": "p"}, "answer": {"steps": [["i", "t + 2", "t + 5"], ["t", "w + 14", "w + 19"], ["w", "k + 19", "k + 38"], ["k", "u + 17", "u + 55"], ["u", "e + 5", "e + 60"], ["e", 5, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"e": 5}, "is_reverse": true}}
| 1,017
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 17; a = l + 7; g = f + 3; m = e + 15; j = a + 3; i = t + 2; t = w + 14; l = m + 17; f = j + 6; u = e + 5; w = k + 19; e = 5; p = i + 3. If e = 5, what is the resulting 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 i = t + 2 to p, which gives p = t + 5.\n2. Substitute t = w + 14 to p, which gives p = w + 19.\n3. Substitute w = k + 19 to p, which gives p = k + 38.\n4. Substitute k = u + 17 to p, which gives p = u + 55.\n5. Substitute u = e + 5 to p, which gives p = e + 60.\n6. Substitute e = 5 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 1017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 17; a = l + 7; g = f + 3; m = e + 15; j = a + 3; i = t + 2; t = w + 14; l = m + 17; f = j + 6; u = e + 5; w = k + 19; e = 5; p = i + 3. If e = 5, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 2", "f": "x + 12", "a": "f + 14", "z": "a + 14", "w": "z + 15", "b": "w + 9", "j": "n + 5", "c": "j + 16", "r": "c + 5", "o": "r + 17", "s": "o + 7", "i": "s + 3", "n": 6}, "premises": {"n": 6}, "target": "b"}, "answer": {"steps": [["w", "z + 15", "z + 24"], ["z", "a + 14", "a + 38"], ["a", "f + 14", "f + 52"], ["f", "x + 12", "x + 64"], ["x", "n + 2", "n + 66"], ["n", 6, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"n": 6}, "is_reverse": true}}
| 1,018
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 2; s = o + 7; c = j + 16; n = 6; w = z + 15; f = x + 12; b = w + 9; a = f + 14; r = c + 5; i = s + 3; o = r + 17; j = n + 5; z = a + 14. If n = 6, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 15 to b, which gives b = z + 24.\n2. Substitute z = a + 14 to b, which gives b = a + 38.\n3. Substitute a = f + 14 to b, which gives b = f + 52.\n4. Substitute f = x + 12 to b, which gives b = x + 64.\n5. Substitute x = n + 2 to b, which gives b = n + 66.\n6. Substitute n = 6 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 1018,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 2; s = o + 7; c = j + 16; n = 6; w = z + 15; f = x + 12; b = w + 9; a = f + 14; r = c + 5; i = s + 3; o = r + 17; j = n + 5; z = a + 14. If n = 6, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 14", "e": "c + 11", "y": "e + 4", "p": "y + 9", "k": "p + 14", "o": "k + 15", "t": "a + 2", "d": "t + 8", "n": "d + 9", "h": "n + 8", "u": "h + 16", "i": "u + 17", "a": 20}, "premises": {"a": 20}, "target": "o"}, "answer": {"steps": [["k", "p + 14", "p + 29"], ["p", "y + 9", "y + 38"], ["y", "e + 4", "e + 42"], ["e", "c + 11", "c + 53"], ["c", "a + 14", "a + 67"], ["a", 20, "87"]], "target_var_name": "o", "target_value": 87, "value_dict": {"a": 20}, "is_reverse": true}}
| 1,019
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 20; h = n + 8; n = d + 9; u = h + 16; t = a + 2; k = p + 14; y = e + 4; d = t + 8; p = y + 9; c = a + 14; i = u + 17; o = k + 15; e = c + 11. If a = 20, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 14 to o, which gives o = p + 29.\n2. Substitute p = y + 9 to o, which gives o = y + 38.\n3. Substitute y = e + 4 to o, which gives o = e + 42.\n4. Substitute e = c + 11 to o, which gives o = c + 53.\n5. Substitute c = a + 14 to o, which gives o = a + 67.\n6. Substitute a = 20 to o, which gives o = 87.\n\nThus, the final answer is o = \\boxed{87}.",
"index": 1019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 20; h = n + 8; n = d + 9; u = h + 16; t = a + 2; k = p + 14; y = e + 4; d = t + 8; p = y + 9; c = a + 14; i = u + 17; o = k + 15; e = c + 11. If a = 20, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"c": "o + 2", "z": "c + 7", "r": "z + 15", "u": "r + 14", "x": "u + 18", "s": "x + 13", "i": "o + 18", "l": "i + 5", "k": "l + 12", "j": "k + 11", "p": "j + 18", "b": "p + 12", "o": 17}, "premises": {"o": 17}, "target": "s"}, "answer": {"steps": [["x", "u + 18", "u + 31"], ["u", "r + 14", "r + 45"], ["r", "z + 15", "z + 60"], ["z", "c + 7", "c + 67"], ["c", "o + 2", "o + 69"], ["o", 17, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"o": 17}, "is_reverse": true}}
| 1,020
| 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; x = u + 18; c = o + 2; k = l + 12; j = k + 11; z = c + 7; o = 17; s = x + 13; p = j + 18; i = o + 18; u = r + 14; l = i + 5; r = z + 15. If o = 17, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 18 to s, which gives s = u + 31.\n2. Substitute u = r + 14 to s, which gives s = r + 45.\n3. Substitute r = z + 15 to s, which gives s = z + 60.\n4. Substitute z = c + 7 to s, which gives s = c + 67.\n5. Substitute c = o + 2 to s, which gives s = o + 69.\n6. Substitute o = 17 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 1020,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 12; x = u + 18; c = o + 2; k = l + 12; j = k + 11; z = c + 7; o = 17; s = x + 13; p = j + 18; i = o + 18; u = r + 14; l = i + 5; r = z + 15. If o = 17, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 17", "d": "o + 12", "h": "d + 6", "b": "h + 14", "l": "b + 2", "p": "l + 16", "j": "g + 17", "z": "j + 8", "t": "z + 5", "s": "t + 10", "q": "s + 11", "r": "q + 5", "g": 17}, "premises": {"g": 17}, "target": "p"}, "answer": {"steps": [["l", "b + 2", "b + 18"], ["b", "h + 14", "h + 32"], ["h", "d + 6", "d + 38"], ["d", "o + 12", "o + 50"], ["o", "g + 17", "g + 67"], ["g", 17, "84"]], "target_var_name": "p", "target_value": 84, "value_dict": {"g": 17}, "is_reverse": true}}
| 1,021
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 17; r = q + 5; q = s + 11; g = 17; s = t + 10; p = l + 16; t = z + 5; o = g + 17; l = b + 2; z = j + 8; d = o + 12; b = h + 14; h = d + 6. If g = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 2 to p, which gives p = b + 18.\n2. Substitute b = h + 14 to p, which gives p = h + 32.\n3. Substitute h = d + 6 to p, which gives p = d + 38.\n4. Substitute d = o + 12 to p, which gives p = o + 50.\n5. Substitute o = g + 17 to p, which gives p = g + 67.\n6. Substitute g = 17 to p, which gives p = 84.\n\nThus, the final answer is p = \\boxed{84}.",
"index": 1021,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 17; r = q + 5; q = s + 11; g = 17; s = t + 10; p = l + 16; t = z + 5; o = g + 17; l = b + 2; z = j + 8; d = o + 12; b = h + 14; h = d + 6. If g = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 1", "t": "f + 12", "i": "t + 6", "g": "i + 18", "q": "g + 15", "z": "q + 18", "x": "v + 7", "k": "x + 8", "e": "k + 1", "o": "e + 9", "j": "o + 9", "p": "j + 17", "v": 17}, "premises": {"v": 17}, "target": "z"}, "answer": {"steps": [["q", "g + 15", "g + 33"], ["g", "i + 18", "i + 51"], ["i", "t + 6", "t + 57"], ["t", "f + 12", "f + 69"], ["f", "v + 1", "v + 70"], ["v", 17, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"v": 17}, "is_reverse": true}}
| 1,022
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 6; k = x + 8; q = g + 15; z = q + 18; p = j + 17; x = v + 7; e = k + 1; o = e + 9; v = 17; t = f + 12; j = o + 9; g = i + 18; f = v + 1. If v = 17, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 15 to z, which gives z = g + 33.\n2. Substitute g = i + 18 to z, which gives z = i + 51.\n3. Substitute i = t + 6 to z, which gives z = t + 57.\n4. Substitute t = f + 12 to z, which gives z = f + 69.\n5. Substitute f = v + 1 to z, which gives z = v + 70.\n6. Substitute v = 17 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 1022,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 6; k = x + 8; q = g + 15; z = q + 18; p = j + 17; x = v + 7; e = k + 1; o = e + 9; v = 17; t = f + 12; j = o + 9; g = i + 18; f = v + 1. If v = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 12", "r": "b + 1", "e": "r + 5", "l": "e + 13", "g": "l + 12", "h": "g + 15", "i": "u + 11", "k": "i + 12", "s": "k + 16", "m": "s + 10", "c": "m + 19", "d": "c + 4", "u": 2}, "premises": {"u": 2}, "target": "h"}, "answer": {"steps": [["g", "l + 12", "l + 27"], ["l", "e + 13", "e + 40"], ["e", "r + 5", "r + 45"], ["r", "b + 1", "b + 46"], ["b", "u + 12", "u + 58"], ["u", 2, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"u": 2}, "is_reverse": true}}
| 1,023
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 12; k = i + 12; i = u + 11; c = m + 19; e = r + 5; r = b + 1; s = k + 16; l = e + 13; m = s + 10; h = g + 15; u = 2; g = l + 12; d = c + 4. Given that u = 2, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 12 to h, which gives h = l + 27.\n2. Substitute l = e + 13 to h, which gives h = e + 40.\n3. Substitute e = r + 5 to h, which gives h = r + 45.\n4. Substitute r = b + 1 to h, which gives h = b + 46.\n5. Substitute b = u + 12 to h, which gives h = u + 58.\n6. Substitute u = 2 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 1023,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 12; k = i + 12; i = u + 11; c = m + 19; e = r + 5; r = b + 1; s = k + 16; l = e + 13; m = s + 10; h = g + 15; u = 2; g = l + 12; d = c + 4. Given that u = 2, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 6", "i": "q + 3", "c": "i + 16", "w": "c + 2", "p": "w + 1", "o": "p + 2", "d": "h + 7", "r": "d + 20", "v": "r + 4", "e": "v + 13", "m": "e + 18", "a": "m + 10", "h": 16}, "premises": {"h": 16}, "target": "o"}, "answer": {"steps": [["p", "w + 1", "w + 3"], ["w", "c + 2", "c + 5"], ["c", "i + 16", "i + 21"], ["i", "q + 3", "q + 24"], ["q", "h + 6", "h + 30"], ["h", 16, "46"]], "target_var_name": "o", "target_value": 46, "value_dict": {"h": 16}, "is_reverse": true}}
| 1,024
| 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 + 2; i = q + 3; q = h + 6; p = w + 1; w = c + 2; e = v + 13; r = d + 20; c = i + 16; a = m + 10; v = r + 4; m = e + 18; d = h + 7; h = 16. If h = 16, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = w + 1 to o, which gives o = w + 3.\n2. Substitute w = c + 2 to o, which gives o = c + 5.\n3. Substitute c = i + 16 to o, which gives o = i + 21.\n4. Substitute i = q + 3 to o, which gives o = q + 24.\n5. Substitute q = h + 6 to o, which gives o = h + 30.\n6. Substitute h = 16 to o, which gives o = 46.\n\nThus, the final answer is o = \\boxed{46}.",
"index": 1024,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 2; i = q + 3; q = h + 6; p = w + 1; w = c + 2; e = v + 13; r = d + 20; c = i + 16; a = m + 10; v = r + 4; m = e + 18; d = h + 7; h = 16. If h = 16, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 20", "i": "s + 1", "r": "i + 12", "a": "r + 6", "j": "a + 12", "m": "j + 3", "c": "d + 4", "v": "c + 11", "o": "v + 19", "k": "o + 14", "f": "k + 4", "q": "f + 17", "d": 2}, "premises": {"d": 2}, "target": "m"}, "answer": {"steps": [["j", "a + 12", "a + 15"], ["a", "r + 6", "r + 21"], ["r", "i + 12", "i + 33"], ["i", "s + 1", "s + 34"], ["s", "d + 20", "d + 54"], ["d", 2, "56"]], "target_var_name": "m", "target_value": 56, "value_dict": {"d": 2}, "is_reverse": true}}
| 1,025
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 12; r = i + 12; f = k + 4; d = 2; q = f + 17; m = j + 3; i = s + 1; a = r + 6; o = v + 19; k = o + 14; v = c + 11; s = d + 20; c = d + 4. Given that d = 2, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 12 to m, which gives m = a + 15.\n2. Substitute a = r + 6 to m, which gives m = r + 21.\n3. Substitute r = i + 12 to m, which gives m = i + 33.\n4. Substitute i = s + 1 to m, which gives m = s + 34.\n5. Substitute s = d + 20 to m, which gives m = d + 54.\n6. Substitute d = 2 to m, which gives m = 56.\n\nThus, the final answer is m = \\boxed{56}.",
"index": 1025,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 12; r = i + 12; f = k + 4; d = 2; q = f + 17; m = j + 3; i = s + 1; a = r + 6; o = v + 19; k = o + 14; v = c + 11; s = d + 20; c = d + 4. Given that d = 2, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 10", "s": "f + 5", "v": "s + 8", "m": "v + 2", "k": "m + 1", "i": "k + 2", "d": "u + 10", "r": "d + 11", "o": "r + 9", "h": "o + 19", "q": "h + 3", "z": "q + 5", "u": 19}, "premises": {"u": 19}, "target": "i"}, "answer": {"steps": [["k", "m + 1", "m + 3"], ["m", "v + 2", "v + 5"], ["v", "s + 8", "s + 13"], ["s", "f + 5", "f + 18"], ["f", "u + 10", "u + 28"], ["u", 19, "47"]], "target_var_name": "i", "target_value": 47, "value_dict": {"u": 19}, "is_reverse": true}}
| 1,026
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 8; h = o + 19; r = d + 11; q = h + 3; u = 19; i = k + 2; d = u + 10; z = q + 5; k = m + 1; o = r + 9; m = v + 2; f = u + 10; s = f + 5. If u = 19, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 1 to i, which gives i = m + 3.\n2. Substitute m = v + 2 to i, which gives i = v + 5.\n3. Substitute v = s + 8 to i, which gives i = s + 13.\n4. Substitute s = f + 5 to i, which gives i = f + 18.\n5. Substitute f = u + 10 to i, which gives i = u + 28.\n6. Substitute u = 19 to i, which gives i = 47.\n\nThus, the final answer is i = \\boxed{47}.",
"index": 1026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 8; h = o + 19; r = d + 11; q = h + 3; u = 19; i = k + 2; d = u + 10; z = q + 5; k = m + 1; o = r + 9; m = v + 2; f = u + 10; s = f + 5. If u = 19, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 10", "f": "s + 15", "k": "f + 4", "w": "k + 16", "u": "w + 20", "e": "u + 8", "g": "q + 17", "j": "g + 10", "d": "j + 9", "a": "d + 18", "m": "a + 11", "l": "m + 3", "q": 9}, "premises": {"q": 9}, "target": "e"}, "answer": {"steps": [["u", "w + 20", "w + 28"], ["w", "k + 16", "k + 44"], ["k", "f + 4", "f + 48"], ["f", "s + 15", "s + 63"], ["s", "q + 10", "q + 73"], ["q", 9, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"q": 9}, "is_reverse": true}}
| 1,027
| 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 + 8; d = j + 9; u = w + 20; l = m + 3; j = g + 10; q = 9; w = k + 16; a = d + 18; m = a + 11; s = q + 10; k = f + 4; f = s + 15; g = q + 17. If q = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 20 to e, which gives e = w + 28.\n2. Substitute w = k + 16 to e, which gives e = k + 44.\n3. Substitute k = f + 4 to e, which gives e = f + 48.\n4. Substitute f = s + 15 to e, which gives e = s + 63.\n5. Substitute s = q + 10 to e, which gives e = q + 73.\n6. Substitute q = 9 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 1027,
"question": "Consider a system of variables where each variable is defined as follows: e = u + 8; d = j + 9; u = w + 20; l = m + 3; j = g + 10; q = 9; w = k + 16; a = d + 18; m = a + 11; s = q + 10; k = f + 4; f = s + 15; g = q + 17. If q = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 19", "f": "i + 11", "m": "f + 19", "y": "m + 15", "x": "y + 14", "g": "x + 11", "k": "w + 13", "h": "k + 14", "z": "h + 4", "u": "z + 11", "l": "u + 18", "t": "l + 1", "w": 19}, "premises": {"w": 19}, "target": "g"}, "answer": {"steps": [["x", "y + 14", "y + 25"], ["y", "m + 15", "m + 40"], ["m", "f + 19", "f + 59"], ["f", "i + 11", "i + 70"], ["i", "w + 19", "w + 89"], ["w", 19, "108"]], "target_var_name": "g", "target_value": 108, "value_dict": {"w": 19}, "is_reverse": true}}
| 1,028
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = h + 4; x = y + 14; t = l + 1; h = k + 14; l = u + 18; w = 19; m = f + 19; y = m + 15; f = i + 11; i = w + 19; k = w + 13; g = x + 11; u = z + 11. Given that w = 19, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 14 to g, which gives g = y + 25.\n2. Substitute y = m + 15 to g, which gives g = m + 40.\n3. Substitute m = f + 19 to g, which gives g = f + 59.\n4. Substitute f = i + 11 to g, which gives g = i + 70.\n5. Substitute i = w + 19 to g, which gives g = w + 89.\n6. Substitute w = 19 to g, which gives g = 108.\n\nThus, the final answer is g = \\boxed{108}.",
"index": 1028,
"question": "Suppose a collection of variables is related by the following definitions: z = h + 4; x = y + 14; t = l + 1; h = k + 14; l = u + 18; w = 19; m = f + 19; y = m + 15; f = i + 11; i = w + 19; k = w + 13; g = x + 11; u = z + 11. Given that w = 19, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 5", "z": "q + 15", "v": "z + 4", "i": "v + 13", "b": "i + 2", "x": "b + 1", "j": "h + 16", "r": "j + 1", "f": "r + 20", "n": "f + 20", "s": "n + 4", "d": "s + 10", "h": 18}, "premises": {"h": 18}, "target": "x"}, "answer": {"steps": [["b", "i + 2", "i + 3"], ["i", "v + 13", "v + 16"], ["v", "z + 4", "z + 20"], ["z", "q + 15", "q + 35"], ["q", "h + 5", "h + 40"], ["h", 18, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"h": 18}, "is_reverse": true}}
| 1,029
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = 18; i = v + 13; q = h + 5; f = r + 20; j = h + 16; d = s + 10; b = i + 2; r = j + 1; v = z + 4; z = q + 15; s = n + 4; x = b + 1; n = f + 20. Given that h = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 2 to x, which gives x = i + 3.\n2. Substitute i = v + 13 to x, which gives x = v + 16.\n3. Substitute v = z + 4 to x, which gives x = z + 20.\n4. Substitute z = q + 15 to x, which gives x = q + 35.\n5. Substitute q = h + 5 to x, which gives x = h + 40.\n6. Substitute h = 18 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 1029,
"question": "Suppose a collection of variables is related by the following definitions: h = 18; i = v + 13; q = h + 5; f = r + 20; j = h + 16; d = s + 10; b = i + 2; r = j + 1; v = z + 4; z = q + 15; s = n + 4; x = b + 1; n = f + 20. Given that h = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 8", "u": "z + 2", "g": "u + 17", "x": "g + 16", "e": "x + 20", "l": "e + 13", "h": "j + 4", "c": "h + 11", "r": "c + 2", "k": "r + 10", "b": "k + 9", "s": "b + 11", "j": 1}, "premises": {"j": 1}, "target": "l"}, "answer": {"steps": [["e", "x + 20", "x + 33"], ["x", "g + 16", "g + 49"], ["g", "u + 17", "u + 66"], ["u", "z + 2", "z + 68"], ["z", "j + 8", "j + 76"], ["j", 1, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"j": 1}, "is_reverse": true}}
| 1,030
| 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 = u + 17; s = b + 11; r = c + 2; j = 1; z = j + 8; e = x + 20; b = k + 9; u = z + 2; x = g + 16; h = j + 4; k = r + 10; c = h + 11; l = e + 13. If j = 1, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 20 to l, which gives l = x + 33.\n2. Substitute x = g + 16 to l, which gives l = g + 49.\n3. Substitute g = u + 17 to l, which gives l = u + 66.\n4. Substitute u = z + 2 to l, which gives l = z + 68.\n5. Substitute z = j + 8 to l, which gives l = j + 76.\n6. Substitute j = 1 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 1030,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = u + 17; s = b + 11; r = c + 2; j = 1; z = j + 8; e = x + 20; b = k + 9; u = z + 2; x = g + 16; h = j + 4; k = r + 10; c = h + 11; l = e + 13. If j = 1, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"u": "j + 17", "h": "u + 14", "t": "h + 5", "i": "t + 5", "q": "i + 20", "x": "q + 1", "v": "j + 19", "k": "v + 1", "z": "k + 3", "d": "z + 19", "g": "d + 19", "s": "g + 3", "j": 13}, "premises": {"j": 13}, "target": "x"}, "answer": {"steps": [["q", "i + 20", "i + 21"], ["i", "t + 5", "t + 26"], ["t", "h + 5", "h + 31"], ["h", "u + 14", "u + 45"], ["u", "j + 17", "j + 62"], ["j", 13, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"j": 13}, "is_reverse": true}}
| 1,031
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 5; x = q + 1; j = 13; q = i + 20; u = j + 17; g = d + 19; k = v + 1; s = g + 3; h = u + 14; i = t + 5; v = j + 19; d = z + 19; z = k + 3. Given that j = 13, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 20 to x, which gives x = i + 21.\n2. Substitute i = t + 5 to x, which gives x = t + 26.\n3. Substitute t = h + 5 to x, which gives x = h + 31.\n4. Substitute h = u + 14 to x, which gives x = u + 45.\n5. Substitute u = j + 17 to x, which gives x = j + 62.\n6. Substitute j = 13 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 1031,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 5; x = q + 1; j = 13; q = i + 20; u = j + 17; g = d + 19; k = v + 1; s = g + 3; h = u + 14; i = t + 5; v = j + 19; d = z + 19; z = k + 3. Given that j = 13, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 7", "v": "y + 10", "l": "v + 3", "e": "l + 4", "x": "e + 8", "q": "x + 15", "r": "s + 11", "i": "r + 19", "t": "i + 11", "k": "t + 13", "h": "k + 15", "d": "h + 15", "s": 11}, "premises": {"s": 11}, "target": "q"}, "answer": {"steps": [["x", "e + 8", "e + 23"], ["e", "l + 4", "l + 27"], ["l", "v + 3", "v + 30"], ["v", "y + 10", "y + 40"], ["y", "s + 7", "s + 47"], ["s", 11, "58"]], "target_var_name": "q", "target_value": 58, "value_dict": {"s": 11}, "is_reverse": true}}
| 1,032
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 3; h = k + 15; i = r + 19; x = e + 8; k = t + 13; v = y + 10; d = h + 15; t = i + 11; s = 11; q = x + 15; e = l + 4; y = s + 7; r = s + 11. If s = 11, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 8 to q, which gives q = e + 23.\n2. Substitute e = l + 4 to q, which gives q = l + 27.\n3. Substitute l = v + 3 to q, which gives q = v + 30.\n4. Substitute v = y + 10 to q, which gives q = y + 40.\n5. Substitute y = s + 7 to q, which gives q = s + 47.\n6. Substitute s = 11 to q, which gives q = 58.\n\nThus, the final answer is q = \\boxed{58}.",
"index": 1032,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 3; h = k + 15; i = r + 19; x = e + 8; k = t + 13; v = y + 10; d = h + 15; t = i + 11; s = 11; q = x + 15; e = l + 4; y = s + 7; r = s + 11. If s = 11, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"o": "s + 7", "y": "o + 15", "a": "y + 9", "j": "a + 14", "g": "j + 6", "k": "g + 4", "u": "s + 13", "h": "u + 5", "d": "h + 12", "m": "d + 17", "l": "m + 20", "c": "l + 8", "s": 12}, "premises": {"s": 12}, "target": "k"}, "answer": {"steps": [["g", "j + 6", "j + 10"], ["j", "a + 14", "a + 24"], ["a", "y + 9", "y + 33"], ["y", "o + 15", "o + 48"], ["o", "s + 7", "s + 55"], ["s", 12, "67"]], "target_var_name": "k", "target_value": 67, "value_dict": {"s": 12}, "is_reverse": true}}
| 1,033
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 14; d = h + 12; y = o + 15; o = s + 7; a = y + 9; s = 12; c = l + 8; m = d + 17; u = s + 13; l = m + 20; k = g + 4; h = u + 5; g = j + 6. If s = 12, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 6 to k, which gives k = j + 10.\n2. Substitute j = a + 14 to k, which gives k = a + 24.\n3. Substitute a = y + 9 to k, which gives k = y + 33.\n4. Substitute y = o + 15 to k, which gives k = o + 48.\n5. Substitute o = s + 7 to k, which gives k = s + 55.\n6. Substitute s = 12 to k, which gives k = 67.\n\nThus, the final answer is k = \\boxed{67}.",
"index": 1033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 14; d = h + 12; y = o + 15; o = s + 7; a = y + 9; s = 12; c = l + 8; m = d + 17; u = s + 13; l = m + 20; k = g + 4; h = u + 5; g = j + 6. If s = 12, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 14", "p": "r + 6", "i": "p + 1", "a": "i + 8", "m": "a + 13", "u": "m + 20", "v": "h + 18", "l": "v + 4", "n": "l + 19", "g": "n + 16", "z": "g + 9", "f": "z + 17", "h": 13}, "premises": {"h": 13}, "target": "u"}, "answer": {"steps": [["m", "a + 13", "a + 33"], ["a", "i + 8", "i + 41"], ["i", "p + 1", "p + 42"], ["p", "r + 6", "r + 48"], ["r", "h + 14", "h + 62"], ["h", 13, "75"]], "target_var_name": "u", "target_value": 75, "value_dict": {"h": 13}, "is_reverse": true}}
| 1,034
| 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 = 13; u = m + 20; g = n + 16; a = i + 8; f = z + 17; l = v + 4; v = h + 18; m = a + 13; z = g + 9; i = p + 1; n = l + 19; p = r + 6; r = h + 14. If h = 13, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 13 to u, which gives u = a + 33.\n2. Substitute a = i + 8 to u, which gives u = i + 41.\n3. Substitute i = p + 1 to u, which gives u = p + 42.\n4. Substitute p = r + 6 to u, which gives u = r + 48.\n5. Substitute r = h + 14 to u, which gives u = h + 62.\n6. Substitute h = 13 to u, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 1034,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 13; u = m + 20; g = n + 16; a = i + 8; f = z + 17; l = v + 4; v = h + 18; m = a + 13; z = g + 9; i = p + 1; n = l + 19; p = r + 6; r = h + 14. If h = 13, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 15", "p": "c + 15", "y": "p + 10", "m": "y + 13", "v": "m + 9", "t": "v + 2", "b": "r + 16", "a": "b + 14", "f": "a + 5", "x": "f + 14", "h": "x + 8", "n": "h + 6", "r": 10}, "premises": {"r": 10}, "target": "t"}, "answer": {"steps": [["v", "m + 9", "m + 11"], ["m", "y + 13", "y + 24"], ["y", "p + 10", "p + 34"], ["p", "c + 15", "c + 49"], ["c", "r + 15", "r + 64"], ["r", 10, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,035
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 10; b = r + 16; c = r + 15; f = a + 5; n = h + 6; y = p + 10; t = v + 2; m = y + 13; a = b + 14; p = c + 15; h = x + 8; v = m + 9; x = f + 14. Given that r = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 9 to t, which gives t = m + 11.\n2. Substitute m = y + 13 to t, which gives t = y + 24.\n3. Substitute y = p + 10 to t, which gives t = p + 34.\n4. Substitute p = c + 15 to t, which gives t = c + 49.\n5. Substitute c = r + 15 to t, which gives t = r + 64.\n6. Substitute r = 10 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 1035,
"question": "Suppose a collection of variables is related by the following definitions: r = 10; b = r + 16; c = r + 15; f = a + 5; n = h + 6; y = p + 10; t = v + 2; m = y + 13; a = b + 14; p = c + 15; h = x + 8; v = m + 9; x = f + 14. Given that r = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "h + 19", "m": "i + 5", "j": "m + 12", "c": "j + 20", "o": "c + 5", "d": "o + 19", "x": "h + 15", "s": "x + 19", "v": "s + 12", "t": "v + 3", "z": "t + 13", "a": "z + 17", "h": 10}, "premises": {"h": 10}, "target": "d"}, "answer": {"steps": [["o", "c + 5", "c + 24"], ["c", "j + 20", "j + 44"], ["j", "m + 12", "m + 56"], ["m", "i + 5", "i + 61"], ["i", "h + 19", "h + 80"], ["h", 10, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"h": 10}, "is_reverse": true}}
| 1,036
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 19; j = m + 12; t = v + 3; s = x + 19; v = s + 12; h = 10; m = i + 5; o = c + 5; z = t + 13; i = h + 19; a = z + 17; x = h + 15; c = j + 20. If h = 10, what is the resulting 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 o = c + 5 to d, which gives d = c + 24.\n2. Substitute c = j + 20 to d, which gives d = j + 44.\n3. Substitute j = m + 12 to d, which gives d = m + 56.\n4. Substitute m = i + 5 to d, which gives d = i + 61.\n5. Substitute i = h + 19 to d, which gives d = h + 80.\n6. Substitute h = 10 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 1036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 19; j = m + 12; t = v + 3; s = x + 19; v = s + 12; h = 10; m = i + 5; o = c + 5; z = t + 13; i = h + 19; a = z + 17; x = h + 15; c = j + 20. If h = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 19", "q": "j + 3", "u": "q + 3", "m": "u + 9", "l": "m + 2", "w": "l + 17", "v": "d + 4", "e": "v + 20", "a": "e + 18", "g": "a + 11", "s": "g + 4", "z": "s + 19", "d": 12}, "premises": {"d": 12}, "target": "w"}, "answer": {"steps": [["l", "m + 2", "m + 19"], ["m", "u + 9", "u + 28"], ["u", "q + 3", "q + 31"], ["q", "j + 3", "j + 34"], ["j", "d + 19", "d + 53"], ["d", 12, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"d": 12}, "is_reverse": true}}
| 1,037
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 4; e = v + 20; u = q + 3; w = l + 17; g = a + 11; q = j + 3; m = u + 9; d = 12; l = m + 2; a = e + 18; s = g + 4; j = d + 19; z = s + 19. If d = 12, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 2 to w, which gives w = m + 19.\n2. Substitute m = u + 9 to w, which gives w = u + 28.\n3. Substitute u = q + 3 to w, which gives w = q + 31.\n4. Substitute q = j + 3 to w, which gives w = j + 34.\n5. Substitute j = d + 19 to w, which gives w = d + 53.\n6. Substitute d = 12 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 1037,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = d + 4; e = v + 20; u = q + 3; w = l + 17; g = a + 11; q = j + 3; m = u + 9; d = 12; l = m + 2; a = e + 18; s = g + 4; j = d + 19; z = s + 19. If d = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 14", "s": "p + 4", "f": "s + 9", "q": "f + 5", "z": "q + 4", "n": "z + 18", "r": "w + 13", "x": "r + 7", "u": "x + 13", "y": "u + 8", "g": "y + 11", "l": "g + 12", "w": 20}, "premises": {"w": 20}, "target": "n"}, "answer": {"steps": [["z", "q + 4", "q + 22"], ["q", "f + 5", "f + 27"], ["f", "s + 9", "s + 36"], ["s", "p + 4", "p + 40"], ["p", "w + 14", "w + 54"], ["w", 20, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"w": 20}, "is_reverse": true}}
| 1,038
| 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 = z + 18; u = x + 13; x = r + 7; p = w + 14; l = g + 12; g = y + 11; f = s + 9; q = f + 5; y = u + 8; z = q + 4; s = p + 4; r = w + 13; w = 20. If w = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 4 to n, which gives n = q + 22.\n2. Substitute q = f + 5 to n, which gives n = f + 27.\n3. Substitute f = s + 9 to n, which gives n = s + 36.\n4. Substitute s = p + 4 to n, which gives n = p + 40.\n5. Substitute p = w + 14 to n, which gives n = w + 54.\n6. Substitute w = 20 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 1038,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = z + 18; u = x + 13; x = r + 7; p = w + 14; l = g + 12; g = y + 11; f = s + 9; q = f + 5; y = u + 8; z = q + 4; s = p + 4; r = w + 13; w = 20. If w = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 20", "u": "p + 12", "y": "u + 20", "c": "y + 9", "i": "c + 12", "z": "i + 8", "r": "m + 13", "x": "r + 10", "q": "x + 14", "o": "q + 16", "f": "o + 1", "d": "f + 16", "m": 14}, "premises": {"m": 14}, "target": "z"}, "answer": {"steps": [["i", "c + 12", "c + 20"], ["c", "y + 9", "y + 29"], ["y", "u + 20", "u + 49"], ["u", "p + 12", "p + 61"], ["p", "m + 20", "m + 81"], ["m", 14, "95"]], "target_var_name": "z", "target_value": 95, "value_dict": {"m": 14}, "is_reverse": true}}
| 1,039
| 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 = r + 10; q = x + 14; m = 14; o = q + 16; u = p + 12; p = m + 20; d = f + 16; y = u + 20; f = o + 1; i = c + 12; z = i + 8; c = y + 9; r = m + 13. If m = 14, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 12 to z, which gives z = c + 20.\n2. Substitute c = y + 9 to z, which gives z = y + 29.\n3. Substitute y = u + 20 to z, which gives z = u + 49.\n4. Substitute u = p + 12 to z, which gives z = p + 61.\n5. Substitute p = m + 20 to z, which gives z = m + 81.\n6. Substitute m = 14 to z, which gives z = 95.\n\nThus, the final answer is z = \\boxed{95}.",
"index": 1039,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 10; q = x + 14; m = 14; o = q + 16; u = p + 12; p = m + 20; d = f + 16; y = u + 20; f = o + 1; i = c + 12; z = i + 8; c = y + 9; r = m + 13. If m = 14, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 20", "x": "w + 10", "n": "x + 19", "b": "n + 15", "r": "b + 20", "d": "r + 10", "o": "t + 18", "h": "o + 17", "c": "h + 20", "i": "c + 8", "s": "i + 13", "g": "s + 1", "t": 15}, "premises": {"t": 15}, "target": "d"}, "answer": {"steps": [["r", "b + 20", "b + 30"], ["b", "n + 15", "n + 45"], ["n", "x + 19", "x + 64"], ["x", "w + 10", "w + 74"], ["w", "t + 20", "t + 94"], ["t", 15, "109"]], "target_var_name": "d", "target_value": 109, "value_dict": {"t": 15}, "is_reverse": true}}
| 1,040
| 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 = o + 17; d = r + 10; w = t + 20; r = b + 20; n = x + 19; c = h + 20; s = i + 13; o = t + 18; i = c + 8; g = s + 1; b = n + 15; x = w + 10; t = 15. If t = 15, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 20 to d, which gives d = b + 30.\n2. Substitute b = n + 15 to d, which gives d = n + 45.\n3. Substitute n = x + 19 to d, which gives d = x + 64.\n4. Substitute x = w + 10 to d, which gives d = w + 74.\n5. Substitute w = t + 20 to d, which gives d = t + 94.\n6. Substitute t = 15 to d, which gives d = 109.\n\nThus, the final answer is d = \\boxed{109}.",
"index": 1040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 17; d = r + 10; w = t + 20; r = b + 20; n = x + 19; c = h + 20; s = i + 13; o = t + 18; i = c + 8; g = s + 1; b = n + 15; x = w + 10; t = 15. If t = 15, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 2", "w": "h + 4", "d": "w + 5", "y": "d + 10", "p": "y + 19", "u": "p + 17", "k": "a + 15", "n": "k + 18", "t": "n + 9", "s": "t + 20", "e": "s + 9", "c": "e + 8", "a": 4}, "premises": {"a": 4}, "target": "u"}, "answer": {"steps": [["p", "y + 19", "y + 36"], ["y", "d + 10", "d + 46"], ["d", "w + 5", "w + 51"], ["w", "h + 4", "h + 55"], ["h", "a + 2", "a + 57"], ["a", 4, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,041
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 5; p = y + 19; c = e + 8; k = a + 15; h = a + 2; e = s + 9; s = t + 20; n = k + 18; a = 4; t = n + 9; y = d + 10; w = h + 4; u = p + 17. If a = 4, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 19 to u, which gives u = y + 36.\n2. Substitute y = d + 10 to u, which gives u = d + 46.\n3. Substitute d = w + 5 to u, which gives u = w + 51.\n4. Substitute w = h + 4 to u, which gives u = h + 55.\n5. Substitute h = a + 2 to u, which gives u = a + 57.\n6. Substitute a = 4 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 1041,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 5; p = y + 19; c = e + 8; k = a + 15; h = a + 2; e = s + 9; s = t + 20; n = k + 18; a = 4; t = n + 9; y = d + 10; w = h + 4; u = p + 17. If a = 4, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"g": "w + 2", "s": "g + 1", "n": "s + 6", "j": "n + 6", "q": "j + 11", "x": "q + 20", "b": "w + 8", "r": "b + 12", "o": "r + 14", "f": "o + 2", "l": "f + 3", "y": "l + 13", "w": 7}, "premises": {"w": 7}, "target": "x"}, "answer": {"steps": [["q", "j + 11", "j + 31"], ["j", "n + 6", "n + 37"], ["n", "s + 6", "s + 43"], ["s", "g + 1", "g + 44"], ["g", "w + 2", "w + 46"], ["w", 7, "53"]], "target_var_name": "x", "target_value": 53, "value_dict": {"w": 7}, "is_reverse": true}}
| 1,042
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 12; x = q + 20; o = r + 14; l = f + 3; q = j + 11; f = o + 2; y = l + 13; b = w + 8; n = s + 6; g = w + 2; w = 7; j = n + 6; s = g + 1. Given that w = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 11 to x, which gives x = j + 31.\n2. Substitute j = n + 6 to x, which gives x = n + 37.\n3. Substitute n = s + 6 to x, which gives x = s + 43.\n4. Substitute s = g + 1 to x, which gives x = g + 44.\n5. Substitute g = w + 2 to x, which gives x = w + 46.\n6. Substitute w = 7 to x, which gives x = 53.\n\nThus, the final answer is x = \\boxed{53}.",
"index": 1042,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 12; x = q + 20; o = r + 14; l = f + 3; q = j + 11; f = o + 2; y = l + 13; b = w + 8; n = s + 6; g = w + 2; w = 7; j = n + 6; s = g + 1. Given that w = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "k + 2", "p": "s + 5", "a": "p + 4", "f": "a + 20", "x": "f + 13", "e": "x + 4", "z": "k + 4", "h": "z + 8", "t": "h + 9", "u": "t + 9", "l": "u + 17", "d": "l + 11", "k": 18}, "premises": {"k": 18}, "target": "e"}, "answer": {"steps": [["x", "f + 13", "f + 17"], ["f", "a + 20", "a + 37"], ["a", "p + 4", "p + 41"], ["p", "s + 5", "s + 46"], ["s", "k + 2", "k + 48"], ["k", 18, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"k": 18}, "is_reverse": true}}
| 1,043
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = h + 9; u = t + 9; l = u + 17; s = k + 2; f = a + 20; p = s + 5; a = p + 4; d = l + 11; e = x + 4; z = k + 4; x = f + 13; h = z + 8; k = 18. Given that k = 18, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 13 to e, which gives e = f + 17.\n2. Substitute f = a + 20 to e, which gives e = a + 37.\n3. Substitute a = p + 4 to e, which gives e = p + 41.\n4. Substitute p = s + 5 to e, which gives e = s + 46.\n5. Substitute s = k + 2 to e, which gives e = k + 48.\n6. Substitute k = 18 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 1043,
"question": "Suppose a collection of variables is related by the following definitions: t = h + 9; u = t + 9; l = u + 17; s = k + 2; f = a + 20; p = s + 5; a = p + 4; d = l + 11; e = x + 4; z = k + 4; x = f + 13; h = z + 8; k = 18. Given that k = 18, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 2", "b": "o + 12", "m": "b + 8", "v": "m + 12", "e": "v + 10", "t": "e + 8", "c": "k + 18", "p": "c + 15", "x": "p + 14", "f": "x + 2", "u": "f + 5", "n": "u + 16", "k": 20}, "premises": {"k": 20}, "target": "t"}, "answer": {"steps": [["e", "v + 10", "v + 18"], ["v", "m + 12", "m + 30"], ["m", "b + 8", "b + 38"], ["b", "o + 12", "o + 50"], ["o", "k + 2", "k + 52"], ["k", 20, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"k": 20}, "is_reverse": true}}
| 1,044
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = k + 18; n = u + 16; f = x + 2; u = f + 5; m = b + 8; o = k + 2; b = o + 12; e = v + 10; k = 20; t = e + 8; p = c + 15; x = p + 14; v = m + 12. If k = 20, determine the value of t.",
"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 + 10 to t, which gives t = v + 18.\n2. Substitute v = m + 12 to t, which gives t = m + 30.\n3. Substitute m = b + 8 to t, which gives t = b + 38.\n4. Substitute b = o + 12 to t, which gives t = o + 50.\n5. Substitute o = k + 2 to t, which gives t = k + 52.\n6. Substitute k = 20 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 1044,
"question": "Consider a system of variables where each variable is defined as follows: c = k + 18; n = u + 16; f = x + 2; u = f + 5; m = b + 8; o = k + 2; b = o + 12; e = v + 10; k = 20; t = e + 8; p = c + 15; x = p + 14; v = m + 12. If k = 20, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 4", "r": "s + 12", "l": "r + 18", "d": "l + 17", "v": "d + 8", "a": "v + 17", "x": "y + 2", "b": "x + 11", "g": "b + 14", "z": "g + 1", "h": "z + 6", "f": "h + 20", "y": 5}, "premises": {"y": 5}, "target": "a"}, "answer": {"steps": [["v", "d + 8", "d + 25"], ["d", "l + 17", "l + 42"], ["l", "r + 18", "r + 60"], ["r", "s + 12", "s + 72"], ["s", "y + 4", "y + 76"], ["y", 5, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"y": 5}, "is_reverse": true}}
| 1,045
| 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 = z + 6; x = y + 2; v = d + 8; y = 5; l = r + 18; g = b + 14; z = g + 1; a = v + 17; s = y + 4; d = l + 17; r = s + 12; f = h + 20; b = x + 11. If y = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 8 to a, which gives a = d + 25.\n2. Substitute d = l + 17 to a, which gives a = l + 42.\n3. Substitute l = r + 18 to a, which gives a = r + 60.\n4. Substitute r = s + 12 to a, which gives a = s + 72.\n5. Substitute s = y + 4 to a, which gives a = y + 76.\n6. Substitute y = 5 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 1045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 6; x = y + 2; v = d + 8; y = 5; l = r + 18; g = b + 14; z = g + 1; a = v + 17; s = y + 4; d = l + 17; r = s + 12; f = h + 20; b = x + 11. If y = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 12", "q": "s + 19", "k": "q + 7", "t": "k + 14", "y": "t + 13", "f": "y + 4", "o": "x + 17", "m": "o + 8", "h": "m + 13", "d": "h + 9", "i": "d + 16", "c": "i + 15", "x": 3}, "premises": {"x": 3}, "target": "f"}, "answer": {"steps": [["y", "t + 13", "t + 17"], ["t", "k + 14", "k + 31"], ["k", "q + 7", "q + 38"], ["q", "s + 19", "s + 57"], ["s", "x + 12", "x + 69"], ["x", 3, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"x": 3}, "is_reverse": true}}
| 1,046
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = y + 4; q = s + 19; s = x + 12; c = i + 15; h = m + 13; m = o + 8; y = t + 13; d = h + 9; k = q + 7; x = 3; t = k + 14; i = d + 16; o = x + 17. Given that x = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 13 to f, which gives f = t + 17.\n2. Substitute t = k + 14 to f, which gives f = k + 31.\n3. Substitute k = q + 7 to f, which gives f = q + 38.\n4. Substitute q = s + 19 to f, which gives f = s + 57.\n5. Substitute s = x + 12 to f, which gives f = x + 69.\n6. Substitute x = 3 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 1046,
"question": "Suppose a collection of variables is related by the following definitions: f = y + 4; q = s + 19; s = x + 12; c = i + 15; h = m + 13; m = o + 8; y = t + 13; d = h + 9; k = q + 7; x = 3; t = k + 14; i = d + 16; o = x + 17. Given that x = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 15", "u": "z + 10", "i": "u + 15", "d": "i + 5", "w": "d + 11", "y": "w + 7", "s": "b + 13", "a": "s + 11", "k": "a + 14", "v": "k + 8", "h": "v + 19", "j": "h + 15", "b": 17}, "premises": {"b": 17}, "target": "y"}, "answer": {"steps": [["w", "d + 11", "d + 18"], ["d", "i + 5", "i + 23"], ["i", "u + 15", "u + 38"], ["u", "z + 10", "z + 48"], ["z", "b + 15", "b + 63"], ["b", 17, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"b": 17}, "is_reverse": true}}
| 1,047
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = h + 15; u = z + 10; a = s + 11; y = w + 7; k = a + 14; v = k + 8; h = v + 19; i = u + 15; w = d + 11; z = b + 15; s = b + 13; d = i + 5; b = 17. If b = 17, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 11 to y, which gives y = d + 18.\n2. Substitute d = i + 5 to y, which gives y = i + 23.\n3. Substitute i = u + 15 to y, which gives y = u + 38.\n4. Substitute u = z + 10 to y, which gives y = z + 48.\n5. Substitute z = b + 15 to y, which gives y = b + 63.\n6. Substitute b = 17 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 1047,
"question": "Consider a system of variables where each variable is defined as follows: j = h + 15; u = z + 10; a = s + 11; y = w + 7; k = a + 14; v = k + 8; h = v + 19; i = u + 15; w = d + 11; z = b + 15; s = b + 13; d = i + 5; b = 17. If b = 17, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 3", "n": "l + 5", "f": "n + 20", "s": "f + 10", "j": "s + 14", "m": "j + 8", "x": "c + 7", "a": "x + 15", "z": "a + 20", "d": "z + 11", "w": "d + 3", "q": "w + 20", "c": 13}, "premises": {"c": 13}, "target": "m"}, "answer": {"steps": [["j", "s + 14", "s + 22"], ["s", "f + 10", "f + 32"], ["f", "n + 20", "n + 52"], ["n", "l + 5", "l + 57"], ["l", "c + 3", "c + 60"], ["c", 13, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"c": 13}, "is_reverse": true}}
| 1,048
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 20; d = z + 11; l = c + 3; f = n + 20; s = f + 10; x = c + 7; j = s + 14; m = j + 8; c = 13; a = x + 15; w = d + 3; n = l + 5; q = w + 20. If c = 13, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 14 to m, which gives m = s + 22.\n2. Substitute s = f + 10 to m, which gives m = f + 32.\n3. Substitute f = n + 20 to m, which gives m = n + 52.\n4. Substitute n = l + 5 to m, which gives m = l + 57.\n5. Substitute l = c + 3 to m, which gives m = c + 60.\n6. Substitute c = 13 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 1048,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 20; d = z + 11; l = c + 3; f = n + 20; s = f + 10; x = c + 7; j = s + 14; m = j + 8; c = 13; a = x + 15; w = d + 3; n = l + 5; q = w + 20. If c = 13, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 2", "w": "g + 20", "l": "w + 7", "z": "l + 13", "y": "z + 7", "m": "y + 1", "v": "f + 1", "k": "v + 11", "x": "k + 18", "n": "x + 10", "q": "n + 17", "b": "q + 15", "f": 18}, "premises": {"f": 18}, "target": "m"}, "answer": {"steps": [["y", "z + 7", "z + 8"], ["z", "l + 13", "l + 21"], ["l", "w + 7", "w + 28"], ["w", "g + 20", "g + 48"], ["g", "f + 2", "f + 50"], ["f", 18, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"f": 18}, "is_reverse": true}}
| 1,049
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = z + 7; k = v + 11; m = y + 1; v = f + 1; b = q + 15; x = k + 18; w = g + 20; g = f + 2; n = x + 10; l = w + 7; z = l + 13; q = n + 17; f = 18. If f = 18, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 7 to m, which gives m = z + 8.\n2. Substitute z = l + 13 to m, which gives m = l + 21.\n3. Substitute l = w + 7 to m, which gives m = w + 28.\n4. Substitute w = g + 20 to m, which gives m = g + 48.\n5. Substitute g = f + 2 to m, which gives m = f + 50.\n6. Substitute f = 18 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 1049,
"question": "Consider a system of variables where each variable is defined as follows: y = z + 7; k = v + 11; m = y + 1; v = f + 1; b = q + 15; x = k + 18; w = g + 20; g = f + 2; n = x + 10; l = w + 7; z = l + 13; q = n + 17; f = 18. If f = 18, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 18", "r": "b + 9", "v": "r + 3", "d": "v + 8", "z": "d + 16", "w": "z + 4", "y": "o + 11", "m": "y + 20", "f": "m + 6", "n": "f + 1", "x": "n + 1", "p": "x + 6", "o": 14}, "premises": {"o": 14}, "target": "w"}, "answer": {"steps": [["z", "d + 16", "d + 20"], ["d", "v + 8", "v + 28"], ["v", "r + 3", "r + 31"], ["r", "b + 9", "b + 40"], ["b", "o + 18", "o + 58"], ["o", 14, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"o": 14}, "is_reverse": true}}
| 1,050
| 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 = o + 11; p = x + 6; r = b + 9; o = 14; w = z + 4; b = o + 18; f = m + 6; x = n + 1; m = y + 20; d = v + 8; n = f + 1; z = d + 16; v = r + 3. If o = 14, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 16 to w, which gives w = d + 20.\n2. Substitute d = v + 8 to w, which gives w = v + 28.\n3. Substitute v = r + 3 to w, which gives w = r + 31.\n4. Substitute r = b + 9 to w, which gives w = b + 40.\n5. Substitute b = o + 18 to w, which gives w = o + 58.\n6. Substitute o = 14 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 1050,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = o + 11; p = x + 6; r = b + 9; o = 14; w = z + 4; b = o + 18; f = m + 6; x = n + 1; m = y + 20; d = v + 8; n = f + 1; z = d + 16; v = r + 3. If o = 14, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"w": "f + 15", "c": "w + 19", "e": "c + 1", "d": "e + 7", "o": "d + 15", "m": "o + 3", "z": "f + 8", "n": "z + 4", "q": "n + 8", "t": "q + 14", "r": "t + 7", "y": "r + 10", "f": 10}, "premises": {"f": 10}, "target": "m"}, "answer": {"steps": [["o", "d + 15", "d + 18"], ["d", "e + 7", "e + 25"], ["e", "c + 1", "c + 26"], ["c", "w + 19", "w + 45"], ["w", "f + 15", "f + 60"], ["f", 10, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"f": 10}, "is_reverse": true}}
| 1,051
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 7; d = e + 7; o = d + 15; w = f + 15; t = q + 14; m = o + 3; q = n + 8; f = 10; z = f + 8; c = w + 19; n = z + 4; y = r + 10; e = c + 1. If f = 10, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 15 to m, which gives m = d + 18.\n2. Substitute d = e + 7 to m, which gives m = e + 25.\n3. Substitute e = c + 1 to m, which gives m = c + 26.\n4. Substitute c = w + 19 to m, which gives m = w + 45.\n5. Substitute w = f + 15 to m, which gives m = f + 60.\n6. Substitute f = 10 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 1051,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 7; d = e + 7; o = d + 15; w = f + 15; t = q + 14; m = o + 3; q = n + 8; f = 10; z = f + 8; c = w + 19; n = z + 4; y = r + 10; e = c + 1. If f = 10, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"r": "d + 15", "a": "r + 13", "k": "a + 1", "b": "k + 17", "e": "b + 14", "z": "e + 8", "p": "d + 19", "u": "p + 6", "i": "u + 20", "y": "i + 13", "l": "y + 4", "c": "l + 3", "d": 20}, "premises": {"d": 20}, "target": "z"}, "answer": {"steps": [["e", "b + 14", "b + 22"], ["b", "k + 17", "k + 39"], ["k", "a + 1", "a + 40"], ["a", "r + 13", "r + 53"], ["r", "d + 15", "d + 68"], ["d", 20, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"d": 20}, "is_reverse": true}}
| 1,052
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 1; c = l + 3; i = u + 20; a = r + 13; y = i + 13; p = d + 19; e = b + 14; z = e + 8; r = d + 15; l = y + 4; b = k + 17; d = 20; u = p + 6. If d = 20, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 14 to z, which gives z = b + 22.\n2. Substitute b = k + 17 to z, which gives z = k + 39.\n3. Substitute k = a + 1 to z, which gives z = a + 40.\n4. Substitute a = r + 13 to z, which gives z = r + 53.\n5. Substitute r = d + 15 to z, which gives z = d + 68.\n6. Substitute d = 20 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 1052,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 1; c = l + 3; i = u + 20; a = r + 13; y = i + 13; p = d + 19; e = b + 14; z = e + 8; r = d + 15; l = y + 4; b = k + 17; d = 20; u = p + 6. If d = 20, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"v": "e + 14", "l": "v + 12", "d": "l + 18", "x": "d + 20", "w": "x + 2", "s": "w + 14", "j": "e + 14", "y": "j + 15", "p": "y + 12", "o": "p + 1", "k": "o + 11", "g": "k + 11", "e": 18}, "premises": {"e": 18}, "target": "s"}, "answer": {"steps": [["w", "x + 2", "x + 16"], ["x", "d + 20", "d + 36"], ["d", "l + 18", "l + 54"], ["l", "v + 12", "v + 66"], ["v", "e + 14", "e + 80"], ["e", 18, "98"]], "target_var_name": "s", "target_value": 98, "value_dict": {"e": 18}, "is_reverse": true}}
| 1,053
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 14; e = 18; g = k + 11; o = p + 1; x = d + 20; k = o + 11; s = w + 14; p = y + 12; w = x + 2; l = v + 12; d = l + 18; v = e + 14; y = j + 15. If e = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 2 to s, which gives s = x + 16.\n2. Substitute x = d + 20 to s, which gives s = d + 36.\n3. Substitute d = l + 18 to s, which gives s = l + 54.\n4. Substitute l = v + 12 to s, which gives s = v + 66.\n5. Substitute v = e + 14 to s, which gives s = e + 80.\n6. Substitute e = 18 to s, which gives s = 98.\n\nThus, the final answer is s = \\boxed{98}.",
"index": 1053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 14; e = 18; g = k + 11; o = p + 1; x = d + 20; k = o + 11; s = w + 14; p = y + 12; w = x + 2; l = v + 12; d = l + 18; v = e + 14; y = j + 15. If e = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 18", "s": "w + 18", "h": "s + 12", "x": "h + 7", "q": "x + 15", "p": "q + 4", "l": "c + 13", "d": "l + 2", "i": "d + 17", "t": "i + 10", "b": "t + 7", "e": "b + 3", "c": 20}, "premises": {"c": 20}, "target": "p"}, "answer": {"steps": [["q", "x + 15", "x + 19"], ["x", "h + 7", "h + 26"], ["h", "s + 12", "s + 38"], ["s", "w + 18", "w + 56"], ["w", "c + 18", "c + 74"], ["c", 20, "94"]], "target_var_name": "p", "target_value": 94, "value_dict": {"c": 20}, "is_reverse": true}}
| 1,054
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 20; p = q + 4; s = w + 18; q = x + 15; l = c + 13; e = b + 3; i = d + 17; d = l + 2; b = t + 7; w = c + 18; t = i + 10; x = h + 7; h = s + 12. If c = 20, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 15 to p, which gives p = x + 19.\n2. Substitute x = h + 7 to p, which gives p = h + 26.\n3. Substitute h = s + 12 to p, which gives p = s + 38.\n4. Substitute s = w + 18 to p, which gives p = w + 56.\n5. Substitute w = c + 18 to p, which gives p = c + 74.\n6. Substitute c = 20 to p, which gives p = 94.\n\nThus, the final answer is p = \\boxed{94}.",
"index": 1054,
"question": "Consider a system of variables where each variable is defined as follows: c = 20; p = q + 4; s = w + 18; q = x + 15; l = c + 13; e = b + 3; i = d + 17; d = l + 2; b = t + 7; w = c + 18; t = i + 10; x = h + 7; h = s + 12. If c = 20, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"r": "x + 6", "e": "r + 17", "m": "e + 18", "j": "m + 2", "c": "j + 7", "w": "c + 3", "n": "x + 4", "h": "n + 1", "i": "h + 5", "b": "i + 16", "t": "b + 20", "f": "t + 11", "x": 20}, "premises": {"x": 20}, "target": "w"}, "answer": {"steps": [["c", "j + 7", "j + 10"], ["j", "m + 2", "m + 12"], ["m", "e + 18", "e + 30"], ["e", "r + 17", "r + 47"], ["r", "x + 6", "x + 53"], ["x", 20, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"x": 20}, "is_reverse": true}}
| 1,055
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 11; b = i + 16; t = b + 20; c = j + 7; x = 20; w = c + 3; n = x + 4; m = e + 18; j = m + 2; i = h + 5; e = r + 17; r = x + 6; h = n + 1. If x = 20, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 7 to w, which gives w = j + 10.\n2. Substitute j = m + 2 to w, which gives w = m + 12.\n3. Substitute m = e + 18 to w, which gives w = e + 30.\n4. Substitute e = r + 17 to w, which gives w = r + 47.\n5. Substitute r = x + 6 to w, which gives w = x + 53.\n6. Substitute x = 20 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 1055,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 11; b = i + 16; t = b + 20; c = j + 7; x = 20; w = c + 3; n = x + 4; m = e + 18; j = m + 2; i = h + 5; e = r + 17; r = x + 6; h = n + 1. If x = 20, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"n": "a + 16", "q": "n + 7", "d": "q + 17", "m": "d + 18", "g": "m + 7", "h": "g + 10", "z": "a + 1", "e": "z + 16", "x": "e + 17", "o": "x + 13", "r": "o + 12", "s": "r + 20", "a": 17}, "premises": {"a": 17}, "target": "h"}, "answer": {"steps": [["g", "m + 7", "m + 17"], ["m", "d + 18", "d + 35"], ["d", "q + 17", "q + 52"], ["q", "n + 7", "n + 59"], ["n", "a + 16", "a + 75"], ["a", 17, "92"]], "target_var_name": "h", "target_value": 92, "value_dict": {"a": 17}, "is_reverse": true}}
| 1,056
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = g + 10; g = m + 7; s = r + 20; n = a + 16; d = q + 17; o = x + 13; z = a + 1; r = o + 12; q = n + 7; a = 17; e = z + 16; x = e + 17; m = d + 18. Given that a = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 7 to h, which gives h = m + 17.\n2. Substitute m = d + 18 to h, which gives h = d + 35.\n3. Substitute d = q + 17 to h, which gives h = q + 52.\n4. Substitute q = n + 7 to h, which gives h = n + 59.\n5. Substitute n = a + 16 to h, which gives h = a + 75.\n6. Substitute a = 17 to h, which gives h = 92.\n\nThus, the final answer is h = \\boxed{92}.",
"index": 1056,
"question": "Suppose a collection of variables is related by the following definitions: h = g + 10; g = m + 7; s = r + 20; n = a + 16; d = q + 17; o = x + 13; z = a + 1; r = o + 12; q = n + 7; a = 17; e = z + 16; x = e + 17; m = d + 18. Given that a = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 16", "k": "o + 1", "w": "k + 20", "b": "w + 15", "n": "b + 10", "v": "n + 7", "s": "j + 20", "g": "s + 13", "y": "g + 5", "m": "y + 12", "z": "m + 6", "t": "z + 13", "j": 6}, "premises": {"j": 6}, "target": "v"}, "answer": {"steps": [["n", "b + 10", "b + 17"], ["b", "w + 15", "w + 32"], ["w", "k + 20", "k + 52"], ["k", "o + 1", "o + 53"], ["o", "j + 16", "j + 69"], ["j", 6, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"j": 6}, "is_reverse": true}}
| 1,057
| 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 = y + 12; z = m + 6; s = j + 20; v = n + 7; o = j + 16; y = g + 5; w = k + 20; b = w + 15; g = s + 13; j = 6; k = o + 1; t = z + 13; n = b + 10. If j = 6, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 10 to v, which gives v = b + 17.\n2. Substitute b = w + 15 to v, which gives v = w + 32.\n3. Substitute w = k + 20 to v, which gives v = k + 52.\n4. Substitute k = o + 1 to v, which gives v = o + 53.\n5. Substitute o = j + 16 to v, which gives v = j + 69.\n6. Substitute j = 6 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 1057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 12; z = m + 6; s = j + 20; v = n + 7; o = j + 16; y = g + 5; w = k + 20; b = w + 15; g = s + 13; j = 6; k = o + 1; t = z + 13; n = b + 10. If j = 6, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 1", "a": "e + 15", "k": "a + 4", "w": "k + 11", "i": "w + 11", "j": "i + 19", "b": "z + 14", "p": "b + 12", "t": "p + 16", "q": "t + 20", "g": "q + 20", "s": "g + 5", "z": 1}, "premises": {"z": 1}, "target": "j"}, "answer": {"steps": [["i", "w + 11", "w + 30"], ["w", "k + 11", "k + 41"], ["k", "a + 4", "a + 45"], ["a", "e + 15", "e + 60"], ["e", "z + 1", "z + 61"], ["z", 1, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"z": 1}, "is_reverse": true}}
| 1,058
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 15; i = w + 11; b = z + 14; w = k + 11; q = t + 20; k = a + 4; e = z + 1; t = p + 16; p = b + 12; g = q + 20; z = 1; j = i + 19; s = g + 5. If z = 1, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 11 to j, which gives j = w + 30.\n2. Substitute w = k + 11 to j, which gives j = k + 41.\n3. Substitute k = a + 4 to j, which gives j = a + 45.\n4. Substitute a = e + 15 to j, which gives j = e + 60.\n5. Substitute e = z + 1 to j, which gives j = z + 61.\n6. Substitute z = 1 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 1058,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 15; i = w + 11; b = z + 14; w = k + 11; q = t + 20; k = a + 4; e = z + 1; t = p + 16; p = b + 12; g = q + 20; z = 1; j = i + 19; s = g + 5. If z = 1, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 11", "d": "p + 16", "s": "d + 13", "j": "s + 6", "q": "j + 10", "c": "q + 3", "g": "i + 9", "k": "g + 2", "h": "k + 16", "y": "h + 8", "n": "y + 12", "z": "n + 13", "i": 3}, "premises": {"i": 3}, "target": "c"}, "answer": {"steps": [["q", "j + 10", "j + 13"], ["j", "s + 6", "s + 19"], ["s", "d + 13", "d + 32"], ["d", "p + 16", "p + 48"], ["p", "i + 11", "i + 59"], ["i", 3, "62"]], "target_var_name": "c", "target_value": 62, "value_dict": {"i": 3}, "is_reverse": true}}
| 1,059
| 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 = n + 13; p = i + 11; d = p + 16; n = y + 12; s = d + 13; g = i + 9; y = h + 8; h = k + 16; i = 3; c = q + 3; q = j + 10; j = s + 6; k = g + 2. If i = 3, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 10 to c, which gives c = j + 13.\n2. Substitute j = s + 6 to c, which gives c = s + 19.\n3. Substitute s = d + 13 to c, which gives c = d + 32.\n4. Substitute d = p + 16 to c, which gives c = p + 48.\n5. Substitute p = i + 11 to c, which gives c = i + 59.\n6. Substitute i = 3 to c, which gives c = 62.\n\nThus, the final answer is c = \\boxed{62}.",
"index": 1059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = n + 13; p = i + 11; d = p + 16; n = y + 12; s = d + 13; g = i + 9; y = h + 8; h = k + 16; i = 3; c = q + 3; q = j + 10; j = s + 6; k = g + 2. If i = 3, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 17", "g": "p + 6", "o": "g + 18", "l": "o + 18", "z": "l + 11", "a": "z + 10", "m": "n + 13", "c": "m + 8", "y": "c + 15", "d": "y + 16", "r": "d + 7", "t": "r + 2", "n": 2}, "premises": {"n": 2}, "target": "a"}, "answer": {"steps": [["z", "l + 11", "l + 21"], ["l", "o + 18", "o + 39"], ["o", "g + 18", "g + 57"], ["g", "p + 6", "p + 63"], ["p", "n + 17", "n + 80"], ["n", 2, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"n": 2}, "is_reverse": true}}
| 1,060
| 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 = g + 18; l = o + 18; n = 2; r = d + 7; p = n + 17; d = y + 16; g = p + 6; a = z + 10; y = c + 15; z = l + 11; t = r + 2; m = n + 13; c = m + 8. If n = 2, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 11 to a, which gives a = l + 21.\n2. Substitute l = o + 18 to a, which gives a = o + 39.\n3. Substitute o = g + 18 to a, which gives a = g + 57.\n4. Substitute g = p + 6 to a, which gives a = p + 63.\n5. Substitute p = n + 17 to a, which gives a = n + 80.\n6. Substitute n = 2 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 1060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 18; l = o + 18; n = 2; r = d + 7; p = n + 17; d = y + 16; g = p + 6; a = z + 10; y = c + 15; z = l + 11; t = r + 2; m = n + 13; c = m + 8. If n = 2, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 9", "y": "e + 10", "p": "y + 8", "f": "p + 16", "x": "f + 18", "g": "x + 17", "r": "v + 13", "w": "r + 18", "b": "w + 17", "i": "b + 7", "o": "i + 18", "a": "o + 17", "v": 15}, "premises": {"v": 15}, "target": "g"}, "answer": {"steps": [["x", "f + 18", "f + 35"], ["f", "p + 16", "p + 51"], ["p", "y + 8", "y + 59"], ["y", "e + 10", "e + 69"], ["e", "v + 9", "v + 78"], ["v", 15, "93"]], "target_var_name": "g", "target_value": 93, "value_dict": {"v": 15}, "is_reverse": true}}
| 1,061
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 18; w = r + 18; v = 15; r = v + 13; e = v + 9; p = y + 8; a = o + 17; i = b + 7; x = f + 18; f = p + 16; b = w + 17; g = x + 17; y = e + 10. If v = 15, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 18 to g, which gives g = f + 35.\n2. Substitute f = p + 16 to g, which gives g = p + 51.\n3. Substitute p = y + 8 to g, which gives g = y + 59.\n4. Substitute y = e + 10 to g, which gives g = e + 69.\n5. Substitute e = v + 9 to g, which gives g = v + 78.\n6. Substitute v = 15 to g, which gives g = 93.\n\nThus, the final answer is g = \\boxed{93}.",
"index": 1061,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 18; w = r + 18; v = 15; r = v + 13; e = v + 9; p = y + 8; a = o + 17; i = b + 7; x = f + 18; f = p + 16; b = w + 17; g = x + 17; y = e + 10. If v = 15, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"b": "r + 20", "l": "b + 17", "h": "l + 15", "w": "h + 18", "j": "w + 13", "p": "j + 2", "t": "r + 2", "y": "t + 15", "v": "y + 7", "g": "v + 14", "f": "g + 4", "e": "f + 7", "r": 5}, "premises": {"r": 5}, "target": "p"}, "answer": {"steps": [["j", "w + 13", "w + 15"], ["w", "h + 18", "h + 33"], ["h", "l + 15", "l + 48"], ["l", "b + 17", "b + 65"], ["b", "r + 20", "r + 85"], ["r", 5, "90"]], "target_var_name": "p", "target_value": 90, "value_dict": {"r": 5}, "is_reverse": true}}
| 1,062
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 15; h = l + 15; r = 5; b = r + 20; v = y + 7; w = h + 18; p = j + 2; e = f + 7; l = b + 17; f = g + 4; t = r + 2; j = w + 13; g = v + 14. If r = 5, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 13 to p, which gives p = w + 15.\n2. Substitute w = h + 18 to p, which gives p = h + 33.\n3. Substitute h = l + 15 to p, which gives p = l + 48.\n4. Substitute l = b + 17 to p, which gives p = b + 65.\n5. Substitute b = r + 20 to p, which gives p = r + 85.\n6. Substitute r = 5 to p, which gives p = 90.\n\nThus, the final answer is p = \\boxed{90}.",
"index": 1062,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 15; h = l + 15; r = 5; b = r + 20; v = y + 7; w = h + 18; p = j + 2; e = f + 7; l = b + 17; f = g + 4; t = r + 2; j = w + 13; g = v + 14. If r = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 20", "s": "e + 13", "v": "s + 13", "c": "v + 2", "u": "c + 1", "h": "u + 2", "q": "w + 20", "k": "q + 8", "o": "k + 12", "t": "o + 3", "f": "t + 10", "m": "f + 17", "w": 9}, "premises": {"w": 9}, "target": "h"}, "answer": {"steps": [["u", "c + 1", "c + 3"], ["c", "v + 2", "v + 5"], ["v", "s + 13", "s + 18"], ["s", "e + 13", "e + 31"], ["e", "w + 20", "w + 51"], ["w", 9, "60"]], "target_var_name": "h", "target_value": 60, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,063
| 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 = w + 20; t = o + 3; h = u + 2; c = v + 2; m = f + 17; u = c + 1; k = q + 8; w = 9; s = e + 13; f = t + 10; q = w + 20; o = k + 12; v = s + 13. If w = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 1 to h, which gives h = c + 3.\n2. Substitute c = v + 2 to h, which gives h = v + 5.\n3. Substitute v = s + 13 to h, which gives h = s + 18.\n4. Substitute s = e + 13 to h, which gives h = e + 31.\n5. Substitute e = w + 20 to h, which gives h = w + 51.\n6. Substitute w = 9 to h, which gives h = 60.\n\nThus, the final answer is h = \\boxed{60}.",
"index": 1063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 20; t = o + 3; h = u + 2; c = v + 2; m = f + 17; u = c + 1; k = q + 8; w = 9; s = e + 13; f = t + 10; q = w + 20; o = k + 12; v = s + 13. If w = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"d": "x + 8", "i": "d + 15", "f": "i + 18", "g": "f + 4", "v": "g + 7", "c": "v + 1", "e": "x + 4", "t": "e + 13", "u": "t + 4", "w": "u + 10", "b": "w + 14", "l": "b + 5", "x": 2}, "premises": {"x": 2}, "target": "c"}, "answer": {"steps": [["v", "g + 7", "g + 8"], ["g", "f + 4", "f + 12"], ["f", "i + 18", "i + 30"], ["i", "d + 15", "d + 45"], ["d", "x + 8", "x + 53"], ["x", 2, "55"]], "target_var_name": "c", "target_value": 55, "value_dict": {"x": 2}, "is_reverse": true}}
| 1,064
| 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 = u + 10; t = e + 13; c = v + 1; v = g + 7; f = i + 18; i = d + 15; x = 2; l = b + 5; e = x + 4; u = t + 4; d = x + 8; b = w + 14; g = f + 4. If x = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 7 to c, which gives c = g + 8.\n2. Substitute g = f + 4 to c, which gives c = f + 12.\n3. Substitute f = i + 18 to c, which gives c = i + 30.\n4. Substitute i = d + 15 to c, which gives c = d + 45.\n5. Substitute d = x + 8 to c, which gives c = x + 53.\n6. Substitute x = 2 to c, which gives c = 55.\n\nThus, the final answer is c = \\boxed{55}.",
"index": 1064,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = u + 10; t = e + 13; c = v + 1; v = g + 7; f = i + 18; i = d + 15; x = 2; l = b + 5; e = x + 4; u = t + 4; d = x + 8; b = w + 14; g = f + 4. If x = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 8", "r": "o + 20", "h": "r + 17", "t": "h + 2", "s": "t + 20", "l": "s + 18", "i": "u + 8", "x": "i + 8", "m": "x + 5", "c": "m + 12", "k": "c + 16", "p": "k + 2", "u": 6}, "premises": {"u": 6}, "target": "l"}, "answer": {"steps": [["s", "t + 20", "t + 38"], ["t", "h + 2", "h + 40"], ["h", "r + 17", "r + 57"], ["r", "o + 20", "o + 77"], ["o", "u + 8", "u + 85"], ["u", 6, "91"]], "target_var_name": "l", "target_value": 91, "value_dict": {"u": 6}, "is_reverse": true}}
| 1,065
| 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 = r + 17; r = o + 20; u = 6; p = k + 2; i = u + 8; c = m + 12; o = u + 8; t = h + 2; k = c + 16; l = s + 18; m = x + 5; s = t + 20; x = i + 8. If u = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 20 to l, which gives l = t + 38.\n2. Substitute t = h + 2 to l, which gives l = h + 40.\n3. Substitute h = r + 17 to l, which gives l = r + 57.\n4. Substitute r = o + 20 to l, which gives l = o + 77.\n5. Substitute o = u + 8 to l, which gives l = u + 85.\n6. Substitute u = 6 to l, which gives l = 91.\n\nThus, the final answer is l = \\boxed{91}.",
"index": 1065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = r + 17; r = o + 20; u = 6; p = k + 2; i = u + 8; c = m + 12; o = u + 8; t = h + 2; k = c + 16; l = s + 18; m = x + 5; s = t + 20; x = i + 8. If u = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 5", "n": "i + 7", "t": "n + 6", "v": "t + 7", "g": "v + 6", "d": "g + 7", "x": "j + 5", "h": "x + 15", "f": "h + 8", "u": "f + 5", "o": "u + 9", "l": "o + 11", "j": 13}, "premises": {"j": 13}, "target": "d"}, "answer": {"steps": [["g", "v + 6", "v + 13"], ["v", "t + 7", "t + 20"], ["t", "n + 6", "n + 26"], ["n", "i + 7", "i + 33"], ["i", "j + 5", "j + 38"], ["j", 13, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"j": 13}, "is_reverse": true}}
| 1,066
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 5; v = t + 7; t = n + 6; u = f + 5; l = o + 11; h = x + 15; x = j + 5; j = 13; o = u + 9; n = i + 7; d = g + 7; f = h + 8; g = v + 6. Given that j = 13, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 6 to d, which gives d = v + 13.\n2. Substitute v = t + 7 to d, which gives d = t + 20.\n3. Substitute t = n + 6 to d, which gives d = n + 26.\n4. Substitute n = i + 7 to d, which gives d = i + 33.\n5. Substitute i = j + 5 to d, which gives d = j + 38.\n6. Substitute j = 13 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 1066,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 5; v = t + 7; t = n + 6; u = f + 5; l = o + 11; h = x + 15; x = j + 5; j = 13; o = u + 9; n = i + 7; d = g + 7; f = h + 8; g = v + 6. Given that j = 13, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 5", "u": "q + 16", "r": "u + 6", "x": "r + 4", "z": "x + 14", "c": "z + 5", "l": "k + 15", "f": "l + 18", "i": "f + 7", "j": "i + 19", "d": "j + 13", "s": "d + 6", "k": 20}, "premises": {"k": 20}, "target": "c"}, "answer": {"steps": [["z", "x + 14", "x + 19"], ["x", "r + 4", "r + 23"], ["r", "u + 6", "u + 29"], ["u", "q + 16", "q + 45"], ["q", "k + 5", "k + 50"], ["k", 20, "70"]], "target_var_name": "c", "target_value": 70, "value_dict": {"k": 20}, "is_reverse": true}}
| 1,067
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 7; j = i + 19; c = z + 5; l = k + 15; z = x + 14; d = j + 13; r = u + 6; q = k + 5; x = r + 4; k = 20; s = d + 6; u = q + 16; f = l + 18. If k = 20, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 14 to c, which gives c = x + 19.\n2. Substitute x = r + 4 to c, which gives c = r + 23.\n3. Substitute r = u + 6 to c, which gives c = u + 29.\n4. Substitute u = q + 16 to c, which gives c = q + 45.\n5. Substitute q = k + 5 to c, which gives c = k + 50.\n6. Substitute k = 20 to c, which gives c = 70.\n\nThus, the final answer is c = \\boxed{70}.",
"index": 1067,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 7; j = i + 19; c = z + 5; l = k + 15; z = x + 14; d = j + 13; r = u + 6; q = k + 5; x = r + 4; k = 20; s = d + 6; u = q + 16; f = l + 18. If k = 20, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "e + 12", "s": "y + 11", "t": "s + 19", "l": "t + 13", "p": "l + 7", "r": "p + 18", "i": "e + 1", "c": "i + 14", "k": "c + 11", "o": "k + 3", "x": "o + 10", "n": "x + 7", "e": 1}, "premises": {"e": 1}, "target": "r"}, "answer": {"steps": [["p", "l + 7", "l + 25"], ["l", "t + 13", "t + 38"], ["t", "s + 19", "s + 57"], ["s", "y + 11", "y + 68"], ["y", "e + 12", "e + 80"], ["e", 1, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"e": 1}, "is_reverse": true}}
| 1,068
| 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 = i + 14; o = k + 3; p = l + 7; l = t + 13; s = y + 11; i = e + 1; x = o + 10; k = c + 11; r = p + 18; y = e + 12; e = 1; n = x + 7; t = s + 19. If e = 1, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 7 to r, which gives r = l + 25.\n2. Substitute l = t + 13 to r, which gives r = t + 38.\n3. Substitute t = s + 19 to r, which gives r = s + 57.\n4. Substitute s = y + 11 to r, which gives r = y + 68.\n5. Substitute y = e + 12 to r, which gives r = e + 80.\n6. Substitute e = 1 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 1068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = i + 14; o = k + 3; p = l + 7; l = t + 13; s = y + 11; i = e + 1; x = o + 10; k = c + 11; r = p + 18; y = e + 12; e = 1; n = x + 7; t = s + 19. If e = 1, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 8", "y": "x + 16", "w": "y + 16", "d": "w + 11", "u": "d + 15", "q": "u + 10", "n": "v + 19", "a": "n + 16", "h": "a + 9", "f": "h + 3", "l": "f + 15", "c": "l + 4", "v": 12}, "premises": {"v": 12}, "target": "q"}, "answer": {"steps": [["u", "d + 15", "d + 25"], ["d", "w + 11", "w + 36"], ["w", "y + 16", "y + 52"], ["y", "x + 16", "x + 68"], ["x", "v + 8", "v + 76"], ["v", 12, "88"]], "target_var_name": "q", "target_value": 88, "value_dict": {"v": 12}, "is_reverse": true}}
| 1,069
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = 12; n = v + 19; a = n + 16; y = x + 16; q = u + 10; l = f + 15; f = h + 3; x = v + 8; d = w + 11; u = d + 15; c = l + 4; h = a + 9; w = y + 16. If v = 12, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 15 to q, which gives q = d + 25.\n2. Substitute d = w + 11 to q, which gives q = w + 36.\n3. Substitute w = y + 16 to q, which gives q = y + 52.\n4. Substitute y = x + 16 to q, which gives q = x + 68.\n5. Substitute x = v + 8 to q, which gives q = v + 76.\n6. Substitute v = 12 to q, which gives q = 88.\n\nThus, the final answer is q = \\boxed{88}.",
"index": 1069,
"question": "Consider a system of variables where each variable is defined as follows: v = 12; n = v + 19; a = n + 16; y = x + 16; q = u + 10; l = f + 15; f = h + 3; x = v + 8; d = w + 11; u = d + 15; c = l + 4; h = a + 9; w = y + 16. If v = 12, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 2", "h": "m + 7", "d": "h + 1", "p": "d + 3", "r": "p + 17", "c": "r + 20", "y": "o + 3", "q": "y + 12", "b": "q + 18", "u": "b + 6", "n": "u + 3", "l": "n + 3", "o": 9}, "premises": {"o": 9}, "target": "c"}, "answer": {"steps": [["r", "p + 17", "p + 37"], ["p", "d + 3", "d + 40"], ["d", "h + 1", "h + 41"], ["h", "m + 7", "m + 48"], ["m", "o + 2", "o + 50"], ["o", 9, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"o": 9}, "is_reverse": true}}
| 1,070
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 1; o = 9; h = m + 7; m = o + 2; c = r + 20; b = q + 18; u = b + 6; q = y + 12; r = p + 17; n = u + 3; y = o + 3; l = n + 3; p = d + 3. If o = 9, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = p + 17 to c, which gives c = p + 37.\n2. Substitute p = d + 3 to c, which gives c = d + 40.\n3. Substitute d = h + 1 to c, which gives c = h + 41.\n4. Substitute h = m + 7 to c, which gives c = m + 48.\n5. Substitute m = o + 2 to c, which gives c = o + 50.\n6. Substitute o = 9 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 1070,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 1; o = 9; h = m + 7; m = o + 2; c = r + 20; b = q + 18; u = b + 6; q = y + 12; r = p + 17; n = u + 3; y = o + 3; l = n + 3; p = d + 3. If o = 9, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 11", "p": "y + 16", "e": "p + 19", "s": "e + 13", "v": "s + 1", "o": "v + 17", "l": "f + 12", "a": "l + 15", "b": "a + 8", "j": "b + 4", "w": "j + 19", "k": "w + 12", "f": 2}, "premises": {"f": 2}, "target": "o"}, "answer": {"steps": [["v", "s + 1", "s + 18"], ["s", "e + 13", "e + 31"], ["e", "p + 19", "p + 50"], ["p", "y + 16", "y + 66"], ["y", "f + 11", "f + 77"], ["f", 2, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"f": 2}, "is_reverse": true}}
| 1,071
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = p + 19; a = l + 15; v = s + 1; y = f + 11; k = w + 12; o = v + 17; w = j + 19; l = f + 12; b = a + 8; s = e + 13; j = b + 4; p = y + 16; f = 2. If f = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 1 to o, which gives o = s + 18.\n2. Substitute s = e + 13 to o, which gives o = e + 31.\n3. Substitute e = p + 19 to o, which gives o = p + 50.\n4. Substitute p = y + 16 to o, which gives o = y + 66.\n5. Substitute y = f + 11 to o, which gives o = f + 77.\n6. Substitute f = 2 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 1071,
"question": "Consider a system of variables where each variable is defined as follows: e = p + 19; a = l + 15; v = s + 1; y = f + 11; k = w + 12; o = v + 17; w = j + 19; l = f + 12; b = a + 8; s = e + 13; j = b + 4; p = y + 16; f = 2. If f = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 8", "m": "h + 19", "w": "m + 9", "e": "w + 19", "l": "e + 9", "g": "l + 18", "z": "u + 18", "c": "z + 10", "y": "c + 16", "f": "y + 14", "t": "f + 3", "v": "t + 19", "u": 9}, "premises": {"u": 9}, "target": "g"}, "answer": {"steps": [["l", "e + 9", "e + 27"], ["e", "w + 19", "w + 46"], ["w", "m + 9", "m + 55"], ["m", "h + 19", "h + 74"], ["h", "u + 8", "u + 82"], ["u", 9, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"u": 9}, "is_reverse": true}}
| 1,072
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 19; h = u + 8; y = c + 16; m = h + 19; c = z + 10; t = f + 3; z = u + 18; w = m + 9; u = 9; e = w + 19; l = e + 9; g = l + 18; f = y + 14. If u = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 9 to g, which gives g = e + 27.\n2. Substitute e = w + 19 to g, which gives g = w + 46.\n3. Substitute w = m + 9 to g, which gives g = m + 55.\n4. Substitute m = h + 19 to g, which gives g = h + 74.\n5. Substitute h = u + 8 to g, which gives g = u + 82.\n6. Substitute u = 9 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 1072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 19; h = u + 8; y = c + 16; m = h + 19; c = z + 10; t = f + 3; z = u + 18; w = m + 9; u = 9; e = w + 19; l = e + 9; g = l + 18; f = y + 14. If u = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "m + 20", "n": "p + 13", "i": "n + 4", "e": "i + 20", "w": "e + 17", "x": "w + 2", "y": "m + 5", "f": "y + 14", "a": "f + 6", "t": "a + 2", "g": "t + 17", "b": "g + 12", "m": 13}, "premises": {"m": 13}, "target": "x"}, "answer": {"steps": [["w", "e + 17", "e + 19"], ["e", "i + 20", "i + 39"], ["i", "n + 4", "n + 43"], ["n", "p + 13", "p + 56"], ["p", "m + 20", "m + 76"], ["m", 13, "89"]], "target_var_name": "x", "target_value": 89, "value_dict": {"m": 13}, "is_reverse": true}}
| 1,073
| 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 = e + 17; p = m + 20; y = m + 5; f = y + 14; n = p + 13; x = w + 2; g = t + 17; m = 13; e = i + 20; t = a + 2; a = f + 6; i = n + 4; b = g + 12. If m = 13, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 17 to x, which gives x = e + 19.\n2. Substitute e = i + 20 to x, which gives x = i + 39.\n3. Substitute i = n + 4 to x, which gives x = n + 43.\n4. Substitute n = p + 13 to x, which gives x = p + 56.\n5. Substitute p = m + 20 to x, which gives x = m + 76.\n6. Substitute m = 13 to x, which gives x = 89.\n\nThus, the final answer is x = \\boxed{89}.",
"index": 1073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 17; p = m + 20; y = m + 5; f = y + 14; n = p + 13; x = w + 2; g = t + 17; m = 13; e = i + 20; t = a + 2; a = f + 6; i = n + 4; b = g + 12. If m = 13, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 5", "h": "z + 12", "p": "h + 17", "l": "p + 13", "b": "l + 3", "k": "b + 14", "o": "t + 1", "g": "o + 10", "n": "g + 2", "f": "n + 1", "y": "f + 7", "i": "y + 3", "t": 8}, "premises": {"t": 8}, "target": "k"}, "answer": {"steps": [["b", "l + 3", "l + 17"], ["l", "p + 13", "p + 30"], ["p", "h + 17", "h + 47"], ["h", "z + 12", "z + 59"], ["z", "t + 5", "t + 64"], ["t", 8, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,074
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 1; p = h + 17; n = g + 2; t = 8; g = o + 10; k = b + 14; l = p + 13; o = t + 1; z = t + 5; b = l + 3; i = y + 3; y = f + 7; h = z + 12. Given that t = 8, find the 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 b = l + 3 to k, which gives k = l + 17.\n2. Substitute l = p + 13 to k, which gives k = p + 30.\n3. Substitute p = h + 17 to k, which gives k = h + 47.\n4. Substitute h = z + 12 to k, which gives k = z + 59.\n5. Substitute z = t + 5 to k, which gives k = t + 64.\n6. Substitute t = 8 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 1074,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 1; p = h + 17; n = g + 2; t = 8; g = o + 10; k = b + 14; l = p + 13; o = t + 1; z = t + 5; b = l + 3; i = y + 3; y = f + 7; h = z + 12. Given that t = 8, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"d": "h + 13", "m": "d + 19", "u": "m + 13", "w": "u + 10", "b": "w + 19", "q": "b + 7", "f": "h + 14", "a": "f + 20", "z": "a + 19", "y": "z + 12", "e": "y + 2", "l": "e + 9", "h": 2}, "premises": {"h": 2}, "target": "q"}, "answer": {"steps": [["b", "w + 19", "w + 26"], ["w", "u + 10", "u + 36"], ["u", "m + 13", "m + 49"], ["m", "d + 19", "d + 68"], ["d", "h + 13", "h + 81"], ["h", 2, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"h": 2}, "is_reverse": true}}
| 1,075
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = u + 10; d = h + 13; h = 2; b = w + 19; a = f + 20; f = h + 14; q = b + 7; u = m + 13; y = z + 12; z = a + 19; e = y + 2; l = e + 9; m = d + 19. Given that h = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 19 to q, which gives q = w + 26.\n2. Substitute w = u + 10 to q, which gives q = u + 36.\n3. Substitute u = m + 13 to q, which gives q = m + 49.\n4. Substitute m = d + 19 to q, which gives q = d + 68.\n5. Substitute d = h + 13 to q, which gives q = h + 81.\n6. Substitute h = 2 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 1075,
"question": "Suppose a collection of variables is related by the following definitions: w = u + 10; d = h + 13; h = 2; b = w + 19; a = f + 20; f = h + 14; q = b + 7; u = m + 13; y = z + 12; z = a + 19; e = y + 2; l = e + 9; m = d + 19. Given that h = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 20", "i": "n + 13", "v": "i + 7", "j": "v + 6", "s": "j + 15", "c": "s + 15", "d": "q + 9", "x": "d + 16", "e": "x + 6", "w": "e + 13", "r": "w + 18", "l": "r + 13", "q": 3}, "premises": {"q": 3}, "target": "c"}, "answer": {"steps": [["s", "j + 15", "j + 30"], ["j", "v + 6", "v + 36"], ["v", "i + 7", "i + 43"], ["i", "n + 13", "n + 56"], ["n", "q + 20", "q + 76"], ["q", 3, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"q": 3}, "is_reverse": true}}
| 1,076
| 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 = d + 16; e = x + 6; w = e + 13; l = r + 13; s = j + 15; q = 3; c = s + 15; i = n + 13; r = w + 18; v = i + 7; j = v + 6; d = q + 9; n = q + 20. If q = 3, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 15 to c, which gives c = j + 30.\n2. Substitute j = v + 6 to c, which gives c = v + 36.\n3. Substitute v = i + 7 to c, which gives c = i + 43.\n4. Substitute i = n + 13 to c, which gives c = n + 56.\n5. Substitute n = q + 20 to c, which gives c = q + 76.\n6. Substitute q = 3 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 1076,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = d + 16; e = x + 6; w = e + 13; l = r + 13; s = j + 15; q = 3; c = s + 15; i = n + 13; r = w + 18; v = i + 7; j = v + 6; d = q + 9; n = q + 20. If q = 3, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"y": "a + 1", "z": "y + 4", "w": "z + 10", "q": "w + 8", "b": "q + 13", "v": "b + 16", "g": "a + 5", "j": "g + 19", "u": "j + 18", "k": "u + 19", "o": "k + 7", "x": "o + 17", "a": 4}, "premises": {"a": 4}, "target": "v"}, "answer": {"steps": [["b", "q + 13", "q + 29"], ["q", "w + 8", "w + 37"], ["w", "z + 10", "z + 47"], ["z", "y + 4", "y + 51"], ["y", "a + 1", "a + 52"], ["a", 4, "56"]], "target_var_name": "v", "target_value": 56, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,077
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = y + 4; j = g + 19; a = 4; u = j + 18; y = a + 1; o = k + 7; w = z + 10; q = w + 8; k = u + 19; b = q + 13; v = b + 16; x = o + 17; g = a + 5. If a = 4, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 13 to v, which gives v = q + 29.\n2. Substitute q = w + 8 to v, which gives v = w + 37.\n3. Substitute w = z + 10 to v, which gives v = z + 47.\n4. Substitute z = y + 4 to v, which gives v = y + 51.\n5. Substitute y = a + 1 to v, which gives v = a + 52.\n6. Substitute a = 4 to v, which gives v = 56.\n\nThus, the final answer is v = \\boxed{56}.",
"index": 1077,
"question": "Consider a system of variables where each variable is defined as follows: z = y + 4; j = g + 19; a = 4; u = j + 18; y = a + 1; o = k + 7; w = z + 10; q = w + 8; k = u + 19; b = q + 13; v = b + 16; x = o + 17; g = a + 5. If a = 4, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 10", "w": "a + 19", "k": "w + 8", "e": "k + 16", "j": "e + 20", "c": "j + 17", "l": "d + 19", "v": "l + 14", "y": "v + 14", "i": "y + 20", "g": "i + 7", "n": "g + 16", "d": 5}, "premises": {"d": 5}, "target": "c"}, "answer": {"steps": [["j", "e + 20", "e + 37"], ["e", "k + 16", "k + 53"], ["k", "w + 8", "w + 61"], ["w", "a + 19", "a + 80"], ["a", "d + 10", "d + 90"], ["d", 5, "95"]], "target_var_name": "c", "target_value": 95, "value_dict": {"d": 5}, "is_reverse": true}}
| 1,078
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = v + 14; w = a + 19; v = l + 14; e = k + 16; a = d + 10; j = e + 20; g = i + 7; k = w + 8; c = j + 17; n = g + 16; l = d + 19; d = 5; i = y + 20. Given that d = 5, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 20 to c, which gives c = e + 37.\n2. Substitute e = k + 16 to c, which gives c = k + 53.\n3. Substitute k = w + 8 to c, which gives c = w + 61.\n4. Substitute w = a + 19 to c, which gives c = a + 80.\n5. Substitute a = d + 10 to c, which gives c = d + 90.\n6. Substitute d = 5 to c, which gives c = 95.\n\nThus, the final answer is c = \\boxed{95}.",
"index": 1078,
"question": "Suppose a collection of variables is related by the following definitions: y = v + 14; w = a + 19; v = l + 14; e = k + 16; a = d + 10; j = e + 20; g = i + 7; k = w + 8; c = j + 17; n = g + 16; l = d + 19; d = 5; i = y + 20. Given that d = 5, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 14", "l": "t + 9", "m": "l + 19", "j": "m + 9", "q": "j + 4", "y": "q + 15", "k": "s + 11", "h": "k + 19", "w": "h + 12", "n": "w + 4", "o": "n + 6", "d": "o + 19", "s": 19}, "premises": {"s": 19}, "target": "y"}, "answer": {"steps": [["q", "j + 4", "j + 19"], ["j", "m + 9", "m + 28"], ["m", "l + 19", "l + 47"], ["l", "t + 9", "t + 56"], ["t", "s + 14", "s + 70"], ["s", 19, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"s": 19}, "is_reverse": true}}
| 1,079
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 11; q = j + 4; j = m + 9; m = l + 19; l = t + 9; w = h + 12; o = n + 6; t = s + 14; n = w + 4; y = q + 15; s = 19; d = o + 19; h = k + 19. If s = 19, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 4 to y, which gives y = j + 19.\n2. Substitute j = m + 9 to y, which gives y = m + 28.\n3. Substitute m = l + 19 to y, which gives y = l + 47.\n4. Substitute l = t + 9 to y, which gives y = t + 56.\n5. Substitute t = s + 14 to y, which gives y = s + 70.\n6. Substitute s = 19 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 1079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 11; q = j + 4; j = m + 9; m = l + 19; l = t + 9; w = h + 12; o = n + 6; t = s + 14; n = w + 4; y = q + 15; s = 19; d = o + 19; h = k + 19. If s = 19, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"i": "j + 19", "n": "i + 9", "q": "n + 10", "g": "q + 17", "o": "g + 18", "r": "o + 8", "e": "j + 5", "m": "e + 9", "x": "m + 2", "a": "x + 16", "s": "a + 2", "f": "s + 5", "j": 19}, "premises": {"j": 19}, "target": "r"}, "answer": {"steps": [["o", "g + 18", "g + 26"], ["g", "q + 17", "q + 43"], ["q", "n + 10", "n + 53"], ["n", "i + 9", "i + 62"], ["i", "j + 19", "j + 81"], ["j", 19, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"j": 19}, "is_reverse": true}}
| 1,080
| 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 = o + 8; x = m + 2; i = j + 19; e = j + 5; n = i + 9; j = 19; g = q + 17; m = e + 9; f = s + 5; s = a + 2; o = g + 18; a = x + 16; q = n + 10. If j = 19, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = g + 18 to r, which gives r = g + 26.\n2. Substitute g = q + 17 to r, which gives r = q + 43.\n3. Substitute q = n + 10 to r, which gives r = n + 53.\n4. Substitute n = i + 9 to r, which gives r = i + 62.\n5. Substitute i = j + 19 to r, which gives r = j + 81.\n6. Substitute j = 19 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 1080,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 8; x = m + 2; i = j + 19; e = j + 5; n = i + 9; j = 19; g = q + 17; m = e + 9; f = s + 5; s = a + 2; o = g + 18; a = x + 16; q = n + 10. If j = 19, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 9", "p": "h + 12", "x": "p + 11", "i": "x + 8", "e": "i + 5", "z": "e + 10", "c": "g + 14", "b": "c + 16", "f": "b + 14", "n": "f + 11", "y": "n + 17", "o": "y + 16", "g": 1}, "premises": {"g": 1}, "target": "z"}, "answer": {"steps": [["e", "i + 5", "i + 15"], ["i", "x + 8", "x + 23"], ["x", "p + 11", "p + 34"], ["p", "h + 12", "h + 46"], ["h", "g + 9", "g + 55"], ["g", 1, "56"]], "target_var_name": "z", "target_value": 56, "value_dict": {"g": 1}, "is_reverse": true}}
| 1,081
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 8; h = g + 9; z = e + 10; x = p + 11; c = g + 14; n = f + 11; b = c + 16; f = b + 14; p = h + 12; e = i + 5; o = y + 16; g = 1; y = n + 17. If g = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 5 to z, which gives z = i + 15.\n2. Substitute i = x + 8 to z, which gives z = x + 23.\n3. Substitute x = p + 11 to z, which gives z = p + 34.\n4. Substitute p = h + 12 to z, which gives z = h + 46.\n5. Substitute h = g + 9 to z, which gives z = g + 55.\n6. Substitute g = 1 to z, which gives z = 56.\n\nThus, the final answer is z = \\boxed{56}.",
"index": 1081,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 8; h = g + 9; z = e + 10; x = p + 11; c = g + 14; n = f + 11; b = c + 16; f = b + 14; p = h + 12; e = i + 5; o = y + 16; g = 1; y = n + 17. If g = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 7", "y": "p + 7", "a": "y + 11", "t": "a + 16", "d": "t + 10", "e": "d + 7", "w": "s + 15", "l": "w + 2", "m": "l + 7", "h": "m + 10", "g": "h + 3", "f": "g + 6", "s": 2}, "premises": {"s": 2}, "target": "e"}, "answer": {"steps": [["d", "t + 10", "t + 17"], ["t", "a + 16", "a + 33"], ["a", "y + 11", "y + 44"], ["y", "p + 7", "p + 51"], ["p", "s + 7", "s + 58"], ["s", 2, "60"]], "target_var_name": "e", "target_value": 60, "value_dict": {"s": 2}, "is_reverse": true}}
| 1,082
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = h + 3; t = a + 16; w = s + 15; p = s + 7; m = l + 7; f = g + 6; y = p + 7; l = w + 2; s = 2; d = t + 10; h = m + 10; a = y + 11; e = d + 7. Given that s = 2, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 10 to e, which gives e = t + 17.\n2. Substitute t = a + 16 to e, which gives e = a + 33.\n3. Substitute a = y + 11 to e, which gives e = y + 44.\n4. Substitute y = p + 7 to e, which gives e = p + 51.\n5. Substitute p = s + 7 to e, which gives e = s + 58.\n6. Substitute s = 2 to e, which gives e = 60.\n\nThus, the final answer is e = \\boxed{60}.",
"index": 1082,
"question": "Suppose a collection of variables is related by the following definitions: g = h + 3; t = a + 16; w = s + 15; p = s + 7; m = l + 7; f = g + 6; y = p + 7; l = w + 2; s = 2; d = t + 10; h = m + 10; a = y + 11; e = d + 7. Given that s = 2, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "g + 7", "f": "d + 14", "k": "f + 8", "b": "k + 4", "t": "b + 11", "v": "t + 1", "i": "g + 14", "j": "i + 15", "y": "j + 8", "o": "y + 15", "r": "o + 13", "u": "r + 12", "g": 17}, "premises": {"g": 17}, "target": "v"}, "answer": {"steps": [["t", "b + 11", "b + 12"], ["b", "k + 4", "k + 16"], ["k", "f + 8", "f + 24"], ["f", "d + 14", "d + 38"], ["d", "g + 7", "g + 45"], ["g", 17, "62"]], "target_var_name": "v", "target_value": 62, "value_dict": {"g": 17}, "is_reverse": true}}
| 1,083
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 14; o = y + 15; j = i + 15; f = d + 14; y = j + 8; t = b + 11; b = k + 4; k = f + 8; v = t + 1; r = o + 13; d = g + 7; g = 17; u = r + 12. Given that g = 17, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 11 to v, which gives v = b + 12.\n2. Substitute b = k + 4 to v, which gives v = k + 16.\n3. Substitute k = f + 8 to v, which gives v = f + 24.\n4. Substitute f = d + 14 to v, which gives v = d + 38.\n5. Substitute d = g + 7 to v, which gives v = g + 45.\n6. Substitute g = 17 to v, which gives v = 62.\n\nThus, the final answer is v = \\boxed{62}.",
"index": 1083,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 14; o = y + 15; j = i + 15; f = d + 14; y = j + 8; t = b + 11; b = k + 4; k = f + 8; v = t + 1; r = o + 13; d = g + 7; g = 17; u = r + 12. Given that g = 17, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 12", "n": "x + 7", "u": "n + 3", "i": "u + 10", "k": "i + 15", "m": "k + 20", "q": "t + 10", "d": "q + 17", "y": "d + 20", "z": "y + 5", "s": "z + 6", "a": "s + 2", "t": 3}, "premises": {"t": 3}, "target": "m"}, "answer": {"steps": [["k", "i + 15", "i + 35"], ["i", "u + 10", "u + 45"], ["u", "n + 3", "n + 48"], ["n", "x + 7", "x + 55"], ["x", "t + 12", "t + 67"], ["t", 3, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"t": 3}, "is_reverse": true}}
| 1,084
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = q + 17; x = t + 12; t = 3; u = n + 3; a = s + 2; m = k + 20; z = y + 5; n = x + 7; k = i + 15; q = t + 10; s = z + 6; y = d + 20; i = u + 10. If t = 3, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 15 to m, which gives m = i + 35.\n2. Substitute i = u + 10 to m, which gives m = u + 45.\n3. Substitute u = n + 3 to m, which gives m = n + 48.\n4. Substitute n = x + 7 to m, which gives m = x + 55.\n5. Substitute x = t + 12 to m, which gives m = t + 67.\n6. Substitute t = 3 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 1084,
"question": "Consider a system of variables where each variable is defined as follows: d = q + 17; x = t + 12; t = 3; u = n + 3; a = s + 2; m = k + 20; z = y + 5; n = x + 7; k = i + 15; q = t + 10; s = z + 6; y = d + 20; i = u + 10. If t = 3, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 8", "v": "x + 11", "r": "v + 5", "a": "r + 1", "n": "a + 3", "p": "n + 19", "t": "j + 13", "z": "t + 13", "m": "z + 20", "l": "m + 3", "o": "l + 16", "k": "o + 16", "j": 5}, "premises": {"j": 5}, "target": "p"}, "answer": {"steps": [["n", "a + 3", "a + 22"], ["a", "r + 1", "r + 23"], ["r", "v + 5", "v + 28"], ["v", "x + 11", "x + 39"], ["x", "j + 8", "j + 47"], ["j", 5, "52"]], "target_var_name": "p", "target_value": 52, "value_dict": {"j": 5}, "is_reverse": true}}
| 1,085
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = 5; m = z + 20; r = v + 5; l = m + 3; k = o + 16; x = j + 8; a = r + 1; v = x + 11; o = l + 16; p = n + 19; t = j + 13; z = t + 13; n = a + 3. Given that j = 5, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 3 to p, which gives p = a + 22.\n2. Substitute a = r + 1 to p, which gives p = r + 23.\n3. Substitute r = v + 5 to p, which gives p = v + 28.\n4. Substitute v = x + 11 to p, which gives p = x + 39.\n5. Substitute x = j + 8 to p, which gives p = j + 47.\n6. Substitute j = 5 to p, which gives p = 52.\n\nThus, the final answer is p = \\boxed{52}.",
"index": 1085,
"question": "Suppose a collection of variables is related by the following definitions: j = 5; m = z + 20; r = v + 5; l = m + 3; k = o + 16; x = j + 8; a = r + 1; v = x + 11; o = l + 16; p = n + 19; t = j + 13; z = t + 13; n = a + 3. Given that j = 5, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 5", "f": "p + 1", "g": "f + 17", "a": "g + 19", "h": "a + 14", "v": "h + 9", "o": "s + 6", "m": "o + 12", "i": "m + 1", "r": "i + 15", "t": "r + 20", "u": "t + 2", "s": 9}, "premises": {"s": 9}, "target": "v"}, "answer": {"steps": [["h", "a + 14", "a + 23"], ["a", "g + 19", "g + 42"], ["g", "f + 17", "f + 59"], ["f", "p + 1", "p + 60"], ["p", "s + 5", "s + 65"], ["s", 9, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"s": 9}, "is_reverse": true}}
| 1,086
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 20; i = m + 1; s = 9; o = s + 6; r = i + 15; u = t + 2; g = f + 17; f = p + 1; m = o + 12; v = h + 9; a = g + 19; h = a + 14; p = s + 5. Given that s = 9, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 14 to v, which gives v = a + 23.\n2. Substitute a = g + 19 to v, which gives v = g + 42.\n3. Substitute g = f + 17 to v, which gives v = f + 59.\n4. Substitute f = p + 1 to v, which gives v = p + 60.\n5. Substitute p = s + 5 to v, which gives v = s + 65.\n6. Substitute s = 9 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 1086,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 20; i = m + 1; s = 9; o = s + 6; r = i + 15; u = t + 2; g = f + 17; f = p + 1; m = o + 12; v = h + 9; a = g + 19; h = a + 14; p = s + 5. Given that s = 9, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 14", "q": "j + 2", "k": "q + 12", "d": "k + 14", "z": "d + 6", "s": "z + 8", "m": "b + 11", "c": "m + 2", "n": "c + 12", "g": "n + 6", "p": "g + 10", "w": "p + 20", "b": 15}, "premises": {"b": 15}, "target": "s"}, "answer": {"steps": [["z", "d + 6", "d + 14"], ["d", "k + 14", "k + 28"], ["k", "q + 12", "q + 40"], ["q", "j + 2", "j + 42"], ["j", "b + 14", "b + 56"], ["b", 15, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"b": 15}, "is_reverse": true}}
| 1,087
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = 15; q = j + 2; w = p + 20; c = m + 2; d = k + 14; z = d + 6; m = b + 11; g = n + 6; p = g + 10; k = q + 12; n = c + 12; j = b + 14; s = z + 8. Given that b = 15, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 6 to s, which gives s = d + 14.\n2. Substitute d = k + 14 to s, which gives s = k + 28.\n3. Substitute k = q + 12 to s, which gives s = q + 40.\n4. Substitute q = j + 2 to s, which gives s = j + 42.\n5. Substitute j = b + 14 to s, which gives s = b + 56.\n6. Substitute b = 15 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 1087,
"question": "Suppose a collection of variables is related by the following definitions: b = 15; q = j + 2; w = p + 20; c = m + 2; d = k + 14; z = d + 6; m = b + 11; g = n + 6; p = g + 10; k = q + 12; n = c + 12; j = b + 14; s = z + 8. Given that b = 15, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 7", "g": "m + 16", "x": "g + 12", "l": "x + 11", "k": "l + 18", "w": "k + 9", "q": "i + 12", "a": "q + 13", "p": "a + 15", "r": "p + 18", "s": "r + 11", "n": "s + 12", "i": 15}, "premises": {"i": 15}, "target": "w"}, "answer": {"steps": [["k", "l + 18", "l + 27"], ["l", "x + 11", "x + 38"], ["x", "g + 12", "g + 50"], ["g", "m + 16", "m + 66"], ["m", "i + 7", "i + 73"], ["i", 15, "88"]], "target_var_name": "w", "target_value": 88, "value_dict": {"i": 15}, "is_reverse": true}}
| 1,088
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 15; r = p + 18; k = l + 18; x = g + 12; a = q + 13; s = r + 11; l = x + 11; m = i + 7; q = i + 12; g = m + 16; w = k + 9; n = s + 12; i = 15. Given that i = 15, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 18 to w, which gives w = l + 27.\n2. Substitute l = x + 11 to w, which gives w = x + 38.\n3. Substitute x = g + 12 to w, which gives w = g + 50.\n4. Substitute g = m + 16 to w, which gives w = m + 66.\n5. Substitute m = i + 7 to w, which gives w = i + 73.\n6. Substitute i = 15 to w, which gives w = 88.\n\nThus, the final answer is w = \\boxed{88}.",
"index": 1088,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 15; r = p + 18; k = l + 18; x = g + 12; a = q + 13; s = r + 11; l = x + 11; m = i + 7; q = i + 12; g = m + 16; w = k + 9; n = s + 12; i = 15. Given that i = 15, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 7", "v": "d + 16", "h": "v + 18", "x": "h + 13", "l": "x + 10", "z": "l + 20", "a": "k + 20", "b": "a + 3", "n": "b + 3", "p": "n + 13", "y": "p + 10", "o": "y + 19", "k": 8}, "premises": {"k": 8}, "target": "z"}, "answer": {"steps": [["l", "x + 10", "x + 30"], ["x", "h + 13", "h + 43"], ["h", "v + 18", "v + 61"], ["v", "d + 16", "d + 77"], ["d", "k + 7", "k + 84"], ["k", 8, "92"]], "target_var_name": "z", "target_value": 92, "value_dict": {"k": 8}, "is_reverse": true}}
| 1,089
| 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 = h + 13; k = 8; o = y + 19; h = v + 18; p = n + 13; b = a + 3; l = x + 10; a = k + 20; v = d + 16; y = p + 10; n = b + 3; d = k + 7; z = l + 20. If k = 8, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 10 to z, which gives z = x + 30.\n2. Substitute x = h + 13 to z, which gives z = h + 43.\n3. Substitute h = v + 18 to z, which gives z = v + 61.\n4. Substitute v = d + 16 to z, which gives z = d + 77.\n5. Substitute d = k + 7 to z, which gives z = k + 84.\n6. Substitute k = 8 to z, which gives z = 92.\n\nThus, the final answer is z = \\boxed{92}.",
"index": 1089,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = h + 13; k = 8; o = y + 19; h = v + 18; p = n + 13; b = a + 3; l = x + 10; a = k + 20; v = d + 16; y = p + 10; n = b + 3; d = k + 7; z = l + 20. If k = 8, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "g + 1", "i": "z + 7", "r": "i + 15", "y": "r + 6", "q": "y + 19", "n": "q + 20", "u": "g + 10", "h": "u + 8", "x": "h + 3", "t": "x + 16", "l": "t + 17", "s": "l + 1", "g": 20}, "premises": {"g": 20}, "target": "n"}, "answer": {"steps": [["q", "y + 19", "y + 39"], ["y", "r + 6", "r + 45"], ["r", "i + 15", "i + 60"], ["i", "z + 7", "z + 67"], ["z", "g + 1", "g + 68"], ["g", 20, "88"]], "target_var_name": "n", "target_value": 88, "value_dict": {"g": 20}, "is_reverse": true}}
| 1,090
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = i + 15; l = t + 17; x = h + 3; g = 20; t = x + 16; h = u + 8; z = g + 1; u = g + 10; s = l + 1; i = z + 7; y = r + 6; q = y + 19; n = q + 20. Given that g = 20, 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 q = y + 19 to n, which gives n = y + 39.\n2. Substitute y = r + 6 to n, which gives n = r + 45.\n3. Substitute r = i + 15 to n, which gives n = i + 60.\n4. Substitute i = z + 7 to n, which gives n = z + 67.\n5. Substitute z = g + 1 to n, which gives n = g + 68.\n6. Substitute g = 20 to n, which gives n = 88.\n\nThus, the final answer is n = \\boxed{88}.",
"index": 1090,
"question": "Suppose a collection of variables is related by the following definitions: r = i + 15; l = t + 17; x = h + 3; g = 20; t = x + 16; h = u + 8; z = g + 1; u = g + 10; s = l + 1; i = z + 7; y = r + 6; q = y + 19; n = q + 20. Given that g = 20, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 1", "v": "r + 1", "s": "v + 13", "b": "s + 7", "w": "b + 10", "l": "w + 20", "u": "k + 14", "c": "u + 9", "z": "c + 3", "p": "z + 14", "g": "p + 3", "e": "g + 10", "k": 11}, "premises": {"k": 11}, "target": "l"}, "answer": {"steps": [["w", "b + 10", "b + 30"], ["b", "s + 7", "s + 37"], ["s", "v + 13", "v + 50"], ["v", "r + 1", "r + 51"], ["r", "k + 1", "k + 52"], ["k", 11, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"k": 11}, "is_reverse": true}}
| 1,091
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = b + 10; b = s + 7; c = u + 9; e = g + 10; z = c + 3; p = z + 14; u = k + 14; k = 11; v = r + 1; g = p + 3; s = v + 13; l = w + 20; r = k + 1. Given that k = 11, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 10 to l, which gives l = b + 30.\n2. Substitute b = s + 7 to l, which gives l = s + 37.\n3. Substitute s = v + 13 to l, which gives l = v + 50.\n4. Substitute v = r + 1 to l, which gives l = r + 51.\n5. Substitute r = k + 1 to l, which gives l = k + 52.\n6. Substitute k = 11 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 1091,
"question": "Suppose a collection of variables is related by the following definitions: w = b + 10; b = s + 7; c = u + 9; e = g + 10; z = c + 3; p = z + 14; u = k + 14; k = 11; v = r + 1; g = p + 3; s = v + 13; l = w + 20; r = k + 1. Given that k = 11, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 18", "r": "k + 9", "u": "r + 14", "w": "u + 15", "s": "w + 8", "n": "s + 12", "j": "g + 15", "a": "j + 18", "x": "a + 9", "o": "x + 3", "l": "o + 12", "y": "l + 15", "g": 18}, "premises": {"g": 18}, "target": "n"}, "answer": {"steps": [["s", "w + 8", "w + 20"], ["w", "u + 15", "u + 35"], ["u", "r + 14", "r + 49"], ["r", "k + 9", "k + 58"], ["k", "g + 18", "g + 76"], ["g", 18, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"g": 18}, "is_reverse": true}}
| 1,092
| 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 = w + 8; r = k + 9; j = g + 15; n = s + 12; k = g + 18; g = 18; a = j + 18; x = a + 9; w = u + 15; l = o + 12; o = x + 3; y = l + 15; u = r + 14. If g = 18, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 8 to n, which gives n = w + 20.\n2. Substitute w = u + 15 to n, which gives n = u + 35.\n3. Substitute u = r + 14 to n, which gives n = r + 49.\n4. Substitute r = k + 9 to n, which gives n = k + 58.\n5. Substitute k = g + 18 to n, which gives n = g + 76.\n6. Substitute g = 18 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 1092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = w + 8; r = k + 9; j = g + 15; n = s + 12; k = g + 18; g = 18; a = j + 18; x = a + 9; w = u + 15; l = o + 12; o = x + 3; y = l + 15; u = r + 14. If g = 18, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 10", "r": "z + 3", "p": "r + 6", "f": "p + 16", "s": "f + 2", "h": "s + 2", "g": "y + 15", "o": "g + 19", "k": "o + 4", "t": "k + 3", "x": "t + 15", "l": "x + 2", "y": 14}, "premises": {"y": 14}, "target": "h"}, "answer": {"steps": [["s", "f + 2", "f + 4"], ["f", "p + 16", "p + 20"], ["p", "r + 6", "r + 26"], ["r", "z + 3", "z + 29"], ["z", "y + 10", "y + 39"], ["y", 14, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"y": 14}, "is_reverse": true}}
| 1,093
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 2; y = 14; f = p + 16; h = s + 2; z = y + 10; g = y + 15; k = o + 4; o = g + 19; l = x + 2; t = k + 3; r = z + 3; x = t + 15; p = r + 6. Given that y = 14, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 2 to h, which gives h = f + 4.\n2. Substitute f = p + 16 to h, which gives h = p + 20.\n3. Substitute p = r + 6 to h, which gives h = r + 26.\n4. Substitute r = z + 3 to h, which gives h = z + 29.\n5. Substitute z = y + 10 to h, which gives h = y + 39.\n6. Substitute y = 14 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 1093,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 2; y = 14; f = p + 16; h = s + 2; z = y + 10; g = y + 15; k = o + 4; o = g + 19; l = x + 2; t = k + 3; r = z + 3; x = t + 15; p = r + 6. Given that y = 14, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 17", "v": "w + 2", "g": "v + 20", "q": "g + 5", "x": "q + 16", "b": "x + 19", "e": "z + 9", "j": "e + 5", "m": "j + 5", "u": "m + 9", "o": "u + 11", "d": "o + 2", "z": 3}, "premises": {"z": 3}, "target": "b"}, "answer": {"steps": [["x", "q + 16", "q + 35"], ["q", "g + 5", "g + 40"], ["g", "v + 20", "v + 60"], ["v", "w + 2", "w + 62"], ["w", "z + 17", "z + 79"], ["z", 3, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"z": 3}, "is_reverse": true}}
| 1,094
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = g + 5; b = x + 19; o = u + 11; j = e + 5; e = z + 9; x = q + 16; w = z + 17; u = m + 9; d = o + 2; g = v + 20; z = 3; m = j + 5; v = w + 2. Given that z = 3, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 16 to b, which gives b = q + 35.\n2. Substitute q = g + 5 to b, which gives b = g + 40.\n3. Substitute g = v + 20 to b, which gives b = v + 60.\n4. Substitute v = w + 2 to b, which gives b = w + 62.\n5. Substitute w = z + 17 to b, which gives b = z + 79.\n6. Substitute z = 3 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 1094,
"question": "Suppose a collection of variables is related by the following definitions: q = g + 5; b = x + 19; o = u + 11; j = e + 5; e = z + 9; x = q + 16; w = z + 17; u = m + 9; d = o + 2; g = v + 20; z = 3; m = j + 5; v = w + 2. Given that z = 3, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"l": "x + 10", "o": "l + 8", "c": "o + 19", "s": "c + 10", "z": "s + 10", "h": "z + 5", "q": "x + 4", "e": "q + 7", "t": "e + 17", "g": "t + 18", "n": "g + 19", "d": "n + 16", "x": 16}, "premises": {"x": 16}, "target": "h"}, "answer": {"steps": [["z", "s + 10", "s + 15"], ["s", "c + 10", "c + 25"], ["c", "o + 19", "o + 44"], ["o", "l + 8", "l + 52"], ["l", "x + 10", "x + 62"], ["x", 16, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"x": 16}, "is_reverse": true}}
| 1,095
| 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 = c + 10; n = g + 19; h = z + 5; t = e + 17; l = x + 10; c = o + 19; g = t + 18; d = n + 16; q = x + 4; e = q + 7; x = 16; o = l + 8; z = s + 10. If x = 16, 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 z = s + 10 to h, which gives h = s + 15.\n2. Substitute s = c + 10 to h, which gives h = c + 25.\n3. Substitute c = o + 19 to h, which gives h = o + 44.\n4. Substitute o = l + 8 to h, which gives h = l + 52.\n5. Substitute l = x + 10 to h, which gives h = x + 62.\n6. Substitute x = 16 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 1095,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = c + 10; n = g + 19; h = z + 5; t = e + 17; l = x + 10; c = o + 19; g = t + 18; d = n + 16; q = x + 4; e = q + 7; x = 16; o = l + 8; z = s + 10. If x = 16, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 5", "r": "x + 16", "o": "r + 15", "j": "o + 19", "b": "j + 7", "q": "b + 1", "k": "v + 18", "f": "k + 20", "z": "f + 19", "s": "z + 11", "m": "s + 11", "c": "m + 20", "v": 5}, "premises": {"v": 5}, "target": "q"}, "answer": {"steps": [["b", "j + 7", "j + 8"], ["j", "o + 19", "o + 27"], ["o", "r + 15", "r + 42"], ["r", "x + 16", "x + 58"], ["x", "v + 5", "v + 63"], ["v", 5, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"v": 5}, "is_reverse": true}}
| 1,096
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 1; b = j + 7; j = o + 19; c = m + 20; f = k + 20; m = s + 11; x = v + 5; v = 5; z = f + 19; s = z + 11; o = r + 15; r = x + 16; k = v + 18. If v = 5, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 7 to q, which gives q = j + 8.\n2. Substitute j = o + 19 to q, which gives q = o + 27.\n3. Substitute o = r + 15 to q, which gives q = r + 42.\n4. Substitute r = x + 16 to q, which gives q = x + 58.\n5. Substitute x = v + 5 to q, which gives q = v + 63.\n6. Substitute v = 5 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 1096,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 1; b = j + 7; j = o + 19; c = m + 20; f = k + 20; m = s + 11; x = v + 5; v = 5; z = f + 19; s = z + 11; o = r + 15; r = x + 16; k = v + 18. If v = 5, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 4", "p": "y + 17", "d": "p + 1", "u": "d + 18", "v": "u + 12", "r": "v + 12", "o": "m + 6", "l": "o + 11", "i": "l + 3", "b": "i + 12", "t": "b + 3", "n": "t + 3", "m": 19}, "premises": {"m": 19}, "target": "r"}, "answer": {"steps": [["v", "u + 12", "u + 24"], ["u", "d + 18", "d + 42"], ["d", "p + 1", "p + 43"], ["p", "y + 17", "y + 60"], ["y", "m + 4", "m + 64"], ["m", 19, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"m": 19}, "is_reverse": true}}
| 1,097
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 18; p = y + 17; b = i + 12; v = u + 12; o = m + 6; y = m + 4; r = v + 12; n = t + 3; d = p + 1; t = b + 3; i = l + 3; l = o + 11; m = 19. Given that m = 19, find 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 v = u + 12 to r, which gives r = u + 24.\n2. Substitute u = d + 18 to r, which gives r = d + 42.\n3. Substitute d = p + 1 to r, which gives r = p + 43.\n4. Substitute p = y + 17 to r, which gives r = y + 60.\n5. Substitute y = m + 4 to r, which gives r = m + 64.\n6. Substitute m = 19 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 1097,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 18; p = y + 17; b = i + 12; v = u + 12; o = m + 6; y = m + 4; r = v + 12; n = t + 3; d = p + 1; t = b + 3; i = l + 3; l = o + 11; m = 19. Given that m = 19, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 4", "l": "h + 18", "x": "l + 4", "a": "x + 11", "e": "a + 5", "w": "e + 15", "i": "c + 12", "d": "i + 17", "y": "d + 9", "j": "y + 19", "q": "j + 17", "m": "q + 13", "c": 12}, "premises": {"c": 12}, "target": "w"}, "answer": {"steps": [["e", "a + 5", "a + 20"], ["a", "x + 11", "x + 31"], ["x", "l + 4", "l + 35"], ["l", "h + 18", "h + 53"], ["h", "c + 4", "c + 57"], ["c", 12, "69"]], "target_var_name": "w", "target_value": 69, "value_dict": {"c": 12}, "is_reverse": true}}
| 1,098
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 17; j = y + 19; c = 12; x = l + 4; h = c + 4; l = h + 18; e = a + 5; y = d + 9; a = x + 11; q = j + 17; i = c + 12; m = q + 13; w = e + 15. Given that c = 12, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 5 to w, which gives w = a + 20.\n2. Substitute a = x + 11 to w, which gives w = x + 31.\n3. Substitute x = l + 4 to w, which gives w = l + 35.\n4. Substitute l = h + 18 to w, which gives w = h + 53.\n5. Substitute h = c + 4 to w, which gives w = c + 57.\n6. Substitute c = 12 to w, which gives w = 69.\n\nThus, the final answer is w = \\boxed{69}.",
"index": 1098,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 17; j = y + 19; c = 12; x = l + 4; h = c + 4; l = h + 18; e = a + 5; y = d + 9; a = x + 11; q = j + 17; i = c + 12; m = q + 13; w = e + 15. Given that c = 12, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 17", "z": "s + 3", "p": "z + 16", "u": "p + 20", "j": "u + 4", "r": "j + 6", "v": "b + 16", "y": "v + 13", "c": "y + 17", "w": "c + 20", "t": "w + 4", "o": "t + 15", "b": 12}, "premises": {"b": 12}, "target": "r"}, "answer": {"steps": [["j", "u + 4", "u + 10"], ["u", "p + 20", "p + 30"], ["p", "z + 16", "z + 46"], ["z", "s + 3", "s + 49"], ["s", "b + 17", "b + 66"], ["b", 12, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"b": 12}, "is_reverse": true}}
| 1,099
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = b + 17; y = v + 13; v = b + 16; j = u + 4; p = z + 16; u = p + 20; w = c + 20; b = 12; z = s + 3; t = w + 4; r = j + 6; o = t + 15; c = y + 17. If b = 12, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 4 to r, which gives r = u + 10.\n2. Substitute u = p + 20 to r, which gives r = p + 30.\n3. Substitute p = z + 16 to r, which gives r = z + 46.\n4. Substitute z = s + 3 to r, which gives r = s + 49.\n5. Substitute s = b + 17 to r, which gives r = b + 66.\n6. Substitute b = 12 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 1099,
"question": "Consider a system of variables where each variable is defined as follows: s = b + 17; y = v + 13; v = b + 16; j = u + 4; p = z + 16; u = p + 20; w = c + 20; b = 12; z = s + 3; t = w + 4; r = j + 6; o = t + 15; c = y + 17. If b = 12, determine the value of r.",
"split": "train"
}
|
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