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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
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listlengths 1
1
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stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"l": "b + 17", "c": "l + 3", "g": "c + 11", "v": "g + 16", "u": "v + 2", "o": "u + 11", "w": "b + 1", "h": "w + 18", "n": "h + 12", "y": "n + 2", "e": "y + 10", "t": "e + 20", "b": 1}, "premises": {"b": 1}, "target": "o"}, "answer": {"steps": [["u", "v + 2", "v + 13"], ["v", "g + 16", "g + 29"], ["g", "c + 11", "c + 40"], ["c", "l + 3", "l + 43"], ["l", "b + 17", "b + 60"], ["b", 1, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"b": 1}, "is_reverse": true}}
| 24,500
| 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 = u + 11; u = v + 2; n = h + 12; v = g + 16; g = c + 11; b = 1; h = w + 18; e = y + 10; y = n + 2; w = b + 1; l = b + 17; c = l + 3; t = e + 20. If b = 1, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 2 to o, which gives o = v + 13.\n2. Substitute v = g + 16 to o, which gives o = g + 29.\n3. Substitute g = c + 11 to o, which gives o = c + 40.\n4. Substitute c = l + 3 to o, which gives o = l + 43.\n5. Substitute l = b + 17 to o, which gives o = b + 60.\n6. Substitute b = 1 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 24500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = u + 11; u = v + 2; n = h + 12; v = g + 16; g = c + 11; b = 1; h = w + 18; e = y + 10; y = n + 2; w = b + 1; l = b + 17; c = l + 3; t = e + 20. If b = 1, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 8", "u": "y + 19", "p": "u + 13", "o": "p + 9", "t": "o + 8", "e": "t + 15", "z": "i + 12", "v": "z + 15", "c": "v + 1", "w": "c + 1", "a": "w + 17", "j": "a + 17", "i": 12}, "premises": {"i": 12}, "target": "e"}, "answer": {"steps": [["t", "o + 8", "o + 23"], ["o", "p + 9", "p + 32"], ["p", "u + 13", "u + 45"], ["u", "y + 19", "y + 64"], ["y", "i + 8", "i + 72"], ["i", 12, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"i": 12}, "is_reverse": true}}
| 24,501
| 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 = c + 1; u = y + 19; o = p + 9; p = u + 13; v = z + 15; i = 12; a = w + 17; t = o + 8; y = i + 8; j = a + 17; z = i + 12; c = v + 1; e = t + 15. If i = 12, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 8 to e, which gives e = o + 23.\n2. Substitute o = p + 9 to e, which gives e = p + 32.\n3. Substitute p = u + 13 to e, which gives e = u + 45.\n4. Substitute u = y + 19 to e, which gives e = y + 64.\n5. Substitute y = i + 8 to e, which gives e = i + 72.\n6. Substitute i = 12 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 24501,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = c + 1; u = y + 19; o = p + 9; p = u + 13; v = z + 15; i = 12; a = w + 17; t = o + 8; y = i + 8; j = a + 17; z = i + 12; c = v + 1; e = t + 15. If i = 12, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 6", "u": "l + 10", "j": "u + 12", "s": "j + 16", "v": "s + 15", "f": "v + 20", "k": "z + 4", "x": "k + 18", "b": "x + 8", "h": "b + 2", "q": "h + 13", "n": "q + 10", "z": 12}, "premises": {"z": 12}, "target": "f"}, "answer": {"steps": [["v", "s + 15", "s + 35"], ["s", "j + 16", "j + 51"], ["j", "u + 12", "u + 63"], ["u", "l + 10", "l + 73"], ["l", "z + 6", "z + 79"], ["z", 12, "91"]], "target_var_name": "f", "target_value": 91, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 6; u = l + 10; j = u + 12; x = k + 18; q = h + 13; z = 12; n = q + 10; f = v + 20; k = z + 4; v = s + 15; s = j + 16; h = b + 2; b = x + 8. If z = 12, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 15 to f, which gives f = s + 35.\n2. Substitute s = j + 16 to f, which gives f = j + 51.\n3. Substitute j = u + 12 to f, which gives f = u + 63.\n4. Substitute u = l + 10 to f, which gives f = l + 73.\n5. Substitute l = z + 6 to f, which gives f = z + 79.\n6. Substitute z = 12 to f, which gives f = 91.\n\nThus, the final answer is f = \\boxed{91}.",
"index": 24502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 6; u = l + 10; j = u + 12; x = k + 18; q = h + 13; z = 12; n = q + 10; f = v + 20; k = z + 4; v = s + 15; s = j + 16; h = b + 2; b = x + 8. If z = 12, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 1", "i": "n + 18", "g": "i + 15", "l": "g + 18", "q": "l + 7", "w": "q + 1", "f": "p + 3", "d": "f + 16", "a": "d + 11", "b": "a + 17", "h": "b + 1", "m": "h + 3", "p": 1}, "premises": {"p": 1}, "target": "w"}, "answer": {"steps": [["q", "l + 7", "l + 8"], ["l", "g + 18", "g + 26"], ["g", "i + 15", "i + 41"], ["i", "n + 18", "n + 59"], ["n", "p + 1", "p + 60"], ["p", 1, "61"]], "target_var_name": "w", "target_value": 61, "value_dict": {"p": 1}, "is_reverse": true}}
| 24,503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 16; w = q + 1; i = n + 18; g = i + 15; h = b + 1; q = l + 7; l = g + 18; p = 1; a = d + 11; m = h + 3; n = p + 1; b = a + 17; f = p + 3. If p = 1, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 7 to w, which gives w = l + 8.\n2. Substitute l = g + 18 to w, which gives w = g + 26.\n3. Substitute g = i + 15 to w, which gives w = i + 41.\n4. Substitute i = n + 18 to w, which gives w = n + 59.\n5. Substitute n = p + 1 to w, which gives w = p + 60.\n6. Substitute p = 1 to w, which gives w = 61.\n\nThus, the final answer is w = \\boxed{61}.",
"index": 24503,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 16; w = q + 1; i = n + 18; g = i + 15; h = b + 1; q = l + 7; l = g + 18; p = 1; a = d + 11; m = h + 3; n = p + 1; b = a + 17; f = p + 3. If p = 1, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 5", "s": "e + 11", "i": "s + 11", "v": "i + 16", "u": "v + 9", "p": "u + 7", "y": "r + 12", "f": "y + 17", "l": "f + 20", "h": "l + 9", "z": "h + 4", "m": "z + 19", "r": 17}, "premises": {"r": 17}, "target": "p"}, "answer": {"steps": [["u", "v + 9", "v + 16"], ["v", "i + 16", "i + 32"], ["i", "s + 11", "s + 43"], ["s", "e + 11", "e + 54"], ["e", "r + 5", "r + 59"], ["r", 17, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"r": 17}, "is_reverse": true}}
| 24,504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 12; f = y + 17; v = i + 16; h = l + 9; e = r + 5; u = v + 9; m = z + 19; z = h + 4; r = 17; i = s + 11; l = f + 20; s = e + 11; p = u + 7. If r = 17, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 9 to p, which gives p = v + 16.\n2. Substitute v = i + 16 to p, which gives p = i + 32.\n3. Substitute i = s + 11 to p, which gives p = s + 43.\n4. Substitute s = e + 11 to p, which gives p = e + 54.\n5. Substitute e = r + 5 to p, which gives p = r + 59.\n6. Substitute r = 17 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 24504,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 12; f = y + 17; v = i + 16; h = l + 9; e = r + 5; u = v + 9; m = z + 19; z = h + 4; r = 17; i = s + 11; l = f + 20; s = e + 11; p = u + 7. If r = 17, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"p": "t + 20", "x": "p + 5", "g": "x + 8", "f": "g + 2", "c": "f + 12", "l": "c + 8", "k": "t + 5", "u": "k + 12", "m": "u + 1", "y": "m + 4", "a": "y + 17", "n": "a + 4", "t": 4}, "premises": {"t": 4}, "target": "l"}, "answer": {"steps": [["c", "f + 12", "f + 20"], ["f", "g + 2", "g + 22"], ["g", "x + 8", "x + 30"], ["x", "p + 5", "p + 35"], ["p", "t + 20", "t + 55"], ["t", 4, "59"]], "target_var_name": "l", "target_value": 59, "value_dict": {"t": 4}, "is_reverse": true}}
| 24,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 2; y = m + 4; x = p + 5; n = a + 4; m = u + 1; t = 4; k = t + 5; l = c + 8; c = f + 12; a = y + 17; g = x + 8; p = t + 20; u = k + 12. If t = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 12 to l, which gives l = f + 20.\n2. Substitute f = g + 2 to l, which gives l = g + 22.\n3. Substitute g = x + 8 to l, which gives l = x + 30.\n4. Substitute x = p + 5 to l, which gives l = p + 35.\n5. Substitute p = t + 20 to l, which gives l = t + 55.\n6. Substitute t = 4 to l, which gives l = 59.\n\nThus, the final answer is l = \\boxed{59}.",
"index": 24505,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 2; y = m + 4; x = p + 5; n = a + 4; m = u + 1; t = 4; k = t + 5; l = c + 8; c = f + 12; a = y + 17; g = x + 8; p = t + 20; u = k + 12. If t = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 11", "l": "u + 6", "t": "l + 7", "c": "t + 4", "w": "c + 3", "x": "w + 5", "z": "r + 14", "a": "z + 6", "s": "a + 20", "q": "s + 6", "k": "q + 4", "e": "k + 8", "r": 4}, "premises": {"r": 4}, "target": "x"}, "answer": {"steps": [["w", "c + 3", "c + 8"], ["c", "t + 4", "t + 12"], ["t", "l + 7", "l + 19"], ["l", "u + 6", "u + 25"], ["u", "r + 11", "r + 36"], ["r", 4, "40"]], "target_var_name": "x", "target_value": 40, "value_dict": {"r": 4}, "is_reverse": true}}
| 24,506
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 4; c = t + 4; t = l + 7; u = r + 11; e = k + 8; k = q + 4; a = z + 6; s = a + 20; l = u + 6; q = s + 6; z = r + 14; w = c + 3; x = w + 5. Given that r = 4, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 3 to x, which gives x = c + 8.\n2. Substitute c = t + 4 to x, which gives x = t + 12.\n3. Substitute t = l + 7 to x, which gives x = l + 19.\n4. Substitute l = u + 6 to x, which gives x = u + 25.\n5. Substitute u = r + 11 to x, which gives x = r + 36.\n6. Substitute r = 4 to x, which gives x = 40.\n\nThus, the final answer is x = \\boxed{40}.",
"index": 24506,
"question": "Suppose a collection of variables is related by the following definitions: r = 4; c = t + 4; t = l + 7; u = r + 11; e = k + 8; k = q + 4; a = z + 6; s = a + 20; l = u + 6; q = s + 6; z = r + 14; w = c + 3; x = w + 5. Given that r = 4, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 17", "h": "o + 20", "r": "h + 11", "s": "r + 9", "m": "s + 14", "l": "m + 12", "g": "t + 15", "q": "g + 6", "f": "q + 9", "z": "f + 19", "u": "z + 16", "x": "u + 3", "t": 12}, "premises": {"t": 12}, "target": "l"}, "answer": {"steps": [["m", "s + 14", "s + 26"], ["s", "r + 9", "r + 35"], ["r", "h + 11", "h + 46"], ["h", "o + 20", "o + 66"], ["o", "t + 17", "t + 83"], ["t", 12, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"t": 12}, "is_reverse": true}}
| 24,507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 20; x = u + 3; g = t + 15; q = g + 6; s = r + 9; z = f + 19; f = q + 9; o = t + 17; u = z + 16; t = 12; l = m + 12; m = s + 14; r = h + 11. If t = 12, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 14 to l, which gives l = s + 26.\n2. Substitute s = r + 9 to l, which gives l = r + 35.\n3. Substitute r = h + 11 to l, which gives l = h + 46.\n4. Substitute h = o + 20 to l, which gives l = o + 66.\n5. Substitute o = t + 17 to l, which gives l = t + 83.\n6. Substitute t = 12 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 24507,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 20; x = u + 3; g = t + 15; q = g + 6; s = r + 9; z = f + 19; f = q + 9; o = t + 17; u = z + 16; t = 12; l = m + 12; m = s + 14; r = h + 11. If t = 12, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 10", "w": "v + 15", "e": "w + 14", "s": "e + 11", "b": "s + 9", "q": "b + 13", "d": "c + 3", "n": "d + 2", "k": "n + 7", "g": "k + 8", "t": "g + 14", "u": "t + 9", "c": 7}, "premises": {"c": 7}, "target": "q"}, "answer": {"steps": [["b", "s + 9", "s + 22"], ["s", "e + 11", "e + 33"], ["e", "w + 14", "w + 47"], ["w", "v + 15", "v + 62"], ["v", "c + 10", "c + 72"], ["c", 7, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"c": 7}, "is_reverse": true}}
| 24,508
| 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 + 14; s = e + 11; u = t + 9; w = v + 15; d = c + 3; k = n + 7; n = d + 2; c = 7; g = k + 8; b = s + 9; t = g + 14; q = b + 13; v = c + 10. If c = 7, 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 b = s + 9 to q, which gives q = s + 22.\n2. Substitute s = e + 11 to q, which gives q = e + 33.\n3. Substitute e = w + 14 to q, which gives q = w + 47.\n4. Substitute w = v + 15 to q, which gives q = v + 62.\n5. Substitute v = c + 10 to q, which gives q = c + 72.\n6. Substitute c = 7 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 24508,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 14; s = e + 11; u = t + 9; w = v + 15; d = c + 3; k = n + 7; n = d + 2; c = 7; g = k + 8; b = s + 9; t = g + 14; q = b + 13; v = c + 10. If c = 7, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 1", "t": "v + 17", "p": "t + 4", "h": "p + 17", "i": "h + 16", "f": "i + 6", "n": "z + 4", "a": "n + 1", "g": "a + 6", "j": "g + 17", "w": "j + 1", "r": "w + 16", "z": 12}, "premises": {"z": 12}, "target": "f"}, "answer": {"steps": [["i", "h + 16", "h + 22"], ["h", "p + 17", "p + 39"], ["p", "t + 4", "t + 43"], ["t", "v + 17", "v + 60"], ["v", "z + 1", "z + 61"], ["z", 12, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,509
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = i + 6; g = a + 6; a = n + 1; r = w + 16; p = t + 4; v = z + 1; t = v + 17; w = j + 1; i = h + 16; z = 12; h = p + 17; j = g + 17; n = z + 4. Given that z = 12, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 16 to f, which gives f = h + 22.\n2. Substitute h = p + 17 to f, which gives f = p + 39.\n3. Substitute p = t + 4 to f, which gives f = t + 43.\n4. Substitute t = v + 17 to f, which gives f = v + 60.\n5. Substitute v = z + 1 to f, which gives f = z + 61.\n6. Substitute z = 12 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 24509,
"question": "Suppose a collection of variables is related by the following definitions: f = i + 6; g = a + 6; a = n + 1; r = w + 16; p = t + 4; v = z + 1; t = v + 17; w = j + 1; i = h + 16; z = 12; h = p + 17; j = g + 17; n = z + 4. Given that z = 12, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 10", "j": "e + 11", "o": "j + 20", "t": "o + 18", "u": "t + 2", "a": "u + 2", "r": "i + 20", "q": "r + 11", "l": "q + 9", "b": "l + 10", "v": "b + 7", "g": "v + 6", "i": 16}, "premises": {"i": 16}, "target": "a"}, "answer": {"steps": [["u", "t + 2", "t + 4"], ["t", "o + 18", "o + 22"], ["o", "j + 20", "j + 42"], ["j", "e + 11", "e + 53"], ["e", "i + 10", "i + 63"], ["i", 16, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"i": 16}, "is_reverse": true}}
| 24,510
| 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 = o + 18; e = i + 10; g = v + 6; u = t + 2; b = l + 10; j = e + 11; r = i + 20; i = 16; a = u + 2; q = r + 11; l = q + 9; v = b + 7; o = j + 20. If i = 16, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 2 to a, which gives a = t + 4.\n2. Substitute t = o + 18 to a, which gives a = o + 22.\n3. Substitute o = j + 20 to a, which gives a = j + 42.\n4. Substitute j = e + 11 to a, which gives a = e + 53.\n5. Substitute e = i + 10 to a, which gives a = i + 63.\n6. Substitute i = 16 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 24510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 18; e = i + 10; g = v + 6; u = t + 2; b = l + 10; j = e + 11; r = i + 20; i = 16; a = u + 2; q = r + 11; l = q + 9; v = b + 7; o = j + 20. If i = 16, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 19", "w": "y + 17", "z": "w + 16", "c": "z + 11", "n": "c + 9", "e": "n + 14", "h": "t + 7", "g": "h + 9", "o": "g + 18", "i": "o + 5", "v": "i + 6", "k": "v + 12", "t": 14}, "premises": {"t": 14}, "target": "e"}, "answer": {"steps": [["n", "c + 9", "c + 23"], ["c", "z + 11", "z + 34"], ["z", "w + 16", "w + 50"], ["w", "y + 17", "y + 67"], ["y", "t + 19", "t + 86"], ["t", 14, "100"]], "target_var_name": "e", "target_value": 100, "value_dict": {"t": 14}, "is_reverse": true}}
| 24,511
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 16; c = z + 11; i = o + 5; k = v + 12; y = t + 19; v = i + 6; h = t + 7; t = 14; w = y + 17; o = g + 18; e = n + 14; g = h + 9; n = c + 9. Given that t = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 9 to e, which gives e = c + 23.\n2. Substitute c = z + 11 to e, which gives e = z + 34.\n3. Substitute z = w + 16 to e, which gives e = w + 50.\n4. Substitute w = y + 17 to e, which gives e = y + 67.\n5. Substitute y = t + 19 to e, which gives e = t + 86.\n6. Substitute t = 14 to e, which gives e = 100.\n\nThus, the final answer is e = \\boxed{100}.",
"index": 24511,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 16; c = z + 11; i = o + 5; k = v + 12; y = t + 19; v = i + 6; h = t + 7; t = 14; w = y + 17; o = g + 18; e = n + 14; g = h + 9; n = c + 9. Given that t = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"u": "h + 10", "e": "u + 9", "a": "e + 2", "i": "a + 11", "f": "i + 14", "g": "f + 16", "j": "h + 16", "b": "j + 10", "w": "b + 3", "x": "w + 16", "c": "x + 3", "o": "c + 6", "h": 10}, "premises": {"h": 10}, "target": "g"}, "answer": {"steps": [["f", "i + 14", "i + 30"], ["i", "a + 11", "a + 41"], ["a", "e + 2", "e + 43"], ["e", "u + 9", "u + 52"], ["u", "h + 10", "h + 62"], ["h", 10, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"h": 10}, "is_reverse": true}}
| 24,512
| 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 = b + 3; b = j + 10; e = u + 9; u = h + 10; c = x + 3; a = e + 2; o = c + 6; i = a + 11; h = 10; j = h + 16; g = f + 16; f = i + 14; x = w + 16. If h = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = i + 14 to g, which gives g = i + 30.\n2. Substitute i = a + 11 to g, which gives g = a + 41.\n3. Substitute a = e + 2 to g, which gives g = e + 43.\n4. Substitute e = u + 9 to g, which gives g = u + 52.\n5. Substitute u = h + 10 to g, which gives g = h + 62.\n6. Substitute h = 10 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 24512,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 3; b = j + 10; e = u + 9; u = h + 10; c = x + 3; a = e + 2; o = c + 6; i = a + 11; h = 10; j = h + 16; g = f + 16; f = i + 14; x = w + 16. If h = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 9", "r": "e + 10", "l": "r + 19", "g": "l + 9", "q": "g + 20", "n": "q + 7", "z": "s + 9", "y": "z + 12", "f": "y + 11", "p": "f + 9", "a": "p + 9", "m": "a + 19", "s": 11}, "premises": {"s": 11}, "target": "n"}, "answer": {"steps": [["q", "g + 20", "g + 27"], ["g", "l + 9", "l + 36"], ["l", "r + 19", "r + 55"], ["r", "e + 10", "e + 65"], ["e", "s + 9", "s + 74"], ["s", 11, "85"]], "target_var_name": "n", "target_value": 85, "value_dict": {"s": 11}, "is_reverse": true}}
| 24,513
| 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 = q + 7; l = r + 19; f = y + 11; m = a + 19; a = p + 9; g = l + 9; q = g + 20; e = s + 9; s = 11; r = e + 10; p = f + 9; z = s + 9; y = z + 12. If s = 11, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 20 to n, which gives n = g + 27.\n2. Substitute g = l + 9 to n, which gives n = l + 36.\n3. Substitute l = r + 19 to n, which gives n = r + 55.\n4. Substitute r = e + 10 to n, which gives n = e + 65.\n5. Substitute e = s + 9 to n, which gives n = s + 74.\n6. Substitute s = 11 to n, which gives n = 85.\n\nThus, the final answer is n = \\boxed{85}.",
"index": 24513,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 7; l = r + 19; f = y + 11; m = a + 19; a = p + 9; g = l + 9; q = g + 20; e = s + 9; s = 11; r = e + 10; p = f + 9; z = s + 9; y = z + 12. If s = 11, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 13", "r": "e + 3", "z": "r + 18", "l": "z + 16", "i": "l + 3", "v": "i + 19", "q": "t + 4", "x": "q + 4", "p": "x + 12", "m": "p + 14", "g": "m + 2", "y": "g + 8", "t": 3}, "premises": {"t": 3}, "target": "v"}, "answer": {"steps": [["i", "l + 3", "l + 22"], ["l", "z + 16", "z + 38"], ["z", "r + 18", "r + 56"], ["r", "e + 3", "e + 59"], ["e", "t + 13", "t + 72"], ["t", 3, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"t": 3}, "is_reverse": true}}
| 24,514
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 4; z = r + 18; p = x + 12; r = e + 3; i = l + 3; g = m + 2; v = i + 19; l = z + 16; x = q + 4; y = g + 8; e = t + 13; t = 3; m = p + 14. If t = 3, 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 i = l + 3 to v, which gives v = l + 22.\n2. Substitute l = z + 16 to v, which gives v = z + 38.\n3. Substitute z = r + 18 to v, which gives v = r + 56.\n4. Substitute r = e + 3 to v, which gives v = e + 59.\n5. Substitute e = t + 13 to v, which gives v = t + 72.\n6. Substitute t = 3 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 24514,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 4; z = r + 18; p = x + 12; r = e + 3; i = l + 3; g = m + 2; v = i + 19; l = z + 16; x = q + 4; y = g + 8; e = t + 13; t = 3; m = p + 14. If t = 3, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 11", "h": "l + 5", "o": "h + 16", "y": "o + 15", "p": "y + 4", "i": "p + 18", "k": "b + 18", "u": "k + 13", "t": "u + 4", "c": "t + 8", "j": "c + 18", "w": "j + 17", "b": 10}, "premises": {"b": 10}, "target": "i"}, "answer": {"steps": [["p", "y + 4", "y + 22"], ["y", "o + 15", "o + 37"], ["o", "h + 16", "h + 53"], ["h", "l + 5", "l + 58"], ["l", "b + 11", "b + 69"], ["b", 10, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"b": 10}, "is_reverse": true}}
| 24,515
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 18; w = j + 17; p = y + 4; b = 10; j = c + 18; c = t + 8; y = o + 15; u = k + 13; l = b + 11; o = h + 16; k = b + 18; t = u + 4; h = l + 5. If b = 10, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 4 to i, which gives i = y + 22.\n2. Substitute y = o + 15 to i, which gives i = o + 37.\n3. Substitute o = h + 16 to i, which gives i = h + 53.\n4. Substitute h = l + 5 to i, which gives i = l + 58.\n5. Substitute l = b + 11 to i, which gives i = b + 69.\n6. Substitute b = 10 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 24515,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 18; w = j + 17; p = y + 4; b = 10; j = c + 18; c = t + 8; y = o + 15; u = k + 13; l = b + 11; o = h + 16; k = b + 18; t = u + 4; h = l + 5. If b = 10, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 9", "e": "c + 10", "t": "e + 13", "v": "t + 3", "p": "v + 5", "y": "p + 4", "g": "u + 16", "n": "g + 4", "f": "n + 18", "b": "f + 8", "m": "b + 18", "a": "m + 16", "u": 12}, "premises": {"u": 12}, "target": "y"}, "answer": {"steps": [["p", "v + 5", "v + 9"], ["v", "t + 3", "t + 12"], ["t", "e + 13", "e + 25"], ["e", "c + 10", "c + 35"], ["c", "u + 9", "u + 44"], ["u", 12, "56"]], "target_var_name": "y", "target_value": 56, "value_dict": {"u": 12}, "is_reverse": true}}
| 24,516
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 18; f = n + 18; n = g + 4; v = t + 3; e = c + 10; y = p + 4; c = u + 9; t = e + 13; g = u + 16; u = 12; a = m + 16; p = v + 5; b = f + 8. Given that u = 12, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 5 to y, which gives y = v + 9.\n2. Substitute v = t + 3 to y, which gives y = t + 12.\n3. Substitute t = e + 13 to y, which gives y = e + 25.\n4. Substitute e = c + 10 to y, which gives y = c + 35.\n5. Substitute c = u + 9 to y, which gives y = u + 44.\n6. Substitute u = 12 to y, which gives y = 56.\n\nThus, the final answer is y = \\boxed{56}.",
"index": 24516,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 18; f = n + 18; n = g + 4; v = t + 3; e = c + 10; y = p + 4; c = u + 9; t = e + 13; g = u + 16; u = 12; a = m + 16; p = v + 5; b = f + 8. Given that u = 12, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 16", "m": "c + 12", "l": "m + 13", "f": "l + 17", "d": "f + 2", "w": "d + 11", "k": "q + 14", "o": "k + 20", "t": "o + 17", "x": "t + 4", "a": "x + 4", "p": "a + 4", "q": 9}, "premises": {"q": 9}, "target": "w"}, "answer": {"steps": [["d", "f + 2", "f + 13"], ["f", "l + 17", "l + 30"], ["l", "m + 13", "m + 43"], ["m", "c + 12", "c + 55"], ["c", "q + 16", "q + 71"], ["q", 9, "80"]], "target_var_name": "w", "target_value": 80, "value_dict": {"q": 9}, "is_reverse": true}}
| 24,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 4; p = a + 4; c = q + 16; x = t + 4; o = k + 20; q = 9; k = q + 14; t = o + 17; m = c + 12; d = f + 2; l = m + 13; w = d + 11; f = l + 17. Given that q = 9, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 2 to w, which gives w = f + 13.\n2. Substitute f = l + 17 to w, which gives w = l + 30.\n3. Substitute l = m + 13 to w, which gives w = m + 43.\n4. Substitute m = c + 12 to w, which gives w = c + 55.\n5. Substitute c = q + 16 to w, which gives w = q + 71.\n6. Substitute q = 9 to w, which gives w = 80.\n\nThus, the final answer is w = \\boxed{80}.",
"index": 24517,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 4; p = a + 4; c = q + 16; x = t + 4; o = k + 20; q = 9; k = q + 14; t = o + 17; m = c + 12; d = f + 2; l = m + 13; w = d + 11; f = l + 17. Given that q = 9, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "x + 9", "n": "m + 18", "d": "n + 5", "k": "d + 16", "l": "k + 1", "g": "l + 2", "f": "x + 18", "t": "f + 20", "z": "t + 11", "a": "z + 18", "w": "a + 1", "r": "w + 8", "x": 14}, "premises": {"x": 14}, "target": "g"}, "answer": {"steps": [["l", "k + 1", "k + 3"], ["k", "d + 16", "d + 19"], ["d", "n + 5", "n + 24"], ["n", "m + 18", "m + 42"], ["m", "x + 9", "x + 51"], ["x", 14, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"x": 14}, "is_reverse": true}}
| 24,518
| 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 = d + 16; f = x + 18; d = n + 5; g = l + 2; a = z + 18; x = 14; n = m + 18; m = x + 9; t = f + 20; l = k + 1; z = t + 11; w = a + 1; r = w + 8. If x = 14, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = k + 1 to g, which gives g = k + 3.\n2. Substitute k = d + 16 to g, which gives g = d + 19.\n3. Substitute d = n + 5 to g, which gives g = n + 24.\n4. Substitute n = m + 18 to g, which gives g = m + 42.\n5. Substitute m = x + 9 to g, which gives g = x + 51.\n6. Substitute x = 14 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 24518,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = d + 16; f = x + 18; d = n + 5; g = l + 2; a = z + 18; x = 14; n = m + 18; m = x + 9; t = f + 20; l = k + 1; z = t + 11; w = a + 1; r = w + 8. If x = 14, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 12", "x": "n + 10", "a": "x + 18", "u": "a + 4", "c": "u + 20", "f": "c + 3", "j": "v + 14", "b": "j + 11", "p": "b + 3", "k": "p + 15", "q": "k + 9", "o": "q + 8", "v": 17}, "premises": {"v": 17}, "target": "f"}, "answer": {"steps": [["c", "u + 20", "u + 23"], ["u", "a + 4", "a + 27"], ["a", "x + 18", "x + 45"], ["x", "n + 10", "n + 55"], ["n", "v + 12", "v + 67"], ["v", 17, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"v": 17}, "is_reverse": true}}
| 24,519
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 12; c = u + 20; a = x + 18; v = 17; q = k + 9; k = p + 15; j = v + 14; p = b + 3; b = j + 11; f = c + 3; u = a + 4; o = q + 8; x = n + 10. If v = 17, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 20 to f, which gives f = u + 23.\n2. Substitute u = a + 4 to f, which gives f = a + 27.\n3. Substitute a = x + 18 to f, which gives f = x + 45.\n4. Substitute x = n + 10 to f, which gives f = n + 55.\n5. Substitute n = v + 12 to f, which gives f = v + 67.\n6. Substitute v = 17 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 24519,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 12; c = u + 20; a = x + 18; v = 17; q = k + 9; k = p + 15; j = v + 14; p = b + 3; b = j + 11; f = c + 3; u = a + 4; o = q + 8; x = n + 10. If v = 17, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "z + 11", "o": "d + 15", "l": "o + 5", "x": "l + 5", "f": "x + 10", "e": "f + 19", "a": "z + 13", "r": "a + 17", "c": "r + 4", "n": "c + 4", "v": "n + 14", "j": "v + 12", "z": 15}, "premises": {"z": 15}, "target": "e"}, "answer": {"steps": [["f", "x + 10", "x + 29"], ["x", "l + 5", "l + 34"], ["l", "o + 5", "o + 39"], ["o", "d + 15", "d + 54"], ["d", "z + 11", "z + 65"], ["z", 15, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"z": 15}, "is_reverse": true}}
| 24,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 4; n = c + 4; d = z + 11; e = f + 19; a = z + 13; f = x + 10; z = 15; v = n + 14; j = v + 12; r = a + 17; x = l + 5; o = d + 15; l = o + 5. Given that z = 15, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 10 to e, which gives e = x + 29.\n2. Substitute x = l + 5 to e, which gives e = l + 34.\n3. Substitute l = o + 5 to e, which gives e = o + 39.\n4. Substitute o = d + 15 to e, which gives e = d + 54.\n5. Substitute d = z + 11 to e, which gives e = z + 65.\n6. Substitute z = 15 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 24520,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 4; n = c + 4; d = z + 11; e = f + 19; a = z + 13; f = x + 10; z = 15; v = n + 14; j = v + 12; r = a + 17; x = l + 5; o = d + 15; l = o + 5. Given that z = 15, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 14", "z": "a + 17", "x": "z + 4", "t": "x + 14", "r": "t + 7", "w": "r + 18", "h": "d + 1", "i": "h + 15", "u": "i + 18", "b": "u + 14", "o": "b + 20", "y": "o + 20", "d": 10}, "premises": {"d": 10}, "target": "w"}, "answer": {"steps": [["r", "t + 7", "t + 25"], ["t", "x + 14", "x + 39"], ["x", "z + 4", "z + 43"], ["z", "a + 17", "a + 60"], ["a", "d + 14", "d + 74"], ["d", 10, "84"]], "target_var_name": "w", "target_value": 84, "value_dict": {"d": 10}, "is_reverse": true}}
| 24,521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = 10; z = a + 17; r = t + 7; o = b + 20; b = u + 14; u = i + 18; t = x + 14; h = d + 1; y = o + 20; i = h + 15; x = z + 4; a = d + 14; w = r + 18. If d = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 7 to w, which gives w = t + 25.\n2. Substitute t = x + 14 to w, which gives w = x + 39.\n3. Substitute x = z + 4 to w, which gives w = z + 43.\n4. Substitute z = a + 17 to w, which gives w = a + 60.\n5. Substitute a = d + 14 to w, which gives w = d + 74.\n6. Substitute d = 10 to w, which gives w = 84.\n\nThus, the final answer is w = \\boxed{84}.",
"index": 24521,
"question": "Consider a system of variables where each variable is defined as follows: d = 10; z = a + 17; r = t + 7; o = b + 20; b = u + 14; u = i + 18; t = x + 14; h = d + 1; y = o + 20; i = h + 15; x = z + 4; a = d + 14; w = r + 18. If d = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 18", "t": "k + 5", "v": "t + 10", "q": "v + 5", "x": "q + 20", "b": "x + 9", "j": "c + 11", "n": "j + 4", "a": "n + 2", "y": "a + 13", "h": "y + 10", "s": "h + 6", "c": 10}, "premises": {"c": 10}, "target": "b"}, "answer": {"steps": [["x", "q + 20", "q + 29"], ["q", "v + 5", "v + 34"], ["v", "t + 10", "t + 44"], ["t", "k + 5", "k + 49"], ["k", "c + 18", "c + 67"], ["c", 10, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"c": 10}, "is_reverse": true}}
| 24,522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 10; j = c + 11; x = q + 20; a = n + 2; s = h + 6; t = k + 5; y = a + 13; v = t + 10; b = x + 9; n = j + 4; q = v + 5; h = y + 10; k = c + 18. If c = 10, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 20 to b, which gives b = q + 29.\n2. Substitute q = v + 5 to b, which gives b = v + 34.\n3. Substitute v = t + 10 to b, which gives b = t + 44.\n4. Substitute t = k + 5 to b, which gives b = k + 49.\n5. Substitute k = c + 18 to b, which gives b = c + 67.\n6. Substitute c = 10 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 24522,
"question": "Consider a system of variables where each variable is defined as follows: c = 10; j = c + 11; x = q + 20; a = n + 2; s = h + 6; t = k + 5; y = a + 13; v = t + 10; b = x + 9; n = j + 4; q = v + 5; h = y + 10; k = c + 18. If c = 10, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 14", "n": "y + 16", "p": "n + 17", "v": "p + 11", "e": "v + 10", "m": "e + 12", "u": "l + 9", "b": "u + 6", "r": "b + 4", "t": "r + 16", "q": "t + 13", "x": "q + 10", "l": 15}, "premises": {"l": 15}, "target": "m"}, "answer": {"steps": [["e", "v + 10", "v + 22"], ["v", "p + 11", "p + 33"], ["p", "n + 17", "n + 50"], ["n", "y + 16", "y + 66"], ["y", "l + 14", "l + 80"], ["l", 15, "95"]], "target_var_name": "m", "target_value": 95, "value_dict": {"l": 15}, "is_reverse": true}}
| 24,523
| 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 = e + 12; q = t + 13; v = p + 11; t = r + 16; l = 15; y = l + 14; b = u + 6; e = v + 10; r = b + 4; u = l + 9; x = q + 10; n = y + 16; p = n + 17. If l = 15, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 10 to m, which gives m = v + 22.\n2. Substitute v = p + 11 to m, which gives m = p + 33.\n3. Substitute p = n + 17 to m, which gives m = n + 50.\n4. Substitute n = y + 16 to m, which gives m = y + 66.\n5. Substitute y = l + 14 to m, which gives m = l + 80.\n6. Substitute l = 15 to m, which gives m = 95.\n\nThus, the final answer is m = \\boxed{95}.",
"index": 24523,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 12; q = t + 13; v = p + 11; t = r + 16; l = 15; y = l + 14; b = u + 6; e = v + 10; r = b + 4; u = l + 9; x = q + 10; n = y + 16; p = n + 17. If l = 15, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"p": "n + 14", "e": "p + 19", "i": "e + 7", "x": "i + 13", "b": "x + 3", "r": "b + 7", "h": "n + 12", "c": "h + 6", "f": "c + 9", "t": "f + 2", "z": "t + 5", "v": "z + 12", "n": 18}, "premises": {"n": 18}, "target": "r"}, "answer": {"steps": [["b", "x + 3", "x + 10"], ["x", "i + 13", "i + 23"], ["i", "e + 7", "e + 30"], ["e", "p + 19", "p + 49"], ["p", "n + 14", "n + 63"], ["n", 18, "81"]], "target_var_name": "r", "target_value": 81, "value_dict": {"n": 18}, "is_reverse": true}}
| 24,524
| 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 = n + 12; p = n + 14; n = 18; x = i + 13; t = f + 2; c = h + 6; r = b + 7; b = x + 3; f = c + 9; i = e + 7; z = t + 5; e = p + 19; v = z + 12. If n = 18, 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 b = x + 3 to r, which gives r = x + 10.\n2. Substitute x = i + 13 to r, which gives r = i + 23.\n3. Substitute i = e + 7 to r, which gives r = e + 30.\n4. Substitute e = p + 19 to r, which gives r = p + 49.\n5. Substitute p = n + 14 to r, which gives r = n + 63.\n6. Substitute n = 18 to r, which gives r = 81.\n\nThus, the final answer is r = \\boxed{81}.",
"index": 24524,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 12; p = n + 14; n = 18; x = i + 13; t = f + 2; c = h + 6; r = b + 7; b = x + 3; f = c + 9; i = e + 7; z = t + 5; e = p + 19; v = z + 12. If n = 18, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 16", "x": "g + 11", "a": "x + 5", "q": "a + 20", "m": "q + 2", "r": "m + 2", "c": "y + 6", "i": "c + 12", "o": "i + 9", "w": "o + 19", "n": "w + 6", "j": "n + 10", "y": 4}, "premises": {"y": 4}, "target": "r"}, "answer": {"steps": [["m", "q + 2", "q + 4"], ["q", "a + 20", "a + 24"], ["a", "x + 5", "x + 29"], ["x", "g + 11", "g + 40"], ["g", "y + 16", "y + 56"], ["y", 4, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"y": 4}, "is_reverse": true}}
| 24,525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 16; r = m + 2; x = g + 11; q = a + 20; a = x + 5; o = i + 9; i = c + 12; m = q + 2; j = n + 10; w = o + 19; y = 4; c = y + 6; n = w + 6. If y = 4, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 2 to r, which gives r = q + 4.\n2. Substitute q = a + 20 to r, which gives r = a + 24.\n3. Substitute a = x + 5 to r, which gives r = x + 29.\n4. Substitute x = g + 11 to r, which gives r = g + 40.\n5. Substitute g = y + 16 to r, which gives r = y + 56.\n6. Substitute y = 4 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 24525,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 16; r = m + 2; x = g + 11; q = a + 20; a = x + 5; o = i + 9; i = c + 12; m = q + 2; j = n + 10; w = o + 19; y = 4; c = y + 6; n = w + 6. If y = 4, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "x + 8", "v": "h + 20", "s": "v + 12", "m": "s + 10", "i": "m + 20", "f": "i + 20", "q": "x + 7", "j": "q + 19", "e": "j + 9", "u": "e + 8", "w": "u + 7", "b": "w + 10", "x": 11}, "premises": {"x": 11}, "target": "f"}, "answer": {"steps": [["i", "m + 20", "m + 40"], ["m", "s + 10", "s + 50"], ["s", "v + 12", "v + 62"], ["v", "h + 20", "h + 82"], ["h", "x + 8", "x + 90"], ["x", 11, "101"]], "target_var_name": "f", "target_value": 101, "value_dict": {"x": 11}, "is_reverse": true}}
| 24,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 7; b = w + 10; s = v + 12; j = q + 19; x = 11; f = i + 20; m = s + 10; h = x + 8; e = j + 9; u = e + 8; q = x + 7; i = m + 20; v = h + 20. If x = 11, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 20 to f, which gives f = m + 40.\n2. Substitute m = s + 10 to f, which gives f = s + 50.\n3. Substitute s = v + 12 to f, which gives f = v + 62.\n4. Substitute v = h + 20 to f, which gives f = h + 82.\n5. Substitute h = x + 8 to f, which gives f = x + 90.\n6. Substitute x = 11 to f, which gives f = 101.\n\nThus, the final answer is f = \\boxed{101}.",
"index": 24526,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 7; b = w + 10; s = v + 12; j = q + 19; x = 11; f = i + 20; m = s + 10; h = x + 8; e = j + 9; u = e + 8; q = x + 7; i = m + 20; v = h + 20. If x = 11, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 11", "y": "d + 2", "o": "y + 16", "m": "o + 11", "s": "m + 5", "e": "s + 16", "p": "k + 16", "r": "p + 20", "x": "r + 10", "g": "x + 13", "q": "g + 4", "z": "q + 17", "k": 3}, "premises": {"k": 3}, "target": "e"}, "answer": {"steps": [["s", "m + 5", "m + 21"], ["m", "o + 11", "o + 32"], ["o", "y + 16", "y + 48"], ["y", "d + 2", "d + 50"], ["d", "k + 11", "k + 61"], ["k", 3, "64"]], "target_var_name": "e", "target_value": 64, "value_dict": {"k": 3}, "is_reverse": true}}
| 24,527
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = q + 17; e = s + 16; p = k + 16; g = x + 13; r = p + 20; x = r + 10; o = y + 16; s = m + 5; q = g + 4; y = d + 2; k = 3; m = o + 11; d = k + 11. Given that k = 3, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 5 to e, which gives e = m + 21.\n2. Substitute m = o + 11 to e, which gives e = o + 32.\n3. Substitute o = y + 16 to e, which gives e = y + 48.\n4. Substitute y = d + 2 to e, which gives e = d + 50.\n5. Substitute d = k + 11 to e, which gives e = k + 61.\n6. Substitute k = 3 to e, which gives e = 64.\n\nThus, the final answer is e = \\boxed{64}.",
"index": 24527,
"question": "Suppose a collection of variables is related by the following definitions: z = q + 17; e = s + 16; p = k + 16; g = x + 13; r = p + 20; x = r + 10; o = y + 16; s = m + 5; q = g + 4; y = d + 2; k = 3; m = o + 11; d = k + 11. Given that k = 3, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 9", "l": "g + 2", "j": "l + 2", "e": "j + 5", "x": "e + 14", "c": "x + 8", "i": "a + 4", "y": "i + 10", "p": "y + 8", "o": "p + 16", "z": "o + 6", "h": "z + 13", "a": 19}, "premises": {"a": 19}, "target": "c"}, "answer": {"steps": [["x", "e + 14", "e + 22"], ["e", "j + 5", "j + 27"], ["j", "l + 2", "l + 29"], ["l", "g + 2", "g + 31"], ["g", "a + 9", "a + 40"], ["a", 19, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"a": 19}, "is_reverse": true}}
| 24,528
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = g + 2; y = i + 10; j = l + 2; p = y + 8; i = a + 4; o = p + 16; z = o + 6; e = j + 5; x = e + 14; a = 19; h = z + 13; g = a + 9; c = x + 8. Given that a = 19, 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 x = e + 14 to c, which gives c = e + 22.\n2. Substitute e = j + 5 to c, which gives c = j + 27.\n3. Substitute j = l + 2 to c, which gives c = l + 29.\n4. Substitute l = g + 2 to c, which gives c = g + 31.\n5. Substitute g = a + 9 to c, which gives c = a + 40.\n6. Substitute a = 19 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 24528,
"question": "Suppose a collection of variables is related by the following definitions: l = g + 2; y = i + 10; j = l + 2; p = y + 8; i = a + 4; o = p + 16; z = o + 6; e = j + 5; x = e + 14; a = 19; h = z + 13; g = a + 9; c = x + 8. Given that a = 19, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 19", "w": "h + 4", "a": "w + 12", "q": "a + 11", "x": "q + 4", "i": "x + 17", "t": "z + 11", "s": "t + 11", "n": "s + 1", "p": "n + 10", "m": "p + 4", "v": "m + 2", "z": 5}, "premises": {"z": 5}, "target": "i"}, "answer": {"steps": [["x", "q + 4", "q + 21"], ["q", "a + 11", "a + 32"], ["a", "w + 12", "w + 44"], ["w", "h + 4", "h + 48"], ["h", "z + 19", "z + 67"], ["z", 5, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"z": 5}, "is_reverse": true}}
| 24,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 19; q = a + 11; i = x + 17; a = w + 12; n = s + 1; t = z + 11; x = q + 4; p = n + 10; w = h + 4; s = t + 11; v = m + 2; z = 5; m = p + 4. Given that z = 5, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 4 to i, which gives i = q + 21.\n2. Substitute q = a + 11 to i, which gives i = a + 32.\n3. Substitute a = w + 12 to i, which gives i = w + 44.\n4. Substitute w = h + 4 to i, which gives i = h + 48.\n5. Substitute h = z + 19 to i, which gives i = z + 67.\n6. Substitute z = 5 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 24529,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 19; q = a + 11; i = x + 17; a = w + 12; n = s + 1; t = z + 11; x = q + 4; p = n + 10; w = h + 4; s = t + 11; v = m + 2; z = 5; m = p + 4. Given that z = 5, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 14", "r": "f + 9", "j": "r + 13", "m": "j + 6", "x": "m + 5", "c": "x + 13", "w": "t + 10", "h": "w + 1", "e": "h + 10", "p": "e + 19", "n": "p + 8", "o": "n + 2", "t": 18}, "premises": {"t": 18}, "target": "c"}, "answer": {"steps": [["x", "m + 5", "m + 18"], ["m", "j + 6", "j + 24"], ["j", "r + 13", "r + 37"], ["r", "f + 9", "f + 46"], ["f", "t + 14", "t + 60"], ["t", 18, "78"]], "target_var_name": "c", "target_value": 78, "value_dict": {"t": 18}, "is_reverse": true}}
| 24,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 19; x = m + 5; c = x + 13; j = r + 13; w = t + 10; h = w + 1; r = f + 9; m = j + 6; f = t + 14; t = 18; n = p + 8; o = n + 2; e = h + 10. Given that t = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 5 to c, which gives c = m + 18.\n2. Substitute m = j + 6 to c, which gives c = j + 24.\n3. Substitute j = r + 13 to c, which gives c = r + 37.\n4. Substitute r = f + 9 to c, which gives c = f + 46.\n5. Substitute f = t + 14 to c, which gives c = t + 60.\n6. Substitute t = 18 to c, which gives c = 78.\n\nThus, the final answer is c = \\boxed{78}.",
"index": 24530,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 19; x = m + 5; c = x + 13; j = r + 13; w = t + 10; h = w + 1; r = f + 9; m = j + 6; f = t + 14; t = 18; n = p + 8; o = n + 2; e = h + 10. Given that t = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 11", "n": "s + 15", "y": "n + 5", "v": "y + 12", "m": "v + 18", "c": "m + 3", "q": "l + 7", "f": "q + 19", "o": "f + 11", "i": "o + 7", "r": "i + 15", "d": "r + 1", "l": 2}, "premises": {"l": 2}, "target": "c"}, "answer": {"steps": [["m", "v + 18", "v + 21"], ["v", "y + 12", "y + 33"], ["y", "n + 5", "n + 38"], ["n", "s + 15", "s + 53"], ["s", "l + 11", "l + 64"], ["l", 2, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"l": 2}, "is_reverse": true}}
| 24,531
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 19; n = s + 15; o = f + 11; m = v + 18; q = l + 7; y = n + 5; c = m + 3; v = y + 12; r = i + 15; d = r + 1; s = l + 11; i = o + 7; l = 2. Given that l = 2, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = v + 18 to c, which gives c = v + 21.\n2. Substitute v = y + 12 to c, which gives c = y + 33.\n3. Substitute y = n + 5 to c, which gives c = n + 38.\n4. Substitute n = s + 15 to c, which gives c = s + 53.\n5. Substitute s = l + 11 to c, which gives c = l + 64.\n6. Substitute l = 2 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 24531,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 19; n = s + 15; o = f + 11; m = v + 18; q = l + 7; y = n + 5; c = m + 3; v = y + 12; r = i + 15; d = r + 1; s = l + 11; i = o + 7; l = 2. Given that l = 2, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 15", "c": "r + 2", "n": "c + 2", "k": "n + 11", "v": "k + 7", "s": "v + 15", "q": "e + 14", "b": "q + 11", "j": "b + 19", "o": "j + 18", "p": "o + 20", "z": "p + 1", "e": 9}, "premises": {"e": 9}, "target": "s"}, "answer": {"steps": [["v", "k + 7", "k + 22"], ["k", "n + 11", "n + 33"], ["n", "c + 2", "c + 35"], ["c", "r + 2", "r + 37"], ["r", "e + 15", "e + 52"], ["e", 9, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"e": 9}, "is_reverse": true}}
| 24,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = r + 2; o = j + 18; k = n + 11; e = 9; j = b + 19; z = p + 1; p = o + 20; b = q + 11; n = c + 2; v = k + 7; s = v + 15; r = e + 15; q = e + 14. If e = 9, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 7 to s, which gives s = k + 22.\n2. Substitute k = n + 11 to s, which gives s = n + 33.\n3. Substitute n = c + 2 to s, which gives s = c + 35.\n4. Substitute c = r + 2 to s, which gives s = r + 37.\n5. Substitute r = e + 15 to s, which gives s = e + 52.\n6. Substitute e = 9 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 24532,
"question": "Consider a system of variables where each variable is defined as follows: c = r + 2; o = j + 18; k = n + 11; e = 9; j = b + 19; z = p + 1; p = o + 20; b = q + 11; n = c + 2; v = k + 7; s = v + 15; r = e + 15; q = e + 14. If e = 9, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 3", "j": "f + 13", "n": "j + 20", "c": "n + 17", "x": "c + 3", "y": "x + 13", "k": "o + 15", "r": "k + 7", "v": "r + 19", "e": "v + 18", "i": "e + 1", "g": "i + 3", "o": 14}, "premises": {"o": 14}, "target": "y"}, "answer": {"steps": [["x", "c + 3", "c + 16"], ["c", "n + 17", "n + 33"], ["n", "j + 20", "j + 53"], ["j", "f + 13", "f + 66"], ["f", "o + 3", "o + 69"], ["o", 14, "83"]], "target_var_name": "y", "target_value": 83, "value_dict": {"o": 14}, "is_reverse": true}}
| 24,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = v + 18; c = n + 17; g = i + 3; v = r + 19; k = o + 15; o = 14; x = c + 3; y = x + 13; n = j + 20; j = f + 13; f = o + 3; r = k + 7; i = e + 1. If o = 14, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 3 to y, which gives y = c + 16.\n2. Substitute c = n + 17 to y, which gives y = n + 33.\n3. Substitute n = j + 20 to y, which gives y = j + 53.\n4. Substitute j = f + 13 to y, which gives y = f + 66.\n5. Substitute f = o + 3 to y, which gives y = o + 69.\n6. Substitute o = 14 to y, which gives y = 83.\n\nThus, the final answer is y = \\boxed{83}.",
"index": 24533,
"question": "Consider a system of variables where each variable is defined as follows: e = v + 18; c = n + 17; g = i + 3; v = r + 19; k = o + 15; o = 14; x = c + 3; y = x + 13; n = j + 20; j = f + 13; f = o + 3; r = k + 7; i = e + 1. If o = 14, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 3", "i": "r + 1", "p": "i + 10", "j": "p + 14", "k": "j + 16", "y": "k + 14", "t": "s + 18", "e": "t + 7", "q": "e + 6", "m": "q + 14", "d": "m + 1", "v": "d + 4", "s": 9}, "premises": {"s": 9}, "target": "y"}, "answer": {"steps": [["k", "j + 16", "j + 30"], ["j", "p + 14", "p + 44"], ["p", "i + 10", "i + 54"], ["i", "r + 1", "r + 55"], ["r", "s + 3", "s + 58"], ["s", 9, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"s": 9}, "is_reverse": true}}
| 24,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 4; d = m + 1; p = i + 10; s = 9; i = r + 1; t = s + 18; j = p + 14; r = s + 3; e = t + 7; q = e + 6; k = j + 16; y = k + 14; m = q + 14. Given that s = 9, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 16 to y, which gives y = j + 30.\n2. Substitute j = p + 14 to y, which gives y = p + 44.\n3. Substitute p = i + 10 to y, which gives y = i + 54.\n4. Substitute i = r + 1 to y, which gives y = r + 55.\n5. Substitute r = s + 3 to y, which gives y = s + 58.\n6. Substitute s = 9 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 24534,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 4; d = m + 1; p = i + 10; s = 9; i = r + 1; t = s + 18; j = p + 14; r = s + 3; e = t + 7; q = e + 6; k = j + 16; y = k + 14; m = q + 14. Given that s = 9, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 13", "u": "n + 6", "b": "u + 6", "v": "b + 9", "h": "v + 18", "i": "h + 20", "p": "c + 5", "e": "p + 15", "w": "e + 13", "l": "w + 14", "x": "l + 12", "s": "x + 18", "c": 20}, "premises": {"c": 20}, "target": "i"}, "answer": {"steps": [["h", "v + 18", "v + 38"], ["v", "b + 9", "b + 47"], ["b", "u + 6", "u + 53"], ["u", "n + 6", "n + 59"], ["n", "c + 13", "c + 72"], ["c", 20, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"c": 20}, "is_reverse": true}}
| 24,535
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = l + 12; u = n + 6; b = u + 6; l = w + 14; n = c + 13; e = p + 15; p = c + 5; h = v + 18; s = x + 18; w = e + 13; v = b + 9; c = 20; i = h + 20. Given that c = 20, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 18 to i, which gives i = v + 38.\n2. Substitute v = b + 9 to i, which gives i = b + 47.\n3. Substitute b = u + 6 to i, which gives i = u + 53.\n4. Substitute u = n + 6 to i, which gives i = n + 59.\n5. Substitute n = c + 13 to i, which gives i = c + 72.\n6. Substitute c = 20 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 24535,
"question": "Suppose a collection of variables is related by the following definitions: x = l + 12; u = n + 6; b = u + 6; l = w + 14; n = c + 13; e = p + 15; p = c + 5; h = v + 18; s = x + 18; w = e + 13; v = b + 9; c = 20; i = h + 20. Given that c = 20, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "x + 9", "a": "w + 6", "p": "a + 14", "b": "p + 7", "e": "b + 6", "l": "e + 5", "s": "x + 1", "q": "s + 8", "n": "q + 11", "g": "n + 18", "j": "g + 11", "r": "j + 6", "x": 14}, "premises": {"x": 14}, "target": "l"}, "answer": {"steps": [["e", "b + 6", "b + 11"], ["b", "p + 7", "p + 18"], ["p", "a + 14", "a + 32"], ["a", "w + 6", "w + 38"], ["w", "x + 9", "x + 47"], ["x", 14, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"x": 14}, "is_reverse": true}}
| 24,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 1; a = w + 6; p = a + 14; q = s + 8; r = j + 6; e = b + 6; x = 14; g = n + 18; b = p + 7; w = x + 9; n = q + 11; j = g + 11; l = e + 5. Given that x = 14, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 6 to l, which gives l = b + 11.\n2. Substitute b = p + 7 to l, which gives l = p + 18.\n3. Substitute p = a + 14 to l, which gives l = a + 32.\n4. Substitute a = w + 6 to l, which gives l = w + 38.\n5. Substitute w = x + 9 to l, which gives l = x + 47.\n6. Substitute x = 14 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 24536,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 1; a = w + 6; p = a + 14; q = s + 8; r = j + 6; e = b + 6; x = 14; g = n + 18; b = p + 7; w = x + 9; n = q + 11; j = g + 11; l = e + 5. Given that x = 14, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 12", "l": "v + 7", "a": "l + 5", "k": "a + 10", "q": "k + 9", "x": "q + 20", "g": "w + 11", "z": "g + 10", "s": "z + 4", "f": "s + 14", "n": "f + 17", "u": "n + 15", "w": 4}, "premises": {"w": 4}, "target": "x"}, "answer": {"steps": [["q", "k + 9", "k + 29"], ["k", "a + 10", "a + 39"], ["a", "l + 5", "l + 44"], ["l", "v + 7", "v + 51"], ["v", "w + 12", "w + 63"], ["w", 4, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"w": 4}, "is_reverse": true}}
| 24,537
| 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 = w + 11; q = k + 9; x = q + 20; w = 4; a = l + 5; z = g + 10; u = n + 15; l = v + 7; k = a + 10; n = f + 17; f = s + 14; s = z + 4; v = w + 12. If w = 4, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = k + 9 to x, which gives x = k + 29.\n2. Substitute k = a + 10 to x, which gives x = a + 39.\n3. Substitute a = l + 5 to x, which gives x = l + 44.\n4. Substitute l = v + 7 to x, which gives x = v + 51.\n5. Substitute v = w + 12 to x, which gives x = w + 63.\n6. Substitute w = 4 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 24537,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = w + 11; q = k + 9; x = q + 20; w = 4; a = l + 5; z = g + 10; u = n + 15; l = v + 7; k = a + 10; n = f + 17; f = s + 14; s = z + 4; v = w + 12. If w = 4, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 10", "d": "i + 1", "r": "d + 8", "k": "r + 6", "t": "k + 11", "l": "t + 18", "p": "y + 18", "c": "p + 9", "h": "c + 4", "n": "h + 18", "s": "n + 4", "b": "s + 12", "y": 20}, "premises": {"y": 20}, "target": "l"}, "answer": {"steps": [["t", "k + 11", "k + 29"], ["k", "r + 6", "r + 35"], ["r", "d + 8", "d + 43"], ["d", "i + 1", "i + 44"], ["i", "y + 10", "y + 54"], ["y", 20, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"y": 20}, "is_reverse": true}}
| 24,538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = c + 4; n = h + 18; l = t + 18; r = d + 8; c = p + 9; s = n + 4; b = s + 12; p = y + 18; d = i + 1; y = 20; k = r + 6; t = k + 11; i = y + 10. Given that y = 20, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 11 to l, which gives l = k + 29.\n2. Substitute k = r + 6 to l, which gives l = r + 35.\n3. Substitute r = d + 8 to l, which gives l = d + 43.\n4. Substitute d = i + 1 to l, which gives l = i + 44.\n5. Substitute i = y + 10 to l, which gives l = y + 54.\n6. Substitute y = 20 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 24538,
"question": "Suppose a collection of variables is related by the following definitions: h = c + 4; n = h + 18; l = t + 18; r = d + 8; c = p + 9; s = n + 4; b = s + 12; p = y + 18; d = i + 1; y = 20; k = r + 6; t = k + 11; i = y + 10. Given that y = 20, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 9", "z": "m + 17", "i": "z + 20", "v": "i + 13", "f": "v + 19", "h": "f + 11", "j": "o + 16", "t": "j + 15", "n": "t + 11", "y": "n + 16", "d": "y + 1", "b": "d + 3", "o": 11}, "premises": {"o": 11}, "target": "h"}, "answer": {"steps": [["f", "v + 19", "v + 30"], ["v", "i + 13", "i + 43"], ["i", "z + 20", "z + 63"], ["z", "m + 17", "m + 80"], ["m", "o + 9", "o + 89"], ["o", 11, "100"]], "target_var_name": "h", "target_value": 100, "value_dict": {"o": 11}, "is_reverse": true}}
| 24,539
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = o + 16; o = 11; t = j + 15; v = i + 13; h = f + 11; d = y + 1; n = t + 11; m = o + 9; i = z + 20; b = d + 3; z = m + 17; f = v + 19; y = n + 16. If o = 11, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 19 to h, which gives h = v + 30.\n2. Substitute v = i + 13 to h, which gives h = i + 43.\n3. Substitute i = z + 20 to h, which gives h = z + 63.\n4. Substitute z = m + 17 to h, which gives h = m + 80.\n5. Substitute m = o + 9 to h, which gives h = o + 89.\n6. Substitute o = 11 to h, which gives h = 100.\n\nThus, the final answer is h = \\boxed{100}.",
"index": 24539,
"question": "Consider a system of variables where each variable is defined as follows: j = o + 16; o = 11; t = j + 15; v = i + 13; h = f + 11; d = y + 1; n = t + 11; m = o + 9; i = z + 20; b = d + 3; z = m + 17; f = v + 19; y = n + 16. If o = 11, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"m": "d + 7", "w": "m + 20", "t": "w + 16", "u": "t + 13", "e": "u + 19", "c": "e + 19", "a": "d + 12", "f": "a + 5", "y": "f + 20", "q": "y + 18", "g": "q + 6", "l": "g + 12", "d": 13}, "premises": {"d": 13}, "target": "c"}, "answer": {"steps": [["e", "u + 19", "u + 38"], ["u", "t + 13", "t + 51"], ["t", "w + 16", "w + 67"], ["w", "m + 20", "m + 87"], ["m", "d + 7", "d + 94"], ["d", 13, "107"]], "target_var_name": "c", "target_value": 107, "value_dict": {"d": 13}, "is_reverse": true}}
| 24,540
| 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 = w + 16; q = y + 18; g = q + 6; u = t + 13; d = 13; f = a + 5; e = u + 19; w = m + 20; m = d + 7; l = g + 12; a = d + 12; c = e + 19; y = f + 20. If d = 13, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 19 to c, which gives c = u + 38.\n2. Substitute u = t + 13 to c, which gives c = t + 51.\n3. Substitute t = w + 16 to c, which gives c = w + 67.\n4. Substitute w = m + 20 to c, which gives c = m + 87.\n5. Substitute m = d + 7 to c, which gives c = d + 94.\n6. Substitute d = 13 to c, which gives c = 107.\n\nThus, the final answer is c = \\boxed{107}.",
"index": 24540,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 16; q = y + 18; g = q + 6; u = t + 13; d = 13; f = a + 5; e = u + 19; w = m + 20; m = d + 7; l = g + 12; a = d + 12; c = e + 19; y = f + 20. If d = 13, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 14", "g": "l + 8", "w": "g + 19", "q": "w + 11", "e": "q + 19", "t": "e + 5", "z": "c + 12", "s": "z + 13", "a": "s + 4", "m": "a + 9", "u": "m + 15", "k": "u + 19", "c": 10}, "premises": {"c": 10}, "target": "t"}, "answer": {"steps": [["e", "q + 19", "q + 24"], ["q", "w + 11", "w + 35"], ["w", "g + 19", "g + 54"], ["g", "l + 8", "l + 62"], ["l", "c + 14", "c + 76"], ["c", 10, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"c": 10}, "is_reverse": true}}
| 24,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = 10; u = m + 15; l = c + 14; m = a + 9; q = w + 11; w = g + 19; z = c + 12; e = q + 19; t = e + 5; g = l + 8; a = s + 4; s = z + 13; k = u + 19. If c = 10, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 19 to t, which gives t = q + 24.\n2. Substitute q = w + 11 to t, which gives t = w + 35.\n3. Substitute w = g + 19 to t, which gives t = g + 54.\n4. Substitute g = l + 8 to t, which gives t = l + 62.\n5. Substitute l = c + 14 to t, which gives t = c + 76.\n6. Substitute c = 10 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 24541,
"question": "Consider a system of variables where each variable is defined as follows: c = 10; u = m + 15; l = c + 14; m = a + 9; q = w + 11; w = g + 19; z = c + 12; e = q + 19; t = e + 5; g = l + 8; a = s + 4; s = z + 13; k = u + 19. If c = 10, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 6", "q": "v + 10", "r": "q + 5", "k": "r + 14", "o": "k + 9", "g": "o + 16", "s": "d + 20", "u": "s + 8", "y": "u + 13", "b": "y + 7", "x": "b + 19", "m": "x + 13", "d": 5}, "premises": {"d": 5}, "target": "g"}, "answer": {"steps": [["o", "k + 9", "k + 25"], ["k", "r + 14", "r + 39"], ["r", "q + 5", "q + 44"], ["q", "v + 10", "v + 54"], ["v", "d + 6", "d + 60"], ["d", 5, "65"]], "target_var_name": "g", "target_value": 65, "value_dict": {"d": 5}, "is_reverse": true}}
| 24,542
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = v + 10; v = d + 6; y = u + 13; x = b + 19; k = r + 14; s = d + 20; o = k + 9; d = 5; b = y + 7; m = x + 13; g = o + 16; u = s + 8; r = q + 5. Given that d = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 9 to g, which gives g = k + 25.\n2. Substitute k = r + 14 to g, which gives g = r + 39.\n3. Substitute r = q + 5 to g, which gives g = q + 44.\n4. Substitute q = v + 10 to g, which gives g = v + 54.\n5. Substitute v = d + 6 to g, which gives g = d + 60.\n6. Substitute d = 5 to g, which gives g = 65.\n\nThus, the final answer is g = \\boxed{65}.",
"index": 24542,
"question": "Suppose a collection of variables is related by the following definitions: q = v + 10; v = d + 6; y = u + 13; x = b + 19; k = r + 14; s = d + 20; o = k + 9; d = 5; b = y + 7; m = x + 13; g = o + 16; u = s + 8; r = q + 5. Given that d = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 16", "p": "e + 17", "u": "p + 3", "h": "u + 19", "n": "h + 11", "k": "n + 15", "w": "m + 5", "v": "w + 9", "a": "v + 18", "j": "a + 18", "f": "j + 9", "i": "f + 8", "m": 5}, "premises": {"m": 5}, "target": "k"}, "answer": {"steps": [["n", "h + 11", "h + 26"], ["h", "u + 19", "u + 45"], ["u", "p + 3", "p + 48"], ["p", "e + 17", "e + 65"], ["e", "m + 16", "m + 81"], ["m", 5, "86"]], "target_var_name": "k", "target_value": 86, "value_dict": {"m": 5}, "is_reverse": true}}
| 24,543
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = a + 18; e = m + 16; u = p + 3; n = h + 11; m = 5; a = v + 18; v = w + 9; f = j + 9; k = n + 15; h = u + 19; w = m + 5; p = e + 17; i = f + 8. Given that m = 5, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 11 to k, which gives k = h + 26.\n2. Substitute h = u + 19 to k, which gives k = u + 45.\n3. Substitute u = p + 3 to k, which gives k = p + 48.\n4. Substitute p = e + 17 to k, which gives k = e + 65.\n5. Substitute e = m + 16 to k, which gives k = m + 81.\n6. Substitute m = 5 to k, which gives k = 86.\n\nThus, the final answer is k = \\boxed{86}.",
"index": 24543,
"question": "Suppose a collection of variables is related by the following definitions: j = a + 18; e = m + 16; u = p + 3; n = h + 11; m = 5; a = v + 18; v = w + 9; f = j + 9; k = n + 15; h = u + 19; w = m + 5; p = e + 17; i = f + 8. Given that m = 5, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 11", "k": "l + 7", "s": "k + 14", "z": "s + 13", "a": "z + 9", "g": "a + 17", "x": "i + 3", "v": "x + 16", "d": "v + 19", "b": "d + 6", "j": "b + 7", "w": "j + 19", "i": 1}, "premises": {"i": 1}, "target": "g"}, "answer": {"steps": [["a", "z + 9", "z + 26"], ["z", "s + 13", "s + 39"], ["s", "k + 14", "k + 53"], ["k", "l + 7", "l + 60"], ["l", "i + 11", "i + 71"], ["i", 1, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"i": 1}, "is_reverse": true}}
| 24,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = 1; w = j + 19; x = i + 3; s = k + 14; k = l + 7; j = b + 7; g = a + 17; v = x + 16; b = d + 6; z = s + 13; l = i + 11; d = v + 19; a = z + 9. If i = 1, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 9 to g, which gives g = z + 26.\n2. Substitute z = s + 13 to g, which gives g = s + 39.\n3. Substitute s = k + 14 to g, which gives g = k + 53.\n4. Substitute k = l + 7 to g, which gives g = l + 60.\n5. Substitute l = i + 11 to g, which gives g = i + 71.\n6. Substitute i = 1 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 24544,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 1; w = j + 19; x = i + 3; s = k + 14; k = l + 7; j = b + 7; g = a + 17; v = x + 16; b = d + 6; z = s + 13; l = i + 11; d = v + 19; a = z + 9. If i = 1, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 17", "j": "w + 18", "k": "j + 1", "g": "k + 12", "q": "g + 10", "t": "q + 16", "s": "r + 12", "x": "s + 19", "z": "x + 12", "y": "z + 13", "d": "y + 6", "h": "d + 2", "r": 8}, "premises": {"r": 8}, "target": "t"}, "answer": {"steps": [["q", "g + 10", "g + 26"], ["g", "k + 12", "k + 38"], ["k", "j + 1", "j + 39"], ["j", "w + 18", "w + 57"], ["w", "r + 17", "r + 74"], ["r", 8, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"r": 8}, "is_reverse": true}}
| 24,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = r + 12; j = w + 18; d = y + 6; x = s + 19; q = g + 10; y = z + 13; k = j + 1; r = 8; z = x + 12; w = r + 17; h = d + 2; t = q + 16; g = k + 12. If r = 8, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 10 to t, which gives t = g + 26.\n2. Substitute g = k + 12 to t, which gives t = k + 38.\n3. Substitute k = j + 1 to t, which gives t = j + 39.\n4. Substitute j = w + 18 to t, which gives t = w + 57.\n5. Substitute w = r + 17 to t, which gives t = r + 74.\n6. Substitute r = 8 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 24545,
"question": "Consider a system of variables where each variable is defined as follows: s = r + 12; j = w + 18; d = y + 6; x = s + 19; q = g + 10; y = z + 13; k = j + 1; r = 8; z = x + 12; w = r + 17; h = d + 2; t = q + 16; g = k + 12. If r = 8, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 8", "a": "t + 6", "v": "a + 5", "j": "v + 7", "w": "j + 6", "h": "w + 1", "g": "z + 4", "f": "g + 8", "r": "f + 3", "i": "r + 18", "p": "i + 14", "q": "p + 4", "z": 4}, "premises": {"z": 4}, "target": "h"}, "answer": {"steps": [["w", "j + 6", "j + 7"], ["j", "v + 7", "v + 14"], ["v", "a + 5", "a + 19"], ["a", "t + 6", "t + 25"], ["t", "z + 8", "z + 33"], ["z", 4, "37"]], "target_var_name": "h", "target_value": 37, "value_dict": {"z": 4}, "is_reverse": true}}
| 24,546
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 4; g = z + 4; z = 4; a = t + 6; j = v + 7; f = g + 8; t = z + 8; p = i + 14; h = w + 1; r = f + 3; i = r + 18; v = a + 5; w = j + 6. If z = 4, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 37,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 6 to h, which gives h = j + 7.\n2. Substitute j = v + 7 to h, which gives h = v + 14.\n3. Substitute v = a + 5 to h, which gives h = a + 19.\n4. Substitute a = t + 6 to h, which gives h = t + 25.\n5. Substitute t = z + 8 to h, which gives h = z + 33.\n6. Substitute z = 4 to h, which gives h = 37.\n\nThus, the final answer is h = \\boxed{37}.",
"index": 24546,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 4; g = z + 4; z = 4; a = t + 6; j = v + 7; f = g + 8; t = z + 8; p = i + 14; h = w + 1; r = f + 3; i = r + 18; v = a + 5; w = j + 6. If z = 4, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 19", "j": "k + 18", "v": "j + 20", "h": "v + 7", "x": "h + 1", "u": "x + 4", "a": "g + 5", "m": "a + 11", "b": "m + 16", "d": "b + 18", "l": "d + 14", "r": "l + 8", "g": 10}, "premises": {"g": 10}, "target": "u"}, "answer": {"steps": [["x", "h + 1", "h + 5"], ["h", "v + 7", "v + 12"], ["v", "j + 20", "j + 32"], ["j", "k + 18", "k + 50"], ["k", "g + 19", "g + 69"], ["g", 10, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"g": 10}, "is_reverse": true}}
| 24,547
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 14; x = h + 1; j = k + 18; m = a + 11; g = 10; b = m + 16; a = g + 5; r = l + 8; h = v + 7; k = g + 19; u = x + 4; v = j + 20; d = b + 18. If g = 10, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 1 to u, which gives u = h + 5.\n2. Substitute h = v + 7 to u, which gives u = v + 12.\n3. Substitute v = j + 20 to u, which gives u = j + 32.\n4. Substitute j = k + 18 to u, which gives u = k + 50.\n5. Substitute k = g + 19 to u, which gives u = g + 69.\n6. Substitute g = 10 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 24547,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 14; x = h + 1; j = k + 18; m = a + 11; g = 10; b = m + 16; a = g + 5; r = l + 8; h = v + 7; k = g + 19; u = x + 4; v = j + 20; d = b + 18. If g = 10, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 12", "f": "s + 19", "w": "f + 8", "c": "w + 3", "k": "c + 13", "u": "k + 4", "z": "p + 13", "o": "z + 16", "a": "o + 15", "i": "a + 13", "n": "i + 8", "d": "n + 1", "p": 7}, "premises": {"p": 7}, "target": "u"}, "answer": {"steps": [["k", "c + 13", "c + 17"], ["c", "w + 3", "w + 20"], ["w", "f + 8", "f + 28"], ["f", "s + 19", "s + 47"], ["s", "p + 12", "p + 59"], ["p", 7, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"p": 7}, "is_reverse": true}}
| 24,548
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = o + 15; d = n + 1; z = p + 13; i = a + 13; w = f + 8; k = c + 13; o = z + 16; s = p + 12; c = w + 3; f = s + 19; p = 7; u = k + 4; n = i + 8. If p = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 13 to u, which gives u = c + 17.\n2. Substitute c = w + 3 to u, which gives u = w + 20.\n3. Substitute w = f + 8 to u, which gives u = f + 28.\n4. Substitute f = s + 19 to u, which gives u = s + 47.\n5. Substitute s = p + 12 to u, which gives u = p + 59.\n6. Substitute p = 7 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 24548,
"question": "Consider a system of variables where each variable is defined as follows: a = o + 15; d = n + 1; z = p + 13; i = a + 13; w = f + 8; k = c + 13; o = z + 16; s = p + 12; c = w + 3; f = s + 19; p = 7; u = k + 4; n = i + 8. If p = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 16", "k": "e + 6", "x": "k + 6", "a": "x + 5", "l": "a + 18", "h": "l + 19", "c": "p + 6", "b": "c + 5", "v": "b + 6", "u": "v + 19", "w": "u + 17", "n": "w + 7", "p": 14}, "premises": {"p": 14}, "target": "h"}, "answer": {"steps": [["l", "a + 18", "a + 37"], ["a", "x + 5", "x + 42"], ["x", "k + 6", "k + 48"], ["k", "e + 6", "e + 54"], ["e", "p + 16", "p + 70"], ["p", 14, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"p": 14}, "is_reverse": true}}
| 24,549
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = x + 5; h = l + 19; v = b + 6; b = c + 5; p = 14; w = u + 17; u = v + 19; k = e + 6; c = p + 6; n = w + 7; l = a + 18; e = p + 16; x = k + 6. Given that p = 14, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 18 to h, which gives h = a + 37.\n2. Substitute a = x + 5 to h, which gives h = x + 42.\n3. Substitute x = k + 6 to h, which gives h = k + 48.\n4. Substitute k = e + 6 to h, which gives h = e + 54.\n5. Substitute e = p + 16 to h, which gives h = p + 70.\n6. Substitute p = 14 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 24549,
"question": "Suppose a collection of variables is related by the following definitions: a = x + 5; h = l + 19; v = b + 6; b = c + 5; p = 14; w = u + 17; u = v + 19; k = e + 6; c = p + 6; n = w + 7; l = a + 18; e = p + 16; x = k + 6. Given that p = 14, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 16", "v": "e + 4", "x": "v + 20", "p": "x + 18", "t": "p + 19", "j": "t + 16", "k": "h + 18", "r": "k + 3", "n": "r + 16", "i": "n + 12", "z": "i + 7", "o": "z + 13", "h": 14}, "premises": {"h": 14}, "target": "j"}, "answer": {"steps": [["t", "p + 19", "p + 35"], ["p", "x + 18", "x + 53"], ["x", "v + 20", "v + 73"], ["v", "e + 4", "e + 77"], ["e", "h + 16", "h + 93"], ["h", 14, "107"]], "target_var_name": "j", "target_value": 107, "value_dict": {"h": 14}, "is_reverse": true}}
| 24,550
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 16; p = x + 18; h = 14; n = r + 16; z = i + 7; i = n + 12; o = z + 13; k = h + 18; t = p + 19; x = v + 20; v = e + 4; e = h + 16; r = k + 3. Given that h = 14, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 19 to j, which gives j = p + 35.\n2. Substitute p = x + 18 to j, which gives j = x + 53.\n3. Substitute x = v + 20 to j, which gives j = v + 73.\n4. Substitute v = e + 4 to j, which gives j = e + 77.\n5. Substitute e = h + 16 to j, which gives j = h + 93.\n6. Substitute h = 14 to j, which gives j = 107.\n\nThus, the final answer is j = \\boxed{107}.",
"index": 24550,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 16; p = x + 18; h = 14; n = r + 16; z = i + 7; i = n + 12; o = z + 13; k = h + 18; t = p + 19; x = v + 20; v = e + 4; e = h + 16; r = k + 3. Given that h = 14, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"s": "h + 19", "m": "s + 4", "t": "m + 16", "c": "t + 10", "p": "c + 7", "r": "p + 2", "x": "h + 6", "k": "x + 4", "w": "k + 5", "f": "w + 19", "y": "f + 19", "j": "y + 11", "h": 20}, "premises": {"h": 20}, "target": "r"}, "answer": {"steps": [["p", "c + 7", "c + 9"], ["c", "t + 10", "t + 19"], ["t", "m + 16", "m + 35"], ["m", "s + 4", "s + 39"], ["s", "h + 19", "h + 58"], ["h", 20, "78"]], "target_var_name": "r", "target_value": 78, "value_dict": {"h": 20}, "is_reverse": true}}
| 24,551
| 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 = t + 10; y = f + 19; x = h + 6; p = c + 7; j = y + 11; w = k + 5; m = s + 4; r = p + 2; s = h + 19; h = 20; f = w + 19; k = x + 4; t = m + 16. If h = 20, what is the resulting 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 p = c + 7 to r, which gives r = c + 9.\n2. Substitute c = t + 10 to r, which gives r = t + 19.\n3. Substitute t = m + 16 to r, which gives r = m + 35.\n4. Substitute m = s + 4 to r, which gives r = s + 39.\n5. Substitute s = h + 19 to r, which gives r = h + 58.\n6. Substitute h = 20 to r, which gives r = 78.\n\nThus, the final answer is r = \\boxed{78}.",
"index": 24551,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = t + 10; y = f + 19; x = h + 6; p = c + 7; j = y + 11; w = k + 5; m = s + 4; r = p + 2; s = h + 19; h = 20; f = w + 19; k = x + 4; t = m + 16. If h = 20, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"t": "r + 1", "f": "t + 9", "g": "f + 8", "y": "g + 8", "p": "y + 14", "w": "p + 13", "j": "r + 8", "s": "j + 9", "a": "s + 8", "v": "a + 5", "b": "v + 1", "i": "b + 7", "r": 13}, "premises": {"r": 13}, "target": "w"}, "answer": {"steps": [["p", "y + 14", "y + 27"], ["y", "g + 8", "g + 35"], ["g", "f + 8", "f + 43"], ["f", "t + 9", "t + 52"], ["t", "r + 1", "r + 53"], ["r", 13, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"r": 13}, "is_reverse": true}}
| 24,552
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 7; t = r + 1; b = v + 1; r = 13; g = f + 8; v = a + 5; w = p + 13; a = s + 8; y = g + 8; s = j + 9; p = y + 14; j = r + 8; f = t + 9. If r = 13, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 14 to w, which gives w = y + 27.\n2. Substitute y = g + 8 to w, which gives w = g + 35.\n3. Substitute g = f + 8 to w, which gives w = f + 43.\n4. Substitute f = t + 9 to w, which gives w = t + 52.\n5. Substitute t = r + 1 to w, which gives w = r + 53.\n6. Substitute r = 13 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 24552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = b + 7; t = r + 1; b = v + 1; r = 13; g = f + 8; v = a + 5; w = p + 13; a = s + 8; y = g + 8; s = j + 9; p = y + 14; j = r + 8; f = t + 9. If r = 13, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 13", "d": "z + 11", "l": "d + 6", "c": "l + 5", "j": "c + 10", "b": "j + 15", "v": "x + 12", "i": "v + 19", "h": "i + 10", "e": "h + 18", "f": "e + 6", "y": "f + 13", "x": 9}, "premises": {"x": 9}, "target": "b"}, "answer": {"steps": [["j", "c + 10", "c + 25"], ["c", "l + 5", "l + 30"], ["l", "d + 6", "d + 36"], ["d", "z + 11", "z + 47"], ["z", "x + 13", "x + 60"], ["x", 9, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"x": 9}, "is_reverse": true}}
| 24,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 5; v = x + 12; y = f + 13; h = i + 10; d = z + 11; x = 9; l = d + 6; b = j + 15; e = h + 18; i = v + 19; z = x + 13; j = c + 10; f = e + 6. If x = 9, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 10 to b, which gives b = c + 25.\n2. Substitute c = l + 5 to b, which gives b = l + 30.\n3. Substitute l = d + 6 to b, which gives b = d + 36.\n4. Substitute d = z + 11 to b, which gives b = z + 47.\n5. Substitute z = x + 13 to b, which gives b = x + 60.\n6. Substitute x = 9 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 24553,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 5; v = x + 12; y = f + 13; h = i + 10; d = z + 11; x = 9; l = d + 6; b = j + 15; e = h + 18; i = v + 19; z = x + 13; j = c + 10; f = e + 6. If x = 9, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 12", "f": "c + 3", "p": "f + 17", "z": "p + 17", "s": "z + 7", "v": "s + 5", "g": "l + 11", "m": "g + 4", "h": "m + 9", "w": "h + 14", "r": "w + 4", "a": "r + 11", "l": 12}, "premises": {"l": 12}, "target": "v"}, "answer": {"steps": [["s", "z + 7", "z + 12"], ["z", "p + 17", "p + 29"], ["p", "f + 17", "f + 46"], ["f", "c + 3", "c + 49"], ["c", "l + 12", "l + 61"], ["l", 12, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"l": 12}, "is_reverse": true}}
| 24,554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 14; v = s + 5; l = 12; s = z + 7; f = c + 3; r = w + 4; g = l + 11; z = p + 17; p = f + 17; c = l + 12; m = g + 4; a = r + 11; h = m + 9. If l = 12, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 7 to v, which gives v = z + 12.\n2. Substitute z = p + 17 to v, which gives v = p + 29.\n3. Substitute p = f + 17 to v, which gives v = f + 46.\n4. Substitute f = c + 3 to v, which gives v = c + 49.\n5. Substitute c = l + 12 to v, which gives v = l + 61.\n6. Substitute l = 12 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 24554,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 14; v = s + 5; l = 12; s = z + 7; f = c + 3; r = w + 4; g = l + 11; z = p + 17; p = f + 17; c = l + 12; m = g + 4; a = r + 11; h = m + 9. If l = 12, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 3", "f": "m + 20", "b": "f + 6", "z": "b + 15", "e": "z + 20", "n": "e + 3", "q": "j + 2", "s": "q + 13", "d": "s + 11", "w": "d + 13", "g": "w + 12", "c": "g + 11", "j": 6}, "premises": {"j": 6}, "target": "n"}, "answer": {"steps": [["e", "z + 20", "z + 23"], ["z", "b + 15", "b + 38"], ["b", "f + 6", "f + 44"], ["f", "m + 20", "m + 64"], ["m", "j + 3", "j + 67"], ["j", 6, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"j": 6}, "is_reverse": true}}
| 24,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 2; g = w + 12; b = f + 6; d = s + 11; c = g + 11; n = e + 3; s = q + 13; e = z + 20; z = b + 15; f = m + 20; j = 6; w = d + 13; m = j + 3. Given that j = 6, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 20 to n, which gives n = z + 23.\n2. Substitute z = b + 15 to n, which gives n = b + 38.\n3. Substitute b = f + 6 to n, which gives n = f + 44.\n4. Substitute f = m + 20 to n, which gives n = m + 64.\n5. Substitute m = j + 3 to n, which gives n = j + 67.\n6. Substitute j = 6 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 24555,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 2; g = w + 12; b = f + 6; d = s + 11; c = g + 11; n = e + 3; s = q + 13; e = z + 20; z = b + 15; f = m + 20; j = 6; w = d + 13; m = j + 3. Given that j = 6, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 7", "f": "w + 9", "u": "f + 16", "y": "u + 13", "q": "y + 19", "n": "q + 5", "r": "t + 16", "j": "r + 4", "b": "j + 5", "p": "b + 12", "m": "p + 13", "x": "m + 13", "t": 4}, "premises": {"t": 4}, "target": "n"}, "answer": {"steps": [["q", "y + 19", "y + 24"], ["y", "u + 13", "u + 37"], ["u", "f + 16", "f + 53"], ["f", "w + 9", "w + 62"], ["w", "t + 7", "t + 69"], ["t", 4, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"t": 4}, "is_reverse": true}}
| 24,556
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 19; r = t + 16; j = r + 4; p = b + 12; m = p + 13; w = t + 7; n = q + 5; b = j + 5; y = u + 13; t = 4; x = m + 13; f = w + 9; u = f + 16. If t = 4, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"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 + 24.\n2. Substitute y = u + 13 to n, which gives n = u + 37.\n3. Substitute u = f + 16 to n, which gives n = f + 53.\n4. Substitute f = w + 9 to n, which gives n = w + 62.\n5. Substitute w = t + 7 to n, which gives n = t + 69.\n6. Substitute t = 4 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 24556,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 19; r = t + 16; j = r + 4; p = b + 12; m = p + 13; w = t + 7; n = q + 5; b = j + 5; y = u + 13; t = 4; x = m + 13; f = w + 9; u = f + 16. If t = 4, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"x": "f + 9", "a": "x + 12", "l": "a + 15", "t": "l + 2", "v": "t + 5", "p": "v + 11", "k": "f + 9", "e": "k + 15", "o": "e + 3", "i": "o + 9", "z": "i + 5", "s": "z + 16", "f": 7}, "premises": {"f": 7}, "target": "p"}, "answer": {"steps": [["v", "t + 5", "t + 16"], ["t", "l + 2", "l + 18"], ["l", "a + 15", "a + 33"], ["a", "x + 12", "x + 45"], ["x", "f + 9", "f + 54"], ["f", 7, "61"]], "target_var_name": "p", "target_value": 61, "value_dict": {"f": 7}, "is_reverse": true}}
| 24,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = a + 15; f = 7; i = o + 9; p = v + 11; t = l + 2; k = f + 9; x = f + 9; a = x + 12; z = i + 5; e = k + 15; s = z + 16; v = t + 5; o = e + 3. If f = 7, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 5 to p, which gives p = t + 16.\n2. Substitute t = l + 2 to p, which gives p = l + 18.\n3. Substitute l = a + 15 to p, which gives p = a + 33.\n4. Substitute a = x + 12 to p, which gives p = x + 45.\n5. Substitute x = f + 9 to p, which gives p = f + 54.\n6. Substitute f = 7 to p, which gives p = 61.\n\nThus, the final answer is p = \\boxed{61}.",
"index": 24557,
"question": "Consider a system of variables where each variable is defined as follows: l = a + 15; f = 7; i = o + 9; p = v + 11; t = l + 2; k = f + 9; x = f + 9; a = x + 12; z = i + 5; e = k + 15; s = z + 16; v = t + 5; o = e + 3. If f = 7, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 8", "d": "o + 13", "i": "d + 20", "b": "i + 11", "v": "b + 18", "p": "v + 13", "t": "a + 11", "c": "t + 18", "u": "c + 12", "j": "u + 1", "n": "j + 10", "m": "n + 9", "a": 6}, "premises": {"a": 6}, "target": "p"}, "answer": {"steps": [["v", "b + 18", "b + 31"], ["b", "i + 11", "i + 42"], ["i", "d + 20", "d + 62"], ["d", "o + 13", "o + 75"], ["o", "a + 8", "a + 83"], ["a", 6, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"a": 6}, "is_reverse": true}}
| 24,558
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 18; j = u + 1; d = o + 13; a = 6; m = n + 9; p = v + 13; u = c + 12; o = a + 8; i = d + 20; c = t + 18; b = i + 11; t = a + 11; n = j + 10. Given that a = 6, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 18 to p, which gives p = b + 31.\n2. Substitute b = i + 11 to p, which gives p = i + 42.\n3. Substitute i = d + 20 to p, which gives p = d + 62.\n4. Substitute d = o + 13 to p, which gives p = o + 75.\n5. Substitute o = a + 8 to p, which gives p = a + 83.\n6. Substitute a = 6 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 24558,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 18; j = u + 1; d = o + 13; a = 6; m = n + 9; p = v + 13; u = c + 12; o = a + 8; i = d + 20; c = t + 18; b = i + 11; t = a + 11; n = j + 10. Given that a = 6, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "u + 2", "a": "d + 7", "x": "a + 17", "z": "x + 14", "p": "z + 14", "r": "p + 5", "k": "u + 1", "h": "k + 18", "s": "h + 6", "o": "s + 20", "l": "o + 16", "w": "l + 19", "u": 12}, "premises": {"u": 12}, "target": "r"}, "answer": {"steps": [["p", "z + 14", "z + 19"], ["z", "x + 14", "x + 33"], ["x", "a + 17", "a + 50"], ["a", "d + 7", "d + 57"], ["d", "u + 2", "u + 59"], ["u", 12, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"u": 12}, "is_reverse": true}}
| 24,559
| 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 = k + 18; r = p + 5; x = a + 17; l = o + 16; w = l + 19; p = z + 14; k = u + 1; z = x + 14; u = 12; d = u + 2; a = d + 7; o = s + 20; s = h + 6. If u = 12, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 14 to r, which gives r = z + 19.\n2. Substitute z = x + 14 to r, which gives r = x + 33.\n3. Substitute x = a + 17 to r, which gives r = a + 50.\n4. Substitute a = d + 7 to r, which gives r = d + 57.\n5. Substitute d = u + 2 to r, which gives r = u + 59.\n6. Substitute u = 12 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 24559,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 18; r = p + 5; x = a + 17; l = o + 16; w = l + 19; p = z + 14; k = u + 1; z = x + 14; u = 12; d = u + 2; a = d + 7; o = s + 20; s = h + 6. If u = 12, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 14", "h": "q + 9", "y": "h + 1", "b": "y + 17", "j": "b + 2", "d": "j + 2", "u": "t + 7", "i": "u + 18", "l": "i + 2", "a": "l + 1", "o": "a + 5", "m": "o + 20", "t": 9}, "premises": {"t": 9}, "target": "d"}, "answer": {"steps": [["j", "b + 2", "b + 4"], ["b", "y + 17", "y + 21"], ["y", "h + 1", "h + 22"], ["h", "q + 9", "q + 31"], ["q", "t + 14", "t + 45"], ["t", 9, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"t": 9}, "is_reverse": true}}
| 24,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 2; t = 9; y = h + 1; b = y + 17; q = t + 14; j = b + 2; u = t + 7; l = i + 2; h = q + 9; o = a + 5; m = o + 20; i = u + 18; a = l + 1. If t = 9, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 2 to d, which gives d = b + 4.\n2. Substitute b = y + 17 to d, which gives d = y + 21.\n3. Substitute y = h + 1 to d, which gives d = h + 22.\n4. Substitute h = q + 9 to d, which gives d = q + 31.\n5. Substitute q = t + 14 to d, which gives d = t + 45.\n6. Substitute t = 9 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 24560,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 2; t = 9; y = h + 1; b = y + 17; q = t + 14; j = b + 2; u = t + 7; l = i + 2; h = q + 9; o = a + 5; m = o + 20; i = u + 18; a = l + 1. If t = 9, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 10", "e": "v + 13", "p": "e + 15", "x": "p + 1", "r": "x + 13", "c": "r + 18", "a": "m + 16", "h": "a + 13", "o": "h + 3", "s": "o + 3", "d": "s + 20", "i": "d + 15", "m": 16}, "premises": {"m": 16}, "target": "c"}, "answer": {"steps": [["r", "x + 13", "x + 31"], ["x", "p + 1", "p + 32"], ["p", "e + 15", "e + 47"], ["e", "v + 13", "v + 60"], ["v", "m + 10", "m + 70"], ["m", 16, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"m": 16}, "is_reverse": true}}
| 24,561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 3; v = m + 10; e = v + 13; d = s + 20; i = d + 15; m = 16; r = x + 13; c = r + 18; s = o + 3; p = e + 15; a = m + 16; x = p + 1; h = a + 13. Given that m = 16, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 13 to c, which gives c = x + 31.\n2. Substitute x = p + 1 to c, which gives c = p + 32.\n3. Substitute p = e + 15 to c, which gives c = e + 47.\n4. Substitute e = v + 13 to c, which gives c = v + 60.\n5. Substitute v = m + 10 to c, which gives c = m + 70.\n6. Substitute m = 16 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 24561,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 3; v = m + 10; e = v + 13; d = s + 20; i = d + 15; m = 16; r = x + 13; c = r + 18; s = o + 3; p = e + 15; a = m + 16; x = p + 1; h = a + 13. Given that m = 16, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"q": "z + 11", "y": "q + 6", "w": "y + 6", "b": "w + 3", "f": "b + 7", "g": "f + 9", "a": "z + 15", "k": "a + 2", "l": "k + 6", "e": "l + 20", "t": "e + 20", "h": "t + 19", "z": 7}, "premises": {"z": 7}, "target": "g"}, "answer": {"steps": [["f", "b + 7", "b + 16"], ["b", "w + 3", "w + 19"], ["w", "y + 6", "y + 25"], ["y", "q + 6", "q + 31"], ["q", "z + 11", "z + 42"], ["z", 7, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"z": 7}, "is_reverse": true}}
| 24,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = f + 9; a = z + 15; q = z + 11; e = l + 20; h = t + 19; y = q + 6; w = y + 6; l = k + 6; t = e + 20; f = b + 7; k = a + 2; b = w + 3; z = 7. Given that z = 7, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 7 to g, which gives g = b + 16.\n2. Substitute b = w + 3 to g, which gives g = w + 19.\n3. Substitute w = y + 6 to g, which gives g = y + 25.\n4. Substitute y = q + 6 to g, which gives g = q + 31.\n5. Substitute q = z + 11 to g, which gives g = z + 42.\n6. Substitute z = 7 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 24562,
"question": "Suppose a collection of variables is related by the following definitions: g = f + 9; a = z + 15; q = z + 11; e = l + 20; h = t + 19; y = q + 6; w = y + 6; l = k + 6; t = e + 20; f = b + 7; k = a + 2; b = w + 3; z = 7. Given that z = 7, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 12", "r": "l + 18", "j": "r + 14", "d": "j + 6", "c": "d + 5", "n": "c + 2", "b": "o + 17", "h": "b + 15", "q": "h + 19", "t": "q + 16", "f": "t + 9", "p": "f + 16", "o": 16}, "premises": {"o": 16}, "target": "n"}, "answer": {"steps": [["c", "d + 5", "d + 7"], ["d", "j + 6", "j + 13"], ["j", "r + 14", "r + 27"], ["r", "l + 18", "l + 45"], ["l", "o + 12", "o + 57"], ["o", 16, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"o": 16}, "is_reverse": true}}
| 24,563
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = q + 16; p = f + 16; f = t + 9; h = b + 15; q = h + 19; d = j + 6; b = o + 17; o = 16; l = o + 12; n = c + 2; j = r + 14; c = d + 5; r = l + 18. Given that o = 16, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 5 to n, which gives n = d + 7.\n2. Substitute d = j + 6 to n, which gives n = j + 13.\n3. Substitute j = r + 14 to n, which gives n = r + 27.\n4. Substitute r = l + 18 to n, which gives n = l + 45.\n5. Substitute l = o + 12 to n, which gives n = o + 57.\n6. Substitute o = 16 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 24563,
"question": "Suppose a collection of variables is related by the following definitions: t = q + 16; p = f + 16; f = t + 9; h = b + 15; q = h + 19; d = j + 6; b = o + 17; o = 16; l = o + 12; n = c + 2; j = r + 14; c = d + 5; r = l + 18. Given that o = 16, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 3", "w": "j + 8", "l": "w + 9", "v": "l + 13", "t": "v + 18", "n": "t + 19", "q": "b + 18", "d": "q + 10", "m": "d + 1", "s": "m + 8", "u": "s + 8", "c": "u + 13", "b": 1}, "premises": {"b": 1}, "target": "n"}, "answer": {"steps": [["t", "v + 18", "v + 37"], ["v", "l + 13", "l + 50"], ["l", "w + 9", "w + 59"], ["w", "j + 8", "j + 67"], ["j", "b + 3", "b + 70"], ["b", 1, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"b": 1}, "is_reverse": true}}
| 24,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 9; w = j + 8; q = b + 18; j = b + 3; m = d + 1; s = m + 8; u = s + 8; d = q + 10; n = t + 19; b = 1; v = l + 13; c = u + 13; t = v + 18. Given that b = 1, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 18 to n, which gives n = v + 37.\n2. Substitute v = l + 13 to n, which gives n = l + 50.\n3. Substitute l = w + 9 to n, which gives n = w + 59.\n4. Substitute w = j + 8 to n, which gives n = j + 67.\n5. Substitute j = b + 3 to n, which gives n = b + 70.\n6. Substitute b = 1 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 24564,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 9; w = j + 8; q = b + 18; j = b + 3; m = d + 1; s = m + 8; u = s + 8; d = q + 10; n = t + 19; b = 1; v = l + 13; c = u + 13; t = v + 18. Given that b = 1, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 8", "y": "o + 14", "s": "y + 7", "k": "s + 5", "u": "k + 5", "l": "u + 1", "i": "g + 15", "e": "i + 13", "v": "e + 3", "r": "v + 2", "h": "r + 15", "j": "h + 20", "g": 2}, "premises": {"g": 2}, "target": "l"}, "answer": {"steps": [["u", "k + 5", "k + 6"], ["k", "s + 5", "s + 11"], ["s", "y + 7", "y + 18"], ["y", "o + 14", "o + 32"], ["o", "g + 8", "g + 40"], ["g", 2, "42"]], "target_var_name": "l", "target_value": 42, "value_dict": {"g": 2}, "is_reverse": true}}
| 24,565
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 5; r = v + 2; v = e + 3; j = h + 20; h = r + 15; e = i + 13; u = k + 5; y = o + 14; i = g + 15; l = u + 1; g = 2; o = g + 8; s = y + 7. Given that g = 2, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 42,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 5 to l, which gives l = k + 6.\n2. Substitute k = s + 5 to l, which gives l = s + 11.\n3. Substitute s = y + 7 to l, which gives l = y + 18.\n4. Substitute y = o + 14 to l, which gives l = o + 32.\n5. Substitute o = g + 8 to l, which gives l = g + 40.\n6. Substitute g = 2 to l, which gives l = 42.\n\nThus, the final answer is l = \\boxed{42}.",
"index": 24565,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 5; r = v + 2; v = e + 3; j = h + 20; h = r + 15; e = i + 13; u = k + 5; y = o + 14; i = g + 15; l = u + 1; g = 2; o = g + 8; s = y + 7. Given that g = 2, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 5", "t": "p + 11", "k": "t + 19", "b": "k + 5", "z": "b + 4", "d": "z + 8", "e": "x + 16", "i": "e + 11", "n": "i + 4", "c": "n + 5", "s": "c + 9", "a": "s + 12", "x": 13}, "premises": {"x": 13}, "target": "d"}, "answer": {"steps": [["z", "b + 4", "b + 12"], ["b", "k + 5", "k + 17"], ["k", "t + 19", "t + 36"], ["t", "p + 11", "p + 47"], ["p", "x + 5", "x + 52"], ["x", 13, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"x": 13}, "is_reverse": true}}
| 24,566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = x + 16; d = z + 8; i = e + 11; a = s + 12; b = k + 5; c = n + 5; z = b + 4; n = i + 4; k = t + 19; t = p + 11; x = 13; s = c + 9; p = x + 5. If x = 13, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 4 to d, which gives d = b + 12.\n2. Substitute b = k + 5 to d, which gives d = k + 17.\n3. Substitute k = t + 19 to d, which gives d = t + 36.\n4. Substitute t = p + 11 to d, which gives d = p + 47.\n5. Substitute p = x + 5 to d, which gives d = x + 52.\n6. Substitute x = 13 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 24566,
"question": "Consider a system of variables where each variable is defined as follows: e = x + 16; d = z + 8; i = e + 11; a = s + 12; b = k + 5; c = n + 5; z = b + 4; n = i + 4; k = t + 19; t = p + 11; x = 13; s = c + 9; p = x + 5. If x = 13, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 13", "b": "g + 9", "m": "b + 18", "l": "m + 14", "t": "l + 14", "p": "t + 1", "f": "c + 15", "d": "f + 11", "i": "d + 3", "w": "i + 18", "r": "w + 13", "a": "r + 8", "c": 17}, "premises": {"c": 17}, "target": "p"}, "answer": {"steps": [["t", "l + 14", "l + 15"], ["l", "m + 14", "m + 29"], ["m", "b + 18", "b + 47"], ["b", "g + 9", "g + 56"], ["g", "c + 13", "c + 69"], ["c", 17, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"c": 17}, "is_reverse": true}}
| 24,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = r + 8; l = m + 14; m = b + 18; c = 17; d = f + 11; g = c + 13; t = l + 14; w = i + 18; b = g + 9; r = w + 13; p = t + 1; i = d + 3; f = c + 15. Given that c = 17, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = l + 14 to p, which gives p = l + 15.\n2. Substitute l = m + 14 to p, which gives p = m + 29.\n3. Substitute m = b + 18 to p, which gives p = b + 47.\n4. Substitute b = g + 9 to p, which gives p = g + 56.\n5. Substitute g = c + 13 to p, which gives p = c + 69.\n6. Substitute c = 17 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 24567,
"question": "Suppose a collection of variables is related by the following definitions: a = r + 8; l = m + 14; m = b + 18; c = 17; d = f + 11; g = c + 13; t = l + 14; w = i + 18; b = g + 9; r = w + 13; p = t + 1; i = d + 3; f = c + 15. Given that c = 17, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 2", "m": "f + 14", "g": "m + 18", "o": "g + 19", "d": "o + 9", "t": "d + 4", "r": "k + 5", "h": "r + 13", "n": "h + 12", "a": "n + 9", "s": "a + 11", "l": "s + 10", "k": 16}, "premises": {"k": 16}, "target": "t"}, "answer": {"steps": [["d", "o + 9", "o + 13"], ["o", "g + 19", "g + 32"], ["g", "m + 18", "m + 50"], ["m", "f + 14", "f + 64"], ["f", "k + 2", "k + 66"], ["k", 16, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"k": 16}, "is_reverse": true}}
| 24,568
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 10; n = h + 12; k = 16; r = k + 5; h = r + 13; m = f + 14; a = n + 9; t = d + 4; f = k + 2; d = o + 9; o = g + 19; g = m + 18; s = a + 11. If k = 16, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = o + 9 to t, which gives t = o + 13.\n2. Substitute o = g + 19 to t, which gives t = g + 32.\n3. Substitute g = m + 18 to t, which gives t = m + 50.\n4. Substitute m = f + 14 to t, which gives t = f + 64.\n5. Substitute f = k + 2 to t, which gives t = k + 66.\n6. Substitute k = 16 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 24568,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = s + 10; n = h + 12; k = 16; r = k + 5; h = r + 13; m = f + 14; a = n + 9; t = d + 4; f = k + 2; d = o + 9; o = g + 19; g = m + 18; s = a + 11. If k = 16, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 6", "k": "r + 14", "s": "k + 2", "b": "s + 2", "m": "b + 19", "h": "m + 1", "v": "o + 13", "w": "v + 20", "q": "w + 16", "x": "q + 6", "i": "x + 9", "u": "i + 15", "o": 3}, "premises": {"o": 3}, "target": "h"}, "answer": {"steps": [["m", "b + 19", "b + 20"], ["b", "s + 2", "s + 22"], ["s", "k + 2", "k + 24"], ["k", "r + 14", "r + 38"], ["r", "o + 6", "o + 44"], ["o", 3, "47"]], "target_var_name": "h", "target_value": 47, "value_dict": {"o": 3}, "is_reverse": true}}
| 24,569
| 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 = r + 14; o = 3; i = x + 9; w = v + 20; q = w + 16; x = q + 6; s = k + 2; u = i + 15; h = m + 1; b = s + 2; r = o + 6; m = b + 19; v = o + 13. If o = 3, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 19 to h, which gives h = b + 20.\n2. Substitute b = s + 2 to h, which gives h = s + 22.\n3. Substitute s = k + 2 to h, which gives h = k + 24.\n4. Substitute k = r + 14 to h, which gives h = r + 38.\n5. Substitute r = o + 6 to h, which gives h = o + 44.\n6. Substitute o = 3 to h, which gives h = 47.\n\nThus, the final answer is h = \\boxed{47}.",
"index": 24569,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = r + 14; o = 3; i = x + 9; w = v + 20; q = w + 16; x = q + 6; s = k + 2; u = i + 15; h = m + 1; b = s + 2; r = o + 6; m = b + 19; v = o + 13. If o = 3, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"x": "i + 7", "u": "x + 10", "z": "u + 20", "p": "z + 11", "c": "p + 7", "q": "c + 12", "k": "i + 11", "w": "k + 20", "r": "w + 13", "h": "r + 6", "m": "h + 7", "j": "m + 18", "i": 2}, "premises": {"i": 2}, "target": "q"}, "answer": {"steps": [["c", "p + 7", "p + 19"], ["p", "z + 11", "z + 30"], ["z", "u + 20", "u + 50"], ["u", "x + 10", "x + 60"], ["x", "i + 7", "i + 67"], ["i", 2, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"i": 2}, "is_reverse": true}}
| 24,570
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 18; x = i + 7; h = r + 6; k = i + 11; m = h + 7; u = x + 10; z = u + 20; p = z + 11; r = w + 13; i = 2; q = c + 12; c = p + 7; w = k + 20. If i = 2, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 7 to q, which gives q = p + 19.\n2. Substitute p = z + 11 to q, which gives q = z + 30.\n3. Substitute z = u + 20 to q, which gives q = u + 50.\n4. Substitute u = x + 10 to q, which gives q = x + 60.\n5. Substitute x = i + 7 to q, which gives q = i + 67.\n6. Substitute i = 2 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 24570,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 18; x = i + 7; h = r + 6; k = i + 11; m = h + 7; u = x + 10; z = u + 20; p = z + 11; r = w + 13; i = 2; q = c + 12; c = p + 7; w = k + 20. If i = 2, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 10", "q": "k + 16", "j": "q + 9", "n": "j + 14", "w": "n + 15", "b": "w + 18", "h": "c + 1", "m": "h + 13", "f": "m + 19", "v": "f + 5", "o": "v + 8", "r": "o + 14", "c": 15}, "premises": {"c": 15}, "target": "b"}, "answer": {"steps": [["w", "n + 15", "n + 33"], ["n", "j + 14", "j + 47"], ["j", "q + 9", "q + 56"], ["q", "k + 16", "k + 72"], ["k", "c + 10", "c + 82"], ["c", 15, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"c": 15}, "is_reverse": true}}
| 24,571
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = v + 8; c = 15; w = n + 15; k = c + 10; h = c + 1; n = j + 14; q = k + 16; f = m + 19; v = f + 5; j = q + 9; b = w + 18; r = o + 14; m = h + 13. If c = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = n + 15 to b, which gives b = n + 33.\n2. Substitute n = j + 14 to b, which gives b = j + 47.\n3. Substitute j = q + 9 to b, which gives b = q + 56.\n4. Substitute q = k + 16 to b, which gives b = k + 72.\n5. Substitute k = c + 10 to b, which gives b = c + 82.\n6. Substitute c = 15 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 24571,
"question": "Consider a system of variables where each variable is defined as follows: o = v + 8; c = 15; w = n + 15; k = c + 10; h = c + 1; n = j + 14; q = k + 16; f = m + 19; v = f + 5; j = q + 9; b = w + 18; r = o + 14; m = h + 13. If c = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 14", "k": "b + 16", "m": "k + 6", "f": "m + 18", "v": "f + 11", "y": "v + 1", "x": "a + 4", "l": "x + 12", "s": "l + 10", "g": "s + 10", "e": "g + 8", "z": "e + 10", "a": 13}, "premises": {"a": 13}, "target": "y"}, "answer": {"steps": [["v", "f + 11", "f + 12"], ["f", "m + 18", "m + 30"], ["m", "k + 6", "k + 36"], ["k", "b + 16", "b + 52"], ["b", "a + 14", "a + 66"], ["a", 13, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"a": 13}, "is_reverse": true}}
| 24,572
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 10; g = s + 10; x = a + 4; m = k + 6; a = 13; f = m + 18; b = a + 14; l = x + 12; k = b + 16; s = l + 10; e = g + 8; y = v + 1; v = f + 11. Given that a = 13, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 11 to y, which gives y = f + 12.\n2. Substitute f = m + 18 to y, which gives y = m + 30.\n3. Substitute m = k + 6 to y, which gives y = k + 36.\n4. Substitute k = b + 16 to y, which gives y = b + 52.\n5. Substitute b = a + 14 to y, which gives y = a + 66.\n6. Substitute a = 13 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 24572,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 10; g = s + 10; x = a + 4; m = k + 6; a = 13; f = m + 18; b = a + 14; l = x + 12; k = b + 16; s = l + 10; e = g + 8; y = v + 1; v = f + 11. Given that a = 13, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "j + 11", "r": "a + 6", "l": "r + 12", "k": "l + 1", "t": "k + 12", "g": "t + 3", "f": "j + 3", "w": "f + 11", "u": "w + 12", "x": "u + 15", "e": "x + 15", "q": "e + 10", "j": 4}, "premises": {"j": 4}, "target": "g"}, "answer": {"steps": [["t", "k + 12", "k + 15"], ["k", "l + 1", "l + 16"], ["l", "r + 12", "r + 28"], ["r", "a + 6", "a + 34"], ["a", "j + 11", "j + 45"], ["j", 4, "49"]], "target_var_name": "g", "target_value": 49, "value_dict": {"j": 4}, "is_reverse": true}}
| 24,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = t + 3; k = l + 1; w = f + 11; j = 4; u = w + 12; q = e + 10; x = u + 15; t = k + 12; f = j + 3; e = x + 15; l = r + 12; r = a + 6; a = j + 11. If j = 4, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 12 to g, which gives g = k + 15.\n2. Substitute k = l + 1 to g, which gives g = l + 16.\n3. Substitute l = r + 12 to g, which gives g = r + 28.\n4. Substitute r = a + 6 to g, which gives g = a + 34.\n5. Substitute a = j + 11 to g, which gives g = j + 45.\n6. Substitute j = 4 to g, which gives g = 49.\n\nThus, the final answer is g = \\boxed{49}.",
"index": 24573,
"question": "Consider a system of variables where each variable is defined as follows: g = t + 3; k = l + 1; w = f + 11; j = 4; u = w + 12; q = e + 10; x = u + 15; t = k + 12; f = j + 3; e = x + 15; l = r + 12; r = a + 6; a = j + 11. If j = 4, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 13", "b": "a + 10", "r": "b + 11", "w": "r + 15", "f": "w + 1", "t": "f + 3", "v": "z + 7", "n": "v + 15", "j": "n + 19", "k": "j + 19", "u": "k + 19", "p": "u + 13", "z": 18}, "premises": {"z": 18}, "target": "t"}, "answer": {"steps": [["f", "w + 1", "w + 4"], ["w", "r + 15", "r + 19"], ["r", "b + 11", "b + 30"], ["b", "a + 10", "a + 40"], ["a", "z + 13", "z + 53"], ["z", 18, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"z": 18}, "is_reverse": true}}
| 24,574
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 3; v = z + 7; k = j + 19; p = u + 13; a = z + 13; u = k + 19; w = r + 15; r = b + 11; j = n + 19; b = a + 10; f = w + 1; n = v + 15; z = 18. Given that z = 18, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 1 to t, which gives t = w + 4.\n2. Substitute w = r + 15 to t, which gives t = r + 19.\n3. Substitute r = b + 11 to t, which gives t = b + 30.\n4. Substitute b = a + 10 to t, which gives t = a + 40.\n5. Substitute a = z + 13 to t, which gives t = z + 53.\n6. Substitute z = 18 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 24574,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 3; v = z + 7; k = j + 19; p = u + 13; a = z + 13; u = k + 19; w = r + 15; r = b + 11; j = n + 19; b = a + 10; f = w + 1; n = v + 15; z = 18. Given that z = 18, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "v + 18", "p": "o + 11", "z": "p + 13", "s": "z + 18", "w": "s + 16", "b": "w + 3", "d": "v + 1", "q": "d + 19", "g": "q + 15", "l": "g + 6", "e": "l + 9", "u": "e + 19", "v": 6}, "premises": {"v": 6}, "target": "b"}, "answer": {"steps": [["w", "s + 16", "s + 19"], ["s", "z + 18", "z + 37"], ["z", "p + 13", "p + 50"], ["p", "o + 11", "o + 61"], ["o", "v + 18", "v + 79"], ["v", 6, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"v": 6}, "is_reverse": true}}
| 24,575
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = d + 19; g = q + 15; z = p + 13; e = l + 9; o = v + 18; b = w + 3; l = g + 6; d = v + 1; s = z + 18; w = s + 16; p = o + 11; u = e + 19; v = 6. Given that v = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 16 to b, which gives b = s + 19.\n2. Substitute s = z + 18 to b, which gives b = z + 37.\n3. Substitute z = p + 13 to b, which gives b = p + 50.\n4. Substitute p = o + 11 to b, which gives b = o + 61.\n5. Substitute o = v + 18 to b, which gives b = v + 79.\n6. Substitute v = 6 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 24575,
"question": "Suppose a collection of variables is related by the following definitions: q = d + 19; g = q + 15; z = p + 13; e = l + 9; o = v + 18; b = w + 3; l = g + 6; d = v + 1; s = z + 18; w = s + 16; p = o + 11; u = e + 19; v = 6. Given that v = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"i": "m + 12", "s": "i + 20", "u": "s + 19", "e": "u + 10", "t": "e + 18", "c": "t + 9", "w": "m + 9", "k": "w + 9", "r": "k + 18", "p": "r + 13", "v": "p + 18", "x": "v + 12", "m": 7}, "premises": {"m": 7}, "target": "c"}, "answer": {"steps": [["t", "e + 18", "e + 27"], ["e", "u + 10", "u + 37"], ["u", "s + 19", "s + 56"], ["s", "i + 20", "i + 76"], ["i", "m + 12", "m + 88"], ["m", 7, "95"]], "target_var_name": "c", "target_value": 95, "value_dict": {"m": 7}, "is_reverse": true}}
| 24,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = s + 19; i = m + 12; m = 7; v = p + 18; e = u + 10; p = r + 13; c = t + 9; k = w + 9; w = m + 9; s = i + 20; x = v + 12; r = k + 18; t = e + 18. If m = 7, determine 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 t = e + 18 to c, which gives c = e + 27.\n2. Substitute e = u + 10 to c, which gives c = u + 37.\n3. Substitute u = s + 19 to c, which gives c = s + 56.\n4. Substitute s = i + 20 to c, which gives c = i + 76.\n5. Substitute i = m + 12 to c, which gives c = m + 88.\n6. Substitute m = 7 to c, which gives c = 95.\n\nThus, the final answer is c = \\boxed{95}.",
"index": 24576,
"question": "Consider a system of variables where each variable is defined as follows: u = s + 19; i = m + 12; m = 7; v = p + 18; e = u + 10; p = r + 13; c = t + 9; k = w + 9; w = m + 9; s = i + 20; x = v + 12; r = k + 18; t = e + 18. If m = 7, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"w": "v + 10", "z": "w + 7", "f": "z + 13", "k": "f + 11", "m": "k + 2", "x": "m + 12", "h": "v + 10", "g": "h + 13", "c": "g + 5", "l": "c + 6", "j": "l + 10", "t": "j + 10", "v": 8}, "premises": {"v": 8}, "target": "x"}, "answer": {"steps": [["m", "k + 2", "k + 14"], ["k", "f + 11", "f + 25"], ["f", "z + 13", "z + 38"], ["z", "w + 7", "w + 45"], ["w", "v + 10", "v + 55"], ["v", 8, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"v": 8}, "is_reverse": true}}
| 24,577
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = j + 10; g = h + 13; j = l + 10; x = m + 12; z = w + 7; w = v + 10; c = g + 5; k = f + 11; f = z + 13; l = c + 6; h = v + 10; v = 8; m = k + 2. If v = 8, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 2 to x, which gives x = k + 14.\n2. Substitute k = f + 11 to x, which gives x = f + 25.\n3. Substitute f = z + 13 to x, which gives x = z + 38.\n4. Substitute z = w + 7 to x, which gives x = w + 45.\n5. Substitute w = v + 10 to x, which gives x = v + 55.\n6. Substitute v = 8 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 24577,
"question": "Consider a system of variables where each variable is defined as follows: t = j + 10; g = h + 13; j = l + 10; x = m + 12; z = w + 7; w = v + 10; c = g + 5; k = f + 11; f = z + 13; l = c + 6; h = v + 10; v = 8; m = k + 2. If v = 8, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 6", "t": "a + 19", "k": "t + 14", "u": "k + 11", "j": "u + 3", "i": "j + 9", "q": "f + 19", "w": "q + 9", "b": "w + 3", "z": "b + 15", "r": "z + 19", "y": "r + 16", "f": 7}, "premises": {"f": 7}, "target": "i"}, "answer": {"steps": [["j", "u + 3", "u + 12"], ["u", "k + 11", "k + 23"], ["k", "t + 14", "t + 37"], ["t", "a + 19", "a + 56"], ["a", "f + 6", "f + 62"], ["f", 7, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"f": 7}, "is_reverse": true}}
| 24,578
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 15; r = z + 19; w = q + 9; i = j + 9; a = f + 6; y = r + 16; f = 7; q = f + 19; j = u + 3; t = a + 19; u = k + 11; k = t + 14; b = w + 3. Given that f = 7, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 3 to i, which gives i = u + 12.\n2. Substitute u = k + 11 to i, which gives i = k + 23.\n3. Substitute k = t + 14 to i, which gives i = t + 37.\n4. Substitute t = a + 19 to i, which gives i = a + 56.\n5. Substitute a = f + 6 to i, which gives i = f + 62.\n6. Substitute f = 7 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 24578,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 15; r = z + 19; w = q + 9; i = j + 9; a = f + 6; y = r + 16; f = 7; q = f + 19; j = u + 3; t = a + 19; u = k + 11; k = t + 14; b = w + 3. Given that f = 7, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 1", "x": "q + 20", "r": "x + 1", "z": "r + 7", "h": "z + 19", "f": "h + 7", "b": "t + 11", "p": "b + 3", "w": "p + 14", "y": "w + 19", "u": "y + 12", "s": "u + 11", "t": 2}, "premises": {"t": 2}, "target": "f"}, "answer": {"steps": [["h", "z + 19", "z + 26"], ["z", "r + 7", "r + 33"], ["r", "x + 1", "x + 34"], ["x", "q + 20", "q + 54"], ["q", "t + 1", "t + 55"], ["t", 2, "57"]], "target_var_name": "f", "target_value": 57, "value_dict": {"t": 2}, "is_reverse": true}}
| 24,579
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = q + 20; y = w + 19; u = y + 12; t = 2; b = t + 11; s = u + 11; w = p + 14; z = r + 7; q = t + 1; h = z + 19; f = h + 7; r = x + 1; p = b + 3. Given that t = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 19 to f, which gives f = z + 26.\n2. Substitute z = r + 7 to f, which gives f = r + 33.\n3. Substitute r = x + 1 to f, which gives f = x + 34.\n4. Substitute x = q + 20 to f, which gives f = q + 54.\n5. Substitute q = t + 1 to f, which gives f = t + 55.\n6. Substitute t = 2 to f, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 24579,
"question": "Suppose a collection of variables is related by the following definitions: x = q + 20; y = w + 19; u = y + 12; t = 2; b = t + 11; s = u + 11; w = p + 14; z = r + 7; q = t + 1; h = z + 19; f = h + 7; r = x + 1; p = b + 3. Given that t = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "w + 13", "o": "q + 18", "j": "o + 9", "u": "j + 18", "n": "u + 1", "d": "n + 15", "x": "w + 11", "v": "x + 13", "h": "v + 10", "m": "h + 6", "z": "m + 9", "i": "z + 2", "w": 10}, "premises": {"w": 10}, "target": "d"}, "answer": {"steps": [["n", "u + 1", "u + 16"], ["u", "j + 18", "j + 34"], ["j", "o + 9", "o + 43"], ["o", "q + 18", "q + 61"], ["q", "w + 13", "w + 74"], ["w", 10, "84"]], "target_var_name": "d", "target_value": 84, "value_dict": {"w": 10}, "is_reverse": true}}
| 24,580
| 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 = m + 9; i = z + 2; n = u + 1; u = j + 18; q = w + 13; w = 10; d = n + 15; x = w + 11; v = x + 13; m = h + 6; h = v + 10; o = q + 18; j = o + 9. If w = 10, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 1 to d, which gives d = u + 16.\n2. Substitute u = j + 18 to d, which gives d = j + 34.\n3. Substitute j = o + 9 to d, which gives d = o + 43.\n4. Substitute o = q + 18 to d, which gives d = q + 61.\n5. Substitute q = w + 13 to d, which gives d = w + 74.\n6. Substitute w = 10 to d, which gives d = 84.\n\nThus, the final answer is d = \\boxed{84}.",
"index": 24580,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = m + 9; i = z + 2; n = u + 1; u = j + 18; q = w + 13; w = 10; d = n + 15; x = w + 11; v = x + 13; m = h + 6; h = v + 10; o = q + 18; j = o + 9. If w = 10, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"z": "q + 20", "c": "z + 18", "e": "c + 12", "k": "e + 11", "s": "k + 8", "w": "s + 6", "y": "q + 16", "i": "y + 3", "u": "i + 11", "h": "u + 5", "o": "h + 6", "p": "o + 3", "q": 12}, "premises": {"q": 12}, "target": "w"}, "answer": {"steps": [["s", "k + 8", "k + 14"], ["k", "e + 11", "e + 25"], ["e", "c + 12", "c + 37"], ["c", "z + 18", "z + 55"], ["z", "q + 20", "q + 75"], ["q", 12, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"q": 12}, "is_reverse": true}}
| 24,581
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 6; h = u + 5; c = z + 18; i = y + 3; k = e + 11; q = 12; y = q + 16; w = s + 6; s = k + 8; u = i + 11; p = o + 3; e = c + 12; z = q + 20. If q = 12, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 8 to w, which gives w = k + 14.\n2. Substitute k = e + 11 to w, which gives w = e + 25.\n3. Substitute e = c + 12 to w, which gives w = c + 37.\n4. Substitute c = z + 18 to w, which gives w = z + 55.\n5. Substitute z = q + 20 to w, which gives w = q + 75.\n6. Substitute q = 12 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 24581,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 6; h = u + 5; c = z + 18; i = y + 3; k = e + 11; q = 12; y = q + 16; w = s + 6; s = k + 8; u = i + 11; p = o + 3; e = c + 12; z = q + 20. If q = 12, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 19", "h": "t + 9", "w": "h + 7", "b": "w + 10", "k": "b + 2", "x": "k + 12", "y": "z + 19", "s": "y + 17", "n": "s + 14", "g": "n + 19", "j": "g + 13", "a": "j + 11", "z": 12}, "premises": {"z": 12}, "target": "x"}, "answer": {"steps": [["k", "b + 2", "b + 14"], ["b", "w + 10", "w + 24"], ["w", "h + 7", "h + 31"], ["h", "t + 9", "t + 40"], ["t", "z + 19", "z + 59"], ["z", 12, "71"]], "target_var_name": "x", "target_value": 71, "value_dict": {"z": 12}, "is_reverse": true}}
| 24,582
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = n + 19; n = s + 14; z = 12; x = k + 12; y = z + 19; j = g + 13; w = h + 7; a = j + 11; b = w + 10; h = t + 9; k = b + 2; t = z + 19; s = y + 17. Given that z = 12, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 2 to x, which gives x = b + 14.\n2. Substitute b = w + 10 to x, which gives x = w + 24.\n3. Substitute w = h + 7 to x, which gives x = h + 31.\n4. Substitute h = t + 9 to x, which gives x = t + 40.\n5. Substitute t = z + 19 to x, which gives x = z + 59.\n6. Substitute z = 12 to x, which gives x = 71.\n\nThus, the final answer is x = \\boxed{71}.",
"index": 24582,
"question": "Suppose a collection of variables is related by the following definitions: g = n + 19; n = s + 14; z = 12; x = k + 12; y = z + 19; j = g + 13; w = h + 7; a = j + 11; b = w + 10; h = t + 9; k = b + 2; t = z + 19; s = y + 17. Given that z = 12, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "l + 20", "m": "d + 8", "k": "m + 20", "q": "k + 19", "j": "q + 1", "t": "j + 13", "c": "l + 16", "e": "c + 11", "n": "e + 15", "f": "n + 17", "h": "f + 13", "s": "h + 13", "l": 7}, "premises": {"l": 7}, "target": "t"}, "answer": {"steps": [["j", "q + 1", "q + 14"], ["q", "k + 19", "k + 33"], ["k", "m + 20", "m + 53"], ["m", "d + 8", "d + 61"], ["d", "l + 20", "l + 81"], ["l", 7, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"l": 7}, "is_reverse": true}}
| 24,583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = e + 15; e = c + 11; d = l + 20; s = h + 13; j = q + 1; t = j + 13; k = m + 20; c = l + 16; m = d + 8; q = k + 19; f = n + 17; l = 7; h = f + 13. Given that l = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 1 to t, which gives t = q + 14.\n2. Substitute q = k + 19 to t, which gives t = k + 33.\n3. Substitute k = m + 20 to t, which gives t = m + 53.\n4. Substitute m = d + 8 to t, which gives t = d + 61.\n5. Substitute d = l + 20 to t, which gives t = l + 81.\n6. Substitute l = 7 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 24583,
"question": "Suppose a collection of variables is related by the following definitions: n = e + 15; e = c + 11; d = l + 20; s = h + 13; j = q + 1; t = j + 13; k = m + 20; c = l + 16; m = d + 8; q = k + 19; f = n + 17; l = 7; h = f + 13. Given that l = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "h + 6", "b": "m + 12", "x": "b + 15", "u": "x + 13", "c": "u + 2", "y": "c + 13", "w": "h + 3", "z": "w + 12", "s": "z + 12", "a": "s + 18", "e": "a + 10", "t": "e + 20", "h": 2}, "premises": {"h": 2}, "target": "y"}, "answer": {"steps": [["c", "u + 2", "u + 15"], ["u", "x + 13", "x + 28"], ["x", "b + 15", "b + 43"], ["b", "m + 12", "m + 55"], ["m", "h + 6", "h + 61"], ["h", 2, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"h": 2}, "is_reverse": true}}
| 24,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = h + 3; a = s + 18; m = h + 6; s = z + 12; z = w + 12; c = u + 2; b = m + 12; x = b + 15; e = a + 10; h = 2; t = e + 20; y = c + 13; u = x + 13. If h = 2, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 2 to y, which gives y = u + 15.\n2. Substitute u = x + 13 to y, which gives y = x + 28.\n3. Substitute x = b + 15 to y, which gives y = b + 43.\n4. Substitute b = m + 12 to y, which gives y = m + 55.\n5. Substitute m = h + 6 to y, which gives y = h + 61.\n6. Substitute h = 2 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 24584,
"question": "Consider a system of variables where each variable is defined as follows: w = h + 3; a = s + 18; m = h + 6; s = z + 12; z = w + 12; c = u + 2; b = m + 12; x = b + 15; e = a + 10; h = 2; t = e + 20; y = c + 13; u = x + 13. If h = 2, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"m": "a + 8", "j": "m + 1", "h": "j + 17", "z": "h + 13", "i": "z + 5", "c": "i + 5", "y": "a + 14", "x": "y + 5", "l": "x + 6", "w": "l + 9", "o": "w + 16", "u": "o + 3", "a": 2}, "premises": {"a": 2}, "target": "c"}, "answer": {"steps": [["i", "z + 5", "z + 10"], ["z", "h + 13", "h + 23"], ["h", "j + 17", "j + 40"], ["j", "m + 1", "m + 41"], ["m", "a + 8", "a + 49"], ["a", 2, "51"]], "target_var_name": "c", "target_value": 51, "value_dict": {"a": 2}, "is_reverse": true}}
| 24,585
| 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 = j + 17; x = y + 5; l = x + 6; y = a + 14; i = z + 5; w = l + 9; o = w + 16; j = m + 1; u = o + 3; m = a + 8; z = h + 13; a = 2; c = i + 5. If a = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 5 to c, which gives c = z + 10.\n2. Substitute z = h + 13 to c, which gives c = h + 23.\n3. Substitute h = j + 17 to c, which gives c = j + 40.\n4. Substitute j = m + 1 to c, which gives c = m + 41.\n5. Substitute m = a + 8 to c, which gives c = a + 49.\n6. Substitute a = 2 to c, which gives c = 51.\n\nThus, the final answer is c = \\boxed{51}.",
"index": 24585,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = j + 17; x = y + 5; l = x + 6; y = a + 14; i = z + 5; w = l + 9; o = w + 16; j = m + 1; u = o + 3; m = a + 8; z = h + 13; a = 2; c = i + 5. If a = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 10", "v": "x + 9", "h": "v + 17", "b": "h + 11", "j": "b + 10", "z": "j + 11", "c": "e + 15", "u": "c + 1", "o": "u + 2", "w": "o + 19", "t": "w + 10", "s": "t + 19", "e": 6}, "premises": {"e": 6}, "target": "z"}, "answer": {"steps": [["j", "b + 10", "b + 21"], ["b", "h + 11", "h + 32"], ["h", "v + 17", "v + 49"], ["v", "x + 9", "x + 58"], ["x", "e + 10", "e + 68"], ["e", 6, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"e": 6}, "is_reverse": true}}
| 24,586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = u + 2; h = v + 17; c = e + 15; s = t + 19; j = b + 10; e = 6; x = e + 10; b = h + 11; u = c + 1; v = x + 9; t = w + 10; z = j + 11; w = o + 19. If e = 6, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = b + 10 to z, which gives z = b + 21.\n2. Substitute b = h + 11 to z, which gives z = h + 32.\n3. Substitute h = v + 17 to z, which gives z = v + 49.\n4. Substitute v = x + 9 to z, which gives z = x + 58.\n5. Substitute x = e + 10 to z, which gives z = e + 68.\n6. Substitute e = 6 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 24586,
"question": "Consider a system of variables where each variable is defined as follows: o = u + 2; h = v + 17; c = e + 15; s = t + 19; j = b + 10; e = 6; x = e + 10; b = h + 11; u = c + 1; v = x + 9; t = w + 10; z = j + 11; w = o + 19. If e = 6, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"w": "s + 17", "a": "w + 16", "e": "a + 2", "g": "e + 7", "m": "g + 17", "f": "m + 6", "d": "s + 9", "u": "d + 10", "b": "u + 14", "i": "b + 18", "p": "i + 2", "l": "p + 7", "s": 5}, "premises": {"s": 5}, "target": "f"}, "answer": {"steps": [["m", "g + 17", "g + 23"], ["g", "e + 7", "e + 30"], ["e", "a + 2", "a + 32"], ["a", "w + 16", "w + 48"], ["w", "s + 17", "s + 65"], ["s", 5, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"s": 5}, "is_reverse": true}}
| 24,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = e + 7; d = s + 9; l = p + 7; w = s + 17; u = d + 10; i = b + 18; a = w + 16; f = m + 6; b = u + 14; e = a + 2; p = i + 2; s = 5; m = g + 17. If s = 5, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 17 to f, which gives f = g + 23.\n2. Substitute g = e + 7 to f, which gives f = e + 30.\n3. Substitute e = a + 2 to f, which gives f = a + 32.\n4. Substitute a = w + 16 to f, which gives f = w + 48.\n5. Substitute w = s + 17 to f, which gives f = s + 65.\n6. Substitute s = 5 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 24587,
"question": "Consider a system of variables where each variable is defined as follows: g = e + 7; d = s + 9; l = p + 7; w = s + 17; u = d + 10; i = b + 18; a = w + 16; f = m + 6; b = u + 14; e = a + 2; p = i + 2; s = 5; m = g + 17. If s = 5, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 9", "w": "q + 2", "a": "w + 16", "p": "a + 6", "t": "p + 19", "y": "t + 2", "b": "j + 11", "u": "b + 18", "x": "u + 20", "v": "x + 7", "g": "v + 9", "z": "g + 11", "j": 18}, "premises": {"j": 18}, "target": "y"}, "answer": {"steps": [["t", "p + 19", "p + 21"], ["p", "a + 6", "a + 27"], ["a", "w + 16", "w + 43"], ["w", "q + 2", "q + 45"], ["q", "j + 9", "j + 54"], ["j", 18, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"j": 18}, "is_reverse": true}}
| 24,588
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = a + 6; q = j + 9; a = w + 16; z = g + 11; x = u + 20; t = p + 19; u = b + 18; y = t + 2; j = 18; v = x + 7; w = q + 2; g = v + 9; b = j + 11. Given that j = 18, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = p + 19 to y, which gives y = p + 21.\n2. Substitute p = a + 6 to y, which gives y = a + 27.\n3. Substitute a = w + 16 to y, which gives y = w + 43.\n4. Substitute w = q + 2 to y, which gives y = q + 45.\n5. Substitute q = j + 9 to y, which gives y = j + 54.\n6. Substitute j = 18 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 24588,
"question": "Suppose a collection of variables is related by the following definitions: p = a + 6; q = j + 9; a = w + 16; z = g + 11; x = u + 20; t = p + 19; u = b + 18; y = t + 2; j = 18; v = x + 7; w = q + 2; g = v + 9; b = j + 11. Given that j = 18, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 18", "w": "j + 4", "p": "w + 10", "f": "p + 5", "s": "f + 4", "z": "s + 11", "m": "u + 10", "o": "m + 2", "k": "o + 6", "h": "k + 13", "e": "h + 19", "x": "e + 1", "u": 6}, "premises": {"u": 6}, "target": "z"}, "answer": {"steps": [["s", "f + 4", "f + 15"], ["f", "p + 5", "p + 20"], ["p", "w + 10", "w + 30"], ["w", "j + 4", "j + 34"], ["j", "u + 18", "u + 52"], ["u", 6, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"u": 6}, "is_reverse": true}}
| 24,589
| 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 = j + 4; z = s + 11; p = w + 10; u = 6; s = f + 4; m = u + 10; e = h + 19; x = e + 1; k = o + 6; h = k + 13; o = m + 2; j = u + 18; f = p + 5. If u = 6, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 4 to z, which gives z = f + 15.\n2. Substitute f = p + 5 to z, which gives z = p + 20.\n3. Substitute p = w + 10 to z, which gives z = w + 30.\n4. Substitute w = j + 4 to z, which gives z = j + 34.\n5. Substitute j = u + 18 to z, which gives z = u + 52.\n6. Substitute u = 6 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 24589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 4; z = s + 11; p = w + 10; u = 6; s = f + 4; m = u + 10; e = h + 19; x = e + 1; k = o + 6; h = k + 13; o = m + 2; j = u + 18; f = p + 5. If u = 6, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 14", "f": "d + 17", "k": "f + 1", "n": "k + 15", "x": "n + 19", "s": "x + 11", "w": "p + 1", "m": "w + 5", "q": "m + 16", "o": "q + 5", "i": "o + 9", "a": "i + 13", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["x", "n + 19", "n + 30"], ["n", "k + 15", "k + 45"], ["k", "f + 1", "f + 46"], ["f", "d + 17", "d + 63"], ["d", "p + 14", "p + 77"], ["p", 2, "79"]], "target_var_name": "s", "target_value": 79, "value_dict": {"p": 2}, "is_reverse": true}}
| 24,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 13; o = q + 5; i = o + 9; w = p + 1; q = m + 16; k = f + 1; m = w + 5; x = n + 19; n = k + 15; d = p + 14; p = 2; f = d + 17; s = x + 11. If p = 2, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 19 to s, which gives s = n + 30.\n2. Substitute n = k + 15 to s, which gives s = k + 45.\n3. Substitute k = f + 1 to s, which gives s = f + 46.\n4. Substitute f = d + 17 to s, which gives s = d + 63.\n5. Substitute d = p + 14 to s, which gives s = p + 77.\n6. Substitute p = 2 to s, which gives s = 79.\n\nThus, the final answer is s = \\boxed{79}.",
"index": 24590,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 13; o = q + 5; i = o + 9; w = p + 1; q = m + 16; k = f + 1; m = w + 5; x = n + 19; n = k + 15; d = p + 14; p = 2; f = d + 17; s = x + 11. If p = 2, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "d + 18", "h": "v + 13", "k": "h + 8", "m": "k + 13", "g": "m + 8", "x": "g + 12", "q": "d + 11", "a": "q + 11", "i": "a + 7", "c": "i + 14", "u": "c + 1", "j": "u + 14", "d": 18}, "premises": {"d": 18}, "target": "x"}, "answer": {"steps": [["g", "m + 8", "m + 20"], ["m", "k + 13", "k + 33"], ["k", "h + 8", "h + 41"], ["h", "v + 13", "v + 54"], ["v", "d + 18", "d + 72"], ["d", 18, "90"]], "target_var_name": "x", "target_value": 90, "value_dict": {"d": 18}, "is_reverse": true}}
| 24,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = m + 8; d = 18; q = d + 11; a = q + 11; j = u + 14; c = i + 14; h = v + 13; v = d + 18; i = a + 7; x = g + 12; m = k + 13; u = c + 1; k = h + 8. If d = 18, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 8 to x, which gives x = m + 20.\n2. Substitute m = k + 13 to x, which gives x = k + 33.\n3. Substitute k = h + 8 to x, which gives x = h + 41.\n4. Substitute h = v + 13 to x, which gives x = v + 54.\n5. Substitute v = d + 18 to x, which gives x = d + 72.\n6. Substitute d = 18 to x, which gives x = 90.\n\nThus, the final answer is x = \\boxed{90}.",
"index": 24591,
"question": "Consider a system of variables where each variable is defined as follows: g = m + 8; d = 18; q = d + 11; a = q + 11; j = u + 14; c = i + 14; h = v + 13; v = d + 18; i = a + 7; x = g + 12; m = k + 13; u = c + 1; k = h + 8. If d = 18, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 19", "a": "s + 20", "u": "a + 2", "t": "u + 20", "z": "t + 5", "m": "z + 16", "p": "d + 16", "h": "p + 15", "l": "h + 15", "i": "l + 1", "k": "i + 7", "c": "k + 7", "d": 3}, "premises": {"d": 3}, "target": "m"}, "answer": {"steps": [["z", "t + 5", "t + 21"], ["t", "u + 20", "u + 41"], ["u", "a + 2", "a + 43"], ["a", "s + 20", "s + 63"], ["s", "d + 19", "d + 82"], ["d", 3, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"d": 3}, "is_reverse": true}}
| 24,592
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 15; p = d + 16; c = k + 7; l = h + 15; a = s + 20; s = d + 19; i = l + 1; k = i + 7; d = 3; u = a + 2; z = t + 5; m = z + 16; t = u + 20. Given that d = 3, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 5 to m, which gives m = t + 21.\n2. Substitute t = u + 20 to m, which gives m = u + 41.\n3. Substitute u = a + 2 to m, which gives m = a + 43.\n4. Substitute a = s + 20 to m, which gives m = s + 63.\n5. Substitute s = d + 19 to m, which gives m = d + 82.\n6. Substitute d = 3 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 24592,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 15; p = d + 16; c = k + 7; l = h + 15; a = s + 20; s = d + 19; i = l + 1; k = i + 7; d = 3; u = a + 2; z = t + 5; m = z + 16; t = u + 20. Given that d = 3, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 17", "j": "m + 8", "b": "j + 16", "l": "b + 15", "x": "l + 12", "f": "x + 5", "a": "i + 9", "c": "a + 13", "p": "c + 15", "q": "p + 18", "u": "q + 5", "v": "u + 5", "i": 7}, "premises": {"i": 7}, "target": "f"}, "answer": {"steps": [["x", "l + 12", "l + 17"], ["l", "b + 15", "b + 32"], ["b", "j + 16", "j + 48"], ["j", "m + 8", "m + 56"], ["m", "i + 17", "i + 73"], ["i", 7, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"i": 7}, "is_reverse": true}}
| 24,593
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 9; q = p + 18; x = l + 12; u = q + 5; i = 7; p = c + 15; j = m + 8; v = u + 5; f = x + 5; c = a + 13; b = j + 16; l = b + 15; m = i + 17. If i = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 12 to f, which gives f = l + 17.\n2. Substitute l = b + 15 to f, which gives f = b + 32.\n3. Substitute b = j + 16 to f, which gives f = j + 48.\n4. Substitute j = m + 8 to f, which gives f = m + 56.\n5. Substitute m = i + 17 to f, which gives f = i + 73.\n6. Substitute i = 7 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 24593,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 9; q = p + 18; x = l + 12; u = q + 5; i = 7; p = c + 15; j = m + 8; v = u + 5; f = x + 5; c = a + 13; b = j + 16; l = b + 15; m = i + 17. If i = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 9", "s": "r + 6", "t": "s + 17", "i": "t + 15", "l": "i + 13", "v": "l + 3", "a": "p + 15", "x": "a + 15", "w": "x + 15", "h": "w + 13", "u": "h + 5", "g": "u + 19", "p": 20}, "premises": {"p": 20}, "target": "v"}, "answer": {"steps": [["l", "i + 13", "i + 16"], ["i", "t + 15", "t + 31"], ["t", "s + 17", "s + 48"], ["s", "r + 6", "r + 54"], ["r", "p + 9", "p + 63"], ["p", 20, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"p": 20}, "is_reverse": true}}
| 24,594
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = x + 15; l = i + 13; x = a + 15; p = 20; i = t + 15; h = w + 13; a = p + 15; v = l + 3; g = u + 19; t = s + 17; r = p + 9; u = h + 5; s = r + 6. Given that p = 20, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 13 to v, which gives v = i + 16.\n2. Substitute i = t + 15 to v, which gives v = t + 31.\n3. Substitute t = s + 17 to v, which gives v = s + 48.\n4. Substitute s = r + 6 to v, which gives v = r + 54.\n5. Substitute r = p + 9 to v, which gives v = p + 63.\n6. Substitute p = 20 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 24594,
"question": "Suppose a collection of variables is related by the following definitions: w = x + 15; l = i + 13; x = a + 15; p = 20; i = t + 15; h = w + 13; a = p + 15; v = l + 3; g = u + 19; t = s + 17; r = p + 9; u = h + 5; s = r + 6. Given that p = 20, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"p": "h + 7", "z": "p + 2", "m": "z + 19", "u": "m + 16", "a": "u + 2", "g": "a + 17", "t": "h + 5", "w": "t + 8", "e": "w + 6", "l": "e + 15", "q": "l + 16", "n": "q + 14", "h": 10}, "premises": {"h": 10}, "target": "g"}, "answer": {"steps": [["a", "u + 2", "u + 19"], ["u", "m + 16", "m + 35"], ["m", "z + 19", "z + 54"], ["z", "p + 2", "p + 56"], ["p", "h + 7", "h + 63"], ["h", 10, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"h": 10}, "is_reverse": true}}
| 24,595
| 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 = z + 19; w = t + 8; q = l + 16; p = h + 7; n = q + 14; a = u + 2; z = p + 2; l = e + 15; u = m + 16; e = w + 6; t = h + 5; g = a + 17; h = 10. If h = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 2 to g, which gives g = u + 19.\n2. Substitute u = m + 16 to g, which gives g = m + 35.\n3. Substitute m = z + 19 to g, which gives g = z + 54.\n4. Substitute z = p + 2 to g, which gives g = p + 56.\n5. Substitute p = h + 7 to g, which gives g = h + 63.\n6. Substitute h = 10 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 24595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 19; w = t + 8; q = l + 16; p = h + 7; n = q + 14; a = u + 2; z = p + 2; l = e + 15; u = m + 16; e = w + 6; t = h + 5; g = a + 17; h = 10. If h = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "y + 10", "j": "p + 15", "u": "j + 14", "e": "u + 19", "b": "e + 17", "t": "b + 19", "w": "y + 14", "h": "w + 7", "n": "h + 8", "r": "n + 6", "q": "r + 18", "i": "q + 5", "y": 5}, "premises": {"y": 5}, "target": "t"}, "answer": {"steps": [["b", "e + 17", "e + 36"], ["e", "u + 19", "u + 55"], ["u", "j + 14", "j + 69"], ["j", "p + 15", "p + 84"], ["p", "y + 10", "y + 94"], ["y", 5, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"y": 5}, "is_reverse": true}}
| 24,596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 8; w = y + 14; q = r + 18; r = n + 6; e = u + 19; j = p + 15; h = w + 7; y = 5; p = y + 10; t = b + 19; u = j + 14; i = q + 5; b = e + 17. If y = 5, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 17 to t, which gives t = e + 36.\n2. Substitute e = u + 19 to t, which gives t = u + 55.\n3. Substitute u = j + 14 to t, which gives t = j + 69.\n4. Substitute j = p + 15 to t, which gives t = p + 84.\n5. Substitute p = y + 10 to t, which gives t = y + 94.\n6. Substitute y = 5 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 24596,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 8; w = y + 14; q = r + 18; r = n + 6; e = u + 19; j = p + 15; h = w + 7; y = 5; p = y + 10; t = b + 19; u = j + 14; i = q + 5; b = e + 17. If y = 5, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 20", "o": "k + 16", "f": "o + 3", "a": "f + 5", "z": "a + 20", "p": "z + 5", "v": "g + 1", "c": "v + 12", "e": "c + 9", "x": "e + 5", "b": "x + 19", "m": "b + 18", "g": 6}, "premises": {"g": 6}, "target": "p"}, "answer": {"steps": [["z", "a + 20", "a + 25"], ["a", "f + 5", "f + 30"], ["f", "o + 3", "o + 33"], ["o", "k + 16", "k + 49"], ["k", "g + 20", "g + 69"], ["g", 6, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"g": 6}, "is_reverse": true}}
| 24,597
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 18; z = a + 20; x = e + 5; v = g + 1; f = o + 3; p = z + 5; a = f + 5; b = x + 19; c = v + 12; o = k + 16; k = g + 20; g = 6; e = c + 9. If g = 6, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 20 to p, which gives p = a + 25.\n2. Substitute a = f + 5 to p, which gives p = f + 30.\n3. Substitute f = o + 3 to p, which gives p = o + 33.\n4. Substitute o = k + 16 to p, which gives p = k + 49.\n5. Substitute k = g + 20 to p, which gives p = g + 69.\n6. Substitute g = 6 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 24597,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 18; z = a + 20; x = e + 5; v = g + 1; f = o + 3; p = z + 5; a = f + 5; b = x + 19; c = v + 12; o = k + 16; k = g + 20; g = 6; e = c + 9. If g = 6, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "e + 10", "h": "z + 10", "g": "h + 11", "i": "g + 18", "s": "i + 5", "q": "s + 9", "l": "e + 10", "c": "l + 4", "m": "c + 10", "j": "m + 4", "k": "j + 14", "t": "k + 13", "e": 6}, "premises": {"e": 6}, "target": "q"}, "answer": {"steps": [["s", "i + 5", "i + 14"], ["i", "g + 18", "g + 32"], ["g", "h + 11", "h + 43"], ["h", "z + 10", "z + 53"], ["z", "e + 10", "e + 63"], ["e", 6, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"e": 6}, "is_reverse": true}}
| 24,598
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 10; e = 6; k = j + 14; c = l + 4; q = s + 9; l = e + 10; i = g + 18; j = m + 4; g = h + 11; t = k + 13; s = i + 5; m = c + 10; h = z + 10. If e = 6, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 5 to q, which gives q = i + 14.\n2. Substitute i = g + 18 to q, which gives q = g + 32.\n3. Substitute g = h + 11 to q, which gives q = h + 43.\n4. Substitute h = z + 10 to q, which gives q = z + 53.\n5. Substitute z = e + 10 to q, which gives q = e + 63.\n6. Substitute e = 6 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 24598,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 10; e = 6; k = j + 14; c = l + 4; q = s + 9; l = e + 10; i = g + 18; j = m + 4; g = h + 11; t = k + 13; s = i + 5; m = c + 10; h = z + 10. If e = 6, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "v + 12", "a": "e + 4", "k": "a + 1", "n": "k + 11", "h": "n + 13", "i": "h + 9", "j": "v + 2", "m": "j + 10", "f": "m + 17", "t": "f + 19", "s": "t + 5", "l": "s + 9", "v": 9}, "premises": {"v": 9}, "target": "i"}, "answer": {"steps": [["h", "n + 13", "n + 22"], ["n", "k + 11", "k + 33"], ["k", "a + 1", "a + 34"], ["a", "e + 4", "e + 38"], ["e", "v + 12", "v + 50"], ["v", 9, "59"]], "target_var_name": "i", "target_value": 59, "value_dict": {"v": 9}, "is_reverse": true}}
| 24,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = s + 9; v = 9; t = f + 19; i = h + 9; m = j + 10; f = m + 17; s = t + 5; a = e + 4; j = v + 2; k = a + 1; h = n + 13; e = v + 12; n = k + 11. Given that v = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 13 to i, which gives i = n + 22.\n2. Substitute n = k + 11 to i, which gives i = k + 33.\n3. Substitute k = a + 1 to i, which gives i = a + 34.\n4. Substitute a = e + 4 to i, which gives i = e + 38.\n5. Substitute e = v + 12 to i, which gives i = v + 50.\n6. Substitute v = 9 to i, which gives i = 59.\n\nThus, the final answer is i = \\boxed{59}.",
"index": 24599,
"question": "Suppose a collection of variables is related by the following definitions: l = s + 9; v = 9; t = f + 19; i = h + 9; m = j + 10; f = m + 17; s = t + 5; a = e + 4; j = v + 2; k = a + 1; h = n + 13; e = v + 12; n = k + 11. Given that v = 9, find the value of i.",
"split": "train"
}
|
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