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25.6k
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stringclasses 1
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listlengths 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"w": "q + 7", "e": "w + 11", "j": "e + 4", "o": "j + 15", "c": "o + 1", "f": "c + 14", "g": "q + 14", "l": "g + 9", "u": "l + 16", "k": "u + 4", "p": "k + 3", "v": "p + 6", "q": 6}, "premises": {"q": 6}, "target": "f"}, "answer": {"steps": [["c", "o + 1", "o + 15"], ["o", "j + 15", "j + 30"], ["j", "e + 4", "e + 34"], ["e", "w + 11", "w + 45"], ["w", "q + 7", "q + 52"], ["q", 6, "58"]], "target_var_name": "f", "target_value": 58, "value_dict": {"q": 6}, "is_reverse": true}}
| 1,100
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = u + 4; e = w + 11; q = 6; w = q + 7; v = p + 6; o = j + 15; p = k + 3; j = e + 4; u = l + 16; l = g + 9; g = q + 14; c = o + 1; f = c + 14. If q = 6, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 1 to f, which gives f = o + 15.\n2. Substitute o = j + 15 to f, which gives f = j + 30.\n3. Substitute j = e + 4 to f, which gives f = e + 34.\n4. Substitute e = w + 11 to f, which gives f = w + 45.\n5. Substitute w = q + 7 to f, which gives f = q + 52.\n6. Substitute q = 6 to f, which gives f = 58.\n\nThus, the final answer is f = \\boxed{58}.",
"index": 1100,
"question": "Consider a system of variables where each variable is defined as follows: k = u + 4; e = w + 11; q = 6; w = q + 7; v = p + 6; o = j + 15; p = k + 3; j = e + 4; u = l + 16; l = g + 9; g = q + 14; c = o + 1; f = c + 14. If q = 6, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "r + 18", "n": "h + 6", "s": "n + 9", "l": "s + 12", "o": "l + 9", "u": "o + 2", "x": "r + 4", "y": "x + 8", "p": "y + 18", "b": "p + 15", "f": "b + 3", "v": "f + 16", "r": 7}, "premises": {"r": 7}, "target": "u"}, "answer": {"steps": [["o", "l + 9", "l + 11"], ["l", "s + 12", "s + 23"], ["s", "n + 9", "n + 32"], ["n", "h + 6", "h + 38"], ["h", "r + 18", "r + 56"], ["r", 7, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"r": 7}, "is_reverse": true}}
| 1,101
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 15; x = r + 4; h = r + 18; p = y + 18; f = b + 3; l = s + 12; v = f + 16; u = o + 2; r = 7; o = l + 9; n = h + 6; y = x + 8; s = n + 9. If r = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = l + 9 to u, which gives u = l + 11.\n2. Substitute l = s + 12 to u, which gives u = s + 23.\n3. Substitute s = n + 9 to u, which gives u = n + 32.\n4. Substitute n = h + 6 to u, which gives u = h + 38.\n5. Substitute h = r + 18 to u, which gives u = r + 56.\n6. Substitute r = 7 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 1101,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 15; x = r + 4; h = r + 18; p = y + 18; f = b + 3; l = s + 12; v = f + 16; u = o + 2; r = 7; o = l + 9; n = h + 6; y = x + 8; s = n + 9. If r = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 1", "s": "b + 11", "u": "s + 1", "n": "u + 10", "x": "n + 18", "o": "x + 7", "g": "a + 16", "c": "g + 18", "r": "c + 6", "i": "r + 1", "m": "i + 7", "j": "m + 7", "a": 15}, "premises": {"a": 15}, "target": "o"}, "answer": {"steps": [["x", "n + 18", "n + 25"], ["n", "u + 10", "u + 35"], ["u", "s + 1", "s + 36"], ["s", "b + 11", "b + 47"], ["b", "a + 1", "a + 48"], ["a", 15, "63"]], "target_var_name": "o", "target_value": 63, "value_dict": {"a": 15}, "is_reverse": true}}
| 1,102
| 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 = u + 10; m = i + 7; o = x + 7; b = a + 1; u = s + 1; a = 15; j = m + 7; x = n + 18; s = b + 11; i = r + 1; c = g + 18; r = c + 6; g = a + 16. If a = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 18 to o, which gives o = n + 25.\n2. Substitute n = u + 10 to o, which gives o = u + 35.\n3. Substitute u = s + 1 to o, which gives o = s + 36.\n4. Substitute s = b + 11 to o, which gives o = b + 47.\n5. Substitute b = a + 1 to o, which gives o = a + 48.\n6. Substitute a = 15 to o, which gives o = 63.\n\nThus, the final answer is o = \\boxed{63}.",
"index": 1102,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = u + 10; m = i + 7; o = x + 7; b = a + 1; u = s + 1; a = 15; j = m + 7; x = n + 18; s = b + 11; i = r + 1; c = g + 18; r = c + 6; g = a + 16. If a = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"j": "w + 12", "e": "j + 6", "u": "e + 20", "p": "u + 9", "s": "p + 3", "f": "s + 8", "v": "w + 8", "a": "v + 2", "z": "a + 6", "g": "z + 5", "i": "g + 11", "o": "i + 4", "w": 8}, "premises": {"w": 8}, "target": "f"}, "answer": {"steps": [["s", "p + 3", "p + 11"], ["p", "u + 9", "u + 20"], ["u", "e + 20", "e + 40"], ["e", "j + 6", "j + 46"], ["j", "w + 12", "w + 58"], ["w", 8, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"w": 8}, "is_reverse": true}}
| 1,103
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = g + 11; s = p + 3; j = w + 12; u = e + 20; w = 8; p = u + 9; e = j + 6; z = a + 6; v = w + 8; o = i + 4; g = z + 5; f = s + 8; a = v + 2. If w = 8, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 3 to f, which gives f = p + 11.\n2. Substitute p = u + 9 to f, which gives f = u + 20.\n3. Substitute u = e + 20 to f, which gives f = e + 40.\n4. Substitute e = j + 6 to f, which gives f = j + 46.\n5. Substitute j = w + 12 to f, which gives f = w + 58.\n6. Substitute w = 8 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 1103,
"question": "Consider a system of variables where each variable is defined as follows: i = g + 11; s = p + 3; j = w + 12; u = e + 20; w = 8; p = u + 9; e = j + 6; z = a + 6; v = w + 8; o = i + 4; g = z + 5; f = s + 8; a = v + 2. If w = 8, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "j + 14", "t": "r + 10", "n": "t + 4", "a": "n + 20", "d": "a + 4", "z": "d + 7", "m": "j + 14", "x": "m + 2", "k": "x + 3", "u": "k + 1", "c": "u + 20", "g": "c + 5", "j": 6}, "premises": {"j": 6}, "target": "z"}, "answer": {"steps": [["d", "a + 4", "a + 11"], ["a", "n + 20", "n + 31"], ["n", "t + 4", "t + 35"], ["t", "r + 10", "r + 45"], ["r", "j + 14", "j + 59"], ["j", 6, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"j": 6}, "is_reverse": true}}
| 1,104
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 7; a = n + 20; j = 6; m = j + 14; g = c + 5; x = m + 2; n = t + 4; u = k + 1; c = u + 20; k = x + 3; d = a + 4; r = j + 14; t = r + 10. Given that j = 6, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 4 to z, which gives z = a + 11.\n2. Substitute a = n + 20 to z, which gives z = n + 31.\n3. Substitute n = t + 4 to z, which gives z = t + 35.\n4. Substitute t = r + 10 to z, which gives z = r + 45.\n5. Substitute r = j + 14 to z, which gives z = j + 59.\n6. Substitute j = 6 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 1104,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 7; a = n + 20; j = 6; m = j + 14; g = c + 5; x = m + 2; n = t + 4; u = k + 1; c = u + 20; k = x + 3; d = a + 4; r = j + 14; t = r + 10. Given that j = 6, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"u": "o + 13", "k": "u + 5", "x": "k + 13", "i": "x + 10", "z": "i + 17", "f": "z + 12", "l": "o + 11", "r": "l + 15", "j": "r + 8", "e": "j + 10", "m": "e + 3", "b": "m + 17", "o": 4}, "premises": {"o": 4}, "target": "f"}, "answer": {"steps": [["z", "i + 17", "i + 29"], ["i", "x + 10", "x + 39"], ["x", "k + 13", "k + 52"], ["k", "u + 5", "u + 57"], ["u", "o + 13", "o + 70"], ["o", 4, "74"]], "target_var_name": "f", "target_value": 74, "value_dict": {"o": 4}, "is_reverse": true}}
| 1,105
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 13; i = x + 10; r = l + 15; j = r + 8; b = m + 17; f = z + 12; m = e + 3; k = u + 5; e = j + 10; l = o + 11; x = k + 13; z = i + 17; o = 4. If o = 4, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 17 to f, which gives f = i + 29.\n2. Substitute i = x + 10 to f, which gives f = x + 39.\n3. Substitute x = k + 13 to f, which gives f = k + 52.\n4. Substitute k = u + 5 to f, which gives f = u + 57.\n5. Substitute u = o + 13 to f, which gives f = o + 70.\n6. Substitute o = 4 to f, which gives f = 74.\n\nThus, the final answer is f = \\boxed{74}.",
"index": 1105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 13; i = x + 10; r = l + 15; j = r + 8; b = m + 17; f = z + 12; m = e + 3; k = u + 5; e = j + 10; l = o + 11; x = k + 13; z = i + 17; o = 4. If o = 4, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 2", "c": "y + 14", "e": "c + 3", "v": "e + 14", "h": "v + 6", "i": "h + 1", "g": "m + 11", "u": "g + 16", "l": "u + 10", "f": "l + 7", "d": "f + 1", "s": "d + 18", "m": 4}, "premises": {"m": 4}, "target": "i"}, "answer": {"steps": [["h", "v + 6", "v + 7"], ["v", "e + 14", "e + 21"], ["e", "c + 3", "c + 24"], ["c", "y + 14", "y + 38"], ["y", "m + 2", "m + 40"], ["m", 4, "44"]], "target_var_name": "i", "target_value": 44, "value_dict": {"m": 4}, "is_reverse": true}}
| 1,106
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 7; g = m + 11; m = 4; e = c + 3; u = g + 16; y = m + 2; v = e + 14; d = f + 1; s = d + 18; l = u + 10; i = h + 1; h = v + 6; c = y + 14. If m = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 6 to i, which gives i = v + 7.\n2. Substitute v = e + 14 to i, which gives i = e + 21.\n3. Substitute e = c + 3 to i, which gives i = c + 24.\n4. Substitute c = y + 14 to i, which gives i = y + 38.\n5. Substitute y = m + 2 to i, which gives i = m + 40.\n6. Substitute m = 4 to i, which gives i = 44.\n\nThus, the final answer is i = \\boxed{44}.",
"index": 1106,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 7; g = m + 11; m = 4; e = c + 3; u = g + 16; y = m + 2; v = e + 14; d = f + 1; s = d + 18; l = u + 10; i = h + 1; h = v + 6; c = y + 14. If m = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 3", "l": "e + 19", "m": "l + 11", "r": "m + 2", "y": "r + 19", "x": "y + 15", "f": "g + 19", "n": "f + 9", "b": "n + 7", "h": "b + 11", "d": "h + 2", "q": "d + 19", "g": 11}, "premises": {"g": 11}, "target": "x"}, "answer": {"steps": [["y", "r + 19", "r + 34"], ["r", "m + 2", "m + 36"], ["m", "l + 11", "l + 47"], ["l", "e + 19", "e + 66"], ["e", "g + 3", "g + 69"], ["g", 11, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"g": 11}, "is_reverse": true}}
| 1,107
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 15; r = m + 2; l = e + 19; n = f + 9; y = r + 19; m = l + 11; f = g + 19; b = n + 7; g = 11; h = b + 11; d = h + 2; e = g + 3; q = d + 19. If g = 11, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = r + 19 to x, which gives x = r + 34.\n2. Substitute r = m + 2 to x, which gives x = m + 36.\n3. Substitute m = l + 11 to x, which gives x = l + 47.\n4. Substitute l = e + 19 to x, which gives x = e + 66.\n5. Substitute e = g + 3 to x, which gives x = g + 69.\n6. Substitute g = 11 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 1107,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 15; r = m + 2; l = e + 19; n = f + 9; y = r + 19; m = l + 11; f = g + 19; b = n + 7; g = 11; h = b + 11; d = h + 2; e = g + 3; q = d + 19. If g = 11, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"e": "k + 4", "f": "e + 9", "j": "f + 11", "g": "j + 18", "i": "g + 8", "o": "i + 9", "w": "k + 14", "y": "w + 13", "c": "y + 14", "t": "c + 13", "h": "t + 20", "n": "h + 13", "k": 8}, "premises": {"k": 8}, "target": "o"}, "answer": {"steps": [["i", "g + 8", "g + 17"], ["g", "j + 18", "j + 35"], ["j", "f + 11", "f + 46"], ["f", "e + 9", "e + 55"], ["e", "k + 4", "k + 59"], ["k", 8, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"k": 8}, "is_reverse": true}}
| 1,108
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 8; y = w + 13; i = g + 8; w = k + 14; h = t + 20; t = c + 13; f = e + 9; g = j + 18; e = k + 4; n = h + 13; o = i + 9; j = f + 11; c = y + 14. If k = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 8 to o, which gives o = g + 17.\n2. Substitute g = j + 18 to o, which gives o = j + 35.\n3. Substitute j = f + 11 to o, which gives o = f + 46.\n4. Substitute f = e + 9 to o, which gives o = e + 55.\n5. Substitute e = k + 4 to o, which gives o = k + 59.\n6. Substitute k = 8 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 1108,
"question": "Consider a system of variables where each variable is defined as follows: k = 8; y = w + 13; i = g + 8; w = k + 14; h = t + 20; t = c + 13; f = e + 9; g = j + 18; e = k + 4; n = h + 13; o = i + 9; j = f + 11; c = y + 14. If k = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 6", "k": "d + 1", "f": "k + 13", "y": "f + 10", "a": "y + 4", "l": "a + 1", "s": "c + 17", "o": "s + 4", "h": "o + 18", "r": "h + 2", "x": "r + 19", "i": "x + 5", "c": 3}, "premises": {"c": 3}, "target": "l"}, "answer": {"steps": [["a", "y + 4", "y + 5"], ["y", "f + 10", "f + 15"], ["f", "k + 13", "k + 28"], ["k", "d + 1", "d + 29"], ["d", "c + 6", "c + 35"], ["c", 3, "38"]], "target_var_name": "l", "target_value": 38, "value_dict": {"c": 3}, "is_reverse": true}}
| 1,109
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = 3; s = c + 17; r = h + 2; d = c + 6; a = y + 4; i = x + 5; y = f + 10; k = d + 1; f = k + 13; l = a + 1; h = o + 18; o = s + 4; x = r + 19. Given that c = 3, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 4 to l, which gives l = y + 5.\n2. Substitute y = f + 10 to l, which gives l = f + 15.\n3. Substitute f = k + 13 to l, which gives l = k + 28.\n4. Substitute k = d + 1 to l, which gives l = d + 29.\n5. Substitute d = c + 6 to l, which gives l = c + 35.\n6. Substitute c = 3 to l, which gives l = 38.\n\nThus, the final answer is l = \\boxed{38}.",
"index": 1109,
"question": "Suppose a collection of variables is related by the following definitions: c = 3; s = c + 17; r = h + 2; d = c + 6; a = y + 4; i = x + 5; y = f + 10; k = d + 1; f = k + 13; l = a + 1; h = o + 18; o = s + 4; x = r + 19. Given that c = 3, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 11", "v": "o + 2", "b": "v + 20", "z": "b + 16", "e": "z + 12", "n": "e + 13", "c": "a + 16", "h": "c + 15", "f": "h + 1", "s": "f + 13", "g": "s + 3", "k": "g + 17", "a": 8}, "premises": {"a": 8}, "target": "n"}, "answer": {"steps": [["e", "z + 12", "z + 25"], ["z", "b + 16", "b + 41"], ["b", "v + 20", "v + 61"], ["v", "o + 2", "o + 63"], ["o", "a + 11", "a + 74"], ["a", 8, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"a": 8}, "is_reverse": true}}
| 1,110
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 12; h = c + 15; f = h + 1; c = a + 16; v = o + 2; s = f + 13; o = a + 11; a = 8; k = g + 17; g = s + 3; b = v + 20; z = b + 16; n = e + 13. If a = 8, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 12 to n, which gives n = z + 25.\n2. Substitute z = b + 16 to n, which gives n = b + 41.\n3. Substitute b = v + 20 to n, which gives n = v + 61.\n4. Substitute v = o + 2 to n, which gives n = o + 63.\n5. Substitute o = a + 11 to n, which gives n = a + 74.\n6. Substitute a = 8 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 1110,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 12; h = c + 15; f = h + 1; c = a + 16; v = o + 2; s = f + 13; o = a + 11; a = 8; k = g + 17; g = s + 3; b = v + 20; z = b + 16; n = e + 13. If a = 8, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 12", "l": "e + 20", "k": "l + 17", "j": "k + 18", "i": "j + 2", "q": "i + 19", "z": "h + 9", "w": "z + 10", "r": "w + 19", "y": "r + 17", "a": "y + 16", "s": "a + 13", "h": 16}, "premises": {"h": 16}, "target": "q"}, "answer": {"steps": [["i", "j + 2", "j + 21"], ["j", "k + 18", "k + 39"], ["k", "l + 17", "l + 56"], ["l", "e + 20", "e + 76"], ["e", "h + 12", "h + 88"], ["h", 16, "104"]], "target_var_name": "q", "target_value": 104, "value_dict": {"h": 16}, "is_reverse": true}}
| 1,111
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 16; z = h + 9; h = 16; e = h + 12; i = j + 2; s = a + 13; q = i + 19; k = l + 17; l = e + 20; r = w + 19; y = r + 17; j = k + 18; w = z + 10. If h = 16, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 2 to q, which gives q = j + 21.\n2. Substitute j = k + 18 to q, which gives q = k + 39.\n3. Substitute k = l + 17 to q, which gives q = l + 56.\n4. Substitute l = e + 20 to q, which gives q = e + 76.\n5. Substitute e = h + 12 to q, which gives q = h + 88.\n6. Substitute h = 16 to q, which gives q = 104.\n\nThus, the final answer is q = \\boxed{104}.",
"index": 1111,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = y + 16; z = h + 9; h = 16; e = h + 12; i = j + 2; s = a + 13; q = i + 19; k = l + 17; l = e + 20; r = w + 19; y = r + 17; j = k + 18; w = z + 10. If h = 16, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"g": "x + 7", "b": "g + 14", "z": "b + 14", "v": "z + 16", "o": "v + 2", "j": "o + 2", "e": "x + 12", "m": "e + 10", "n": "m + 1", "k": "n + 12", "d": "k + 14", "u": "d + 3", "x": 15}, "premises": {"x": 15}, "target": "j"}, "answer": {"steps": [["o", "v + 2", "v + 4"], ["v", "z + 16", "z + 20"], ["z", "b + 14", "b + 34"], ["b", "g + 14", "g + 48"], ["g", "x + 7", "x + 55"], ["x", 15, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"x": 15}, "is_reverse": true}}
| 1,112
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 16; n = m + 1; d = k + 14; k = n + 12; u = d + 3; g = x + 7; b = g + 14; x = 15; o = v + 2; j = o + 2; m = e + 10; z = b + 14; e = x + 12. Given that x = 15, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 2 to j, which gives j = v + 4.\n2. Substitute v = z + 16 to j, which gives j = z + 20.\n3. Substitute z = b + 14 to j, which gives j = b + 34.\n4. Substitute b = g + 14 to j, which gives j = g + 48.\n5. Substitute g = x + 7 to j, which gives j = x + 55.\n6. Substitute x = 15 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 1112,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 16; n = m + 1; d = k + 14; k = n + 12; u = d + 3; g = x + 7; b = g + 14; x = 15; o = v + 2; j = o + 2; m = e + 10; z = b + 14; e = x + 12. Given that x = 15, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 8", "n": "x + 13", "h": "n + 19", "a": "h + 12", "f": "a + 5", "e": "f + 7", "o": "b + 10", "c": "o + 3", "t": "c + 1", "k": "t + 15", "y": "k + 12", "j": "y + 6", "b": 9}, "premises": {"b": 9}, "target": "e"}, "answer": {"steps": [["f", "a + 5", "a + 12"], ["a", "h + 12", "h + 24"], ["h", "n + 19", "n + 43"], ["n", "x + 13", "x + 56"], ["x", "b + 8", "b + 64"], ["b", 9, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"b": 9}, "is_reverse": true}}
| 1,113
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 13; y = k + 12; e = f + 7; c = o + 3; a = h + 12; b = 9; f = a + 5; o = b + 10; t = c + 1; x = b + 8; h = n + 19; j = y + 6; k = t + 15. If b = 9, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 5 to e, which gives e = a + 12.\n2. Substitute a = h + 12 to e, which gives e = h + 24.\n3. Substitute h = n + 19 to e, which gives e = n + 43.\n4. Substitute n = x + 13 to e, which gives e = x + 56.\n5. Substitute x = b + 8 to e, which gives e = b + 64.\n6. Substitute b = 9 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 1113,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 13; y = k + 12; e = f + 7; c = o + 3; a = h + 12; b = 9; f = a + 5; o = b + 10; t = c + 1; x = b + 8; h = n + 19; j = y + 6; k = t + 15. If b = 9, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"q": "k + 6", "c": "q + 8", "f": "c + 9", "a": "f + 16", "g": "a + 14", "j": "g + 4", "u": "k + 9", "i": "u + 16", "v": "i + 14", "p": "v + 10", "o": "p + 9", "x": "o + 6", "k": 3}, "premises": {"k": 3}, "target": "j"}, "answer": {"steps": [["g", "a + 14", "a + 18"], ["a", "f + 16", "f + 34"], ["f", "c + 9", "c + 43"], ["c", "q + 8", "q + 51"], ["q", "k + 6", "k + 57"], ["k", 3, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"k": 3}, "is_reverse": true}}
| 1,114
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 14; p = v + 10; i = u + 16; u = k + 9; x = o + 6; k = 3; j = g + 4; q = k + 6; g = a + 14; c = q + 8; a = f + 16; o = p + 9; f = c + 9. If k = 3, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 14 to j, which gives j = a + 18.\n2. Substitute a = f + 16 to j, which gives j = f + 34.\n3. Substitute f = c + 9 to j, which gives j = c + 43.\n4. Substitute c = q + 8 to j, which gives j = q + 51.\n5. Substitute q = k + 6 to j, which gives j = k + 57.\n6. Substitute k = 3 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 1114,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 14; p = v + 10; i = u + 16; u = k + 9; x = o + 6; k = 3; j = g + 4; q = k + 6; g = a + 14; c = q + 8; a = f + 16; o = p + 9; f = c + 9. If k = 3, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 4", "v": "s + 17", "o": "v + 1", "n": "o + 7", "u": "n + 15", "l": "u + 9", "m": "f + 18", "c": "m + 14", "y": "c + 14", "x": "y + 17", "p": "x + 12", "z": "p + 5", "f": 8}, "premises": {"f": 8}, "target": "l"}, "answer": {"steps": [["u", "n + 15", "n + 24"], ["n", "o + 7", "o + 31"], ["o", "v + 1", "v + 32"], ["v", "s + 17", "s + 49"], ["s", "f + 4", "f + 53"], ["f", 8, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"f": 8}, "is_reverse": true}}
| 1,115
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 4; z = p + 5; v = s + 17; f = 8; y = c + 14; o = v + 1; c = m + 14; m = f + 18; x = y + 17; p = x + 12; u = n + 15; n = o + 7; l = u + 9. If f = 8, determine 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 u = n + 15 to l, which gives l = n + 24.\n2. Substitute n = o + 7 to l, which gives l = o + 31.\n3. Substitute o = v + 1 to l, which gives l = v + 32.\n4. Substitute v = s + 17 to l, which gives l = s + 49.\n5. Substitute s = f + 4 to l, which gives l = f + 53.\n6. Substitute f = 8 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 1115,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 4; z = p + 5; v = s + 17; f = 8; y = c + 14; o = v + 1; c = m + 14; m = f + 18; x = y + 17; p = x + 12; u = n + 15; n = o + 7; l = u + 9. If f = 8, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "k + 13", "p": "a + 8", "g": "p + 15", "d": "g + 6", "z": "d + 7", "m": "z + 7", "x": "k + 11", "l": "x + 6", "t": "l + 11", "q": "t + 14", "o": "q + 6", "h": "o + 19", "k": 17}, "premises": {"k": 17}, "target": "m"}, "answer": {"steps": [["z", "d + 7", "d + 14"], ["d", "g + 6", "g + 20"], ["g", "p + 15", "p + 35"], ["p", "a + 8", "a + 43"], ["a", "k + 13", "k + 56"], ["k", 17, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"k": 17}, "is_reverse": true}}
| 1,116
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = o + 19; k = 17; m = z + 7; q = t + 14; o = q + 6; d = g + 6; z = d + 7; g = p + 15; x = k + 11; p = a + 8; l = x + 6; a = k + 13; t = l + 11. Given that k = 17, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 7 to m, which gives m = d + 14.\n2. Substitute d = g + 6 to m, which gives m = g + 20.\n3. Substitute g = p + 15 to m, which gives m = p + 35.\n4. Substitute p = a + 8 to m, which gives m = a + 43.\n5. Substitute a = k + 13 to m, which gives m = k + 56.\n6. Substitute k = 17 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 1116,
"question": "Suppose a collection of variables is related by the following definitions: h = o + 19; k = 17; m = z + 7; q = t + 14; o = q + 6; d = g + 6; z = d + 7; g = p + 15; x = k + 11; p = a + 8; l = x + 6; a = k + 13; t = l + 11. Given that k = 17, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 10", "l": "i + 8", "y": "l + 5", "q": "y + 16", "x": "q + 20", "z": "x + 18", "w": "e + 17", "m": "w + 16", "f": "m + 3", "a": "f + 7", "k": "a + 5", "d": "k + 14", "e": 12}, "premises": {"e": 12}, "target": "z"}, "answer": {"steps": [["x", "q + 20", "q + 38"], ["q", "y + 16", "y + 54"], ["y", "l + 5", "l + 59"], ["l", "i + 8", "i + 67"], ["i", "e + 10", "e + 77"], ["e", 12, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"e": 12}, "is_reverse": true}}
| 1,117
| 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 = i + 8; e = 12; f = m + 3; k = a + 5; m = w + 16; y = l + 5; x = q + 20; a = f + 7; q = y + 16; w = e + 17; d = k + 14; z = x + 18; i = e + 10. If e = 12, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = q + 20 to z, which gives z = q + 38.\n2. Substitute q = y + 16 to z, which gives z = y + 54.\n3. Substitute y = l + 5 to z, which gives z = l + 59.\n4. Substitute l = i + 8 to z, which gives z = i + 67.\n5. Substitute i = e + 10 to z, which gives z = e + 77.\n6. Substitute e = 12 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 1117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 8; e = 12; f = m + 3; k = a + 5; m = w + 16; y = l + 5; x = q + 20; a = f + 7; q = y + 16; w = e + 17; d = k + 14; z = x + 18; i = e + 10. If e = 12, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 2", "b": "c + 10", "l": "b + 14", "p": "l + 17", "s": "p + 4", "q": "s + 16", "g": "d + 19", "m": "g + 14", "e": "m + 18", "a": "e + 4", "h": "a + 2", "w": "h + 9", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["s", "p + 4", "p + 20"], ["p", "l + 17", "l + 37"], ["l", "b + 14", "b + 51"], ["b", "c + 10", "c + 61"], ["c", "d + 2", "d + 63"], ["d", 9, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"d": 9}, "is_reverse": true}}
| 1,118
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = a + 2; s = p + 4; q = s + 16; e = m + 18; p = l + 17; d = 9; a = e + 4; b = c + 10; m = g + 14; c = d + 2; l = b + 14; g = d + 19; w = h + 9. Given that d = 9, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 4 to q, which gives q = p + 20.\n2. Substitute p = l + 17 to q, which gives q = l + 37.\n3. Substitute l = b + 14 to q, which gives q = b + 51.\n4. Substitute b = c + 10 to q, which gives q = c + 61.\n5. Substitute c = d + 2 to q, which gives q = d + 63.\n6. Substitute d = 9 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 1118,
"question": "Suppose a collection of variables is related by the following definitions: h = a + 2; s = p + 4; q = s + 16; e = m + 18; p = l + 17; d = 9; a = e + 4; b = c + 10; m = g + 14; c = d + 2; l = b + 14; g = d + 19; w = h + 9. Given that d = 9, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 5", "u": "c + 1", "d": "u + 8", "o": "d + 20", "p": "o + 15", "z": "p + 15", "m": "r + 2", "t": "m + 4", "e": "t + 15", "i": "e + 1", "l": "i + 15", "h": "l + 7", "r": 18}, "premises": {"r": 18}, "target": "z"}, "answer": {"steps": [["p", "o + 15", "o + 30"], ["o", "d + 20", "d + 50"], ["d", "u + 8", "u + 58"], ["u", "c + 1", "c + 59"], ["c", "r + 5", "r + 64"], ["r", 18, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"r": 18}, "is_reverse": true}}
| 1,119
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 15; d = u + 8; i = e + 1; c = r + 5; r = 18; p = o + 15; l = i + 15; o = d + 20; u = c + 1; m = r + 2; t = m + 4; h = l + 7; e = t + 15. Given that r = 18, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 15 to z, which gives z = o + 30.\n2. Substitute o = d + 20 to z, which gives z = d + 50.\n3. Substitute d = u + 8 to z, which gives z = u + 58.\n4. Substitute u = c + 1 to z, which gives z = c + 59.\n5. Substitute c = r + 5 to z, which gives z = r + 64.\n6. Substitute r = 18 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 1119,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 15; d = u + 8; i = e + 1; c = r + 5; r = 18; p = o + 15; l = i + 15; o = d + 20; u = c + 1; m = r + 2; t = m + 4; h = l + 7; e = t + 15. Given that r = 18, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"f": "c + 1", "b": "f + 1", "a": "b + 5", "h": "a + 9", "m": "h + 3", "s": "m + 8", "t": "c + 13", "n": "t + 1", "i": "n + 14", "q": "i + 12", "o": "q + 1", "j": "o + 6", "c": 16}, "premises": {"c": 16}, "target": "s"}, "answer": {"steps": [["m", "h + 3", "h + 11"], ["h", "a + 9", "a + 20"], ["a", "b + 5", "b + 25"], ["b", "f + 1", "f + 26"], ["f", "c + 1", "c + 27"], ["c", 16, "43"]], "target_var_name": "s", "target_value": 43, "value_dict": {"c": 16}, "is_reverse": true}}
| 1,120
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 1; j = o + 6; o = q + 1; m = h + 3; n = t + 1; t = c + 13; a = b + 5; i = n + 14; q = i + 12; f = c + 1; s = m + 8; c = 16; h = a + 9. If c = 16, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 3 to s, which gives s = h + 11.\n2. Substitute h = a + 9 to s, which gives s = a + 20.\n3. Substitute a = b + 5 to s, which gives s = b + 25.\n4. Substitute b = f + 1 to s, which gives s = f + 26.\n5. Substitute f = c + 1 to s, which gives s = c + 27.\n6. Substitute c = 16 to s, which gives s = 43.\n\nThus, the final answer is s = \\boxed{43}.",
"index": 1120,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 1; j = o + 6; o = q + 1; m = h + 3; n = t + 1; t = c + 13; a = b + 5; i = n + 14; q = i + 12; f = c + 1; s = m + 8; c = 16; h = a + 9. If c = 16, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 13", "p": "g + 9", "x": "p + 5", "d": "x + 7", "f": "d + 19", "i": "f + 1", "c": "u + 3", "t": "c + 9", "z": "t + 14", "s": "z + 3", "y": "s + 1", "k": "y + 10", "u": 8}, "premises": {"u": 8}, "target": "i"}, "answer": {"steps": [["f", "d + 19", "d + 20"], ["d", "x + 7", "x + 27"], ["x", "p + 5", "p + 32"], ["p", "g + 9", "g + 41"], ["g", "u + 13", "u + 54"], ["u", 8, "62"]], "target_var_name": "i", "target_value": 62, "value_dict": {"u": 8}, "is_reverse": true}}
| 1,121
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = f + 1; y = s + 1; d = x + 7; k = y + 10; x = p + 5; u = 8; c = u + 3; p = g + 9; g = u + 13; z = t + 14; f = d + 19; s = z + 3; t = c + 9. Given that u = 8, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 19 to i, which gives i = d + 20.\n2. Substitute d = x + 7 to i, which gives i = x + 27.\n3. Substitute x = p + 5 to i, which gives i = p + 32.\n4. Substitute p = g + 9 to i, which gives i = g + 41.\n5. Substitute g = u + 13 to i, which gives i = u + 54.\n6. Substitute u = 8 to i, which gives i = 62.\n\nThus, the final answer is i = \\boxed{62}.",
"index": 1121,
"question": "Suppose a collection of variables is related by the following definitions: i = f + 1; y = s + 1; d = x + 7; k = y + 10; x = p + 5; u = 8; c = u + 3; p = g + 9; g = u + 13; z = t + 14; f = d + 19; s = z + 3; t = c + 9. Given that u = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"n": "c + 6", "a": "n + 1", "o": "a + 13", "s": "o + 1", "q": "s + 10", "k": "q + 16", "m": "c + 17", "w": "m + 17", "g": "w + 4", "d": "g + 20", "h": "d + 2", "l": "h + 14", "c": 11}, "premises": {"c": 11}, "target": "k"}, "answer": {"steps": [["q", "s + 10", "s + 26"], ["s", "o + 1", "o + 27"], ["o", "a + 13", "a + 40"], ["a", "n + 1", "n + 41"], ["n", "c + 6", "c + 47"], ["c", 11, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"c": 11}, "is_reverse": true}}
| 1,122
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = h + 14; d = g + 20; s = o + 1; w = m + 17; g = w + 4; h = d + 2; o = a + 13; m = c + 17; q = s + 10; k = q + 16; a = n + 1; c = 11; n = c + 6. Given that c = 11, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = s + 10 to k, which gives k = s + 26.\n2. Substitute s = o + 1 to k, which gives k = o + 27.\n3. Substitute o = a + 13 to k, which gives k = a + 40.\n4. Substitute a = n + 1 to k, which gives k = n + 41.\n5. Substitute n = c + 6 to k, which gives k = c + 47.\n6. Substitute c = 11 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 1122,
"question": "Suppose a collection of variables is related by the following definitions: l = h + 14; d = g + 20; s = o + 1; w = m + 17; g = w + 4; h = d + 2; o = a + 13; m = c + 17; q = s + 10; k = q + 16; a = n + 1; c = 11; n = c + 6. Given that c = 11, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"s": "p + 6", "b": "s + 16", "j": "b + 16", "l": "j + 16", "n": "l + 9", "k": "n + 10", "t": "p + 14", "d": "t + 10", "v": "d + 3", "y": "v + 1", "x": "y + 15", "h": "x + 19", "p": 20}, "premises": {"p": 20}, "target": "k"}, "answer": {"steps": [["n", "l + 9", "l + 19"], ["l", "j + 16", "j + 35"], ["j", "b + 16", "b + 51"], ["b", "s + 16", "s + 67"], ["s", "p + 6", "p + 73"], ["p", 20, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"p": 20}, "is_reverse": true}}
| 1,123
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = p + 14; b = s + 16; y = v + 1; k = n + 10; s = p + 6; j = b + 16; n = l + 9; d = t + 10; h = x + 19; x = y + 15; l = j + 16; p = 20; v = d + 3. Given that p = 20, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 9 to k, which gives k = l + 19.\n2. Substitute l = j + 16 to k, which gives k = j + 35.\n3. Substitute j = b + 16 to k, which gives k = b + 51.\n4. Substitute b = s + 16 to k, which gives k = s + 67.\n5. Substitute s = p + 6 to k, which gives k = p + 73.\n6. Substitute p = 20 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 1123,
"question": "Suppose a collection of variables is related by the following definitions: t = p + 14; b = s + 16; y = v + 1; k = n + 10; s = p + 6; j = b + 16; n = l + 9; d = t + 10; h = x + 19; x = y + 15; l = j + 16; p = 20; v = d + 3. Given that p = 20, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"y": "q + 4", "m": "y + 12", "v": "m + 1", "p": "v + 1", "g": "p + 15", "e": "g + 14", "o": "q + 19", "c": "o + 9", "a": "c + 4", "w": "a + 2", "k": "w + 16", "s": "k + 17", "q": 14}, "premises": {"q": 14}, "target": "e"}, "answer": {"steps": [["g", "p + 15", "p + 29"], ["p", "v + 1", "v + 30"], ["v", "m + 1", "m + 31"], ["m", "y + 12", "y + 43"], ["y", "q + 4", "q + 47"], ["q", 14, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"q": 14}, "is_reverse": true}}
| 1,124
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 16; w = a + 2; q = 14; s = k + 17; g = p + 15; p = v + 1; a = c + 4; e = g + 14; m = y + 12; v = m + 1; c = o + 9; o = q + 19; y = q + 4. Given that q = 14, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 15 to e, which gives e = p + 29.\n2. Substitute p = v + 1 to e, which gives e = v + 30.\n3. Substitute v = m + 1 to e, which gives e = m + 31.\n4. Substitute m = y + 12 to e, which gives e = y + 43.\n5. Substitute y = q + 4 to e, which gives e = q + 47.\n6. Substitute q = 14 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 1124,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 16; w = a + 2; q = 14; s = k + 17; g = p + 15; p = v + 1; a = c + 4; e = g + 14; m = y + 12; v = m + 1; c = o + 9; o = q + 19; y = q + 4. Given that q = 14, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 20", "n": "t + 8", "w": "n + 1", "i": "w + 19", "v": "i + 5", "o": "v + 15", "z": "s + 13", "q": "z + 5", "h": "q + 9", "d": "h + 9", "p": "d + 20", "m": "p + 2", "s": 14}, "premises": {"s": 14}, "target": "o"}, "answer": {"steps": [["v", "i + 5", "i + 20"], ["i", "w + 19", "w + 39"], ["w", "n + 1", "n + 40"], ["n", "t + 8", "t + 48"], ["t", "s + 20", "s + 68"], ["s", 14, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"s": 14}, "is_reverse": true}}
| 1,125
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 15; v = i + 5; d = h + 9; t = s + 20; m = p + 2; i = w + 19; p = d + 20; h = q + 9; w = n + 1; q = z + 5; z = s + 13; n = t + 8; s = 14. Given that s = 14, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = i + 5 to o, which gives o = i + 20.\n2. Substitute i = w + 19 to o, which gives o = w + 39.\n3. Substitute w = n + 1 to o, which gives o = n + 40.\n4. Substitute n = t + 8 to o, which gives o = t + 48.\n5. Substitute t = s + 20 to o, which gives o = s + 68.\n6. Substitute s = 14 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 1125,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 15; v = i + 5; d = h + 9; t = s + 20; m = p + 2; i = w + 19; p = d + 20; h = q + 9; w = n + 1; q = z + 5; z = s + 13; n = t + 8; s = 14. Given that s = 14, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 3", "k": "y + 12", "x": "k + 4", "c": "x + 3", "o": "c + 15", "r": "o + 3", "u": "h + 2", "f": "u + 14", "g": "f + 14", "v": "g + 10", "m": "v + 4", "j": "m + 16", "h": 18}, "premises": {"h": 18}, "target": "r"}, "answer": {"steps": [["o", "c + 15", "c + 18"], ["c", "x + 3", "x + 21"], ["x", "k + 4", "k + 25"], ["k", "y + 12", "y + 37"], ["y", "h + 3", "h + 40"], ["h", 18, "58"]], "target_var_name": "r", "target_value": 58, "value_dict": {"h": 18}, "is_reverse": true}}
| 1,126
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 4; m = v + 4; v = g + 10; o = c + 15; u = h + 2; c = x + 3; y = h + 3; h = 18; j = m + 16; r = o + 3; f = u + 14; g = f + 14; k = y + 12. If h = 18, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 15 to r, which gives r = c + 18.\n2. Substitute c = x + 3 to r, which gives r = x + 21.\n3. Substitute x = k + 4 to r, which gives r = k + 25.\n4. Substitute k = y + 12 to r, which gives r = y + 37.\n5. Substitute y = h + 3 to r, which gives r = h + 40.\n6. Substitute h = 18 to r, which gives r = 58.\n\nThus, the final answer is r = \\boxed{58}.",
"index": 1126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 4; m = v + 4; v = g + 10; o = c + 15; u = h + 2; c = x + 3; y = h + 3; h = 18; j = m + 16; r = o + 3; f = u + 14; g = f + 14; k = y + 12. If h = 18, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 17", "s": "y + 7", "e": "s + 9", "f": "e + 3", "k": "f + 12", "q": "k + 7", "i": "n + 10", "x": "i + 10", "z": "x + 14", "p": "z + 5", "d": "p + 10", "h": "d + 12", "n": 19}, "premises": {"n": 19}, "target": "q"}, "answer": {"steps": [["k", "f + 12", "f + 19"], ["f", "e + 3", "e + 22"], ["e", "s + 9", "s + 31"], ["s", "y + 7", "y + 38"], ["y", "n + 17", "n + 55"], ["n", 19, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"n": 19}, "is_reverse": true}}
| 1,127
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 14; n = 19; q = k + 7; s = y + 7; y = n + 17; h = d + 12; p = z + 5; f = e + 3; x = i + 10; k = f + 12; e = s + 9; d = p + 10; i = n + 10. If n = 19, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 12 to q, which gives q = f + 19.\n2. Substitute f = e + 3 to q, which gives q = e + 22.\n3. Substitute e = s + 9 to q, which gives q = s + 31.\n4. Substitute s = y + 7 to q, which gives q = y + 38.\n5. Substitute y = n + 17 to q, which gives q = n + 55.\n6. Substitute n = 19 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 1127,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 14; n = 19; q = k + 7; s = y + 7; y = n + 17; h = d + 12; p = z + 5; f = e + 3; x = i + 10; k = f + 12; e = s + 9; d = p + 10; i = n + 10. If n = 19, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"b": "e + 18", "t": "b + 1", "z": "t + 18", "n": "z + 15", "j": "n + 12", "l": "j + 13", "x": "e + 10", "g": "x + 20", "q": "g + 14", "v": "q + 5", "u": "v + 12", "o": "u + 12", "e": 3}, "premises": {"e": 3}, "target": "l"}, "answer": {"steps": [["j", "n + 12", "n + 25"], ["n", "z + 15", "z + 40"], ["z", "t + 18", "t + 58"], ["t", "b + 1", "b + 59"], ["b", "e + 18", "e + 77"], ["e", 3, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"e": 3}, "is_reverse": true}}
| 1,128
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = b + 1; b = e + 18; v = q + 5; n = z + 15; g = x + 20; u = v + 12; z = t + 18; e = 3; j = n + 12; l = j + 13; o = u + 12; x = e + 10; q = g + 14. Given that e = 3, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 12 to l, which gives l = n + 25.\n2. Substitute n = z + 15 to l, which gives l = z + 40.\n3. Substitute z = t + 18 to l, which gives l = t + 58.\n4. Substitute t = b + 1 to l, which gives l = b + 59.\n5. Substitute b = e + 18 to l, which gives l = e + 77.\n6. Substitute e = 3 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 1128,
"question": "Suppose a collection of variables is related by the following definitions: t = b + 1; b = e + 18; v = q + 5; n = z + 15; g = x + 20; u = v + 12; z = t + 18; e = 3; j = n + 12; l = j + 13; o = u + 12; x = e + 10; q = g + 14. Given that e = 3, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 4", "a": "g + 18", "s": "a + 3", "e": "s + 17", "x": "e + 16", "y": "x + 14", "q": "j + 4", "k": "q + 3", "p": "k + 8", "t": "p + 20", "o": "t + 6", "r": "o + 5", "j": 20}, "premises": {"j": 20}, "target": "y"}, "answer": {"steps": [["x", "e + 16", "e + 30"], ["e", "s + 17", "s + 47"], ["s", "a + 3", "a + 50"], ["a", "g + 18", "g + 68"], ["g", "j + 4", "j + 72"], ["j", 20, "92"]], "target_var_name": "y", "target_value": 92, "value_dict": {"j": 20}, "is_reverse": true}}
| 1,129
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 4; p = k + 8; a = g + 18; x = e + 16; s = a + 3; o = t + 6; r = o + 5; e = s + 17; q = j + 4; k = q + 3; t = p + 20; j = 20; y = x + 14. If j = 20, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 16 to y, which gives y = e + 30.\n2. Substitute e = s + 17 to y, which gives y = s + 47.\n3. Substitute s = a + 3 to y, which gives y = a + 50.\n4. Substitute a = g + 18 to y, which gives y = g + 68.\n5. Substitute g = j + 4 to y, which gives y = j + 72.\n6. Substitute j = 20 to y, which gives y = 92.\n\nThus, the final answer is y = \\boxed{92}.",
"index": 1129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 4; p = k + 8; a = g + 18; x = e + 16; s = a + 3; o = t + 6; r = o + 5; e = s + 17; q = j + 4; k = q + 3; t = p + 20; j = 20; y = x + 14. If j = 20, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"l": "o + 4", "r": "l + 19", "k": "r + 7", "z": "k + 18", "s": "z + 17", "y": "s + 16", "e": "o + 15", "t": "e + 6", "f": "t + 1", "p": "f + 6", "a": "p + 4", "x": "a + 13", "o": 6}, "premises": {"o": 6}, "target": "y"}, "answer": {"steps": [["s", "z + 17", "z + 33"], ["z", "k + 18", "k + 51"], ["k", "r + 7", "r + 58"], ["r", "l + 19", "l + 77"], ["l", "o + 4", "o + 81"], ["o", 6, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"o": 6}, "is_reverse": true}}
| 1,130
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = k + 18; k = r + 7; a = p + 4; r = l + 19; p = f + 6; e = o + 15; t = e + 6; s = z + 17; y = s + 16; o = 6; l = o + 4; f = t + 1; x = a + 13. If o = 6, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = z + 17 to y, which gives y = z + 33.\n2. Substitute z = k + 18 to y, which gives y = k + 51.\n3. Substitute k = r + 7 to y, which gives y = r + 58.\n4. Substitute r = l + 19 to y, which gives y = l + 77.\n5. Substitute l = o + 4 to y, which gives y = o + 81.\n6. Substitute o = 6 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 1130,
"question": "Consider a system of variables where each variable is defined as follows: z = k + 18; k = r + 7; a = p + 4; r = l + 19; p = f + 6; e = o + 15; t = e + 6; s = z + 17; y = s + 16; o = 6; l = o + 4; f = t + 1; x = a + 13. If o = 6, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"t": "n + 16", "y": "t + 10", "g": "y + 8", "c": "g + 8", "f": "c + 13", "z": "f + 20", "d": "n + 5", "o": "d + 17", "l": "o + 8", "v": "l + 5", "r": "v + 6", "s": "r + 12", "n": 3}, "premises": {"n": 3}, "target": "z"}, "answer": {"steps": [["f", "c + 13", "c + 33"], ["c", "g + 8", "g + 41"], ["g", "y + 8", "y + 49"], ["y", "t + 10", "t + 59"], ["t", "n + 16", "n + 75"], ["n", 3, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"n": 3}, "is_reverse": true}}
| 1,131
| 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 = 3; c = g + 8; y = t + 10; r = v + 6; o = d + 17; d = n + 5; l = o + 8; g = y + 8; v = l + 5; f = c + 13; z = f + 20; t = n + 16; s = r + 12. If n = 3, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 13 to z, which gives z = c + 33.\n2. Substitute c = g + 8 to z, which gives z = g + 41.\n3. Substitute g = y + 8 to z, which gives z = y + 49.\n4. Substitute y = t + 10 to z, which gives z = t + 59.\n5. Substitute t = n + 16 to z, which gives z = n + 75.\n6. Substitute n = 3 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 1131,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 3; c = g + 8; y = t + 10; r = v + 6; o = d + 17; d = n + 5; l = o + 8; g = y + 8; v = l + 5; f = c + 13; z = f + 20; t = n + 16; s = r + 12. If n = 3, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 7", "d": "t + 12", "l": "d + 10", "x": "l + 1", "b": "x + 20", "j": "b + 17", "f": "g + 9", "i": "f + 11", "h": "i + 2", "e": "h + 19", "q": "e + 7", "c": "q + 12", "g": 9}, "premises": {"g": 9}, "target": "j"}, "answer": {"steps": [["b", "x + 20", "x + 37"], ["x", "l + 1", "l + 38"], ["l", "d + 10", "d + 48"], ["d", "t + 12", "t + 60"], ["t", "g + 7", "g + 67"], ["g", 9, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"g": 9}, "is_reverse": true}}
| 1,132
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 2; i = f + 11; d = t + 12; q = e + 7; c = q + 12; x = l + 1; e = h + 19; f = g + 9; l = d + 10; j = b + 17; b = x + 20; g = 9; t = g + 7. If g = 9, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 20 to j, which gives j = x + 37.\n2. Substitute x = l + 1 to j, which gives j = l + 38.\n3. Substitute l = d + 10 to j, which gives j = d + 48.\n4. Substitute d = t + 12 to j, which gives j = t + 60.\n5. Substitute t = g + 7 to j, which gives j = g + 67.\n6. Substitute g = 9 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 1132,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 2; i = f + 11; d = t + 12; q = e + 7; c = q + 12; x = l + 1; e = h + 19; f = g + 9; l = d + 10; j = b + 17; b = x + 20; g = 9; t = g + 7. If g = 9, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 3", "e": "j + 5", "q": "e + 12", "x": "q + 16", "s": "x + 16", "c": "s + 8", "u": "b + 6", "f": "u + 8", "o": "f + 10", "i": "o + 11", "t": "i + 2", "a": "t + 8", "b": 6}, "premises": {"b": 6}, "target": "c"}, "answer": {"steps": [["s", "x + 16", "x + 24"], ["x", "q + 16", "q + 40"], ["q", "e + 12", "e + 52"], ["e", "j + 5", "j + 57"], ["j", "b + 3", "b + 60"], ["b", 6, "66"]], "target_var_name": "c", "target_value": 66, "value_dict": {"b": 6}, "is_reverse": true}}
| 1,133
| 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 = s + 8; t = i + 2; u = b + 6; x = q + 16; a = t + 8; q = e + 12; i = o + 11; b = 6; s = x + 16; j = b + 3; o = f + 10; e = j + 5; f = u + 8. If b = 6, what is the resulting 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 s = x + 16 to c, which gives c = x + 24.\n2. Substitute x = q + 16 to c, which gives c = q + 40.\n3. Substitute q = e + 12 to c, which gives c = e + 52.\n4. Substitute e = j + 5 to c, which gives c = j + 57.\n5. Substitute j = b + 3 to c, which gives c = b + 60.\n6. Substitute b = 6 to c, which gives c = 66.\n\nThus, the final answer is c = \\boxed{66}.",
"index": 1133,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = s + 8; t = i + 2; u = b + 6; x = q + 16; a = t + 8; q = e + 12; i = o + 11; b = 6; s = x + 16; j = b + 3; o = f + 10; e = j + 5; f = u + 8. If b = 6, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"q": "j + 9", "b": "q + 20", "y": "b + 16", "z": "y + 11", "g": "z + 14", "r": "g + 11", "w": "j + 16", "n": "w + 14", "m": "n + 3", "v": "m + 3", "d": "v + 9", "l": "d + 4", "j": 15}, "premises": {"j": 15}, "target": "r"}, "answer": {"steps": [["g", "z + 14", "z + 25"], ["z", "y + 11", "y + 36"], ["y", "b + 16", "b + 52"], ["b", "q + 20", "q + 72"], ["q", "j + 9", "j + 81"], ["j", 15, "96"]], "target_var_name": "r", "target_value": 96, "value_dict": {"j": 15}, "is_reverse": true}}
| 1,134
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 9; r = g + 11; q = j + 9; w = j + 16; y = b + 16; l = d + 4; b = q + 20; z = y + 11; m = n + 3; g = z + 14; j = 15; v = m + 3; n = w + 14. If j = 15, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 14 to r, which gives r = z + 25.\n2. Substitute z = y + 11 to r, which gives r = y + 36.\n3. Substitute y = b + 16 to r, which gives r = b + 52.\n4. Substitute b = q + 20 to r, which gives r = q + 72.\n5. Substitute q = j + 9 to r, which gives r = j + 81.\n6. Substitute j = 15 to r, which gives r = 96.\n\nThus, the final answer is r = \\boxed{96}.",
"index": 1134,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 9; r = g + 11; q = j + 9; w = j + 16; y = b + 16; l = d + 4; b = q + 20; z = y + 11; m = n + 3; g = z + 14; j = 15; v = m + 3; n = w + 14. If j = 15, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"l": "u + 2", "k": "l + 7", "j": "k + 14", "m": "j + 11", "x": "m + 7", "h": "x + 12", "e": "u + 6", "y": "e + 18", "o": "y + 17", "i": "o + 10", "a": "i + 20", "s": "a + 18", "u": 10}, "premises": {"u": 10}, "target": "h"}, "answer": {"steps": [["x", "m + 7", "m + 19"], ["m", "j + 11", "j + 30"], ["j", "k + 14", "k + 44"], ["k", "l + 7", "l + 51"], ["l", "u + 2", "u + 53"], ["u", 10, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"u": 10}, "is_reverse": true}}
| 1,135
| 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 = o + 10; a = i + 20; o = y + 17; m = j + 11; s = a + 18; u = 10; y = e + 18; l = u + 2; k = l + 7; j = k + 14; h = x + 12; e = u + 6; x = m + 7. If u = 10, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 7 to h, which gives h = m + 19.\n2. Substitute m = j + 11 to h, which gives h = j + 30.\n3. Substitute j = k + 14 to h, which gives h = k + 44.\n4. Substitute k = l + 7 to h, which gives h = l + 51.\n5. Substitute l = u + 2 to h, which gives h = u + 53.\n6. Substitute u = 10 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 1135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 10; a = i + 20; o = y + 17; m = j + 11; s = a + 18; u = 10; y = e + 18; l = u + 2; k = l + 7; j = k + 14; h = x + 12; e = u + 6; x = m + 7. If u = 10, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"b": "k + 15", "j": "b + 9", "f": "j + 18", "t": "f + 9", "u": "t + 19", "e": "u + 7", "w": "k + 16", "x": "w + 4", "c": "x + 20", "p": "c + 5", "s": "p + 16", "n": "s + 19", "k": 5}, "premises": {"k": 5}, "target": "e"}, "answer": {"steps": [["u", "t + 19", "t + 26"], ["t", "f + 9", "f + 35"], ["f", "j + 18", "j + 53"], ["j", "b + 9", "b + 62"], ["b", "k + 15", "k + 77"], ["k", 5, "82"]], "target_var_name": "e", "target_value": 82, "value_dict": {"k": 5}, "is_reverse": true}}
| 1,136
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 9; c = x + 20; b = k + 15; s = p + 16; w = k + 16; t = f + 9; e = u + 7; k = 5; u = t + 19; p = c + 5; f = j + 18; x = w + 4; n = s + 19. Given that k = 5, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 19 to e, which gives e = t + 26.\n2. Substitute t = f + 9 to e, which gives e = f + 35.\n3. Substitute f = j + 18 to e, which gives e = j + 53.\n4. Substitute j = b + 9 to e, which gives e = b + 62.\n5. Substitute b = k + 15 to e, which gives e = k + 77.\n6. Substitute k = 5 to e, which gives e = 82.\n\nThus, the final answer is e = \\boxed{82}.",
"index": 1136,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 9; c = x + 20; b = k + 15; s = p + 16; w = k + 16; t = f + 9; e = u + 7; k = 5; u = t + 19; p = c + 5; f = j + 18; x = w + 4; n = s + 19. Given that k = 5, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"a": "k + 18", "x": "a + 7", "d": "x + 4", "p": "d + 18", "l": "p + 12", "m": "l + 6", "h": "k + 20", "g": "h + 2", "w": "g + 8", "r": "w + 19", "q": "r + 9", "y": "q + 12", "k": 2}, "premises": {"k": 2}, "target": "m"}, "answer": {"steps": [["l", "p + 12", "p + 18"], ["p", "d + 18", "d + 36"], ["d", "x + 4", "x + 40"], ["x", "a + 7", "a + 47"], ["a", "k + 18", "k + 65"], ["k", 2, "67"]], "target_var_name": "m", "target_value": 67, "value_dict": {"k": 2}, "is_reverse": true}}
| 1,137
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 18; g = h + 2; a = k + 18; q = r + 9; d = x + 4; h = k + 20; r = w + 19; m = l + 6; l = p + 12; x = a + 7; w = g + 8; y = q + 12; k = 2. If k = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 12 to m, which gives m = p + 18.\n2. Substitute p = d + 18 to m, which gives m = d + 36.\n3. Substitute d = x + 4 to m, which gives m = x + 40.\n4. Substitute x = a + 7 to m, which gives m = a + 47.\n5. Substitute a = k + 18 to m, which gives m = k + 65.\n6. Substitute k = 2 to m, which gives m = 67.\n\nThus, the final answer is m = \\boxed{67}.",
"index": 1137,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = d + 18; g = h + 2; a = k + 18; q = r + 9; d = x + 4; h = k + 20; r = w + 19; m = l + 6; l = p + 12; x = a + 7; w = g + 8; y = q + 12; k = 2. If k = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 10", "d": "j + 9", "g": "d + 7", "a": "g + 15", "p": "a + 15", "r": "p + 15", "e": "u + 12", "w": "e + 2", "h": "w + 15", "m": "h + 9", "o": "m + 9", "b": "o + 18", "u": 2}, "premises": {"u": 2}, "target": "r"}, "answer": {"steps": [["p", "a + 15", "a + 30"], ["a", "g + 15", "g + 45"], ["g", "d + 7", "d + 52"], ["d", "j + 9", "j + 61"], ["j", "u + 10", "u + 71"], ["u", 2, "73"]], "target_var_name": "r", "target_value": 73, "value_dict": {"u": 2}, "is_reverse": true}}
| 1,138
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = h + 9; b = o + 18; a = g + 15; d = j + 9; o = m + 9; j = u + 10; u = 2; g = d + 7; p = a + 15; w = e + 2; h = w + 15; r = p + 15; e = u + 12. Given that u = 2, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 15 to r, which gives r = a + 30.\n2. Substitute a = g + 15 to r, which gives r = g + 45.\n3. Substitute g = d + 7 to r, which gives r = d + 52.\n4. Substitute d = j + 9 to r, which gives r = j + 61.\n5. Substitute j = u + 10 to r, which gives r = u + 71.\n6. Substitute u = 2 to r, which gives r = 73.\n\nThus, the final answer is r = \\boxed{73}.",
"index": 1138,
"question": "Suppose a collection of variables is related by the following definitions: m = h + 9; b = o + 18; a = g + 15; d = j + 9; o = m + 9; j = u + 10; u = 2; g = d + 7; p = a + 15; w = e + 2; h = w + 15; r = p + 15; e = u + 12. Given that u = 2, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 3", "u": "o + 7", "e": "u + 1", "d": "e + 7", "w": "d + 16", "s": "w + 3", "i": "h + 7", "a": "i + 18", "c": "a + 13", "x": "c + 14", "m": "x + 16", "g": "m + 10", "h": 18}, "premises": {"h": 18}, "target": "s"}, "answer": {"steps": [["w", "d + 16", "d + 19"], ["d", "e + 7", "e + 26"], ["e", "u + 1", "u + 27"], ["u", "o + 7", "o + 34"], ["o", "h + 3", "h + 37"], ["h", 18, "55"]], "target_var_name": "s", "target_value": 55, "value_dict": {"h": 18}, "is_reverse": true}}
| 1,139
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = a + 13; i = h + 7; m = x + 16; u = o + 7; e = u + 1; s = w + 3; d = e + 7; a = i + 18; h = 18; x = c + 14; g = m + 10; w = d + 16; o = h + 3. If h = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 16 to s, which gives s = d + 19.\n2. Substitute d = e + 7 to s, which gives s = e + 26.\n3. Substitute e = u + 1 to s, which gives s = u + 27.\n4. Substitute u = o + 7 to s, which gives s = o + 34.\n5. Substitute o = h + 3 to s, which gives s = h + 37.\n6. Substitute h = 18 to s, which gives s = 55.\n\nThus, the final answer is s = \\boxed{55}.",
"index": 1139,
"question": "Consider a system of variables where each variable is defined as follows: c = a + 13; i = h + 7; m = x + 16; u = o + 7; e = u + 1; s = w + 3; d = e + 7; a = i + 18; h = 18; x = c + 14; g = m + 10; w = d + 16; o = h + 3. If h = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 20", "w": "h + 12", "y": "w + 5", "u": "y + 3", "i": "u + 3", "c": "i + 2", "n": "o + 10", "f": "n + 7", "j": "f + 9", "s": "j + 11", "d": "s + 20", "a": "d + 6", "o": 9}, "premises": {"o": 9}, "target": "c"}, "answer": {"steps": [["i", "u + 3", "u + 5"], ["u", "y + 3", "y + 8"], ["y", "w + 5", "w + 13"], ["w", "h + 12", "h + 25"], ["h", "o + 20", "o + 45"], ["o", 9, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"o": 9}, "is_reverse": true}}
| 1,140
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 5; c = i + 2; o = 9; j = f + 9; i = u + 3; n = o + 10; s = j + 11; a = d + 6; f = n + 7; d = s + 20; h = o + 20; w = h + 12; u = y + 3. Given that o = 9, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 3 to c, which gives c = u + 5.\n2. Substitute u = y + 3 to c, which gives c = y + 8.\n3. Substitute y = w + 5 to c, which gives c = w + 13.\n4. Substitute w = h + 12 to c, which gives c = h + 25.\n5. Substitute h = o + 20 to c, which gives c = o + 45.\n6. Substitute o = 9 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 1140,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 5; c = i + 2; o = 9; j = f + 9; i = u + 3; n = o + 10; s = j + 11; a = d + 6; f = n + 7; d = s + 20; h = o + 20; w = h + 12; u = y + 3. Given that o = 9, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"s": "l + 7", "p": "s + 14", "i": "p + 15", "x": "i + 15", "k": "x + 2", "a": "k + 5", "q": "l + 15", "t": "q + 18", "c": "t + 16", "r": "c + 7", "h": "r + 19", "u": "h + 4", "l": 8}, "premises": {"l": 8}, "target": "a"}, "answer": {"steps": [["k", "x + 2", "x + 7"], ["x", "i + 15", "i + 22"], ["i", "p + 15", "p + 37"], ["p", "s + 14", "s + 51"], ["s", "l + 7", "l + 58"], ["l", 8, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"l": 8}, "is_reverse": true}}
| 1,141
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = c + 7; p = s + 14; k = x + 2; h = r + 19; t = q + 18; a = k + 5; i = p + 15; u = h + 4; c = t + 16; l = 8; x = i + 15; s = l + 7; q = l + 15. Given that l = 8, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 2 to a, which gives a = x + 7.\n2. Substitute x = i + 15 to a, which gives a = i + 22.\n3. Substitute i = p + 15 to a, which gives a = p + 37.\n4. Substitute p = s + 14 to a, which gives a = s + 51.\n5. Substitute s = l + 7 to a, which gives a = l + 58.\n6. Substitute l = 8 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 1141,
"question": "Suppose a collection of variables is related by the following definitions: r = c + 7; p = s + 14; k = x + 2; h = r + 19; t = q + 18; a = k + 5; i = p + 15; u = h + 4; c = t + 16; l = 8; x = i + 15; s = l + 7; q = l + 15. Given that l = 8, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"t": "j + 5", "k": "t + 19", "x": "k + 20", "g": "x + 3", "c": "g + 6", "h": "c + 7", "n": "j + 9", "e": "n + 11", "u": "e + 2", "r": "u + 14", "s": "r + 6", "m": "s + 7", "j": 12}, "premises": {"j": 12}, "target": "h"}, "answer": {"steps": [["c", "g + 6", "g + 13"], ["g", "x + 3", "x + 16"], ["x", "k + 20", "k + 36"], ["k", "t + 19", "t + 55"], ["t", "j + 5", "j + 60"], ["j", 12, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"j": 12}, "is_reverse": true}}
| 1,142
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = s + 7; g = x + 3; n = j + 9; r = u + 14; u = e + 2; c = g + 6; j = 12; s = r + 6; h = c + 7; x = k + 20; t = j + 5; e = n + 11; k = t + 19. Given that j = 12, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 6 to h, which gives h = g + 13.\n2. Substitute g = x + 3 to h, which gives h = x + 16.\n3. Substitute x = k + 20 to h, which gives h = k + 36.\n4. Substitute k = t + 19 to h, which gives h = t + 55.\n5. Substitute t = j + 5 to h, which gives h = j + 60.\n6. Substitute j = 12 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 1142,
"question": "Suppose a collection of variables is related by the following definitions: m = s + 7; g = x + 3; n = j + 9; r = u + 14; u = e + 2; c = g + 6; j = 12; s = r + 6; h = c + 7; x = k + 20; t = j + 5; e = n + 11; k = t + 19. Given that j = 12, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 4", "w": "a + 13", "i": "w + 19", "e": "i + 20", "n": "e + 17", "m": "n + 20", "y": "o + 6", "s": "y + 13", "k": "s + 12", "g": "k + 19", "x": "g + 7", "v": "x + 5", "o": 11}, "premises": {"o": 11}, "target": "m"}, "answer": {"steps": [["n", "e + 17", "e + 37"], ["e", "i + 20", "i + 57"], ["i", "w + 19", "w + 76"], ["w", "a + 13", "a + 89"], ["a", "o + 4", "o + 93"], ["o", 11, "104"]], "target_var_name": "m", "target_value": 104, "value_dict": {"o": 11}, "is_reverse": true}}
| 1,143
| 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 = 11; s = y + 13; e = i + 20; k = s + 12; i = w + 19; v = x + 5; a = o + 4; n = e + 17; g = k + 19; y = o + 6; x = g + 7; m = n + 20; w = a + 13. If o = 11, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 17 to m, which gives m = e + 37.\n2. Substitute e = i + 20 to m, which gives m = i + 57.\n3. Substitute i = w + 19 to m, which gives m = w + 76.\n4. Substitute w = a + 13 to m, which gives m = a + 89.\n5. Substitute a = o + 4 to m, which gives m = o + 93.\n6. Substitute o = 11 to m, which gives m = 104.\n\nThus, the final answer is m = \\boxed{104}.",
"index": 1143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 11; s = y + 13; e = i + 20; k = s + 12; i = w + 19; v = x + 5; a = o + 4; n = e + 17; g = k + 19; y = o + 6; x = g + 7; m = n + 20; w = a + 13. If o = 11, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"f": "m + 5", "i": "f + 6", "z": "i + 14", "t": "z + 6", "x": "t + 11", "o": "x + 14", "j": "m + 14", "s": "j + 11", "h": "s + 13", "p": "h + 9", "g": "p + 18", "y": "g + 6", "m": 12}, "premises": {"m": 12}, "target": "o"}, "answer": {"steps": [["x", "t + 11", "t + 25"], ["t", "z + 6", "z + 31"], ["z", "i + 14", "i + 45"], ["i", "f + 6", "f + 51"], ["f", "m + 5", "m + 56"], ["m", 12, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"m": 12}, "is_reverse": true}}
| 1,144
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 9; s = j + 11; f = m + 5; m = 12; g = p + 18; t = z + 6; o = x + 14; y = g + 6; h = s + 13; z = i + 14; j = m + 14; i = f + 6; x = t + 11. Given that m = 12, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 11 to o, which gives o = t + 25.\n2. Substitute t = z + 6 to o, which gives o = z + 31.\n3. Substitute z = i + 14 to o, which gives o = i + 45.\n4. Substitute i = f + 6 to o, which gives o = f + 51.\n5. Substitute f = m + 5 to o, which gives o = m + 56.\n6. Substitute m = 12 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 1144,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 9; s = j + 11; f = m + 5; m = 12; g = p + 18; t = z + 6; o = x + 14; y = g + 6; h = s + 13; z = i + 14; j = m + 14; i = f + 6; x = t + 11. Given that m = 12, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 2", "w": "h + 14", "b": "w + 14", "c": "b + 15", "l": "c + 6", "o": "l + 9", "v": "s + 7", "j": "v + 14", "d": "j + 19", "y": "d + 18", "r": "y + 6", "n": "r + 16", "s": 2}, "premises": {"s": 2}, "target": "o"}, "answer": {"steps": [["l", "c + 6", "c + 15"], ["c", "b + 15", "b + 30"], ["b", "w + 14", "w + 44"], ["w", "h + 14", "h + 58"], ["h", "s + 2", "s + 60"], ["s", 2, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"s": 2}, "is_reverse": true}}
| 1,145
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 2; j = v + 14; r = y + 6; c = b + 15; l = c + 6; o = l + 9; n = r + 16; w = h + 14; y = d + 18; v = s + 7; d = j + 19; s = 2; b = w + 14. If s = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = c + 6 to o, which gives o = c + 15.\n2. Substitute c = b + 15 to o, which gives o = b + 30.\n3. Substitute b = w + 14 to o, which gives o = w + 44.\n4. Substitute w = h + 14 to o, which gives o = h + 58.\n5. Substitute h = s + 2 to o, which gives o = s + 60.\n6. Substitute s = 2 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 1145,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 2; j = v + 14; r = y + 6; c = b + 15; l = c + 6; o = l + 9; n = r + 16; w = h + 14; y = d + 18; v = s + 7; d = j + 19; s = 2; b = w + 14. If s = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"t": "f + 16", "x": "t + 11", "e": "x + 1", "h": "e + 10", "w": "h + 9", "p": "w + 13", "m": "f + 3", "d": "m + 14", "i": "d + 5", "b": "i + 8", "y": "b + 13", "o": "y + 2", "f": 10}, "premises": {"f": 10}, "target": "p"}, "answer": {"steps": [["w", "h + 9", "h + 22"], ["h", "e + 10", "e + 32"], ["e", "x + 1", "x + 33"], ["x", "t + 11", "t + 44"], ["t", "f + 16", "f + 60"], ["f", 10, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"f": 10}, "is_reverse": true}}
| 1,146
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = y + 2; p = w + 13; i = d + 5; f = 10; m = f + 3; d = m + 14; x = t + 11; w = h + 9; b = i + 8; t = f + 16; y = b + 13; h = e + 10; e = x + 1. If f = 10, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to p, which gives p = h + 22.\n2. Substitute h = e + 10 to p, which gives p = e + 32.\n3. Substitute e = x + 1 to p, which gives p = x + 33.\n4. Substitute x = t + 11 to p, which gives p = t + 44.\n5. Substitute t = f + 16 to p, which gives p = f + 60.\n6. Substitute f = 10 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 1146,
"question": "Consider a system of variables where each variable is defined as follows: o = y + 2; p = w + 13; i = d + 5; f = 10; m = f + 3; d = m + 14; x = t + 11; w = h + 9; b = i + 8; t = f + 16; y = b + 13; h = e + 10; e = x + 1. If f = 10, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 9", "y": "d + 14", "z": "y + 3", "a": "z + 18", "i": "a + 15", "u": "i + 10", "s": "t + 16", "l": "s + 3", "k": "l + 17", "p": "k + 12", "h": "p + 6", "o": "h + 16", "t": 14}, "premises": {"t": 14}, "target": "u"}, "answer": {"steps": [["i", "a + 15", "a + 25"], ["a", "z + 18", "z + 43"], ["z", "y + 3", "y + 46"], ["y", "d + 14", "d + 60"], ["d", "t + 9", "t + 69"], ["t", 14, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"t": 14}, "is_reverse": true}}
| 1,147
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 17; l = s + 3; z = y + 3; a = z + 18; p = k + 12; u = i + 10; h = p + 6; y = d + 14; t = 14; o = h + 16; i = a + 15; d = t + 9; s = t + 16. If t = 14, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = a + 15 to u, which gives u = a + 25.\n2. Substitute a = z + 18 to u, which gives u = z + 43.\n3. Substitute z = y + 3 to u, which gives u = y + 46.\n4. Substitute y = d + 14 to u, which gives u = d + 60.\n5. Substitute d = t + 9 to u, which gives u = t + 69.\n6. Substitute t = 14 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 1147,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 17; l = s + 3; z = y + 3; a = z + 18; p = k + 12; u = i + 10; h = p + 6; y = d + 14; t = 14; o = h + 16; i = a + 15; d = t + 9; s = t + 16. If t = 14, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 4", "c": "g + 14", "a": "c + 17", "t": "a + 8", "r": "t + 11", "x": "r + 1", "j": "e + 10", "n": "j + 18", "f": "n + 3", "l": "f + 5", "u": "l + 1", "q": "u + 17", "e": 18}, "premises": {"e": 18}, "target": "x"}, "answer": {"steps": [["r", "t + 11", "t + 12"], ["t", "a + 8", "a + 20"], ["a", "c + 17", "c + 37"], ["c", "g + 14", "g + 51"], ["g", "e + 4", "e + 55"], ["e", 18, "73"]], "target_var_name": "x", "target_value": 73, "value_dict": {"e": 18}, "is_reverse": true}}
| 1,148
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = r + 1; u = l + 1; r = t + 11; j = e + 10; l = f + 5; e = 18; a = c + 17; t = a + 8; q = u + 17; n = j + 18; f = n + 3; c = g + 14; g = e + 4. Given that e = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 11 to x, which gives x = t + 12.\n2. Substitute t = a + 8 to x, which gives x = a + 20.\n3. Substitute a = c + 17 to x, which gives x = c + 37.\n4. Substitute c = g + 14 to x, which gives x = g + 51.\n5. Substitute g = e + 4 to x, which gives x = e + 55.\n6. Substitute e = 18 to x, which gives x = 73.\n\nThus, the final answer is x = \\boxed{73}.",
"index": 1148,
"question": "Suppose a collection of variables is related by the following definitions: x = r + 1; u = l + 1; r = t + 11; j = e + 10; l = f + 5; e = 18; a = c + 17; t = a + 8; q = u + 17; n = j + 18; f = n + 3; c = g + 14; g = e + 4. Given that e = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "u + 2", "t": "r + 13", "i": "t + 1", "p": "i + 11", "v": "p + 18", "n": "v + 12", "w": "u + 17", "m": "w + 8", "c": "m + 2", "o": "c + 3", "y": "o + 16", "q": "y + 6", "u": 18}, "premises": {"u": 18}, "target": "n"}, "answer": {"steps": [["v", "p + 18", "p + 30"], ["p", "i + 11", "i + 41"], ["i", "t + 1", "t + 42"], ["t", "r + 13", "r + 55"], ["r", "u + 2", "u + 57"], ["u", 18, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"u": 18}, "is_reverse": true}}
| 1,149
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = c + 3; r = u + 2; w = u + 17; n = v + 12; y = o + 16; t = r + 13; i = t + 1; u = 18; v = p + 18; m = w + 8; q = y + 6; c = m + 2; p = i + 11. If u = 18, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 18 to n, which gives n = p + 30.\n2. Substitute p = i + 11 to n, which gives n = i + 41.\n3. Substitute i = t + 1 to n, which gives n = t + 42.\n4. Substitute t = r + 13 to n, which gives n = r + 55.\n5. Substitute r = u + 2 to n, which gives n = u + 57.\n6. Substitute u = 18 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 1149,
"question": "Consider a system of variables where each variable is defined as follows: o = c + 3; r = u + 2; w = u + 17; n = v + 12; y = o + 16; t = r + 13; i = t + 1; u = 18; v = p + 18; m = w + 8; q = y + 6; c = m + 2; p = i + 11. If u = 18, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 12", "s": "w + 4", "v": "s + 9", "k": "v + 10", "o": "k + 19", "q": "o + 18", "x": "l + 1", "n": "x + 11", "m": "n + 4", "y": "m + 16", "g": "y + 1", "c": "g + 13", "l": 8}, "premises": {"l": 8}, "target": "q"}, "answer": {"steps": [["o", "k + 19", "k + 37"], ["k", "v + 10", "v + 47"], ["v", "s + 9", "s + 56"], ["s", "w + 4", "w + 60"], ["w", "l + 12", "l + 72"], ["l", 8, "80"]], "target_var_name": "q", "target_value": 80, "value_dict": {"l": 8}, "is_reverse": true}}
| 1,150
| 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 = y + 1; s = w + 4; v = s + 9; k = v + 10; y = m + 16; n = x + 11; q = o + 18; w = l + 12; l = 8; m = n + 4; o = k + 19; c = g + 13; x = l + 1. If l = 8, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 19 to q, which gives q = k + 37.\n2. Substitute k = v + 10 to q, which gives q = v + 47.\n3. Substitute v = s + 9 to q, which gives q = s + 56.\n4. Substitute s = w + 4 to q, which gives q = w + 60.\n5. Substitute w = l + 12 to q, which gives q = l + 72.\n6. Substitute l = 8 to q, which gives q = 80.\n\nThus, the final answer is q = \\boxed{80}.",
"index": 1150,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 1; s = w + 4; v = s + 9; k = v + 10; y = m + 16; n = x + 11; q = o + 18; w = l + 12; l = 8; m = n + 4; o = k + 19; c = g + 13; x = l + 1. If l = 8, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "p + 9", "u": "e + 20", "h": "u + 20", "g": "h + 6", "r": "g + 3", "q": "r + 11", "a": "p + 13", "y": "a + 16", "x": "y + 2", "w": "x + 3", "j": "w + 16", "b": "j + 6", "p": 16}, "premises": {"p": 16}, "target": "q"}, "answer": {"steps": [["r", "g + 3", "g + 14"], ["g", "h + 6", "h + 20"], ["h", "u + 20", "u + 40"], ["u", "e + 20", "e + 60"], ["e", "p + 9", "p + 69"], ["p", 16, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"p": 16}, "is_reverse": true}}
| 1,151
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 6; g = h + 6; r = g + 3; a = p + 13; e = p + 9; h = u + 20; w = x + 3; j = w + 16; x = y + 2; u = e + 20; y = a + 16; q = r + 11; p = 16. Given that p = 16, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 3 to q, which gives q = g + 14.\n2. Substitute g = h + 6 to q, which gives q = h + 20.\n3. Substitute h = u + 20 to q, which gives q = u + 40.\n4. Substitute u = e + 20 to q, which gives q = e + 60.\n5. Substitute e = p + 9 to q, which gives q = p + 69.\n6. Substitute p = 16 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 1151,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 6; g = h + 6; r = g + 3; a = p + 13; e = p + 9; h = u + 20; w = x + 3; j = w + 16; x = y + 2; u = e + 20; y = a + 16; q = r + 11; p = 16. Given that p = 16, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"e": "z + 18", "p": "e + 9", "x": "p + 5", "t": "x + 3", "r": "t + 2", "o": "r + 2", "d": "z + 9", "l": "d + 9", "g": "l + 2", "m": "g + 8", "w": "m + 10", "j": "w + 3", "z": 16}, "premises": {"z": 16}, "target": "o"}, "answer": {"steps": [["r", "t + 2", "t + 4"], ["t", "x + 3", "x + 7"], ["x", "p + 5", "p + 12"], ["p", "e + 9", "e + 21"], ["e", "z + 18", "z + 39"], ["z", 16, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,152
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = t + 2; l = d + 9; d = z + 9; t = x + 3; j = w + 3; g = l + 2; w = m + 10; p = e + 9; x = p + 5; e = z + 18; o = r + 2; m = g + 8; z = 16. Given that z = 16, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 2 to o, which gives o = t + 4.\n2. Substitute t = x + 3 to o, which gives o = x + 7.\n3. Substitute x = p + 5 to o, which gives o = p + 12.\n4. Substitute p = e + 9 to o, which gives o = e + 21.\n5. Substitute e = z + 18 to o, which gives o = z + 39.\n6. Substitute z = 16 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 1152,
"question": "Suppose a collection of variables is related by the following definitions: r = t + 2; l = d + 9; d = z + 9; t = x + 3; j = w + 3; g = l + 2; w = m + 10; p = e + 9; x = p + 5; e = z + 18; o = r + 2; m = g + 8; z = 16. Given that z = 16, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"m": "l + 7", "n": "m + 19", "h": "n + 2", "u": "h + 6", "i": "u + 11", "w": "i + 20", "z": "l + 1", "d": "z + 20", "x": "d + 6", "f": "x + 8", "b": "f + 4", "q": "b + 17", "l": 7}, "premises": {"l": 7}, "target": "w"}, "answer": {"steps": [["i", "u + 11", "u + 31"], ["u", "h + 6", "h + 37"], ["h", "n + 2", "n + 39"], ["n", "m + 19", "m + 58"], ["m", "l + 7", "l + 65"], ["l", 7, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"l": 7}, "is_reverse": true}}
| 1,153
| 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 + 2; q = b + 17; d = z + 20; i = u + 11; m = l + 7; n = m + 19; x = d + 6; u = h + 6; w = i + 20; z = l + 1; f = x + 8; l = 7; b = f + 4. If l = 7, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 11 to w, which gives w = u + 31.\n2. Substitute u = h + 6 to w, which gives w = h + 37.\n3. Substitute h = n + 2 to w, which gives w = n + 39.\n4. Substitute n = m + 19 to w, which gives w = m + 58.\n5. Substitute m = l + 7 to w, which gives w = l + 65.\n6. Substitute l = 7 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 1153,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = n + 2; q = b + 17; d = z + 20; i = u + 11; m = l + 7; n = m + 19; x = d + 6; u = h + 6; w = i + 20; z = l + 1; f = x + 8; l = 7; b = f + 4. If l = 7, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"f": "o + 7", "i": "f + 15", "n": "i + 15", "t": "n + 13", "y": "t + 8", "a": "y + 7", "v": "o + 14", "l": "v + 4", "z": "l + 4", "p": "z + 18", "x": "p + 9", "g": "x + 20", "o": 3}, "premises": {"o": 3}, "target": "a"}, "answer": {"steps": [["y", "t + 8", "t + 15"], ["t", "n + 13", "n + 28"], ["n", "i + 15", "i + 43"], ["i", "f + 15", "f + 58"], ["f", "o + 7", "o + 65"], ["o", 3, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"o": 3}, "is_reverse": true}}
| 1,154
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 9; p = z + 18; n = i + 15; t = n + 13; a = y + 7; y = t + 8; o = 3; i = f + 15; l = v + 4; f = o + 7; v = o + 14; g = x + 20; z = l + 4. If o = 3, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 8 to a, which gives a = t + 15.\n2. Substitute t = n + 13 to a, which gives a = n + 28.\n3. Substitute n = i + 15 to a, which gives a = i + 43.\n4. Substitute i = f + 15 to a, which gives a = f + 58.\n5. Substitute f = o + 7 to a, which gives a = o + 65.\n6. Substitute o = 3 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 1154,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 9; p = z + 18; n = i + 15; t = n + 13; a = y + 7; y = t + 8; o = 3; i = f + 15; l = v + 4; f = o + 7; v = o + 14; g = x + 20; z = l + 4. If o = 3, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 8", "k": "p + 12", "j": "k + 15", "u": "j + 6", "b": "u + 13", "l": "b + 8", "g": "d + 13", "a": "g + 13", "v": "a + 5", "s": "v + 18", "q": "s + 3", "t": "q + 7", "d": 16}, "premises": {"d": 16}, "target": "l"}, "answer": {"steps": [["b", "u + 13", "u + 21"], ["u", "j + 6", "j + 27"], ["j", "k + 15", "k + 42"], ["k", "p + 12", "p + 54"], ["p", "d + 8", "d + 62"], ["d", 16, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,155
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = b + 8; u = j + 6; k = p + 12; d = 16; t = q + 7; b = u + 13; a = g + 13; q = s + 3; j = k + 15; g = d + 13; s = v + 18; v = a + 5; p = d + 8. If d = 16, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 13 to l, which gives l = u + 21.\n2. Substitute u = j + 6 to l, which gives l = j + 27.\n3. Substitute j = k + 15 to l, which gives l = k + 42.\n4. Substitute k = p + 12 to l, which gives l = p + 54.\n5. Substitute p = d + 8 to l, which gives l = d + 62.\n6. Substitute d = 16 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 1155,
"question": "Consider a system of variables where each variable is defined as follows: l = b + 8; u = j + 6; k = p + 12; d = 16; t = q + 7; b = u + 13; a = g + 13; q = s + 3; j = k + 15; g = d + 13; s = v + 18; v = a + 5; p = d + 8. If d = 16, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 17", "v": "d + 4", "i": "v + 10", "h": "i + 9", "l": "h + 7", "k": "l + 20", "b": "t + 3", "e": "b + 11", "y": "e + 9", "s": "y + 14", "a": "s + 10", "r": "a + 14", "t": 18}, "premises": {"t": 18}, "target": "k"}, "answer": {"steps": [["l", "h + 7", "h + 27"], ["h", "i + 9", "i + 36"], ["i", "v + 10", "v + 46"], ["v", "d + 4", "d + 50"], ["d", "t + 17", "t + 67"], ["t", 18, "85"]], "target_var_name": "k", "target_value": 85, "value_dict": {"t": 18}, "is_reverse": true}}
| 1,156
| 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 = h + 7; r = a + 14; b = t + 3; y = e + 9; a = s + 10; h = i + 9; i = v + 10; k = l + 20; t = 18; s = y + 14; e = b + 11; d = t + 17; v = d + 4. If t = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 7 to k, which gives k = h + 27.\n2. Substitute h = i + 9 to k, which gives k = i + 36.\n3. Substitute i = v + 10 to k, which gives k = v + 46.\n4. Substitute v = d + 4 to k, which gives k = d + 50.\n5. Substitute d = t + 17 to k, which gives k = t + 67.\n6. Substitute t = 18 to k, which gives k = 85.\n\nThus, the final answer is k = \\boxed{85}.",
"index": 1156,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = h + 7; r = a + 14; b = t + 3; y = e + 9; a = s + 10; h = i + 9; i = v + 10; k = l + 20; t = 18; s = y + 14; e = b + 11; d = t + 17; v = d + 4. If t = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 2", "c": "h + 16", "w": "c + 17", "q": "w + 12", "m": "q + 15", "i": "m + 8", "o": "n + 3", "f": "o + 8", "g": "f + 16", "l": "g + 2", "j": "l + 3", "y": "j + 10", "n": 4}, "premises": {"n": 4}, "target": "i"}, "answer": {"steps": [["m", "q + 15", "q + 23"], ["q", "w + 12", "w + 35"], ["w", "c + 17", "c + 52"], ["c", "h + 16", "h + 68"], ["h", "n + 2", "n + 70"], ["n", 4, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"n": 4}, "is_reverse": true}}
| 1,157
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 3; c = h + 16; i = m + 8; j = l + 3; q = w + 12; m = q + 15; y = j + 10; w = c + 17; f = o + 8; n = 4; l = g + 2; g = f + 16; h = n + 2. If n = 4, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 15 to i, which gives i = q + 23.\n2. Substitute q = w + 12 to i, which gives i = w + 35.\n3. Substitute w = c + 17 to i, which gives i = c + 52.\n4. Substitute c = h + 16 to i, which gives i = h + 68.\n5. Substitute h = n + 2 to i, which gives i = n + 70.\n6. Substitute n = 4 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 1157,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 3; c = h + 16; i = m + 8; j = l + 3; q = w + 12; m = q + 15; y = j + 10; w = c + 17; f = o + 8; n = 4; l = g + 2; g = f + 16; h = n + 2. If n = 4, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 11", "n": "t + 18", "x": "n + 18", "g": "x + 8", "j": "g + 14", "h": "j + 13", "y": "s + 4", "w": "y + 17", "a": "w + 7", "v": "a + 4", "l": "v + 12", "e": "l + 18", "s": 20}, "premises": {"s": 20}, "target": "h"}, "answer": {"steps": [["j", "g + 14", "g + 27"], ["g", "x + 8", "x + 35"], ["x", "n + 18", "n + 53"], ["n", "t + 18", "t + 71"], ["t", "s + 11", "s + 82"], ["s", 20, "102"]], "target_var_name": "h", "target_value": 102, "value_dict": {"s": 20}, "is_reverse": true}}
| 1,158
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 8; v = a + 4; a = w + 7; j = g + 14; n = t + 18; w = y + 17; y = s + 4; x = n + 18; s = 20; e = l + 18; h = j + 13; t = s + 11; l = v + 12. Given that s = 20, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 14 to h, which gives h = g + 27.\n2. Substitute g = x + 8 to h, which gives h = x + 35.\n3. Substitute x = n + 18 to h, which gives h = n + 53.\n4. Substitute n = t + 18 to h, which gives h = t + 71.\n5. Substitute t = s + 11 to h, which gives h = s + 82.\n6. Substitute s = 20 to h, which gives h = 102.\n\nThus, the final answer is h = \\boxed{102}.",
"index": 1158,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 8; v = a + 4; a = w + 7; j = g + 14; n = t + 18; w = y + 17; y = s + 4; x = n + 18; s = 20; e = l + 18; h = j + 13; t = s + 11; l = v + 12. Given that s = 20, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 3", "v": "u + 10", "m": "v + 12", "f": "m + 7", "j": "f + 16", "a": "j + 17", "h": "g + 3", "x": "h + 13", "z": "x + 15", "i": "z + 18", "s": "i + 12", "r": "s + 20", "g": 7}, "premises": {"g": 7}, "target": "a"}, "answer": {"steps": [["j", "f + 16", "f + 33"], ["f", "m + 7", "m + 40"], ["m", "v + 12", "v + 52"], ["v", "u + 10", "u + 62"], ["u", "g + 3", "g + 65"], ["g", 7, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"g": 7}, "is_reverse": true}}
| 1,159
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = s + 20; i = z + 18; j = f + 16; f = m + 7; z = x + 15; s = i + 12; x = h + 13; a = j + 17; v = u + 10; m = v + 12; h = g + 3; g = 7; u = g + 3. Given that g = 7, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 16 to a, which gives a = f + 33.\n2. Substitute f = m + 7 to a, which gives a = m + 40.\n3. Substitute m = v + 12 to a, which gives a = v + 52.\n4. Substitute v = u + 10 to a, which gives a = u + 62.\n5. Substitute u = g + 3 to a, which gives a = g + 65.\n6. Substitute g = 7 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 1159,
"question": "Suppose a collection of variables is related by the following definitions: r = s + 20; i = z + 18; j = f + 16; f = m + 7; z = x + 15; s = i + 12; x = h + 13; a = j + 17; v = u + 10; m = v + 12; h = g + 3; g = 7; u = g + 3. Given that g = 7, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"m": "u + 5", "k": "m + 16", "t": "k + 2", "o": "t + 7", "g": "o + 10", "f": "g + 7", "y": "u + 2", "i": "y + 15", "c": "i + 3", "e": "c + 7", "s": "e + 15", "w": "s + 10", "u": 10}, "premises": {"u": 10}, "target": "f"}, "answer": {"steps": [["g", "o + 10", "o + 17"], ["o", "t + 7", "t + 24"], ["t", "k + 2", "k + 26"], ["k", "m + 16", "m + 42"], ["m", "u + 5", "u + 47"], ["u", 10, "57"]], "target_var_name": "f", "target_value": 57, "value_dict": {"u": 10}, "is_reverse": true}}
| 1,160
| 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 + 7; c = i + 3; y = u + 2; o = t + 7; k = m + 16; w = s + 10; m = u + 5; e = c + 7; u = 10; s = e + 15; t = k + 2; g = o + 10; i = y + 15. If u = 10, determine 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 g = o + 10 to f, which gives f = o + 17.\n2. Substitute o = t + 7 to f, which gives f = t + 24.\n3. Substitute t = k + 2 to f, which gives f = k + 26.\n4. Substitute k = m + 16 to f, which gives f = m + 42.\n5. Substitute m = u + 5 to f, which gives f = u + 47.\n6. Substitute u = 10 to f, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 1160,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 7; c = i + 3; y = u + 2; o = t + 7; k = m + 16; w = s + 10; m = u + 5; e = c + 7; u = 10; s = e + 15; t = k + 2; g = o + 10; i = y + 15. If u = 10, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 4", "s": "g + 18", "e": "s + 8", "i": "e + 12", "y": "i + 14", "u": "y + 20", "f": "b + 4", "q": "f + 13", "o": "q + 3", "j": "o + 13", "k": "j + 4", "l": "k + 7", "b": 7}, "premises": {"b": 7}, "target": "u"}, "answer": {"steps": [["y", "i + 14", "i + 34"], ["i", "e + 12", "e + 46"], ["e", "s + 8", "s + 54"], ["s", "g + 18", "g + 72"], ["g", "b + 4", "b + 76"], ["b", 7, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"b": 7}, "is_reverse": true}}
| 1,161
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = s + 8; k = j + 4; j = o + 13; g = b + 4; q = f + 13; s = g + 18; l = k + 7; b = 7; i = e + 12; y = i + 14; f = b + 4; o = q + 3; u = y + 20. If b = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 14 to u, which gives u = i + 34.\n2. Substitute i = e + 12 to u, which gives u = e + 46.\n3. Substitute e = s + 8 to u, which gives u = s + 54.\n4. Substitute s = g + 18 to u, which gives u = g + 72.\n5. Substitute g = b + 4 to u, which gives u = b + 76.\n6. Substitute b = 7 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 1161,
"question": "Consider a system of variables where each variable is defined as follows: e = s + 8; k = j + 4; j = o + 13; g = b + 4; q = f + 13; s = g + 18; l = k + 7; b = 7; i = e + 12; y = i + 14; f = b + 4; o = q + 3; u = y + 20. If b = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 1", "b": "r + 11", "h": "b + 17", "g": "h + 11", "a": "g + 19", "s": "a + 12", "e": "y + 15", "m": "e + 20", "d": "m + 19", "f": "d + 13", "w": "f + 19", "j": "w + 14", "y": 3}, "premises": {"y": 3}, "target": "s"}, "answer": {"steps": [["a", "g + 19", "g + 31"], ["g", "h + 11", "h + 42"], ["h", "b + 17", "b + 59"], ["b", "r + 11", "r + 70"], ["r", "y + 1", "y + 71"], ["y", 3, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"y": 3}, "is_reverse": true}}
| 1,162
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = y + 15; d = m + 19; g = h + 11; j = w + 14; y = 3; b = r + 11; w = f + 19; m = e + 20; r = y + 1; h = b + 17; s = a + 12; f = d + 13; a = g + 19. If y = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 19 to s, which gives s = g + 31.\n2. Substitute g = h + 11 to s, which gives s = h + 42.\n3. Substitute h = b + 17 to s, which gives s = b + 59.\n4. Substitute b = r + 11 to s, which gives s = r + 70.\n5. Substitute r = y + 1 to s, which gives s = y + 71.\n6. Substitute y = 3 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 1162,
"question": "Consider a system of variables where each variable is defined as follows: e = y + 15; d = m + 19; g = h + 11; j = w + 14; y = 3; b = r + 11; w = f + 19; m = e + 20; r = y + 1; h = b + 17; s = a + 12; f = d + 13; a = g + 19. If y = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 19", "r": "g + 12", "m": "r + 15", "a": "m + 17", "y": "a + 6", "s": "y + 8", "n": "l + 6", "u": "n + 7", "f": "u + 5", "q": "f + 12", "c": "q + 7", "i": "c + 2", "l": 18}, "premises": {"l": 18}, "target": "s"}, "answer": {"steps": [["y", "a + 6", "a + 14"], ["a", "m + 17", "m + 31"], ["m", "r + 15", "r + 46"], ["r", "g + 12", "g + 58"], ["g", "l + 19", "l + 77"], ["l", 18, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"l": 18}, "is_reverse": true}}
| 1,163
| 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 = 18; r = g + 12; u = n + 7; g = l + 19; y = a + 6; f = u + 5; n = l + 6; a = m + 17; m = r + 15; i = c + 2; q = f + 12; c = q + 7; s = y + 8. If l = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 6 to s, which gives s = a + 14.\n2. Substitute a = m + 17 to s, which gives s = m + 31.\n3. Substitute m = r + 15 to s, which gives s = r + 46.\n4. Substitute r = g + 12 to s, which gives s = g + 58.\n5. Substitute g = l + 19 to s, which gives s = l + 77.\n6. Substitute l = 18 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 1163,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 18; r = g + 12; u = n + 7; g = l + 19; y = a + 6; f = u + 5; n = l + 6; a = m + 17; m = r + 15; i = c + 2; q = f + 12; c = q + 7; s = y + 8. If l = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 7", "r": "q + 16", "w": "r + 1", "p": "w + 7", "g": "p + 7", "x": "g + 20", "n": "t + 10", "m": "n + 17", "k": "m + 4", "d": "k + 6", "s": "d + 8", "y": "s + 1", "t": 16}, "premises": {"t": 16}, "target": "x"}, "answer": {"steps": [["g", "p + 7", "p + 27"], ["p", "w + 7", "w + 34"], ["w", "r + 1", "r + 35"], ["r", "q + 16", "q + 51"], ["q", "t + 7", "t + 58"], ["t", 16, "74"]], "target_var_name": "x", "target_value": 74, "value_dict": {"t": 16}, "is_reverse": true}}
| 1,164
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 10; d = k + 6; m = n + 17; p = w + 7; k = m + 4; r = q + 16; y = s + 1; w = r + 1; t = 16; g = p + 7; x = g + 20; q = t + 7; s = d + 8. If t = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 7 to x, which gives x = p + 27.\n2. Substitute p = w + 7 to x, which gives x = w + 34.\n3. Substitute w = r + 1 to x, which gives x = r + 35.\n4. Substitute r = q + 16 to x, which gives x = q + 51.\n5. Substitute q = t + 7 to x, which gives x = t + 58.\n6. Substitute t = 16 to x, which gives x = 74.\n\nThus, the final answer is x = \\boxed{74}.",
"index": 1164,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = t + 10; d = k + 6; m = n + 17; p = w + 7; k = m + 4; r = q + 16; y = s + 1; w = r + 1; t = 16; g = p + 7; x = g + 20; q = t + 7; s = d + 8. If t = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"y": "r + 8", "g": "y + 16", "k": "g + 18", "n": "k + 15", "a": "n + 13", "p": "a + 17", "h": "r + 10", "v": "h + 2", "u": "v + 19", "l": "u + 7", "e": "l + 13", "o": "e + 13", "r": 8}, "premises": {"r": 8}, "target": "p"}, "answer": {"steps": [["a", "n + 13", "n + 30"], ["n", "k + 15", "k + 45"], ["k", "g + 18", "g + 63"], ["g", "y + 16", "y + 79"], ["y", "r + 8", "r + 87"], ["r", 8, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"r": 8}, "is_reverse": true}}
| 1,165
| 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 = k + 15; r = 8; g = y + 16; l = u + 7; p = a + 17; e = l + 13; a = n + 13; y = r + 8; k = g + 18; v = h + 2; o = e + 13; u = v + 19; h = r + 10. If r = 8, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 13 to p, which gives p = n + 30.\n2. Substitute n = k + 15 to p, which gives p = k + 45.\n3. Substitute k = g + 18 to p, which gives p = g + 63.\n4. Substitute g = y + 16 to p, which gives p = y + 79.\n5. Substitute y = r + 8 to p, which gives p = r + 87.\n6. Substitute r = 8 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 1165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 15; r = 8; g = y + 16; l = u + 7; p = a + 17; e = l + 13; a = n + 13; y = r + 8; k = g + 18; v = h + 2; o = e + 13; u = v + 19; h = r + 10. If r = 8, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"j": "c + 16", "x": "j + 14", "r": "x + 4", "b": "r + 19", "y": "b + 15", "t": "y + 15", "q": "c + 2", "h": "q + 17", "s": "h + 16", "k": "s + 4", "f": "k + 15", "v": "f + 13", "c": 4}, "premises": {"c": 4}, "target": "t"}, "answer": {"steps": [["y", "b + 15", "b + 30"], ["b", "r + 19", "r + 49"], ["r", "x + 4", "x + 53"], ["x", "j + 14", "j + 67"], ["j", "c + 16", "c + 83"], ["c", 4, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"c": 4}, "is_reverse": true}}
| 1,166
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 15; y = b + 15; j = c + 16; b = r + 19; k = s + 4; v = f + 13; f = k + 15; q = c + 2; s = h + 16; c = 4; x = j + 14; r = x + 4; h = q + 17. If c = 4, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 15 to t, which gives t = b + 30.\n2. Substitute b = r + 19 to t, which gives t = r + 49.\n3. Substitute r = x + 4 to t, which gives t = x + 53.\n4. Substitute x = j + 14 to t, which gives t = j + 67.\n5. Substitute j = c + 16 to t, which gives t = c + 83.\n6. Substitute c = 4 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 1166,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = y + 15; y = b + 15; j = c + 16; b = r + 19; k = s + 4; v = f + 13; f = k + 15; q = c + 2; s = h + 16; c = 4; x = j + 14; r = x + 4; h = q + 17. If c = 4, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 4", "t": "l + 5", "n": "t + 18", "i": "n + 9", "h": "i + 4", "o": "h + 19", "z": "w + 16", "b": "z + 1", "p": "b + 1", "x": "p + 10", "m": "x + 20", "v": "m + 13", "w": 14}, "premises": {"w": 14}, "target": "o"}, "answer": {"steps": [["h", "i + 4", "i + 23"], ["i", "n + 9", "n + 32"], ["n", "t + 18", "t + 50"], ["t", "l + 5", "l + 55"], ["l", "w + 4", "w + 59"], ["w", 14, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"w": 14}, "is_reverse": true}}
| 1,167
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 1; n = t + 18; o = h + 19; x = p + 10; w = 14; p = b + 1; m = x + 20; l = w + 4; i = n + 9; z = w + 16; h = i + 4; t = l + 5; v = m + 13. If w = 14, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 4 to o, which gives o = i + 23.\n2. Substitute i = n + 9 to o, which gives o = n + 32.\n3. Substitute n = t + 18 to o, which gives o = t + 50.\n4. Substitute t = l + 5 to o, which gives o = l + 55.\n5. Substitute l = w + 4 to o, which gives o = w + 59.\n6. Substitute w = 14 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 1167,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = z + 1; n = t + 18; o = h + 19; x = p + 10; w = 14; p = b + 1; m = x + 20; l = w + 4; i = n + 9; z = w + 16; h = i + 4; t = l + 5; v = m + 13. If w = 14, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"u": "q + 2", "y": "u + 2", "t": "y + 7", "d": "t + 7", "r": "d + 5", "i": "r + 13", "x": "q + 10", "n": "x + 20", "o": "n + 16", "m": "o + 3", "g": "m + 18", "w": "g + 18", "q": 13}, "premises": {"q": 13}, "target": "i"}, "answer": {"steps": [["r", "d + 5", "d + 18"], ["d", "t + 7", "t + 25"], ["t", "y + 7", "y + 32"], ["y", "u + 2", "u + 34"], ["u", "q + 2", "q + 36"], ["q", 13, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"q": 13}, "is_reverse": true}}
| 1,168
| 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 = m + 18; w = g + 18; n = x + 20; q = 13; d = t + 7; y = u + 2; r = d + 5; i = r + 13; u = q + 2; t = y + 7; m = o + 3; x = q + 10; o = n + 16. If q = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 5 to i, which gives i = d + 18.\n2. Substitute d = t + 7 to i, which gives i = t + 25.\n3. Substitute t = y + 7 to i, which gives i = y + 32.\n4. Substitute y = u + 2 to i, which gives i = u + 34.\n5. Substitute u = q + 2 to i, which gives i = q + 36.\n6. Substitute q = 13 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 1168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = m + 18; w = g + 18; n = x + 20; q = 13; d = t + 7; y = u + 2; r = d + 5; i = r + 13; u = q + 2; t = y + 7; m = o + 3; x = q + 10; o = n + 16. If q = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 10", "y": "z + 17", "c": "y + 1", "s": "c + 14", "d": "s + 11", "r": "d + 13", "u": "t + 2", "f": "u + 10", "j": "f + 1", "h": "j + 17", "p": "h + 16", "a": "p + 16", "t": 9}, "premises": {"t": 9}, "target": "r"}, "answer": {"steps": [["d", "s + 11", "s + 24"], ["s", "c + 14", "c + 38"], ["c", "y + 1", "y + 39"], ["y", "z + 17", "z + 56"], ["z", "t + 10", "t + 66"], ["t", 9, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"t": 9}, "is_reverse": true}}
| 1,169
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 16; j = f + 1; y = z + 17; t = 9; s = c + 14; d = s + 11; f = u + 10; u = t + 2; p = h + 16; z = t + 10; h = j + 17; r = d + 13; c = y + 1. If t = 9, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 11 to r, which gives r = s + 24.\n2. Substitute s = c + 14 to r, which gives r = c + 38.\n3. Substitute c = y + 1 to r, which gives r = y + 39.\n4. Substitute y = z + 17 to r, which gives r = z + 56.\n5. Substitute z = t + 10 to r, which gives r = t + 66.\n6. Substitute t = 9 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 1169,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = p + 16; j = f + 1; y = z + 17; t = 9; s = c + 14; d = s + 11; f = u + 10; u = t + 2; p = h + 16; z = t + 10; h = j + 17; r = d + 13; c = y + 1. If t = 9, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 11", "d": "z + 8", "b": "d + 8", "v": "b + 12", "q": "v + 14", "f": "q + 14", "s": "p + 5", "k": "s + 9", "l": "k + 6", "u": "l + 17", "w": "u + 16", "a": "w + 12", "p": 15}, "premises": {"p": 15}, "target": "f"}, "answer": {"steps": [["q", "v + 14", "v + 28"], ["v", "b + 12", "b + 40"], ["b", "d + 8", "d + 48"], ["d", "z + 8", "z + 56"], ["z", "p + 11", "p + 67"], ["p", 15, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"p": 15}, "is_reverse": true}}
| 1,170
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = s + 9; p = 15; b = d + 8; v = b + 12; a = w + 12; s = p + 5; z = p + 11; q = v + 14; l = k + 6; d = z + 8; w = u + 16; f = q + 14; u = l + 17. Given that p = 15, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 14 to f, which gives f = v + 28.\n2. Substitute v = b + 12 to f, which gives f = b + 40.\n3. Substitute b = d + 8 to f, which gives f = d + 48.\n4. Substitute d = z + 8 to f, which gives f = z + 56.\n5. Substitute z = p + 11 to f, which gives f = p + 67.\n6. Substitute p = 15 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 1170,
"question": "Suppose a collection of variables is related by the following definitions: k = s + 9; p = 15; b = d + 8; v = b + 12; a = w + 12; s = p + 5; z = p + 11; q = v + 14; l = k + 6; d = z + 8; w = u + 16; f = q + 14; u = l + 17. Given that p = 15, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 11", "q": "l + 4", "w": "q + 2", "s": "w + 10", "u": "s + 17", "b": "u + 18", "h": "g + 9", "m": "h + 20", "p": "m + 12", "x": "p + 3", "a": "x + 18", "j": "a + 5", "g": 20}, "premises": {"g": 20}, "target": "b"}, "answer": {"steps": [["u", "s + 17", "s + 35"], ["s", "w + 10", "w + 45"], ["w", "q + 2", "q + 47"], ["q", "l + 4", "l + 51"], ["l", "g + 11", "g + 62"], ["g", 20, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"g": 20}, "is_reverse": true}}
| 1,171
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 9; p = m + 12; j = a + 5; x = p + 3; b = u + 18; u = s + 17; q = l + 4; w = q + 2; l = g + 11; a = x + 18; m = h + 20; g = 20; s = w + 10. If g = 20, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = s + 17 to b, which gives b = s + 35.\n2. Substitute s = w + 10 to b, which gives b = w + 45.\n3. Substitute w = q + 2 to b, which gives b = q + 47.\n4. Substitute q = l + 4 to b, which gives b = l + 51.\n5. Substitute l = g + 11 to b, which gives b = g + 62.\n6. Substitute g = 20 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 1171,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 9; p = m + 12; j = a + 5; x = p + 3; b = u + 18; u = s + 17; q = l + 4; w = q + 2; l = g + 11; a = x + 18; m = h + 20; g = 20; s = w + 10. If g = 20, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 5", "o": "f + 2", "q": "o + 6", "d": "q + 14", "p": "d + 16", "a": "p + 5", "z": "h + 10", "e": "z + 14", "m": "e + 9", "s": "m + 3", "j": "s + 19", "x": "j + 11", "h": 15}, "premises": {"h": 15}, "target": "a"}, "answer": {"steps": [["p", "d + 16", "d + 21"], ["d", "q + 14", "q + 35"], ["q", "o + 6", "o + 41"], ["o", "f + 2", "f + 43"], ["f", "h + 5", "h + 48"], ["h", 15, "63"]], "target_var_name": "a", "target_value": 63, "value_dict": {"h": 15}, "is_reverse": true}}
| 1,172
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = m + 3; d = q + 14; p = d + 16; a = p + 5; m = e + 9; z = h + 10; q = o + 6; x = j + 11; f = h + 5; j = s + 19; h = 15; e = z + 14; o = f + 2. Given that h = 15, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 16 to a, which gives a = d + 21.\n2. Substitute d = q + 14 to a, which gives a = q + 35.\n3. Substitute q = o + 6 to a, which gives a = o + 41.\n4. Substitute o = f + 2 to a, which gives a = f + 43.\n5. Substitute f = h + 5 to a, which gives a = h + 48.\n6. Substitute h = 15 to a, which gives a = 63.\n\nThus, the final answer is a = \\boxed{63}.",
"index": 1172,
"question": "Suppose a collection of variables is related by the following definitions: s = m + 3; d = q + 14; p = d + 16; a = p + 5; m = e + 9; z = h + 10; q = o + 6; x = j + 11; f = h + 5; j = s + 19; h = 15; e = z + 14; o = f + 2. Given that h = 15, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 16", "o": "w + 19", "x": "o + 11", "q": "x + 8", "f": "q + 13", "c": "f + 8", "v": "b + 1", "r": "v + 4", "n": "r + 3", "y": "n + 3", "a": "y + 9", "t": "a + 11", "b": 17}, "premises": {"b": 17}, "target": "c"}, "answer": {"steps": [["f", "q + 13", "q + 21"], ["q", "x + 8", "x + 29"], ["x", "o + 11", "o + 40"], ["o", "w + 19", "w + 59"], ["w", "b + 16", "b + 75"], ["b", 17, "92"]], "target_var_name": "c", "target_value": 92, "value_dict": {"b": 17}, "is_reverse": true}}
| 1,173
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = f + 8; a = y + 9; o = w + 19; n = r + 3; b = 17; r = v + 4; w = b + 16; v = b + 1; t = a + 11; f = q + 13; q = x + 8; y = n + 3; x = o + 11. Given that b = 17, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 13 to c, which gives c = q + 21.\n2. Substitute q = x + 8 to c, which gives c = x + 29.\n3. Substitute x = o + 11 to c, which gives c = o + 40.\n4. Substitute o = w + 19 to c, which gives c = w + 59.\n5. Substitute w = b + 16 to c, which gives c = b + 75.\n6. Substitute b = 17 to c, which gives c = 92.\n\nThus, the final answer is c = \\boxed{92}.",
"index": 1173,
"question": "Suppose a collection of variables is related by the following definitions: c = f + 8; a = y + 9; o = w + 19; n = r + 3; b = 17; r = v + 4; w = b + 16; v = b + 1; t = a + 11; f = q + 13; q = x + 8; y = n + 3; x = o + 11. Given that b = 17, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 9", "b": "u + 17", "j": "b + 17", "n": "j + 8", "o": "n + 19", "m": "o + 2", "g": "y + 2", "x": "g + 4", "t": "x + 6", "w": "t + 4", "a": "w + 4", "h": "a + 4", "y": 13}, "premises": {"y": 13}, "target": "m"}, "answer": {"steps": [["o", "n + 19", "n + 21"], ["n", "j + 8", "j + 29"], ["j", "b + 17", "b + 46"], ["b", "u + 17", "u + 63"], ["u", "y + 9", "y + 72"], ["y", 13, "85"]], "target_var_name": "m", "target_value": 85, "value_dict": {"y": 13}, "is_reverse": true}}
| 1,174
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 2; w = t + 4; j = b + 17; u = y + 9; t = x + 6; o = n + 19; x = g + 4; n = j + 8; y = 13; h = a + 4; a = w + 4; g = y + 2; b = u + 17. Given that y = 13, 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 o = n + 19 to m, which gives m = n + 21.\n2. Substitute n = j + 8 to m, which gives m = j + 29.\n3. Substitute j = b + 17 to m, which gives m = b + 46.\n4. Substitute b = u + 17 to m, which gives m = u + 63.\n5. Substitute u = y + 9 to m, which gives m = y + 72.\n6. Substitute y = 13 to m, which gives m = 85.\n\nThus, the final answer is m = \\boxed{85}.",
"index": 1174,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 2; w = t + 4; j = b + 17; u = y + 9; t = x + 6; o = n + 19; x = g + 4; n = j + 8; y = 13; h = a + 4; a = w + 4; g = y + 2; b = u + 17. Given that y = 13, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"q": "g + 5", "x": "q + 8", "z": "x + 4", "t": "z + 20", "l": "t + 5", "k": "l + 4", "y": "g + 5", "n": "y + 13", "r": "n + 1", "f": "r + 2", "i": "f + 6", "h": "i + 16", "g": 6}, "premises": {"g": 6}, "target": "k"}, "answer": {"steps": [["l", "t + 5", "t + 9"], ["t", "z + 20", "z + 29"], ["z", "x + 4", "x + 33"], ["x", "q + 8", "q + 41"], ["q", "g + 5", "g + 46"], ["g", 6, "52"]], "target_var_name": "k", "target_value": 52, "value_dict": {"g": 6}, "is_reverse": true}}
| 1,175
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 16; t = z + 20; z = x + 4; l = t + 5; q = g + 5; y = g + 5; r = n + 1; g = 6; k = l + 4; n = y + 13; i = f + 6; x = q + 8; f = r + 2. Given that g = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 5 to k, which gives k = t + 9.\n2. Substitute t = z + 20 to k, which gives k = z + 29.\n3. Substitute z = x + 4 to k, which gives k = x + 33.\n4. Substitute x = q + 8 to k, which gives k = q + 41.\n5. Substitute q = g + 5 to k, which gives k = g + 46.\n6. Substitute g = 6 to k, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 1175,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 16; t = z + 20; z = x + 4; l = t + 5; q = g + 5; y = g + 5; r = n + 1; g = 6; k = l + 4; n = y + 13; i = f + 6; x = q + 8; f = r + 2. Given that g = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 2", "z": "m + 4", "e": "z + 19", "w": "e + 16", "h": "w + 16", "s": "h + 10", "c": "p + 2", "f": "c + 11", "b": "f + 6", "j": "b + 10", "r": "j + 7", "x": "r + 9", "p": 2}, "premises": {"p": 2}, "target": "s"}, "answer": {"steps": [["h", "w + 16", "w + 26"], ["w", "e + 16", "e + 42"], ["e", "z + 19", "z + 61"], ["z", "m + 4", "m + 65"], ["m", "p + 2", "p + 67"], ["p", 2, "69"]], "target_var_name": "s", "target_value": 69, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,176
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 11; s = h + 10; b = f + 6; w = e + 16; j = b + 10; h = w + 16; r = j + 7; m = p + 2; e = z + 19; x = r + 9; p = 2; c = p + 2; z = m + 4. If p = 2, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 16 to s, which gives s = w + 26.\n2. Substitute w = e + 16 to s, which gives s = e + 42.\n3. Substitute e = z + 19 to s, which gives s = z + 61.\n4. Substitute z = m + 4 to s, which gives s = m + 65.\n5. Substitute m = p + 2 to s, which gives s = p + 67.\n6. Substitute p = 2 to s, which gives s = 69.\n\nThus, the final answer is s = \\boxed{69}.",
"index": 1176,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 11; s = h + 10; b = f + 6; w = e + 16; j = b + 10; h = w + 16; r = j + 7; m = p + 2; e = z + 19; x = r + 9; p = 2; c = p + 2; z = m + 4. If p = 2, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 5", "k": "s + 14", "g": "k + 9", "p": "g + 14", "v": "p + 11", "x": "v + 5", "o": "c + 2", "j": "o + 16", "u": "j + 18", "l": "u + 12", "d": "l + 5", "e": "d + 18", "c": 7}, "premises": {"c": 7}, "target": "x"}, "answer": {"steps": [["v", "p + 11", "p + 16"], ["p", "g + 14", "g + 30"], ["g", "k + 9", "k + 39"], ["k", "s + 14", "s + 53"], ["s", "c + 5", "c + 58"], ["c", 7, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"c": 7}, "is_reverse": true}}
| 1,177
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 16; p = g + 14; e = d + 18; v = p + 11; c = 7; g = k + 9; k = s + 14; o = c + 2; d = l + 5; u = j + 18; s = c + 5; l = u + 12; x = v + 5. Given that c = 7, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 11 to x, which gives x = p + 16.\n2. Substitute p = g + 14 to x, which gives x = g + 30.\n3. Substitute g = k + 9 to x, which gives x = k + 39.\n4. Substitute k = s + 14 to x, which gives x = s + 53.\n5. Substitute s = c + 5 to x, which gives x = c + 58.\n6. Substitute c = 7 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 1177,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 16; p = g + 14; e = d + 18; v = p + 11; c = 7; g = k + 9; k = s + 14; o = c + 2; d = l + 5; u = j + 18; s = c + 5; l = u + 12; x = v + 5. Given that c = 7, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 16", "l": "y + 2", "x": "l + 10", "w": "x + 7", "a": "w + 9", "p": "a + 2", "j": "t + 2", "q": "j + 10", "z": "q + 17", "e": "z + 15", "o": "e + 2", "m": "o + 1", "t": 9}, "premises": {"t": 9}, "target": "p"}, "answer": {"steps": [["a", "w + 9", "w + 11"], ["w", "x + 7", "x + 18"], ["x", "l + 10", "l + 28"], ["l", "y + 2", "y + 30"], ["y", "t + 16", "t + 46"], ["t", 9, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"t": 9}, "is_reverse": true}}
| 1,178
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 16; o = e + 2; a = w + 9; l = y + 2; p = a + 2; w = x + 7; e = z + 15; z = q + 17; j = t + 2; m = o + 1; x = l + 10; q = j + 10; t = 9. If t = 9, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = w + 9 to p, which gives p = w + 11.\n2. Substitute w = x + 7 to p, which gives p = x + 18.\n3. Substitute x = l + 10 to p, which gives p = l + 28.\n4. Substitute l = y + 2 to p, which gives p = y + 30.\n5. Substitute y = t + 16 to p, which gives p = t + 46.\n6. Substitute t = 9 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 1178,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 16; o = e + 2; a = w + 9; l = y + 2; p = a + 2; w = x + 7; e = z + 15; z = q + 17; j = t + 2; m = o + 1; x = l + 10; q = j + 10; t = 9. If t = 9, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "y + 17", "r": "j + 12", "l": "r + 12", "h": "l + 7", "v": "h + 7", "i": "v + 8", "o": "y + 12", "s": "o + 4", "p": "s + 1", "x": "p + 19", "w": "x + 13", "b": "w + 17", "y": 18}, "premises": {"y": 18}, "target": "i"}, "answer": {"steps": [["v", "h + 7", "h + 15"], ["h", "l + 7", "l + 22"], ["l", "r + 12", "r + 34"], ["r", "j + 12", "j + 46"], ["j", "y + 17", "y + 63"], ["y", 18, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"y": 18}, "is_reverse": true}}
| 1,179
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 1; j = y + 17; l = r + 12; h = l + 7; y = 18; x = p + 19; o = y + 12; v = h + 7; i = v + 8; w = x + 13; r = j + 12; s = o + 4; b = w + 17. If y = 18, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = h + 7 to i, which gives i = h + 15.\n2. Substitute h = l + 7 to i, which gives i = l + 22.\n3. Substitute l = r + 12 to i, which gives i = r + 34.\n4. Substitute r = j + 12 to i, which gives i = j + 46.\n5. Substitute j = y + 17 to i, which gives i = y + 63.\n6. Substitute y = 18 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 1179,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = s + 1; j = y + 17; l = r + 12; h = l + 7; y = 18; x = p + 19; o = y + 12; v = h + 7; i = v + 8; w = x + 13; r = j + 12; s = o + 4; b = w + 17. If y = 18, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "y + 12", "n": "t + 4", "g": "n + 19", "b": "g + 6", "w": "b + 6", "k": "w + 19", "c": "y + 13", "i": "c + 13", "f": "i + 4", "p": "f + 19", "d": "p + 10", "s": "d + 12", "y": 11}, "premises": {"y": 11}, "target": "k"}, "answer": {"steps": [["w", "b + 6", "b + 25"], ["b", "g + 6", "g + 31"], ["g", "n + 19", "n + 50"], ["n", "t + 4", "t + 54"], ["t", "y + 12", "y + 66"], ["y", 11, "77"]], "target_var_name": "k", "target_value": 77, "value_dict": {"y": 11}, "is_reverse": true}}
| 1,180
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 6; y = 11; p = f + 19; g = n + 19; s = d + 12; t = y + 12; w = b + 6; k = w + 19; c = y + 13; n = t + 4; d = p + 10; f = i + 4; i = c + 13. If y = 11, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 6 to k, which gives k = b + 25.\n2. Substitute b = g + 6 to k, which gives k = g + 31.\n3. Substitute g = n + 19 to k, which gives k = n + 50.\n4. Substitute n = t + 4 to k, which gives k = t + 54.\n5. Substitute t = y + 12 to k, which gives k = y + 66.\n6. Substitute y = 11 to k, which gives k = 77.\n\nThus, the final answer is k = \\boxed{77}.",
"index": 1180,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 6; y = 11; p = f + 19; g = n + 19; s = d + 12; t = y + 12; w = b + 6; k = w + 19; c = y + 13; n = t + 4; d = p + 10; f = i + 4; i = c + 13. If y = 11, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 12", "z": "x + 19", "t": "z + 18", "u": "t + 8", "j": "u + 5", "a": "j + 5", "v": "e + 8", "k": "v + 18", "d": "k + 2", "p": "d + 19", "o": "p + 4", "n": "o + 2", "e": 19}, "premises": {"e": 19}, "target": "a"}, "answer": {"steps": [["j", "u + 5", "u + 10"], ["u", "t + 8", "t + 18"], ["t", "z + 18", "z + 36"], ["z", "x + 19", "x + 55"], ["x", "e + 12", "e + 67"], ["e", 19, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"e": 19}, "is_reverse": true}}
| 1,181
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = e + 8; z = x + 19; o = p + 4; e = 19; p = d + 19; t = z + 18; d = k + 2; n = o + 2; x = e + 12; a = j + 5; j = u + 5; u = t + 8; k = v + 18. If e = 19, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 5 to a, which gives a = u + 10.\n2. Substitute u = t + 8 to a, which gives a = t + 18.\n3. Substitute t = z + 18 to a, which gives a = z + 36.\n4. Substitute z = x + 19 to a, which gives a = x + 55.\n5. Substitute x = e + 12 to a, which gives a = e + 67.\n6. Substitute e = 19 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 1181,
"question": "Consider a system of variables where each variable is defined as follows: v = e + 8; z = x + 19; o = p + 4; e = 19; p = d + 19; t = z + 18; d = k + 2; n = o + 2; x = e + 12; a = j + 5; j = u + 5; u = t + 8; k = v + 18. If e = 19, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 4", "f": "z + 16", "q": "f + 7", "h": "q + 9", "b": "h + 15", "e": "b + 7", "p": "u + 18", "n": "p + 15", "r": "n + 3", "c": "r + 18", "m": "c + 9", "j": "m + 15", "u": 5}, "premises": {"u": 5}, "target": "e"}, "answer": {"steps": [["b", "h + 15", "h + 22"], ["h", "q + 9", "q + 31"], ["q", "f + 7", "f + 38"], ["f", "z + 16", "z + 54"], ["z", "u + 4", "u + 58"], ["u", 5, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"u": 5}, "is_reverse": true}}
| 1,182
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 9; b = h + 15; n = p + 15; u = 5; z = u + 4; h = q + 9; e = b + 7; f = z + 16; p = u + 18; c = r + 18; q = f + 7; j = m + 15; r = n + 3. If u = 5, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = h + 15 to e, which gives e = h + 22.\n2. Substitute h = q + 9 to e, which gives e = q + 31.\n3. Substitute q = f + 7 to e, which gives e = f + 38.\n4. Substitute f = z + 16 to e, which gives e = z + 54.\n5. Substitute z = u + 4 to e, which gives e = u + 58.\n6. Substitute u = 5 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 1182,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 9; b = h + 15; n = p + 15; u = 5; z = u + 4; h = q + 9; e = b + 7; f = z + 16; p = u + 18; c = r + 18; q = f + 7; j = m + 15; r = n + 3. If u = 5, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 7", "g": "x + 3", "a": "g + 10", "v": "a + 14", "l": "v + 13", "m": "l + 17", "e": "u + 17", "r": "e + 20", "t": "r + 10", "o": "t + 16", "w": "o + 4", "d": "w + 18", "u": 20}, "premises": {"u": 20}, "target": "m"}, "answer": {"steps": [["l", "v + 13", "v + 30"], ["v", "a + 14", "a + 44"], ["a", "g + 10", "g + 54"], ["g", "x + 3", "x + 57"], ["x", "u + 7", "u + 64"], ["u", 20, "84"]], "target_var_name": "m", "target_value": 84, "value_dict": {"u": 20}, "is_reverse": true}}
| 1,183
| 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 = x + 3; v = a + 14; m = l + 17; d = w + 18; e = u + 17; o = t + 16; u = 20; r = e + 20; t = r + 10; a = g + 10; w = o + 4; l = v + 13; x = u + 7. If u = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 13 to m, which gives m = v + 30.\n2. Substitute v = a + 14 to m, which gives m = a + 44.\n3. Substitute a = g + 10 to m, which gives m = g + 54.\n4. Substitute g = x + 3 to m, which gives m = x + 57.\n5. Substitute x = u + 7 to m, which gives m = u + 64.\n6. Substitute u = 20 to m, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 1183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 3; v = a + 14; m = l + 17; d = w + 18; e = u + 17; o = t + 16; u = 20; r = e + 20; t = r + 10; a = g + 10; w = o + 4; l = v + 13; x = u + 7. If u = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 6", "m": "c + 5", "q": "m + 17", "y": "q + 1", "t": "y + 5", "v": "t + 20", "z": "x + 8", "j": "z + 12", "l": "j + 6", "g": "l + 14", "f": "g + 15", "o": "f + 14", "x": 18}, "premises": {"x": 18}, "target": "v"}, "answer": {"steps": [["t", "y + 5", "y + 25"], ["y", "q + 1", "q + 26"], ["q", "m + 17", "m + 43"], ["m", "c + 5", "c + 48"], ["c", "x + 6", "x + 54"], ["x", 18, "72"]], "target_var_name": "v", "target_value": 72, "value_dict": {"x": 18}, "is_reverse": true}}
| 1,184
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 1; f = g + 15; l = j + 6; j = z + 12; q = m + 17; z = x + 8; m = c + 5; o = f + 14; t = y + 5; v = t + 20; x = 18; c = x + 6; g = l + 14. If x = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 5 to v, which gives v = y + 25.\n2. Substitute y = q + 1 to v, which gives v = q + 26.\n3. Substitute q = m + 17 to v, which gives v = m + 43.\n4. Substitute m = c + 5 to v, which gives v = c + 48.\n5. Substitute c = x + 6 to v, which gives v = x + 54.\n6. Substitute x = 18 to v, which gives v = 72.\n\nThus, the final answer is v = \\boxed{72}.",
"index": 1184,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = q + 1; f = g + 15; l = j + 6; j = z + 12; q = m + 17; z = x + 8; m = c + 5; o = f + 14; t = y + 5; v = t + 20; x = 18; c = x + 6; g = l + 14. If x = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"v": "u + 7", "b": "v + 4", "j": "b + 12", "n": "j + 13", "o": "n + 2", "w": "o + 9", "a": "u + 19", "x": "a + 8", "r": "x + 3", "c": "r + 18", "k": "c + 20", "d": "k + 1", "u": 19}, "premises": {"u": 19}, "target": "w"}, "answer": {"steps": [["o", "n + 2", "n + 11"], ["n", "j + 13", "j + 24"], ["j", "b + 12", "b + 36"], ["b", "v + 4", "v + 40"], ["v", "u + 7", "u + 47"], ["u", 19, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"u": 19}, "is_reverse": true}}
| 1,185
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 12; o = n + 2; k = c + 20; x = a + 8; v = u + 7; c = r + 18; b = v + 4; u = 19; n = j + 13; w = o + 9; r = x + 3; d = k + 1; a = u + 19. If u = 19, determine the 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 o = n + 2 to w, which gives w = n + 11.\n2. Substitute n = j + 13 to w, which gives w = j + 24.\n3. Substitute j = b + 12 to w, which gives w = b + 36.\n4. Substitute b = v + 4 to w, which gives w = v + 40.\n5. Substitute v = u + 7 to w, which gives w = u + 47.\n6. Substitute u = 19 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 1185,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 12; o = n + 2; k = c + 20; x = a + 8; v = u + 7; c = r + 18; b = v + 4; u = 19; n = j + 13; w = o + 9; r = x + 3; d = k + 1; a = u + 19. If u = 19, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "h + 15", "u": "l + 2", "w": "u + 18", "b": "w + 10", "p": "b + 12", "r": "p + 5", "k": "h + 1", "o": "k + 20", "d": "o + 3", "c": "d + 3", "z": "c + 12", "i": "z + 16", "h": 14}, "premises": {"h": 14}, "target": "r"}, "answer": {"steps": [["p", "b + 12", "b + 17"], ["b", "w + 10", "w + 27"], ["w", "u + 18", "u + 45"], ["u", "l + 2", "l + 47"], ["l", "h + 15", "h + 62"], ["h", 14, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"h": 14}, "is_reverse": true}}
| 1,186
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = 14; u = l + 2; r = p + 5; d = o + 3; c = d + 3; l = h + 15; b = w + 10; w = u + 18; o = k + 20; z = c + 12; i = z + 16; p = b + 12; k = h + 1. Given that h = 14, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 12 to r, which gives r = b + 17.\n2. Substitute b = w + 10 to r, which gives r = w + 27.\n3. Substitute w = u + 18 to r, which gives r = u + 45.\n4. Substitute u = l + 2 to r, which gives r = l + 47.\n5. Substitute l = h + 15 to r, which gives r = h + 62.\n6. Substitute h = 14 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 1186,
"question": "Suppose a collection of variables is related by the following definitions: h = 14; u = l + 2; r = p + 5; d = o + 3; c = d + 3; l = h + 15; b = w + 10; w = u + 18; o = k + 20; z = c + 12; i = z + 16; p = b + 12; k = h + 1. Given that h = 14, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 2", "o": "m + 20", "p": "o + 10", "t": "p + 12", "v": "t + 18", "k": "v + 16", "n": "r + 16", "c": "n + 15", "b": "c + 10", "x": "b + 9", "a": "x + 6", "u": "a + 3", "r": 19}, "premises": {"r": 19}, "target": "k"}, "answer": {"steps": [["v", "t + 18", "t + 34"], ["t", "p + 12", "p + 46"], ["p", "o + 10", "o + 56"], ["o", "m + 20", "m + 76"], ["m", "r + 2", "r + 78"], ["r", 19, "97"]], "target_var_name": "k", "target_value": 97, "value_dict": {"r": 19}, "is_reverse": true}}
| 1,187
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 9; n = r + 16; t = p + 12; p = o + 10; c = n + 15; o = m + 20; b = c + 10; r = 19; a = x + 6; u = a + 3; k = v + 16; m = r + 2; v = t + 18. If r = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 18 to k, which gives k = t + 34.\n2. Substitute t = p + 12 to k, which gives k = p + 46.\n3. Substitute p = o + 10 to k, which gives k = o + 56.\n4. Substitute o = m + 20 to k, which gives k = m + 76.\n5. Substitute m = r + 2 to k, which gives k = r + 78.\n6. Substitute r = 19 to k, which gives k = 97.\n\nThus, the final answer is k = \\boxed{97}.",
"index": 1187,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 9; n = r + 16; t = p + 12; p = o + 10; c = n + 15; o = m + 20; b = c + 10; r = 19; a = x + 6; u = a + 3; k = v + 16; m = r + 2; v = t + 18. If r = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 3", "r": "e + 15", "n": "r + 2", "m": "n + 11", "c": "m + 18", "y": "c + 15", "t": "u + 6", "a": "t + 16", "f": "a + 6", "q": "f + 18", "p": "q + 8", "w": "p + 5", "u": 15}, "premises": {"u": 15}, "target": "y"}, "answer": {"steps": [["c", "m + 18", "m + 33"], ["m", "n + 11", "n + 44"], ["n", "r + 2", "r + 46"], ["r", "e + 15", "e + 61"], ["e", "u + 3", "u + 64"], ["u", 15, "79"]], "target_var_name": "y", "target_value": 79, "value_dict": {"u": 15}, "is_reverse": true}}
| 1,188
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 2; t = u + 6; w = p + 5; e = u + 3; y = c + 15; f = a + 6; m = n + 11; r = e + 15; a = t + 16; u = 15; c = m + 18; p = q + 8; q = f + 18. If u = 15, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 18 to y, which gives y = m + 33.\n2. Substitute m = n + 11 to y, which gives y = n + 44.\n3. Substitute n = r + 2 to y, which gives y = r + 46.\n4. Substitute r = e + 15 to y, which gives y = e + 61.\n5. Substitute e = u + 3 to y, which gives y = u + 64.\n6. Substitute u = 15 to y, which gives y = 79.\n\nThus, the final answer is y = \\boxed{79}.",
"index": 1188,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 2; t = u + 6; w = p + 5; e = u + 3; y = c + 15; f = a + 6; m = n + 11; r = e + 15; a = t + 16; u = 15; c = m + 18; p = q + 8; q = f + 18. If u = 15, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 4", "u": "n + 5", "f": "u + 19", "z": "f + 19", "y": "z + 15", "o": "y + 11", "p": "v + 10", "x": "p + 15", "w": "x + 12", "s": "w + 14", "c": "s + 14", "j": "c + 7", "v": 9}, "premises": {"v": 9}, "target": "o"}, "answer": {"steps": [["y", "z + 15", "z + 26"], ["z", "f + 19", "f + 45"], ["f", "u + 19", "u + 64"], ["u", "n + 5", "n + 69"], ["n", "v + 4", "v + 73"], ["v", 9, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,189
| 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 = y + 11; u = n + 5; s = w + 14; j = c + 7; p = v + 10; z = f + 19; f = u + 19; y = z + 15; w = x + 12; n = v + 4; v = 9; c = s + 14; x = p + 15. If v = 9, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 15 to o, which gives o = z + 26.\n2. Substitute z = f + 19 to o, which gives o = f + 45.\n3. Substitute f = u + 19 to o, which gives o = u + 64.\n4. Substitute u = n + 5 to o, which gives o = n + 69.\n5. Substitute n = v + 4 to o, which gives o = v + 73.\n6. Substitute v = 9 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 1189,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 11; u = n + 5; s = w + 14; j = c + 7; p = v + 10; z = f + 19; f = u + 19; y = z + 15; w = x + 12; n = v + 4; v = 9; c = s + 14; x = p + 15. If v = 9, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 10", "i": "e + 13", "r": "i + 14", "u": "r + 3", "d": "u + 16", "h": "d + 11", "y": "n + 18", "a": "y + 15", "t": "a + 17", "k": "t + 1", "m": "k + 5", "x": "m + 5", "n": 6}, "premises": {"n": 6}, "target": "h"}, "answer": {"steps": [["d", "u + 16", "u + 27"], ["u", "r + 3", "r + 30"], ["r", "i + 14", "i + 44"], ["i", "e + 13", "e + 57"], ["e", "n + 10", "n + 67"], ["n", 6, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"n": 6}, "is_reverse": true}}
| 1,190
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = u + 16; i = e + 13; k = t + 1; x = m + 5; u = r + 3; r = i + 14; n = 6; t = a + 17; h = d + 11; m = k + 5; a = y + 15; y = n + 18; e = n + 10. Given that n = 6, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 16 to h, which gives h = u + 27.\n2. Substitute u = r + 3 to h, which gives h = r + 30.\n3. Substitute r = i + 14 to h, which gives h = i + 44.\n4. Substitute i = e + 13 to h, which gives h = e + 57.\n5. Substitute e = n + 10 to h, which gives h = n + 67.\n6. Substitute n = 6 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 1190,
"question": "Suppose a collection of variables is related by the following definitions: d = u + 16; i = e + 13; k = t + 1; x = m + 5; u = r + 3; r = i + 14; n = 6; t = a + 17; h = d + 11; m = k + 5; a = y + 15; y = n + 18; e = n + 10. Given that n = 6, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"d": "t + 1", "r": "d + 7", "l": "r + 11", "y": "l + 5", "p": "y + 13", "n": "p + 4", "b": "t + 11", "w": "b + 11", "x": "w + 5", "h": "x + 17", "v": "h + 19", "f": "v + 5", "t": 12}, "premises": {"t": 12}, "target": "n"}, "answer": {"steps": [["p", "y + 13", "y + 17"], ["y", "l + 5", "l + 22"], ["l", "r + 11", "r + 33"], ["r", "d + 7", "d + 40"], ["d", "t + 1", "t + 41"], ["t", 12, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"t": 12}, "is_reverse": true}}
| 1,191
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 7; v = h + 19; p = y + 13; y = l + 5; l = r + 11; d = t + 1; f = v + 5; h = x + 17; b = t + 11; x = w + 5; n = p + 4; w = b + 11; t = 12. If t = 12, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 13 to n, which gives n = y + 17.\n2. Substitute y = l + 5 to n, which gives n = l + 22.\n3. Substitute l = r + 11 to n, which gives n = r + 33.\n4. Substitute r = d + 7 to n, which gives n = d + 40.\n5. Substitute d = t + 1 to n, which gives n = t + 41.\n6. Substitute t = 12 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 1191,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = d + 7; v = h + 19; p = y + 13; y = l + 5; l = r + 11; d = t + 1; f = v + 5; h = x + 17; b = t + 11; x = w + 5; n = p + 4; w = b + 11; t = 12. If t = 12, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"d": "y + 3", "g": "d + 14", "s": "g + 20", "i": "s + 18", "w": "i + 9", "n": "w + 9", "u": "y + 20", "e": "u + 7", "a": "e + 7", "c": "a + 6", "j": "c + 9", "k": "j + 9", "y": 3}, "premises": {"y": 3}, "target": "n"}, "answer": {"steps": [["w", "i + 9", "i + 18"], ["i", "s + 18", "s + 36"], ["s", "g + 20", "g + 56"], ["g", "d + 14", "d + 70"], ["d", "y + 3", "y + 73"], ["y", 3, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"y": 3}, "is_reverse": true}}
| 1,192
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 7; u = y + 20; s = g + 20; c = a + 6; i = s + 18; y = 3; w = i + 9; j = c + 9; k = j + 9; g = d + 14; e = u + 7; n = w + 9; d = y + 3. If y = 3, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 9 to n, which gives n = i + 18.\n2. Substitute i = s + 18 to n, which gives n = s + 36.\n3. Substitute s = g + 20 to n, which gives n = g + 56.\n4. Substitute g = d + 14 to n, which gives n = d + 70.\n5. Substitute d = y + 3 to n, which gives n = y + 73.\n6. Substitute y = 3 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 1192,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 7; u = y + 20; s = g + 20; c = a + 6; i = s + 18; y = 3; w = i + 9; j = c + 9; k = j + 9; g = d + 14; e = u + 7; n = w + 9; d = y + 3. If y = 3, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 8", "d": "h + 8", "t": "d + 8", "q": "t + 10", "e": "q + 2", "u": "e + 12", "g": "v + 9", "s": "g + 6", "j": "s + 9", "i": "j + 9", "y": "i + 2", "m": "y + 3", "v": 9}, "premises": {"v": 9}, "target": "u"}, "answer": {"steps": [["e", "q + 2", "q + 14"], ["q", "t + 10", "t + 24"], ["t", "d + 8", "d + 32"], ["d", "h + 8", "h + 40"], ["h", "v + 8", "v + 48"], ["v", 9, "57"]], "target_var_name": "u", "target_value": 57, "value_dict": {"v": 9}, "is_reverse": true}}
| 1,193
| 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 + 10; i = j + 9; t = d + 8; u = e + 12; e = q + 2; d = h + 8; s = g + 6; g = v + 9; j = s + 9; m = y + 3; h = v + 8; v = 9; y = i + 2. If v = 9, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 2 to u, which gives u = q + 14.\n2. Substitute q = t + 10 to u, which gives u = t + 24.\n3. Substitute t = d + 8 to u, which gives u = d + 32.\n4. Substitute d = h + 8 to u, which gives u = h + 40.\n5. Substitute h = v + 8 to u, which gives u = v + 48.\n6. Substitute v = 9 to u, which gives u = 57.\n\nThus, the final answer is u = \\boxed{57}.",
"index": 1193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 10; i = j + 9; t = d + 8; u = e + 12; e = q + 2; d = h + 8; s = g + 6; g = v + 9; j = s + 9; m = y + 3; h = v + 8; v = 9; y = i + 2. If v = 9, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"v": "z + 18", "c": "v + 16", "o": "c + 5", "e": "o + 14", "b": "e + 19", "x": "b + 13", "m": "z + 15", "l": "m + 14", "w": "l + 18", "d": "w + 4", "h": "d + 11", "u": "h + 15", "z": 6}, "premises": {"z": 6}, "target": "x"}, "answer": {"steps": [["b", "e + 19", "e + 32"], ["e", "o + 14", "o + 46"], ["o", "c + 5", "c + 51"], ["c", "v + 16", "v + 67"], ["v", "z + 18", "z + 85"], ["z", 6, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"z": 6}, "is_reverse": true}}
| 1,194
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = w + 4; m = z + 15; x = b + 13; z = 6; u = h + 15; l = m + 14; c = v + 16; h = d + 11; v = z + 18; o = c + 5; w = l + 18; e = o + 14; b = e + 19. If z = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 19 to x, which gives x = e + 32.\n2. Substitute e = o + 14 to x, which gives x = o + 46.\n3. Substitute o = c + 5 to x, which gives x = c + 51.\n4. Substitute c = v + 16 to x, which gives x = v + 67.\n5. Substitute v = z + 18 to x, which gives x = z + 85.\n6. Substitute z = 6 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 1194,
"question": "Consider a system of variables where each variable is defined as follows: d = w + 4; m = z + 15; x = b + 13; z = 6; u = h + 15; l = m + 14; c = v + 16; h = d + 11; v = z + 18; o = c + 5; w = l + 18; e = o + 14; b = e + 19. If z = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "r + 13", "h": "u + 10", "w": "h + 6", "o": "w + 15", "e": "o + 6", "n": "e + 20", "f": "r + 1", "q": "f + 1", "c": "q + 13", "b": "c + 6", "v": "b + 12", "m": "v + 2", "r": 7}, "premises": {"r": 7}, "target": "n"}, "answer": {"steps": [["e", "o + 6", "o + 26"], ["o", "w + 15", "w + 41"], ["w", "h + 6", "h + 47"], ["h", "u + 10", "u + 57"], ["u", "r + 13", "r + 70"], ["r", 7, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"r": 7}, "is_reverse": true}}
| 1,195
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = 7; o = w + 15; e = o + 6; c = q + 13; f = r + 1; q = f + 1; n = e + 20; v = b + 12; h = u + 10; b = c + 6; w = h + 6; u = r + 13; m = v + 2. If r = 7, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 6 to n, which gives n = o + 26.\n2. Substitute o = w + 15 to n, which gives n = w + 41.\n3. Substitute w = h + 6 to n, which gives n = h + 47.\n4. Substitute h = u + 10 to n, which gives n = u + 57.\n5. Substitute u = r + 13 to n, which gives n = r + 70.\n6. Substitute r = 7 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 1195,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 7; o = w + 15; e = o + 6; c = q + 13; f = r + 1; q = f + 1; n = e + 20; v = b + 12; h = u + 10; b = c + 6; w = h + 6; u = r + 13; m = v + 2. If r = 7, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 10", "v": "k + 20", "b": "v + 16", "y": "b + 5", "a": "y + 10", "e": "a + 17", "n": "u + 10", "m": "n + 2", "x": "m + 8", "z": "x + 9", "q": "z + 2", "i": "q + 20", "u": 17}, "premises": {"u": 17}, "target": "e"}, "answer": {"steps": [["a", "y + 10", "y + 27"], ["y", "b + 5", "b + 32"], ["b", "v + 16", "v + 48"], ["v", "k + 20", "k + 68"], ["k", "u + 10", "u + 78"], ["u", 17, "95"]], "target_var_name": "e", "target_value": 95, "value_dict": {"u": 17}, "is_reverse": true}}
| 1,196
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 20; z = x + 9; y = b + 5; x = m + 8; a = y + 10; q = z + 2; e = a + 17; k = u + 10; m = n + 2; u = 17; n = u + 10; i = q + 20; b = v + 16. If u = 17, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 10 to e, which gives e = y + 27.\n2. Substitute y = b + 5 to e, which gives e = b + 32.\n3. Substitute b = v + 16 to e, which gives e = v + 48.\n4. Substitute v = k + 20 to e, which gives e = k + 68.\n5. Substitute k = u + 10 to e, which gives e = u + 78.\n6. Substitute u = 17 to e, which gives e = 95.\n\nThus, the final answer is e = \\boxed{95}.",
"index": 1196,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 20; z = x + 9; y = b + 5; x = m + 8; a = y + 10; q = z + 2; e = a + 17; k = u + 10; m = n + 2; u = 17; n = u + 10; i = q + 20; b = v + 16. If u = 17, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"g": "i + 18", "d": "g + 16", "h": "d + 3", "n": "h + 1", "o": "n + 13", "r": "o + 2", "p": "i + 20", "j": "p + 18", "z": "j + 8", "v": "z + 3", "s": "v + 11", "y": "s + 16", "i": 6}, "premises": {"i": 6}, "target": "r"}, "answer": {"steps": [["o", "n + 13", "n + 15"], ["n", "h + 1", "h + 16"], ["h", "d + 3", "d + 19"], ["d", "g + 16", "g + 35"], ["g", "i + 18", "i + 53"], ["i", 6, "59"]], "target_var_name": "r", "target_value": 59, "value_dict": {"i": 6}, "is_reverse": true}}
| 1,197
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 18; j = p + 18; o = n + 13; i = 6; z = j + 8; p = i + 20; n = h + 1; r = o + 2; y = s + 16; s = v + 11; h = d + 3; v = z + 3; d = g + 16. If i = 6, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 13 to r, which gives r = n + 15.\n2. Substitute n = h + 1 to r, which gives r = h + 16.\n3. Substitute h = d + 3 to r, which gives r = d + 19.\n4. Substitute d = g + 16 to r, which gives r = g + 35.\n5. Substitute g = i + 18 to r, which gives r = i + 53.\n6. Substitute i = 6 to r, which gives r = 59.\n\nThus, the final answer is r = \\boxed{59}.",
"index": 1197,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 18; j = p + 18; o = n + 13; i = 6; z = j + 8; p = i + 20; n = h + 1; r = o + 2; y = s + 16; s = v + 11; h = d + 3; v = z + 3; d = g + 16. If i = 6, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 19", "u": "h + 15", "v": "u + 12", "g": "v + 16", "a": "g + 6", "e": "a + 20", "p": "l + 17", "b": "p + 15", "s": "b + 10", "f": "s + 15", "o": "f + 14", "w": "o + 11", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["a", "g + 6", "g + 26"], ["g", "v + 16", "v + 42"], ["v", "u + 12", "u + 54"], ["u", "h + 15", "h + 69"], ["h", "l + 19", "l + 88"], ["l", 20, "108"]], "target_var_name": "e", "target_value": 108, "value_dict": {"l": 20}, "is_reverse": true}}
| 1,198
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = h + 15; e = a + 20; w = o + 11; g = v + 16; b = p + 15; v = u + 12; f = s + 15; h = l + 19; l = 20; a = g + 6; o = f + 14; s = b + 10; p = l + 17. Given that l = 20, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 6 to e, which gives e = g + 26.\n2. Substitute g = v + 16 to e, which gives e = v + 42.\n3. Substitute v = u + 12 to e, which gives e = u + 54.\n4. Substitute u = h + 15 to e, which gives e = h + 69.\n5. Substitute h = l + 19 to e, which gives e = l + 88.\n6. Substitute l = 20 to e, which gives e = 108.\n\nThus, the final answer is e = \\boxed{108}.",
"index": 1198,
"question": "Suppose a collection of variables is related by the following definitions: u = h + 15; e = a + 20; w = o + 11; g = v + 16; b = p + 15; v = u + 12; f = s + 15; h = l + 19; l = 20; a = g + 6; o = f + 14; s = b + 10; p = l + 17. Given that l = 20, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 1", "u": "h + 10", "n": "u + 20", "e": "n + 13", "k": "e + 15", "w": "k + 20", "g": "p + 5", "i": "g + 18", "j": "i + 10", "a": "j + 2", "v": "a + 7", "c": "v + 6", "p": 15}, "premises": {"p": 15}, "target": "w"}, "answer": {"steps": [["k", "e + 15", "e + 35"], ["e", "n + 13", "n + 48"], ["n", "u + 20", "u + 68"], ["u", "h + 10", "h + 78"], ["h", "p + 1", "p + 79"], ["p", 15, "94"]], "target_var_name": "w", "target_value": 94, "value_dict": {"p": 15}, "is_reverse": true}}
| 1,199
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = i + 10; i = g + 18; e = n + 13; w = k + 20; u = h + 10; v = a + 7; g = p + 5; h = p + 1; a = j + 2; c = v + 6; p = 15; k = e + 15; n = u + 20. Given that p = 15, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 15 to w, which gives w = e + 35.\n2. Substitute e = n + 13 to w, which gives w = n + 48.\n3. Substitute n = u + 20 to w, which gives w = u + 68.\n4. Substitute u = h + 10 to w, which gives w = h + 78.\n5. Substitute h = p + 1 to w, which gives w = p + 79.\n6. Substitute p = 15 to w, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 1199,
"question": "Suppose a collection of variables is related by the following definitions: j = i + 10; i = g + 18; e = n + 13; w = k + 20; u = h + 10; v = a + 7; g = p + 5; h = p + 1; a = j + 2; c = v + 6; p = 15; k = e + 15; n = u + 20. Given that p = 15, find the value of w.",
"split": "train"
}
|
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