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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"u": "x + 1", "t": "u + 2", "z": "t + 2", "n": "z + 3", "i": "n + 13", "h": "i + 18", "k": "x + 18", "c": "k + 13", "j": "c + 1", "q": "j + 13", "f": "q + 20", "e": "f + 7", "x": 7}, "premises": {"x": 7}, "target": "h"}, "answer": {"steps": [["u", "x + 1", 8], ["t", "u + 2", 10], ["z", "t + 2", 12], ["n", "z + 3", 15], ["i", "n + 13", 28], ["h", "i + 18", 46]], "target_var_name": "h", "target_value": 46, "value_dict": {"x": 7, "u": 8, "t": 10, "z": 12, "n": 15, "i": 28, "h": 46}, "is_reverse": false}}
| 200
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 13; x = 7; c = k + 13; t = u + 2; u = x + 1; z = t + 2; i = n + 13; e = f + 7; k = x + 18; j = c + 1; h = i + 18; f = q + 20; n = z + 3. If x = 7, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = x + 1, which gives u = 8.\n2. Compute t using t = u + 2, which gives t = 10.\n3. Compute z using z = t + 2, which gives z = 12.\n4. Compute n using n = z + 3, which gives n = 15.\n5. Compute i using i = n + 13, which gives i = 28.\n6. Compute h using h = i + 18, which gives h = 46.\n\nThus, the final answer is h = \\boxed{46}.",
"index": 200,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 13; x = 7; c = k + 13; t = u + 2; u = x + 1; z = t + 2; i = n + 13; e = f + 7; k = x + 18; j = c + 1; h = i + 18; f = q + 20; n = z + 3. If x = 7, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"j": "t + 9", "g": "j + 3", "q": "g + 14", "k": "q + 10", "d": "k + 4", "m": "d + 7", "h": "t + 18", "y": "h + 8", "s": "y + 18", "w": "s + 4", "v": "w + 3", "i": "v + 10", "t": 19}, "premises": {"t": 19}, "target": "m"}, "answer": {"steps": [["j", "t + 9", 28], ["g", "j + 3", 31], ["q", "g + 14", 45], ["k", "q + 10", 55], ["d", "k + 4", 59], ["m", "d + 7", 66]], "target_var_name": "m", "target_value": 66, "value_dict": {"t": 19, "j": 28, "g": 31, "q": 45, "k": 55, "d": 59, "m": 66}, "is_reverse": false}}
| 201
| 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 = d + 7; h = t + 18; s = y + 18; q = g + 14; j = t + 9; d = k + 4; k = q + 10; g = j + 3; i = v + 10; w = s + 4; v = w + 3; y = h + 8; t = 19. If t = 19, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = t + 9, which gives j = 28.\n2. Compute g using g = j + 3, which gives g = 31.\n3. Compute q using q = g + 14, which gives q = 45.\n4. Compute k using k = q + 10, which gives k = 55.\n5. Compute d using d = k + 4, which gives d = 59.\n6. Compute m using m = d + 7, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 201,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 7; h = t + 18; s = y + 18; q = g + 14; j = t + 9; d = k + 4; k = q + 10; g = j + 3; i = v + 10; w = s + 4; v = w + 3; y = h + 8; t = 19. If t = 19, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 10", "y": "a + 10", "c": "y + 11", "l": "c + 19", "r": "l + 7", "j": "r + 10", "e": "f + 3", "u": "e + 4", "k": "u + 19", "w": "k + 7", "d": "w + 9", "o": "d + 9", "f": 13}, "premises": {"f": 13}, "target": "j"}, "answer": {"steps": [["a", "f + 10", 23], ["y", "a + 10", 33], ["c", "y + 11", 44], ["l", "c + 19", 63], ["r", "l + 7", 70], ["j", "r + 10", 80]], "target_var_name": "j", "target_value": 80, "value_dict": {"f": 13, "a": 23, "y": 33, "c": 44, "l": 63, "r": 70, "j": 80}, "is_reverse": false}}
| 202
| 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 = f + 10; k = u + 19; l = c + 19; c = y + 11; e = f + 3; r = l + 7; u = e + 4; j = r + 10; o = d + 9; d = w + 9; y = a + 10; w = k + 7; f = 13. If f = 13, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = f + 10, which gives a = 23.\n2. Compute y using y = a + 10, which gives y = 33.\n3. Compute c using c = y + 11, which gives c = 44.\n4. Compute l using l = c + 19, which gives l = 63.\n5. Compute r using r = l + 7, which gives r = 70.\n6. Compute j using j = r + 10, which gives j = 80.\n\nThus, the final answer is j = \\boxed{80}.",
"index": 202,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 10; k = u + 19; l = c + 19; c = y + 11; e = f + 3; r = l + 7; u = e + 4; j = r + 10; o = d + 9; d = w + 9; y = a + 10; w = k + 7; f = 13. If f = 13, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"g": "c + 16", "d": "g + 16", "a": "d + 2", "y": "a + 20", "b": "y + 1", "w": "b + 17", "q": "c + 11", "s": "q + 13", "o": "s + 8", "t": "o + 4", "u": "t + 7", "l": "u + 8", "c": 11}, "premises": {"c": 11}, "target": "w"}, "answer": {"steps": [["g", "c + 16", 27], ["d", "g + 16", 43], ["a", "d + 2", 45], ["y", "a + 20", 65], ["b", "y + 1", 66], ["w", "b + 17", 83]], "target_var_name": "w", "target_value": 83, "value_dict": {"c": 11, "g": 27, "d": 43, "a": 45, "y": 65, "b": 66, "w": 83}, "is_reverse": false}}
| 203
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 4; a = d + 2; l = u + 8; s = q + 13; c = 11; y = a + 20; g = c + 16; o = s + 8; b = y + 1; w = b + 17; q = c + 11; u = t + 7; d = g + 16. If c = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = c + 16, which gives g = 27.\n2. Compute d using d = g + 16, which gives d = 43.\n3. Compute a using a = d + 2, which gives a = 45.\n4. Compute y using y = a + 20, which gives y = 65.\n5. Compute b using b = y + 1, which gives b = 66.\n6. Compute w using w = b + 17, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 203,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 4; a = d + 2; l = u + 8; s = q + 13; c = 11; y = a + 20; g = c + 16; o = s + 8; b = y + 1; w = b + 17; q = c + 11; u = t + 7; d = g + 16. If c = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"a": "d + 16", "u": "a + 16", "o": "u + 11", "m": "o + 20", "t": "m + 4", "p": "t + 4", "w": "d + 1", "e": "w + 10", "g": "e + 7", "y": "g + 13", "s": "y + 20", "n": "s + 16", "d": 15}, "premises": {"d": 15}, "target": "p"}, "answer": {"steps": [["a", "d + 16", 31], ["u", "a + 16", 47], ["o", "u + 11", 58], ["m", "o + 20", 78], ["t", "m + 4", 82], ["p", "t + 4", 86]], "target_var_name": "p", "target_value": 86, "value_dict": {"d": 15, "a": 31, "u": 47, "o": 58, "m": 78, "t": 82, "p": 86}, "is_reverse": false}}
| 204
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 15; a = d + 16; y = g + 13; g = e + 7; n = s + 16; s = y + 20; u = a + 16; w = d + 1; m = o + 20; e = w + 10; o = u + 11; p = t + 4; t = m + 4. Given that d = 15, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = d + 16, which gives a = 31.\n2. Compute u using u = a + 16, which gives u = 47.\n3. Compute o using o = u + 11, which gives o = 58.\n4. Compute m using m = o + 20, which gives m = 78.\n5. Compute t using t = m + 4, which gives t = 82.\n6. Compute p using p = t + 4, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 204,
"question": "Suppose a collection of variables is related by the following definitions: d = 15; a = d + 16; y = g + 13; g = e + 7; n = s + 16; s = y + 20; u = a + 16; w = d + 1; m = o + 20; e = w + 10; o = u + 11; p = t + 4; t = m + 4. Given that d = 15, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 20", "b": "z + 16", "q": "b + 10", "d": "q + 15", "k": "d + 9", "f": "k + 11", "p": "m + 7", "j": "p + 13", "u": "j + 16", "r": "u + 10", "w": "r + 5", "v": "w + 9", "m": 2}, "premises": {"m": 2}, "target": "f"}, "answer": {"steps": [["z", "m + 20", 22], ["b", "z + 16", 38], ["q", "b + 10", 48], ["d", "q + 15", 63], ["k", "d + 9", 72], ["f", "k + 11", 83]], "target_var_name": "f", "target_value": 83, "value_dict": {"m": 2, "z": 22, "b": 38, "q": 48, "d": 63, "k": 72, "f": 83}, "is_reverse": false}}
| 205
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = 2; q = b + 10; k = d + 9; u = j + 16; b = z + 16; r = u + 10; w = r + 5; f = k + 11; d = q + 15; j = p + 13; v = w + 9; z = m + 20; p = m + 7. Given that m = 2, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = m + 20, which gives z = 22.\n2. Compute b using b = z + 16, which gives b = 38.\n3. Compute q using q = b + 10, which gives q = 48.\n4. Compute d using d = q + 15, which gives d = 63.\n5. Compute k using k = d + 9, which gives k = 72.\n6. Compute f using f = k + 11, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 205,
"question": "Suppose a collection of variables is related by the following definitions: m = 2; q = b + 10; k = d + 9; u = j + 16; b = z + 16; r = u + 10; w = r + 5; f = k + 11; d = q + 15; j = p + 13; v = w + 9; z = m + 20; p = m + 7. Given that m = 2, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 2", "c": "r + 10", "g": "c + 8", "o": "g + 16", "z": "o + 11", "w": "z + 9", "l": "k + 2", "j": "l + 9", "b": "j + 14", "t": "b + 18", "d": "t + 11", "q": "d + 18", "k": 2}, "premises": {"k": 2}, "target": "w"}, "answer": {"steps": [["r", "k + 2", 4], ["c", "r + 10", 14], ["g", "c + 8", 22], ["o", "g + 16", 38], ["z", "o + 11", 49], ["w", "z + 9", 58]], "target_var_name": "w", "target_value": 58, "value_dict": {"k": 2, "r": 4, "c": 14, "g": 22, "o": 38, "z": 49, "w": 58}, "is_reverse": false}}
| 206
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = 2; d = t + 11; g = c + 8; r = k + 2; q = d + 18; c = r + 10; z = o + 11; j = l + 9; t = b + 18; l = k + 2; w = z + 9; b = j + 14; o = g + 16. If k = 2, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = k + 2, which gives r = 4.\n2. Compute c using c = r + 10, which gives c = 14.\n3. Compute g using g = c + 8, which gives g = 22.\n4. Compute o using o = g + 16, which gives o = 38.\n5. Compute z using z = o + 11, which gives z = 49.\n6. Compute w using w = z + 9, which gives w = 58.\n\nThus, the final answer is w = \\boxed{58}.",
"index": 206,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 2; d = t + 11; g = c + 8; r = k + 2; q = d + 18; c = r + 10; z = o + 11; j = l + 9; t = b + 18; l = k + 2; w = z + 9; b = j + 14; o = g + 16. If k = 2, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"x": "q + 18", "a": "x + 7", "u": "a + 10", "o": "u + 7", "j": "o + 3", "d": "j + 13", "z": "q + 17", "b": "z + 16", "v": "b + 20", "g": "v + 4", "e": "g + 14", "n": "e + 13", "q": 8}, "premises": {"q": 8}, "target": "d"}, "answer": {"steps": [["x", "q + 18", 26], ["a", "x + 7", 33], ["u", "a + 10", 43], ["o", "u + 7", 50], ["j", "o + 3", 53], ["d", "j + 13", 66]], "target_var_name": "d", "target_value": 66, "value_dict": {"q": 8, "x": 26, "a": 33, "u": 43, "o": 50, "j": 53, "d": 66}, "is_reverse": false}}
| 207
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 20; j = o + 3; d = j + 13; u = a + 10; o = u + 7; z = q + 17; x = q + 18; n = e + 13; g = v + 4; q = 8; e = g + 14; a = x + 7; b = z + 16. Given that q = 8, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = q + 18, which gives x = 26.\n2. Compute a using a = x + 7, which gives a = 33.\n3. Compute u using u = a + 10, which gives u = 43.\n4. Compute o using o = u + 7, which gives o = 50.\n5. Compute j using j = o + 3, which gives j = 53.\n6. Compute d using d = j + 13, which gives d = 66.\n\nThus, the final answer is d = \\boxed{66}.",
"index": 207,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 20; j = o + 3; d = j + 13; u = a + 10; o = u + 7; z = q + 17; x = q + 18; n = e + 13; g = v + 4; q = 8; e = g + 14; a = x + 7; b = z + 16. Given that q = 8, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"j": "a + 5", "t": "j + 17", "g": "t + 9", "f": "g + 19", "y": "f + 2", "h": "y + 10", "x": "a + 14", "p": "x + 4", "b": "p + 16", "o": "b + 12", "c": "o + 8", "e": "c + 12", "a": 18}, "premises": {"a": 18}, "target": "h"}, "answer": {"steps": [["j", "a + 5", 23], ["t", "j + 17", 40], ["g", "t + 9", 49], ["f", "g + 19", 68], ["y", "f + 2", 70], ["h", "y + 10", 80]], "target_var_name": "h", "target_value": 80, "value_dict": {"a": 18, "j": 23, "t": 40, "g": 49, "f": 68, "y": 70, "h": 80}, "is_reverse": false}}
| 208
| 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 = a + 14; f = g + 19; t = j + 17; a = 18; h = y + 10; p = x + 4; j = a + 5; o = b + 12; c = o + 8; g = t + 9; e = c + 12; b = p + 16; y = f + 2. If a = 18, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = a + 5, which gives j = 23.\n2. Compute t using t = j + 17, which gives t = 40.\n3. Compute g using g = t + 9, which gives g = 49.\n4. Compute f using f = g + 19, which gives f = 68.\n5. Compute y using y = f + 2, which gives y = 70.\n6. Compute h using h = y + 10, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 208,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 14; f = g + 19; t = j + 17; a = 18; h = y + 10; p = x + 4; j = a + 5; o = b + 12; c = o + 8; g = t + 9; e = c + 12; b = p + 16; y = f + 2. If a = 18, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"p": "r + 1", "e": "p + 3", "o": "e + 15", "x": "o + 2", "b": "x + 4", "f": "b + 2", "u": "r + 16", "v": "u + 12", "l": "v + 10", "g": "l + 16", "d": "g + 10", "s": "d + 2", "r": 18}, "premises": {"r": 18}, "target": "f"}, "answer": {"steps": [["p", "r + 1", 19], ["e", "p + 3", 22], ["o", "e + 15", 37], ["x", "o + 2", 39], ["b", "x + 4", 43], ["f", "b + 2", 45]], "target_var_name": "f", "target_value": 45, "value_dict": {"r": 18, "p": 19, "e": 22, "o": 37, "x": 39, "b": 43, "f": 45}, "is_reverse": false}}
| 209
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = 18; v = u + 12; e = p + 3; l = v + 10; u = r + 16; d = g + 10; g = l + 16; s = d + 2; f = b + 2; o = e + 15; x = o + 2; p = r + 1; b = x + 4. Given that r = 18, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = r + 1, which gives p = 19.\n2. Compute e using e = p + 3, which gives e = 22.\n3. Compute o using o = e + 15, which gives o = 37.\n4. Compute x using x = o + 2, which gives x = 39.\n5. Compute b using b = x + 4, which gives b = 43.\n6. Compute f using f = b + 2, which gives f = 45.\n\nThus, the final answer is f = \\boxed{45}.",
"index": 209,
"question": "Suppose a collection of variables is related by the following definitions: r = 18; v = u + 12; e = p + 3; l = v + 10; u = r + 16; d = g + 10; g = l + 16; s = d + 2; f = b + 2; o = e + 15; x = o + 2; p = r + 1; b = x + 4. Given that r = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 4", "f": "j + 16", "r": "f + 14", "q": "r + 17", "a": "q + 4", "t": "a + 19", "w": "m + 14", "i": "w + 5", "c": "i + 7", "z": "c + 2", "x": "z + 16", "l": "x + 1", "m": 20}, "premises": {"m": 20}, "target": "t"}, "answer": {"steps": [["j", "m + 4", 24], ["f", "j + 16", 40], ["r", "f + 14", 54], ["q", "r + 17", 71], ["a", "q + 4", 75], ["t", "a + 19", 94]], "target_var_name": "t", "target_value": 94, "value_dict": {"m": 20, "j": 24, "f": 40, "r": 54, "q": 71, "a": 75, "t": 94}, "is_reverse": false}}
| 210
| 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 = f + 14; j = m + 4; m = 20; q = r + 17; f = j + 16; l = x + 1; z = c + 2; i = w + 5; c = i + 7; w = m + 14; t = a + 19; a = q + 4; x = z + 16. If m = 20, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = m + 4, which gives j = 24.\n2. Compute f using f = j + 16, which gives f = 40.\n3. Compute r using r = f + 14, which gives r = 54.\n4. Compute q using q = r + 17, which gives q = 71.\n5. Compute a using a = q + 4, which gives a = 75.\n6. Compute t using t = a + 19, which gives t = 94.\n\nThus, the final answer is t = \\boxed{94}.",
"index": 210,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = f + 14; j = m + 4; m = 20; q = r + 17; f = j + 16; l = x + 1; z = c + 2; i = w + 5; c = i + 7; w = m + 14; t = a + 19; a = q + 4; x = z + 16. If m = 20, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 7", "c": "e + 15", "a": "c + 19", "z": "a + 9", "k": "z + 9", "y": "k + 16", "o": "g + 13", "h": "o + 1", "r": "h + 17", "b": "r + 16", "u": "b + 16", "x": "u + 10", "g": 5}, "premises": {"g": 5}, "target": "y"}, "answer": {"steps": [["e", "g + 7", 12], ["c", "e + 15", 27], ["a", "c + 19", 46], ["z", "a + 9", 55], ["k", "z + 9", 64], ["y", "k + 16", 80]], "target_var_name": "y", "target_value": 80, "value_dict": {"g": 5, "e": 12, "c": 27, "a": 46, "z": 55, "k": 64, "y": 80}, "is_reverse": false}}
| 211
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = b + 16; b = r + 16; y = k + 16; x = u + 10; c = e + 15; r = h + 17; h = o + 1; e = g + 7; z = a + 9; a = c + 19; o = g + 13; k = z + 9; g = 5. Given that g = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = g + 7, which gives e = 12.\n2. Compute c using c = e + 15, which gives c = 27.\n3. Compute a using a = c + 19, which gives a = 46.\n4. Compute z using z = a + 9, which gives z = 55.\n5. Compute k using k = z + 9, which gives k = 64.\n6. Compute y using y = k + 16, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 211,
"question": "Suppose a collection of variables is related by the following definitions: u = b + 16; b = r + 16; y = k + 16; x = u + 10; c = e + 15; r = h + 17; h = o + 1; e = g + 7; z = a + 9; a = c + 19; o = g + 13; k = z + 9; g = 5. Given that g = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 2", "q": "b + 5", "z": "q + 2", "v": "z + 1", "o": "v + 2", "n": "o + 11", "j": "y + 19", "w": "j + 2", "m": "w + 9", "p": "m + 2", "c": "p + 17", "l": "c + 4", "y": 8}, "premises": {"y": 8}, "target": "n"}, "answer": {"steps": [["b", "y + 2", 10], ["q", "b + 5", 15], ["z", "q + 2", 17], ["v", "z + 1", 18], ["o", "v + 2", 20], ["n", "o + 11", 31]], "target_var_name": "n", "target_value": 31, "value_dict": {"y": 8, "b": 10, "q": 15, "z": 17, "v": 18, "o": 20, "n": 31}, "is_reverse": false}}
| 212
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = p + 17; n = o + 11; y = 8; b = y + 2; j = y + 19; m = w + 9; z = q + 2; q = b + 5; w = j + 2; p = m + 2; l = c + 4; v = z + 1; o = v + 2. If y = 8, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 31,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = y + 2, which gives b = 10.\n2. Compute q using q = b + 5, which gives q = 15.\n3. Compute z using z = q + 2, which gives z = 17.\n4. Compute v using v = z + 1, which gives v = 18.\n5. Compute o using o = v + 2, which gives o = 20.\n6. Compute n using n = o + 11, which gives n = 31.\n\nThus, the final answer is n = \\boxed{31}.",
"index": 212,
"question": "Consider a system of variables where each variable is defined as follows: c = p + 17; n = o + 11; y = 8; b = y + 2; j = y + 19; m = w + 9; z = q + 2; q = b + 5; w = j + 2; p = m + 2; l = c + 4; v = z + 1; o = v + 2. If y = 8, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 5", "x": "r + 11", "m": "x + 13", "z": "m + 18", "q": "z + 18", "d": "q + 2", "s": "a + 17", "u": "s + 2", "i": "u + 9", "p": "i + 20", "l": "p + 13", "v": "l + 1", "a": 4}, "premises": {"a": 4}, "target": "d"}, "answer": {"steps": [["r", "a + 5", 9], ["x", "r + 11", 20], ["m", "x + 13", 33], ["z", "m + 18", 51], ["q", "z + 18", 69], ["d", "q + 2", 71]], "target_var_name": "d", "target_value": 71, "value_dict": {"a": 4, "r": 9, "x": 20, "m": 33, "z": 51, "q": 69, "d": 71}, "is_reverse": false}}
| 213
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = u + 9; m = x + 13; d = q + 2; x = r + 11; v = l + 1; q = z + 18; p = i + 20; s = a + 17; a = 4; r = a + 5; z = m + 18; u = s + 2; l = p + 13. Given that a = 4, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = a + 5, which gives r = 9.\n2. Compute x using x = r + 11, which gives x = 20.\n3. Compute m using m = x + 13, which gives m = 33.\n4. Compute z using z = m + 18, which gives z = 51.\n5. Compute q using q = z + 18, which gives q = 69.\n6. Compute d using d = q + 2, which gives d = 71.\n\nThus, the final answer is d = \\boxed{71}.",
"index": 213,
"question": "Suppose a collection of variables is related by the following definitions: i = u + 9; m = x + 13; d = q + 2; x = r + 11; v = l + 1; q = z + 18; p = i + 20; s = a + 17; a = 4; r = a + 5; z = m + 18; u = s + 2; l = p + 13. Given that a = 4, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 4", "b": "i + 12", "t": "b + 4", "n": "t + 18", "z": "n + 7", "r": "z + 8", "w": "e + 18", "m": "w + 3", "y": "m + 2", "g": "y + 19", "k": "g + 19", "v": "k + 12", "e": 14}, "premises": {"e": 14}, "target": "r"}, "answer": {"steps": [["i", "e + 4", 18], ["b", "i + 12", 30], ["t", "b + 4", 34], ["n", "t + 18", 52], ["z", "n + 7", 59], ["r", "z + 8", 67]], "target_var_name": "r", "target_value": 67, "value_dict": {"e": 14, "i": 18, "b": 30, "t": 34, "n": 52, "z": 59, "r": 67}, "is_reverse": false}}
| 214
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = e + 4; r = z + 8; v = k + 12; y = m + 2; e = 14; m = w + 3; w = e + 18; k = g + 19; z = n + 7; g = y + 19; n = t + 18; t = b + 4; b = i + 12. If e = 14, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = e + 4, which gives i = 18.\n2. Compute b using b = i + 12, which gives b = 30.\n3. Compute t using t = b + 4, which gives t = 34.\n4. Compute n using n = t + 18, which gives n = 52.\n5. Compute z using z = n + 7, which gives z = 59.\n6. Compute r using r = z + 8, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 214,
"question": "Consider a system of variables where each variable is defined as follows: i = e + 4; r = z + 8; v = k + 12; y = m + 2; e = 14; m = w + 3; w = e + 18; k = g + 19; z = n + 7; g = y + 19; n = t + 18; t = b + 4; b = i + 12. If e = 14, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 1", "b": "m + 13", "y": "b + 14", "l": "y + 8", "n": "l + 6", "g": "n + 11", "i": "f + 11", "k": "i + 13", "u": "k + 13", "r": "u + 16", "q": "r + 15", "j": "q + 6", "f": 13}, "premises": {"f": 13}, "target": "g"}, "answer": {"steps": [["m", "f + 1", 14], ["b", "m + 13", 27], ["y", "b + 14", 41], ["l", "y + 8", 49], ["n", "l + 6", 55], ["g", "n + 11", 66]], "target_var_name": "g", "target_value": 66, "value_dict": {"f": 13, "m": 14, "b": 27, "y": 41, "l": 49, "n": 55, "g": 66}, "is_reverse": false}}
| 215
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 13; q = r + 15; m = f + 1; r = u + 16; u = k + 13; l = y + 8; i = f + 11; y = b + 14; g = n + 11; b = m + 13; n = l + 6; k = i + 13; j = q + 6. If f = 13, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = f + 1, which gives m = 14.\n2. Compute b using b = m + 13, which gives b = 27.\n3. Compute y using y = b + 14, which gives y = 41.\n4. Compute l using l = y + 8, which gives l = 49.\n5. Compute n using n = l + 6, which gives n = 55.\n6. Compute g using g = n + 11, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 215,
"question": "Consider a system of variables where each variable is defined as follows: f = 13; q = r + 15; m = f + 1; r = u + 16; u = k + 13; l = y + 8; i = f + 11; y = b + 14; g = n + 11; b = m + 13; n = l + 6; k = i + 13; j = q + 6. If f = 13, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 12", "a": "s + 8", "d": "a + 19", "h": "d + 11", "m": "h + 3", "c": "m + 12", "t": "e + 19", "x": "t + 16", "r": "x + 3", "y": "r + 13", "k": "y + 16", "b": "k + 16", "e": 14}, "premises": {"e": 14}, "target": "c"}, "answer": {"steps": [["s", "e + 12", 26], ["a", "s + 8", 34], ["d", "a + 19", 53], ["h", "d + 11", 64], ["m", "h + 3", 67], ["c", "m + 12", 79]], "target_var_name": "c", "target_value": 79, "value_dict": {"e": 14, "s": 26, "a": 34, "d": 53, "h": 64, "m": 67, "c": 79}, "is_reverse": false}}
| 216
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 13; h = d + 11; c = m + 12; t = e + 19; s = e + 12; x = t + 16; m = h + 3; b = k + 16; e = 14; k = y + 16; a = s + 8; d = a + 19; r = x + 3. If e = 14, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = e + 12, which gives s = 26.\n2. Compute a using a = s + 8, which gives a = 34.\n3. Compute d using d = a + 19, which gives d = 53.\n4. Compute h using h = d + 11, which gives h = 64.\n5. Compute m using m = h + 3, which gives m = 67.\n6. Compute c using c = m + 12, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 216,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 13; h = d + 11; c = m + 12; t = e + 19; s = e + 12; x = t + 16; m = h + 3; b = k + 16; e = 14; k = y + 16; a = s + 8; d = a + 19; r = x + 3. If e = 14, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 9", "u": "e + 6", "d": "u + 4", "v": "d + 2", "m": "v + 7", "r": "m + 17", "h": "n + 12", "j": "h + 5", "c": "j + 15", "o": "c + 11", "y": "o + 13", "b": "y + 7", "n": 20}, "premises": {"n": 20}, "target": "r"}, "answer": {"steps": [["e", "n + 9", 29], ["u", "e + 6", 35], ["d", "u + 4", 39], ["v", "d + 2", 41], ["m", "v + 7", 48], ["r", "m + 17", 65]], "target_var_name": "r", "target_value": 65, "value_dict": {"n": 20, "e": 29, "u": 35, "d": 39, "v": 41, "m": 48, "r": 65}, "is_reverse": false}}
| 217
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 13; j = h + 5; u = e + 6; r = m + 17; m = v + 7; c = j + 15; n = 20; b = y + 7; e = n + 9; h = n + 12; d = u + 4; o = c + 11; v = d + 2. If n = 20, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = n + 9, which gives e = 29.\n2. Compute u using u = e + 6, which gives u = 35.\n3. Compute d using d = u + 4, which gives d = 39.\n4. Compute v using v = d + 2, which gives v = 41.\n5. Compute m using m = v + 7, which gives m = 48.\n6. Compute r using r = m + 17, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 217,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 13; j = h + 5; u = e + 6; r = m + 17; m = v + 7; c = j + 15; n = 20; b = y + 7; e = n + 9; h = n + 12; d = u + 4; o = c + 11; v = d + 2. If n = 20, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 16", "s": "j + 2", "r": "s + 7", "e": "r + 18", "z": "e + 19", "u": "z + 15", "k": "m + 12", "t": "k + 5", "w": "t + 4", "f": "w + 20", "l": "f + 16", "n": "l + 10", "m": 12}, "premises": {"m": 12}, "target": "u"}, "answer": {"steps": [["j", "m + 16", 28], ["s", "j + 2", 30], ["r", "s + 7", 37], ["e", "r + 18", 55], ["z", "e + 19", 74], ["u", "z + 15", 89]], "target_var_name": "u", "target_value": 89, "value_dict": {"m": 12, "j": 28, "s": 30, "r": 37, "e": 55, "z": 74, "u": 89}, "is_reverse": false}}
| 218
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 18; z = e + 19; k = m + 12; n = l + 10; m = 12; w = t + 4; s = j + 2; l = f + 16; r = s + 7; t = k + 5; j = m + 16; u = z + 15; f = w + 20. If m = 12, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = m + 16, which gives j = 28.\n2. Compute s using s = j + 2, which gives s = 30.\n3. Compute r using r = s + 7, which gives r = 37.\n4. Compute e using e = r + 18, which gives e = 55.\n5. Compute z using z = e + 19, which gives z = 74.\n6. Compute u using u = z + 15, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 218,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 18; z = e + 19; k = m + 12; n = l + 10; m = 12; w = t + 4; s = j + 2; l = f + 16; r = s + 7; t = k + 5; j = m + 16; u = z + 15; f = w + 20. If m = 12, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "t + 10", "o": "q + 14", "v": "o + 12", "i": "v + 13", "s": "i + 14", "z": "s + 11", "d": "t + 15", "k": "d + 17", "m": "k + 6", "x": "m + 1", "r": "x + 18", "n": "r + 4", "t": 2}, "premises": {"t": 2}, "target": "z"}, "answer": {"steps": [["q", "t + 10", 12], ["o", "q + 14", 26], ["v", "o + 12", 38], ["i", "v + 13", 51], ["s", "i + 14", 65], ["z", "s + 11", 76]], "target_var_name": "z", "target_value": 76, "value_dict": {"t": 2, "q": 12, "o": 26, "v": 38, "i": 51, "s": 65, "z": 76}, "is_reverse": false}}
| 219
| 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 = t + 15; i = v + 13; n = r + 4; x = m + 1; t = 2; o = q + 14; s = i + 14; v = o + 12; z = s + 11; q = t + 10; k = d + 17; r = x + 18; m = k + 6. If t = 2, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = t + 10, which gives q = 12.\n2. Compute o using o = q + 14, which gives o = 26.\n3. Compute v using v = o + 12, which gives v = 38.\n4. Compute i using i = v + 13, which gives i = 51.\n5. Compute s using s = i + 14, which gives s = 65.\n6. Compute z using z = s + 11, which gives z = 76.\n\nThus, the final answer is z = \\boxed{76}.",
"index": 219,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = t + 15; i = v + 13; n = r + 4; x = m + 1; t = 2; o = q + 14; s = i + 14; v = o + 12; z = s + 11; q = t + 10; k = d + 17; r = x + 18; m = k + 6. If t = 2, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 5", "f": "a + 14", "b": "f + 7", "g": "b + 12", "v": "g + 18", "w": "v + 20", "q": "e + 8", "l": "q + 12", "h": "l + 8", "y": "h + 3", "t": "y + 10", "n": "t + 15", "e": 10}, "premises": {"e": 10}, "target": "w"}, "answer": {"steps": [["a", "e + 5", 15], ["f", "a + 14", 29], ["b", "f + 7", 36], ["g", "b + 12", 48], ["v", "g + 18", 66], ["w", "v + 20", 86]], "target_var_name": "w", "target_value": 86, "value_dict": {"e": 10, "a": 15, "f": 29, "b": 36, "g": 48, "v": 66, "w": 86}, "is_reverse": false}}
| 220
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 8; e = 10; a = e + 5; l = q + 12; h = l + 8; t = y + 10; y = h + 3; b = f + 7; g = b + 12; n = t + 15; f = a + 14; w = v + 20; v = g + 18. If e = 10, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = e + 5, which gives a = 15.\n2. Compute f using f = a + 14, which gives f = 29.\n3. Compute b using b = f + 7, which gives b = 36.\n4. Compute g using g = b + 12, which gives g = 48.\n5. Compute v using v = g + 18, which gives v = 66.\n6. Compute w using w = v + 20, which gives w = 86.\n\nThus, the final answer is w = \\boxed{86}.",
"index": 220,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 8; e = 10; a = e + 5; l = q + 12; h = l + 8; t = y + 10; y = h + 3; b = f + 7; g = b + 12; n = t + 15; f = a + 14; w = v + 20; v = g + 18. If e = 10, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 6", "y": "p + 2", "f": "y + 11", "l": "f + 17", "h": "l + 20", "w": "h + 10", "v": "k + 3", "x": "v + 19", "o": "x + 17", "a": "o + 19", "b": "a + 10", "m": "b + 19", "k": 17}, "premises": {"k": 17}, "target": "w"}, "answer": {"steps": [["p", "k + 6", 23], ["y", "p + 2", 25], ["f", "y + 11", 36], ["l", "f + 17", 53], ["h", "l + 20", 73], ["w", "h + 10", 83]], "target_var_name": "w", "target_value": 83, "value_dict": {"k": 17, "p": 23, "y": 25, "f": 36, "l": 53, "h": 73, "w": 83}, "is_reverse": false}}
| 221
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = h + 10; h = l + 20; v = k + 3; m = b + 19; y = p + 2; l = f + 17; p = k + 6; b = a + 10; x = v + 19; f = y + 11; a = o + 19; o = x + 17; k = 17. Given that k = 17, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = k + 6, which gives p = 23.\n2. Compute y using y = p + 2, which gives y = 25.\n3. Compute f using f = y + 11, which gives f = 36.\n4. Compute l using l = f + 17, which gives l = 53.\n5. Compute h using h = l + 20, which gives h = 73.\n6. Compute w using w = h + 10, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 221,
"question": "Suppose a collection of variables is related by the following definitions: w = h + 10; h = l + 20; v = k + 3; m = b + 19; y = p + 2; l = f + 17; p = k + 6; b = a + 10; x = v + 19; f = y + 11; a = o + 19; o = x + 17; k = 17. Given that k = 17, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 20", "v": "i + 11", "n": "v + 11", "u": "n + 6", "h": "u + 5", "l": "h + 7", "q": "t + 2", "z": "q + 3", "s": "z + 14", "j": "s + 9", "y": "j + 15", "p": "y + 11", "t": 14}, "premises": {"t": 14}, "target": "l"}, "answer": {"steps": [["i", "t + 20", 34], ["v", "i + 11", 45], ["n", "v + 11", 56], ["u", "n + 6", 62], ["h", "u + 5", 67], ["l", "h + 7", 74]], "target_var_name": "l", "target_value": 74, "value_dict": {"t": 14, "i": 34, "v": 45, "n": 56, "u": 62, "h": 67, "l": 74}, "is_reverse": false}}
| 222
| 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 + 2; i = t + 20; h = u + 5; l = h + 7; y = j + 15; v = i + 11; s = z + 14; p = y + 11; u = n + 6; z = q + 3; n = v + 11; t = 14; j = s + 9. If t = 14, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = t + 20, which gives i = 34.\n2. Compute v using v = i + 11, which gives v = 45.\n3. Compute n using n = v + 11, which gives n = 56.\n4. Compute u using u = n + 6, which gives u = 62.\n5. Compute h using h = u + 5, which gives h = 67.\n6. Compute l using l = h + 7, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 222,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 2; i = t + 20; h = u + 5; l = h + 7; y = j + 15; v = i + 11; s = z + 14; p = y + 11; u = n + 6; z = q + 3; n = v + 11; t = 14; j = s + 9. If t = 14, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 16", "q": "o + 7", "u": "q + 12", "m": "u + 10", "f": "m + 1", "c": "f + 15", "s": "a + 17", "j": "s + 1", "w": "j + 16", "i": "w + 18", "p": "i + 1", "h": "p + 5", "a": 4}, "premises": {"a": 4}, "target": "c"}, "answer": {"steps": [["o", "a + 16", 20], ["q", "o + 7", 27], ["u", "q + 12", 39], ["m", "u + 10", 49], ["f", "m + 1", 50], ["c", "f + 15", 65]], "target_var_name": "c", "target_value": 65, "value_dict": {"a": 4, "o": 20, "q": 27, "u": 39, "m": 49, "f": 50, "c": 65}, "is_reverse": false}}
| 223
| 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 = q + 12; q = o + 7; w = j + 16; i = w + 18; o = a + 16; j = s + 1; a = 4; m = u + 10; h = p + 5; s = a + 17; f = m + 1; c = f + 15; p = i + 1. If a = 4, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = a + 16, which gives o = 20.\n2. Compute q using q = o + 7, which gives q = 27.\n3. Compute u using u = q + 12, which gives u = 39.\n4. Compute m using m = u + 10, which gives m = 49.\n5. Compute f using f = m + 1, which gives f = 50.\n6. Compute c using c = f + 15, which gives c = 65.\n\nThus, the final answer is c = \\boxed{65}.",
"index": 223,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 12; q = o + 7; w = j + 16; i = w + 18; o = a + 16; j = s + 1; a = 4; m = u + 10; h = p + 5; s = a + 17; f = m + 1; c = f + 15; p = i + 1. If a = 4, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"g": "u + 1", "c": "g + 14", "b": "c + 4", "k": "b + 15", "v": "k + 7", "d": "v + 11", "p": "u + 3", "f": "p + 13", "y": "f + 15", "q": "y + 11", "h": "q + 3", "z": "h + 1", "u": 17}, "premises": {"u": 17}, "target": "d"}, "answer": {"steps": [["g", "u + 1", 18], ["c", "g + 14", 32], ["b", "c + 4", 36], ["k", "b + 15", 51], ["v", "k + 7", 58], ["d", "v + 11", 69]], "target_var_name": "d", "target_value": 69, "value_dict": {"u": 17, "g": 18, "c": 32, "b": 36, "k": 51, "v": 58, "d": 69}, "is_reverse": false}}
| 224
| 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 = q + 3; c = g + 14; f = p + 13; b = c + 4; q = y + 11; z = h + 1; k = b + 15; d = v + 11; p = u + 3; u = 17; g = u + 1; y = f + 15; v = k + 7. If u = 17, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = u + 1, which gives g = 18.\n2. Compute c using c = g + 14, which gives c = 32.\n3. Compute b using b = c + 4, which gives b = 36.\n4. Compute k using k = b + 15, which gives k = 51.\n5. Compute v using v = k + 7, which gives v = 58.\n6. Compute d using d = v + 11, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 224,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = q + 3; c = g + 14; f = p + 13; b = c + 4; q = y + 11; z = h + 1; k = b + 15; d = v + 11; p = u + 3; u = 17; g = u + 1; y = f + 15; v = k + 7. If u = 17, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 4", "d": "a + 17", "n": "d + 4", "j": "n + 10", "r": "j + 17", "v": "r + 19", "q": "g + 14", "l": "q + 18", "w": "l + 8", "e": "w + 16", "k": "e + 1", "m": "k + 20", "g": 18}, "premises": {"g": 18}, "target": "v"}, "answer": {"steps": [["a", "g + 4", 22], ["d", "a + 17", 39], ["n", "d + 4", 43], ["j", "n + 10", 53], ["r", "j + 17", 70], ["v", "r + 19", 89]], "target_var_name": "v", "target_value": 89, "value_dict": {"g": 18, "a": 22, "d": 39, "n": 43, "j": 53, "r": 70, "v": 89}, "is_reverse": false}}
| 225
| 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 = r + 19; n = d + 4; k = e + 1; l = q + 18; j = n + 10; d = a + 17; q = g + 14; w = l + 8; e = w + 16; r = j + 17; a = g + 4; g = 18; m = k + 20. If g = 18, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = g + 4, which gives a = 22.\n2. Compute d using d = a + 17, which gives d = 39.\n3. Compute n using n = d + 4, which gives n = 43.\n4. Compute j using j = n + 10, which gives j = 53.\n5. Compute r using r = j + 17, which gives r = 70.\n6. Compute v using v = r + 19, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 225,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = r + 19; n = d + 4; k = e + 1; l = q + 18; j = n + 10; d = a + 17; q = g + 14; w = l + 8; e = w + 16; r = j + 17; a = g + 4; g = 18; m = k + 20. If g = 18, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"b": "v + 10", "u": "b + 9", "p": "u + 5", "w": "p + 17", "l": "w + 3", "t": "l + 3", "e": "v + 8", "k": "e + 16", "o": "k + 13", "g": "o + 7", "j": "g + 18", "f": "j + 14", "v": 13}, "premises": {"v": 13}, "target": "t"}, "answer": {"steps": [["b", "v + 10", 23], ["u", "b + 9", 32], ["p", "u + 5", 37], ["w", "p + 17", 54], ["l", "w + 3", 57], ["t", "l + 3", 60]], "target_var_name": "t", "target_value": 60, "value_dict": {"v": 13, "b": 23, "u": 32, "p": 37, "w": 54, "l": 57, "t": 60}, "is_reverse": false}}
| 226
| 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 = u + 5; b = v + 10; e = v + 8; k = e + 16; w = p + 17; f = j + 14; o = k + 13; g = o + 7; u = b + 9; t = l + 3; j = g + 18; l = w + 3; v = 13. If v = 13, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = v + 10, which gives b = 23.\n2. Compute u using u = b + 9, which gives u = 32.\n3. Compute p using p = u + 5, which gives p = 37.\n4. Compute w using w = p + 17, which gives w = 54.\n5. Compute l using l = w + 3, which gives l = 57.\n6. Compute t using t = l + 3, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 226,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = u + 5; b = v + 10; e = v + 8; k = e + 16; w = p + 17; f = j + 14; o = k + 13; g = o + 7; u = b + 9; t = l + 3; j = g + 18; l = w + 3; v = 13. If v = 13, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 9", "b": "d + 2", "x": "b + 14", "m": "x + 18", "k": "m + 6", "g": "k + 10", "v": "c + 12", "f": "v + 8", "r": "f + 2", "i": "r + 20", "e": "i + 20", "o": "e + 6", "c": 11}, "premises": {"c": 11}, "target": "g"}, "answer": {"steps": [["d", "c + 9", 20], ["b", "d + 2", 22], ["x", "b + 14", 36], ["m", "x + 18", 54], ["k", "m + 6", 60], ["g", "k + 10", 70]], "target_var_name": "g", "target_value": 70, "value_dict": {"c": 11, "d": 20, "b": 22, "x": 36, "m": 54, "k": 60, "g": 70}, "is_reverse": false}}
| 227
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 2; m = x + 18; d = c + 9; x = b + 14; f = v + 8; e = i + 20; c = 11; r = f + 2; i = r + 20; k = m + 6; v = c + 12; o = e + 6; g = k + 10. Given that c = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = c + 9, which gives d = 20.\n2. Compute b using b = d + 2, which gives b = 22.\n3. Compute x using x = b + 14, which gives x = 36.\n4. Compute m using m = x + 18, which gives m = 54.\n5. Compute k using k = m + 6, which gives k = 60.\n6. Compute g using g = k + 10, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 227,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 2; m = x + 18; d = c + 9; x = b + 14; f = v + 8; e = i + 20; c = 11; r = f + 2; i = r + 20; k = m + 6; v = c + 12; o = e + 6; g = k + 10. Given that c = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 13", "v": "z + 14", "b": "v + 11", "e": "b + 17", "f": "e + 10", "h": "f + 2", "m": "c + 15", "d": "m + 15", "s": "d + 5", "r": "s + 3", "j": "r + 7", "x": "j + 11", "c": 20}, "premises": {"c": 20}, "target": "h"}, "answer": {"steps": [["z", "c + 13", 33], ["v", "z + 14", 47], ["b", "v + 11", 58], ["e", "b + 17", 75], ["f", "e + 10", 85], ["h", "f + 2", 87]], "target_var_name": "h", "target_value": 87, "value_dict": {"c": 20, "z": 33, "v": 47, "b": 58, "e": 75, "f": 85, "h": 87}, "is_reverse": false}}
| 228
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 2; s = d + 5; e = b + 17; b = v + 11; z = c + 13; j = r + 7; d = m + 15; c = 20; r = s + 3; x = j + 11; m = c + 15; v = z + 14; f = e + 10. If c = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 13, which gives z = 33.\n2. Compute v using v = z + 14, which gives v = 47.\n3. Compute b using b = v + 11, which gives b = 58.\n4. Compute e using e = b + 17, which gives e = 75.\n5. Compute f using f = e + 10, which gives f = 85.\n6. Compute h using h = f + 2, which gives h = 87.\n\nThus, the final answer is h = \\boxed{87}.",
"index": 228,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = f + 2; s = d + 5; e = b + 17; b = v + 11; z = c + 13; j = r + 7; d = m + 15; c = 20; r = s + 3; x = j + 11; m = c + 15; v = z + 14; f = e + 10. If c = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 12", "n": "f + 10", "h": "n + 14", "j": "h + 9", "y": "j + 17", "l": "y + 16", "b": "g + 1", "k": "b + 6", "t": "k + 13", "x": "t + 20", "u": "x + 3", "a": "u + 18", "g": 4}, "premises": {"g": 4}, "target": "l"}, "answer": {"steps": [["f", "g + 12", 16], ["n", "f + 10", 26], ["h", "n + 14", 40], ["j", "h + 9", 49], ["y", "j + 17", 66], ["l", "y + 16", 82]], "target_var_name": "l", "target_value": 82, "value_dict": {"g": 4, "f": 16, "n": 26, "h": 40, "j": 49, "y": 66, "l": 82}, "is_reverse": false}}
| 229
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 10; t = k + 13; b = g + 1; k = b + 6; x = t + 20; j = h + 9; u = x + 3; a = u + 18; f = g + 12; y = j + 17; l = y + 16; h = n + 14; g = 4. Given that g = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = g + 12, which gives f = 16.\n2. Compute n using n = f + 10, which gives n = 26.\n3. Compute h using h = n + 14, which gives h = 40.\n4. Compute j using j = h + 9, which gives j = 49.\n5. Compute y using y = j + 17, which gives y = 66.\n6. Compute l using l = y + 16, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 229,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 10; t = k + 13; b = g + 1; k = b + 6; x = t + 20; j = h + 9; u = x + 3; a = u + 18; f = g + 12; y = j + 17; l = y + 16; h = n + 14; g = 4. Given that g = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"q": "s + 9", "a": "q + 18", "r": "a + 8", "j": "r + 16", "x": "j + 12", "f": "x + 8", "m": "s + 17", "d": "m + 16", "p": "d + 19", "h": "p + 2", "e": "h + 4", "l": "e + 7", "s": 2}, "premises": {"s": 2}, "target": "f"}, "answer": {"steps": [["q", "s + 9", 11], ["a", "q + 18", 29], ["r", "a + 8", 37], ["j", "r + 16", 53], ["x", "j + 12", 65], ["f", "x + 8", 73]], "target_var_name": "f", "target_value": 73, "value_dict": {"s": 2, "q": 11, "a": 29, "r": 37, "j": 53, "x": 65, "f": 73}, "is_reverse": false}}
| 230
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 16; q = s + 9; e = h + 4; m = s + 17; f = x + 8; a = q + 18; r = a + 8; h = p + 2; l = e + 7; d = m + 16; x = j + 12; p = d + 19; s = 2. If s = 2, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = s + 9, which gives q = 11.\n2. Compute a using a = q + 18, which gives a = 29.\n3. Compute r using r = a + 8, which gives r = 37.\n4. Compute j using j = r + 16, which gives j = 53.\n5. Compute x using x = j + 12, which gives x = 65.\n6. Compute f using f = x + 8, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 230,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 16; q = s + 9; e = h + 4; m = s + 17; f = x + 8; a = q + 18; r = a + 8; h = p + 2; l = e + 7; d = m + 16; x = j + 12; p = d + 19; s = 2. If s = 2, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 5", "e": "h + 5", "w": "e + 12", "f": "w + 11", "j": "f + 14", "v": "j + 12", "x": "u + 9", "n": "x + 18", "m": "n + 20", "c": "m + 8", "g": "c + 3", "k": "g + 17", "u": 14}, "premises": {"u": 14}, "target": "v"}, "answer": {"steps": [["h", "u + 5", 19], ["e", "h + 5", 24], ["w", "e + 12", 36], ["f", "w + 11", 47], ["j", "f + 14", 61], ["v", "j + 12", 73]], "target_var_name": "v", "target_value": 73, "value_dict": {"u": 14, "h": 19, "e": 24, "w": 36, "f": 47, "j": 61, "v": 73}, "is_reverse": false}}
| 231
| 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 = j + 12; e = h + 5; j = f + 14; u = 14; h = u + 5; m = n + 20; w = e + 12; x = u + 9; g = c + 3; n = x + 18; f = w + 11; c = m + 8; k = g + 17. If u = 14, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = u + 5, which gives h = 19.\n2. Compute e using e = h + 5, which gives e = 24.\n3. Compute w using w = e + 12, which gives w = 36.\n4. Compute f using f = w + 11, which gives f = 47.\n5. Compute j using j = f + 14, which gives j = 61.\n6. Compute v using v = j + 12, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 231,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = j + 12; e = h + 5; j = f + 14; u = 14; h = u + 5; m = n + 20; w = e + 12; x = u + 9; g = c + 3; n = x + 18; f = w + 11; c = m + 8; k = g + 17. If u = 14, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 7", "s": "m + 18", "i": "s + 5", "r": "i + 4", "v": "r + 8", "u": "v + 16", "a": "e + 1", "d": "a + 10", "f": "d + 13", "c": "f + 2", "z": "c + 3", "w": "z + 4", "e": 17}, "premises": {"e": 17}, "target": "u"}, "answer": {"steps": [["m", "e + 7", 24], ["s", "m + 18", 42], ["i", "s + 5", 47], ["r", "i + 4", 51], ["v", "r + 8", 59], ["u", "v + 16", 75]], "target_var_name": "u", "target_value": 75, "value_dict": {"e": 17, "m": 24, "s": 42, "i": 47, "r": 51, "v": 59, "u": 75}, "is_reverse": false}}
| 232
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = s + 5; m = e + 7; z = c + 3; w = z + 4; a = e + 1; d = a + 10; v = r + 8; s = m + 18; c = f + 2; f = d + 13; e = 17; r = i + 4; u = v + 16. Given that e = 17, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = e + 7, which gives m = 24.\n2. Compute s using s = m + 18, which gives s = 42.\n3. Compute i using i = s + 5, which gives i = 47.\n4. Compute r using r = i + 4, which gives r = 51.\n5. Compute v using v = r + 8, which gives v = 59.\n6. Compute u using u = v + 16, which gives u = 75.\n\nThus, the final answer is u = \\boxed{75}.",
"index": 232,
"question": "Suppose a collection of variables is related by the following definitions: i = s + 5; m = e + 7; z = c + 3; w = z + 4; a = e + 1; d = a + 10; v = r + 8; s = m + 18; c = f + 2; f = d + 13; e = 17; r = i + 4; u = v + 16. Given that e = 17, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 12", "x": "p + 6", "d": "x + 2", "n": "d + 20", "h": "n + 8", "a": "h + 4", "j": "l + 3", "g": "j + 6", "c": "g + 11", "e": "c + 19", "t": "e + 6", "u": "t + 7", "l": 9}, "premises": {"l": 9}, "target": "a"}, "answer": {"steps": [["p", "l + 12", 21], ["x", "p + 6", 27], ["d", "x + 2", 29], ["n", "d + 20", 49], ["h", "n + 8", 57], ["a", "h + 4", 61]], "target_var_name": "a", "target_value": 61, "value_dict": {"l": 9, "p": 21, "x": 27, "d": 29, "n": 49, "h": 57, "a": 61}, "is_reverse": false}}
| 233
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 12; j = l + 3; t = e + 6; a = h + 4; g = j + 6; x = p + 6; n = d + 20; l = 9; e = c + 19; d = x + 2; u = t + 7; h = n + 8; c = g + 11. If l = 9, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = l + 12, which gives p = 21.\n2. Compute x using x = p + 6, which gives x = 27.\n3. Compute d using d = x + 2, which gives d = 29.\n4. Compute n using n = d + 20, which gives n = 49.\n5. Compute h using h = n + 8, which gives h = 57.\n6. Compute a using a = h + 4, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 233,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 12; j = l + 3; t = e + 6; a = h + 4; g = j + 6; x = p + 6; n = d + 20; l = 9; e = c + 19; d = x + 2; u = t + 7; h = n + 8; c = g + 11. If l = 9, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 18", "h": "y + 20", "t": "h + 8", "d": "t + 11", "i": "d + 6", "v": "i + 1", "s": "l + 12", "g": "s + 3", "f": "g + 2", "p": "f + 20", "b": "p + 15", "q": "b + 9", "l": 19}, "premises": {"l": 19}, "target": "v"}, "answer": {"steps": [["y", "l + 18", 37], ["h", "y + 20", 57], ["t", "h + 8", 65], ["d", "t + 11", 76], ["i", "d + 6", 82], ["v", "i + 1", 83]], "target_var_name": "v", "target_value": 83, "value_dict": {"l": 19, "y": 37, "h": 57, "t": 65, "d": 76, "i": 82, "v": 83}, "is_reverse": false}}
| 234
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 12; i = d + 6; p = f + 20; t = h + 8; h = y + 20; d = t + 11; v = i + 1; f = g + 2; b = p + 15; q = b + 9; y = l + 18; g = s + 3; l = 19. If l = 19, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = l + 18, which gives y = 37.\n2. Compute h using h = y + 20, which gives h = 57.\n3. Compute t using t = h + 8, which gives t = 65.\n4. Compute d using d = t + 11, which gives d = 76.\n5. Compute i using i = d + 6, which gives i = 82.\n6. Compute v using v = i + 1, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 234,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 12; i = d + 6; p = f + 20; t = h + 8; h = y + 20; d = t + 11; v = i + 1; f = g + 2; b = p + 15; q = b + 9; y = l + 18; g = s + 3; l = 19. If l = 19, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"k": "e + 16", "a": "k + 5", "d": "a + 8", "m": "d + 12", "h": "m + 15", "q": "h + 10", "l": "e + 2", "s": "l + 16", "v": "s + 8", "y": "v + 20", "z": "y + 17", "b": "z + 19", "e": 15}, "premises": {"e": 15}, "target": "q"}, "answer": {"steps": [["k", "e + 16", 31], ["a", "k + 5", 36], ["d", "a + 8", 44], ["m", "d + 12", 56], ["h", "m + 15", 71], ["q", "h + 10", 81]], "target_var_name": "q", "target_value": 81, "value_dict": {"e": 15, "k": 31, "a": 36, "d": 44, "m": 56, "h": 71, "q": 81}, "is_reverse": false}}
| 235
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 8; k = e + 16; y = v + 20; e = 15; a = k + 5; q = h + 10; h = m + 15; s = l + 16; l = e + 2; m = d + 12; v = s + 8; z = y + 17; b = z + 19. Given that e = 15, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = e + 16, which gives k = 31.\n2. Compute a using a = k + 5, which gives a = 36.\n3. Compute d using d = a + 8, which gives d = 44.\n4. Compute m using m = d + 12, which gives m = 56.\n5. Compute h using h = m + 15, which gives h = 71.\n6. Compute q using q = h + 10, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 235,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 8; k = e + 16; y = v + 20; e = 15; a = k + 5; q = h + 10; h = m + 15; s = l + 16; l = e + 2; m = d + 12; v = s + 8; z = y + 17; b = z + 19. Given that e = 15, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 4", "f": "a + 11", "j": "f + 3", "v": "j + 7", "u": "v + 5", "s": "u + 19", "e": "i + 10", "z": "e + 4", "b": "z + 19", "k": "b + 5", "l": "k + 6", "p": "l + 14", "i": 19}, "premises": {"i": 19}, "target": "s"}, "answer": {"steps": [["a", "i + 4", 23], ["f", "a + 11", 34], ["j", "f + 3", 37], ["v", "j + 7", 44], ["u", "v + 5", 49], ["s", "u + 19", 68]], "target_var_name": "s", "target_value": 68, "value_dict": {"i": 19, "a": 23, "f": 34, "j": 37, "v": 44, "u": 49, "s": 68}, "is_reverse": false}}
| 236
| 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 = 19; p = l + 14; a = i + 4; l = k + 6; u = v + 5; j = f + 3; v = j + 7; k = b + 5; b = z + 19; f = a + 11; e = i + 10; s = u + 19; z = e + 4. If i = 19, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = i + 4, which gives a = 23.\n2. Compute f using f = a + 11, which gives f = 34.\n3. Compute j using j = f + 3, which gives j = 37.\n4. Compute v using v = j + 7, which gives v = 44.\n5. Compute u using u = v + 5, which gives u = 49.\n6. Compute s using s = u + 19, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 236,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = 19; p = l + 14; a = i + 4; l = k + 6; u = v + 5; j = f + 3; v = j + 7; k = b + 5; b = z + 19; f = a + 11; e = i + 10; s = u + 19; z = e + 4. If i = 19, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"l": "g + 13", "z": "l + 3", "s": "z + 19", "o": "s + 11", "x": "o + 8", "p": "x + 3", "k": "g + 15", "n": "k + 10", "r": "n + 14", "m": "r + 10", "u": "m + 12", "a": "u + 10", "g": 17}, "premises": {"g": 17}, "target": "p"}, "answer": {"steps": [["l", "g + 13", 30], ["z", "l + 3", 33], ["s", "z + 19", 52], ["o", "s + 11", 63], ["x", "o + 8", 71], ["p", "x + 3", 74]], "target_var_name": "p", "target_value": 74, "value_dict": {"g": 17, "l": 30, "z": 33, "s": 52, "o": 63, "x": 71, "p": 74}, "is_reverse": false}}
| 237
| 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 + 10; z = l + 3; x = o + 8; o = s + 11; k = g + 15; l = g + 13; m = r + 10; u = m + 12; r = n + 14; g = 17; a = u + 10; p = x + 3; s = z + 19. If g = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = g + 13, which gives l = 30.\n2. Compute z using z = l + 3, which gives z = 33.\n3. Compute s using s = z + 19, which gives s = 52.\n4. Compute o using o = s + 11, which gives o = 63.\n5. Compute x using x = o + 8, which gives x = 71.\n6. Compute p using p = x + 3, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 237,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = k + 10; z = l + 3; x = o + 8; o = s + 11; k = g + 15; l = g + 13; m = r + 10; u = m + 12; r = n + 14; g = 17; a = u + 10; p = x + 3; s = z + 19. If g = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"q": "y + 16", "i": "q + 11", "l": "i + 16", "v": "l + 3", "e": "v + 1", "t": "e + 5", "s": "y + 4", "w": "s + 6", "x": "w + 11", "o": "x + 15", "p": "o + 16", "a": "p + 5", "y": 14}, "premises": {"y": 14}, "target": "t"}, "answer": {"steps": [["q", "y + 16", 30], ["i", "q + 11", 41], ["l", "i + 16", 57], ["v", "l + 3", 60], ["e", "v + 1", 61], ["t", "e + 5", 66]], "target_var_name": "t", "target_value": 66, "value_dict": {"y": 14, "q": 30, "i": 41, "l": 57, "v": 60, "e": 61, "t": 66}, "is_reverse": false}}
| 238
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 5; x = w + 11; l = i + 16; p = o + 16; a = p + 5; v = l + 3; q = y + 16; o = x + 15; e = v + 1; y = 14; i = q + 11; s = y + 4; w = s + 6. If y = 14, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = y + 16, which gives q = 30.\n2. Compute i using i = q + 11, which gives i = 41.\n3. Compute l using l = i + 16, which gives l = 57.\n4. Compute v using v = l + 3, which gives v = 60.\n5. Compute e using e = v + 1, which gives e = 61.\n6. Compute t using t = e + 5, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 238,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 5; x = w + 11; l = i + 16; p = o + 16; a = p + 5; v = l + 3; q = y + 16; o = x + 15; e = v + 1; y = 14; i = q + 11; s = y + 4; w = s + 6. If y = 14, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 18", "n": "p + 9", "b": "n + 4", "j": "b + 7", "o": "j + 18", "x": "o + 3", "m": "g + 18", "t": "m + 11", "z": "t + 4", "r": "z + 11", "h": "r + 10", "y": "h + 7", "g": 8}, "premises": {"g": 8}, "target": "x"}, "answer": {"steps": [["p", "g + 18", 26], ["n", "p + 9", 35], ["b", "n + 4", 39], ["j", "b + 7", 46], ["o", "j + 18", 64], ["x", "o + 3", 67]], "target_var_name": "x", "target_value": 67, "value_dict": {"g": 8, "p": 26, "n": 35, "b": 39, "j": 46, "o": 64, "x": 67}, "is_reverse": false}}
| 239
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = g + 18; x = o + 3; t = m + 11; j = b + 7; b = n + 4; z = t + 4; r = z + 11; p = g + 18; n = p + 9; g = 8; y = h + 7; o = j + 18; h = r + 10. Given that g = 8, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute p using p = g + 18, which gives p = 26.\n2. Compute n using n = p + 9, which gives n = 35.\n3. Compute b using b = n + 4, which gives b = 39.\n4. Compute j using j = b + 7, which gives j = 46.\n5. Compute o using o = j + 18, which gives o = 64.\n6. Compute x using x = o + 3, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 239,
"question": "Suppose a collection of variables is related by the following definitions: m = g + 18; x = o + 3; t = m + 11; j = b + 7; b = n + 4; z = t + 4; r = z + 11; p = g + 18; n = p + 9; g = 8; y = h + 7; o = j + 18; h = r + 10. Given that g = 8, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 20", "e": "l + 16", "x": "e + 19", "a": "x + 16", "h": "a + 4", "o": "h + 19", "b": "c + 3", "n": "b + 10", "m": "n + 4", "s": "m + 5", "i": "s + 10", "u": "i + 2", "c": 13}, "premises": {"c": 13}, "target": "o"}, "answer": {"steps": [["l", "c + 20", 33], ["e", "l + 16", 49], ["x", "e + 19", 68], ["a", "x + 16", 84], ["h", "a + 4", 88], ["o", "h + 19", 107]], "target_var_name": "o", "target_value": 107, "value_dict": {"c": 13, "l": 33, "e": 49, "x": 68, "a": 84, "h": 88, "o": 107}, "is_reverse": false}}
| 240
| 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 = a + 4; c = 13; m = n + 4; l = c + 20; e = l + 16; x = e + 19; a = x + 16; u = i + 2; b = c + 3; s = m + 5; n = b + 10; o = h + 19; i = s + 10. If c = 13, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 107,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = c + 20, which gives l = 33.\n2. Compute e using e = l + 16, which gives e = 49.\n3. Compute x using x = e + 19, which gives x = 68.\n4. Compute a using a = x + 16, which gives a = 84.\n5. Compute h using h = a + 4, which gives h = 88.\n6. Compute o using o = h + 19, which gives o = 107.\n\nThus, the final answer is o = \\boxed{107}.",
"index": 240,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = a + 4; c = 13; m = n + 4; l = c + 20; e = l + 16; x = e + 19; a = x + 16; u = i + 2; b = c + 3; s = m + 5; n = b + 10; o = h + 19; i = s + 10. If c = 13, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"u": "z + 15", "p": "u + 1", "h": "p + 1", "j": "h + 2", "b": "j + 1", "y": "b + 11", "k": "z + 18", "t": "k + 1", "o": "t + 1", "n": "o + 19", "v": "n + 6", "i": "v + 9", "z": 1}, "premises": {"z": 1}, "target": "y"}, "answer": {"steps": [["u", "z + 15", 16], ["p", "u + 1", 17], ["h", "p + 1", 18], ["j", "h + 2", 20], ["b", "j + 1", 21], ["y", "b + 11", 32]], "target_var_name": "y", "target_value": 32, "value_dict": {"z": 1, "u": 16, "p": 17, "h": 18, "j": 20, "b": 21, "y": 32}, "is_reverse": false}}
| 241
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 1; u = z + 15; t = k + 1; p = u + 1; b = j + 1; k = z + 18; v = n + 6; y = b + 11; j = h + 2; o = t + 1; i = v + 9; n = o + 19; h = p + 1. If z = 1, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 32,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = z + 15, which gives u = 16.\n2. Compute p using p = u + 1, which gives p = 17.\n3. Compute h using h = p + 1, which gives h = 18.\n4. Compute j using j = h + 2, which gives j = 20.\n5. Compute b using b = j + 1, which gives b = 21.\n6. Compute y using y = b + 11, which gives y = 32.\n\nThus, the final answer is y = \\boxed{32}.",
"index": 241,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 1; u = z + 15; t = k + 1; p = u + 1; b = j + 1; k = z + 18; v = n + 6; y = b + 11; j = h + 2; o = t + 1; i = v + 9; n = o + 19; h = p + 1. If z = 1, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 3", "d": "h + 20", "f": "d + 5", "s": "f + 4", "p": "s + 7", "a": "p + 14", "q": "o + 13", "n": "q + 10", "j": "n + 15", "t": "j + 6", "b": "t + 20", "v": "b + 16", "o": 19}, "premises": {"o": 19}, "target": "a"}, "answer": {"steps": [["h", "o + 3", 22], ["d", "h + 20", 42], ["f", "d + 5", 47], ["s", "f + 4", 51], ["p", "s + 7", 58], ["a", "p + 14", 72]], "target_var_name": "a", "target_value": 72, "value_dict": {"o": 19, "h": 22, "d": 42, "f": 47, "s": 51, "p": 58, "a": 72}, "is_reverse": false}}
| 242
| 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 = t + 20; t = j + 6; n = q + 10; q = o + 13; d = h + 20; o = 19; f = d + 5; p = s + 7; v = b + 16; j = n + 15; h = o + 3; a = p + 14; s = f + 4. If o = 19, what is the resulting 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. Compute h using h = o + 3, which gives h = 22.\n2. Compute d using d = h + 20, which gives d = 42.\n3. Compute f using f = d + 5, which gives f = 47.\n4. Compute s using s = f + 4, which gives s = 51.\n5. Compute p using p = s + 7, which gives p = 58.\n6. Compute a using a = p + 14, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 242,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 20; t = j + 6; n = q + 10; q = o + 13; d = h + 20; o = 19; f = d + 5; p = s + 7; v = b + 16; j = n + 15; h = o + 3; a = p + 14; s = f + 4. If o = 19, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 12", "q": "g + 4", "a": "q + 19", "u": "a + 18", "m": "u + 1", "v": "m + 2", "s": "l + 20", "b": "s + 12", "z": "b + 14", "y": "z + 3", "d": "y + 12", "o": "d + 4", "l": 18}, "premises": {"l": 18}, "target": "v"}, "answer": {"steps": [["g", "l + 12", 30], ["q", "g + 4", 34], ["a", "q + 19", 53], ["u", "a + 18", 71], ["m", "u + 1", 72], ["v", "m + 2", 74]], "target_var_name": "v", "target_value": 74, "value_dict": {"l": 18, "g": 30, "q": 34, "a": 53, "u": 71, "m": 72, "v": 74}, "is_reverse": false}}
| 243
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 1; q = g + 4; g = l + 12; u = a + 18; a = q + 19; v = m + 2; d = y + 12; l = 18; s = l + 20; z = b + 14; o = d + 4; y = z + 3; b = s + 12. Given that l = 18, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 12, which gives g = 30.\n2. Compute q using q = g + 4, which gives q = 34.\n3. Compute a using a = q + 19, which gives a = 53.\n4. Compute u using u = a + 18, which gives u = 71.\n5. Compute m using m = u + 1, which gives m = 72.\n6. Compute v using v = m + 2, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 243,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 1; q = g + 4; g = l + 12; u = a + 18; a = q + 19; v = m + 2; d = y + 12; l = 18; s = l + 20; z = b + 14; o = d + 4; y = z + 3; b = s + 12. Given that l = 18, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 8", "k": "v + 5", "p": "k + 20", "o": "p + 14", "q": "o + 6", "l": "q + 19", "d": "f + 14", "b": "d + 17", "i": "b + 17", "h": "i + 9", "r": "h + 20", "c": "r + 8", "f": 4}, "premises": {"f": 4}, "target": "l"}, "answer": {"steps": [["v", "f + 8", 12], ["k", "v + 5", 17], ["p", "k + 20", 37], ["o", "p + 14", 51], ["q", "o + 6", 57], ["l", "q + 19", 76]], "target_var_name": "l", "target_value": 76, "value_dict": {"f": 4, "v": 12, "k": 17, "p": 37, "o": 51, "q": 57, "l": 76}, "is_reverse": false}}
| 244
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = p + 14; i = b + 17; r = h + 20; l = q + 19; d = f + 14; c = r + 8; q = o + 6; v = f + 8; p = k + 20; b = d + 17; k = v + 5; h = i + 9; f = 4. If f = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = f + 8, which gives v = 12.\n2. Compute k using k = v + 5, which gives k = 17.\n3. Compute p using p = k + 20, which gives p = 37.\n4. Compute o using o = p + 14, which gives o = 51.\n5. Compute q using q = o + 6, which gives q = 57.\n6. Compute l using l = q + 19, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 244,
"question": "Consider a system of variables where each variable is defined as follows: o = p + 14; i = b + 17; r = h + 20; l = q + 19; d = f + 14; c = r + 8; q = o + 6; v = f + 8; p = k + 20; b = d + 17; k = v + 5; h = i + 9; f = 4. If f = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 6", "h": "j + 5", "y": "h + 3", "a": "y + 5", "e": "a + 19", "k": "e + 5", "w": "r + 8", "v": "w + 12", "d": "v + 15", "f": "d + 11", "x": "f + 15", "u": "x + 11", "r": 2}, "premises": {"r": 2}, "target": "k"}, "answer": {"steps": [["j", "r + 6", 8], ["h", "j + 5", 13], ["y", "h + 3", 16], ["a", "y + 5", 21], ["e", "a + 19", 40], ["k", "e + 5", 45]], "target_var_name": "k", "target_value": 45, "value_dict": {"r": 2, "j": 8, "h": 13, "y": 16, "a": 21, "e": 40, "k": 45}, "is_reverse": false}}
| 245
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 5; w = r + 8; r = 2; x = f + 15; h = j + 5; j = r + 6; e = a + 19; a = y + 5; f = d + 11; d = v + 15; u = x + 11; v = w + 12; y = h + 3. If r = 2, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = r + 6, which gives j = 8.\n2. Compute h using h = j + 5, which gives h = 13.\n3. Compute y using y = h + 3, which gives y = 16.\n4. Compute a using a = y + 5, which gives a = 21.\n5. Compute e using e = a + 19, which gives e = 40.\n6. Compute k using k = e + 5, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 245,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = e + 5; w = r + 8; r = 2; x = f + 15; h = j + 5; j = r + 6; e = a + 19; a = y + 5; f = d + 11; d = v + 15; u = x + 11; v = w + 12; y = h + 3. If r = 2, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "h + 11", "s": "e + 11", "z": "s + 7", "p": "z + 3", "n": "p + 17", "i": "n + 2", "k": "h + 13", "x": "k + 17", "b": "x + 18", "a": "b + 13", "u": "a + 8", "v": "u + 16", "h": 9}, "premises": {"h": 9}, "target": "i"}, "answer": {"steps": [["e", "h + 11", 20], ["s", "e + 11", 31], ["z", "s + 7", 38], ["p", "z + 3", 41], ["n", "p + 17", 58], ["i", "n + 2", 60]], "target_var_name": "i", "target_value": 60, "value_dict": {"h": 9, "e": 20, "s": 31, "z": 38, "p": 41, "n": 58, "i": 60}, "is_reverse": false}}
| 246
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 7; s = e + 11; k = h + 13; n = p + 17; a = b + 13; p = z + 3; h = 9; v = u + 16; x = k + 17; u = a + 8; e = h + 11; i = n + 2; b = x + 18. If h = 9, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = h + 11, which gives e = 20.\n2. Compute s using s = e + 11, which gives s = 31.\n3. Compute z using z = s + 7, which gives z = 38.\n4. Compute p using p = z + 3, which gives p = 41.\n5. Compute n using n = p + 17, which gives n = 58.\n6. Compute i using i = n + 2, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 246,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 7; s = e + 11; k = h + 13; n = p + 17; a = b + 13; p = z + 3; h = 9; v = u + 16; x = k + 17; u = a + 8; e = h + 11; i = n + 2; b = x + 18. If h = 9, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 5", "w": "g + 20", "l": "w + 15", "x": "l + 6", "d": "x + 7", "t": "d + 11", "n": "z + 12", "e": "n + 20", "u": "e + 15", "h": "u + 6", "a": "h + 4", "y": "a + 1", "z": 4}, "premises": {"z": 4}, "target": "t"}, "answer": {"steps": [["g", "z + 5", 9], ["w", "g + 20", 29], ["l", "w + 15", 44], ["x", "l + 6", 50], ["d", "x + 7", 57], ["t", "d + 11", 68]], "target_var_name": "t", "target_value": 68, "value_dict": {"z": 4, "g": 9, "w": 29, "l": 44, "x": 50, "d": 57, "t": 68}, "is_reverse": false}}
| 247
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = 4; g = z + 5; h = u + 6; n = z + 12; u = e + 15; y = a + 1; a = h + 4; e = n + 20; d = x + 7; w = g + 20; x = l + 6; l = w + 15; t = d + 11. If z = 4, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = z + 5, which gives g = 9.\n2. Compute w using w = g + 20, which gives w = 29.\n3. Compute l using l = w + 15, which gives l = 44.\n4. Compute x using x = l + 6, which gives x = 50.\n5. Compute d using d = x + 7, which gives d = 57.\n6. Compute t using t = d + 11, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 247,
"question": "Consider a system of variables where each variable is defined as follows: z = 4; g = z + 5; h = u + 6; n = z + 12; u = e + 15; y = a + 1; a = h + 4; e = n + 20; d = x + 7; w = g + 20; x = l + 6; l = w + 15; t = d + 11. If z = 4, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "c + 15", "q": "z + 7", "v": "q + 8", "g": "v + 7", "n": "g + 18", "s": "n + 8", "u": "c + 10", "e": "u + 6", "p": "e + 18", "j": "p + 18", "b": "j + 14", "l": "b + 16", "c": 7}, "premises": {"c": 7}, "target": "s"}, "answer": {"steps": [["z", "c + 15", 22], ["q", "z + 7", 29], ["v", "q + 8", 37], ["g", "v + 7", 44], ["n", "g + 18", 62], ["s", "n + 8", 70]], "target_var_name": "s", "target_value": 70, "value_dict": {"c": 7, "z": 22, "q": 29, "v": 37, "g": 44, "n": 62, "s": 70}, "is_reverse": false}}
| 248
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 8; e = u + 6; g = v + 7; q = z + 7; u = c + 10; c = 7; v = q + 8; z = c + 15; p = e + 18; n = g + 18; l = b + 16; b = j + 14; j = p + 18. If c = 7, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute z using z = c + 15, which gives z = 22.\n2. Compute q using q = z + 7, which gives q = 29.\n3. Compute v using v = q + 8, which gives v = 37.\n4. Compute g using g = v + 7, which gives g = 44.\n5. Compute n using n = g + 18, which gives n = 62.\n6. Compute s using s = n + 8, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 248,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 8; e = u + 6; g = v + 7; q = z + 7; u = c + 10; c = 7; v = q + 8; z = c + 15; p = e + 18; n = g + 18; l = b + 16; b = j + 14; j = p + 18. If c = 7, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 13", "q": "w + 19", "c": "q + 14", "j": "c + 10", "e": "j + 11", "z": "e + 20", "n": "a + 7", "h": "n + 2", "p": "h + 4", "l": "p + 3", "m": "l + 8", "i": "m + 8", "a": 13}, "premises": {"a": 13}, "target": "z"}, "answer": {"steps": [["w", "a + 13", 26], ["q", "w + 19", 45], ["c", "q + 14", 59], ["j", "c + 10", 69], ["e", "j + 11", 80], ["z", "e + 20", 100]], "target_var_name": "z", "target_value": 100, "value_dict": {"a": 13, "w": 26, "q": 45, "c": 59, "j": 69, "e": 80, "z": 100}, "is_reverse": false}}
| 249
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = j + 11; c = q + 14; w = a + 13; a = 13; i = m + 8; h = n + 2; q = w + 19; l = p + 3; j = c + 10; m = l + 8; z = e + 20; n = a + 7; p = h + 4. Given that a = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = a + 13, which gives w = 26.\n2. Compute q using q = w + 19, which gives q = 45.\n3. Compute c using c = q + 14, which gives c = 59.\n4. Compute j using j = c + 10, which gives j = 69.\n5. Compute e using e = j + 11, which gives e = 80.\n6. Compute z using z = e + 20, which gives z = 100.\n\nThus, the final answer is z = \\boxed{100}.",
"index": 249,
"question": "Suppose a collection of variables is related by the following definitions: e = j + 11; c = q + 14; w = a + 13; a = 13; i = m + 8; h = n + 2; q = w + 19; l = p + 3; j = c + 10; m = l + 8; z = e + 20; n = a + 7; p = h + 4. Given that a = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 10", "d": "s + 7", "k": "d + 13", "f": "k + 12", "q": "f + 4", "g": "q + 12", "r": "e + 18", "o": "r + 4", "u": "o + 9", "m": "u + 10", "a": "m + 9", "v": "a + 17", "e": 9}, "premises": {"e": 9}, "target": "g"}, "answer": {"steps": [["s", "e + 10", 19], ["d", "s + 7", 26], ["k", "d + 13", 39], ["f", "k + 12", 51], ["q", "f + 4", 55], ["g", "q + 12", 67]], "target_var_name": "g", "target_value": 67, "value_dict": {"e": 9, "s": 19, "d": 26, "k": 39, "f": 51, "q": 55, "g": 67}, "is_reverse": false}}
| 250
| 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 = k + 12; o = r + 4; u = o + 9; k = d + 13; v = a + 17; a = m + 9; e = 9; s = e + 10; m = u + 10; r = e + 18; q = f + 4; g = q + 12; d = s + 7. If e = 9, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = e + 10, which gives s = 19.\n2. Compute d using d = s + 7, which gives d = 26.\n3. Compute k using k = d + 13, which gives k = 39.\n4. Compute f using f = k + 12, which gives f = 51.\n5. Compute q using q = f + 4, which gives q = 55.\n6. Compute g using g = q + 12, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 250,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 12; o = r + 4; u = o + 9; k = d + 13; v = a + 17; a = m + 9; e = 9; s = e + 10; m = u + 10; r = e + 18; q = f + 4; g = q + 12; d = s + 7. If e = 9, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"k": "b + 10", "x": "k + 11", "v": "x + 19", "a": "v + 4", "z": "a + 4", "q": "z + 3", "w": "b + 7", "y": "w + 15", "o": "y + 6", "j": "o + 1", "u": "j + 9", "i": "u + 12", "b": 16}, "premises": {"b": 16}, "target": "q"}, "answer": {"steps": [["k", "b + 10", 26], ["x", "k + 11", 37], ["v", "x + 19", 56], ["a", "v + 4", 60], ["z", "a + 4", 64], ["q", "z + 3", 67]], "target_var_name": "q", "target_value": 67, "value_dict": {"b": 16, "k": 26, "x": 37, "v": 56, "a": 60, "z": 64, "q": 67}, "is_reverse": false}}
| 251
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 1; i = u + 12; u = j + 9; x = k + 11; b = 16; z = a + 4; v = x + 19; w = b + 7; a = v + 4; k = b + 10; y = w + 15; q = z + 3; o = y + 6. If b = 16, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = b + 10, which gives k = 26.\n2. Compute x using x = k + 11, which gives x = 37.\n3. Compute v using v = x + 19, which gives v = 56.\n4. Compute a using a = v + 4, which gives a = 60.\n5. Compute z using z = a + 4, which gives z = 64.\n6. Compute q using q = z + 3, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 251,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 1; i = u + 12; u = j + 9; x = k + 11; b = 16; z = a + 4; v = x + 19; w = b + 7; a = v + 4; k = b + 10; y = w + 15; q = z + 3; o = y + 6. If b = 16, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 12", "h": "b + 7", "u": "h + 16", "e": "u + 2", "t": "e + 16", "j": "t + 3", "n": "s + 9", "f": "n + 5", "z": "f + 7", "m": "z + 19", "p": "m + 7", "a": "p + 12", "s": 12}, "premises": {"s": 12}, "target": "j"}, "answer": {"steps": [["b", "s + 12", 24], ["h", "b + 7", 31], ["u", "h + 16", 47], ["e", "u + 2", 49], ["t", "e + 16", 65], ["j", "t + 3", 68]], "target_var_name": "j", "target_value": 68, "value_dict": {"s": 12, "b": 24, "h": 31, "u": 47, "e": 49, "t": 65, "j": 68}, "is_reverse": false}}
| 252
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 5; n = s + 9; h = b + 7; t = e + 16; j = t + 3; e = u + 2; s = 12; b = s + 12; a = p + 12; p = m + 7; m = z + 19; u = h + 16; z = f + 7. Given that s = 12, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = s + 12, which gives b = 24.\n2. Compute h using h = b + 7, which gives h = 31.\n3. Compute u using u = h + 16, which gives u = 47.\n4. Compute e using e = u + 2, which gives e = 49.\n5. Compute t using t = e + 16, which gives t = 65.\n6. Compute j using j = t + 3, which gives j = 68.\n\nThus, the final answer is j = \\boxed{68}.",
"index": 252,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 5; n = s + 9; h = b + 7; t = e + 16; j = t + 3; e = u + 2; s = 12; b = s + 12; a = p + 12; p = m + 7; m = z + 19; u = h + 16; z = f + 7. Given that s = 12, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"l": "s + 17", "m": "l + 4", "t": "m + 8", "i": "t + 2", "v": "i + 20", "e": "v + 17", "j": "s + 1", "r": "j + 12", "p": "r + 19", "u": "p + 18", "d": "u + 6", "g": "d + 15", "s": 1}, "premises": {"s": 1}, "target": "e"}, "answer": {"steps": [["l", "s + 17", 18], ["m", "l + 4", 22], ["t", "m + 8", 30], ["i", "t + 2", 32], ["v", "i + 20", 52], ["e", "v + 17", 69]], "target_var_name": "e", "target_value": 69, "value_dict": {"s": 1, "l": 18, "m": 22, "t": 30, "i": 32, "v": 52, "e": 69}, "is_reverse": false}}
| 253
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 12; v = i + 20; m = l + 4; p = r + 19; j = s + 1; g = d + 15; e = v + 17; l = s + 17; u = p + 18; t = m + 8; d = u + 6; i = t + 2; s = 1. If s = 1, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = s + 17, which gives l = 18.\n2. Compute m using m = l + 4, which gives m = 22.\n3. Compute t using t = m + 8, which gives t = 30.\n4. Compute i using i = t + 2, which gives i = 32.\n5. Compute v using v = i + 20, which gives v = 52.\n6. Compute e using e = v + 17, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 253,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 12; v = i + 20; m = l + 4; p = r + 19; j = s + 1; g = d + 15; e = v + 17; l = s + 17; u = p + 18; t = m + 8; d = u + 6; i = t + 2; s = 1. If s = 1, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 14", "r": "k + 3", "s": "r + 4", "e": "s + 4", "b": "e + 7", "c": "b + 1", "m": "f + 9", "q": "m + 20", "l": "q + 20", "i": "l + 20", "d": "i + 6", "j": "d + 18", "f": 16}, "premises": {"f": 16}, "target": "c"}, "answer": {"steps": [["k", "f + 14", 30], ["r", "k + 3", 33], ["s", "r + 4", 37], ["e", "s + 4", 41], ["b", "e + 7", 48], ["c", "b + 1", 49]], "target_var_name": "c", "target_value": 49, "value_dict": {"f": 16, "k": 30, "r": 33, "s": 37, "e": 41, "b": 48, "c": 49}, "is_reverse": false}}
| 254
| 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 = i + 6; s = r + 4; l = q + 20; k = f + 14; q = m + 20; b = e + 7; c = b + 1; j = d + 18; r = k + 3; f = 16; i = l + 20; m = f + 9; e = s + 4. If f = 16, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = f + 14, which gives k = 30.\n2. Compute r using r = k + 3, which gives r = 33.\n3. Compute s using s = r + 4, which gives s = 37.\n4. Compute e using e = s + 4, which gives e = 41.\n5. Compute b using b = e + 7, which gives b = 48.\n6. Compute c using c = b + 1, which gives c = 49.\n\nThus, the final answer is c = \\boxed{49}.",
"index": 254,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = i + 6; s = r + 4; l = q + 20; k = f + 14; q = m + 20; b = e + 7; c = b + 1; j = d + 18; r = k + 3; f = 16; i = l + 20; m = f + 9; e = s + 4. If f = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"g": "l + 3", "e": "g + 17", "h": "e + 9", "m": "h + 8", "s": "m + 2", "p": "s + 16", "c": "l + 16", "n": "c + 13", "f": "n + 12", "r": "f + 6", "j": "r + 20", "k": "j + 8", "l": 11}, "premises": {"l": 11}, "target": "p"}, "answer": {"steps": [["g", "l + 3", 14], ["e", "g + 17", 31], ["h", "e + 9", 40], ["m", "h + 8", 48], ["s", "m + 2", 50], ["p", "s + 16", 66]], "target_var_name": "p", "target_value": 66, "value_dict": {"l": 11, "g": 14, "e": 31, "h": 40, "m": 48, "s": 50, "p": 66}, "is_reverse": false}}
| 255
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = n + 12; j = r + 20; l = 11; k = j + 8; m = h + 8; r = f + 6; n = c + 13; s = m + 2; g = l + 3; h = e + 9; e = g + 17; c = l + 16; p = s + 16. If l = 11, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = l + 3, which gives g = 14.\n2. Compute e using e = g + 17, which gives e = 31.\n3. Compute h using h = e + 9, which gives h = 40.\n4. Compute m using m = h + 8, which gives m = 48.\n5. Compute s using s = m + 2, which gives s = 50.\n6. Compute p using p = s + 16, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 255,
"question": "Consider a system of variables where each variable is defined as follows: f = n + 12; j = r + 20; l = 11; k = j + 8; m = h + 8; r = f + 6; n = c + 13; s = m + 2; g = l + 3; h = e + 9; e = g + 17; c = l + 16; p = s + 16. If l = 11, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"h": "r + 18", "w": "h + 19", "j": "w + 13", "b": "j + 19", "y": "b + 13", "e": "y + 1", "i": "r + 14", "c": "i + 19", "f": "c + 4", "v": "f + 8", "u": "v + 20", "s": "u + 12", "r": 16}, "premises": {"r": 16}, "target": "e"}, "answer": {"steps": [["h", "r + 18", 34], ["w", "h + 19", 53], ["j", "w + 13", 66], ["b", "j + 19", 85], ["y", "b + 13", 98], ["e", "y + 1", 99]], "target_var_name": "e", "target_value": 99, "value_dict": {"r": 16, "h": 34, "w": 53, "j": 66, "b": 85, "y": 98, "e": 99}, "is_reverse": false}}
| 256
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 20; b = j + 19; r = 16; h = r + 18; y = b + 13; i = r + 14; w = h + 19; s = u + 12; c = i + 19; f = c + 4; e = y + 1; j = w + 13; v = f + 8. Given that r = 16, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = r + 18, which gives h = 34.\n2. Compute w using w = h + 19, which gives w = 53.\n3. Compute j using j = w + 13, which gives j = 66.\n4. Compute b using b = j + 19, which gives b = 85.\n5. Compute y using y = b + 13, which gives y = 98.\n6. Compute e using e = y + 1, which gives e = 99.\n\nThus, the final answer is e = \\boxed{99}.",
"index": 256,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 20; b = j + 19; r = 16; h = r + 18; y = b + 13; i = r + 14; w = h + 19; s = u + 12; c = i + 19; f = c + 4; e = y + 1; j = w + 13; v = f + 8. Given that r = 16, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 9", "u": "x + 19", "r": "u + 8", "q": "r + 19", "w": "q + 14", "j": "w + 13", "o": "k + 17", "e": "o + 2", "y": "e + 16", "p": "y + 10", "n": "p + 18", "d": "n + 11", "k": 16}, "premises": {"k": 16}, "target": "j"}, "answer": {"steps": [["x", "k + 9", 25], ["u", "x + 19", 44], ["r", "u + 8", 52], ["q", "r + 19", 71], ["w", "q + 14", 85], ["j", "w + 13", 98]], "target_var_name": "j", "target_value": 98, "value_dict": {"k": 16, "x": 25, "u": 44, "r": 52, "q": 71, "w": 85, "j": 98}, "is_reverse": false}}
| 257
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = n + 11; j = w + 13; r = u + 8; q = r + 19; p = y + 10; n = p + 18; y = e + 16; k = 16; u = x + 19; w = q + 14; e = o + 2; o = k + 17; x = k + 9. Given that k = 16, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = k + 9, which gives x = 25.\n2. Compute u using u = x + 19, which gives u = 44.\n3. Compute r using r = u + 8, which gives r = 52.\n4. Compute q using q = r + 19, which gives q = 71.\n5. Compute w using w = q + 14, which gives w = 85.\n6. Compute j using j = w + 13, which gives j = 98.\n\nThus, the final answer is j = \\boxed{98}.",
"index": 257,
"question": "Suppose a collection of variables is related by the following definitions: d = n + 11; j = w + 13; r = u + 8; q = r + 19; p = y + 10; n = p + 18; y = e + 16; k = 16; u = x + 19; w = q + 14; e = o + 2; o = k + 17; x = k + 9. Given that k = 16, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "r + 17", "h": "n + 18", "v": "h + 6", "t": "v + 15", "x": "t + 20", "w": "x + 9", "z": "r + 20", "g": "z + 19", "e": "g + 7", "c": "e + 19", "m": "c + 6", "u": "m + 10", "r": 4}, "premises": {"r": 4}, "target": "w"}, "answer": {"steps": [["n", "r + 17", 21], ["h", "n + 18", 39], ["v", "h + 6", 45], ["t", "v + 15", 60], ["x", "t + 20", 80], ["w", "x + 9", 89]], "target_var_name": "w", "target_value": 89, "value_dict": {"r": 4, "n": 21, "h": 39, "v": 45, "t": 60, "x": 80, "w": 89}, "is_reverse": false}}
| 258
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 20; h = n + 18; x = t + 20; g = z + 19; t = v + 15; c = e + 19; m = c + 6; w = x + 9; n = r + 17; v = h + 6; u = m + 10; e = g + 7; r = 4. If r = 4, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute n using n = r + 17, which gives n = 21.\n2. Compute h using h = n + 18, which gives h = 39.\n3. Compute v using v = h + 6, which gives v = 45.\n4. Compute t using t = v + 15, which gives t = 60.\n5. Compute x using x = t + 20, which gives x = 80.\n6. Compute w using w = x + 9, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 258,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 20; h = n + 18; x = t + 20; g = z + 19; t = v + 15; c = e + 19; m = c + 6; w = x + 9; n = r + 17; v = h + 6; u = m + 10; e = g + 7; r = 4. If r = 4, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "t + 14", "y": "x + 11", "l": "y + 12", "k": "l + 8", "z": "k + 6", "q": "z + 4", "h": "t + 2", "v": "h + 19", "n": "v + 15", "s": "n + 8", "a": "s + 12", "i": "a + 11", "t": 20}, "premises": {"t": 20}, "target": "q"}, "answer": {"steps": [["x", "t + 14", 34], ["y", "x + 11", 45], ["l", "y + 12", 57], ["k", "l + 8", 65], ["z", "k + 6", 71], ["q", "z + 4", 75]], "target_var_name": "q", "target_value": 75, "value_dict": {"t": 20, "x": 34, "y": 45, "l": 57, "k": 65, "z": 71, "q": 75}, "is_reverse": false}}
| 259
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = n + 8; y = x + 11; h = t + 2; i = a + 11; a = s + 12; k = l + 8; x = t + 14; t = 20; v = h + 19; q = z + 4; n = v + 15; z = k + 6; l = y + 12. If t = 20, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = t + 14, which gives x = 34.\n2. Compute y using y = x + 11, which gives y = 45.\n3. Compute l using l = y + 12, which gives l = 57.\n4. Compute k using k = l + 8, which gives k = 65.\n5. Compute z using z = k + 6, which gives z = 71.\n6. Compute q using q = z + 4, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 259,
"question": "Consider a system of variables where each variable is defined as follows: s = n + 8; y = x + 11; h = t + 2; i = a + 11; a = s + 12; k = l + 8; x = t + 14; t = 20; v = h + 19; q = z + 4; n = v + 15; z = k + 6; l = y + 12. If t = 20, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 1", "o": "k + 17", "h": "o + 11", "d": "h + 15", "w": "d + 11", "s": "w + 9", "c": "m + 10", "l": "c + 4", "p": "l + 12", "y": "p + 2", "e": "y + 2", "v": "e + 5", "m": 11}, "premises": {"m": 11}, "target": "s"}, "answer": {"steps": [["k", "m + 1", 12], ["o", "k + 17", 29], ["h", "o + 11", 40], ["d", "h + 15", 55], ["w", "d + 11", 66], ["s", "w + 9", 75]], "target_var_name": "s", "target_value": 75, "value_dict": {"m": 11, "k": 12, "o": 29, "h": 40, "d": 55, "w": 66, "s": 75}, "is_reverse": false}}
| 260
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 12; l = c + 4; v = e + 5; o = k + 17; s = w + 9; e = y + 2; w = d + 11; h = o + 11; d = h + 15; y = p + 2; m = 11; k = m + 1; c = m + 10. If m = 11, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute k using k = m + 1, which gives k = 12.\n2. Compute o using o = k + 17, which gives o = 29.\n3. Compute h using h = o + 11, which gives h = 40.\n4. Compute d using d = h + 15, which gives d = 55.\n5. Compute w using w = d + 11, which gives w = 66.\n6. Compute s using s = w + 9, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 260,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 12; l = c + 4; v = e + 5; o = k + 17; s = w + 9; e = y + 2; w = d + 11; h = o + 11; d = h + 15; y = p + 2; m = 11; k = m + 1; c = m + 10. If m = 11, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "m + 3", "q": "y + 3", "j": "q + 15", "n": "j + 2", "g": "n + 5", "d": "g + 14", "r": "m + 2", "p": "r + 5", "b": "p + 5", "e": "b + 20", "i": "e + 7", "w": "i + 9", "m": 8}, "premises": {"m": 8}, "target": "d"}, "answer": {"steps": [["y", "m + 3", 11], ["q", "y + 3", 14], ["j", "q + 15", 29], ["n", "j + 2", 31], ["g", "n + 5", 36], ["d", "g + 14", 50]], "target_var_name": "d", "target_value": 50, "value_dict": {"m": 8, "y": 11, "q": 14, "j": 29, "n": 31, "g": 36, "d": 50}, "is_reverse": false}}
| 261
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = m + 2; b = p + 5; d = g + 14; y = m + 3; n = j + 2; w = i + 9; j = q + 15; e = b + 20; g = n + 5; m = 8; q = y + 3; p = r + 5; i = e + 7. Given that m = 8, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = m + 3, which gives y = 11.\n2. Compute q using q = y + 3, which gives q = 14.\n3. Compute j using j = q + 15, which gives j = 29.\n4. Compute n using n = j + 2, which gives n = 31.\n5. Compute g using g = n + 5, which gives g = 36.\n6. Compute d using d = g + 14, which gives d = 50.\n\nThus, the final answer is d = \\boxed{50}.",
"index": 261,
"question": "Suppose a collection of variables is related by the following definitions: r = m + 2; b = p + 5; d = g + 14; y = m + 3; n = j + 2; w = i + 9; j = q + 15; e = b + 20; g = n + 5; m = 8; q = y + 3; p = r + 5; i = e + 7. Given that m = 8, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 12", "y": "e + 10", "c": "y + 8", "j": "c + 18", "v": "j + 16", "d": "v + 1", "t": "w + 19", "q": "t + 8", "a": "q + 19", "p": "a + 7", "x": "p + 14", "b": "x + 16", "w": 12}, "premises": {"w": 12}, "target": "d"}, "answer": {"steps": [["e", "w + 12", 24], ["y", "e + 10", 34], ["c", "y + 8", 42], ["j", "c + 18", 60], ["v", "j + 16", 76], ["d", "v + 1", 77]], "target_var_name": "d", "target_value": 77, "value_dict": {"w": 12, "e": 24, "y": 34, "c": 42, "j": 60, "v": 76, "d": 77}, "is_reverse": false}}
| 262
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = 12; c = y + 8; t = w + 19; j = c + 18; a = q + 19; v = j + 16; q = t + 8; e = w + 12; y = e + 10; b = x + 16; p = a + 7; x = p + 14; d = v + 1. If w = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute e using e = w + 12, which gives e = 24.\n2. Compute y using y = e + 10, which gives y = 34.\n3. Compute c using c = y + 8, which gives c = 42.\n4. Compute j using j = c + 18, which gives j = 60.\n5. Compute v using v = j + 16, which gives v = 76.\n6. Compute d using d = v + 1, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 262,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 12; c = y + 8; t = w + 19; j = c + 18; a = q + 19; v = j + 16; q = t + 8; e = w + 12; y = e + 10; b = x + 16; p = a + 7; x = p + 14; d = v + 1. If w = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 12", "w": "y + 1", "l": "w + 6", "j": "l + 7", "v": "j + 11", "i": "v + 11", "u": "k + 4", "p": "u + 3", "x": "p + 14", "f": "x + 6", "a": "f + 19", "o": "a + 2", "k": 8}, "premises": {"k": 8}, "target": "i"}, "answer": {"steps": [["y", "k + 12", 20], ["w", "y + 1", 21], ["l", "w + 6", 27], ["j", "l + 7", 34], ["v", "j + 11", 45], ["i", "v + 11", 56]], "target_var_name": "i", "target_value": 56, "value_dict": {"k": 8, "y": 20, "w": 21, "l": 27, "j": 34, "v": 45, "i": 56}, "is_reverse": false}}
| 263
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 6; o = a + 2; k = 8; x = p + 14; y = k + 12; a = f + 19; i = v + 11; j = l + 7; u = k + 4; p = u + 3; v = j + 11; w = y + 1; f = x + 6. Given that k = 8, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = k + 12, which gives y = 20.\n2. Compute w using w = y + 1, which gives w = 21.\n3. Compute l using l = w + 6, which gives l = 27.\n4. Compute j using j = l + 7, which gives j = 34.\n5. Compute v using v = j + 11, which gives v = 45.\n6. Compute i using i = v + 11, which gives i = 56.\n\nThus, the final answer is i = \\boxed{56}.",
"index": 263,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 6; o = a + 2; k = 8; x = p + 14; y = k + 12; a = f + 19; i = v + 11; j = l + 7; u = k + 4; p = u + 3; v = j + 11; w = y + 1; f = x + 6. Given that k = 8, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 20", "k": "x + 4", "c": "k + 14", "s": "c + 13", "j": "s + 11", "q": "j + 16", "m": "e + 10", "f": "m + 11", "l": "f + 7", "r": "l + 3", "y": "r + 17", "b": "y + 12", "e": 16}, "premises": {"e": 16}, "target": "q"}, "answer": {"steps": [["x", "e + 20", 36], ["k", "x + 4", 40], ["c", "k + 14", 54], ["s", "c + 13", 67], ["j", "s + 11", 78], ["q", "j + 16", 94]], "target_var_name": "q", "target_value": 94, "value_dict": {"e": 16, "x": 36, "k": 40, "c": 54, "s": 67, "j": 78, "q": 94}, "is_reverse": false}}
| 264
| 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 = m + 11; k = x + 4; s = c + 13; x = e + 20; q = j + 16; b = y + 12; j = s + 11; y = r + 17; c = k + 14; m = e + 10; l = f + 7; r = l + 3; e = 16. If e = 16, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = e + 20, which gives x = 36.\n2. Compute k using k = x + 4, which gives k = 40.\n3. Compute c using c = k + 14, which gives c = 54.\n4. Compute s using s = c + 13, which gives s = 67.\n5. Compute j using j = s + 11, which gives j = 78.\n6. Compute q using q = j + 16, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 264,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 11; k = x + 4; s = c + 13; x = e + 20; q = j + 16; b = y + 12; j = s + 11; y = r + 17; c = k + 14; m = e + 10; l = f + 7; r = l + 3; e = 16. If e = 16, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 12", "s": "n + 3", "f": "s + 12", "i": "f + 5", "o": "i + 11", "x": "o + 20", "k": "p + 12", "m": "k + 4", "q": "m + 16", "g": "q + 13", "u": "g + 12", "h": "u + 13", "p": 2}, "premises": {"p": 2}, "target": "x"}, "answer": {"steps": [["n", "p + 12", 14], ["s", "n + 3", 17], ["f", "s + 12", 29], ["i", "f + 5", 34], ["o", "i + 11", 45], ["x", "o + 20", 65]], "target_var_name": "x", "target_value": 65, "value_dict": {"p": 2, "n": 14, "s": 17, "f": 29, "i": 34, "o": 45, "x": 65}, "is_reverse": false}}
| 265
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = 2; m = k + 4; o = i + 11; i = f + 5; s = n + 3; q = m + 16; k = p + 12; h = u + 13; u = g + 12; n = p + 12; g = q + 13; f = s + 12; x = o + 20. If p = 2, determine 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. Compute n using n = p + 12, which gives n = 14.\n2. Compute s using s = n + 3, which gives s = 17.\n3. Compute f using f = s + 12, which gives f = 29.\n4. Compute i using i = f + 5, which gives i = 34.\n5. Compute o using o = i + 11, which gives o = 45.\n6. Compute x using x = o + 20, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 265,
"question": "Consider a system of variables where each variable is defined as follows: p = 2; m = k + 4; o = i + 11; i = f + 5; s = n + 3; q = m + 16; k = p + 12; h = u + 13; u = g + 12; n = p + 12; g = q + 13; f = s + 12; x = o + 20. If p = 2, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 14", "p": "d + 14", "o": "p + 9", "q": "o + 12", "j": "q + 19", "h": "j + 9", "s": "c + 9", "a": "s + 20", "f": "a + 1", "g": "f + 12", "e": "g + 10", "l": "e + 7", "c": 14}, "premises": {"c": 14}, "target": "h"}, "answer": {"steps": [["d", "c + 14", 28], ["p", "d + 14", 42], ["o", "p + 9", 51], ["q", "o + 12", 63], ["j", "q + 19", 82], ["h", "j + 9", 91]], "target_var_name": "h", "target_value": 91, "value_dict": {"c": 14, "d": 28, "p": 42, "o": 51, "q": 63, "j": 82, "h": 91}, "is_reverse": false}}
| 266
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 19; c = 14; s = c + 9; d = c + 14; g = f + 12; o = p + 9; h = j + 9; e = g + 10; q = o + 12; f = a + 1; p = d + 14; l = e + 7; a = s + 20. If c = 14, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute d using d = c + 14, which gives d = 28.\n2. Compute p using p = d + 14, which gives p = 42.\n3. Compute o using o = p + 9, which gives o = 51.\n4. Compute q using q = o + 12, which gives q = 63.\n5. Compute j using j = q + 19, which gives j = 82.\n6. Compute h using h = j + 9, which gives h = 91.\n\nThus, the final answer is h = \\boxed{91}.",
"index": 266,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 19; c = 14; s = c + 9; d = c + 14; g = f + 12; o = p + 9; h = j + 9; e = g + 10; q = o + 12; f = a + 1; p = d + 14; l = e + 7; a = s + 20. If c = 14, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 7", "w": "c + 2", "v": "w + 9", "d": "v + 14", "x": "d + 4", "f": "x + 1", "b": "y + 20", "h": "b + 15", "u": "h + 18", "t": "u + 1", "a": "t + 3", "p": "a + 11", "y": 13}, "premises": {"y": 13}, "target": "f"}, "answer": {"steps": [["c", "y + 7", 20], ["w", "c + 2", 22], ["v", "w + 9", 31], ["d", "v + 14", 45], ["x", "d + 4", 49], ["f", "x + 1", 50]], "target_var_name": "f", "target_value": 50, "value_dict": {"y": 13, "c": 20, "w": 22, "v": 31, "d": 45, "x": 49, "f": 50}, "is_reverse": false}}
| 267
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = u + 1; f = x + 1; x = d + 4; a = t + 3; v = w + 9; c = y + 7; y = 13; h = b + 15; u = h + 18; w = c + 2; d = v + 14; p = a + 11; b = y + 20. If y = 13, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute c using c = y + 7, which gives c = 20.\n2. Compute w using w = c + 2, which gives w = 22.\n3. Compute v using v = w + 9, which gives v = 31.\n4. Compute d using d = v + 14, which gives d = 45.\n5. Compute x using x = d + 4, which gives x = 49.\n6. Compute f using f = x + 1, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 267,
"question": "Consider a system of variables where each variable is defined as follows: t = u + 1; f = x + 1; x = d + 4; a = t + 3; v = w + 9; c = y + 7; y = 13; h = b + 15; u = h + 18; w = c + 2; d = v + 14; p = a + 11; b = y + 20. If y = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"o": "g + 6", "m": "o + 12", "r": "m + 11", "a": "r + 20", "s": "a + 19", "b": "s + 16", "j": "g + 10", "k": "j + 8", "f": "k + 20", "y": "f + 14", "v": "y + 19", "e": "v + 10", "g": 13}, "premises": {"g": 13}, "target": "b"}, "answer": {"steps": [["o", "g + 6", 19], ["m", "o + 12", 31], ["r", "m + 11", 42], ["a", "r + 20", 62], ["s", "a + 19", 81], ["b", "s + 16", 97]], "target_var_name": "b", "target_value": 97, "value_dict": {"g": 13, "o": 19, "m": 31, "r": 42, "a": 62, "s": 81, "b": 97}, "is_reverse": false}}
| 268
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 19; v = y + 19; g = 13; m = o + 12; e = v + 10; k = j + 8; f = k + 20; r = m + 11; b = s + 16; j = g + 10; a = r + 20; y = f + 14; o = g + 6. If g = 13, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = g + 6, which gives o = 19.\n2. Compute m using m = o + 12, which gives m = 31.\n3. Compute r using r = m + 11, which gives r = 42.\n4. Compute a using a = r + 20, which gives a = 62.\n5. Compute s using s = a + 19, which gives s = 81.\n6. Compute b using b = s + 16, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 268,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 19; v = y + 19; g = 13; m = o + 12; e = v + 10; k = j + 8; f = k + 20; r = m + 11; b = s + 16; j = g + 10; a = r + 20; y = f + 14; o = g + 6. If g = 13, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 14", "w": "g + 16", "q": "w + 16", "v": "q + 12", "l": "v + 8", "u": "l + 9", "s": "j + 10", "h": "s + 8", "t": "h + 12", "m": "t + 11", "a": "m + 16", "p": "a + 18", "j": 6}, "premises": {"j": 6}, "target": "u"}, "answer": {"steps": [["g", "j + 14", 20], ["w", "g + 16", 36], ["q", "w + 16", 52], ["v", "q + 12", 64], ["l", "v + 8", 72], ["u", "l + 9", 81]], "target_var_name": "u", "target_value": 81, "value_dict": {"j": 6, "g": 20, "w": 36, "q": 52, "v": 64, "l": 72, "u": 81}, "is_reverse": false}}
| 269
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = w + 16; u = l + 9; g = j + 14; j = 6; w = g + 16; a = m + 16; v = q + 12; s = j + 10; p = a + 18; l = v + 8; h = s + 8; m = t + 11; t = h + 12. If j = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = j + 14, which gives g = 20.\n2. Compute w using w = g + 16, which gives w = 36.\n3. Compute q using q = w + 16, which gives q = 52.\n4. Compute v using v = q + 12, which gives v = 64.\n5. Compute l using l = v + 8, which gives l = 72.\n6. Compute u using u = l + 9, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 269,
"question": "Consider a system of variables where each variable is defined as follows: q = w + 16; u = l + 9; g = j + 14; j = 6; w = g + 16; a = m + 16; v = q + 12; s = j + 10; p = a + 18; l = v + 8; h = s + 8; m = t + 11; t = h + 12. If j = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"j": "f + 19", "n": "j + 5", "r": "n + 8", "y": "r + 5", "p": "y + 1", "b": "p + 1", "t": "f + 3", "m": "t + 16", "g": "m + 18", "q": "g + 17", "k": "q + 6", "d": "k + 20", "f": 8}, "premises": {"f": 8}, "target": "b"}, "answer": {"steps": [["j", "f + 19", 27], ["n", "j + 5", 32], ["r", "n + 8", 40], ["y", "r + 5", 45], ["p", "y + 1", 46], ["b", "p + 1", 47]], "target_var_name": "b", "target_value": 47, "value_dict": {"f": 8, "j": 27, "n": 32, "r": 40, "y": 45, "p": 46, "b": 47}, "is_reverse": false}}
| 270
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 6; p = y + 1; r = n + 8; m = t + 16; g = m + 18; d = k + 20; b = p + 1; f = 8; n = j + 5; j = f + 19; q = g + 17; t = f + 3; y = r + 5. If f = 8, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = f + 19, which gives j = 27.\n2. Compute n using n = j + 5, which gives n = 32.\n3. Compute r using r = n + 8, which gives r = 40.\n4. Compute y using y = r + 5, which gives y = 45.\n5. Compute p using p = y + 1, which gives p = 46.\n6. Compute b using b = p + 1, which gives b = 47.\n\nThus, the final answer is b = \\boxed{47}.",
"index": 270,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = q + 6; p = y + 1; r = n + 8; m = t + 16; g = m + 18; d = k + 20; b = p + 1; f = 8; n = j + 5; j = f + 19; q = g + 17; t = f + 3; y = r + 5. If f = 8, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 3", "c": "m + 11", "z": "c + 19", "i": "z + 19", "b": "i + 5", "p": "b + 19", "f": "r + 17", "g": "f + 3", "n": "g + 2", "j": "n + 14", "a": "j + 19", "y": "a + 17", "r": 17}, "premises": {"r": 17}, "target": "p"}, "answer": {"steps": [["m", "r + 3", 20], ["c", "m + 11", 31], ["z", "c + 19", 50], ["i", "z + 19", 69], ["b", "i + 5", 74], ["p", "b + 19", 93]], "target_var_name": "p", "target_value": 93, "value_dict": {"r": 17, "m": 20, "c": 31, "z": 50, "i": 69, "b": 74, "p": 93}, "is_reverse": false}}
| 271
| 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 = g + 2; g = f + 3; i = z + 19; j = n + 14; r = 17; b = i + 5; z = c + 19; f = r + 17; m = r + 3; y = a + 17; c = m + 11; a = j + 19; p = b + 19. If r = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute m using m = r + 3, which gives m = 20.\n2. Compute c using c = m + 11, which gives c = 31.\n3. Compute z using z = c + 19, which gives z = 50.\n4. Compute i using i = z + 19, which gives i = 69.\n5. Compute b using b = i + 5, which gives b = 74.\n6. Compute p using p = b + 19, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 271,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 2; g = f + 3; i = z + 19; j = n + 14; r = 17; b = i + 5; z = c + 19; f = r + 17; m = r + 3; y = a + 17; c = m + 11; a = j + 19; p = b + 19. If r = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 9", "o": "s + 15", "q": "o + 19", "d": "q + 3", "x": "d + 13", "f": "x + 15", "y": "z + 8", "e": "y + 2", "t": "e + 1", "a": "t + 8", "l": "a + 7", "r": "l + 17", "z": 4}, "premises": {"z": 4}, "target": "f"}, "answer": {"steps": [["s", "z + 9", 13], ["o", "s + 15", 28], ["q", "o + 19", 47], ["d", "q + 3", 50], ["x", "d + 13", 63], ["f", "x + 15", 78]], "target_var_name": "f", "target_value": 78, "value_dict": {"z": 4, "s": 13, "o": 28, "q": 47, "d": 50, "x": 63, "f": 78}, "is_reverse": false}}
| 272
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = o + 19; a = t + 8; l = a + 7; t = e + 1; x = d + 13; d = q + 3; z = 4; e = y + 2; s = z + 9; y = z + 8; o = s + 15; f = x + 15; r = l + 17. If z = 4, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = z + 9, which gives s = 13.\n2. Compute o using o = s + 15, which gives o = 28.\n3. Compute q using q = o + 19, which gives q = 47.\n4. Compute d using d = q + 3, which gives d = 50.\n5. Compute x using x = d + 13, which gives x = 63.\n6. Compute f using f = x + 15, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 272,
"question": "Consider a system of variables where each variable is defined as follows: q = o + 19; a = t + 8; l = a + 7; t = e + 1; x = d + 13; d = q + 3; z = 4; e = y + 2; s = z + 9; y = z + 8; o = s + 15; f = x + 15; r = l + 17. If z = 4, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 3", "v": "a + 17", "t": "v + 1", "d": "t + 8", "i": "d + 7", "e": "i + 2", "k": "g + 18", "c": "k + 16", "f": "c + 12", "j": "f + 7", "l": "j + 15", "u": "l + 19", "g": 11}, "premises": {"g": 11}, "target": "e"}, "answer": {"steps": [["a", "g + 3", 14], ["v", "a + 17", 31], ["t", "v + 1", 32], ["d", "t + 8", 40], ["i", "d + 7", 47], ["e", "i + 2", 49]], "target_var_name": "e", "target_value": 49, "value_dict": {"g": 11, "a": 14, "v": 31, "t": 32, "d": 40, "i": 47, "e": 49}, "is_reverse": false}}
| 273
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = a + 17; t = v + 1; e = i + 2; f = c + 12; a = g + 3; k = g + 18; l = j + 15; d = t + 8; i = d + 7; j = f + 7; u = l + 19; g = 11; c = k + 16. If g = 11, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = g + 3, which gives a = 14.\n2. Compute v using v = a + 17, which gives v = 31.\n3. Compute t using t = v + 1, which gives t = 32.\n4. Compute d using d = t + 8, which gives d = 40.\n5. Compute i using i = d + 7, which gives i = 47.\n6. Compute e using e = i + 2, which gives e = 49.\n\nThus, the final answer is e = \\boxed{49}.",
"index": 273,
"question": "Consider a system of variables where each variable is defined as follows: v = a + 17; t = v + 1; e = i + 2; f = c + 12; a = g + 3; k = g + 18; l = j + 15; d = t + 8; i = d + 7; j = f + 7; u = l + 19; g = 11; c = k + 16. If g = 11, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"v": "x + 10", "r": "v + 9", "g": "r + 13", "z": "g + 16", "w": "z + 1", "k": "w + 2", "f": "x + 10", "u": "f + 4", "y": "u + 17", "e": "y + 6", "i": "e + 18", "n": "i + 18", "x": 8}, "premises": {"x": 8}, "target": "k"}, "answer": {"steps": [["v", "x + 10", 18], ["r", "v + 9", 27], ["g", "r + 13", 40], ["z", "g + 16", 56], ["w", "z + 1", 57], ["k", "w + 2", 59]], "target_var_name": "k", "target_value": 59, "value_dict": {"x": 8, "v": 18, "r": 27, "g": 40, "z": 56, "w": 57, "k": 59}, "is_reverse": false}}
| 274
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = z + 1; g = r + 13; u = f + 4; e = y + 6; i = e + 18; y = u + 17; k = w + 2; x = 8; z = g + 16; f = x + 10; r = v + 9; v = x + 10; n = i + 18. If x = 8, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = x + 10, which gives v = 18.\n2. Compute r using r = v + 9, which gives r = 27.\n3. Compute g using g = r + 13, which gives g = 40.\n4. Compute z using z = g + 16, which gives z = 56.\n5. Compute w using w = z + 1, which gives w = 57.\n6. Compute k using k = w + 2, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 274,
"question": "Consider a system of variables where each variable is defined as follows: w = z + 1; g = r + 13; u = f + 4; e = y + 6; i = e + 18; y = u + 17; k = w + 2; x = 8; z = g + 16; f = x + 10; r = v + 9; v = x + 10; n = i + 18. If x = 8, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"h": "p + 10", "r": "h + 5", "y": "r + 6", "z": "y + 12", "b": "z + 2", "l": "b + 16", "g": "p + 12", "q": "g + 20", "j": "q + 20", "u": "j + 16", "f": "u + 1", "d": "f + 1", "p": 18}, "premises": {"p": 18}, "target": "l"}, "answer": {"steps": [["h", "p + 10", 28], ["r", "h + 5", 33], ["y", "r + 6", 39], ["z", "y + 12", 51], ["b", "z + 2", 53], ["l", "b + 16", 69]], "target_var_name": "l", "target_value": 69, "value_dict": {"p": 18, "h": 28, "r": 33, "y": 39, "z": 51, "b": 53, "l": 69}, "is_reverse": false}}
| 275
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = g + 20; h = p + 10; z = y + 12; u = j + 16; j = q + 20; d = f + 1; r = h + 5; g = p + 12; y = r + 6; p = 18; f = u + 1; b = z + 2; l = b + 16. If p = 18, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute h using h = p + 10, which gives h = 28.\n2. Compute r using r = h + 5, which gives r = 33.\n3. Compute y using y = r + 6, which gives y = 39.\n4. Compute z using z = y + 12, which gives z = 51.\n5. Compute b using b = z + 2, which gives b = 53.\n6. Compute l using l = b + 16, which gives l = 69.\n\nThus, the final answer is l = \\boxed{69}.",
"index": 275,
"question": "Consider a system of variables where each variable is defined as follows: q = g + 20; h = p + 10; z = y + 12; u = j + 16; j = q + 20; d = f + 1; r = h + 5; g = p + 12; y = r + 6; p = 18; f = u + 1; b = z + 2; l = b + 16. If p = 18, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 10", "j": "l + 16", "p": "j + 6", "f": "p + 13", "e": "f + 2", "b": "e + 17", "i": "k + 13", "v": "i + 13", "h": "v + 2", "y": "h + 1", "m": "y + 15", "r": "m + 18", "k": 17}, "premises": {"k": 17}, "target": "b"}, "answer": {"steps": [["l", "k + 10", 27], ["j", "l + 16", 43], ["p", "j + 6", 49], ["f", "p + 13", 62], ["e", "f + 2", 64], ["b", "e + 17", 81]], "target_var_name": "b", "target_value": 81, "value_dict": {"k": 17, "l": 27, "j": 43, "p": 49, "f": 62, "e": 64, "b": 81}, "is_reverse": false}}
| 276
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 13; j = l + 16; l = k + 10; y = h + 1; f = p + 13; r = m + 18; e = f + 2; m = y + 15; p = j + 6; h = v + 2; b = e + 17; i = k + 13; k = 17. If k = 17, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute l using l = k + 10, which gives l = 27.\n2. Compute j using j = l + 16, which gives j = 43.\n3. Compute p using p = j + 6, which gives p = 49.\n4. Compute f using f = p + 13, which gives f = 62.\n5. Compute e using e = f + 2, which gives e = 64.\n6. Compute b using b = e + 17, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 276,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 13; j = l + 16; l = k + 10; y = h + 1; f = p + 13; r = m + 18; e = f + 2; m = y + 15; p = j + 6; h = v + 2; b = e + 17; i = k + 13; k = 17. If k = 17, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 10", "t": "v + 14", "k": "t + 16", "d": "k + 1", "j": "d + 1", "w": "j + 14", "g": "b + 19", "r": "g + 16", "c": "r + 14", "q": "c + 17", "l": "q + 12", "e": "l + 7", "b": 9}, "premises": {"b": 9}, "target": "w"}, "answer": {"steps": [["v", "b + 10", 19], ["t", "v + 14", 33], ["k", "t + 16", 49], ["d", "k + 1", 50], ["j", "d + 1", 51], ["w", "j + 14", 65]], "target_var_name": "w", "target_value": 65, "value_dict": {"b": 9, "v": 19, "t": 33, "k": 49, "d": 50, "j": 51, "w": 65}, "is_reverse": false}}
| 277
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 12; c = r + 14; v = b + 10; r = g + 16; e = l + 7; k = t + 16; q = c + 17; g = b + 19; b = 9; t = v + 14; w = j + 14; d = k + 1; j = d + 1. If b = 9, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = b + 10, which gives v = 19.\n2. Compute t using t = v + 14, which gives t = 33.\n3. Compute k using k = t + 16, which gives k = 49.\n4. Compute d using d = k + 1, which gives d = 50.\n5. Compute j using j = d + 1, which gives j = 51.\n6. Compute w using w = j + 14, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 277,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 12; c = r + 14; v = b + 10; r = g + 16; e = l + 7; k = t + 16; q = c + 17; g = b + 19; b = 9; t = v + 14; w = j + 14; d = k + 1; j = d + 1. If b = 9, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"x": "o + 3", "t": "x + 18", "w": "t + 13", "f": "w + 1", "c": "f + 10", "r": "c + 5", "h": "o + 5", "e": "h + 3", "q": "e + 4", "v": "q + 7", "y": "v + 18", "u": "y + 16", "o": 11}, "premises": {"o": 11}, "target": "r"}, "answer": {"steps": [["x", "o + 3", 14], ["t", "x + 18", 32], ["w", "t + 13", 45], ["f", "w + 1", 46], ["c", "f + 10", 56], ["r", "c + 5", 61]], "target_var_name": "r", "target_value": 61, "value_dict": {"o": 11, "x": 14, "t": 32, "w": 45, "f": 46, "c": 56, "r": 61}, "is_reverse": false}}
| 278
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 11; h = o + 5; c = f + 10; t = x + 18; u = y + 16; x = o + 3; r = c + 5; e = h + 3; v = q + 7; q = e + 4; f = w + 1; y = v + 18; w = t + 13. Given that o = 11, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute x using x = o + 3, which gives x = 14.\n2. Compute t using t = x + 18, which gives t = 32.\n3. Compute w using w = t + 13, which gives w = 45.\n4. Compute f using f = w + 1, which gives f = 46.\n5. Compute c using c = f + 10, which gives c = 56.\n6. Compute r using r = c + 5, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 278,
"question": "Suppose a collection of variables is related by the following definitions: o = 11; h = o + 5; c = f + 10; t = x + 18; u = y + 16; x = o + 3; r = c + 5; e = h + 3; v = q + 7; q = e + 4; f = w + 1; y = v + 18; w = t + 13. Given that o = 11, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"q": "o + 11", "p": "q + 10", "y": "p + 20", "i": "y + 9", "x": "i + 16", "h": "x + 6", "e": "o + 10", "r": "e + 13", "t": "r + 14", "m": "t + 4", "j": "m + 19", "f": "j + 18", "o": 6}, "premises": {"o": 6}, "target": "h"}, "answer": {"steps": [["q", "o + 11", 17], ["p", "q + 10", 27], ["y", "p + 20", 47], ["i", "y + 9", 56], ["x", "i + 16", 72], ["h", "x + 6", 78]], "target_var_name": "h", "target_value": 78, "value_dict": {"o": 6, "q": 17, "p": 27, "y": 47, "i": 56, "x": 72, "h": 78}, "is_reverse": false}}
| 279
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 6; m = t + 4; t = r + 14; f = j + 18; h = x + 6; y = p + 20; q = o + 11; p = q + 10; i = y + 9; r = e + 13; x = i + 16; e = o + 10; j = m + 19. Given that o = 6, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = o + 11, which gives q = 17.\n2. Compute p using p = q + 10, which gives p = 27.\n3. Compute y using y = p + 20, which gives y = 47.\n4. Compute i using i = y + 9, which gives i = 56.\n5. Compute x using x = i + 16, which gives x = 72.\n6. Compute h using h = x + 6, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 279,
"question": "Suppose a collection of variables is related by the following definitions: o = 6; m = t + 4; t = r + 14; f = j + 18; h = x + 6; y = p + 20; q = o + 11; p = q + 10; i = y + 9; r = e + 13; x = i + 16; e = o + 10; j = m + 19. Given that o = 6, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "i + 14", "m": "u + 20", "y": "m + 18", "o": "y + 8", "e": "o + 4", "b": "e + 10", "g": "i + 8", "p": "g + 11", "j": "p + 11", "x": "j + 19", "v": "x + 14", "l": "v + 20", "i": 1}, "premises": {"i": 1}, "target": "b"}, "answer": {"steps": [["u", "i + 14", 15], ["m", "u + 20", 35], ["y", "m + 18", 53], ["o", "y + 8", 61], ["e", "o + 4", 65], ["b", "e + 10", 75]], "target_var_name": "b", "target_value": 75, "value_dict": {"i": 1, "u": 15, "m": 35, "y": 53, "o": 61, "e": 65, "b": 75}, "is_reverse": false}}
| 280
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 20; v = x + 14; i = 1; o = y + 8; x = j + 19; g = i + 8; u = i + 14; b = e + 10; j = p + 11; m = u + 20; p = g + 11; e = o + 4; y = m + 18. Given that i = 1, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = i + 14, which gives u = 15.\n2. Compute m using m = u + 20, which gives m = 35.\n3. Compute y using y = m + 18, which gives y = 53.\n4. Compute o using o = y + 8, which gives o = 61.\n5. Compute e using e = o + 4, which gives e = 65.\n6. Compute b using b = e + 10, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 280,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 20; v = x + 14; i = 1; o = y + 8; x = j + 19; g = i + 8; u = i + 14; b = e + 10; j = p + 11; m = u + 20; p = g + 11; e = o + 4; y = m + 18. Given that i = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 5", "g": "j + 15", "s": "g + 2", "u": "s + 6", "h": "u + 18", "d": "h + 4", "f": "z + 11", "w": "f + 2", "q": "w + 6", "m": "q + 12", "v": "m + 15", "y": "v + 13", "z": 4}, "premises": {"z": 4}, "target": "d"}, "answer": {"steps": [["j", "z + 5", 9], ["g", "j + 15", 24], ["s", "g + 2", 26], ["u", "s + 6", 32], ["h", "u + 18", 50], ["d", "h + 4", 54]], "target_var_name": "d", "target_value": 54, "value_dict": {"z": 4, "j": 9, "g": 24, "s": 26, "u": 32, "h": 50, "d": 54}, "is_reverse": false}}
| 281
| 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 = s + 6; j = z + 5; q = w + 6; d = h + 4; v = m + 15; m = q + 12; z = 4; f = z + 11; w = f + 2; h = u + 18; s = g + 2; g = j + 15; y = v + 13. If z = 4, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = z + 5, which gives j = 9.\n2. Compute g using g = j + 15, which gives g = 24.\n3. Compute s using s = g + 2, which gives s = 26.\n4. Compute u using u = s + 6, which gives u = 32.\n5. Compute h using h = u + 18, which gives h = 50.\n6. Compute d using d = h + 4, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 281,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 6; j = z + 5; q = w + 6; d = h + 4; v = m + 15; m = q + 12; z = 4; f = z + 11; w = f + 2; h = u + 18; s = g + 2; g = j + 15; y = v + 13. If z = 4, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"f": "v + 1", "w": "f + 8", "t": "w + 13", "a": "t + 7", "o": "a + 9", "m": "o + 5", "l": "v + 2", "z": "l + 2", "x": "z + 13", "p": "x + 13", "j": "p + 19", "s": "j + 17", "v": 17}, "premises": {"v": 17}, "target": "m"}, "answer": {"steps": [["f", "v + 1", 18], ["w", "f + 8", 26], ["t", "w + 13", 39], ["a", "t + 7", 46], ["o", "a + 9", 55], ["m", "o + 5", 60]], "target_var_name": "m", "target_value": 60, "value_dict": {"v": 17, "f": 18, "w": 26, "t": 39, "a": 46, "o": 55, "m": 60}, "is_reverse": false}}
| 282
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 13; j = p + 19; o = a + 9; p = x + 13; z = l + 2; v = 17; m = o + 5; l = v + 2; f = v + 1; a = t + 7; w = f + 8; s = j + 17; x = z + 13. If v = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = v + 1, which gives f = 18.\n2. Compute w using w = f + 8, which gives w = 26.\n3. Compute t using t = w + 13, which gives t = 39.\n4. Compute a using a = t + 7, which gives a = 46.\n5. Compute o using o = a + 9, which gives o = 55.\n6. Compute m using m = o + 5, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 282,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 13; j = p + 19; o = a + 9; p = x + 13; z = l + 2; v = 17; m = o + 5; l = v + 2; f = v + 1; a = t + 7; w = f + 8; s = j + 17; x = z + 13. If v = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 1", "x": "v + 17", "l": "x + 16", "n": "l + 19", "e": "n + 14", "z": "e + 7", "p": "f + 12", "w": "p + 4", "c": "w + 9", "y": "c + 16", "g": "y + 20", "k": "g + 4", "f": 13}, "premises": {"f": 13}, "target": "z"}, "answer": {"steps": [["v", "f + 1", 14], ["x", "v + 17", 31], ["l", "x + 16", 47], ["n", "l + 19", 66], ["e", "n + 14", 80], ["z", "e + 7", 87]], "target_var_name": "z", "target_value": 87, "value_dict": {"f": 13, "v": 14, "x": 31, "l": 47, "n": 66, "e": 80, "z": 87}, "is_reverse": false}}
| 283
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 16; n = l + 19; c = w + 9; e = n + 14; f = 13; x = v + 17; w = p + 4; g = y + 20; k = g + 4; v = f + 1; y = c + 16; z = e + 7; p = f + 12. Given that f = 13, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute v using v = f + 1, which gives v = 14.\n2. Compute x using x = v + 17, which gives x = 31.\n3. Compute l using l = x + 16, which gives l = 47.\n4. Compute n using n = l + 19, which gives n = 66.\n5. Compute e using e = n + 14, which gives e = 80.\n6. Compute z using z = e + 7, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 283,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 16; n = l + 19; c = w + 9; e = n + 14; f = 13; x = v + 17; w = p + 4; g = y + 20; k = g + 4; v = f + 1; y = c + 16; z = e + 7; p = f + 12. Given that f = 13, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 10", "t": "i + 9", "n": "t + 8", "q": "n + 6", "s": "q + 16", "v": "s + 18", "k": "e + 11", "j": "k + 4", "p": "j + 20", "g": "p + 1", "r": "g + 4", "m": "r + 2", "e": 10}, "premises": {"e": 10}, "target": "v"}, "answer": {"steps": [["i", "e + 10", 20], ["t", "i + 9", 29], ["n", "t + 8", 37], ["q", "n + 6", 43], ["s", "q + 16", 59], ["v", "s + 18", 77]], "target_var_name": "v", "target_value": 77, "value_dict": {"e": 10, "i": 20, "t": 29, "n": 37, "q": 43, "s": 59, "v": 77}, "is_reverse": false}}
| 284
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 4; q = n + 6; m = r + 2; p = j + 20; n = t + 8; k = e + 11; r = g + 4; s = q + 16; e = 10; g = p + 1; v = s + 18; t = i + 9; i = e + 10. If e = 10, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute i using i = e + 10, which gives i = 20.\n2. Compute t using t = i + 9, which gives t = 29.\n3. Compute n using n = t + 8, which gives n = 37.\n4. Compute q using q = n + 6, which gives q = 43.\n5. Compute s using s = q + 16, which gives s = 59.\n6. Compute v using v = s + 18, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 284,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 4; q = n + 6; m = r + 2; p = j + 20; n = t + 8; k = e + 11; r = g + 4; s = q + 16; e = 10; g = p + 1; v = s + 18; t = i + 9; i = e + 10. If e = 10, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 19", "h": "b + 2", "o": "h + 18", "r": "o + 8", "d": "r + 7", "q": "d + 2", "n": "c + 14", "s": "n + 2", "a": "s + 8", "t": "a + 10", "y": "t + 14", "f": "y + 6", "c": 5}, "premises": {"c": 5}, "target": "q"}, "answer": {"steps": [["b", "c + 19", 24], ["h", "b + 2", 26], ["o", "h + 18", 44], ["r", "o + 8", 52], ["d", "r + 7", 59], ["q", "d + 2", 61]], "target_var_name": "q", "target_value": 61, "value_dict": {"c": 5, "b": 24, "h": 26, "o": 44, "r": 52, "d": 59, "q": 61}, "is_reverse": false}}
| 285
| 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 + 14; a = s + 8; h = b + 2; n = c + 14; s = n + 2; t = a + 10; b = c + 19; o = h + 18; q = d + 2; d = r + 7; c = 5; f = y + 6; r = o + 8. If c = 5, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute b using b = c + 19, which gives b = 24.\n2. Compute h using h = b + 2, which gives h = 26.\n3. Compute o using o = h + 18, which gives o = 44.\n4. Compute r using r = o + 8, which gives r = 52.\n5. Compute d using d = r + 7, which gives d = 59.\n6. Compute q using q = d + 2, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 285,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 14; a = s + 8; h = b + 2; n = c + 14; s = n + 2; t = a + 10; b = c + 19; o = h + 18; q = d + 2; d = r + 7; c = 5; f = y + 6; r = o + 8. If c = 5, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"g": "o + 2", "e": "g + 20", "u": "e + 10", "b": "u + 7", "r": "b + 18", "h": "r + 14", "n": "o + 3", "a": "n + 1", "m": "a + 18", "c": "m + 12", "z": "c + 1", "l": "z + 4", "o": 15}, "premises": {"o": 15}, "target": "h"}, "answer": {"steps": [["g", "o + 2", 17], ["e", "g + 20", 37], ["u", "e + 10", 47], ["b", "u + 7", 54], ["r", "b + 18", 72], ["h", "r + 14", 86]], "target_var_name": "h", "target_value": 86, "value_dict": {"o": 15, "g": 17, "e": 37, "u": 47, "b": 54, "r": 72, "h": 86}, "is_reverse": false}}
| 286
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 1; h = r + 14; b = u + 7; u = e + 10; c = m + 12; l = z + 4; m = a + 18; a = n + 1; g = o + 2; o = 15; r = b + 18; n = o + 3; e = g + 20. If o = 15, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute g using g = o + 2, which gives g = 17.\n2. Compute e using e = g + 20, which gives e = 37.\n3. Compute u using u = e + 10, which gives u = 47.\n4. Compute b using b = u + 7, which gives b = 54.\n5. Compute r using r = b + 18, which gives r = 72.\n6. Compute h using h = r + 14, which gives h = 86.\n\nThus, the final answer is h = \\boxed{86}.",
"index": 286,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 1; h = r + 14; b = u + 7; u = e + 10; c = m + 12; l = z + 4; m = a + 18; a = n + 1; g = o + 2; o = 15; r = b + 18; n = o + 3; e = g + 20. If o = 15, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"r": "q + 12", "k": "r + 6", "e": "k + 2", "x": "e + 11", "z": "x + 9", "u": "z + 18", "l": "q + 16", "n": "l + 17", "w": "n + 3", "b": "w + 8", "o": "b + 15", "s": "o + 13", "q": 6}, "premises": {"q": 6}, "target": "u"}, "answer": {"steps": [["r", "q + 12", 18], ["k", "r + 6", 24], ["e", "k + 2", 26], ["x", "e + 11", 37], ["z", "x + 9", 46], ["u", "z + 18", 64]], "target_var_name": "u", "target_value": 64, "value_dict": {"q": 6, "r": 18, "k": 24, "e": 26, "x": 37, "z": 46, "u": 64}, "is_reverse": false}}
| 287
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 6; o = b + 15; n = l + 17; b = w + 8; w = n + 3; e = k + 2; x = e + 11; s = o + 13; r = q + 12; z = x + 9; u = z + 18; l = q + 16; q = 6. If q = 6, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute r using r = q + 12, which gives r = 18.\n2. Compute k using k = r + 6, which gives k = 24.\n3. Compute e using e = k + 2, which gives e = 26.\n4. Compute x using x = e + 11, which gives x = 37.\n5. Compute z using z = x + 9, which gives z = 46.\n6. Compute u using u = z + 18, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 287,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 6; o = b + 15; n = l + 17; b = w + 8; w = n + 3; e = k + 2; x = e + 11; s = o + 13; r = q + 12; z = x + 9; u = z + 18; l = q + 16; q = 6. If q = 6, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"y": "n + 13", "l": "y + 2", "x": "l + 17", "a": "x + 9", "h": "a + 7", "p": "h + 20", "s": "n + 11", "t": "s + 16", "w": "t + 8", "z": "w + 4", "v": "z + 16", "b": "v + 12", "n": 17}, "premises": {"n": 17}, "target": "p"}, "answer": {"steps": [["y", "n + 13", 30], ["l", "y + 2", 32], ["x", "l + 17", 49], ["a", "x + 9", 58], ["h", "a + 7", 65], ["p", "h + 20", 85]], "target_var_name": "p", "target_value": 85, "value_dict": {"n": 17, "y": 30, "l": 32, "x": 49, "a": 58, "h": 65, "p": 85}, "is_reverse": false}}
| 288
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = v + 12; h = a + 7; s = n + 11; x = l + 17; w = t + 8; y = n + 13; l = y + 2; n = 17; a = x + 9; v = z + 16; p = h + 20; t = s + 16; z = w + 4. Given that n = 17, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute y using y = n + 13, which gives y = 30.\n2. Compute l using l = y + 2, which gives l = 32.\n3. Compute x using x = l + 17, which gives x = 49.\n4. Compute a using a = x + 9, which gives a = 58.\n5. Compute h using h = a + 7, which gives h = 65.\n6. Compute p using p = h + 20, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 288,
"question": "Suppose a collection of variables is related by the following definitions: b = v + 12; h = a + 7; s = n + 11; x = l + 17; w = t + 8; y = n + 13; l = y + 2; n = 17; a = x + 9; v = z + 16; p = h + 20; t = s + 16; z = w + 4. Given that n = 17, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 12", "e": "j + 13", "r": "e + 11", "w": "r + 10", "o": "w + 18", "p": "o + 20", "u": "b + 4", "n": "u + 10", "i": "n + 3", "v": "i + 2", "t": "v + 10", "a": "t + 8", "b": 17}, "premises": {"b": 17}, "target": "p"}, "answer": {"steps": [["j", "b + 12", 29], ["e", "j + 13", 42], ["r", "e + 11", 53], ["w", "r + 10", 63], ["o", "w + 18", 81], ["p", "o + 20", 101]], "target_var_name": "p", "target_value": 101, "value_dict": {"b": 17, "j": 29, "e": 42, "r": 53, "w": 63, "o": 81, "p": 101}, "is_reverse": false}}
| 289
| 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 = 17; e = j + 13; p = o + 20; o = w + 18; t = v + 10; a = t + 8; w = r + 10; j = b + 12; v = i + 2; n = u + 10; r = e + 11; i = n + 3; u = b + 4. If b = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = b + 12, which gives j = 29.\n2. Compute e using e = j + 13, which gives e = 42.\n3. Compute r using r = e + 11, which gives r = 53.\n4. Compute w using w = r + 10, which gives w = 63.\n5. Compute o using o = w + 18, which gives o = 81.\n6. Compute p using p = o + 20, which gives p = 101.\n\nThus, the final answer is p = \\boxed{101}.",
"index": 289,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 17; e = j + 13; p = o + 20; o = w + 18; t = v + 10; a = t + 8; w = r + 10; j = b + 12; v = i + 2; n = u + 10; r = e + 11; i = n + 3; u = b + 4. If b = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 10", "f": "j + 10", "h": "f + 16", "m": "h + 12", "p": "m + 15", "o": "p + 18", "k": "d + 2", "x": "k + 1", "n": "x + 18", "z": "n + 12", "b": "z + 12", "v": "b + 6", "d": 5}, "premises": {"d": 5}, "target": "o"}, "answer": {"steps": [["j", "d + 10", 15], ["f", "j + 10", 25], ["h", "f + 16", 41], ["m", "h + 12", 53], ["p", "m + 15", 68], ["o", "p + 18", 86]], "target_var_name": "o", "target_value": 86, "value_dict": {"d": 5, "j": 15, "f": 25, "h": 41, "m": 53, "p": 68, "o": 86}, "is_reverse": false}}
| 290
| 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 + 18; m = h + 12; b = z + 12; h = f + 16; d = 5; z = n + 12; v = b + 6; f = j + 10; x = k + 1; p = m + 15; o = p + 18; j = d + 10; k = d + 2. If d = 5, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute j using j = d + 10, which gives j = 15.\n2. Compute f using f = j + 10, which gives f = 25.\n3. Compute h using h = f + 16, which gives h = 41.\n4. Compute m using m = h + 12, which gives m = 53.\n5. Compute p using p = m + 15, which gives p = 68.\n6. Compute o using o = p + 18, which gives o = 86.\n\nThus, the final answer is o = \\boxed{86}.",
"index": 290,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 18; m = h + 12; b = z + 12; h = f + 16; d = 5; z = n + 12; v = b + 6; f = j + 10; x = k + 1; p = m + 15; o = p + 18; j = d + 10; k = d + 2. If d = 5, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "z + 19", "r": "o + 11", "g": "r + 12", "d": "g + 1", "s": "d + 4", "x": "s + 6", "y": "z + 1", "u": "y + 19", "k": "u + 8", "l": "k + 19", "f": "l + 12", "b": "f + 12", "z": 1}, "premises": {"z": 1}, "target": "x"}, "answer": {"steps": [["o", "z + 19", 20], ["r", "o + 11", 31], ["g", "r + 12", 43], ["d", "g + 1", 44], ["s", "d + 4", 48], ["x", "s + 6", 54]], "target_var_name": "x", "target_value": 54, "value_dict": {"z": 1, "o": 20, "r": 31, "g": 43, "d": 44, "s": 48, "x": 54}, "is_reverse": false}}
| 291
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 8; d = g + 1; o = z + 19; f = l + 12; z = 1; x = s + 6; g = r + 12; y = z + 1; b = f + 12; u = y + 19; l = k + 19; s = d + 4; r = o + 11. If z = 1, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = z + 19, which gives o = 20.\n2. Compute r using r = o + 11, which gives r = 31.\n3. Compute g using g = r + 12, which gives g = 43.\n4. Compute d using d = g + 1, which gives d = 44.\n5. Compute s using s = d + 4, which gives s = 48.\n6. Compute x using x = s + 6, which gives x = 54.\n\nThus, the final answer is x = \\boxed{54}.",
"index": 291,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 8; d = g + 1; o = z + 19; f = l + 12; z = 1; x = s + 6; g = r + 12; y = z + 1; b = f + 12; u = y + 19; l = k + 19; s = d + 4; r = o + 11. If z = 1, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"o": "y + 17", "u": "o + 12", "b": "u + 6", "l": "b + 19", "z": "l + 5", "f": "z + 6", "a": "y + 1", "k": "a + 17", "c": "k + 15", "w": "c + 19", "d": "w + 20", "t": "d + 11", "y": 10}, "premises": {"y": 10}, "target": "f"}, "answer": {"steps": [["o", "y + 17", 27], ["u", "o + 12", 39], ["b", "u + 6", 45], ["l", "b + 19", 64], ["z", "l + 5", 69], ["f", "z + 6", 75]], "target_var_name": "f", "target_value": 75, "value_dict": {"y": 10, "o": 27, "u": 39, "b": 45, "l": 64, "z": 69, "f": 75}, "is_reverse": false}}
| 292
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 6; z = l + 5; o = y + 17; k = a + 17; t = d + 11; d = w + 20; w = c + 19; y = 10; a = y + 1; c = k + 15; l = b + 19; u = o + 12; f = z + 6. If y = 10, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = y + 17, which gives o = 27.\n2. Compute u using u = o + 12, which gives u = 39.\n3. Compute b using b = u + 6, which gives b = 45.\n4. Compute l using l = b + 19, which gives l = 64.\n5. Compute z using z = l + 5, which gives z = 69.\n6. Compute f using f = z + 6, which gives f = 75.\n\nThus, the final answer is f = \\boxed{75}.",
"index": 292,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 6; z = l + 5; o = y + 17; k = a + 17; t = d + 11; d = w + 20; w = c + 19; y = 10; a = y + 1; c = k + 15; l = b + 19; u = o + 12; f = z + 6. If y = 10, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 12", "x": "u + 20", "v": "x + 5", "q": "v + 7", "a": "q + 10", "n": "a + 13", "s": "m + 13", "j": "s + 19", "h": "j + 2", "t": "h + 12", "e": "t + 8", "k": "e + 16", "m": 17}, "premises": {"m": 17}, "target": "n"}, "answer": {"steps": [["u", "m + 12", 29], ["x", "u + 20", 49], ["v", "x + 5", 54], ["q", "v + 7", 61], ["a", "q + 10", 71], ["n", "a + 13", 84]], "target_var_name": "n", "target_value": 84, "value_dict": {"m": 17, "u": 29, "x": 49, "v": 54, "q": 61, "a": 71, "n": 84}, "is_reverse": false}}
| 293
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = x + 5; t = h + 12; j = s + 19; e = t + 8; k = e + 16; h = j + 2; q = v + 7; x = u + 20; m = 17; a = q + 10; n = a + 13; s = m + 13; u = m + 12. If m = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute u using u = m + 12, which gives u = 29.\n2. Compute x using x = u + 20, which gives x = 49.\n3. Compute v using v = x + 5, which gives v = 54.\n4. Compute q using q = v + 7, which gives q = 61.\n5. Compute a using a = q + 10, which gives a = 71.\n6. Compute n using n = a + 13, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 293,
"question": "Consider a system of variables where each variable is defined as follows: v = x + 5; t = h + 12; j = s + 19; e = t + 8; k = e + 16; h = j + 2; q = v + 7; x = u + 20; m = 17; a = q + 10; n = a + 13; s = m + 13; u = m + 12. If m = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "v + 14", "e": "w + 12", "y": "e + 4", "z": "y + 18", "p": "z + 1", "r": "p + 12", "k": "v + 13", "x": "k + 6", "s": "x + 3", "d": "s + 18", "m": "d + 6", "b": "m + 12", "v": 8}, "premises": {"v": 8}, "target": "r"}, "answer": {"steps": [["w", "v + 14", 22], ["e", "w + 12", 34], ["y", "e + 4", 38], ["z", "y + 18", 56], ["p", "z + 1", 57], ["r", "p + 12", 69]], "target_var_name": "r", "target_value": 69, "value_dict": {"v": 8, "w": 22, "e": 34, "y": 38, "z": 56, "p": 57, "r": 69}, "is_reverse": false}}
| 294
| 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 = d + 6; r = p + 12; v = 8; e = w + 12; p = z + 1; z = y + 18; d = s + 18; k = v + 13; y = e + 4; w = v + 14; x = k + 6; b = m + 12; s = x + 3. If v = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute w using w = v + 14, which gives w = 22.\n2. Compute e using e = w + 12, which gives e = 34.\n3. Compute y using y = e + 4, which gives y = 38.\n4. Compute z using z = y + 18, which gives z = 56.\n5. Compute p using p = z + 1, which gives p = 57.\n6. Compute r using r = p + 12, which gives r = 69.\n\nThus, the final answer is r = \\boxed{69}.",
"index": 294,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = d + 6; r = p + 12; v = 8; e = w + 12; p = z + 1; z = y + 18; d = s + 18; k = v + 13; y = e + 4; w = v + 14; x = k + 6; b = m + 12; s = x + 3. If v = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 7", "q": "f + 7", "v": "q + 18", "d": "v + 2", "h": "d + 7", "s": "h + 14", "w": "t + 14", "k": "w + 18", "x": "k + 20", "z": "x + 18", "p": "z + 8", "c": "p + 3", "t": 2}, "premises": {"t": 2}, "target": "s"}, "answer": {"steps": [["f", "t + 7", 9], ["q", "f + 7", 16], ["v", "q + 18", 34], ["d", "v + 2", 36], ["h", "d + 7", 43], ["s", "h + 14", 57]], "target_var_name": "s", "target_value": 57, "value_dict": {"t": 2, "f": 9, "q": 16, "v": 34, "d": 36, "h": 43, "s": 57}, "is_reverse": false}}
| 295
| 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 = z + 8; h = d + 7; x = k + 20; v = q + 18; w = t + 14; f = t + 7; q = f + 7; d = v + 2; t = 2; k = w + 18; c = p + 3; s = h + 14; z = x + 18. If t = 2, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute f using f = t + 7, which gives f = 9.\n2. Compute q using q = f + 7, which gives q = 16.\n3. Compute v using v = q + 18, which gives v = 34.\n4. Compute d using d = v + 2, which gives d = 36.\n5. Compute h using h = d + 7, which gives h = 43.\n6. Compute s using s = h + 14, which gives s = 57.\n\nThus, the final answer is s = \\boxed{57}.",
"index": 295,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = z + 8; h = d + 7; x = k + 20; v = q + 18; w = t + 14; f = t + 7; q = f + 7; d = v + 2; t = 2; k = w + 18; c = p + 3; s = h + 14; z = x + 18. If t = 2, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "y + 6", "h": "s + 8", "o": "h + 4", "w": "o + 20", "a": "w + 9", "f": "a + 19", "z": "y + 3", "r": "z + 10", "q": "r + 12", "v": "q + 6", "m": "v + 15", "b": "m + 13", "y": 18}, "premises": {"y": 18}, "target": "f"}, "answer": {"steps": [["s", "y + 6", 24], ["h", "s + 8", 32], ["o", "h + 4", 36], ["w", "o + 20", 56], ["a", "w + 9", 65], ["f", "a + 19", 84]], "target_var_name": "f", "target_value": 84, "value_dict": {"y": 18, "s": 24, "h": 32, "o": 36, "w": 56, "a": 65, "f": 84}, "is_reverse": false}}
| 296
| 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 = z + 10; z = y + 3; v = q + 6; o = h + 4; y = 18; h = s + 8; s = y + 6; a = w + 9; q = r + 12; m = v + 15; b = m + 13; w = o + 20; f = a + 19. If y = 18, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute s using s = y + 6, which gives s = 24.\n2. Compute h using h = s + 8, which gives h = 32.\n3. Compute o using o = h + 4, which gives o = 36.\n4. Compute w using w = o + 20, which gives w = 56.\n5. Compute a using a = w + 9, which gives a = 65.\n6. Compute f using f = a + 19, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 296,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = z + 10; z = y + 3; v = q + 6; o = h + 4; y = 18; h = s + 8; s = y + 6; a = w + 9; q = r + 12; m = v + 15; b = m + 13; w = o + 20; f = a + 19. If y = 18, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"q": "r + 17", "j": "q + 16", "v": "j + 17", "z": "v + 13", "d": "z + 20", "b": "d + 16", "k": "r + 12", "t": "k + 8", "p": "t + 8", "g": "p + 14", "i": "g + 12", "x": "i + 12", "r": 7}, "premises": {"r": 7}, "target": "b"}, "answer": {"steps": [["q", "r + 17", 24], ["j", "q + 16", 40], ["v", "j + 17", 57], ["z", "v + 13", 70], ["d", "z + 20", 90], ["b", "d + 16", 106]], "target_var_name": "b", "target_value": 106, "value_dict": {"r": 7, "q": 24, "j": 40, "v": 57, "z": 70, "d": 90, "b": 106}, "is_reverse": false}}
| 297
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 16; d = z + 20; q = r + 17; g = p + 14; r = 7; x = i + 12; i = g + 12; z = v + 13; v = j + 17; t = k + 8; j = q + 16; k = r + 12; p = t + 8. Given that r = 7, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute q using q = r + 17, which gives q = 24.\n2. Compute j using j = q + 16, which gives j = 40.\n3. Compute v using v = j + 17, which gives v = 57.\n4. Compute z using z = v + 13, which gives z = 70.\n5. Compute d using d = z + 20, which gives d = 90.\n6. Compute b using b = d + 16, which gives b = 106.\n\nThus, the final answer is b = \\boxed{106}.",
"index": 297,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 16; d = z + 20; q = r + 17; g = p + 14; r = 7; x = i + 12; i = g + 12; z = v + 13; v = j + 17; t = k + 8; j = q + 16; k = r + 12; p = t + 8. Given that r = 7, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"o": "p + 9", "l": "o + 10", "w": "l + 2", "v": "w + 3", "h": "v + 13", "r": "h + 17", "t": "p + 19", "q": "t + 4", "g": "q + 19", "d": "g + 10", "u": "d + 7", "c": "u + 1", "p": 18}, "premises": {"p": 18}, "target": "r"}, "answer": {"steps": [["o", "p + 9", 27], ["l", "o + 10", 37], ["w", "l + 2", 39], ["v", "w + 3", 42], ["h", "v + 13", 55], ["r", "h + 17", 72]], "target_var_name": "r", "target_value": 72, "value_dict": {"p": 18, "o": 27, "l": 37, "w": 39, "v": 42, "h": 55, "r": 72}, "is_reverse": false}}
| 298
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 13; l = o + 10; q = t + 4; v = w + 3; c = u + 1; p = 18; u = d + 7; w = l + 2; d = g + 10; o = p + 9; r = h + 17; t = p + 19; g = q + 19. If p = 18, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute o using o = p + 9, which gives o = 27.\n2. Compute l using l = o + 10, which gives l = 37.\n3. Compute w using w = l + 2, which gives w = 39.\n4. Compute v using v = w + 3, which gives v = 42.\n5. Compute h using h = v + 13, which gives h = 55.\n6. Compute r using r = h + 17, which gives r = 72.\n\nThus, the final answer is r = \\boxed{72}.",
"index": 298,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 13; l = o + 10; q = t + 4; v = w + 3; c = u + 1; p = 18; u = d + 7; w = l + 2; d = g + 10; o = p + 9; r = h + 17; t = p + 19; g = q + 19. If p = 18, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 13", "h": "a + 15", "b": "h + 14", "t": "b + 19", "v": "t + 6", "s": "v + 9", "c": "f + 10", "q": "c + 4", "i": "q + 13", "d": "i + 17", "r": "d + 20", "w": "r + 20", "f": 6}, "premises": {"f": 6}, "target": "s"}, "answer": {"steps": [["a", "f + 13", 19], ["h", "a + 15", 34], ["b", "h + 14", 48], ["t", "b + 19", 67], ["v", "t + 6", 73], ["s", "v + 9", 82]], "target_var_name": "s", "target_value": 82, "value_dict": {"f": 6, "a": 19, "h": 34, "b": 48, "t": 67, "v": 73, "s": 82}, "is_reverse": false}}
| 299
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 9; t = b + 19; q = c + 4; h = a + 15; f = 6; a = f + 13; r = d + 20; w = r + 20; i = q + 13; c = f + 10; d = i + 17; b = h + 14; v = t + 6. If f = 6, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Compute a using a = f + 13, which gives a = 19.\n2. Compute h using h = a + 15, which gives h = 34.\n3. Compute b using b = h + 14, which gives b = 48.\n4. Compute t using t = b + 19, which gives t = 67.\n5. Compute v using v = t + 6, which gives v = 73.\n6. Compute s using s = v + 9, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 299,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 9; t = b + 19; q = c + 4; h = a + 15; f = 6; a = f + 13; r = d + 20; w = r + 20; i = q + 13; c = f + 10; d = i + 17; b = h + 14; v = t + 6. If f = 6, what is the resulting value of s?",
"split": "train"
}
|
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