meta
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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
value | prompt
listlengths 1
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stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "h + 10", "b": "m + 7", "q": "b + 6", "y": "q + 16", "a": "y + 14", "k": "a + 8", "d": "h + 10", "f": "d + 19", "t": "f + 20", "n": "t + 16", "x": "n + 15", "l": "x + 1", "h": 13}, "premises": {"h": 13}, "target": "k"}, "answer": {"steps": [["a", "y + 14", "y + 22"], ["y", "q + 16", "q + 38"], ["q", "b + 6", "b + 44"], ["b", "m + 7", "m + 51"], ["m", "h + 10", "h + 61"], ["h", 13, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"h": 13}, "is_reverse": true}}
| 0
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = d + 19; h = 13; q = b + 6; a = y + 14; y = q + 16; d = h + 10; k = a + 8; l = x + 1; b = m + 7; m = h + 10; t = f + 20; n = t + 16; x = n + 15. Given that h = 13, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = y + 14 to k, which gives k = y + 22.\n2. Substitute y = q + 16 to k, which gives k = q + 38.\n3. Substitute q = b + 6 to k, which gives k = b + 44.\n4. Substitute b = m + 7 to k, which gives k = m + 51.\n5. Substitute m = h + 10 to k, which gives k = h + 61.\n6. Substitute h = 13 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 0,
"question": "Suppose a collection of variables is related by the following definitions: f = d + 19; h = 13; q = b + 6; a = y + 14; y = q + 16; d = h + 10; k = a + 8; l = x + 1; b = m + 7; m = h + 10; t = f + 20; n = t + 16; x = n + 15. Given that h = 13, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 11", "l": "r + 7", "z": "l + 3", "o": "z + 4", "f": "o + 18", "m": "f + 4", "s": "e + 10", "g": "s + 1", "t": "g + 19", "p": "t + 17", "n": "p + 15", "a": "n + 15", "e": 13}, "premises": {"e": 13}, "target": "m"}, "answer": {"steps": [["f", "o + 18", "o + 22"], ["o", "z + 4", "z + 26"], ["z", "l + 3", "l + 29"], ["l", "r + 7", "r + 36"], ["r", "e + 11", "e + 47"], ["e", 13, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"e": 13}, "is_reverse": true}}
| 1
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = t + 17; a = n + 15; n = p + 15; r = e + 11; g = s + 1; l = r + 7; s = e + 10; t = g + 19; e = 13; z = l + 3; o = z + 4; m = f + 4; f = o + 18. Given that e = 13, find 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. Substitute f = o + 18 to m, which gives m = o + 22.\n2. Substitute o = z + 4 to m, which gives m = z + 26.\n3. Substitute z = l + 3 to m, which gives m = l + 29.\n4. Substitute l = r + 7 to m, which gives m = r + 36.\n5. Substitute r = e + 11 to m, which gives m = e + 47.\n6. Substitute e = 13 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 1,
"question": "Suppose a collection of variables is related by the following definitions: p = t + 17; a = n + 15; n = p + 15; r = e + 11; g = s + 1; l = r + 7; s = e + 10; t = g + 19; e = 13; z = l + 3; o = z + 4; m = f + 4; f = o + 18. Given that e = 13, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "e + 17", "p": "x + 14", "u": "p + 20", "h": "u + 4", "y": "h + 18", "f": "y + 18", "w": "e + 17", "m": "w + 4", "z": "m + 18", "k": "z + 17", "g": "k + 7", "j": "g + 13", "e": 12}, "premises": {"e": 12}, "target": "f"}, "answer": {"steps": [["y", "h + 18", "h + 36"], ["h", "u + 4", "u + 40"], ["u", "p + 20", "p + 60"], ["p", "x + 14", "x + 74"], ["x", "e + 17", "e + 91"], ["e", 12, "103"]], "target_var_name": "f", "target_value": 103, "value_dict": {"e": 12}, "is_reverse": true}}
| 2
| 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 = y + 18; u = p + 20; x = e + 17; h = u + 4; p = x + 14; g = k + 7; w = e + 17; y = h + 18; k = z + 17; z = m + 18; e = 12; m = w + 4; j = g + 13. If e = 12, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 18 to f, which gives f = h + 36.\n2. Substitute h = u + 4 to f, which gives f = u + 40.\n3. Substitute u = p + 20 to f, which gives f = p + 60.\n4. Substitute p = x + 14 to f, which gives f = x + 74.\n5. Substitute x = e + 17 to f, which gives f = e + 91.\n6. Substitute e = 12 to f, which gives f = 103.\n\nThus, the final answer is f = \\boxed{103}.",
"index": 2,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = y + 18; u = p + 20; x = e + 17; h = u + 4; p = x + 14; g = k + 7; w = e + 17; y = h + 18; k = z + 17; z = m + 18; e = 12; m = w + 4; j = g + 13. If e = 12, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"z": "x + 5", "s": "z + 13", "e": "s + 7", "o": "e + 17", "y": "o + 13", "a": "y + 14", "c": "x + 8", "d": "c + 11", "i": "d + 5", "k": "i + 5", "h": "k + 5", "v": "h + 13", "x": 12}, "premises": {"x": 12}, "target": "a"}, "answer": {"steps": [["y", "o + 13", "o + 27"], ["o", "e + 17", "e + 44"], ["e", "s + 7", "s + 51"], ["s", "z + 13", "z + 64"], ["z", "x + 5", "x + 69"], ["x", 12, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"x": 12}, "is_reverse": true}}
| 3
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = z + 13; i = d + 5; e = s + 7; h = k + 5; a = y + 14; c = x + 8; z = x + 5; x = 12; v = h + 13; y = o + 13; o = e + 17; k = i + 5; d = c + 11. Given that x = 12, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 13 to a, which gives a = o + 27.\n2. Substitute o = e + 17 to a, which gives a = e + 44.\n3. Substitute e = s + 7 to a, which gives a = s + 51.\n4. Substitute s = z + 13 to a, which gives a = z + 64.\n5. Substitute z = x + 5 to a, which gives a = x + 69.\n6. Substitute x = 12 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 3,
"question": "Suppose a collection of variables is related by the following definitions: s = z + 13; i = d + 5; e = s + 7; h = k + 5; a = y + 14; c = x + 8; z = x + 5; x = 12; v = h + 13; y = o + 13; o = e + 17; k = i + 5; d = c + 11. Given that x = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 11", "z": "y + 2", "i": "z + 5", "q": "i + 20", "v": "q + 10", "k": "v + 15", "e": "f + 6", "n": "e + 6", "s": "n + 11", "g": "s + 17", "l": "g + 5", "c": "l + 19", "f": 7}, "premises": {"f": 7}, "target": "k"}, "answer": {"steps": [["v", "q + 10", "q + 25"], ["q", "i + 20", "i + 45"], ["i", "z + 5", "z + 50"], ["z", "y + 2", "y + 52"], ["y", "f + 11", "f + 63"], ["f", 7, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"f": 7}, "is_reverse": true}}
| 4
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 5; k = v + 15; e = f + 6; v = q + 10; q = i + 20; f = 7; z = y + 2; y = f + 11; g = s + 17; c = l + 19; n = e + 6; i = z + 5; s = n + 11. If f = 7, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 10 to k, which gives k = q + 25.\n2. Substitute q = i + 20 to k, which gives k = i + 45.\n3. Substitute i = z + 5 to k, which gives k = z + 50.\n4. Substitute z = y + 2 to k, which gives k = y + 52.\n5. Substitute y = f + 11 to k, which gives k = f + 63.\n6. Substitute f = 7 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 4,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 5; k = v + 15; e = f + 6; v = q + 10; q = i + 20; f = 7; z = y + 2; y = f + 11; g = s + 17; c = l + 19; n = e + 6; i = z + 5; s = n + 11. If f = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 9", "n": "q + 12", "z": "n + 5", "m": "z + 10", "k": "m + 18", "f": "k + 3", "l": "h + 2", "t": "l + 15", "s": "t + 14", "i": "s + 6", "y": "i + 10", "j": "y + 20", "h": 6}, "premises": {"h": 6}, "target": "f"}, "answer": {"steps": [["k", "m + 18", "m + 21"], ["m", "z + 10", "z + 31"], ["z", "n + 5", "n + 36"], ["n", "q + 12", "q + 48"], ["q", "h + 9", "h + 57"], ["h", 6, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"h": 6}, "is_reverse": true}}
| 5
| 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 + 3; t = l + 15; k = m + 18; n = q + 12; i = s + 6; z = n + 5; y = i + 10; m = z + 10; s = t + 14; j = y + 20; q = h + 9; h = 6; l = h + 2. If h = 6, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 18 to f, which gives f = m + 21.\n2. Substitute m = z + 10 to f, which gives f = z + 31.\n3. Substitute z = n + 5 to f, which gives f = n + 36.\n4. Substitute n = q + 12 to f, which gives f = q + 48.\n5. Substitute q = h + 9 to f, which gives f = h + 57.\n6. Substitute h = 6 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 5,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = k + 3; t = l + 15; k = m + 18; n = q + 12; i = s + 6; z = n + 5; y = i + 10; m = z + 10; s = t + 14; j = y + 20; q = h + 9; h = 6; l = h + 2. If h = 6, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 14", "u": "b + 9", "q": "u + 7", "e": "q + 2", "t": "e + 12", "x": "t + 3", "d": "l + 9", "k": "d + 9", "a": "k + 16", "m": "a + 15", "c": "m + 15", "i": "c + 13", "l": 5}, "premises": {"l": 5}, "target": "x"}, "answer": {"steps": [["t", "e + 12", "e + 15"], ["e", "q + 2", "q + 17"], ["q", "u + 7", "u + 24"], ["u", "b + 9", "b + 33"], ["b", "l + 14", "l + 47"], ["l", 5, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"l": 5}, "is_reverse": true}}
| 6
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 14; u = b + 9; m = a + 15; d = l + 9; l = 5; x = t + 3; c = m + 15; e = q + 2; i = c + 13; k = d + 9; t = e + 12; a = k + 16; q = u + 7. Given that l = 5, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 12 to x, which gives x = e + 15.\n2. Substitute e = q + 2 to x, which gives x = q + 17.\n3. Substitute q = u + 7 to x, which gives x = u + 24.\n4. Substitute u = b + 9 to x, which gives x = b + 33.\n5. Substitute b = l + 14 to x, which gives x = l + 47.\n6. Substitute l = 5 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 6,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 14; u = b + 9; m = a + 15; d = l + 9; l = 5; x = t + 3; c = m + 15; e = q + 2; i = c + 13; k = d + 9; t = e + 12; a = k + 16; q = u + 7. Given that l = 5, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 20", "k": "p + 6", "m": "k + 7", "q": "m + 13", "d": "q + 20", "h": "d + 17", "i": "g + 13", "a": "i + 20", "v": "a + 20", "y": "v + 8", "t": "y + 15", "n": "t + 2", "g": 14}, "premises": {"g": 14}, "target": "h"}, "answer": {"steps": [["d", "q + 20", "q + 37"], ["q", "m + 13", "m + 50"], ["m", "k + 7", "k + 57"], ["k", "p + 6", "p + 63"], ["p", "g + 20", "g + 83"], ["g", 14, "97"]], "target_var_name": "h", "target_value": 97, "value_dict": {"g": 14}, "is_reverse": true}}
| 7
| 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 = d + 17; y = v + 8; p = g + 20; d = q + 20; k = p + 6; g = 14; q = m + 13; i = g + 13; m = k + 7; n = t + 2; v = a + 20; t = y + 15; a = i + 20. If g = 14, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 20 to h, which gives h = q + 37.\n2. Substitute q = m + 13 to h, which gives h = m + 50.\n3. Substitute m = k + 7 to h, which gives h = k + 57.\n4. Substitute k = p + 6 to h, which gives h = p + 63.\n5. Substitute p = g + 20 to h, which gives h = g + 83.\n6. Substitute g = 14 to h, which gives h = 97.\n\nThus, the final answer is h = \\boxed{97}.",
"index": 7,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = d + 17; y = v + 8; p = g + 20; d = q + 20; k = p + 6; g = 14; q = m + 13; i = g + 13; m = k + 7; n = t + 2; v = a + 20; t = y + 15; a = i + 20. If g = 14, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"c": "x + 16", "m": "c + 1", "u": "m + 5", "v": "u + 8", "e": "v + 18", "d": "e + 7", "g": "x + 5", "t": "g + 13", "a": "t + 10", "b": "a + 20", "l": "b + 17", "w": "l + 3", "x": 5}, "premises": {"x": 5}, "target": "d"}, "answer": {"steps": [["e", "v + 18", "v + 25"], ["v", "u + 8", "u + 33"], ["u", "m + 5", "m + 38"], ["m", "c + 1", "c + 39"], ["c", "x + 16", "x + 55"], ["x", 5, "60"]], "target_var_name": "d", "target_value": 60, "value_dict": {"x": 5}, "is_reverse": true}}
| 8
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = c + 1; b = a + 20; e = v + 18; t = g + 13; g = x + 5; w = l + 3; x = 5; l = b + 17; v = u + 8; a = t + 10; c = x + 16; d = e + 7; u = m + 5. If x = 5, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 18 to d, which gives d = v + 25.\n2. Substitute v = u + 8 to d, which gives d = u + 33.\n3. Substitute u = m + 5 to d, which gives d = m + 38.\n4. Substitute m = c + 1 to d, which gives d = c + 39.\n5. Substitute c = x + 16 to d, which gives d = x + 55.\n6. Substitute x = 5 to d, which gives d = 60.\n\nThus, the final answer is d = \\boxed{60}.",
"index": 8,
"question": "Consider a system of variables where each variable is defined as follows: m = c + 1; b = a + 20; e = v + 18; t = g + 13; g = x + 5; w = l + 3; x = 5; l = b + 17; v = u + 8; a = t + 10; c = x + 16; d = e + 7; u = m + 5. If x = 5, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 5", "c": "v + 4", "e": "c + 8", "g": "e + 20", "r": "g + 17", "z": "r + 12", "k": "y + 12", "q": "k + 9", "m": "q + 7", "a": "m + 13", "n": "a + 2", "t": "n + 3", "y": 1}, "premises": {"y": 1}, "target": "z"}, "answer": {"steps": [["r", "g + 17", "g + 29"], ["g", "e + 20", "e + 49"], ["e", "c + 8", "c + 57"], ["c", "v + 4", "v + 61"], ["v", "y + 5", "y + 66"], ["y", 1, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"y": 1}, "is_reverse": true}}
| 9
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = c + 8; g = e + 20; z = r + 12; k = y + 12; v = y + 5; t = n + 3; y = 1; c = v + 4; n = a + 2; q = k + 9; r = g + 17; a = m + 13; m = q + 7. If y = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 17 to z, which gives z = g + 29.\n2. Substitute g = e + 20 to z, which gives z = e + 49.\n3. Substitute e = c + 8 to z, which gives z = c + 57.\n4. Substitute c = v + 4 to z, which gives z = v + 61.\n5. Substitute v = y + 5 to z, which gives z = y + 66.\n6. Substitute y = 1 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 9,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 8; g = e + 20; z = r + 12; k = y + 12; v = y + 5; t = n + 3; y = 1; c = v + 4; n = a + 2; q = k + 9; r = g + 17; a = m + 13; m = q + 7. If y = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 13", "j": "n + 16", "o": "j + 16", "r": "o + 17", "h": "r + 18", "e": "h + 11", "m": "w + 7", "y": "m + 3", "i": "y + 3", "a": "i + 12", "b": "a + 8", "p": "b + 4", "w": 17}, "premises": {"w": 17}, "target": "e"}, "answer": {"steps": [["h", "r + 18", "r + 29"], ["r", "o + 17", "o + 46"], ["o", "j + 16", "j + 62"], ["j", "n + 16", "n + 78"], ["n", "w + 13", "w + 91"], ["w", 17, "108"]], "target_var_name": "e", "target_value": 108, "value_dict": {"w": 17}, "is_reverse": true}}
| 10
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = a + 8; o = j + 16; e = h + 11; p = b + 4; j = n + 16; w = 17; a = i + 12; y = m + 3; m = w + 7; h = r + 18; r = o + 17; n = w + 13; i = y + 3. If w = 17, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 18 to e, which gives e = r + 29.\n2. Substitute r = o + 17 to e, which gives e = o + 46.\n3. Substitute o = j + 16 to e, which gives e = j + 62.\n4. Substitute j = n + 16 to e, which gives e = n + 78.\n5. Substitute n = w + 13 to e, which gives e = w + 91.\n6. Substitute w = 17 to e, which gives e = 108.\n\nThus, the final answer is e = \\boxed{108}.",
"index": 10,
"question": "Consider a system of variables where each variable is defined as follows: b = a + 8; o = j + 16; e = h + 11; p = b + 4; j = n + 16; w = 17; a = i + 12; y = m + 3; m = w + 7; h = r + 18; r = o + 17; n = w + 13; i = y + 3. If w = 17, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"o": "n + 19", "u": "o + 15", "t": "u + 5", "m": "t + 8", "g": "m + 14", "k": "g + 12", "v": "n + 8", "p": "v + 9", "j": "p + 13", "y": "j + 13", "l": "y + 17", "e": "l + 18", "n": 14}, "premises": {"n": 14}, "target": "k"}, "answer": {"steps": [["g", "m + 14", "m + 26"], ["m", "t + 8", "t + 34"], ["t", "u + 5", "u + 39"], ["u", "o + 15", "o + 54"], ["o", "n + 19", "n + 73"], ["n", 14, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"n": 14}, "is_reverse": true}}
| 11
| 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 = v + 9; o = n + 19; v = n + 8; k = g + 12; y = j + 13; j = p + 13; u = o + 15; g = m + 14; m = t + 8; e = l + 18; l = y + 17; t = u + 5; n = 14. If n = 14, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = m + 14 to k, which gives k = m + 26.\n2. Substitute m = t + 8 to k, which gives k = t + 34.\n3. Substitute t = u + 5 to k, which gives k = u + 39.\n4. Substitute u = o + 15 to k, which gives k = o + 54.\n5. Substitute o = n + 19 to k, which gives k = n + 73.\n6. Substitute n = 14 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 11,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = v + 9; o = n + 19; v = n + 8; k = g + 12; y = j + 13; j = p + 13; u = o + 15; g = m + 14; m = t + 8; e = l + 18; l = y + 17; t = u + 5; n = 14. If n = 14, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"y": "s + 17", "q": "y + 1", "f": "q + 17", "w": "f + 17", "l": "w + 15", "m": "l + 6", "t": "s + 8", "r": "t + 9", "p": "r + 17", "o": "p + 12", "e": "o + 5", "x": "e + 10", "s": 10}, "premises": {"s": 10}, "target": "m"}, "answer": {"steps": [["l", "w + 15", "w + 21"], ["w", "f + 17", "f + 38"], ["f", "q + 17", "q + 55"], ["q", "y + 1", "y + 56"], ["y", "s + 17", "s + 73"], ["s", 10, "83"]], "target_var_name": "m", "target_value": 83, "value_dict": {"s": 10}, "is_reverse": true}}
| 12
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 15; y = s + 17; f = q + 17; x = e + 10; o = p + 12; r = t + 9; w = f + 17; t = s + 8; s = 10; p = r + 17; m = l + 6; q = y + 1; e = o + 5. If s = 10, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 15 to m, which gives m = w + 21.\n2. Substitute w = f + 17 to m, which gives m = f + 38.\n3. Substitute f = q + 17 to m, which gives m = q + 55.\n4. Substitute q = y + 1 to m, which gives m = y + 56.\n5. Substitute y = s + 17 to m, which gives m = s + 73.\n6. Substitute s = 10 to m, which gives m = 83.\n\nThus, the final answer is m = \\boxed{83}.",
"index": 12,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 15; y = s + 17; f = q + 17; x = e + 10; o = p + 12; r = t + 9; w = f + 17; t = s + 8; s = 10; p = r + 17; m = l + 6; q = y + 1; e = o + 5. If s = 10, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"e": "i + 11", "r": "e + 1", "f": "r + 18", "j": "f + 19", "d": "j + 12", "g": "d + 7", "a": "i + 15", "p": "a + 1", "l": "p + 17", "m": "l + 9", "k": "m + 19", "w": "k + 16", "i": 11}, "premises": {"i": 11}, "target": "g"}, "answer": {"steps": [["d", "j + 12", "j + 19"], ["j", "f + 19", "f + 38"], ["f", "r + 18", "r + 56"], ["r", "e + 1", "e + 57"], ["e", "i + 11", "i + 68"], ["i", 11, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"i": 11}, "is_reverse": true}}
| 13
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = m + 19; a = i + 15; w = k + 16; g = d + 7; p = a + 1; r = e + 1; d = j + 12; j = f + 19; m = l + 9; e = i + 11; f = r + 18; i = 11; l = p + 17. Given that i = 11, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 12 to g, which gives g = j + 19.\n2. Substitute j = f + 19 to g, which gives g = f + 38.\n3. Substitute f = r + 18 to g, which gives g = r + 56.\n4. Substitute r = e + 1 to g, which gives g = e + 57.\n5. Substitute e = i + 11 to g, which gives g = i + 68.\n6. Substitute i = 11 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 13,
"question": "Suppose a collection of variables is related by the following definitions: k = m + 19; a = i + 15; w = k + 16; g = d + 7; p = a + 1; r = e + 1; d = j + 12; j = f + 19; m = l + 9; e = i + 11; f = r + 18; i = 11; l = p + 17. Given that i = 11, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "f + 8", "d": "q + 9", "k": "d + 14", "x": "k + 13", "s": "x + 9", "w": "s + 11", "a": "f + 14", "j": "a + 19", "c": "j + 13", "r": "c + 8", "g": "r + 14", "z": "g + 5", "f": 2}, "premises": {"f": 2}, "target": "w"}, "answer": {"steps": [["s", "x + 9", "x + 20"], ["x", "k + 13", "k + 33"], ["k", "d + 14", "d + 47"], ["d", "q + 9", "q + 56"], ["q", "f + 8", "f + 64"], ["f", 2, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"f": 2}, "is_reverse": true}}
| 14
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = r + 14; x = k + 13; s = x + 9; z = g + 5; f = 2; q = f + 8; c = j + 13; k = d + 14; j = a + 19; w = s + 11; a = f + 14; r = c + 8; d = q + 9. If f = 2, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 9 to w, which gives w = x + 20.\n2. Substitute x = k + 13 to w, which gives w = k + 33.\n3. Substitute k = d + 14 to w, which gives w = d + 47.\n4. Substitute d = q + 9 to w, which gives w = q + 56.\n5. Substitute q = f + 8 to w, which gives w = f + 64.\n6. Substitute f = 2 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 14,
"question": "Consider a system of variables where each variable is defined as follows: g = r + 14; x = k + 13; s = x + 9; z = g + 5; f = 2; q = f + 8; c = j + 13; k = d + 14; j = a + 19; w = s + 11; a = f + 14; r = c + 8; d = q + 9. If f = 2, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 12", "b": "c + 2", "o": "b + 11", "q": "o + 12", "v": "q + 2", "k": "v + 13", "h": "r + 11", "e": "h + 6", "i": "e + 5", "a": "i + 15", "d": "a + 6", "y": "d + 7", "r": 7}, "premises": {"r": 7}, "target": "k"}, "answer": {"steps": [["v", "q + 2", "q + 15"], ["q", "o + 12", "o + 27"], ["o", "b + 11", "b + 38"], ["b", "c + 2", "c + 40"], ["c", "r + 12", "r + 52"], ["r", 7, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"r": 7}, "is_reverse": true}}
| 15
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 11; h = r + 11; i = e + 5; k = v + 13; y = d + 7; e = h + 6; b = c + 2; v = q + 2; d = a + 6; q = o + 12; c = r + 12; r = 7; a = i + 15. If r = 7, 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. Substitute v = q + 2 to k, which gives k = q + 15.\n2. Substitute q = o + 12 to k, which gives k = o + 27.\n3. Substitute o = b + 11 to k, which gives k = b + 38.\n4. Substitute b = c + 2 to k, which gives k = c + 40.\n5. Substitute c = r + 12 to k, which gives k = r + 52.\n6. Substitute r = 7 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 15,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 11; h = r + 11; i = e + 5; k = v + 13; y = d + 7; e = h + 6; b = c + 2; v = q + 2; d = a + 6; q = o + 12; c = r + 12; r = 7; a = i + 15. If r = 7, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 14", "q": "w + 12", "e": "q + 18", "v": "e + 5", "b": "v + 11", "f": "b + 17", "d": "l + 13", "s": "d + 6", "j": "s + 14", "o": "j + 2", "m": "o + 8", "h": "m + 20", "l": 7}, "premises": {"l": 7}, "target": "f"}, "answer": {"steps": [["b", "v + 11", "v + 28"], ["v", "e + 5", "e + 33"], ["e", "q + 18", "q + 51"], ["q", "w + 12", "w + 63"], ["w", "l + 14", "l + 77"], ["l", 7, "84"]], "target_var_name": "f", "target_value": 84, "value_dict": {"l": 7}, "is_reverse": true}}
| 16
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 8; d = l + 13; v = e + 5; h = m + 20; l = 7; w = l + 14; b = v + 11; f = b + 17; e = q + 18; s = d + 6; o = j + 2; j = s + 14; q = w + 12. If l = 7, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 11 to f, which gives f = v + 28.\n2. Substitute v = e + 5 to f, which gives f = e + 33.\n3. Substitute e = q + 18 to f, which gives f = q + 51.\n4. Substitute q = w + 12 to f, which gives f = w + 63.\n5. Substitute w = l + 14 to f, which gives f = l + 77.\n6. Substitute l = 7 to f, which gives f = 84.\n\nThus, the final answer is f = \\boxed{84}.",
"index": 16,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 8; d = l + 13; v = e + 5; h = m + 20; l = 7; w = l + 14; b = v + 11; f = b + 17; e = q + 18; s = d + 6; o = j + 2; j = s + 14; q = w + 12. If l = 7, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 9", "z": "l + 18", "i": "z + 6", "w": "i + 11", "t": "w + 3", "n": "t + 14", "e": "b + 3", "y": "e + 11", "m": "y + 13", "j": "m + 20", "r": "j + 16", "a": "r + 13", "b": 20}, "premises": {"b": 20}, "target": "n"}, "answer": {"steps": [["t", "w + 3", "w + 17"], ["w", "i + 11", "i + 28"], ["i", "z + 6", "z + 34"], ["z", "l + 18", "l + 52"], ["l", "b + 9", "b + 61"], ["b", 20, "81"]], "target_var_name": "n", "target_value": 81, "value_dict": {"b": 20}, "is_reverse": true}}
| 17
| 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 = r + 13; m = y + 13; b = 20; j = m + 20; y = e + 11; w = i + 11; n = t + 14; t = w + 3; i = z + 6; z = l + 18; l = b + 9; e = b + 3; r = j + 16. If b = 20, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 3 to n, which gives n = w + 17.\n2. Substitute w = i + 11 to n, which gives n = i + 28.\n3. Substitute i = z + 6 to n, which gives n = z + 34.\n4. Substitute z = l + 18 to n, which gives n = l + 52.\n5. Substitute l = b + 9 to n, which gives n = b + 61.\n6. Substitute b = 20 to n, which gives n = 81.\n\nThus, the final answer is n = \\boxed{81}.",
"index": 17,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 13; m = y + 13; b = 20; j = m + 20; y = e + 11; w = i + 11; n = t + 14; t = w + 3; i = z + 6; z = l + 18; l = b + 9; e = b + 3; r = j + 16. If b = 20, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"k": "n + 4", "f": "k + 10", "o": "f + 20", "j": "o + 9", "y": "j + 8", "s": "y + 3", "x": "n + 15", "c": "x + 10", "i": "c + 19", "d": "i + 16", "e": "d + 16", "v": "e + 1", "n": 5}, "premises": {"n": 5}, "target": "s"}, "answer": {"steps": [["y", "j + 8", "j + 11"], ["j", "o + 9", "o + 20"], ["o", "f + 20", "f + 40"], ["f", "k + 10", "k + 50"], ["k", "n + 4", "n + 54"], ["n", 5, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"n": 5}, "is_reverse": true}}
| 18
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 10; j = o + 9; i = c + 19; s = y + 3; v = e + 1; x = n + 15; f = k + 10; n = 5; y = j + 8; k = n + 4; o = f + 20; e = d + 16; d = i + 16. If n = 5, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = j + 8 to s, which gives s = j + 11.\n2. Substitute j = o + 9 to s, which gives s = o + 20.\n3. Substitute o = f + 20 to s, which gives s = f + 40.\n4. Substitute f = k + 10 to s, which gives s = k + 50.\n5. Substitute k = n + 4 to s, which gives s = n + 54.\n6. Substitute n = 5 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 18,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 10; j = o + 9; i = c + 19; s = y + 3; v = e + 1; x = n + 15; f = k + 10; n = 5; y = j + 8; k = n + 4; o = f + 20; e = d + 16; d = i + 16. If n = 5, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 12", "y": "v + 18", "u": "y + 5", "f": "u + 3", "a": "f + 20", "g": "a + 12", "r": "n + 13", "o": "r + 12", "e": "o + 3", "w": "e + 4", "b": "w + 11", "c": "b + 13", "n": 7}, "premises": {"n": 7}, "target": "g"}, "answer": {"steps": [["a", "f + 20", "f + 32"], ["f", "u + 3", "u + 35"], ["u", "y + 5", "y + 40"], ["y", "v + 18", "v + 58"], ["v", "n + 12", "n + 70"], ["n", 7, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"n": 7}, "is_reverse": true}}
| 19
| 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 = 7; r = n + 13; u = y + 5; o = r + 12; v = n + 12; c = b + 13; w = e + 4; f = u + 3; a = f + 20; b = w + 11; e = o + 3; y = v + 18; g = a + 12. If n = 7, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = f + 20 to g, which gives g = f + 32.\n2. Substitute f = u + 3 to g, which gives g = u + 35.\n3. Substitute u = y + 5 to g, which gives g = y + 40.\n4. Substitute y = v + 18 to g, which gives g = v + 58.\n5. Substitute v = n + 12 to g, which gives g = n + 70.\n6. Substitute n = 7 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 19,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = 7; r = n + 13; u = y + 5; o = r + 12; v = n + 12; c = b + 13; w = e + 4; f = u + 3; a = f + 20; b = w + 11; e = o + 3; y = v + 18; g = a + 12. If n = 7, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"p": "c + 4", "t": "p + 12", "f": "t + 20", "g": "f + 5", "w": "g + 16", "j": "w + 7", "o": "c + 19", "l": "o + 16", "d": "l + 9", "x": "d + 3", "e": "x + 14", "q": "e + 20", "c": 6}, "premises": {"c": 6}, "target": "j"}, "answer": {"steps": [["w", "g + 16", "g + 23"], ["g", "f + 5", "f + 28"], ["f", "t + 20", "t + 48"], ["t", "p + 12", "p + 60"], ["p", "c + 4", "c + 64"], ["c", 6, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"c": 6}, "is_reverse": true}}
| 20
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = w + 7; o = c + 19; x = d + 3; p = c + 4; l = o + 16; c = 6; f = t + 20; d = l + 9; t = p + 12; q = e + 20; e = x + 14; g = f + 5; w = g + 16. Given that c = 6, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 16 to j, which gives j = g + 23.\n2. Substitute g = f + 5 to j, which gives j = f + 28.\n3. Substitute f = t + 20 to j, which gives j = t + 48.\n4. Substitute t = p + 12 to j, which gives j = p + 60.\n5. Substitute p = c + 4 to j, which gives j = c + 64.\n6. Substitute c = 6 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 20,
"question": "Suppose a collection of variables is related by the following definitions: j = w + 7; o = c + 19; x = d + 3; p = c + 4; l = o + 16; c = 6; f = t + 20; d = l + 9; t = p + 12; q = e + 20; e = x + 14; g = f + 5; w = g + 16. Given that c = 6, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"b": "o + 8", "v": "b + 4", "j": "v + 12", "d": "j + 14", "n": "d + 19", "u": "n + 5", "p": "o + 8", "m": "p + 10", "g": "m + 13", "a": "g + 1", "e": "a + 1", "w": "e + 12", "o": 3}, "premises": {"o": 3}, "target": "u"}, "answer": {"steps": [["n", "d + 19", "d + 24"], ["d", "j + 14", "j + 38"], ["j", "v + 12", "v + 50"], ["v", "b + 4", "b + 54"], ["b", "o + 8", "o + 62"], ["o", 3, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"o": 3}, "is_reverse": true}}
| 21
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 14; u = n + 5; p = o + 8; n = d + 19; w = e + 12; j = v + 12; b = o + 8; o = 3; v = b + 4; m = p + 10; g = m + 13; e = a + 1; a = g + 1. If o = 3, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 19 to u, which gives u = d + 24.\n2. Substitute d = j + 14 to u, which gives u = j + 38.\n3. Substitute j = v + 12 to u, which gives u = v + 50.\n4. Substitute v = b + 4 to u, which gives u = b + 54.\n5. Substitute b = o + 8 to u, which gives u = o + 62.\n6. Substitute o = 3 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 21,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 14; u = n + 5; p = o + 8; n = d + 19; w = e + 12; j = v + 12; b = o + 8; o = 3; v = b + 4; m = p + 10; g = m + 13; e = a + 1; a = g + 1. If o = 3, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 6", "b": "a + 5", "n": "b + 20", "w": "n + 2", "d": "w + 7", "h": "d + 11", "z": "g + 14", "s": "z + 11", "y": "s + 14", "e": "y + 9", "u": "e + 12", "i": "u + 18", "g": 7}, "premises": {"g": 7}, "target": "h"}, "answer": {"steps": [["d", "w + 7", "w + 18"], ["w", "n + 2", "n + 20"], ["n", "b + 20", "b + 40"], ["b", "a + 5", "a + 45"], ["a", "g + 6", "g + 51"], ["g", 7, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"g": 7}, "is_reverse": true}}
| 22
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 14; n = b + 20; g = 7; s = z + 11; b = a + 5; y = s + 14; i = u + 18; w = n + 2; u = e + 12; a = g + 6; e = y + 9; d = w + 7; h = d + 11. Given that g = 7, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 7 to h, which gives h = w + 18.\n2. Substitute w = n + 2 to h, which gives h = n + 20.\n3. Substitute n = b + 20 to h, which gives h = b + 40.\n4. Substitute b = a + 5 to h, which gives h = a + 45.\n5. Substitute a = g + 6 to h, which gives h = g + 51.\n6. Substitute g = 7 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 22,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 14; n = b + 20; g = 7; s = z + 11; b = a + 5; y = s + 14; i = u + 18; w = n + 2; u = e + 12; a = g + 6; e = y + 9; d = w + 7; h = d + 11. Given that g = 7, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 8", "e": "u + 19", "d": "e + 2", "w": "d + 3", "g": "w + 9", "v": "g + 18", "r": "y + 13", "b": "r + 6", "l": "b + 1", "m": "l + 7", "a": "m + 18", "i": "a + 2", "y": 20}, "premises": {"y": 20}, "target": "v"}, "answer": {"steps": [["g", "w + 9", "w + 27"], ["w", "d + 3", "d + 30"], ["d", "e + 2", "e + 32"], ["e", "u + 19", "u + 51"], ["u", "y + 8", "y + 59"], ["y", 20, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"y": 20}, "is_reverse": true}}
| 23
| 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 = e + 2; y = 20; a = m + 18; v = g + 18; b = r + 6; e = u + 19; u = y + 8; r = y + 13; l = b + 1; m = l + 7; g = w + 9; i = a + 2; w = d + 3. If y = 20, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 9 to v, which gives v = w + 27.\n2. Substitute w = d + 3 to v, which gives v = d + 30.\n3. Substitute d = e + 2 to v, which gives v = e + 32.\n4. Substitute e = u + 19 to v, which gives v = u + 51.\n5. Substitute u = y + 8 to v, which gives v = y + 59.\n6. Substitute y = 20 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 23,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 2; y = 20; a = m + 18; v = g + 18; b = r + 6; e = u + 19; u = y + 8; r = y + 13; l = b + 1; m = l + 7; g = w + 9; i = a + 2; w = d + 3. If y = 20, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"k": "j + 18", "p": "k + 10", "t": "p + 11", "b": "t + 12", "c": "b + 6", "q": "c + 12", "i": "j + 10", "m": "i + 5", "e": "m + 3", "z": "e + 15", "x": "z + 17", "r": "x + 15", "j": 5}, "premises": {"j": 5}, "target": "q"}, "answer": {"steps": [["c", "b + 6", "b + 18"], ["b", "t + 12", "t + 30"], ["t", "p + 11", "p + 41"], ["p", "k + 10", "k + 51"], ["k", "j + 18", "j + 69"], ["j", 5, "74"]], "target_var_name": "q", "target_value": 74, "value_dict": {"j": 5}, "is_reverse": true}}
| 24
| 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 + 12; e = m + 3; x = z + 17; k = j + 18; q = c + 12; j = 5; r = x + 15; t = p + 11; z = e + 15; p = k + 10; m = i + 5; c = b + 6; i = j + 10. If j = 5, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 6 to q, which gives q = b + 18.\n2. Substitute b = t + 12 to q, which gives q = t + 30.\n3. Substitute t = p + 11 to q, which gives q = p + 41.\n4. Substitute p = k + 10 to q, which gives q = k + 51.\n5. Substitute k = j + 18 to q, which gives q = j + 69.\n6. Substitute j = 5 to q, which gives q = 74.\n\nThus, the final answer is q = \\boxed{74}.",
"index": 24,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = t + 12; e = m + 3; x = z + 17; k = j + 18; q = c + 12; j = 5; r = x + 15; t = p + 11; z = e + 15; p = k + 10; m = i + 5; c = b + 6; i = j + 10. If j = 5, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 10", "j": "e + 12", "w": "j + 15", "q": "w + 17", "a": "q + 13", "v": "a + 16", "k": "n + 2", "i": "k + 8", "u": "i + 20", "t": "u + 2", "x": "t + 14", "b": "x + 18", "n": 5}, "premises": {"n": 5}, "target": "v"}, "answer": {"steps": [["a", "q + 13", "q + 29"], ["q", "w + 17", "w + 46"], ["w", "j + 15", "j + 61"], ["j", "e + 12", "e + 73"], ["e", "n + 10", "n + 83"], ["n", 5, "88"]], "target_var_name": "v", "target_value": 88, "value_dict": {"n": 5}, "is_reverse": true}}
| 25
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 12; u = i + 20; x = t + 14; v = a + 16; n = 5; i = k + 8; a = q + 13; w = j + 15; q = w + 17; b = x + 18; t = u + 2; e = n + 10; k = n + 2. If n = 5, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 13 to v, which gives v = q + 29.\n2. Substitute q = w + 17 to v, which gives v = w + 46.\n3. Substitute w = j + 15 to v, which gives v = j + 61.\n4. Substitute j = e + 12 to v, which gives v = e + 73.\n5. Substitute e = n + 10 to v, which gives v = n + 83.\n6. Substitute n = 5 to v, which gives v = 88.\n\nThus, the final answer is v = \\boxed{88}.",
"index": 25,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = e + 12; u = i + 20; x = t + 14; v = a + 16; n = 5; i = k + 8; a = q + 13; w = j + 15; q = w + 17; b = x + 18; t = u + 2; e = n + 10; k = n + 2. If n = 5, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"d": "b + 18", "y": "d + 9", "r": "y + 3", "x": "r + 11", "m": "x + 20", "j": "m + 5", "o": "b + 1", "z": "o + 13", "e": "z + 11", "t": "e + 9", "q": "t + 18", "c": "q + 6", "b": 17}, "premises": {"b": 17}, "target": "j"}, "answer": {"steps": [["m", "x + 20", "x + 25"], ["x", "r + 11", "r + 36"], ["r", "y + 3", "y + 39"], ["y", "d + 9", "d + 48"], ["d", "b + 18", "b + 66"], ["b", 17, "83"]], "target_var_name": "j", "target_value": 83, "value_dict": {"b": 17}, "is_reverse": true}}
| 26
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = x + 20; d = b + 18; b = 17; e = z + 11; z = o + 13; o = b + 1; c = q + 6; y = d + 9; q = t + 18; t = e + 9; j = m + 5; x = r + 11; r = y + 3. Given that b = 17, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 20 to j, which gives j = x + 25.\n2. Substitute x = r + 11 to j, which gives j = r + 36.\n3. Substitute r = y + 3 to j, which gives j = y + 39.\n4. Substitute y = d + 9 to j, which gives j = d + 48.\n5. Substitute d = b + 18 to j, which gives j = b + 66.\n6. Substitute b = 17 to j, which gives j = 83.\n\nThus, the final answer is j = \\boxed{83}.",
"index": 26,
"question": "Suppose a collection of variables is related by the following definitions: m = x + 20; d = b + 18; b = 17; e = z + 11; z = o + 13; o = b + 1; c = q + 6; y = d + 9; q = t + 18; t = e + 9; j = m + 5; x = r + 11; r = y + 3. Given that b = 17, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 19", "f": "t + 14", "n": "f + 5", "w": "n + 6", "h": "w + 16", "x": "h + 18", "p": "g + 6", "m": "p + 12", "y": "m + 20", "i": "y + 7", "o": "i + 16", "c": "o + 13", "g": 17}, "premises": {"g": 17}, "target": "x"}, "answer": {"steps": [["h", "w + 16", "w + 34"], ["w", "n + 6", "n + 40"], ["n", "f + 5", "f + 45"], ["f", "t + 14", "t + 59"], ["t", "g + 19", "g + 78"], ["g", 17, "95"]], "target_var_name": "x", "target_value": 95, "value_dict": {"g": 17}, "is_reverse": true}}
| 27
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 20; h = w + 16; m = p + 12; x = h + 18; t = g + 19; o = i + 16; p = g + 6; c = o + 13; i = y + 7; w = n + 6; g = 17; n = f + 5; f = t + 14. If g = 17, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 16 to x, which gives x = w + 34.\n2. Substitute w = n + 6 to x, which gives x = n + 40.\n3. Substitute n = f + 5 to x, which gives x = f + 45.\n4. Substitute f = t + 14 to x, which gives x = t + 59.\n5. Substitute t = g + 19 to x, which gives x = g + 78.\n6. Substitute g = 17 to x, which gives x = 95.\n\nThus, the final answer is x = \\boxed{95}.",
"index": 27,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = m + 20; h = w + 16; m = p + 12; x = h + 18; t = g + 19; o = i + 16; p = g + 6; c = o + 13; i = y + 7; w = n + 6; g = 17; n = f + 5; f = t + 14. If g = 17, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"r": "p + 17", "b": "r + 14", "h": "b + 7", "x": "h + 17", "s": "x + 13", "o": "s + 8", "w": "p + 5", "n": "w + 11", "i": "n + 10", "m": "i + 11", "l": "m + 4", "y": "l + 11", "p": 18}, "premises": {"p": 18}, "target": "o"}, "answer": {"steps": [["s", "x + 13", "x + 21"], ["x", "h + 17", "h + 38"], ["h", "b + 7", "b + 45"], ["b", "r + 14", "r + 59"], ["r", "p + 17", "p + 76"], ["p", 18, "94"]], "target_var_name": "o", "target_value": 94, "value_dict": {"p": 18}, "is_reverse": true}}
| 28
| 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 = p + 17; s = x + 13; y = l + 11; i = n + 10; o = s + 8; m = i + 11; n = w + 11; w = p + 5; h = b + 7; l = m + 4; p = 18; b = r + 14; x = h + 17. If p = 18, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 13 to o, which gives o = x + 21.\n2. Substitute x = h + 17 to o, which gives o = h + 38.\n3. Substitute h = b + 7 to o, which gives o = b + 45.\n4. Substitute b = r + 14 to o, which gives o = r + 59.\n5. Substitute r = p + 17 to o, which gives o = p + 76.\n6. Substitute p = 18 to o, which gives o = 94.\n\nThus, the final answer is o = \\boxed{94}.",
"index": 28,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = p + 17; s = x + 13; y = l + 11; i = n + 10; o = s + 8; m = i + 11; n = w + 11; w = p + 5; h = b + 7; l = m + 4; p = 18; b = r + 14; x = h + 17. If p = 18, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 19", "x": "b + 2", "v": "x + 13", "y": "v + 17", "j": "y + 17", "l": "j + 14", "a": "c + 4", "f": "a + 17", "z": "f + 1", "n": "z + 5", "m": "n + 20", "q": "m + 6", "c": 20}, "premises": {"c": 20}, "target": "l"}, "answer": {"steps": [["j", "y + 17", "y + 31"], ["y", "v + 17", "v + 48"], ["v", "x + 13", "x + 61"], ["x", "b + 2", "b + 63"], ["b", "c + 19", "c + 82"], ["c", 20, "102"]], "target_var_name": "l", "target_value": 102, "value_dict": {"c": 20}, "is_reverse": true}}
| 29
| 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 = m + 6; b = c + 19; v = x + 13; a = c + 4; j = y + 17; z = f + 1; l = j + 14; c = 20; f = a + 17; y = v + 17; x = b + 2; m = n + 20; n = z + 5. If c = 20, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 17 to l, which gives l = y + 31.\n2. Substitute y = v + 17 to l, which gives l = v + 48.\n3. Substitute v = x + 13 to l, which gives l = x + 61.\n4. Substitute x = b + 2 to l, which gives l = b + 63.\n5. Substitute b = c + 19 to l, which gives l = c + 82.\n6. Substitute c = 20 to l, which gives l = 102.\n\nThus, the final answer is l = \\boxed{102}.",
"index": 29,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = m + 6; b = c + 19; v = x + 13; a = c + 4; j = y + 17; z = f + 1; l = j + 14; c = 20; f = a + 17; y = v + 17; x = b + 2; m = n + 20; n = z + 5. If c = 20, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"d": "r + 18", "p": "d + 18", "w": "p + 5", "v": "w + 15", "z": "v + 20", "s": "z + 10", "b": "r + 11", "k": "b + 20", "o": "k + 17", "j": "o + 5", "x": "j + 12", "n": "x + 15", "r": 15}, "premises": {"r": 15}, "target": "s"}, "answer": {"steps": [["z", "v + 20", "v + 30"], ["v", "w + 15", "w + 45"], ["w", "p + 5", "p + 50"], ["p", "d + 18", "d + 68"], ["d", "r + 18", "r + 86"], ["r", 15, "101"]], "target_var_name": "s", "target_value": 101, "value_dict": {"r": 15}, "is_reverse": true}}
| 30
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 5; b = r + 11; s = z + 10; o = k + 17; v = w + 15; x = j + 12; k = b + 20; z = v + 20; n = x + 15; p = d + 18; r = 15; d = r + 18; j = o + 5. If r = 15, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 20 to s, which gives s = v + 30.\n2. Substitute v = w + 15 to s, which gives s = w + 45.\n3. Substitute w = p + 5 to s, which gives s = p + 50.\n4. Substitute p = d + 18 to s, which gives s = d + 68.\n5. Substitute d = r + 18 to s, which gives s = r + 86.\n6. Substitute r = 15 to s, which gives s = 101.\n\nThus, the final answer is s = \\boxed{101}.",
"index": 30,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 5; b = r + 11; s = z + 10; o = k + 17; v = w + 15; x = j + 12; k = b + 20; z = v + 20; n = x + 15; p = d + 18; r = 15; d = r + 18; j = o + 5. If r = 15, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 20", "t": "y + 10", "v": "t + 3", "r": "v + 4", "z": "r + 20", "a": "z + 13", "s": "h + 18", "k": "s + 12", "g": "k + 12", "f": "g + 1", "c": "f + 4", "o": "c + 15", "h": 12}, "premises": {"h": 12}, "target": "a"}, "answer": {"steps": [["z", "r + 20", "r + 33"], ["r", "v + 4", "v + 37"], ["v", "t + 3", "t + 40"], ["t", "y + 10", "y + 50"], ["y", "h + 20", "h + 70"], ["h", 12, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"h": 12}, "is_reverse": true}}
| 31
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = h + 18; v = t + 3; z = r + 20; r = v + 4; c = f + 4; o = c + 15; f = g + 1; t = y + 10; k = s + 12; y = h + 20; h = 12; a = z + 13; g = k + 12. Given that h = 12, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 20 to a, which gives a = r + 33.\n2. Substitute r = v + 4 to a, which gives a = v + 37.\n3. Substitute v = t + 3 to a, which gives a = t + 40.\n4. Substitute t = y + 10 to a, which gives a = y + 50.\n5. Substitute y = h + 20 to a, which gives a = h + 70.\n6. Substitute h = 12 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 31,
"question": "Suppose a collection of variables is related by the following definitions: s = h + 18; v = t + 3; z = r + 20; r = v + 4; c = f + 4; o = c + 15; f = g + 1; t = y + 10; k = s + 12; y = h + 20; h = 12; a = z + 13; g = k + 12. Given that h = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 14", "b": "p + 19", "j": "b + 12", "c": "j + 9", "f": "c + 13", "w": "f + 4", "r": "d + 15", "v": "r + 17", "g": "v + 7", "h": "g + 12", "u": "h + 15", "a": "u + 15", "d": 11}, "premises": {"d": 11}, "target": "w"}, "answer": {"steps": [["f", "c + 13", "c + 17"], ["c", "j + 9", "j + 26"], ["j", "b + 12", "b + 38"], ["b", "p + 19", "p + 57"], ["p", "d + 14", "d + 71"], ["d", 11, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"d": 11}, "is_reverse": true}}
| 32
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = j + 9; r = d + 15; f = c + 13; g = v + 7; v = r + 17; u = h + 15; d = 11; w = f + 4; p = d + 14; b = p + 19; a = u + 15; h = g + 12; j = b + 12. If d = 11, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 13 to w, which gives w = c + 17.\n2. Substitute c = j + 9 to w, which gives w = j + 26.\n3. Substitute j = b + 12 to w, which gives w = b + 38.\n4. Substitute b = p + 19 to w, which gives w = p + 57.\n5. Substitute p = d + 14 to w, which gives w = d + 71.\n6. Substitute d = 11 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 32,
"question": "Consider a system of variables where each variable is defined as follows: c = j + 9; r = d + 15; f = c + 13; g = v + 7; v = r + 17; u = h + 15; d = 11; w = f + 4; p = d + 14; b = p + 19; a = u + 15; h = g + 12; j = b + 12. If d = 11, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"m": "c + 6", "z": "m + 14", "x": "z + 7", "v": "x + 3", "b": "v + 11", "u": "b + 19", "a": "c + 2", "k": "a + 2", "j": "k + 16", "l": "j + 1", "p": "l + 9", "e": "p + 11", "c": 13}, "premises": {"c": 13}, "target": "u"}, "answer": {"steps": [["b", "v + 11", "v + 30"], ["v", "x + 3", "x + 33"], ["x", "z + 7", "z + 40"], ["z", "m + 14", "m + 54"], ["m", "c + 6", "c + 60"], ["c", 13, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"c": 13}, "is_reverse": true}}
| 33
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 16; v = x + 3; k = a + 2; c = 13; x = z + 7; p = l + 9; m = c + 6; z = m + 14; l = j + 1; e = p + 11; a = c + 2; b = v + 11; u = b + 19. If c = 13, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 11 to u, which gives u = v + 30.\n2. Substitute v = x + 3 to u, which gives u = x + 33.\n3. Substitute x = z + 7 to u, which gives u = z + 40.\n4. Substitute z = m + 14 to u, which gives u = m + 54.\n5. Substitute m = c + 6 to u, which gives u = c + 60.\n6. Substitute c = 13 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 33,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 16; v = x + 3; k = a + 2; c = 13; x = z + 7; p = l + 9; m = c + 6; z = m + 14; l = j + 1; e = p + 11; a = c + 2; b = v + 11; u = b + 19. If c = 13, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "s + 17", "d": "h + 20", "w": "d + 17", "g": "w + 10", "y": "g + 11", "k": "y + 19", "m": "s + 19", "i": "m + 5", "b": "i + 8", "z": "b + 15", "r": "z + 13", "a": "r + 17", "s": 5}, "premises": {"s": 5}, "target": "k"}, "answer": {"steps": [["y", "g + 11", "g + 30"], ["g", "w + 10", "w + 40"], ["w", "d + 17", "d + 57"], ["d", "h + 20", "h + 77"], ["h", "s + 17", "s + 94"], ["s", 5, "99"]], "target_var_name": "k", "target_value": 99, "value_dict": {"s": 5}, "is_reverse": true}}
| 34
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: r = z + 13; z = b + 15; w = d + 17; y = g + 11; g = w + 10; k = y + 19; s = 5; d = h + 20; a = r + 17; b = i + 8; m = s + 19; h = s + 17; i = m + 5. Given that s = 5, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 11 to k, which gives k = g + 30.\n2. Substitute g = w + 10 to k, which gives k = w + 40.\n3. Substitute w = d + 17 to k, which gives k = d + 57.\n4. Substitute d = h + 20 to k, which gives k = h + 77.\n5. Substitute h = s + 17 to k, which gives k = s + 94.\n6. Substitute s = 5 to k, which gives k = 99.\n\nThus, the final answer is k = \\boxed{99}.",
"index": 34,
"question": "Suppose a collection of variables is related by the following definitions: r = z + 13; z = b + 15; w = d + 17; y = g + 11; g = w + 10; k = y + 19; s = 5; d = h + 20; a = r + 17; b = i + 8; m = s + 19; h = s + 17; i = m + 5. Given that s = 5, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"f": "n + 1", "j": "f + 17", "v": "j + 17", "d": "v + 1", "y": "d + 2", "t": "y + 17", "l": "n + 19", "h": "l + 14", "i": "h + 14", "s": "i + 12", "a": "s + 13", "e": "a + 17", "n": 12}, "premises": {"n": 12}, "target": "t"}, "answer": {"steps": [["y", "d + 2", "d + 19"], ["d", "v + 1", "v + 20"], ["v", "j + 17", "j + 37"], ["j", "f + 17", "f + 54"], ["f", "n + 1", "n + 55"], ["n", 12, "67"]], "target_var_name": "t", "target_value": 67, "value_dict": {"n": 12}, "is_reverse": true}}
| 35
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 17; t = y + 17; l = n + 19; f = n + 1; n = 12; y = d + 2; d = v + 1; s = i + 12; a = s + 13; j = f + 17; h = l + 14; i = h + 14; e = a + 17. If n = 12, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 2 to t, which gives t = d + 19.\n2. Substitute d = v + 1 to t, which gives t = v + 20.\n3. Substitute v = j + 17 to t, which gives t = j + 37.\n4. Substitute j = f + 17 to t, which gives t = f + 54.\n5. Substitute f = n + 1 to t, which gives t = n + 55.\n6. Substitute n = 12 to t, which gives t = 67.\n\nThus, the final answer is t = \\boxed{67}.",
"index": 35,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 17; t = y + 17; l = n + 19; f = n + 1; n = 12; y = d + 2; d = v + 1; s = i + 12; a = s + 13; j = f + 17; h = l + 14; i = h + 14; e = a + 17. If n = 12, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "w + 8", "s": "z + 20", "g": "s + 3", "q": "g + 9", "m": "q + 9", "f": "m + 9", "n": "w + 14", "u": "n + 14", "j": "u + 13", "p": "j + 19", "l": "p + 2", "e": "l + 6", "w": 6}, "premises": {"w": 6}, "target": "f"}, "answer": {"steps": [["m", "q + 9", "q + 18"], ["q", "g + 9", "g + 27"], ["g", "s + 3", "s + 30"], ["s", "z + 20", "z + 50"], ["z", "w + 8", "w + 58"], ["w", 6, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"w": 6}, "is_reverse": true}}
| 36
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = w + 14; g = s + 3; u = n + 14; z = w + 8; m = q + 9; j = u + 13; w = 6; e = l + 6; f = m + 9; l = p + 2; s = z + 20; p = j + 19; q = g + 9. Given that w = 6, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 9 to f, which gives f = q + 18.\n2. Substitute q = g + 9 to f, which gives f = g + 27.\n3. Substitute g = s + 3 to f, which gives f = s + 30.\n4. Substitute s = z + 20 to f, which gives f = z + 50.\n5. Substitute z = w + 8 to f, which gives f = w + 58.\n6. Substitute w = 6 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 36,
"question": "Suppose a collection of variables is related by the following definitions: n = w + 14; g = s + 3; u = n + 14; z = w + 8; m = q + 9; j = u + 13; w = 6; e = l + 6; f = m + 9; l = p + 2; s = z + 20; p = j + 19; q = g + 9. Given that w = 6, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"g": "v + 6", "p": "g + 4", "x": "p + 1", "o": "x + 13", "i": "o + 4", "n": "i + 1", "a": "v + 9", "u": "a + 7", "s": "u + 5", "c": "s + 10", "m": "c + 2", "w": "m + 1", "v": 1}, "premises": {"v": 1}, "target": "n"}, "answer": {"steps": [["i", "o + 4", "o + 5"], ["o", "x + 13", "x + 18"], ["x", "p + 1", "p + 19"], ["p", "g + 4", "g + 23"], ["g", "v + 6", "v + 29"], ["v", 1, "30"]], "target_var_name": "n", "target_value": 30, "value_dict": {"v": 1}, "is_reverse": true}}
| 37
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 6; p = g + 4; v = 1; c = s + 10; s = u + 5; n = i + 1; x = p + 1; w = m + 1; u = a + 7; a = v + 9; i = o + 4; m = c + 2; o = x + 13. If v = 1, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 30,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 4 to n, which gives n = o + 5.\n2. Substitute o = x + 13 to n, which gives n = x + 18.\n3. Substitute x = p + 1 to n, which gives n = p + 19.\n4. Substitute p = g + 4 to n, which gives n = g + 23.\n5. Substitute g = v + 6 to n, which gives n = v + 29.\n6. Substitute v = 1 to n, which gives n = 30.\n\nThus, the final answer is n = \\boxed{30}.",
"index": 37,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 6; p = g + 4; v = 1; c = s + 10; s = u + 5; n = i + 1; x = p + 1; w = m + 1; u = a + 7; a = v + 9; i = o + 4; m = c + 2; o = x + 13. If v = 1, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 5", "f": "k + 4", "z": "f + 13", "c": "z + 6", "e": "c + 9", "u": "e + 11", "q": "g + 7", "l": "q + 20", "o": "l + 4", "j": "o + 19", "d": "j + 11", "w": "d + 3", "g": 3}, "premises": {"g": 3}, "target": "u"}, "answer": {"steps": [["e", "c + 9", "c + 20"], ["c", "z + 6", "z + 26"], ["z", "f + 13", "f + 39"], ["f", "k + 4", "k + 43"], ["k", "g + 5", "g + 48"], ["g", 3, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"g": 3}, "is_reverse": true}}
| 38
| 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 = g + 7; l = q + 20; k = g + 5; z = f + 13; c = z + 6; o = l + 4; w = d + 3; f = k + 4; d = j + 11; e = c + 9; j = o + 19; g = 3; u = e + 11. If g = 3, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 9 to u, which gives u = c + 20.\n2. Substitute c = z + 6 to u, which gives u = z + 26.\n3. Substitute z = f + 13 to u, which gives u = f + 39.\n4. Substitute f = k + 4 to u, which gives u = k + 43.\n5. Substitute k = g + 5 to u, which gives u = g + 48.\n6. Substitute g = 3 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 38,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 7; l = q + 20; k = g + 5; z = f + 13; c = z + 6; o = l + 4; w = d + 3; f = k + 4; d = j + 11; e = c + 9; j = o + 19; g = 3; u = e + 11. If g = 3, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"c": "z + 7", "i": "c + 9", "t": "i + 2", "b": "t + 18", "y": "b + 8", "f": "y + 17", "j": "z + 6", "q": "j + 17", "s": "q + 12", "e": "s + 4", "o": "e + 18", "x": "o + 6", "z": 19}, "premises": {"z": 19}, "target": "f"}, "answer": {"steps": [["y", "b + 8", "b + 25"], ["b", "t + 18", "t + 43"], ["t", "i + 2", "i + 45"], ["i", "c + 9", "c + 54"], ["c", "z + 7", "z + 61"], ["z", 19, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"z": 19}, "is_reverse": true}}
| 39
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 4; b = t + 18; x = o + 6; c = z + 7; i = c + 9; s = q + 12; q = j + 17; j = z + 6; t = i + 2; f = y + 17; z = 19; o = e + 18; y = b + 8. Given that z = 19, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 8 to f, which gives f = b + 25.\n2. Substitute b = t + 18 to f, which gives f = t + 43.\n3. Substitute t = i + 2 to f, which gives f = i + 45.\n4. Substitute i = c + 9 to f, which gives f = c + 54.\n5. Substitute c = z + 7 to f, which gives f = z + 61.\n6. Substitute z = 19 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 39,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 4; b = t + 18; x = o + 6; c = z + 7; i = c + 9; s = q + 12; q = j + 17; j = z + 6; t = i + 2; f = y + 17; z = 19; o = e + 18; y = b + 8. Given that z = 19, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "i + 7", "h": "l + 3", "d": "h + 1", "n": "d + 5", "c": "n + 20", "o": "c + 4", "w": "i + 12", "x": "w + 8", "u": "x + 13", "s": "u + 11", "g": "s + 5", "m": "g + 12", "i": 13}, "premises": {"i": 13}, "target": "o"}, "answer": {"steps": [["c", "n + 20", "n + 24"], ["n", "d + 5", "d + 29"], ["d", "h + 1", "h + 30"], ["h", "l + 3", "l + 33"], ["l", "i + 7", "i + 40"], ["i", 13, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"i": 13}, "is_reverse": true}}
| 40
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = d + 5; s = u + 11; h = l + 3; l = i + 7; i = 13; x = w + 8; c = n + 20; g = s + 5; d = h + 1; u = x + 13; w = i + 12; o = c + 4; m = g + 12. If i = 13, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 20 to o, which gives o = n + 24.\n2. Substitute n = d + 5 to o, which gives o = d + 29.\n3. Substitute d = h + 1 to o, which gives o = h + 30.\n4. Substitute h = l + 3 to o, which gives o = l + 33.\n5. Substitute l = i + 7 to o, which gives o = i + 40.\n6. Substitute i = 13 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 40,
"question": "Consider a system of variables where each variable is defined as follows: n = d + 5; s = u + 11; h = l + 3; l = i + 7; i = 13; x = w + 8; c = n + 20; g = s + 5; d = h + 1; u = x + 13; w = i + 12; o = c + 4; m = g + 12. If i = 13, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 18", "s": "z + 1", "h": "s + 12", "a": "h + 8", "q": "a + 10", "d": "q + 3", "v": "y + 20", "c": "v + 13", "b": "c + 4", "g": "b + 15", "e": "g + 14", "r": "e + 4", "y": 17}, "premises": {"y": 17}, "target": "d"}, "answer": {"steps": [["q", "a + 10", "a + 13"], ["a", "h + 8", "h + 21"], ["h", "s + 12", "s + 33"], ["s", "z + 1", "z + 34"], ["z", "y + 18", "y + 52"], ["y", 17, "69"]], "target_var_name": "d", "target_value": 69, "value_dict": {"y": 17}, "is_reverse": true}}
| 41
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = q + 3; g = b + 15; c = v + 13; e = g + 14; z = y + 18; b = c + 4; s = z + 1; r = e + 4; y = 17; h = s + 12; a = h + 8; q = a + 10; v = y + 20. Given that y = 17, find the 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. Substitute q = a + 10 to d, which gives d = a + 13.\n2. Substitute a = h + 8 to d, which gives d = h + 21.\n3. Substitute h = s + 12 to d, which gives d = s + 33.\n4. Substitute s = z + 1 to d, which gives d = z + 34.\n5. Substitute z = y + 18 to d, which gives d = y + 52.\n6. Substitute y = 17 to d, which gives d = 69.\n\nThus, the final answer is d = \\boxed{69}.",
"index": 41,
"question": "Suppose a collection of variables is related by the following definitions: d = q + 3; g = b + 15; c = v + 13; e = g + 14; z = y + 18; b = c + 4; s = z + 1; r = e + 4; y = 17; h = s + 12; a = h + 8; q = a + 10; v = y + 20. Given that y = 17, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"h": "a + 5", "y": "h + 15", "r": "y + 12", "b": "r + 15", "m": "b + 19", "z": "m + 8", "k": "a + 5", "u": "k + 20", "p": "u + 7", "f": "p + 4", "d": "f + 17", "v": "d + 10", "a": 14}, "premises": {"a": 14}, "target": "z"}, "answer": {"steps": [["m", "b + 19", "b + 27"], ["b", "r + 15", "r + 42"], ["r", "y + 12", "y + 54"], ["y", "h + 15", "h + 69"], ["h", "a + 5", "a + 74"], ["a", 14, "88"]], "target_var_name": "z", "target_value": 88, "value_dict": {"a": 14}, "is_reverse": true}}
| 42
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = h + 15; k = a + 5; h = a + 5; v = d + 10; p = u + 7; a = 14; r = y + 12; b = r + 15; u = k + 20; m = b + 19; z = m + 8; f = p + 4; d = f + 17. If a = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 19 to z, which gives z = b + 27.\n2. Substitute b = r + 15 to z, which gives z = r + 42.\n3. Substitute r = y + 12 to z, which gives z = y + 54.\n4. Substitute y = h + 15 to z, which gives z = h + 69.\n5. Substitute h = a + 5 to z, which gives z = a + 74.\n6. Substitute a = 14 to z, which gives z = 88.\n\nThus, the final answer is z = \\boxed{88}.",
"index": 42,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 15; k = a + 5; h = a + 5; v = d + 10; p = u + 7; a = 14; r = y + 12; b = r + 15; u = k + 20; m = b + 19; z = m + 8; f = p + 4; d = f + 17. If a = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"c": "f + 14", "p": "c + 1", "a": "p + 9", "s": "a + 13", "z": "s + 14", "j": "z + 11", "b": "f + 19", "r": "b + 12", "d": "r + 9", "o": "d + 18", "h": "o + 1", "g": "h + 18", "f": 7}, "premises": {"f": 7}, "target": "j"}, "answer": {"steps": [["z", "s + 14", "s + 25"], ["s", "a + 13", "a + 38"], ["a", "p + 9", "p + 47"], ["p", "c + 1", "c + 48"], ["c", "f + 14", "f + 62"], ["f", 7, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"f": 7}, "is_reverse": true}}
| 43
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 19; s = a + 13; f = 7; r = b + 12; p = c + 1; h = o + 1; d = r + 9; c = f + 14; g = h + 18; o = d + 18; j = z + 11; z = s + 14; a = p + 9. If f = 7, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = s + 14 to j, which gives j = s + 25.\n2. Substitute s = a + 13 to j, which gives j = a + 38.\n3. Substitute a = p + 9 to j, which gives j = p + 47.\n4. Substitute p = c + 1 to j, which gives j = c + 48.\n5. Substitute c = f + 14 to j, which gives j = f + 62.\n6. Substitute f = 7 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 43,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 19; s = a + 13; f = 7; r = b + 12; p = c + 1; h = o + 1; d = r + 9; c = f + 14; g = h + 18; o = d + 18; j = z + 11; z = s + 14; a = p + 9. If f = 7, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 3", "l": "b + 19", "m": "l + 9", "z": "m + 11", "n": "z + 5", "k": "n + 2", "p": "g + 12", "q": "p + 2", "v": "q + 16", "f": "v + 3", "h": "f + 12", "j": "h + 3", "g": 13}, "premises": {"g": 13}, "target": "k"}, "answer": {"steps": [["n", "z + 5", "z + 7"], ["z", "m + 11", "m + 18"], ["m", "l + 9", "l + 27"], ["l", "b + 19", "b + 46"], ["b", "g + 3", "g + 49"], ["g", 13, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"g": 13}, "is_reverse": true}}
| 44
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 13; j = h + 3; f = v + 3; l = b + 19; v = q + 16; p = g + 12; q = p + 2; z = m + 11; b = g + 3; h = f + 12; m = l + 9; n = z + 5; k = n + 2. Given that g = 13, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 5 to k, which gives k = z + 7.\n2. Substitute z = m + 11 to k, which gives k = m + 18.\n3. Substitute m = l + 9 to k, which gives k = l + 27.\n4. Substitute l = b + 19 to k, which gives k = b + 46.\n5. Substitute b = g + 3 to k, which gives k = g + 49.\n6. Substitute g = 13 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 44,
"question": "Suppose a collection of variables is related by the following definitions: g = 13; j = h + 3; f = v + 3; l = b + 19; v = q + 16; p = g + 12; q = p + 2; z = m + 11; b = g + 3; h = f + 12; m = l + 9; n = z + 5; k = n + 2. Given that g = 13, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"w": "p + 18", "q": "w + 8", "e": "q + 4", "t": "e + 5", "s": "t + 17", "j": "s + 15", "x": "p + 1", "a": "x + 20", "c": "a + 6", "z": "c + 19", "m": "z + 7", "y": "m + 18", "p": 18}, "premises": {"p": 18}, "target": "j"}, "answer": {"steps": [["s", "t + 17", "t + 32"], ["t", "e + 5", "e + 37"], ["e", "q + 4", "q + 41"], ["q", "w + 8", "w + 49"], ["w", "p + 18", "p + 67"], ["p", 18, "85"]], "target_var_name": "j", "target_value": 85, "value_dict": {"p": 18}, "is_reverse": true}}
| 45
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 8; y = m + 18; x = p + 1; c = a + 6; m = z + 7; z = c + 19; t = e + 5; e = q + 4; j = s + 15; s = t + 17; w = p + 18; p = 18; a = x + 20. Given that p = 18, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 17 to j, which gives j = t + 32.\n2. Substitute t = e + 5 to j, which gives j = e + 37.\n3. Substitute e = q + 4 to j, which gives j = q + 41.\n4. Substitute q = w + 8 to j, which gives j = w + 49.\n5. Substitute w = p + 18 to j, which gives j = p + 67.\n6. Substitute p = 18 to j, which gives j = 85.\n\nThus, the final answer is j = \\boxed{85}.",
"index": 45,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 8; y = m + 18; x = p + 1; c = a + 6; m = z + 7; z = c + 19; t = e + 5; e = q + 4; j = s + 15; s = t + 17; w = p + 18; p = 18; a = x + 20. Given that p = 18, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 4", "q": "n + 2", "r": "q + 2", "k": "r + 7", "v": "k + 9", "u": "v + 12", "d": "j + 1", "f": "d + 3", "t": "f + 18", "o": "t + 18", "b": "o + 20", "p": "b + 7", "j": 2}, "premises": {"j": 2}, "target": "u"}, "answer": {"steps": [["v", "k + 9", "k + 21"], ["k", "r + 7", "r + 28"], ["r", "q + 2", "q + 30"], ["q", "n + 2", "n + 32"], ["n", "j + 4", "j + 36"], ["j", 2, "38"]], "target_var_name": "u", "target_value": 38, "value_dict": {"j": 2}, "is_reverse": true}}
| 46
| 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 + 7; r = q + 2; n = j + 4; b = o + 20; j = 2; d = j + 1; q = n + 2; t = f + 18; o = t + 18; u = v + 12; f = d + 3; p = b + 7; v = k + 9. If j = 2, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 38,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 9 to u, which gives u = k + 21.\n2. Substitute k = r + 7 to u, which gives u = r + 28.\n3. Substitute r = q + 2 to u, which gives u = q + 30.\n4. Substitute q = n + 2 to u, which gives u = n + 32.\n5. Substitute n = j + 4 to u, which gives u = j + 36.\n6. Substitute j = 2 to u, which gives u = 38.\n\nThus, the final answer is u = \\boxed{38}.",
"index": 46,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 7; r = q + 2; n = j + 4; b = o + 20; j = 2; d = j + 1; q = n + 2; t = f + 18; o = t + 18; u = v + 12; f = d + 3; p = b + 7; v = k + 9. If j = 2, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"j": "l + 4", "b": "j + 2", "d": "b + 9", "p": "d + 18", "o": "p + 8", "u": "o + 15", "g": "l + 17", "e": "g + 1", "t": "e + 1", "r": "t + 11", "k": "r + 2", "v": "k + 1", "l": 16}, "premises": {"l": 16}, "target": "u"}, "answer": {"steps": [["o", "p + 8", "p + 23"], ["p", "d + 18", "d + 41"], ["d", "b + 9", "b + 50"], ["b", "j + 2", "j + 52"], ["j", "l + 4", "l + 56"], ["l", 16, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"l": 16}, "is_reverse": true}}
| 47
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 15; l = 16; r = t + 11; e = g + 1; k = r + 2; v = k + 1; t = e + 1; b = j + 2; g = l + 17; p = d + 18; j = l + 4; d = b + 9; o = p + 8. If l = 16, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 8 to u, which gives u = p + 23.\n2. Substitute p = d + 18 to u, which gives u = d + 41.\n3. Substitute d = b + 9 to u, which gives u = b + 50.\n4. Substitute b = j + 2 to u, which gives u = j + 52.\n5. Substitute j = l + 4 to u, which gives u = l + 56.\n6. Substitute l = 16 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 47,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 15; l = 16; r = t + 11; e = g + 1; k = r + 2; v = k + 1; t = e + 1; b = j + 2; g = l + 17; p = d + 18; j = l + 4; d = b + 9; o = p + 8. If l = 16, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 15", "x": "e + 5", "i": "x + 7", "d": "i + 15", "z": "d + 13", "h": "z + 19", "c": "m + 9", "n": "c + 10", "q": "n + 3", "j": "q + 5", "p": "j + 9", "o": "p + 14", "m": 9}, "premises": {"m": 9}, "target": "h"}, "answer": {"steps": [["z", "d + 13", "d + 32"], ["d", "i + 15", "i + 47"], ["i", "x + 7", "x + 54"], ["x", "e + 5", "e + 59"], ["e", "m + 15", "m + 74"], ["m", 9, "83"]], "target_var_name": "h", "target_value": 83, "value_dict": {"m": 9}, "is_reverse": true}}
| 48
| 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 = e + 5; i = x + 7; j = q + 5; q = n + 3; m = 9; e = m + 15; d = i + 15; h = z + 19; c = m + 9; p = j + 9; o = p + 14; z = d + 13; n = c + 10. If m = 9, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 13 to h, which gives h = d + 32.\n2. Substitute d = i + 15 to h, which gives h = i + 47.\n3. Substitute i = x + 7 to h, which gives h = x + 54.\n4. Substitute x = e + 5 to h, which gives h = e + 59.\n5. Substitute e = m + 15 to h, which gives h = m + 74.\n6. Substitute m = 9 to h, which gives h = 83.\n\nThus, the final answer is h = \\boxed{83}.",
"index": 48,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = e + 5; i = x + 7; j = q + 5; q = n + 3; m = 9; e = m + 15; d = i + 15; h = z + 19; c = m + 9; p = j + 9; o = p + 14; z = d + 13; n = c + 10. If m = 9, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 3", "e": "u + 8", "f": "e + 3", "s": "f + 1", "y": "s + 17", "x": "y + 10", "z": "c + 19", "b": "z + 3", "w": "b + 20", "m": "w + 16", "v": "m + 14", "l": "v + 1", "c": 2}, "premises": {"c": 2}, "target": "x"}, "answer": {"steps": [["y", "s + 17", "s + 27"], ["s", "f + 1", "f + 28"], ["f", "e + 3", "e + 31"], ["e", "u + 8", "u + 39"], ["u", "c + 3", "c + 42"], ["c", 2, "44"]], "target_var_name": "x", "target_value": 44, "value_dict": {"c": 2}, "is_reverse": true}}
| 49
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 1; m = w + 16; l = v + 1; e = u + 8; w = b + 20; b = z + 3; y = s + 17; v = m + 14; u = c + 3; x = y + 10; z = c + 19; c = 2; f = e + 3. If c = 2, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 17 to x, which gives x = s + 27.\n2. Substitute s = f + 1 to x, which gives x = f + 28.\n3. Substitute f = e + 3 to x, which gives x = e + 31.\n4. Substitute e = u + 8 to x, which gives x = u + 39.\n5. Substitute u = c + 3 to x, which gives x = c + 42.\n6. Substitute c = 2 to x, which gives x = 44.\n\nThus, the final answer is x = \\boxed{44}.",
"index": 49,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 1; m = w + 16; l = v + 1; e = u + 8; w = b + 20; b = z + 3; y = s + 17; v = m + 14; u = c + 3; x = y + 10; z = c + 19; c = 2; f = e + 3. If c = 2, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"b": "y + 15", "o": "b + 15", "s": "o + 16", "j": "s + 10", "r": "j + 2", "m": "r + 10", "p": "y + 2", "z": "p + 16", "g": "z + 5", "t": "g + 16", "q": "t + 14", "f": "q + 18", "y": 20}, "premises": {"y": 20}, "target": "m"}, "answer": {"steps": [["r", "j + 2", "j + 12"], ["j", "s + 10", "s + 22"], ["s", "o + 16", "o + 38"], ["o", "b + 15", "b + 53"], ["b", "y + 15", "y + 68"], ["y", 20, "88"]], "target_var_name": "m", "target_value": 88, "value_dict": {"y": 20}, "is_reverse": true}}
| 50
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 5; r = j + 2; j = s + 10; z = p + 16; q = t + 14; t = g + 16; f = q + 18; y = 20; p = y + 2; m = r + 10; s = o + 16; b = y + 15; o = b + 15. If y = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = j + 2 to m, which gives m = j + 12.\n2. Substitute j = s + 10 to m, which gives m = s + 22.\n3. Substitute s = o + 16 to m, which gives m = o + 38.\n4. Substitute o = b + 15 to m, which gives m = b + 53.\n5. Substitute b = y + 15 to m, which gives m = y + 68.\n6. Substitute y = 20 to m, which gives m = 88.\n\nThus, the final answer is m = \\boxed{88}.",
"index": 50,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 5; r = j + 2; j = s + 10; z = p + 16; q = t + 14; t = g + 16; f = q + 18; y = 20; p = y + 2; m = r + 10; s = o + 16; b = y + 15; o = b + 15. If y = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"x": "l + 12", "y": "x + 17", "c": "y + 12", "v": "c + 10", "u": "v + 16", "e": "u + 3", "t": "l + 12", "i": "t + 10", "s": "i + 10", "r": "s + 9", "b": "r + 18", "a": "b + 2", "l": 3}, "premises": {"l": 3}, "target": "e"}, "answer": {"steps": [["u", "v + 16", "v + 19"], ["v", "c + 10", "c + 29"], ["c", "y + 12", "y + 41"], ["y", "x + 17", "x + 58"], ["x", "l + 12", "l + 70"], ["l", 3, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"l": 3}, "is_reverse": true}}
| 51
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 3; i = t + 10; v = c + 10; c = y + 12; b = r + 18; a = b + 2; t = l + 12; x = l + 12; r = s + 9; s = i + 10; e = u + 3; u = v + 16; y = x + 17. If l = 3, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = v + 16 to e, which gives e = v + 19.\n2. Substitute v = c + 10 to e, which gives e = c + 29.\n3. Substitute c = y + 12 to e, which gives e = y + 41.\n4. Substitute y = x + 17 to e, which gives e = x + 58.\n5. Substitute x = l + 12 to e, which gives e = l + 70.\n6. Substitute l = 3 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 51,
"question": "Consider a system of variables where each variable is defined as follows: l = 3; i = t + 10; v = c + 10; c = y + 12; b = r + 18; a = b + 2; t = l + 12; x = l + 12; r = s + 9; s = i + 10; e = u + 3; u = v + 16; y = x + 17. If l = 3, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 3", "h": "w + 15", "g": "h + 1", "t": "g + 14", "a": "t + 16", "s": "a + 1", "b": "l + 3", "c": "b + 9", "f": "c + 11", "x": "f + 8", "j": "x + 7", "e": "j + 9", "l": 14}, "premises": {"l": 14}, "target": "s"}, "answer": {"steps": [["a", "t + 16", "t + 17"], ["t", "g + 14", "g + 31"], ["g", "h + 1", "h + 32"], ["h", "w + 15", "w + 47"], ["w", "l + 3", "l + 50"], ["l", 14, "64"]], "target_var_name": "s", "target_value": 64, "value_dict": {"l": 14}, "is_reverse": true}}
| 52
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = l + 3; g = h + 1; c = b + 9; a = t + 16; s = a + 1; w = l + 3; j = x + 7; x = f + 8; e = j + 9; f = c + 11; l = 14; h = w + 15; t = g + 14. Given that l = 14, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 16 to s, which gives s = t + 17.\n2. Substitute t = g + 14 to s, which gives s = g + 31.\n3. Substitute g = h + 1 to s, which gives s = h + 32.\n4. Substitute h = w + 15 to s, which gives s = w + 47.\n5. Substitute w = l + 3 to s, which gives s = l + 50.\n6. Substitute l = 14 to s, which gives s = 64.\n\nThus, the final answer is s = \\boxed{64}.",
"index": 52,
"question": "Suppose a collection of variables is related by the following definitions: b = l + 3; g = h + 1; c = b + 9; a = t + 16; s = a + 1; w = l + 3; j = x + 7; x = f + 8; e = j + 9; f = c + 11; l = 14; h = w + 15; t = g + 14. Given that l = 14, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"y": "w + 10", "h": "y + 20", "l": "h + 18", "g": "l + 7", "x": "g + 18", "r": "x + 9", "o": "w + 12", "i": "o + 15", "f": "i + 19", "d": "f + 12", "u": "d + 7", "m": "u + 14", "w": 7}, "premises": {"w": 7}, "target": "r"}, "answer": {"steps": [["x", "g + 18", "g + 27"], ["g", "l + 7", "l + 34"], ["l", "h + 18", "h + 52"], ["h", "y + 20", "y + 72"], ["y", "w + 10", "w + 82"], ["w", 7, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"w": 7}, "is_reverse": true}}
| 53
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = w + 10; w = 7; o = w + 12; f = i + 19; d = f + 12; h = y + 20; x = g + 18; r = x + 9; l = h + 18; u = d + 7; i = o + 15; g = l + 7; m = u + 14. If w = 7, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 18 to r, which gives r = g + 27.\n2. Substitute g = l + 7 to r, which gives r = l + 34.\n3. Substitute l = h + 18 to r, which gives r = h + 52.\n4. Substitute h = y + 20 to r, which gives r = y + 72.\n5. Substitute y = w + 10 to r, which gives r = w + 82.\n6. Substitute w = 7 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 53,
"question": "Consider a system of variables where each variable is defined as follows: y = w + 10; w = 7; o = w + 12; f = i + 19; d = f + 12; h = y + 20; x = g + 18; r = x + 9; l = h + 18; u = d + 7; i = o + 15; g = l + 7; m = u + 14. If w = 7, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 10", "n": "e + 1", "i": "n + 8", "x": "i + 13", "m": "x + 1", "y": "m + 18", "q": "u + 13", "p": "q + 14", "l": "p + 4", "h": "l + 2", "c": "h + 14", "g": "c + 19", "u": 4}, "premises": {"u": 4}, "target": "y"}, "answer": {"steps": [["m", "x + 1", "x + 19"], ["x", "i + 13", "i + 32"], ["i", "n + 8", "n + 40"], ["n", "e + 1", "e + 41"], ["e", "u + 10", "u + 51"], ["u", 4, "55"]], "target_var_name": "y", "target_value": 55, "value_dict": {"u": 4}, "is_reverse": true}}
| 54
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 14; q = u + 13; u = 4; l = p + 4; x = i + 13; y = m + 18; g = c + 19; i = n + 8; m = x + 1; h = l + 2; p = q + 14; n = e + 1; e = u + 10. If u = 4, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 1 to y, which gives y = x + 19.\n2. Substitute x = i + 13 to y, which gives y = i + 32.\n3. Substitute i = n + 8 to y, which gives y = n + 40.\n4. Substitute n = e + 1 to y, which gives y = e + 41.\n5. Substitute e = u + 10 to y, which gives y = u + 51.\n6. Substitute u = 4 to y, which gives y = 55.\n\nThus, the final answer is y = \\boxed{55}.",
"index": 54,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 14; q = u + 13; u = 4; l = p + 4; x = i + 13; y = m + 18; g = c + 19; i = n + 8; m = x + 1; h = l + 2; p = q + 14; n = e + 1; e = u + 10. If u = 4, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"q": "p + 4", "w": "q + 6", "z": "w + 2", "t": "z + 11", "o": "t + 13", "b": "o + 3", "a": "p + 2", "d": "a + 18", "g": "d + 18", "e": "g + 3", "m": "e + 19", "n": "m + 8", "p": 5}, "premises": {"p": 5}, "target": "b"}, "answer": {"steps": [["o", "t + 13", "t + 16"], ["t", "z + 11", "z + 27"], ["z", "w + 2", "w + 29"], ["w", "q + 6", "q + 35"], ["q", "p + 4", "p + 39"], ["p", 5, "44"]], "target_var_name": "b", "target_value": 44, "value_dict": {"p": 5}, "is_reverse": true}}
| 55
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 18; o = t + 13; w = q + 6; p = 5; m = e + 19; q = p + 4; t = z + 11; z = w + 2; b = o + 3; e = g + 3; n = m + 8; a = p + 2; g = d + 18. Given that p = 5, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 13 to b, which gives b = t + 16.\n2. Substitute t = z + 11 to b, which gives b = z + 27.\n3. Substitute z = w + 2 to b, which gives b = w + 29.\n4. Substitute w = q + 6 to b, which gives b = q + 35.\n5. Substitute q = p + 4 to b, which gives b = p + 39.\n6. Substitute p = 5 to b, which gives b = 44.\n\nThus, the final answer is b = \\boxed{44}.",
"index": 55,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 18; o = t + 13; w = q + 6; p = 5; m = e + 19; q = p + 4; t = z + 11; z = w + 2; b = o + 3; e = g + 3; n = m + 8; a = p + 2; g = d + 18. Given that p = 5, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "n + 3", "b": "c + 10", "s": "b + 20", "y": "s + 19", "l": "y + 5", "w": "l + 13", "v": "n + 6", "f": "v + 13", "i": "f + 16", "o": "i + 11", "d": "o + 5", "h": "d + 16", "n": 1}, "premises": {"n": 1}, "target": "w"}, "answer": {"steps": [["l", "y + 5", "y + 18"], ["y", "s + 19", "s + 37"], ["s", "b + 20", "b + 57"], ["b", "c + 10", "c + 67"], ["c", "n + 3", "n + 70"], ["n", 1, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"n": 1}, "is_reverse": true}}
| 56
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = l + 13; v = n + 6; l = y + 5; f = v + 13; d = o + 5; s = b + 20; c = n + 3; o = i + 11; b = c + 10; n = 1; i = f + 16; y = s + 19; h = d + 16. If n = 1, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 5 to w, which gives w = y + 18.\n2. Substitute y = s + 19 to w, which gives w = s + 37.\n3. Substitute s = b + 20 to w, which gives w = b + 57.\n4. Substitute b = c + 10 to w, which gives w = c + 67.\n5. Substitute c = n + 3 to w, which gives w = n + 70.\n6. Substitute n = 1 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 56,
"question": "Consider a system of variables where each variable is defined as follows: w = l + 13; v = n + 6; l = y + 5; f = v + 13; d = o + 5; s = b + 20; c = n + 3; o = i + 11; b = c + 10; n = 1; i = f + 16; y = s + 19; h = d + 16. If n = 1, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 11", "n": "r + 16", "j": "n + 2", "w": "j + 18", "i": "w + 9", "a": "i + 10", "t": "h + 15", "s": "t + 1", "c": "s + 2", "u": "c + 2", "o": "u + 17", "y": "o + 20", "h": 7}, "premises": {"h": 7}, "target": "a"}, "answer": {"steps": [["i", "w + 9", "w + 19"], ["w", "j + 18", "j + 37"], ["j", "n + 2", "n + 39"], ["n", "r + 16", "r + 55"], ["r", "h + 11", "h + 66"], ["h", 7, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"h": 7}, "is_reverse": true}}
| 57
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = 7; w = j + 18; r = h + 11; n = r + 16; t = h + 15; i = w + 9; a = i + 10; s = t + 1; j = n + 2; c = s + 2; y = o + 20; o = u + 17; u = c + 2. If h = 7, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 9 to a, which gives a = w + 19.\n2. Substitute w = j + 18 to a, which gives a = j + 37.\n3. Substitute j = n + 2 to a, which gives a = n + 39.\n4. Substitute n = r + 16 to a, which gives a = r + 55.\n5. Substitute r = h + 11 to a, which gives a = h + 66.\n6. Substitute h = 7 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 57,
"question": "Consider a system of variables where each variable is defined as follows: h = 7; w = j + 18; r = h + 11; n = r + 16; t = h + 15; i = w + 9; a = i + 10; s = t + 1; j = n + 2; c = s + 2; y = o + 20; o = u + 17; u = c + 2. If h = 7, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"c": "i + 16", "j": "c + 12", "s": "j + 17", "f": "s + 18", "p": "f + 12", "z": "p + 2", "e": "i + 7", "a": "e + 16", "u": "a + 16", "r": "u + 1", "y": "r + 18", "n": "y + 9", "i": 17}, "premises": {"i": 17}, "target": "z"}, "answer": {"steps": [["p", "f + 12", "f + 14"], ["f", "s + 18", "s + 32"], ["s", "j + 17", "j + 49"], ["j", "c + 12", "c + 61"], ["c", "i + 16", "i + 77"], ["i", 17, "94"]], "target_var_name": "z", "target_value": 94, "value_dict": {"i": 17}, "is_reverse": true}}
| 58
| 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 = p + 2; y = r + 18; j = c + 12; u = a + 16; e = i + 7; a = e + 16; p = f + 12; s = j + 17; i = 17; r = u + 1; n = y + 9; c = i + 16; f = s + 18. If i = 17, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 12 to z, which gives z = f + 14.\n2. Substitute f = s + 18 to z, which gives z = s + 32.\n3. Substitute s = j + 17 to z, which gives z = j + 49.\n4. Substitute j = c + 12 to z, which gives z = c + 61.\n5. Substitute c = i + 16 to z, which gives z = i + 77.\n6. Substitute i = 17 to z, which gives z = 94.\n\nThus, the final answer is z = \\boxed{94}.",
"index": 58,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = p + 2; y = r + 18; j = c + 12; u = a + 16; e = i + 7; a = e + 16; p = f + 12; s = j + 17; i = 17; r = u + 1; n = y + 9; c = i + 16; f = s + 18. If i = 17, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 15", "f": "z + 1", "v": "f + 7", "x": "v + 13", "g": "x + 14", "s": "g + 11", "w": "j + 15", "o": "w + 9", "a": "o + 2", "l": "a + 18", "u": "l + 11", "m": "u + 1", "j": 12}, "premises": {"j": 12}, "target": "s"}, "answer": {"steps": [["g", "x + 14", "x + 25"], ["x", "v + 13", "v + 38"], ["v", "f + 7", "f + 45"], ["f", "z + 1", "z + 46"], ["z", "j + 15", "j + 61"], ["j", 12, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"j": 12}, "is_reverse": true}}
| 59
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 15; m = u + 1; o = w + 9; x = v + 13; l = a + 18; s = g + 11; a = o + 2; z = j + 15; v = f + 7; j = 12; u = l + 11; g = x + 14; f = z + 1. If j = 12, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 14 to s, which gives s = x + 25.\n2. Substitute x = v + 13 to s, which gives s = v + 38.\n3. Substitute v = f + 7 to s, which gives s = f + 45.\n4. Substitute f = z + 1 to s, which gives s = z + 46.\n5. Substitute z = j + 15 to s, which gives s = j + 61.\n6. Substitute j = 12 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 59,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 15; m = u + 1; o = w + 9; x = v + 13; l = a + 18; s = g + 11; a = o + 2; z = j + 15; v = f + 7; j = 12; u = l + 11; g = x + 14; f = z + 1. If j = 12, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 14", "h": "b + 11", "z": "h + 19", "r": "z + 20", "w": "r + 20", "o": "w + 10", "d": "n + 8", "j": "d + 7", "g": "j + 4", "q": "g + 12", "x": "q + 6", "e": "x + 16", "n": 11}, "premises": {"n": 11}, "target": "o"}, "answer": {"steps": [["w", "r + 20", "r + 30"], ["r", "z + 20", "z + 50"], ["z", "h + 19", "h + 69"], ["h", "b + 11", "b + 80"], ["b", "n + 14", "n + 94"], ["n", 11, "105"]], "target_var_name": "o", "target_value": 105, "value_dict": {"n": 11}, "is_reverse": true}}
| 60
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = d + 7; d = n + 8; x = q + 6; h = b + 11; r = z + 20; b = n + 14; z = h + 19; n = 11; o = w + 10; w = r + 20; e = x + 16; q = g + 12; g = j + 4. Given that n = 11, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 105,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 20 to o, which gives o = r + 30.\n2. Substitute r = z + 20 to o, which gives o = z + 50.\n3. Substitute z = h + 19 to o, which gives o = h + 69.\n4. Substitute h = b + 11 to o, which gives o = b + 80.\n5. Substitute b = n + 14 to o, which gives o = n + 94.\n6. Substitute n = 11 to o, which gives o = 105.\n\nThus, the final answer is o = \\boxed{105}.",
"index": 60,
"question": "Suppose a collection of variables is related by the following definitions: j = d + 7; d = n + 8; x = q + 6; h = b + 11; r = z + 20; b = n + 14; z = h + 19; n = 11; o = w + 10; w = r + 20; e = x + 16; q = g + 12; g = j + 4. Given that n = 11, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"o": "c + 17", "d": "o + 7", "t": "d + 2", "y": "t + 16", "e": "y + 10", "q": "e + 10", "l": "c + 19", "f": "l + 1", "m": "f + 19", "r": "m + 18", "b": "r + 8", "k": "b + 15", "c": 16}, "premises": {"c": 16}, "target": "q"}, "answer": {"steps": [["e", "y + 10", "y + 20"], ["y", "t + 16", "t + 36"], ["t", "d + 2", "d + 38"], ["d", "o + 7", "o + 45"], ["o", "c + 17", "c + 62"], ["c", 16, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"c": 16}, "is_reverse": true}}
| 61
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = c + 19; k = b + 15; c = 16; d = o + 7; q = e + 10; r = m + 18; o = c + 17; t = d + 2; e = y + 10; y = t + 16; m = f + 19; b = r + 8; f = l + 1. If c = 16, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 10 to q, which gives q = y + 20.\n2. Substitute y = t + 16 to q, which gives q = t + 36.\n3. Substitute t = d + 2 to q, which gives q = d + 38.\n4. Substitute d = o + 7 to q, which gives q = o + 45.\n5. Substitute o = c + 17 to q, which gives q = c + 62.\n6. Substitute c = 16 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 61,
"question": "Consider a system of variables where each variable is defined as follows: l = c + 19; k = b + 15; c = 16; d = o + 7; q = e + 10; r = m + 18; o = c + 17; t = d + 2; e = y + 10; y = t + 16; m = f + 19; b = r + 8; f = l + 1. If c = 16, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"n": "z + 20", "p": "n + 13", "b": "p + 4", "x": "b + 3", "q": "x + 15", "g": "q + 8", "l": "z + 18", "f": "l + 18", "u": "f + 6", "e": "u + 18", "v": "e + 9", "i": "v + 3", "z": 7}, "premises": {"z": 7}, "target": "g"}, "answer": {"steps": [["q", "x + 15", "x + 23"], ["x", "b + 3", "b + 26"], ["b", "p + 4", "p + 30"], ["p", "n + 13", "n + 43"], ["n", "z + 20", "z + 63"], ["z", 7, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"z": 7}, "is_reverse": true}}
| 62
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = x + 15; z = 7; v = e + 9; p = n + 13; b = p + 4; x = b + 3; e = u + 18; u = f + 6; l = z + 18; i = v + 3; g = q + 8; n = z + 20; f = l + 18. Given that z = 7, 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. Substitute q = x + 15 to g, which gives g = x + 23.\n2. Substitute x = b + 3 to g, which gives g = b + 26.\n3. Substitute b = p + 4 to g, which gives g = p + 30.\n4. Substitute p = n + 13 to g, which gives g = n + 43.\n5. Substitute n = z + 20 to g, which gives g = z + 63.\n6. Substitute z = 7 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 62,
"question": "Suppose a collection of variables is related by the following definitions: q = x + 15; z = 7; v = e + 9; p = n + 13; b = p + 4; x = b + 3; e = u + 18; u = f + 6; l = z + 18; i = v + 3; g = q + 8; n = z + 20; f = l + 18. Given that z = 7, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "t + 2", "x": "r + 15", "n": "x + 8", "w": "n + 16", "h": "w + 9", "m": "h + 18", "e": "t + 5", "a": "e + 13", "i": "a + 2", "u": "i + 6", "y": "u + 3", "z": "y + 13", "t": 9}, "premises": {"t": 9}, "target": "m"}, "answer": {"steps": [["h", "w + 9", "w + 27"], ["w", "n + 16", "n + 43"], ["n", "x + 8", "x + 51"], ["x", "r + 15", "r + 66"], ["r", "t + 2", "t + 68"], ["t", 9, "77"]], "target_var_name": "m", "target_value": 77, "value_dict": {"t": 9}, "is_reverse": true}}
| 63
| 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 = e + 13; h = w + 9; x = r + 15; t = 9; u = i + 6; y = u + 3; z = y + 13; w = n + 16; m = h + 18; n = x + 8; i = a + 2; e = t + 5; r = t + 2. If t = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = w + 9 to m, which gives m = w + 27.\n2. Substitute w = n + 16 to m, which gives m = n + 43.\n3. Substitute n = x + 8 to m, which gives m = x + 51.\n4. Substitute x = r + 15 to m, which gives m = r + 66.\n5. Substitute r = t + 2 to m, which gives m = t + 68.\n6. Substitute t = 9 to m, which gives m = 77.\n\nThus, the final answer is m = \\boxed{77}.",
"index": 63,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 13; h = w + 9; x = r + 15; t = 9; u = i + 6; y = u + 3; z = y + 13; w = n + 16; m = h + 18; n = x + 8; i = a + 2; e = t + 5; r = t + 2. If t = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 9", "e": "f + 10", "l": "e + 12", "q": "l + 14", "d": "q + 9", "p": "d + 18", "w": "j + 7", "z": "w + 13", "g": "z + 12", "m": "g + 6", "i": "m + 19", "t": "i + 5", "j": 8}, "premises": {"j": 8}, "target": "p"}, "answer": {"steps": [["d", "q + 9", "q + 27"], ["q", "l + 14", "l + 41"], ["l", "e + 12", "e + 53"], ["e", "f + 10", "f + 63"], ["f", "j + 9", "j + 72"], ["j", 8, "80"]], "target_var_name": "p", "target_value": 80, "value_dict": {"j": 8}, "is_reverse": true}}
| 64
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 14; p = d + 18; w = j + 7; g = z + 12; e = f + 10; i = m + 19; z = w + 13; j = 8; t = i + 5; d = q + 9; m = g + 6; l = e + 12; f = j + 9. If j = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 9 to p, which gives p = q + 27.\n2. Substitute q = l + 14 to p, which gives p = l + 41.\n3. Substitute l = e + 12 to p, which gives p = e + 53.\n4. Substitute e = f + 10 to p, which gives p = f + 63.\n5. Substitute f = j + 9 to p, which gives p = j + 72.\n6. Substitute j = 8 to p, which gives p = 80.\n\nThus, the final answer is p = \\boxed{80}.",
"index": 64,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 14; p = d + 18; w = j + 7; g = z + 12; e = f + 10; i = m + 19; z = w + 13; j = 8; t = i + 5; d = q + 9; m = g + 6; l = e + 12; f = j + 9. If j = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 14", "x": "g + 16", "d": "x + 14", "r": "d + 2", "e": "r + 15", "h": "e + 17", "b": "a + 10", "u": "b + 4", "s": "u + 18", "i": "s + 12", "k": "i + 17", "n": "k + 17", "a": 17}, "premises": {"a": 17}, "target": "h"}, "answer": {"steps": [["e", "r + 15", "r + 32"], ["r", "d + 2", "d + 34"], ["d", "x + 14", "x + 48"], ["x", "g + 16", "g + 64"], ["g", "a + 14", "a + 78"], ["a", 17, "95"]], "target_var_name": "h", "target_value": 95, "value_dict": {"a": 17}, "is_reverse": true}}
| 65
| 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 = u + 18; d = x + 14; n = k + 17; x = g + 16; u = b + 4; k = i + 17; e = r + 15; g = a + 14; a = 17; h = e + 17; r = d + 2; i = s + 12; b = a + 10. If a = 17, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 15 to h, which gives h = r + 32.\n2. Substitute r = d + 2 to h, which gives h = d + 34.\n3. Substitute d = x + 14 to h, which gives h = x + 48.\n4. Substitute x = g + 16 to h, which gives h = g + 64.\n5. Substitute g = a + 14 to h, which gives h = a + 78.\n6. Substitute a = 17 to h, which gives h = 95.\n\nThus, the final answer is h = \\boxed{95}.",
"index": 65,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 18; d = x + 14; n = k + 17; x = g + 16; u = b + 4; k = i + 17; e = r + 15; g = a + 14; a = 17; h = e + 17; r = d + 2; i = s + 12; b = a + 10. If a = 17, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"w": "q + 12", "h": "w + 10", "o": "h + 20", "p": "o + 4", "v": "p + 7", "l": "v + 16", "r": "q + 16", "m": "r + 20", "y": "m + 19", "f": "y + 12", "c": "f + 3", "j": "c + 6", "q": 3}, "premises": {"q": 3}, "target": "l"}, "answer": {"steps": [["v", "p + 7", "p + 23"], ["p", "o + 4", "o + 27"], ["o", "h + 20", "h + 47"], ["h", "w + 10", "w + 57"], ["w", "q + 12", "q + 69"], ["q", 3, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"q": 3}, "is_reverse": true}}
| 66
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 16; v = p + 7; r = q + 16; c = f + 3; m = r + 20; y = m + 19; o = h + 20; q = 3; w = q + 12; f = y + 12; h = w + 10; j = c + 6; p = o + 4. If q = 3, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 7 to l, which gives l = p + 23.\n2. Substitute p = o + 4 to l, which gives l = o + 27.\n3. Substitute o = h + 20 to l, which gives l = h + 47.\n4. Substitute h = w + 10 to l, which gives l = w + 57.\n5. Substitute w = q + 12 to l, which gives l = q + 69.\n6. Substitute q = 3 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 66,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 16; v = p + 7; r = q + 16; c = f + 3; m = r + 20; y = m + 19; o = h + 20; q = 3; w = q + 12; f = y + 12; h = w + 10; j = c + 6; p = o + 4. If q = 3, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "b + 4", "o": "e + 15", "r": "o + 17", "q": "r + 9", "z": "q + 14", "y": "z + 18", "i": "b + 9", "x": "i + 7", "h": "x + 17", "w": "h + 20", "m": "w + 6", "n": "m + 8", "b": 4}, "premises": {"b": 4}, "target": "y"}, "answer": {"steps": [["z", "q + 14", "q + 32"], ["q", "r + 9", "r + 41"], ["r", "o + 17", "o + 58"], ["o", "e + 15", "e + 73"], ["e", "b + 4", "b + 77"], ["b", 4, "81"]], "target_var_name": "y", "target_value": 81, "value_dict": {"b": 4}, "is_reverse": true}}
| 67
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 15; e = b + 4; q = r + 9; h = x + 17; w = h + 20; y = z + 18; m = w + 6; i = b + 9; r = o + 17; x = i + 7; b = 4; n = m + 8; z = q + 14. If b = 4, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 14 to y, which gives y = q + 32.\n2. Substitute q = r + 9 to y, which gives y = r + 41.\n3. Substitute r = o + 17 to y, which gives y = o + 58.\n4. Substitute o = e + 15 to y, which gives y = e + 73.\n5. Substitute e = b + 4 to y, which gives y = b + 77.\n6. Substitute b = 4 to y, which gives y = 81.\n\nThus, the final answer is y = \\boxed{81}.",
"index": 67,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = e + 15; e = b + 4; q = r + 9; h = x + 17; w = h + 20; y = z + 18; m = w + 6; i = b + 9; r = o + 17; x = i + 7; b = 4; n = m + 8; z = q + 14. If b = 4, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"z": "j + 4", "h": "z + 12", "p": "h + 10", "s": "p + 9", "v": "s + 10", "m": "v + 16", "n": "j + 10", "o": "n + 12", "k": "o + 16", "e": "k + 10", "u": "e + 13", "f": "u + 5", "j": 18}, "premises": {"j": 18}, "target": "m"}, "answer": {"steps": [["v", "s + 10", "s + 26"], ["s", "p + 9", "p + 35"], ["p", "h + 10", "h + 45"], ["h", "z + 12", "z + 57"], ["z", "j + 4", "j + 61"], ["j", 18, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"j": 18}, "is_reverse": true}}
| 68
| 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 = u + 5; m = v + 16; p = h + 10; o = n + 12; z = j + 4; k = o + 16; j = 18; s = p + 9; v = s + 10; n = j + 10; u = e + 13; h = z + 12; e = k + 10. If j = 18, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 10 to m, which gives m = s + 26.\n2. Substitute s = p + 9 to m, which gives m = p + 35.\n3. Substitute p = h + 10 to m, which gives m = h + 45.\n4. Substitute h = z + 12 to m, which gives m = z + 57.\n5. Substitute z = j + 4 to m, which gives m = j + 61.\n6. Substitute j = 18 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 68,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = u + 5; m = v + 16; p = h + 10; o = n + 12; z = j + 4; k = o + 16; j = 18; s = p + 9; v = s + 10; n = j + 10; u = e + 13; h = z + 12; e = k + 10. If j = 18, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 14", "z": "b + 17", "h": "z + 9", "s": "h + 5", "m": "s + 10", "x": "m + 10", "n": "t + 7", "r": "n + 4", "w": "r + 18", "j": "w + 12", "u": "j + 10", "y": "u + 8", "t": 14}, "premises": {"t": 14}, "target": "x"}, "answer": {"steps": [["m", "s + 10", "s + 20"], ["s", "h + 5", "h + 25"], ["h", "z + 9", "z + 34"], ["z", "b + 17", "b + 51"], ["b", "t + 14", "t + 65"], ["t", 14, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"t": 14}, "is_reverse": true}}
| 69
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = b + 17; j = w + 12; y = u + 8; u = j + 10; t = 14; h = z + 9; r = n + 4; x = m + 10; s = h + 5; w = r + 18; m = s + 10; b = t + 14; n = t + 7. Given that t = 14, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 10 to x, which gives x = s + 20.\n2. Substitute s = h + 5 to x, which gives x = h + 25.\n3. Substitute h = z + 9 to x, which gives x = z + 34.\n4. Substitute z = b + 17 to x, which gives x = b + 51.\n5. Substitute b = t + 14 to x, which gives x = t + 65.\n6. Substitute t = 14 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 69,
"question": "Suppose a collection of variables is related by the following definitions: z = b + 17; j = w + 12; y = u + 8; u = j + 10; t = 14; h = z + 9; r = n + 4; x = m + 10; s = h + 5; w = r + 18; m = s + 10; b = t + 14; n = t + 7. Given that t = 14, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"h": "k + 14", "e": "h + 8", "q": "e + 3", "t": "q + 12", "b": "t + 3", "o": "b + 18", "a": "k + 12", "p": "a + 1", "v": "p + 19", "j": "v + 8", "r": "j + 14", "g": "r + 20", "k": 12}, "premises": {"k": 12}, "target": "o"}, "answer": {"steps": [["b", "t + 3", "t + 21"], ["t", "q + 12", "q + 33"], ["q", "e + 3", "e + 36"], ["e", "h + 8", "h + 44"], ["h", "k + 14", "k + 58"], ["k", 12, "70"]], "target_var_name": "o", "target_value": 70, "value_dict": {"k": 12}, "is_reverse": true}}
| 70
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 12; a = k + 12; j = v + 8; o = b + 18; e = h + 8; v = p + 19; b = t + 3; k = 12; r = j + 14; h = k + 14; q = e + 3; g = r + 20; p = a + 1. If k = 12, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 3 to o, which gives o = t + 21.\n2. Substitute t = q + 12 to o, which gives o = q + 33.\n3. Substitute q = e + 3 to o, which gives o = e + 36.\n4. Substitute e = h + 8 to o, which gives o = h + 44.\n5. Substitute h = k + 14 to o, which gives o = k + 58.\n6. Substitute k = 12 to o, which gives o = 70.\n\nThus, the final answer is o = \\boxed{70}.",
"index": 70,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 12; a = k + 12; j = v + 8; o = b + 18; e = h + 8; v = p + 19; b = t + 3; k = 12; r = j + 14; h = k + 14; q = e + 3; g = r + 20; p = a + 1. If k = 12, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"o": "i + 2", "y": "o + 5", "w": "y + 20", "x": "w + 9", "q": "x + 5", "n": "q + 12", "c": "i + 16", "l": "c + 10", "v": "l + 12", "j": "v + 7", "e": "j + 8", "f": "e + 1", "i": 15}, "premises": {"i": 15}, "target": "n"}, "answer": {"steps": [["q", "x + 5", "x + 17"], ["x", "w + 9", "w + 26"], ["w", "y + 20", "y + 46"], ["y", "o + 5", "o + 51"], ["o", "i + 2", "i + 53"], ["i", 15, "68"]], "target_var_name": "n", "target_value": 68, "value_dict": {"i": 15}, "is_reverse": true}}
| 71
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 2; v = l + 12; j = v + 7; w = y + 20; n = q + 12; e = j + 8; l = c + 10; c = i + 16; y = o + 5; i = 15; q = x + 5; f = e + 1; x = w + 9. If i = 15, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 5 to n, which gives n = x + 17.\n2. Substitute x = w + 9 to n, which gives n = w + 26.\n3. Substitute w = y + 20 to n, which gives n = y + 46.\n4. Substitute y = o + 5 to n, which gives n = o + 51.\n5. Substitute o = i + 2 to n, which gives n = i + 53.\n6. Substitute i = 15 to n, which gives n = 68.\n\nThus, the final answer is n = \\boxed{68}.",
"index": 71,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = i + 2; v = l + 12; j = v + 7; w = y + 20; n = q + 12; e = j + 8; l = c + 10; c = i + 16; y = o + 5; i = 15; q = x + 5; f = e + 1; x = w + 9. If i = 15, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"h": "w + 11", "r": "h + 8", "p": "r + 10", "f": "p + 8", "l": "f + 12", "t": "l + 10", "s": "w + 19", "z": "s + 8", "g": "z + 10", "v": "g + 8", "d": "v + 20", "b": "d + 1", "w": 20}, "premises": {"w": 20}, "target": "t"}, "answer": {"steps": [["l", "f + 12", "f + 22"], ["f", "p + 8", "p + 30"], ["p", "r + 10", "r + 40"], ["r", "h + 8", "h + 48"], ["h", "w + 11", "w + 59"], ["w", 20, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"w": 20}, "is_reverse": true}}
| 72
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 19; w = 20; l = f + 12; t = l + 10; g = z + 10; f = p + 8; z = s + 8; p = r + 10; h = w + 11; r = h + 8; v = g + 8; d = v + 20; b = d + 1. Given that w = 20, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 12 to t, which gives t = f + 22.\n2. Substitute f = p + 8 to t, which gives t = p + 30.\n3. Substitute p = r + 10 to t, which gives t = r + 40.\n4. Substitute r = h + 8 to t, which gives t = h + 48.\n5. Substitute h = w + 11 to t, which gives t = w + 59.\n6. Substitute w = 20 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 72,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 19; w = 20; l = f + 12; t = l + 10; g = z + 10; f = p + 8; z = s + 8; p = r + 10; h = w + 11; r = h + 8; v = g + 8; d = v + 20; b = d + 1. Given that w = 20, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"w": "m + 10", "d": "w + 15", "y": "d + 6", "i": "y + 16", "c": "i + 2", "g": "c + 20", "s": "m + 11", "a": "s + 18", "u": "a + 6", "r": "u + 1", "p": "r + 10", "e": "p + 8", "m": 3}, "premises": {"m": 3}, "target": "g"}, "answer": {"steps": [["c", "i + 2", "i + 22"], ["i", "y + 16", "y + 38"], ["y", "d + 6", "d + 44"], ["d", "w + 15", "w + 59"], ["w", "m + 10", "m + 69"], ["m", 3, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"m": 3}, "is_reverse": true}}
| 73
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 20; d = w + 15; c = i + 2; m = 3; r = u + 1; p = r + 10; y = d + 6; s = m + 11; w = m + 10; a = s + 18; e = p + 8; u = a + 6; i = y + 16. If m = 3, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 2 to g, which gives g = i + 22.\n2. Substitute i = y + 16 to g, which gives g = y + 38.\n3. Substitute y = d + 6 to g, which gives g = d + 44.\n4. Substitute d = w + 15 to g, which gives g = w + 59.\n5. Substitute w = m + 10 to g, which gives g = m + 69.\n6. Substitute m = 3 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 73,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = c + 20; d = w + 15; c = i + 2; m = 3; r = u + 1; p = r + 10; y = d + 6; s = m + 11; w = m + 10; a = s + 18; e = p + 8; u = a + 6; i = y + 16. If m = 3, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 19", "i": "y + 9", "h": "i + 19", "f": "h + 1", "e": "f + 1", "t": "e + 10", "d": "l + 5", "x": "d + 19", "g": "x + 13", "v": "g + 19", "k": "v + 15", "c": "k + 11", "l": 1}, "premises": {"l": 1}, "target": "t"}, "answer": {"steps": [["e", "f + 1", "f + 11"], ["f", "h + 1", "h + 12"], ["h", "i + 19", "i + 31"], ["i", "y + 9", "y + 40"], ["y", "l + 19", "l + 59"], ["l", 1, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"l": 1}, "is_reverse": true}}
| 74
| 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 = h + 1; l = 1; t = e + 10; i = y + 9; x = d + 19; y = l + 19; c = k + 11; v = g + 19; g = x + 13; h = i + 19; d = l + 5; k = v + 15; e = f + 1. If l = 1, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 1 to t, which gives t = f + 11.\n2. Substitute f = h + 1 to t, which gives t = h + 12.\n3. Substitute h = i + 19 to t, which gives t = i + 31.\n4. Substitute i = y + 9 to t, which gives t = y + 40.\n5. Substitute y = l + 19 to t, which gives t = l + 59.\n6. Substitute l = 1 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 74,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 1; l = 1; t = e + 10; i = y + 9; x = d + 19; y = l + 19; c = k + 11; v = g + 19; g = x + 13; h = i + 19; d = l + 5; k = v + 15; e = f + 1. If l = 1, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 15", "v": "g + 12", "j": "v + 3", "f": "j + 16", "y": "f + 12", "u": "y + 9", "b": "s + 12", "h": "b + 6", "x": "h + 8", "z": "x + 15", "e": "z + 3", "a": "e + 15", "s": 15}, "premises": {"s": 15}, "target": "u"}, "answer": {"steps": [["y", "f + 12", "f + 21"], ["f", "j + 16", "j + 37"], ["j", "v + 3", "v + 40"], ["v", "g + 12", "g + 52"], ["g", "s + 15", "s + 67"], ["s", 15, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"s": 15}, "is_reverse": true}}
| 75
| 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 = b + 6; e = z + 3; v = g + 12; b = s + 12; u = y + 9; z = x + 15; g = s + 15; f = j + 16; x = h + 8; a = e + 15; s = 15; y = f + 12; j = v + 3. If s = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 12 to u, which gives u = f + 21.\n2. Substitute f = j + 16 to u, which gives u = j + 37.\n3. Substitute j = v + 3 to u, which gives u = v + 40.\n4. Substitute v = g + 12 to u, which gives u = g + 52.\n5. Substitute g = s + 15 to u, which gives u = s + 67.\n6. Substitute s = 15 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 75,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = b + 6; e = z + 3; v = g + 12; b = s + 12; u = y + 9; z = x + 15; g = s + 15; f = j + 16; x = h + 8; a = e + 15; s = 15; y = f + 12; j = v + 3. If s = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"k": "a + 11", "x": "k + 6", "p": "x + 14", "j": "p + 18", "o": "j + 9", "s": "o + 5", "u": "a + 7", "l": "u + 3", "w": "l + 2", "d": "w + 8", "m": "d + 6", "z": "m + 13", "a": 19}, "premises": {"a": 19}, "target": "s"}, "answer": {"steps": [["o", "j + 9", "j + 14"], ["j", "p + 18", "p + 32"], ["p", "x + 14", "x + 46"], ["x", "k + 6", "k + 52"], ["k", "a + 11", "a + 63"], ["a", 19, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"a": 19}, "is_reverse": true}}
| 76
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 14; m = d + 6; z = m + 13; k = a + 11; s = o + 5; x = k + 6; a = 19; j = p + 18; d = w + 8; o = j + 9; u = a + 7; w = l + 2; l = u + 3. If a = 19, determine the 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. Substitute o = j + 9 to s, which gives s = j + 14.\n2. Substitute j = p + 18 to s, which gives s = p + 32.\n3. Substitute p = x + 14 to s, which gives s = x + 46.\n4. Substitute x = k + 6 to s, which gives s = k + 52.\n5. Substitute k = a + 11 to s, which gives s = a + 63.\n6. Substitute a = 19 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 76,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 14; m = d + 6; z = m + 13; k = a + 11; s = o + 5; x = k + 6; a = 19; j = p + 18; d = w + 8; o = j + 9; u = a + 7; w = l + 2; l = u + 3. If a = 19, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"d": "a + 6", "v": "d + 2", "x": "v + 11", "t": "x + 2", "u": "t + 12", "q": "u + 6", "b": "a + 10", "g": "b + 3", "w": "g + 16", "n": "w + 14", "h": "n + 19", "r": "h + 15", "a": 2}, "premises": {"a": 2}, "target": "q"}, "answer": {"steps": [["u", "t + 12", "t + 18"], ["t", "x + 2", "x + 20"], ["x", "v + 11", "v + 31"], ["v", "d + 2", "d + 33"], ["d", "a + 6", "a + 39"], ["a", 2, "41"]], "target_var_name": "q", "target_value": 41, "value_dict": {"a": 2}, "is_reverse": true}}
| 77
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 16; q = u + 6; u = t + 12; a = 2; v = d + 2; h = n + 19; r = h + 15; d = a + 6; n = w + 14; x = v + 11; t = x + 2; g = b + 3; b = a + 10. Given that a = 2, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 12 to q, which gives q = t + 18.\n2. Substitute t = x + 2 to q, which gives q = x + 20.\n3. Substitute x = v + 11 to q, which gives q = v + 31.\n4. Substitute v = d + 2 to q, which gives q = d + 33.\n5. Substitute d = a + 6 to q, which gives q = a + 39.\n6. Substitute a = 2 to q, which gives q = 41.\n\nThus, the final answer is q = \\boxed{41}.",
"index": 77,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 16; q = u + 6; u = t + 12; a = 2; v = d + 2; h = n + 19; r = h + 15; d = a + 6; n = w + 14; x = v + 11; t = x + 2; g = b + 3; b = a + 10. Given that a = 2, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"p": "o + 1", "e": "p + 16", "j": "e + 17", "l": "j + 15", "h": "l + 7", "x": "h + 18", "u": "o + 20", "t": "u + 11", "z": "t + 14", "w": "z + 9", "v": "w + 19", "b": "v + 2", "o": 5}, "premises": {"o": 5}, "target": "x"}, "answer": {"steps": [["h", "l + 7", "l + 25"], ["l", "j + 15", "j + 40"], ["j", "e + 17", "e + 57"], ["e", "p + 16", "p + 73"], ["p", "o + 1", "o + 74"], ["o", 5, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"o": 5}, "is_reverse": true}}
| 78
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = 5; p = o + 1; v = w + 19; z = t + 14; l = j + 15; j = e + 17; u = o + 20; b = v + 2; e = p + 16; x = h + 18; w = z + 9; h = l + 7; t = u + 11. If o = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 7 to x, which gives x = l + 25.\n2. Substitute l = j + 15 to x, which gives x = j + 40.\n3. Substitute j = e + 17 to x, which gives x = e + 57.\n4. Substitute e = p + 16 to x, which gives x = p + 73.\n5. Substitute p = o + 1 to x, which gives x = o + 74.\n6. Substitute o = 5 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 78,
"question": "Consider a system of variables where each variable is defined as follows: o = 5; p = o + 1; v = w + 19; z = t + 14; l = j + 15; j = e + 17; u = o + 20; b = v + 2; e = p + 16; x = h + 18; w = z + 9; h = l + 7; t = u + 11. If o = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"y": "z + 6", "m": "y + 19", "w": "m + 4", "h": "w + 12", "t": "h + 7", "a": "t + 2", "l": "z + 4", "k": "l + 7", "n": "k + 2", "v": "n + 11", "f": "v + 12", "e": "f + 3", "z": 4}, "premises": {"z": 4}, "target": "a"}, "answer": {"steps": [["t", "h + 7", "h + 9"], ["h", "w + 12", "w + 21"], ["w", "m + 4", "m + 25"], ["m", "y + 19", "y + 44"], ["y", "z + 6", "z + 50"], ["z", 4, "54"]], "target_var_name": "a", "target_value": 54, "value_dict": {"z": 4}, "is_reverse": true}}
| 79
| 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 = n + 11; k = l + 7; f = v + 12; m = y + 19; y = z + 6; w = m + 4; a = t + 2; n = k + 2; t = h + 7; z = 4; h = w + 12; l = z + 4; e = f + 3. If z = 4, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 7 to a, which gives a = h + 9.\n2. Substitute h = w + 12 to a, which gives a = w + 21.\n3. Substitute w = m + 4 to a, which gives a = m + 25.\n4. Substitute m = y + 19 to a, which gives a = y + 44.\n5. Substitute y = z + 6 to a, which gives a = z + 50.\n6. Substitute z = 4 to a, which gives a = 54.\n\nThus, the final answer is a = \\boxed{54}.",
"index": 79,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = n + 11; k = l + 7; f = v + 12; m = y + 19; y = z + 6; w = m + 4; a = t + 2; n = k + 2; t = h + 7; z = 4; h = w + 12; l = z + 4; e = f + 3. If z = 4, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"b": "c + 7", "q": "b + 9", "v": "q + 9", "x": "v + 9", "m": "x + 6", "h": "m + 4", "n": "c + 4", "z": "n + 19", "t": "z + 5", "f": "t + 5", "l": "f + 4", "u": "l + 2", "c": 1}, "premises": {"c": 1}, "target": "h"}, "answer": {"steps": [["m", "x + 6", "x + 10"], ["x", "v + 9", "v + 19"], ["v", "q + 9", "q + 28"], ["q", "b + 9", "b + 37"], ["b", "c + 7", "c + 44"], ["c", 1, "45"]], "target_var_name": "h", "target_value": 45, "value_dict": {"c": 1}, "is_reverse": true}}
| 80
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 5; z = n + 19; b = c + 7; x = v + 9; l = f + 4; v = q + 9; c = 1; n = c + 4; t = z + 5; u = l + 2; m = x + 6; h = m + 4; q = b + 9. If c = 1, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 45,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 6 to h, which gives h = x + 10.\n2. Substitute x = v + 9 to h, which gives h = v + 19.\n3. Substitute v = q + 9 to h, which gives h = q + 28.\n4. Substitute q = b + 9 to h, which gives h = b + 37.\n5. Substitute b = c + 7 to h, which gives h = c + 44.\n6. Substitute c = 1 to h, which gives h = 45.\n\nThus, the final answer is h = \\boxed{45}.",
"index": 80,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 5; z = n + 19; b = c + 7; x = v + 9; l = f + 4; v = q + 9; c = 1; n = c + 4; t = z + 5; u = l + 2; m = x + 6; h = m + 4; q = b + 9. If c = 1, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 6", "c": "i + 5", "n": "c + 19", "f": "n + 6", "z": "f + 5", "b": "z + 1", "q": "t + 1", "s": "q + 20", "p": "s + 15", "k": "p + 19", "l": "k + 12", "o": "l + 7", "t": 18}, "premises": {"t": 18}, "target": "b"}, "answer": {"steps": [["z", "f + 5", "f + 6"], ["f", "n + 6", "n + 12"], ["n", "c + 19", "c + 31"], ["c", "i + 5", "i + 36"], ["i", "t + 6", "t + 42"], ["t", 18, "60"]], "target_var_name": "b", "target_value": 60, "value_dict": {"t": 18}, "is_reverse": true}}
| 81
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 7; c = i + 5; p = s + 15; b = z + 1; f = n + 6; t = 18; z = f + 5; k = p + 19; l = k + 12; i = t + 6; n = c + 19; q = t + 1; s = q + 20. If t = 18, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = f + 5 to b, which gives b = f + 6.\n2. Substitute f = n + 6 to b, which gives b = n + 12.\n3. Substitute n = c + 19 to b, which gives b = c + 31.\n4. Substitute c = i + 5 to b, which gives b = i + 36.\n5. Substitute i = t + 6 to b, which gives b = t + 42.\n6. Substitute t = 18 to b, which gives b = 60.\n\nThus, the final answer is b = \\boxed{60}.",
"index": 81,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = l + 7; c = i + 5; p = s + 15; b = z + 1; f = n + 6; t = 18; z = f + 5; k = p + 19; l = k + 12; i = t + 6; n = c + 19; q = t + 1; s = q + 20. If t = 18, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 10", "f": "u + 8", "n": "f + 18", "t": "n + 10", "w": "t + 17", "v": "w + 11", "b": "x + 19", "s": "b + 2", "h": "s + 15", "q": "h + 12", "y": "q + 1", "l": "y + 5", "x": 13}, "premises": {"x": 13}, "target": "v"}, "answer": {"steps": [["w", "t + 17", "t + 28"], ["t", "n + 10", "n + 38"], ["n", "f + 18", "f + 56"], ["f", "u + 8", "u + 64"], ["u", "x + 10", "x + 74"], ["x", 13, "87"]], "target_var_name": "v", "target_value": 87, "value_dict": {"x": 13}, "is_reverse": true}}
| 82
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = 13; v = w + 11; h = s + 15; l = y + 5; f = u + 8; q = h + 12; t = n + 10; u = x + 10; w = t + 17; b = x + 19; y = q + 1; n = f + 18; s = b + 2. If x = 13, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 17 to v, which gives v = t + 28.\n2. Substitute t = n + 10 to v, which gives v = n + 38.\n3. Substitute n = f + 18 to v, which gives v = f + 56.\n4. Substitute f = u + 8 to v, which gives v = u + 64.\n5. Substitute u = x + 10 to v, which gives v = x + 74.\n6. Substitute x = 13 to v, which gives v = 87.\n\nThus, the final answer is v = \\boxed{87}.",
"index": 82,
"question": "Consider a system of variables where each variable is defined as follows: x = 13; v = w + 11; h = s + 15; l = y + 5; f = u + 8; q = h + 12; t = n + 10; u = x + 10; w = t + 17; b = x + 19; y = q + 1; n = f + 18; s = b + 2. If x = 13, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"l": "r + 5", "c": "l + 5", "d": "c + 18", "v": "d + 1", "j": "v + 4", "i": "j + 5", "g": "r + 11", "a": "g + 7", "h": "a + 6", "s": "h + 7", "u": "s + 12", "f": "u + 20", "r": 6}, "premises": {"r": 6}, "target": "i"}, "answer": {"steps": [["j", "v + 4", "v + 9"], ["v", "d + 1", "d + 10"], ["d", "c + 18", "c + 28"], ["c", "l + 5", "l + 33"], ["l", "r + 5", "r + 38"], ["r", 6, "44"]], "target_var_name": "i", "target_value": 44, "value_dict": {"r": 6}, "is_reverse": true}}
| 83
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 4; l = r + 5; s = h + 7; i = j + 5; g = r + 11; r = 6; f = u + 20; u = s + 12; d = c + 18; c = l + 5; h = a + 6; v = d + 1; a = g + 7. If r = 6, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 44,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 4 to i, which gives i = v + 9.\n2. Substitute v = d + 1 to i, which gives i = d + 10.\n3. Substitute d = c + 18 to i, which gives i = c + 28.\n4. Substitute c = l + 5 to i, which gives i = l + 33.\n5. Substitute l = r + 5 to i, which gives i = r + 38.\n6. Substitute r = 6 to i, which gives i = 44.\n\nThus, the final answer is i = \\boxed{44}.",
"index": 83,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 4; l = r + 5; s = h + 7; i = j + 5; g = r + 11; r = 6; f = u + 20; u = s + 12; d = c + 18; c = l + 5; h = a + 6; v = d + 1; a = g + 7. If r = 6, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"e": "w + 13", "v": "e + 11", "m": "v + 20", "p": "m + 11", "d": "p + 17", "l": "d + 8", "y": "w + 12", "k": "y + 12", "n": "k + 1", "u": "n + 11", "q": "u + 20", "z": "q + 20", "w": 15}, "premises": {"w": 15}, "target": "l"}, "answer": {"steps": [["d", "p + 17", "p + 25"], ["p", "m + 11", "m + 36"], ["m", "v + 20", "v + 56"], ["v", "e + 11", "e + 67"], ["e", "w + 13", "w + 80"], ["w", 15, "95"]], "target_var_name": "l", "target_value": 95, "value_dict": {"w": 15}, "is_reverse": true}}
| 84
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = k + 1; y = w + 12; z = q + 20; p = m + 11; m = v + 20; k = y + 12; e = w + 13; d = p + 17; u = n + 11; v = e + 11; w = 15; q = u + 20; l = d + 8. If w = 15, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 17 to l, which gives l = p + 25.\n2. Substitute p = m + 11 to l, which gives l = m + 36.\n3. Substitute m = v + 20 to l, which gives l = v + 56.\n4. Substitute v = e + 11 to l, which gives l = e + 67.\n5. Substitute e = w + 13 to l, which gives l = w + 80.\n6. Substitute w = 15 to l, which gives l = 95.\n\nThus, the final answer is l = \\boxed{95}.",
"index": 84,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 1; y = w + 12; z = q + 20; p = m + 11; m = v + 20; k = y + 12; e = w + 13; d = p + 17; u = n + 11; v = e + 11; w = 15; q = u + 20; l = d + 8. If w = 15, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"h": "g + 5", "y": "h + 7", "t": "y + 12", "s": "t + 7", "j": "s + 8", "z": "j + 11", "w": "g + 16", "r": "w + 4", "l": "r + 11", "o": "l + 13", "v": "o + 2", "d": "v + 4", "g": 15}, "premises": {"g": 15}, "target": "z"}, "answer": {"steps": [["j", "s + 8", "s + 19"], ["s", "t + 7", "t + 26"], ["t", "y + 12", "y + 38"], ["y", "h + 7", "h + 45"], ["h", "g + 5", "g + 50"], ["g", 15, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"g": 15}, "is_reverse": true}}
| 85
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 2; l = r + 11; d = v + 4; j = s + 8; w = g + 16; g = 15; t = y + 12; s = t + 7; z = j + 11; r = w + 4; o = l + 13; y = h + 7; h = g + 5. If g = 15, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 8 to z, which gives z = s + 19.\n2. Substitute s = t + 7 to z, which gives z = t + 26.\n3. Substitute t = y + 12 to z, which gives z = y + 38.\n4. Substitute y = h + 7 to z, which gives z = h + 45.\n5. Substitute h = g + 5 to z, which gives z = g + 50.\n6. Substitute g = 15 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 85,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 2; l = r + 11; d = v + 4; j = s + 8; w = g + 16; g = 15; t = y + 12; s = t + 7; z = j + 11; r = w + 4; o = l + 13; y = h + 7; h = g + 5. If g = 15, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 6", "p": "t + 12", "n": "p + 18", "x": "n + 12", "d": "x + 1", "c": "d + 1", "l": "v + 15", "b": "l + 15", "o": "b + 7", "g": "o + 16", "i": "g + 8", "w": "i + 11", "v": 13}, "premises": {"v": 13}, "target": "c"}, "answer": {"steps": [["d", "x + 1", "x + 2"], ["x", "n + 12", "n + 14"], ["n", "p + 18", "p + 32"], ["p", "t + 12", "t + 44"], ["t", "v + 6", "v + 50"], ["v", 13, "63"]], "target_var_name": "c", "target_value": 63, "value_dict": {"v": 13}, "is_reverse": true}}
| 86
| 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 = g + 8; d = x + 1; w = i + 11; b = l + 15; x = n + 12; o = b + 7; v = 13; t = v + 6; g = o + 16; c = d + 1; p = t + 12; n = p + 18; l = v + 15. If v = 13, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = x + 1 to c, which gives c = x + 2.\n2. Substitute x = n + 12 to c, which gives c = n + 14.\n3. Substitute n = p + 18 to c, which gives c = p + 32.\n4. Substitute p = t + 12 to c, which gives c = t + 44.\n5. Substitute t = v + 6 to c, which gives c = v + 50.\n6. Substitute v = 13 to c, which gives c = 63.\n\nThus, the final answer is c = \\boxed{63}.",
"index": 86,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = g + 8; d = x + 1; w = i + 11; b = l + 15; x = n + 12; o = b + 7; v = 13; t = v + 6; g = o + 16; c = d + 1; p = t + 12; n = p + 18; l = v + 15. If v = 13, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 3", "b": "j + 20", "e": "b + 15", "r": "e + 12", "u": "r + 7", "f": "u + 14", "z": "m + 7", "d": "z + 9", "o": "d + 17", "h": "o + 16", "s": "h + 15", "l": "s + 9", "m": 18}, "premises": {"m": 18}, "target": "f"}, "answer": {"steps": [["u", "r + 7", "r + 21"], ["r", "e + 12", "e + 33"], ["e", "b + 15", "b + 48"], ["b", "j + 20", "j + 68"], ["j", "m + 3", "m + 71"], ["m", 18, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"m": 18}, "is_reverse": true}}
| 87
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = j + 20; l = s + 9; f = u + 14; j = m + 3; h = o + 16; o = d + 17; d = z + 9; z = m + 7; e = b + 15; m = 18; u = r + 7; r = e + 12; s = h + 15. Given that m = 18, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 7 to f, which gives f = r + 21.\n2. Substitute r = e + 12 to f, which gives f = e + 33.\n3. Substitute e = b + 15 to f, which gives f = b + 48.\n4. Substitute b = j + 20 to f, which gives f = j + 68.\n5. Substitute j = m + 3 to f, which gives f = m + 71.\n6. Substitute m = 18 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 87,
"question": "Suppose a collection of variables is related by the following definitions: b = j + 20; l = s + 9; f = u + 14; j = m + 3; h = o + 16; o = d + 17; d = z + 9; z = m + 7; e = b + 15; m = 18; u = r + 7; r = e + 12; s = h + 15. Given that m = 18, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 8", "k": "l + 10", "p": "k + 12", "y": "p + 13", "i": "y + 16", "u": "i + 14", "c": "f + 10", "e": "c + 12", "h": "e + 1", "g": "h + 19", "t": "g + 12", "j": "t + 6", "f": 1}, "premises": {"f": 1}, "target": "u"}, "answer": {"steps": [["i", "y + 16", "y + 30"], ["y", "p + 13", "p + 43"], ["p", "k + 12", "k + 55"], ["k", "l + 10", "l + 65"], ["l", "f + 8", "f + 73"], ["f", 1, "74"]], "target_var_name": "u", "target_value": 74, "value_dict": {"f": 1}, "is_reverse": true}}
| 88
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = l + 10; c = f + 10; t = g + 12; f = 1; g = h + 19; i = y + 16; l = f + 8; u = i + 14; e = c + 12; h = e + 1; p = k + 12; j = t + 6; y = p + 13. Given that f = 1, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 16 to u, which gives u = y + 30.\n2. Substitute y = p + 13 to u, which gives u = p + 43.\n3. Substitute p = k + 12 to u, which gives u = k + 55.\n4. Substitute k = l + 10 to u, which gives u = l + 65.\n5. Substitute l = f + 8 to u, which gives u = f + 73.\n6. Substitute f = 1 to u, which gives u = 74.\n\nThus, the final answer is u = \\boxed{74}.",
"index": 88,
"question": "Suppose a collection of variables is related by the following definitions: k = l + 10; c = f + 10; t = g + 12; f = 1; g = h + 19; i = y + 16; l = f + 8; u = i + 14; e = c + 12; h = e + 1; p = k + 12; j = t + 6; y = p + 13. Given that f = 1, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "o + 5", "w": "m + 7", "k": "w + 16", "c": "k + 18", "v": "c + 7", "b": "v + 2", "d": "o + 19", "p": "d + 3", "t": "p + 15", "u": "t + 17", "l": "u + 14", "e": "l + 15", "o": 12}, "premises": {"o": 12}, "target": "b"}, "answer": {"steps": [["v", "c + 7", "c + 9"], ["c", "k + 18", "k + 27"], ["k", "w + 16", "w + 43"], ["w", "m + 7", "m + 50"], ["m", "o + 5", "o + 55"], ["o", 12, "67"]], "target_var_name": "b", "target_value": 67, "value_dict": {"o": 12}, "is_reverse": true}}
| 89
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 12; m = o + 5; d = o + 19; b = v + 2; l = u + 14; e = l + 15; v = c + 7; w = m + 7; c = k + 18; p = d + 3; u = t + 17; t = p + 15; k = w + 16. Given that o = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 7 to b, which gives b = c + 9.\n2. Substitute c = k + 18 to b, which gives b = k + 27.\n3. Substitute k = w + 16 to b, which gives b = w + 43.\n4. Substitute w = m + 7 to b, which gives b = m + 50.\n5. Substitute m = o + 5 to b, which gives b = o + 55.\n6. Substitute o = 12 to b, which gives b = 67.\n\nThus, the final answer is b = \\boxed{67}.",
"index": 89,
"question": "Suppose a collection of variables is related by the following definitions: o = 12; m = o + 5; d = o + 19; b = v + 2; l = u + 14; e = l + 15; v = c + 7; w = m + 7; c = k + 18; p = d + 3; u = t + 17; t = p + 15; k = w + 16. Given that o = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"t": "z + 13", "l": "t + 7", "c": "l + 3", "o": "c + 18", "r": "o + 20", "s": "r + 7", "i": "z + 18", "y": "i + 11", "x": "y + 17", "j": "x + 5", "b": "j + 1", "k": "b + 1", "z": 18}, "premises": {"z": 18}, "target": "s"}, "answer": {"steps": [["r", "o + 20", "o + 27"], ["o", "c + 18", "c + 45"], ["c", "l + 3", "l + 48"], ["l", "t + 7", "t + 55"], ["t", "z + 13", "z + 68"], ["z", 18, "86"]], "target_var_name": "s", "target_value": 86, "value_dict": {"z": 18}, "is_reverse": true}}
| 90
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 5; b = j + 1; c = l + 3; x = y + 17; r = o + 20; s = r + 7; i = z + 18; y = i + 11; l = t + 7; z = 18; k = b + 1; o = c + 18; t = z + 13. If z = 18, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 20 to s, which gives s = o + 27.\n2. Substitute o = c + 18 to s, which gives s = c + 45.\n3. Substitute c = l + 3 to s, which gives s = l + 48.\n4. Substitute l = t + 7 to s, which gives s = t + 55.\n5. Substitute t = z + 13 to s, which gives s = z + 68.\n6. Substitute z = 18 to s, which gives s = 86.\n\nThus, the final answer is s = \\boxed{86}.",
"index": 90,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 5; b = j + 1; c = l + 3; x = y + 17; r = o + 20; s = r + 7; i = z + 18; y = i + 11; l = t + 7; z = 18; k = b + 1; o = c + 18; t = z + 13. If z = 18, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "u + 19", "b": "c + 5", "y": "b + 17", "i": "y + 18", "g": "i + 20", "p": "g + 4", "a": "u + 12", "k": "a + 1", "h": "k + 2", "e": "h + 13", "z": "e + 3", "m": "z + 8", "u": 4}, "premises": {"u": 4}, "target": "p"}, "answer": {"steps": [["g", "i + 20", "i + 24"], ["i", "y + 18", "y + 42"], ["y", "b + 17", "b + 59"], ["b", "c + 5", "c + 64"], ["c", "u + 19", "u + 83"], ["u", 4, "87"]], "target_var_name": "p", "target_value": 87, "value_dict": {"u": 4}, "is_reverse": true}}
| 91
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 1; b = c + 5; p = g + 4; e = h + 13; h = k + 2; m = z + 8; a = u + 12; u = 4; g = i + 20; i = y + 18; c = u + 19; y = b + 17; z = e + 3. If u = 4, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 20 to p, which gives p = i + 24.\n2. Substitute i = y + 18 to p, which gives p = y + 42.\n3. Substitute y = b + 17 to p, which gives p = b + 59.\n4. Substitute b = c + 5 to p, which gives p = c + 64.\n5. Substitute c = u + 19 to p, which gives p = u + 83.\n6. Substitute u = 4 to p, which gives p = 87.\n\nThus, the final answer is p = \\boxed{87}.",
"index": 91,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 1; b = c + 5; p = g + 4; e = h + 13; h = k + 2; m = z + 8; a = u + 12; u = 4; g = i + 20; i = y + 18; c = u + 19; y = b + 17; z = e + 3. If u = 4, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"m": "k + 2", "i": "m + 3", "q": "i + 20", "w": "q + 17", "y": "w + 15", "j": "y + 19", "v": "k + 13", "g": "v + 19", "o": "g + 3", "z": "o + 12", "h": "z + 18", "c": "h + 20", "k": 13}, "premises": {"k": 13}, "target": "j"}, "answer": {"steps": [["y", "w + 15", "w + 34"], ["w", "q + 17", "q + 51"], ["q", "i + 20", "i + 71"], ["i", "m + 3", "m + 74"], ["m", "k + 2", "k + 76"], ["k", 13, "89"]], "target_var_name": "j", "target_value": 89, "value_dict": {"k": 13}, "is_reverse": true}}
| 92
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 20; m = k + 2; z = o + 12; j = y + 19; o = g + 3; v = k + 13; h = z + 18; i = m + 3; w = q + 17; q = i + 20; g = v + 19; y = w + 15; k = 13. Given that k = 13, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 15 to j, which gives j = w + 34.\n2. Substitute w = q + 17 to j, which gives j = q + 51.\n3. Substitute q = i + 20 to j, which gives j = i + 71.\n4. Substitute i = m + 3 to j, which gives j = m + 74.\n5. Substitute m = k + 2 to j, which gives j = k + 76.\n6. Substitute k = 13 to j, which gives j = 89.\n\nThus, the final answer is j = \\boxed{89}.",
"index": 92,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 20; m = k + 2; z = o + 12; j = y + 19; o = g + 3; v = k + 13; h = z + 18; i = m + 3; w = q + 17; q = i + 20; g = v + 19; y = w + 15; k = 13. Given that k = 13, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"d": "k + 2", "t": "d + 9", "h": "t + 11", "w": "h + 20", "y": "w + 16", "m": "y + 8", "c": "k + 16", "a": "c + 12", "g": "a + 9", "i": "g + 5", "q": "i + 17", "z": "q + 11", "k": 12}, "premises": {"k": 12}, "target": "m"}, "answer": {"steps": [["y", "w + 16", "w + 24"], ["w", "h + 20", "h + 44"], ["h", "t + 11", "t + 55"], ["t", "d + 9", "d + 64"], ["d", "k + 2", "k + 66"], ["k", 12, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"k": 12}, "is_reverse": true}}
| 93
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; d = k + 2; m = y + 8; t = d + 9; h = t + 11; i = g + 5; k = 12; a = c + 12; c = k + 16; y = w + 16; g = a + 9; q = i + 17; w = h + 20. If k = 12, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 16 to m, which gives m = w + 24.\n2. Substitute w = h + 20 to m, which gives m = h + 44.\n3. Substitute h = t + 11 to m, which gives m = t + 55.\n4. Substitute t = d + 9 to m, which gives m = d + 64.\n5. Substitute d = k + 2 to m, which gives m = k + 66.\n6. Substitute k = 12 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 93,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = q + 11; d = k + 2; m = y + 8; t = d + 9; h = t + 11; i = g + 5; k = 12; a = c + 12; c = k + 16; y = w + 16; g = a + 9; q = i + 17; w = h + 20. If k = 12, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 17", "k": "c + 11", "i": "k + 10", "m": "i + 2", "r": "m + 8", "b": "r + 16", "n": "a + 6", "v": "n + 1", "o": "v + 11", "x": "o + 2", "h": "x + 1", "g": "h + 14", "a": 20}, "premises": {"a": 20}, "target": "b"}, "answer": {"steps": [["r", "m + 8", "m + 24"], ["m", "i + 2", "i + 26"], ["i", "k + 10", "k + 36"], ["k", "c + 11", "c + 47"], ["c", "a + 17", "a + 64"], ["a", 20, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"a": 20}, "is_reverse": true}}
| 94
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 14; r = m + 8; o = v + 11; k = c + 11; h = x + 1; b = r + 16; x = o + 2; c = a + 17; m = i + 2; n = a + 6; i = k + 10; a = 20; v = n + 1. If a = 20, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 8 to b, which gives b = m + 24.\n2. Substitute m = i + 2 to b, which gives b = i + 26.\n3. Substitute i = k + 10 to b, which gives b = k + 36.\n4. Substitute k = c + 11 to b, which gives b = c + 47.\n5. Substitute c = a + 17 to b, which gives b = a + 64.\n6. Substitute a = 20 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 94,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 14; r = m + 8; o = v + 11; k = c + 11; h = x + 1; b = r + 16; x = o + 2; c = a + 17; m = i + 2; n = a + 6; i = k + 10; a = 20; v = n + 1. If a = 20, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "e + 5", "h": "s + 4", "d": "h + 4", "j": "d + 19", "u": "j + 18", "c": "u + 2", "y": "e + 11", "q": "y + 3", "i": "q + 5", "n": "i + 16", "w": "n + 10", "p": "w + 17", "e": 15}, "premises": {"e": 15}, "target": "c"}, "answer": {"steps": [["u", "j + 18", "j + 20"], ["j", "d + 19", "d + 39"], ["d", "h + 4", "h + 43"], ["h", "s + 4", "s + 47"], ["s", "e + 5", "e + 52"], ["e", 15, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"e": 15}, "is_reverse": true}}
| 95
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 5; j = d + 19; i = q + 5; u = j + 18; n = i + 16; p = w + 17; e = 15; w = n + 10; c = u + 2; q = y + 3; d = h + 4; y = e + 11; h = s + 4. If e = 15, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 18 to c, which gives c = j + 20.\n2. Substitute j = d + 19 to c, which gives c = d + 39.\n3. Substitute d = h + 4 to c, which gives c = h + 43.\n4. Substitute h = s + 4 to c, which gives c = s + 47.\n5. Substitute s = e + 5 to c, which gives c = e + 52.\n6. Substitute e = 15 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 95,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = e + 5; j = d + 19; i = q + 5; u = j + 18; n = i + 16; p = w + 17; e = 15; w = n + 10; c = u + 2; q = y + 3; d = h + 4; y = e + 11; h = s + 4. If e = 15, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 2", "z": "h + 10", "y": "z + 9", "e": "y + 5", "n": "e + 16", "p": "n + 1", "a": "c + 7", "t": "a + 19", "f": "t + 1", "u": "f + 1", "q": "u + 16", "j": "q + 4", "c": 19}, "premises": {"c": 19}, "target": "p"}, "answer": {"steps": [["n", "e + 16", "e + 17"], ["e", "y + 5", "y + 22"], ["y", "z + 9", "z + 31"], ["z", "h + 10", "h + 41"], ["h", "c + 2", "c + 43"], ["c", 19, "62"]], "target_var_name": "p", "target_value": 62, "value_dict": {"c": 19}, "is_reverse": true}}
| 96
| 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 = u + 16; y = z + 9; t = a + 19; c = 19; h = c + 2; a = c + 7; n = e + 16; z = h + 10; f = t + 1; e = y + 5; u = f + 1; j = q + 4; p = n + 1. If c = 19, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 16 to p, which gives p = e + 17.\n2. Substitute e = y + 5 to p, which gives p = y + 22.\n3. Substitute y = z + 9 to p, which gives p = z + 31.\n4. Substitute z = h + 10 to p, which gives p = h + 41.\n5. Substitute h = c + 2 to p, which gives p = c + 43.\n6. Substitute c = 19 to p, which gives p = 62.\n\nThus, the final answer is p = \\boxed{62}.",
"index": 96,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = u + 16; y = z + 9; t = a + 19; c = 19; h = c + 2; a = c + 7; n = e + 16; z = h + 10; f = t + 1; e = y + 5; u = f + 1; j = q + 4; p = n + 1. If c = 19, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 18", "b": "g + 3", "z": "b + 11", "e": "z + 8", "l": "e + 3", "t": "l + 1", "w": "f + 5", "a": "w + 8", "u": "a + 18", "k": "u + 4", "p": "k + 20", "i": "p + 20", "f": 19}, "premises": {"f": 19}, "target": "t"}, "answer": {"steps": [["l", "e + 3", "e + 4"], ["e", "z + 8", "z + 12"], ["z", "b + 11", "b + 23"], ["b", "g + 3", "g + 26"], ["g", "f + 18", "f + 44"], ["f", 19, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"f": 19}, "is_reverse": true}}
| 97
| 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 = w + 8; p = k + 20; e = z + 8; b = g + 3; u = a + 18; l = e + 3; w = f + 5; i = p + 20; z = b + 11; g = f + 18; t = l + 1; k = u + 4; f = 19. If f = 19, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 3 to t, which gives t = e + 4.\n2. Substitute e = z + 8 to t, which gives t = z + 12.\n3. Substitute z = b + 11 to t, which gives t = b + 23.\n4. Substitute b = g + 3 to t, which gives t = g + 26.\n5. Substitute g = f + 18 to t, which gives t = f + 44.\n6. Substitute f = 19 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 97,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 8; p = k + 20; e = z + 8; b = g + 3; u = a + 18; l = e + 3; w = f + 5; i = p + 20; z = b + 11; g = f + 18; t = l + 1; k = u + 4; f = 19. If f = 19, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"v": "m + 7", "u": "v + 18", "r": "u + 18", "q": "r + 18", "j": "q + 17", "l": "j + 7", "y": "m + 14", "p": "y + 17", "f": "p + 7", "t": "f + 8", "x": "t + 12", "c": "x + 5", "m": 18}, "premises": {"m": 18}, "target": "l"}, "answer": {"steps": [["j", "q + 17", "q + 24"], ["q", "r + 18", "r + 42"], ["r", "u + 18", "u + 60"], ["u", "v + 18", "v + 78"], ["v", "m + 7", "m + 85"], ["m", 18, "103"]], "target_var_name": "l", "target_value": 103, "value_dict": {"m": 18}, "is_reverse": true}}
| 98
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = v + 18; p = y + 17; f = p + 7; m = 18; x = t + 12; t = f + 8; q = r + 18; l = j + 7; v = m + 7; y = m + 14; r = u + 18; c = x + 5; j = q + 17. Given that m = 18, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = q + 17 to l, which gives l = q + 24.\n2. Substitute q = r + 18 to l, which gives l = r + 42.\n3. Substitute r = u + 18 to l, which gives l = u + 60.\n4. Substitute u = v + 18 to l, which gives l = v + 78.\n5. Substitute v = m + 7 to l, which gives l = m + 85.\n6. Substitute m = 18 to l, which gives l = 103.\n\nThus, the final answer is l = \\boxed{103}.",
"index": 98,
"question": "Suppose a collection of variables is related by the following definitions: u = v + 18; p = y + 17; f = p + 7; m = 18; x = t + 12; t = f + 8; q = r + 18; l = j + 7; v = m + 7; y = m + 14; r = u + 18; c = x + 5; j = q + 17. Given that m = 18, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 14", "j": "c + 15", "z": "j + 4", "f": "z + 13", "v": "f + 16", "s": "v + 15", "i": "m + 19", "g": "i + 14", "r": "g + 17", "k": "r + 11", "d": "k + 1", "t": "d + 6", "m": 6}, "premises": {"m": 6}, "target": "s"}, "answer": {"steps": [["v", "f + 16", "f + 31"], ["f", "z + 13", "z + 44"], ["z", "j + 4", "j + 48"], ["j", "c + 15", "c + 63"], ["c", "m + 14", "m + 77"], ["m", 6, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"m": 6}, "is_reverse": true}}
| 99
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = d + 6; j = c + 15; g = i + 14; k = r + 11; z = j + 4; r = g + 17; m = 6; i = m + 19; d = k + 1; c = m + 14; v = f + 16; s = v + 15; f = z + 13. Given that m = 6, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = f + 16 to s, which gives s = f + 31.\n2. Substitute f = z + 13 to s, which gives s = z + 44.\n3. Substitute z = j + 4 to s, which gives s = j + 48.\n4. Substitute j = c + 15 to s, which gives s = c + 63.\n5. Substitute c = m + 14 to s, which gives s = m + 77.\n6. Substitute m = 6 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 99,
"question": "Suppose a collection of variables is related by the following definitions: t = d + 6; j = c + 15; g = i + 14; k = r + 11; z = j + 4; r = g + 17; m = 6; i = m + 19; d = k + 1; c = m + 14; v = f + 16; s = v + 15; f = z + 13. Given that m = 6, find the value of s.",
"split": "train"
}
|
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