meta
stringlengths 493
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25.6k
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int64 0
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stringclasses 1
value | data_source
stringclasses 1
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listlengths 1
1
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stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"o": "i + 2", "w": "o + 18", "n": "w + 12", "b": "n + 5", "h": "b + 3", "l": "h + 2", "t": "i + 8", "d": "t + 14", "g": "d + 15", "e": "g + 18", "s": "e + 6", "c": "s + 6", "i": 15}, "premises": {"i": 15}, "target": "l"}, "answer": {"steps": [["h", "b + 3", "b + 5"], ["b", "n + 5", "n + 10"], ["n", "w + 12", "w + 22"], ["w", "o + 18", "o + 40"], ["o", "i + 2", "i + 42"], ["i", 15, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"i": 15}, "is_reverse": true}}
| 1,500
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 18; e = g + 18; t = i + 8; b = n + 5; h = b + 3; g = d + 15; s = e + 6; c = s + 6; d = t + 14; l = h + 2; i = 15; o = i + 2; n = w + 12. If i = 15, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 3 to l, which gives l = b + 5.\n2. Substitute b = n + 5 to l, which gives l = n + 10.\n3. Substitute n = w + 12 to l, which gives l = w + 22.\n4. Substitute w = o + 18 to l, which gives l = o + 40.\n5. Substitute o = i + 2 to l, which gives l = i + 42.\n6. Substitute i = 15 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 1500,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 18; e = g + 18; t = i + 8; b = n + 5; h = b + 3; g = d + 15; s = e + 6; c = s + 6; d = t + 14; l = h + 2; i = 15; o = i + 2; n = w + 12. If i = 15, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 9", "b": "p + 9", "w": "b + 20", "d": "w + 9", "a": "d + 11", "l": "a + 17", "s": "g + 12", "h": "s + 9", "u": "h + 5", "k": "u + 19", "t": "k + 9", "m": "t + 12", "g": 4}, "premises": {"g": 4}, "target": "l"}, "answer": {"steps": [["a", "d + 11", "d + 28"], ["d", "w + 9", "w + 37"], ["w", "b + 20", "b + 57"], ["b", "p + 9", "p + 66"], ["p", "g + 9", "g + 75"], ["g", 4, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"g": 4}, "is_reverse": true}}
| 1,501
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = s + 9; m = t + 12; k = u + 19; b = p + 9; a = d + 11; s = g + 12; g = 4; u = h + 5; w = b + 20; t = k + 9; l = a + 17; d = w + 9; p = g + 9. If g = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 11 to l, which gives l = d + 28.\n2. Substitute d = w + 9 to l, which gives l = w + 37.\n3. Substitute w = b + 20 to l, which gives l = b + 57.\n4. Substitute b = p + 9 to l, which gives l = p + 66.\n5. Substitute p = g + 9 to l, which gives l = g + 75.\n6. Substitute g = 4 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 1501,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 9; m = t + 12; k = u + 19; b = p + 9; a = d + 11; s = g + 12; g = 4; u = h + 5; w = b + 20; t = k + 9; l = a + 17; d = w + 9; p = g + 9. If g = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 17", "w": "u + 2", "v": "w + 3", "l": "v + 17", "k": "l + 18", "t": "k + 14", "g": "b + 14", "s": "g + 17", "y": "s + 2", "r": "y + 18", "o": "r + 3", "i": "o + 15", "b": 6}, "premises": {"b": 6}, "target": "t"}, "answer": {"steps": [["k", "l + 18", "l + 32"], ["l", "v + 17", "v + 49"], ["v", "w + 3", "w + 52"], ["w", "u + 2", "u + 54"], ["u", "b + 17", "b + 71"], ["b", 6, "77"]], "target_var_name": "t", "target_value": 77, "value_dict": {"b": 6}, "is_reverse": true}}
| 1,502
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 3; i = o + 15; g = b + 14; t = k + 14; s = g + 17; l = v + 17; k = l + 18; b = 6; y = s + 2; r = y + 18; v = w + 3; w = u + 2; u = b + 17. If b = 6, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 18 to t, which gives t = l + 32.\n2. Substitute l = v + 17 to t, which gives t = v + 49.\n3. Substitute v = w + 3 to t, which gives t = w + 52.\n4. Substitute w = u + 2 to t, which gives t = u + 54.\n5. Substitute u = b + 17 to t, which gives t = b + 71.\n6. Substitute b = 6 to t, which gives t = 77.\n\nThus, the final answer is t = \\boxed{77}.",
"index": 1502,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 3; i = o + 15; g = b + 14; t = k + 14; s = g + 17; l = v + 17; k = l + 18; b = 6; y = s + 2; r = y + 18; v = w + 3; w = u + 2; u = b + 17. If b = 6, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 8", "j": "p + 7", "f": "j + 16", "b": "f + 10", "q": "b + 18", "w": "q + 3", "a": "e + 18", "r": "a + 5", "u": "r + 3", "h": "u + 13", "n": "h + 10", "k": "n + 1", "e": 2}, "premises": {"e": 2}, "target": "w"}, "answer": {"steps": [["q", "b + 18", "b + 21"], ["b", "f + 10", "f + 31"], ["f", "j + 16", "j + 47"], ["j", "p + 7", "p + 54"], ["p", "e + 8", "e + 62"], ["e", 2, "64"]], "target_var_name": "w", "target_value": 64, "value_dict": {"e": 2}, "is_reverse": true}}
| 1,503
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = r + 3; p = e + 8; n = h + 10; f = j + 16; r = a + 5; j = p + 7; a = e + 18; w = q + 3; e = 2; k = n + 1; q = b + 18; b = f + 10; h = u + 13. Given that e = 2, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 18 to w, which gives w = b + 21.\n2. Substitute b = f + 10 to w, which gives w = f + 31.\n3. Substitute f = j + 16 to w, which gives w = j + 47.\n4. Substitute j = p + 7 to w, which gives w = p + 54.\n5. Substitute p = e + 8 to w, which gives w = e + 62.\n6. Substitute e = 2 to w, which gives w = 64.\n\nThus, the final answer is w = \\boxed{64}.",
"index": 1503,
"question": "Suppose a collection of variables is related by the following definitions: u = r + 3; p = e + 8; n = h + 10; f = j + 16; r = a + 5; j = p + 7; a = e + 18; w = q + 3; e = 2; k = n + 1; q = b + 18; b = f + 10; h = u + 13. Given that e = 2, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 9", "z": "f + 9", "a": "z + 17", "w": "a + 6", "e": "w + 2", "h": "e + 8", "v": "q + 4", "k": "v + 8", "u": "k + 15", "p": "u + 14", "l": "p + 7", "m": "l + 1", "q": 8}, "premises": {"q": 8}, "target": "h"}, "answer": {"steps": [["e", "w + 2", "w + 10"], ["w", "a + 6", "a + 16"], ["a", "z + 17", "z + 33"], ["z", "f + 9", "f + 42"], ["f", "q + 9", "q + 51"], ["q", 8, "59"]], "target_var_name": "h", "target_value": 59, "value_dict": {"q": 8}, "is_reverse": true}}
| 1,504
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 6; z = f + 9; m = l + 1; v = q + 4; e = w + 2; k = v + 8; l = p + 7; a = z + 17; p = u + 14; h = e + 8; q = 8; f = q + 9; u = k + 15. If q = 8, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 2 to h, which gives h = w + 10.\n2. Substitute w = a + 6 to h, which gives h = a + 16.\n3. Substitute a = z + 17 to h, which gives h = z + 33.\n4. Substitute z = f + 9 to h, which gives h = f + 42.\n5. Substitute f = q + 9 to h, which gives h = q + 51.\n6. Substitute q = 8 to h, which gives h = 59.\n\nThus, the final answer is h = \\boxed{59}.",
"index": 1504,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 6; z = f + 9; m = l + 1; v = q + 4; e = w + 2; k = v + 8; l = p + 7; a = z + 17; p = u + 14; h = e + 8; q = 8; f = q + 9; u = k + 15. If q = 8, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"c": "w + 8", "v": "c + 8", "i": "v + 8", "h": "i + 8", "x": "h + 14", "a": "x + 17", "q": "w + 4", "l": "q + 15", "f": "l + 9", "m": "f + 9", "d": "m + 8", "e": "d + 16", "w": 4}, "premises": {"w": 4}, "target": "a"}, "answer": {"steps": [["x", "h + 14", "h + 31"], ["h", "i + 8", "i + 39"], ["i", "v + 8", "v + 47"], ["v", "c + 8", "c + 55"], ["c", "w + 8", "w + 63"], ["w", 4, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"w": 4}, "is_reverse": true}}
| 1,505
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = l + 9; h = i + 8; v = c + 8; i = v + 8; l = q + 15; x = h + 14; q = w + 4; m = f + 9; d = m + 8; c = w + 8; a = x + 17; e = d + 16; w = 4. If w = 4, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 14 to a, which gives a = h + 31.\n2. Substitute h = i + 8 to a, which gives a = i + 39.\n3. Substitute i = v + 8 to a, which gives a = v + 47.\n4. Substitute v = c + 8 to a, which gives a = c + 55.\n5. Substitute c = w + 8 to a, which gives a = w + 63.\n6. Substitute w = 4 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 1505,
"question": "Consider a system of variables where each variable is defined as follows: f = l + 9; h = i + 8; v = c + 8; i = v + 8; l = q + 15; x = h + 14; q = w + 4; m = f + 9; d = m + 8; c = w + 8; a = x + 17; e = d + 16; w = 4. If w = 4, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"n": "l + 5", "s": "n + 18", "o": "s + 8", "x": "o + 20", "j": "x + 7", "m": "j + 11", "r": "l + 1", "z": "r + 19", "h": "z + 5", "p": "h + 5", "k": "p + 4", "u": "k + 10", "l": 2}, "premises": {"l": 2}, "target": "m"}, "answer": {"steps": [["j", "x + 7", "x + 18"], ["x", "o + 20", "o + 38"], ["o", "s + 8", "s + 46"], ["s", "n + 18", "n + 64"], ["n", "l + 5", "l + 69"], ["l", 2, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"l": 2}, "is_reverse": true}}
| 1,506
| 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 = l + 5; p = h + 5; h = z + 5; m = j + 11; u = k + 10; o = s + 8; s = n + 18; j = x + 7; z = r + 19; l = 2; k = p + 4; r = l + 1; x = o + 20. If l = 2, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 7 to m, which gives m = x + 18.\n2. Substitute x = o + 20 to m, which gives m = o + 38.\n3. Substitute o = s + 8 to m, which gives m = s + 46.\n4. Substitute s = n + 18 to m, which gives m = n + 64.\n5. Substitute n = l + 5 to m, which gives m = l + 69.\n6. Substitute l = 2 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 1506,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = l + 5; p = h + 5; h = z + 5; m = j + 11; u = k + 10; o = s + 8; s = n + 18; j = x + 7; z = r + 19; l = 2; k = p + 4; r = l + 1; x = o + 20. If l = 2, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 12", "i": "v + 17", "f": "i + 7", "k": "f + 12", "n": "k + 3", "r": "n + 15", "b": "y + 20", "l": "b + 20", "u": "l + 4", "e": "u + 15", "h": "e + 19", "m": "h + 20", "y": 17}, "premises": {"y": 17}, "target": "r"}, "answer": {"steps": [["n", "k + 3", "k + 18"], ["k", "f + 12", "f + 30"], ["f", "i + 7", "i + 37"], ["i", "v + 17", "v + 54"], ["v", "y + 12", "y + 66"], ["y", 17, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"y": 17}, "is_reverse": true}}
| 1,507
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 20; k = f + 12; l = b + 20; m = h + 20; v = y + 12; y = 17; r = n + 15; h = e + 19; i = v + 17; f = i + 7; n = k + 3; e = u + 15; u = l + 4. If y = 17, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 3 to r, which gives r = k + 18.\n2. Substitute k = f + 12 to r, which gives r = f + 30.\n3. Substitute f = i + 7 to r, which gives r = i + 37.\n4. Substitute i = v + 17 to r, which gives r = v + 54.\n5. Substitute v = y + 12 to r, which gives r = y + 66.\n6. Substitute y = 17 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 1507,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 20; k = f + 12; l = b + 20; m = h + 20; v = y + 12; y = 17; r = n + 15; h = e + 19; i = v + 17; f = i + 7; n = k + 3; e = u + 15; u = l + 4. If y = 17, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "z + 4", "w": "b + 9", "o": "w + 13", "j": "o + 14", "x": "j + 9", "r": "x + 2", "k": "z + 15", "l": "k + 12", "i": "l + 7", "d": "i + 9", "g": "d + 12", "t": "g + 3", "z": 16}, "premises": {"z": 16}, "target": "r"}, "answer": {"steps": [["x", "j + 9", "j + 11"], ["j", "o + 14", "o + 25"], ["o", "w + 13", "w + 38"], ["w", "b + 9", "b + 47"], ["b", "z + 4", "z + 51"], ["z", 16, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,508
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = k + 12; t = g + 3; x = j + 9; w = b + 9; z = 16; o = w + 13; b = z + 4; d = i + 9; g = d + 12; k = z + 15; i = l + 7; j = o + 14; r = x + 2. If z = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 9 to r, which gives r = j + 11.\n2. Substitute j = o + 14 to r, which gives r = o + 25.\n3. Substitute o = w + 13 to r, which gives r = w + 38.\n4. Substitute w = b + 9 to r, which gives r = b + 47.\n5. Substitute b = z + 4 to r, which gives r = z + 51.\n6. Substitute z = 16 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 1508,
"question": "Consider a system of variables where each variable is defined as follows: l = k + 12; t = g + 3; x = j + 9; w = b + 9; z = 16; o = w + 13; b = z + 4; d = i + 9; g = d + 12; k = z + 15; i = l + 7; j = o + 14; r = x + 2. If z = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 19", "v": "h + 10", "p": "v + 4", "d": "p + 2", "u": "d + 19", "l": "u + 10", "z": "o + 20", "a": "z + 16", "g": "a + 13", "q": "g + 9", "s": "q + 19", "i": "s + 19", "o": 6}, "premises": {"o": 6}, "target": "l"}, "answer": {"steps": [["u", "d + 19", "d + 29"], ["d", "p + 2", "p + 31"], ["p", "v + 4", "v + 35"], ["v", "h + 10", "h + 45"], ["h", "o + 19", "o + 64"], ["o", 6, "70"]], "target_var_name": "l", "target_value": 70, "value_dict": {"o": 6}, "is_reverse": true}}
| 1,509
| 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 = h + 10; s = q + 19; a = z + 16; q = g + 9; z = o + 20; l = u + 10; g = a + 13; u = d + 19; h = o + 19; p = v + 4; i = s + 19; d = p + 2; o = 6. If o = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 19 to l, which gives l = d + 29.\n2. Substitute d = p + 2 to l, which gives l = p + 31.\n3. Substitute p = v + 4 to l, which gives l = v + 35.\n4. Substitute v = h + 10 to l, which gives l = h + 45.\n5. Substitute h = o + 19 to l, which gives l = o + 64.\n6. Substitute o = 6 to l, which gives l = 70.\n\nThus, the final answer is l = \\boxed{70}.",
"index": 1509,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = h + 10; s = q + 19; a = z + 16; q = g + 9; z = o + 20; l = u + 10; g = a + 13; u = d + 19; h = o + 19; p = v + 4; i = s + 19; d = p + 2; o = 6. If o = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"h": "f + 16", "g": "h + 8", "t": "g + 16", "e": "t + 17", "u": "e + 12", "s": "u + 1", "n": "f + 5", "r": "n + 18", "v": "r + 10", "o": "v + 17", "c": "o + 2", "z": "c + 19", "f": 15}, "premises": {"f": 15}, "target": "s"}, "answer": {"steps": [["u", "e + 12", "e + 13"], ["e", "t + 17", "t + 30"], ["t", "g + 16", "g + 46"], ["g", "h + 8", "h + 54"], ["h", "f + 16", "f + 70"], ["f", 15, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"f": 15}, "is_reverse": true}}
| 1,510
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 15; z = c + 19; r = n + 18; v = r + 10; c = o + 2; t = g + 16; s = u + 1; n = f + 5; o = v + 17; u = e + 12; e = t + 17; h = f + 16; g = h + 8. If f = 15, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = e + 12 to s, which gives s = e + 13.\n2. Substitute e = t + 17 to s, which gives s = t + 30.\n3. Substitute t = g + 16 to s, which gives s = g + 46.\n4. Substitute g = h + 8 to s, which gives s = h + 54.\n5. Substitute h = f + 16 to s, which gives s = f + 70.\n6. Substitute f = 15 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 1510,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 15; z = c + 19; r = n + 18; v = r + 10; c = o + 2; t = g + 16; s = u + 1; n = f + 5; o = v + 17; u = e + 12; e = t + 17; h = f + 16; g = h + 8. If f = 15, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"v": "b + 15", "f": "v + 16", "r": "f + 3", "g": "r + 6", "s": "g + 15", "i": "s + 1", "a": "b + 11", "j": "a + 3", "z": "j + 9", "m": "z + 5", "e": "m + 7", "k": "e + 2", "b": 13}, "premises": {"b": 13}, "target": "i"}, "answer": {"steps": [["s", "g + 15", "g + 16"], ["g", "r + 6", "r + 22"], ["r", "f + 3", "f + 25"], ["f", "v + 16", "v + 41"], ["v", "b + 15", "b + 56"], ["b", 13, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"b": 13}, "is_reverse": true}}
| 1,511
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = s + 1; j = a + 3; f = v + 16; z = j + 9; b = 13; k = e + 2; e = m + 7; r = f + 3; a = b + 11; v = b + 15; s = g + 15; g = r + 6; m = z + 5. If b = 13, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 15 to i, which gives i = g + 16.\n2. Substitute g = r + 6 to i, which gives i = r + 22.\n3. Substitute r = f + 3 to i, which gives i = f + 25.\n4. Substitute f = v + 16 to i, which gives i = v + 41.\n5. Substitute v = b + 15 to i, which gives i = b + 56.\n6. Substitute b = 13 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 1511,
"question": "Consider a system of variables where each variable is defined as follows: i = s + 1; j = a + 3; f = v + 16; z = j + 9; b = 13; k = e + 2; e = m + 7; r = f + 3; a = b + 11; v = b + 15; s = g + 15; g = r + 6; m = z + 5. If b = 13, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"w": "h + 2", "t": "w + 6", "d": "t + 18", "a": "d + 10", "b": "a + 2", "p": "b + 3", "m": "h + 1", "s": "m + 20", "z": "s + 4", "f": "z + 14", "g": "f + 14", "j": "g + 20", "h": 14}, "premises": {"h": 14}, "target": "p"}, "answer": {"steps": [["b", "a + 2", "a + 5"], ["a", "d + 10", "d + 15"], ["d", "t + 18", "t + 33"], ["t", "w + 6", "w + 39"], ["w", "h + 2", "h + 41"], ["h", 14, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"h": 14}, "is_reverse": true}}
| 1,512
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 14; a = d + 10; d = t + 18; p = b + 3; z = s + 4; m = h + 1; b = a + 2; t = w + 6; f = z + 14; h = 14; w = h + 2; j = g + 20; s = m + 20. If h = 14, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 2 to p, which gives p = a + 5.\n2. Substitute a = d + 10 to p, which gives p = d + 15.\n3. Substitute d = t + 18 to p, which gives p = t + 33.\n4. Substitute t = w + 6 to p, which gives p = w + 39.\n5. Substitute w = h + 2 to p, which gives p = h + 41.\n6. Substitute h = 14 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 1512,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 14; a = d + 10; d = t + 18; p = b + 3; z = s + 4; m = h + 1; b = a + 2; t = w + 6; f = z + 14; h = 14; w = h + 2; j = g + 20; s = m + 20. If h = 14, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 3", "d": "a + 2", "f": "d + 20", "p": "f + 14", "x": "p + 10", "b": "x + 13", "n": "q + 11", "l": "n + 19", "c": "l + 14", "e": "c + 8", "j": "e + 7", "s": "j + 4", "q": 1}, "premises": {"q": 1}, "target": "b"}, "answer": {"steps": [["x", "p + 10", "p + 23"], ["p", "f + 14", "f + 37"], ["f", "d + 20", "d + 57"], ["d", "a + 2", "a + 59"], ["a", "q + 3", "q + 62"], ["q", 1, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"q": 1}, "is_reverse": true}}
| 1,513
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = q + 11; s = j + 4; p = f + 14; c = l + 14; d = a + 2; e = c + 8; l = n + 19; b = x + 13; j = e + 7; x = p + 10; f = d + 20; q = 1; a = q + 3. Given that q = 1, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 10 to b, which gives b = p + 23.\n2. Substitute p = f + 14 to b, which gives b = f + 37.\n3. Substitute f = d + 20 to b, which gives b = d + 57.\n4. Substitute d = a + 2 to b, which gives b = a + 59.\n5. Substitute a = q + 3 to b, which gives b = q + 62.\n6. Substitute q = 1 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 1513,
"question": "Suppose a collection of variables is related by the following definitions: n = q + 11; s = j + 4; p = f + 14; c = l + 14; d = a + 2; e = c + 8; l = n + 19; b = x + 13; j = e + 7; x = p + 10; f = d + 20; q = 1; a = q + 3. Given that q = 1, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"c": "j + 20", "e": "c + 4", "d": "e + 18", "z": "d + 3", "x": "z + 1", "n": "x + 19", "m": "j + 11", "t": "m + 5", "k": "t + 2", "a": "k + 11", "q": "a + 15", "i": "q + 20", "j": 17}, "premises": {"j": 17}, "target": "n"}, "answer": {"steps": [["x", "z + 1", "z + 20"], ["z", "d + 3", "d + 23"], ["d", "e + 18", "e + 41"], ["e", "c + 4", "c + 45"], ["c", "j + 20", "j + 65"], ["j", 17, "82"]], "target_var_name": "n", "target_value": 82, "value_dict": {"j": 17}, "is_reverse": true}}
| 1,514
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 2; t = m + 5; a = k + 11; j = 17; d = e + 18; x = z + 1; m = j + 11; q = a + 15; n = x + 19; e = c + 4; i = q + 20; z = d + 3; c = j + 20. Given that j = 17, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 1 to n, which gives n = z + 20.\n2. Substitute z = d + 3 to n, which gives n = d + 23.\n3. Substitute d = e + 18 to n, which gives n = e + 41.\n4. Substitute e = c + 4 to n, which gives n = c + 45.\n5. Substitute c = j + 20 to n, which gives n = j + 65.\n6. Substitute j = 17 to n, which gives n = 82.\n\nThus, the final answer is n = \\boxed{82}.",
"index": 1514,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 2; t = m + 5; a = k + 11; j = 17; d = e + 18; x = z + 1; m = j + 11; q = a + 15; n = x + 19; e = c + 4; i = q + 20; z = d + 3; c = j + 20. Given that j = 17, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 19", "q": "j + 16", "z": "q + 16", "e": "z + 2", "b": "e + 20", "n": "b + 10", "s": "r + 20", "c": "s + 1", "x": "c + 17", "i": "x + 12", "a": "i + 15", "t": "a + 4", "r": 11}, "premises": {"r": 11}, "target": "n"}, "answer": {"steps": [["b", "e + 20", "e + 30"], ["e", "z + 2", "z + 32"], ["z", "q + 16", "q + 48"], ["q", "j + 16", "j + 64"], ["j", "r + 19", "r + 83"], ["r", 11, "94"]], "target_var_name": "n", "target_value": 94, "value_dict": {"r": 11}, "is_reverse": true}}
| 1,515
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = s + 1; z = q + 16; e = z + 2; x = c + 17; n = b + 10; b = e + 20; j = r + 19; r = 11; s = r + 20; i = x + 12; t = a + 4; q = j + 16; a = i + 15. If r = 11, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = e + 20 to n, which gives n = e + 30.\n2. Substitute e = z + 2 to n, which gives n = z + 32.\n3. Substitute z = q + 16 to n, which gives n = q + 48.\n4. Substitute q = j + 16 to n, which gives n = j + 64.\n5. Substitute j = r + 19 to n, which gives n = r + 83.\n6. Substitute r = 11 to n, which gives n = 94.\n\nThus, the final answer is n = \\boxed{94}.",
"index": 1515,
"question": "Consider a system of variables where each variable is defined as follows: c = s + 1; z = q + 16; e = z + 2; x = c + 17; n = b + 10; b = e + 20; j = r + 19; r = 11; s = r + 20; i = x + 12; t = a + 4; q = j + 16; a = i + 15. If r = 11, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"w": "r + 10", "h": "w + 14", "x": "h + 19", "s": "x + 10", "g": "s + 10", "u": "g + 19", "p": "r + 6", "e": "p + 10", "f": "e + 14", "n": "f + 7", "q": "n + 20", "o": "q + 12", "r": 5}, "premises": {"r": 5}, "target": "u"}, "answer": {"steps": [["g", "s + 10", "s + 29"], ["s", "x + 10", "x + 39"], ["x", "h + 19", "h + 58"], ["h", "w + 14", "w + 72"], ["w", "r + 10", "r + 82"], ["r", 5, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"r": 5}, "is_reverse": true}}
| 1,516
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 10; q = n + 20; x = h + 19; f = e + 14; g = s + 10; h = w + 14; e = p + 10; r = 5; o = q + 12; p = r + 6; u = g + 19; n = f + 7; w = r + 10. If r = 5, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 10 to u, which gives u = s + 29.\n2. Substitute s = x + 10 to u, which gives u = x + 39.\n3. Substitute x = h + 19 to u, which gives u = h + 58.\n4. Substitute h = w + 14 to u, which gives u = w + 72.\n5. Substitute w = r + 10 to u, which gives u = r + 82.\n6. Substitute r = 5 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 1516,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 10; q = n + 20; x = h + 19; f = e + 14; g = s + 10; h = w + 14; e = p + 10; r = 5; o = q + 12; p = r + 6; u = g + 19; n = f + 7; w = r + 10. If r = 5, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "r + 3", "k": "g + 3", "e": "k + 15", "d": "e + 3", "o": "d + 2", "j": "o + 18", "w": "r + 17", "n": "w + 18", "a": "n + 3", "y": "a + 4", "x": "y + 12", "l": "x + 5", "r": 3}, "premises": {"r": 3}, "target": "j"}, "answer": {"steps": [["o", "d + 2", "d + 20"], ["d", "e + 3", "e + 23"], ["e", "k + 15", "k + 38"], ["k", "g + 3", "g + 41"], ["g", "r + 3", "r + 44"], ["r", 3, "47"]], "target_var_name": "j", "target_value": 47, "value_dict": {"r": 3}, "is_reverse": true}}
| 1,517
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 3; o = d + 2; d = e + 3; r = 3; e = k + 15; y = a + 4; l = x + 5; g = r + 3; a = n + 3; x = y + 12; n = w + 18; w = r + 17; j = o + 18. If r = 3, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 2 to j, which gives j = d + 20.\n2. Substitute d = e + 3 to j, which gives j = e + 23.\n3. Substitute e = k + 15 to j, which gives j = k + 38.\n4. Substitute k = g + 3 to j, which gives j = g + 41.\n5. Substitute g = r + 3 to j, which gives j = r + 44.\n6. Substitute r = 3 to j, which gives j = 47.\n\nThus, the final answer is j = \\boxed{47}.",
"index": 1517,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 3; o = d + 2; d = e + 3; r = 3; e = k + 15; y = a + 4; l = x + 5; g = r + 3; a = n + 3; x = y + 12; n = w + 18; w = r + 17; j = o + 18. If r = 3, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 1", "p": "f + 16", "u": "p + 13", "r": "u + 14", "k": "r + 9", "b": "k + 9", "j": "g + 13", "z": "j + 20", "l": "z + 9", "n": "l + 7", "h": "n + 6", "w": "h + 20", "g": 8}, "premises": {"g": 8}, "target": "b"}, "answer": {"steps": [["k", "r + 9", "r + 18"], ["r", "u + 14", "u + 32"], ["u", "p + 13", "p + 45"], ["p", "f + 16", "f + 61"], ["f", "g + 1", "g + 62"], ["g", 8, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"g": 8}, "is_reverse": true}}
| 1,518
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 16; j = g + 13; k = r + 9; g = 8; u = p + 13; b = k + 9; z = j + 20; n = l + 7; f = g + 1; r = u + 14; l = z + 9; w = h + 20; h = n + 6. Given that g = 8, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = r + 9 to b, which gives b = r + 18.\n2. Substitute r = u + 14 to b, which gives b = u + 32.\n3. Substitute u = p + 13 to b, which gives b = p + 45.\n4. Substitute p = f + 16 to b, which gives b = f + 61.\n5. Substitute f = g + 1 to b, which gives b = g + 62.\n6. Substitute g = 8 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 1518,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 16; j = g + 13; k = r + 9; g = 8; u = p + 13; b = k + 9; z = j + 20; n = l + 7; f = g + 1; r = u + 14; l = z + 9; w = h + 20; h = n + 6. Given that g = 8, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"u": "g + 16", "i": "u + 6", "d": "i + 8", "b": "d + 11", "t": "b + 3", "y": "t + 2", "o": "g + 8", "f": "o + 1", "q": "f + 16", "n": "q + 13", "j": "n + 8", "x": "j + 16", "g": 5}, "premises": {"g": 5}, "target": "y"}, "answer": {"steps": [["t", "b + 3", "b + 5"], ["b", "d + 11", "d + 16"], ["d", "i + 8", "i + 24"], ["i", "u + 6", "u + 30"], ["u", "g + 16", "g + 46"], ["g", 5, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"g": 5}, "is_reverse": true}}
| 1,519
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 8; y = t + 2; i = u + 6; d = i + 8; g = 5; t = b + 3; f = o + 1; o = g + 8; b = d + 11; u = g + 16; n = q + 13; x = j + 16; q = f + 16. Given that g = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = b + 3 to y, which gives y = b + 5.\n2. Substitute b = d + 11 to y, which gives y = d + 16.\n3. Substitute d = i + 8 to y, which gives y = i + 24.\n4. Substitute i = u + 6 to y, which gives y = u + 30.\n5. Substitute u = g + 16 to y, which gives y = g + 46.\n6. Substitute g = 5 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 1519,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 8; y = t + 2; i = u + 6; d = i + 8; g = 5; t = b + 3; f = o + 1; o = g + 8; b = d + 11; u = g + 16; n = q + 13; x = j + 16; q = f + 16. Given that g = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 1", "e": "s + 2", "w": "e + 19", "b": "w + 20", "z": "b + 11", "a": "z + 3", "o": "q + 19", "j": "o + 13", "n": "j + 8", "v": "n + 18", "r": "v + 6", "c": "r + 18", "q": 2}, "premises": {"q": 2}, "target": "a"}, "answer": {"steps": [["z", "b + 11", "b + 14"], ["b", "w + 20", "w + 34"], ["w", "e + 19", "e + 53"], ["e", "s + 2", "s + 55"], ["s", "q + 1", "q + 56"], ["q", 2, "58"]], "target_var_name": "a", "target_value": 58, "value_dict": {"q": 2}, "is_reverse": true}}
| 1,520
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 3; v = n + 18; e = s + 2; w = e + 19; q = 2; z = b + 11; j = o + 13; o = q + 19; r = v + 6; s = q + 1; n = j + 8; c = r + 18; b = w + 20. If q = 2, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 11 to a, which gives a = b + 14.\n2. Substitute b = w + 20 to a, which gives a = w + 34.\n3. Substitute w = e + 19 to a, which gives a = e + 53.\n4. Substitute e = s + 2 to a, which gives a = s + 55.\n5. Substitute s = q + 1 to a, which gives a = q + 56.\n6. Substitute q = 2 to a, which gives a = 58.\n\nThus, the final answer is a = \\boxed{58}.",
"index": 1520,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 3; v = n + 18; e = s + 2; w = e + 19; q = 2; z = b + 11; j = o + 13; o = q + 19; r = v + 6; s = q + 1; n = j + 8; c = r + 18; b = w + 20. If q = 2, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 9", "e": "g + 2", "f": "e + 2", "p": "f + 16", "d": "p + 14", "t": "d + 12", "h": "s + 15", "l": "h + 13", "c": "l + 10", "n": "c + 9", "r": "n + 19", "z": "r + 5", "s": 10}, "premises": {"s": 10}, "target": "t"}, "answer": {"steps": [["d", "p + 14", "p + 26"], ["p", "f + 16", "f + 42"], ["f", "e + 2", "e + 44"], ["e", "g + 2", "g + 46"], ["g", "s + 9", "s + 55"], ["s", 10, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"s": 10}, "is_reverse": true}}
| 1,521
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = s + 15; n = c + 9; r = n + 19; f = e + 2; d = p + 14; p = f + 16; z = r + 5; c = l + 10; t = d + 12; l = h + 13; g = s + 9; s = 10; e = g + 2. Given that s = 10, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 14 to t, which gives t = p + 26.\n2. Substitute p = f + 16 to t, which gives t = f + 42.\n3. Substitute f = e + 2 to t, which gives t = e + 44.\n4. Substitute e = g + 2 to t, which gives t = g + 46.\n5. Substitute g = s + 9 to t, which gives t = s + 55.\n6. Substitute s = 10 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 1521,
"question": "Suppose a collection of variables is related by the following definitions: h = s + 15; n = c + 9; r = n + 19; f = e + 2; d = p + 14; p = f + 16; z = r + 5; c = l + 10; t = d + 12; l = h + 13; g = s + 9; s = 10; e = g + 2. Given that s = 10, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 7", "h": "i + 12", "e": "h + 19", "q": "e + 16", "l": "q + 2", "u": "l + 3", "v": "y + 3", "n": "v + 1", "w": "n + 17", "o": "w + 17", "m": "o + 18", "p": "m + 18", "y": 20}, "premises": {"y": 20}, "target": "u"}, "answer": {"steps": [["l", "q + 2", "q + 5"], ["q", "e + 16", "e + 21"], ["e", "h + 19", "h + 40"], ["h", "i + 12", "i + 52"], ["i", "y + 7", "y + 59"], ["y", 20, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"y": 20}, "is_reverse": true}}
| 1,522
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = i + 12; o = w + 17; u = l + 3; w = n + 17; l = q + 2; q = e + 16; v = y + 3; e = h + 19; i = y + 7; p = m + 18; m = o + 18; y = 20; n = v + 1. Given that y = 20, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 2 to u, which gives u = q + 5.\n2. Substitute q = e + 16 to u, which gives u = e + 21.\n3. Substitute e = h + 19 to u, which gives u = h + 40.\n4. Substitute h = i + 12 to u, which gives u = i + 52.\n5. Substitute i = y + 7 to u, which gives u = y + 59.\n6. Substitute y = 20 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 1522,
"question": "Suppose a collection of variables is related by the following definitions: h = i + 12; o = w + 17; u = l + 3; w = n + 17; l = q + 2; q = e + 16; v = y + 3; e = h + 19; i = y + 7; p = m + 18; m = o + 18; y = 20; n = v + 1. Given that y = 20, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"j": "l + 17", "g": "j + 4", "s": "g + 4", "r": "s + 4", "d": "r + 1", "m": "d + 1", "o": "l + 1", "c": "o + 20", "e": "c + 13", "i": "e + 11", "h": "i + 11", "y": "h + 1", "l": 20}, "premises": {"l": 20}, "target": "m"}, "answer": {"steps": [["d", "r + 1", "r + 2"], ["r", "s + 4", "s + 6"], ["s", "g + 4", "g + 10"], ["g", "j + 4", "j + 14"], ["j", "l + 17", "l + 31"], ["l", 20, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"l": 20}, "is_reverse": true}}
| 1,523
| 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 + 13; c = o + 20; s = g + 4; g = j + 4; l = 20; r = s + 4; m = d + 1; d = r + 1; o = l + 1; j = l + 17; h = i + 11; y = h + 1; i = e + 11. If l = 20, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 1 to m, which gives m = r + 2.\n2. Substitute r = s + 4 to m, which gives m = s + 6.\n3. Substitute s = g + 4 to m, which gives m = g + 10.\n4. Substitute g = j + 4 to m, which gives m = j + 14.\n5. Substitute j = l + 17 to m, which gives m = l + 31.\n6. Substitute l = 20 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 1523,
"question": "Consider a system of variables where each variable is defined as follows: e = c + 13; c = o + 20; s = g + 4; g = j + 4; l = 20; r = s + 4; m = d + 1; d = r + 1; o = l + 1; j = l + 17; h = i + 11; y = h + 1; i = e + 11. If l = 20, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"n": "v + 12", "u": "n + 20", "b": "u + 2", "s": "b + 3", "l": "s + 8", "e": "l + 2", "r": "v + 2", "g": "r + 16", "z": "g + 5", "x": "z + 18", "h": "x + 17", "d": "h + 12", "v": 18}, "premises": {"v": 18}, "target": "e"}, "answer": {"steps": [["l", "s + 8", "s + 10"], ["s", "b + 3", "b + 13"], ["b", "u + 2", "u + 15"], ["u", "n + 20", "n + 35"], ["n", "v + 12", "v + 47"], ["v", 18, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"v": 18}, "is_reverse": true}}
| 1,524
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 5; x = z + 18; u = n + 20; v = 18; s = b + 3; d = h + 12; n = v + 12; b = u + 2; l = s + 8; e = l + 2; h = x + 17; r = v + 2; g = r + 16. Given that v = 18, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 8 to e, which gives e = s + 10.\n2. Substitute s = b + 3 to e, which gives e = b + 13.\n3. Substitute b = u + 2 to e, which gives e = u + 15.\n4. Substitute u = n + 20 to e, which gives e = n + 35.\n5. Substitute n = v + 12 to e, which gives e = v + 47.\n6. Substitute v = 18 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 1524,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 5; x = z + 18; u = n + 20; v = 18; s = b + 3; d = h + 12; n = v + 12; b = u + 2; l = s + 8; e = l + 2; h = x + 17; r = v + 2; g = r + 16. Given that v = 18, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"w": "c + 13", "j": "w + 11", "z": "j + 14", "u": "z + 14", "x": "u + 6", "b": "x + 16", "m": "c + 3", "v": "m + 7", "n": "v + 14", "k": "n + 18", "t": "k + 14", "y": "t + 6", "c": 6}, "premises": {"c": 6}, "target": "b"}, "answer": {"steps": [["x", "u + 6", "u + 22"], ["u", "z + 14", "z + 36"], ["z", "j + 14", "j + 50"], ["j", "w + 11", "w + 61"], ["w", "c + 13", "c + 74"], ["c", 6, "80"]], "target_var_name": "b", "target_value": 80, "value_dict": {"c": 6}, "is_reverse": true}}
| 1,525
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = c + 13; u = z + 14; j = w + 11; v = m + 7; z = j + 14; n = v + 14; t = k + 14; k = n + 18; x = u + 6; b = x + 16; c = 6; y = t + 6; m = c + 3. Given that c = 6, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 6 to b, which gives b = u + 22.\n2. Substitute u = z + 14 to b, which gives b = z + 36.\n3. Substitute z = j + 14 to b, which gives b = j + 50.\n4. Substitute j = w + 11 to b, which gives b = w + 61.\n5. Substitute w = c + 13 to b, which gives b = c + 74.\n6. Substitute c = 6 to b, which gives b = 80.\n\nThus, the final answer is b = \\boxed{80}.",
"index": 1525,
"question": "Suppose a collection of variables is related by the following definitions: w = c + 13; u = z + 14; j = w + 11; v = m + 7; z = j + 14; n = v + 14; t = k + 14; k = n + 18; x = u + 6; b = x + 16; c = 6; y = t + 6; m = c + 3. Given that c = 6, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 2", "w": "k + 16", "b": "w + 13", "n": "b + 8", "o": "n + 9", "u": "o + 12", "g": "i + 4", "v": "g + 6", "z": "v + 9", "j": "z + 5", "y": "j + 7", "r": "y + 8", "i": 20}, "premises": {"i": 20}, "target": "u"}, "answer": {"steps": [["o", "n + 9", "n + 21"], ["n", "b + 8", "b + 29"], ["b", "w + 13", "w + 42"], ["w", "k + 16", "k + 58"], ["k", "i + 2", "i + 60"], ["i", 20, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"i": 20}, "is_reverse": true}}
| 1,526
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 16; n = b + 8; r = y + 8; k = i + 2; u = o + 12; b = w + 13; v = g + 6; i = 20; z = v + 9; o = n + 9; y = j + 7; g = i + 4; j = z + 5. If i = 20, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 9 to u, which gives u = n + 21.\n2. Substitute n = b + 8 to u, which gives u = b + 29.\n3. Substitute b = w + 13 to u, which gives u = w + 42.\n4. Substitute w = k + 16 to u, which gives u = k + 58.\n5. Substitute k = i + 2 to u, which gives u = i + 60.\n6. Substitute i = 20 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 1526,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 16; n = b + 8; r = y + 8; k = i + 2; u = o + 12; b = w + 13; v = g + 6; i = 20; z = v + 9; o = n + 9; y = j + 7; g = i + 4; j = z + 5. If i = 20, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 10", "r": "h + 14", "j": "r + 16", "g": "j + 17", "l": "g + 10", "t": "l + 5", "z": "d + 7", "b": "z + 8", "x": "b + 6", "w": "x + 10", "o": "w + 4", "q": "o + 14", "d": 16}, "premises": {"d": 16}, "target": "t"}, "answer": {"steps": [["l", "g + 10", "g + 15"], ["g", "j + 17", "j + 32"], ["j", "r + 16", "r + 48"], ["r", "h + 14", "h + 62"], ["h", "d + 10", "d + 72"], ["d", 16, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,527
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = d + 10; z = d + 7; x = b + 6; r = h + 14; l = g + 10; t = l + 5; g = j + 17; j = r + 16; o = w + 4; b = z + 8; w = x + 10; q = o + 14; d = 16. Given that d = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 10 to t, which gives t = g + 15.\n2. Substitute g = j + 17 to t, which gives t = j + 32.\n3. Substitute j = r + 16 to t, which gives t = r + 48.\n4. Substitute r = h + 14 to t, which gives t = h + 62.\n5. Substitute h = d + 10 to t, which gives t = d + 72.\n6. Substitute d = 16 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 1527,
"question": "Suppose a collection of variables is related by the following definitions: h = d + 10; z = d + 7; x = b + 6; r = h + 14; l = g + 10; t = l + 5; g = j + 17; j = r + 16; o = w + 4; b = z + 8; w = x + 10; q = o + 14; d = 16. Given that d = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 9", "i": "m + 12", "b": "i + 7", "u": "b + 11", "e": "u + 8", "w": "e + 11", "y": "j + 11", "g": "y + 5", "z": "g + 19", "p": "z + 11", "r": "p + 12", "n": "r + 7", "j": 16}, "premises": {"j": 16}, "target": "w"}, "answer": {"steps": [["e", "u + 8", "u + 19"], ["u", "b + 11", "b + 30"], ["b", "i + 7", "i + 37"], ["i", "m + 12", "m + 49"], ["m", "j + 9", "j + 58"], ["j", 16, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"j": 16}, "is_reverse": true}}
| 1,528
| 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 = j + 11; e = u + 8; z = g + 19; p = z + 11; b = i + 7; w = e + 11; j = 16; u = b + 11; g = y + 5; i = m + 12; n = r + 7; m = j + 9; r = p + 12. If j = 16, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 8 to w, which gives w = u + 19.\n2. Substitute u = b + 11 to w, which gives w = b + 30.\n3. Substitute b = i + 7 to w, which gives w = i + 37.\n4. Substitute i = m + 12 to w, which gives w = m + 49.\n5. Substitute m = j + 9 to w, which gives w = j + 58.\n6. Substitute j = 16 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 1528,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 11; e = u + 8; z = g + 19; p = z + 11; b = i + 7; w = e + 11; j = 16; u = b + 11; g = y + 5; i = m + 12; n = r + 7; m = j + 9; r = p + 12. If j = 16, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 12", "u": "m + 14", "t": "u + 6", "x": "t + 1", "w": "x + 2", "b": "w + 14", "j": "p + 7", "s": "j + 2", "c": "s + 19", "l": "c + 19", "o": "l + 4", "k": "o + 13", "p": 14}, "premises": {"p": 14}, "target": "b"}, "answer": {"steps": [["w", "x + 2", "x + 16"], ["x", "t + 1", "t + 17"], ["t", "u + 6", "u + 23"], ["u", "m + 14", "m + 37"], ["m", "p + 12", "p + 49"], ["p", 14, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"p": 14}, "is_reverse": true}}
| 1,529
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 14; o = l + 4; s = j + 2; t = u + 6; m = p + 12; u = m + 14; k = o + 13; p = 14; c = s + 19; w = x + 2; j = p + 7; l = c + 19; x = t + 1. Given that p = 14, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 2 to b, which gives b = x + 16.\n2. Substitute x = t + 1 to b, which gives b = t + 17.\n3. Substitute t = u + 6 to b, which gives b = u + 23.\n4. Substitute u = m + 14 to b, which gives b = m + 37.\n5. Substitute m = p + 12 to b, which gives b = p + 49.\n6. Substitute p = 14 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 1529,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 14; o = l + 4; s = j + 2; t = u + 6; m = p + 12; u = m + 14; k = o + 13; p = 14; c = s + 19; w = x + 2; j = p + 7; l = c + 19; x = t + 1. Given that p = 14, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"k": "p + 11", "b": "k + 11", "f": "b + 7", "v": "f + 18", "e": "v + 19", "l": "e + 1", "n": "p + 7", "z": "n + 17", "j": "z + 9", "i": "j + 17", "t": "i + 1", "s": "t + 5", "p": 5}, "premises": {"p": 5}, "target": "l"}, "answer": {"steps": [["e", "v + 19", "v + 20"], ["v", "f + 18", "f + 38"], ["f", "b + 7", "b + 45"], ["b", "k + 11", "k + 56"], ["k", "p + 11", "p + 67"], ["p", 5, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"p": 5}, "is_reverse": true}}
| 1,530
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 5; b = k + 11; j = z + 9; f = b + 7; p = 5; v = f + 18; e = v + 19; t = i + 1; n = p + 7; z = n + 17; l = e + 1; k = p + 11; i = j + 17. If p = 5, 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 e = v + 19 to l, which gives l = v + 20.\n2. Substitute v = f + 18 to l, which gives l = f + 38.\n3. Substitute f = b + 7 to l, which gives l = b + 45.\n4. Substitute b = k + 11 to l, which gives l = k + 56.\n5. Substitute k = p + 11 to l, which gives l = p + 67.\n6. Substitute p = 5 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 1530,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 5; b = k + 11; j = z + 9; f = b + 7; p = 5; v = f + 18; e = v + 19; t = i + 1; n = p + 7; z = n + 17; l = e + 1; k = p + 11; i = j + 17. If p = 5, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"v": "h + 19", "r": "v + 9", "w": "r + 9", "n": "w + 4", "q": "n + 20", "j": "q + 17", "b": "h + 10", "l": "b + 5", "u": "l + 8", "e": "u + 19", "p": "e + 3", "m": "p + 13", "h": 14}, "premises": {"h": 14}, "target": "j"}, "answer": {"steps": [["q", "n + 20", "n + 37"], ["n", "w + 4", "w + 41"], ["w", "r + 9", "r + 50"], ["r", "v + 9", "v + 59"], ["v", "h + 19", "h + 78"], ["h", 14, "92"]], "target_var_name": "j", "target_value": 92, "value_dict": {"h": 14}, "is_reverse": true}}
| 1,531
| 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 = e + 3; l = b + 5; q = n + 20; m = p + 13; v = h + 19; r = v + 9; b = h + 10; w = r + 9; j = q + 17; n = w + 4; u = l + 8; e = u + 19; h = 14. If h = 14, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 20 to j, which gives j = n + 37.\n2. Substitute n = w + 4 to j, which gives j = w + 41.\n3. Substitute w = r + 9 to j, which gives j = r + 50.\n4. Substitute r = v + 9 to j, which gives j = v + 59.\n5. Substitute v = h + 19 to j, which gives j = h + 78.\n6. Substitute h = 14 to j, which gives j = 92.\n\nThus, the final answer is j = \\boxed{92}.",
"index": 1531,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 3; l = b + 5; q = n + 20; m = p + 13; v = h + 19; r = v + 9; b = h + 10; w = r + 9; j = q + 17; n = w + 4; u = l + 8; e = u + 19; h = 14. If h = 14, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"w": "b + 4", "h": "w + 19", "q": "h + 5", "p": "q + 11", "g": "p + 13", "j": "g + 20", "e": "b + 5", "y": "e + 11", "k": "y + 17", "f": "k + 11", "i": "f + 1", "r": "i + 15", "b": 2}, "premises": {"b": 2}, "target": "j"}, "answer": {"steps": [["g", "p + 13", "p + 33"], ["p", "q + 11", "q + 44"], ["q", "h + 5", "h + 49"], ["h", "w + 19", "w + 68"], ["w", "b + 4", "b + 72"], ["b", 2, "74"]], "target_var_name": "j", "target_value": 74, "value_dict": {"b": 2}, "is_reverse": true}}
| 1,532
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = y + 17; r = i + 15; w = b + 4; p = q + 11; j = g + 20; f = k + 11; q = h + 5; b = 2; h = w + 19; e = b + 5; g = p + 13; y = e + 11; i = f + 1. Given that b = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 13 to j, which gives j = p + 33.\n2. Substitute p = q + 11 to j, which gives j = q + 44.\n3. Substitute q = h + 5 to j, which gives j = h + 49.\n4. Substitute h = w + 19 to j, which gives j = w + 68.\n5. Substitute w = b + 4 to j, which gives j = b + 72.\n6. Substitute b = 2 to j, which gives j = 74.\n\nThus, the final answer is j = \\boxed{74}.",
"index": 1532,
"question": "Suppose a collection of variables is related by the following definitions: k = y + 17; r = i + 15; w = b + 4; p = q + 11; j = g + 20; f = k + 11; q = h + 5; b = 2; h = w + 19; e = b + 5; g = p + 13; y = e + 11; i = f + 1. Given that b = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 5", "o": "e + 13", "l": "o + 7", "i": "l + 18", "z": "i + 16", "g": "z + 16", "h": "c + 13", "w": "h + 14", "q": "w + 9", "x": "q + 4", "b": "x + 17", "d": "b + 14", "c": 1}, "premises": {"c": 1}, "target": "g"}, "answer": {"steps": [["z", "i + 16", "i + 32"], ["i", "l + 18", "l + 50"], ["l", "o + 7", "o + 57"], ["o", "e + 13", "e + 70"], ["e", "c + 5", "c + 75"], ["c", 1, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"c": 1}, "is_reverse": true}}
| 1,533
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = l + 18; w = h + 14; l = o + 7; o = e + 13; h = c + 13; b = x + 17; e = c + 5; g = z + 16; q = w + 9; d = b + 14; c = 1; z = i + 16; x = q + 4. If c = 1, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 16 to g, which gives g = i + 32.\n2. Substitute i = l + 18 to g, which gives g = l + 50.\n3. Substitute l = o + 7 to g, which gives g = o + 57.\n4. Substitute o = e + 13 to g, which gives g = e + 70.\n5. Substitute e = c + 5 to g, which gives g = c + 75.\n6. Substitute c = 1 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 1533,
"question": "Consider a system of variables where each variable is defined as follows: i = l + 18; w = h + 14; l = o + 7; o = e + 13; h = c + 13; b = x + 17; e = c + 5; g = z + 16; q = w + 9; d = b + 14; c = 1; z = i + 16; x = q + 4. If c = 1, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"k": "v + 4", "e": "k + 17", "g": "e + 10", "d": "g + 20", "j": "d + 12", "w": "j + 14", "t": "v + 14", "f": "t + 19", "z": "f + 4", "l": "z + 19", "s": "l + 14", "n": "s + 15", "v": 10}, "premises": {"v": 10}, "target": "w"}, "answer": {"steps": [["j", "d + 12", "d + 26"], ["d", "g + 20", "g + 46"], ["g", "e + 10", "e + 56"], ["e", "k + 17", "k + 73"], ["k", "v + 4", "v + 77"], ["v", 10, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"v": 10}, "is_reverse": true}}
| 1,534
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = j + 14; n = s + 15; t = v + 14; f = t + 19; k = v + 4; j = d + 12; d = g + 20; s = l + 14; l = z + 19; g = e + 10; e = k + 17; v = 10; z = f + 4. Given that v = 10, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 12 to w, which gives w = d + 26.\n2. Substitute d = g + 20 to w, which gives w = g + 46.\n3. Substitute g = e + 10 to w, which gives w = e + 56.\n4. Substitute e = k + 17 to w, which gives w = k + 73.\n5. Substitute k = v + 4 to w, which gives w = v + 77.\n6. Substitute v = 10 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 1534,
"question": "Suppose a collection of variables is related by the following definitions: w = j + 14; n = s + 15; t = v + 14; f = t + 19; k = v + 4; j = d + 12; d = g + 20; s = l + 14; l = z + 19; g = e + 10; e = k + 17; v = 10; z = f + 4. Given that v = 10, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"h": "m + 9", "k": "h + 14", "q": "k + 19", "u": "q + 1", "f": "u + 4", "b": "f + 2", "o": "m + 20", "v": "o + 10", "i": "v + 8", "p": "i + 6", "j": "p + 18", "c": "j + 19", "m": 15}, "premises": {"m": 15}, "target": "b"}, "answer": {"steps": [["f", "u + 4", "u + 6"], ["u", "q + 1", "q + 7"], ["q", "k + 19", "k + 26"], ["k", "h + 14", "h + 40"], ["h", "m + 9", "m + 49"], ["m", 15, "64"]], "target_var_name": "b", "target_value": 64, "value_dict": {"m": 15}, "is_reverse": true}}
| 1,535
| 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 = k + 19; i = v + 8; h = m + 9; v = o + 10; m = 15; u = q + 1; k = h + 14; p = i + 6; j = p + 18; o = m + 20; c = j + 19; b = f + 2; f = u + 4. If m = 15, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 4 to b, which gives b = u + 6.\n2. Substitute u = q + 1 to b, which gives b = q + 7.\n3. Substitute q = k + 19 to b, which gives b = k + 26.\n4. Substitute k = h + 14 to b, which gives b = h + 40.\n5. Substitute h = m + 9 to b, which gives b = m + 49.\n6. Substitute m = 15 to b, which gives b = 64.\n\nThus, the final answer is b = \\boxed{64}.",
"index": 1535,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = k + 19; i = v + 8; h = m + 9; v = o + 10; m = 15; u = q + 1; k = h + 14; p = i + 6; j = p + 18; o = m + 20; c = j + 19; b = f + 2; f = u + 4. If m = 15, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"a": "n + 20", "t": "a + 13", "i": "t + 20", "y": "i + 2", "b": "y + 14", "e": "b + 11", "u": "n + 16", "f": "u + 4", "v": "f + 1", "l": "v + 11", "o": "l + 18", "s": "o + 10", "n": 17}, "premises": {"n": 17}, "target": "e"}, "answer": {"steps": [["b", "y + 14", "y + 25"], ["y", "i + 2", "i + 27"], ["i", "t + 20", "t + 47"], ["t", "a + 13", "a + 60"], ["a", "n + 20", "n + 80"], ["n", 17, "97"]], "target_var_name": "e", "target_value": 97, "value_dict": {"n": 17}, "is_reverse": true}}
| 1,536
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = o + 10; n = 17; b = y + 14; u = n + 16; i = t + 20; f = u + 4; l = v + 11; a = n + 20; v = f + 1; e = b + 11; t = a + 13; o = l + 18; y = i + 2. Given that n = 17, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = y + 14 to e, which gives e = y + 25.\n2. Substitute y = i + 2 to e, which gives e = i + 27.\n3. Substitute i = t + 20 to e, which gives e = t + 47.\n4. Substitute t = a + 13 to e, which gives e = a + 60.\n5. Substitute a = n + 20 to e, which gives e = n + 80.\n6. Substitute n = 17 to e, which gives e = 97.\n\nThus, the final answer is e = \\boxed{97}.",
"index": 1536,
"question": "Suppose a collection of variables is related by the following definitions: s = o + 10; n = 17; b = y + 14; u = n + 16; i = t + 20; f = u + 4; l = v + 11; a = n + 20; v = f + 1; e = b + 11; t = a + 13; o = l + 18; y = i + 2. Given that n = 17, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"e": "a + 2", "i": "e + 1", "p": "i + 14", "z": "p + 17", "l": "z + 7", "r": "l + 2", "w": "a + 20", "b": "w + 4", "y": "b + 16", "j": "y + 14", "d": "j + 4", "o": "d + 15", "a": 6}, "premises": {"a": 6}, "target": "r"}, "answer": {"steps": [["l", "z + 7", "z + 9"], ["z", "p + 17", "p + 26"], ["p", "i + 14", "i + 40"], ["i", "e + 1", "e + 41"], ["e", "a + 2", "a + 43"], ["a", 6, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"a": 6}, "is_reverse": true}}
| 1,537
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 17; d = j + 4; y = b + 16; o = d + 15; i = e + 1; p = i + 14; l = z + 7; a = 6; r = l + 2; w = a + 20; e = a + 2; b = w + 4; j = y + 14. Given that a = 6, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 7 to r, which gives r = z + 9.\n2. Substitute z = p + 17 to r, which gives r = p + 26.\n3. Substitute p = i + 14 to r, which gives r = i + 40.\n4. Substitute i = e + 1 to r, which gives r = e + 41.\n5. Substitute e = a + 2 to r, which gives r = a + 43.\n6. Substitute a = 6 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 1537,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 17; d = j + 4; y = b + 16; o = d + 15; i = e + 1; p = i + 14; l = z + 7; a = 6; r = l + 2; w = a + 20; e = a + 2; b = w + 4; j = y + 14. Given that a = 6, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 9", "f": "g + 12", "o": "f + 11", "u": "o + 4", "q": "u + 13", "i": "q + 13", "j": "n + 3", "d": "j + 1", "y": "d + 15", "k": "y + 7", "s": "k + 7", "a": "s + 6", "n": 18}, "premises": {"n": 18}, "target": "i"}, "answer": {"steps": [["q", "u + 13", "u + 26"], ["u", "o + 4", "o + 30"], ["o", "f + 11", "f + 41"], ["f", "g + 12", "g + 53"], ["g", "n + 9", "n + 62"], ["n", 18, "80"]], "target_var_name": "i", "target_value": 80, "value_dict": {"n": 18}, "is_reverse": true}}
| 1,538
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = k + 7; y = d + 15; a = s + 6; d = j + 1; k = y + 7; j = n + 3; u = o + 4; o = f + 11; f = g + 12; g = n + 9; i = q + 13; n = 18; q = u + 13. If n = 18, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 13 to i, which gives i = u + 26.\n2. Substitute u = o + 4 to i, which gives i = o + 30.\n3. Substitute o = f + 11 to i, which gives i = f + 41.\n4. Substitute f = g + 12 to i, which gives i = g + 53.\n5. Substitute g = n + 9 to i, which gives i = n + 62.\n6. Substitute n = 18 to i, which gives i = 80.\n\nThus, the final answer is i = \\boxed{80}.",
"index": 1538,
"question": "Consider a system of variables where each variable is defined as follows: s = k + 7; y = d + 15; a = s + 6; d = j + 1; k = y + 7; j = n + 3; u = o + 4; o = f + 11; f = g + 12; g = n + 9; i = q + 13; n = 18; q = u + 13. If n = 18, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"c": "v + 7", "b": "c + 4", "n": "b + 18", "u": "n + 17", "z": "u + 19", "q": "z + 1", "i": "v + 11", "w": "i + 6", "x": "w + 1", "e": "x + 19", "s": "e + 3", "o": "s + 7", "v": 11}, "premises": {"v": 11}, "target": "q"}, "answer": {"steps": [["z", "u + 19", "u + 20"], ["u", "n + 17", "n + 37"], ["n", "b + 18", "b + 55"], ["b", "c + 4", "c + 59"], ["c", "v + 7", "v + 66"], ["v", 11, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"v": 11}, "is_reverse": true}}
| 1,539
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 1; b = c + 4; e = x + 19; x = w + 1; s = e + 3; o = s + 7; v = 11; c = v + 7; n = b + 18; z = u + 19; i = v + 11; w = i + 6; u = n + 17. If v = 11, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 19 to q, which gives q = u + 20.\n2. Substitute u = n + 17 to q, which gives q = n + 37.\n3. Substitute n = b + 18 to q, which gives q = b + 55.\n4. Substitute b = c + 4 to q, which gives q = c + 59.\n5. Substitute c = v + 7 to q, which gives q = v + 66.\n6. Substitute v = 11 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 1539,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 1; b = c + 4; e = x + 19; x = w + 1; s = e + 3; o = s + 7; v = 11; c = v + 7; n = b + 18; z = u + 19; i = v + 11; w = i + 6; u = n + 17. If v = 11, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "e + 16", "n": "q + 2", "k": "n + 12", "j": "k + 18", "b": "j + 10", "o": "b + 6", "x": "e + 15", "a": "x + 11", "c": "a + 10", "f": "c + 11", "m": "f + 14", "h": "m + 8", "e": 20}, "premises": {"e": 20}, "target": "o"}, "answer": {"steps": [["b", "j + 10", "j + 16"], ["j", "k + 18", "k + 34"], ["k", "n + 12", "n + 46"], ["n", "q + 2", "q + 48"], ["q", "e + 16", "e + 64"], ["e", 20, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"e": 20}, "is_reverse": true}}
| 1,540
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = q + 2; x = e + 15; f = c + 11; m = f + 14; c = a + 10; k = n + 12; a = x + 11; b = j + 10; e = 20; h = m + 8; j = k + 18; q = e + 16; o = b + 6. If e = 20, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 10 to o, which gives o = j + 16.\n2. Substitute j = k + 18 to o, which gives o = k + 34.\n3. Substitute k = n + 12 to o, which gives o = n + 46.\n4. Substitute n = q + 2 to o, which gives o = q + 48.\n5. Substitute q = e + 16 to o, which gives o = e + 64.\n6. Substitute e = 20 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 1540,
"question": "Consider a system of variables where each variable is defined as follows: n = q + 2; x = e + 15; f = c + 11; m = f + 14; c = a + 10; k = n + 12; a = x + 11; b = j + 10; e = 20; h = m + 8; j = k + 18; q = e + 16; o = b + 6. If e = 20, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"h": "t + 17", "r": "h + 17", "d": "r + 15", "z": "d + 4", "f": "z + 8", "e": "f + 15", "g": "t + 9", "j": "g + 9", "a": "j + 16", "c": "a + 11", "m": "c + 14", "q": "m + 3", "t": 17}, "premises": {"t": 17}, "target": "e"}, "answer": {"steps": [["f", "z + 8", "z + 23"], ["z", "d + 4", "d + 27"], ["d", "r + 15", "r + 42"], ["r", "h + 17", "h + 59"], ["h", "t + 17", "t + 76"], ["t", 17, "93"]], "target_var_name": "e", "target_value": 93, "value_dict": {"t": 17}, "is_reverse": true}}
| 1,541
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = c + 14; j = g + 9; c = a + 11; g = t + 9; r = h + 17; h = t + 17; a = j + 16; z = d + 4; f = z + 8; e = f + 15; q = m + 3; t = 17; d = r + 15. Given that t = 17, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 8 to e, which gives e = z + 23.\n2. Substitute z = d + 4 to e, which gives e = d + 27.\n3. Substitute d = r + 15 to e, which gives e = r + 42.\n4. Substitute r = h + 17 to e, which gives e = h + 59.\n5. Substitute h = t + 17 to e, which gives e = t + 76.\n6. Substitute t = 17 to e, which gives e = 93.\n\nThus, the final answer is e = \\boxed{93}.",
"index": 1541,
"question": "Suppose a collection of variables is related by the following definitions: m = c + 14; j = g + 9; c = a + 11; g = t + 9; r = h + 17; h = t + 17; a = j + 16; z = d + 4; f = z + 8; e = f + 15; q = m + 3; t = 17; d = r + 15. Given that t = 17, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "o + 14", "k": "d + 11", "r": "k + 10", "s": "r + 10", "x": "s + 10", "h": "x + 15", "g": "o + 5", "w": "g + 9", "y": "w + 14", "a": "y + 18", "j": "a + 1", "f": "j + 11", "o": 14}, "premises": {"o": 14}, "target": "h"}, "answer": {"steps": [["x", "s + 10", "s + 25"], ["s", "r + 10", "r + 35"], ["r", "k + 10", "k + 45"], ["k", "d + 11", "d + 56"], ["d", "o + 14", "o + 70"], ["o", 14, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"o": 14}, "is_reverse": true}}
| 1,542
| 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 = o + 5; s = r + 10; w = g + 9; a = y + 18; h = x + 15; j = a + 1; x = s + 10; f = j + 11; o = 14; d = o + 14; y = w + 14; r = k + 10; k = d + 11. If o = 14, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 10 to h, which gives h = s + 25.\n2. Substitute s = r + 10 to h, which gives h = r + 35.\n3. Substitute r = k + 10 to h, which gives h = k + 45.\n4. Substitute k = d + 11 to h, which gives h = d + 56.\n5. Substitute d = o + 14 to h, which gives h = o + 70.\n6. Substitute o = 14 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 1542,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = o + 5; s = r + 10; w = g + 9; a = y + 18; h = x + 15; j = a + 1; x = s + 10; f = j + 11; o = 14; d = o + 14; y = w + 14; r = k + 10; k = d + 11. If o = 14, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"e": "s + 7", "d": "e + 14", "l": "d + 15", "j": "l + 16", "g": "j + 14", "n": "g + 19", "w": "s + 2", "c": "w + 13", "m": "c + 12", "i": "m + 6", "t": "i + 2", "q": "t + 1", "s": 17}, "premises": {"s": 17}, "target": "n"}, "answer": {"steps": [["g", "j + 14", "j + 33"], ["j", "l + 16", "l + 49"], ["l", "d + 15", "d + 64"], ["d", "e + 14", "e + 78"], ["e", "s + 7", "s + 85"], ["s", 17, "102"]], "target_var_name": "n", "target_value": 102, "value_dict": {"s": 17}, "is_reverse": true}}
| 1,543
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = 17; q = t + 1; j = l + 16; w = s + 2; d = e + 14; c = w + 13; t = i + 2; i = m + 6; n = g + 19; e = s + 7; m = c + 12; g = j + 14; l = d + 15. Given that s = 17, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = j + 14 to n, which gives n = j + 33.\n2. Substitute j = l + 16 to n, which gives n = l + 49.\n3. Substitute l = d + 15 to n, which gives n = d + 64.\n4. Substitute d = e + 14 to n, which gives n = e + 78.\n5. Substitute e = s + 7 to n, which gives n = s + 85.\n6. Substitute s = 17 to n, which gives n = 102.\n\nThus, the final answer is n = \\boxed{102}.",
"index": 1543,
"question": "Suppose a collection of variables is related by the following definitions: s = 17; q = t + 1; j = l + 16; w = s + 2; d = e + 14; c = w + 13; t = i + 2; i = m + 6; n = g + 19; e = s + 7; m = c + 12; g = j + 14; l = d + 15. Given that s = 17, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"k": "i + 8", "t": "k + 8", "w": "t + 17", "s": "w + 5", "v": "s + 11", "x": "v + 10", "p": "i + 4", "o": "p + 7", "b": "o + 3", "z": "b + 3", "c": "z + 15", "l": "c + 14", "i": 18}, "premises": {"i": 18}, "target": "x"}, "answer": {"steps": [["v", "s + 11", "s + 21"], ["s", "w + 5", "w + 26"], ["w", "t + 17", "t + 43"], ["t", "k + 8", "k + 51"], ["k", "i + 8", "i + 59"], ["i", 18, "77"]], "target_var_name": "x", "target_value": 77, "value_dict": {"i": 18}, "is_reverse": true}}
| 1,544
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 7; l = c + 14; x = v + 10; i = 18; p = i + 4; z = b + 3; w = t + 17; v = s + 11; t = k + 8; b = o + 3; s = w + 5; k = i + 8; c = z + 15. Given that i = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 11 to x, which gives x = s + 21.\n2. Substitute s = w + 5 to x, which gives x = w + 26.\n3. Substitute w = t + 17 to x, which gives x = t + 43.\n4. Substitute t = k + 8 to x, which gives x = k + 51.\n5. Substitute k = i + 8 to x, which gives x = i + 59.\n6. Substitute i = 18 to x, which gives x = 77.\n\nThus, the final answer is x = \\boxed{77}.",
"index": 1544,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 7; l = c + 14; x = v + 10; i = 18; p = i + 4; z = b + 3; w = t + 17; v = s + 11; t = k + 8; b = o + 3; s = w + 5; k = i + 8; c = z + 15. Given that i = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"s": "d + 18", "w": "s + 14", "o": "w + 5", "r": "o + 16", "i": "r + 16", "m": "i + 20", "g": "d + 1", "h": "g + 14", "f": "h + 1", "q": "f + 18", "n": "q + 20", "b": "n + 5", "d": 11}, "premises": {"d": 11}, "target": "m"}, "answer": {"steps": [["i", "r + 16", "r + 36"], ["r", "o + 16", "o + 52"], ["o", "w + 5", "w + 57"], ["w", "s + 14", "s + 71"], ["s", "d + 18", "d + 89"], ["d", 11, "100"]], "target_var_name": "m", "target_value": 100, "value_dict": {"d": 11}, "is_reverse": true}}
| 1,545
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 1; h = g + 14; r = o + 16; s = d + 18; o = w + 5; m = i + 20; w = s + 14; b = n + 5; q = f + 18; i = r + 16; d = 11; n = q + 20; g = d + 1. If d = 11, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 16 to m, which gives m = r + 36.\n2. Substitute r = o + 16 to m, which gives m = o + 52.\n3. Substitute o = w + 5 to m, which gives m = w + 57.\n4. Substitute w = s + 14 to m, which gives m = s + 71.\n5. Substitute s = d + 18 to m, which gives m = d + 89.\n6. Substitute d = 11 to m, which gives m = 100.\n\nThus, the final answer is m = \\boxed{100}.",
"index": 1545,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 1; h = g + 14; r = o + 16; s = d + 18; o = w + 5; m = i + 20; w = s + 14; b = n + 5; q = f + 18; i = r + 16; d = 11; n = q + 20; g = d + 1. If d = 11, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"i": "c + 19", "v": "i + 9", "n": "v + 16", "d": "n + 8", "b": "d + 16", "z": "b + 7", "t": "c + 19", "o": "t + 12", "g": "o + 6", "x": "g + 10", "m": "x + 13", "s": "m + 4", "c": 3}, "premises": {"c": 3}, "target": "z"}, "answer": {"steps": [["b", "d + 16", "d + 23"], ["d", "n + 8", "n + 31"], ["n", "v + 16", "v + 47"], ["v", "i + 9", "i + 56"], ["i", "c + 19", "c + 75"], ["c", 3, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"c": 3}, "is_reverse": true}}
| 1,546
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = v + 16; v = i + 9; g = o + 6; z = b + 7; m = x + 13; i = c + 19; x = g + 10; s = m + 4; o = t + 12; b = d + 16; d = n + 8; c = 3; t = c + 19. If c = 3, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 16 to z, which gives z = d + 23.\n2. Substitute d = n + 8 to z, which gives z = n + 31.\n3. Substitute n = v + 16 to z, which gives z = v + 47.\n4. Substitute v = i + 9 to z, which gives z = i + 56.\n5. Substitute i = c + 19 to z, which gives z = c + 75.\n6. Substitute c = 3 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 1546,
"question": "Consider a system of variables where each variable is defined as follows: n = v + 16; v = i + 9; g = o + 6; z = b + 7; m = x + 13; i = c + 19; x = g + 10; s = m + 4; o = t + 12; b = d + 16; d = n + 8; c = 3; t = c + 19. If c = 3, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 2", "h": "u + 16", "n": "h + 14", "i": "n + 14", "r": "i + 15", "s": "r + 15", "o": "x + 13", "v": "o + 11", "a": "v + 12", "q": "a + 2", "l": "q + 12", "w": "l + 14", "x": 17}, "premises": {"x": 17}, "target": "s"}, "answer": {"steps": [["r", "i + 15", "i + 30"], ["i", "n + 14", "n + 44"], ["n", "h + 14", "h + 58"], ["h", "u + 16", "u + 74"], ["u", "x + 2", "x + 76"], ["x", 17, "93"]], "target_var_name": "s", "target_value": 93, "value_dict": {"x": 17}, "is_reverse": true}}
| 1,547
| 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 = u + 16; n = h + 14; s = r + 15; a = v + 12; r = i + 15; u = x + 2; w = l + 14; v = o + 11; l = q + 12; i = n + 14; o = x + 13; q = a + 2; x = 17. If x = 17, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 15 to s, which gives s = i + 30.\n2. Substitute i = n + 14 to s, which gives s = n + 44.\n3. Substitute n = h + 14 to s, which gives s = h + 58.\n4. Substitute h = u + 16 to s, which gives s = u + 74.\n5. Substitute u = x + 2 to s, which gives s = x + 76.\n6. Substitute x = 17 to s, which gives s = 93.\n\nThus, the final answer is s = \\boxed{93}.",
"index": 1547,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 16; n = h + 14; s = r + 15; a = v + 12; r = i + 15; u = x + 2; w = l + 14; v = o + 11; l = q + 12; i = n + 14; o = x + 13; q = a + 2; x = 17. If x = 17, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 13", "m": "r + 13", "d": "m + 17", "u": "d + 16", "i": "u + 4", "f": "i + 20", "b": "g + 8", "j": "b + 17", "t": "j + 16", "q": "t + 3", "e": "q + 20", "a": "e + 11", "g": 12}, "premises": {"g": 12}, "target": "f"}, "answer": {"steps": [["i", "u + 4", "u + 24"], ["u", "d + 16", "d + 40"], ["d", "m + 17", "m + 57"], ["m", "r + 13", "r + 70"], ["r", "g + 13", "g + 83"], ["g", 12, "95"]], "target_var_name": "f", "target_value": 95, "value_dict": {"g": 12}, "is_reverse": true}}
| 1,548
| 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 + 11; q = t + 3; t = j + 16; d = m + 17; i = u + 4; r = g + 13; e = q + 20; f = i + 20; g = 12; u = d + 16; j = b + 17; m = r + 13; b = g + 8. If g = 12, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 4 to f, which gives f = u + 24.\n2. Substitute u = d + 16 to f, which gives f = d + 40.\n3. Substitute d = m + 17 to f, which gives f = m + 57.\n4. Substitute m = r + 13 to f, which gives f = r + 70.\n5. Substitute r = g + 13 to f, which gives f = g + 83.\n6. Substitute g = 12 to f, which gives f = 95.\n\nThus, the final answer is f = \\boxed{95}.",
"index": 1548,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 11; q = t + 3; t = j + 16; d = m + 17; i = u + 4; r = g + 13; e = q + 20; f = i + 20; g = 12; u = d + 16; j = b + 17; m = r + 13; b = g + 8. If g = 12, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "s + 8", "w": "b + 13", "f": "w + 12", "e": "f + 19", "a": "e + 4", "l": "a + 15", "j": "s + 11", "u": "j + 16", "n": "u + 3", "q": "n + 8", "t": "q + 6", "z": "t + 10", "s": 1}, "premises": {"s": 1}, "target": "l"}, "answer": {"steps": [["a", "e + 4", "e + 19"], ["e", "f + 19", "f + 38"], ["f", "w + 12", "w + 50"], ["w", "b + 13", "b + 63"], ["b", "s + 8", "s + 71"], ["s", 1, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"s": 1}, "is_reverse": true}}
| 1,549
| 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 + 6; w = b + 13; n = u + 3; z = t + 10; j = s + 11; a = e + 4; u = j + 16; f = w + 12; e = f + 19; s = 1; q = n + 8; l = a + 15; b = s + 8. If s = 1, what is the resulting 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 a = e + 4 to l, which gives l = e + 19.\n2. Substitute e = f + 19 to l, which gives l = f + 38.\n3. Substitute f = w + 12 to l, which gives l = w + 50.\n4. Substitute w = b + 13 to l, which gives l = b + 63.\n5. Substitute b = s + 8 to l, which gives l = s + 71.\n6. Substitute s = 1 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 1549,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = q + 6; w = b + 13; n = u + 3; z = t + 10; j = s + 11; a = e + 4; u = j + 16; f = w + 12; e = f + 19; s = 1; q = n + 8; l = a + 15; b = s + 8. If s = 1, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 6", "u": "h + 15", "o": "u + 3", "e": "o + 17", "m": "e + 12", "x": "m + 1", "l": "n + 8", "j": "l + 17", "q": "j + 16", "g": "q + 14", "s": "g + 16", "y": "s + 20", "n": 16}, "premises": {"n": 16}, "target": "x"}, "answer": {"steps": [["m", "e + 12", "e + 13"], ["e", "o + 17", "o + 30"], ["o", "u + 3", "u + 33"], ["u", "h + 15", "h + 48"], ["h", "n + 6", "n + 54"], ["n", 16, "70"]], "target_var_name": "x", "target_value": 70, "value_dict": {"n": 16}, "is_reverse": true}}
| 1,550
| 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 = n + 8; s = g + 16; u = h + 15; x = m + 1; o = u + 3; n = 16; q = j + 16; h = n + 6; m = e + 12; e = o + 17; j = l + 17; g = q + 14; y = s + 20. If n = 16, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = e + 12 to x, which gives x = e + 13.\n2. Substitute e = o + 17 to x, which gives x = o + 30.\n3. Substitute o = u + 3 to x, which gives x = u + 33.\n4. Substitute u = h + 15 to x, which gives x = h + 48.\n5. Substitute h = n + 6 to x, which gives x = n + 54.\n6. Substitute n = 16 to x, which gives x = 70.\n\nThus, the final answer is x = \\boxed{70}.",
"index": 1550,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 8; s = g + 16; u = h + 15; x = m + 1; o = u + 3; n = 16; q = j + 16; h = n + 6; m = e + 12; e = o + 17; j = l + 17; g = q + 14; y = s + 20. If n = 16, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"j": "e + 16", "u": "j + 3", "t": "u + 19", "n": "t + 20", "v": "n + 12", "g": "v + 19", "p": "e + 14", "d": "p + 20", "y": "d + 12", "x": "y + 8", "s": "x + 6", "c": "s + 11", "e": 5}, "premises": {"e": 5}, "target": "g"}, "answer": {"steps": [["v", "n + 12", "n + 31"], ["n", "t + 20", "t + 51"], ["t", "u + 19", "u + 70"], ["u", "j + 3", "j + 73"], ["j", "e + 16", "e + 89"], ["e", 5, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"e": 5}, "is_reverse": true}}
| 1,551
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 11; p = e + 14; v = n + 12; y = d + 12; t = u + 19; n = t + 20; u = j + 3; d = p + 20; e = 5; s = x + 6; g = v + 19; x = y + 8; j = e + 16. Given that e = 5, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 12 to g, which gives g = n + 31.\n2. Substitute n = t + 20 to g, which gives g = t + 51.\n3. Substitute t = u + 19 to g, which gives g = u + 70.\n4. Substitute u = j + 3 to g, which gives g = j + 73.\n5. Substitute j = e + 16 to g, which gives g = e + 89.\n6. Substitute e = 5 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 1551,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 11; p = e + 14; v = n + 12; y = d + 12; t = u + 19; n = t + 20; u = j + 3; d = p + 20; e = 5; s = x + 6; g = v + 19; x = y + 8; j = e + 16. Given that e = 5, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"e": "g + 5", "o": "e + 1", "i": "o + 10", "l": "i + 19", "z": "l + 4", "u": "z + 5", "k": "g + 8", "j": "k + 13", "d": "j + 13", "t": "d + 9", "a": "t + 20", "w": "a + 11", "g": 10}, "premises": {"g": 10}, "target": "u"}, "answer": {"steps": [["z", "l + 4", "l + 9"], ["l", "i + 19", "i + 28"], ["i", "o + 10", "o + 38"], ["o", "e + 1", "e + 39"], ["e", "g + 5", "g + 44"], ["g", 10, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"g": 10}, "is_reverse": true}}
| 1,552
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; g = 10; d = j + 13; e = g + 5; k = g + 8; u = z + 5; i = o + 10; o = e + 1; j = k + 13; w = a + 11; a = t + 20; l = i + 19; z = l + 4. If g = 10, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 4 to u, which gives u = l + 9.\n2. Substitute l = i + 19 to u, which gives u = i + 28.\n3. Substitute i = o + 10 to u, which gives u = o + 38.\n4. Substitute o = e + 1 to u, which gives u = e + 39.\n5. Substitute e = g + 5 to u, which gives u = g + 44.\n6. Substitute g = 10 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 1552,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = d + 9; g = 10; d = j + 13; e = g + 5; k = g + 8; u = z + 5; i = o + 10; o = e + 1; j = k + 13; w = a + 11; a = t + 20; l = i + 19; z = l + 4. If g = 10, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 14", "g": "m + 2", "z": "g + 15", "p": "z + 2", "y": "p + 20", "o": "y + 1", "j": "w + 20", "e": "j + 20", "b": "e + 16", "x": "b + 3", "d": "x + 12", "s": "d + 10", "w": 11}, "premises": {"w": 11}, "target": "o"}, "answer": {"steps": [["y", "p + 20", "p + 21"], ["p", "z + 2", "z + 23"], ["z", "g + 15", "g + 38"], ["g", "m + 2", "m + 40"], ["m", "w + 14", "w + 54"], ["w", 11, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"w": 11}, "is_reverse": true}}
| 1,553
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 12; e = j + 20; p = z + 2; x = b + 3; s = d + 10; b = e + 16; m = w + 14; z = g + 15; j = w + 20; y = p + 20; w = 11; o = y + 1; g = m + 2. If w = 11, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 20 to o, which gives o = p + 21.\n2. Substitute p = z + 2 to o, which gives o = z + 23.\n3. Substitute z = g + 15 to o, which gives o = g + 38.\n4. Substitute g = m + 2 to o, which gives o = m + 40.\n5. Substitute m = w + 14 to o, which gives o = w + 54.\n6. Substitute w = 11 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 1553,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 12; e = j + 20; p = z + 2; x = b + 3; s = d + 10; b = e + 16; m = w + 14; z = g + 15; j = w + 20; y = p + 20; w = 11; o = y + 1; g = m + 2. If w = 11, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"a": "c + 4", "g": "a + 18", "x": "g + 16", "e": "x + 20", "h": "e + 13", "b": "h + 7", "m": "c + 20", "u": "m + 8", "v": "u + 3", "j": "v + 20", "o": "j + 13", "f": "o + 13", "c": 12}, "premises": {"c": 12}, "target": "b"}, "answer": {"steps": [["h", "e + 13", "e + 20"], ["e", "x + 20", "x + 40"], ["x", "g + 16", "g + 56"], ["g", "a + 18", "a + 74"], ["a", "c + 4", "c + 78"], ["c", 12, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"c": 12}, "is_reverse": true}}
| 1,554
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 7; v = u + 3; u = m + 8; x = g + 16; g = a + 18; f = o + 13; e = x + 20; a = c + 4; m = c + 20; o = j + 13; h = e + 13; j = v + 20; c = 12. Given that c = 12, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 13 to b, which gives b = e + 20.\n2. Substitute e = x + 20 to b, which gives b = x + 40.\n3. Substitute x = g + 16 to b, which gives b = g + 56.\n4. Substitute g = a + 18 to b, which gives b = a + 74.\n5. Substitute a = c + 4 to b, which gives b = c + 78.\n6. Substitute c = 12 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 1554,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 7; v = u + 3; u = m + 8; x = g + 16; g = a + 18; f = o + 13; e = x + 20; a = c + 4; m = c + 20; o = j + 13; h = e + 13; j = v + 20; c = 12. Given that c = 12, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 1", "p": "f + 19", "t": "p + 14", "x": "t + 15", "k": "x + 15", "a": "k + 17", "d": "l + 20", "z": "d + 20", "v": "z + 6", "h": "v + 14", "c": "h + 8", "o": "c + 3", "l": 14}, "premises": {"l": 14}, "target": "a"}, "answer": {"steps": [["k", "x + 15", "x + 32"], ["x", "t + 15", "t + 47"], ["t", "p + 14", "p + 61"], ["p", "f + 19", "f + 80"], ["f", "l + 1", "l + 81"], ["l", 14, "95"]], "target_var_name": "a", "target_value": 95, "value_dict": {"l": 14}, "is_reverse": true}}
| 1,555
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 8; z = d + 20; h = v + 14; l = 14; a = k + 17; p = f + 19; x = t + 15; v = z + 6; o = c + 3; d = l + 20; f = l + 1; k = x + 15; t = p + 14. Given that l = 14, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 15 to a, which gives a = x + 32.\n2. Substitute x = t + 15 to a, which gives a = t + 47.\n3. Substitute t = p + 14 to a, which gives a = p + 61.\n4. Substitute p = f + 19 to a, which gives a = f + 80.\n5. Substitute f = l + 1 to a, which gives a = l + 81.\n6. Substitute l = 14 to a, which gives a = 95.\n\nThus, the final answer is a = \\boxed{95}.",
"index": 1555,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 8; z = d + 20; h = v + 14; l = 14; a = k + 17; p = f + 19; x = t + 15; v = z + 6; o = c + 3; d = l + 20; f = l + 1; k = x + 15; t = p + 14. Given that l = 14, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"j": "d + 17", "s": "j + 1", "c": "s + 18", "h": "c + 15", "p": "h + 1", "l": "p + 13", "q": "d + 7", "w": "q + 9", "x": "w + 4", "u": "x + 14", "y": "u + 3", "t": "y + 13", "d": 14}, "premises": {"d": 14}, "target": "l"}, "answer": {"steps": [["p", "h + 1", "h + 14"], ["h", "c + 15", "c + 29"], ["c", "s + 18", "s + 47"], ["s", "j + 1", "j + 48"], ["j", "d + 17", "d + 65"], ["d", 14, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"d": 14}, "is_reverse": true}}
| 1,556
| 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 = u + 3; w = q + 9; p = h + 1; u = x + 14; q = d + 7; d = 14; c = s + 18; h = c + 15; x = w + 4; t = y + 13; j = d + 17; l = p + 13; s = j + 1. If d = 14, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 1 to l, which gives l = h + 14.\n2. Substitute h = c + 15 to l, which gives l = c + 29.\n3. Substitute c = s + 18 to l, which gives l = s + 47.\n4. Substitute s = j + 1 to l, which gives l = j + 48.\n5. Substitute j = d + 17 to l, which gives l = d + 65.\n6. Substitute d = 14 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 1556,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = u + 3; w = q + 9; p = h + 1; u = x + 14; q = d + 7; d = 14; c = s + 18; h = c + 15; x = w + 4; t = y + 13; j = d + 17; l = p + 13; s = j + 1. If d = 14, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 14", "k": "x + 2", "d": "k + 16", "l": "d + 8", "f": "l + 1", "o": "f + 17", "t": "u + 15", "g": "t + 6", "m": "g + 18", "i": "m + 4", "j": "i + 5", "e": "j + 18", "u": 9}, "premises": {"u": 9}, "target": "o"}, "answer": {"steps": [["f", "l + 1", "l + 18"], ["l", "d + 8", "d + 26"], ["d", "k + 16", "k + 42"], ["k", "x + 2", "x + 44"], ["x", "u + 14", "u + 58"], ["u", 9, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"u": 9}, "is_reverse": true}}
| 1,557
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 14; d = k + 16; g = t + 6; i = m + 4; m = g + 18; j = i + 5; l = d + 8; u = 9; k = x + 2; o = f + 17; e = j + 18; t = u + 15; f = l + 1. Given that u = 9, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 1 to o, which gives o = l + 18.\n2. Substitute l = d + 8 to o, which gives o = d + 26.\n3. Substitute d = k + 16 to o, which gives o = k + 42.\n4. Substitute k = x + 2 to o, which gives o = x + 44.\n5. Substitute x = u + 14 to o, which gives o = u + 58.\n6. Substitute u = 9 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 1557,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 14; d = k + 16; g = t + 6; i = m + 4; m = g + 18; j = i + 5; l = d + 8; u = 9; k = x + 2; o = f + 17; e = j + 18; t = u + 15; f = l + 1. Given that u = 9, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 4", "o": "f + 10", "e": "o + 20", "d": "e + 16", "s": "d + 4", "p": "s + 17", "g": "k + 12", "u": "g + 5", "j": "u + 7", "l": "j + 11", "v": "l + 1", "b": "v + 4", "k": 8}, "premises": {"k": 8}, "target": "p"}, "answer": {"steps": [["s", "d + 4", "d + 21"], ["d", "e + 16", "e + 37"], ["e", "o + 20", "o + 57"], ["o", "f + 10", "f + 67"], ["f", "k + 4", "k + 71"], ["k", 8, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"k": 8}, "is_reverse": true}}
| 1,558
| 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 + 16; s = d + 4; o = f + 10; g = k + 12; b = v + 4; l = j + 11; p = s + 17; k = 8; v = l + 1; u = g + 5; e = o + 20; j = u + 7; f = k + 4. If k = 8, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 4 to p, which gives p = d + 21.\n2. Substitute d = e + 16 to p, which gives p = e + 37.\n3. Substitute e = o + 20 to p, which gives p = o + 57.\n4. Substitute o = f + 10 to p, which gives p = f + 67.\n5. Substitute f = k + 4 to p, which gives p = k + 71.\n6. Substitute k = 8 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 1558,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = e + 16; s = d + 4; o = f + 10; g = k + 12; b = v + 4; l = j + 11; p = s + 17; k = 8; v = l + 1; u = g + 5; e = o + 20; j = u + 7; f = k + 4. If k = 8, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 16", "y": "o + 15", "x": "y + 14", "e": "x + 13", "s": "e + 6", "w": "s + 11", "k": "t + 2", "n": "k + 7", "h": "n + 9", "q": "h + 6", "d": "q + 8", "j": "d + 12", "t": 7}, "premises": {"t": 7}, "target": "w"}, "answer": {"steps": [["s", "e + 6", "e + 17"], ["e", "x + 13", "x + 30"], ["x", "y + 14", "y + 44"], ["y", "o + 15", "o + 59"], ["o", "t + 16", "t + 75"], ["t", 7, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"t": 7}, "is_reverse": true}}
| 1,559
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 15; w = s + 11; j = d + 12; n = k + 7; h = n + 9; q = h + 6; e = x + 13; t = 7; s = e + 6; x = y + 14; o = t + 16; k = t + 2; d = q + 8. If t = 7, 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 s = e + 6 to w, which gives w = e + 17.\n2. Substitute e = x + 13 to w, which gives w = x + 30.\n3. Substitute x = y + 14 to w, which gives w = y + 44.\n4. Substitute y = o + 15 to w, which gives w = o + 59.\n5. Substitute o = t + 16 to w, which gives w = t + 75.\n6. Substitute t = 7 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 1559,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 15; w = s + 11; j = d + 12; n = k + 7; h = n + 9; q = h + 6; e = x + 13; t = 7; s = e + 6; x = y + 14; o = t + 16; k = t + 2; d = q + 8. If t = 7, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"i": "p + 18", "k": "i + 5", "s": "k + 16", "x": "s + 8", "t": "x + 10", "u": "t + 2", "h": "p + 4", "j": "h + 4", "w": "j + 16", "b": "w + 12", "m": "b + 17", "z": "m + 2", "p": 7}, "premises": {"p": 7}, "target": "u"}, "answer": {"steps": [["t", "x + 10", "x + 12"], ["x", "s + 8", "s + 20"], ["s", "k + 16", "k + 36"], ["k", "i + 5", "i + 41"], ["i", "p + 18", "p + 59"], ["p", 7, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"p": 7}, "is_reverse": true}}
| 1,560
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 4; s = k + 16; t = x + 10; w = j + 16; m = b + 17; p = 7; b = w + 12; u = t + 2; j = h + 4; z = m + 2; x = s + 8; k = i + 5; i = p + 18. If p = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 10 to u, which gives u = x + 12.\n2. Substitute x = s + 8 to u, which gives u = s + 20.\n3. Substitute s = k + 16 to u, which gives u = k + 36.\n4. Substitute k = i + 5 to u, which gives u = i + 41.\n5. Substitute i = p + 18 to u, which gives u = p + 59.\n6. Substitute p = 7 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 1560,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 4; s = k + 16; t = x + 10; w = j + 16; m = b + 17; p = 7; b = w + 12; u = t + 2; j = h + 4; z = m + 2; x = s + 8; k = i + 5; i = p + 18. If p = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 19", "z": "g + 10", "v": "z + 8", "o": "v + 17", "x": "o + 13", "m": "x + 8", "t": "b + 3", "r": "t + 5", "q": "r + 1", "h": "q + 5", "j": "h + 16", "e": "j + 5", "b": 1}, "premises": {"b": 1}, "target": "m"}, "answer": {"steps": [["x", "o + 13", "o + 21"], ["o", "v + 17", "v + 38"], ["v", "z + 8", "z + 46"], ["z", "g + 10", "g + 56"], ["g", "b + 19", "b + 75"], ["b", 1, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"b": 1}, "is_reverse": true}}
| 1,561
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 5; o = v + 17; m = x + 8; b = 1; e = j + 5; t = b + 3; z = g + 10; q = r + 1; r = t + 5; v = z + 8; x = o + 13; j = h + 16; g = b + 19. If b = 1, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 13 to m, which gives m = o + 21.\n2. Substitute o = v + 17 to m, which gives m = v + 38.\n3. Substitute v = z + 8 to m, which gives m = z + 46.\n4. Substitute z = g + 10 to m, which gives m = g + 56.\n5. Substitute g = b + 19 to m, which gives m = b + 75.\n6. Substitute b = 1 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 1561,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 5; o = v + 17; m = x + 8; b = 1; e = j + 5; t = b + 3; z = g + 10; q = r + 1; r = t + 5; v = z + 8; x = o + 13; j = h + 16; g = b + 19. If b = 1, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 10", "d": "h + 10", "b": "d + 14", "a": "b + 9", "x": "a + 15", "r": "x + 10", "i": "j + 4", "s": "i + 1", "t": "s + 13", "m": "t + 12", "p": "m + 7", "w": "p + 16", "j": 9}, "premises": {"j": 9}, "target": "r"}, "answer": {"steps": [["x", "a + 15", "a + 25"], ["a", "b + 9", "b + 34"], ["b", "d + 14", "d + 48"], ["d", "h + 10", "h + 58"], ["h", "j + 10", "j + 68"], ["j", 9, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"j": 9}, "is_reverse": true}}
| 1,562
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 4; a = b + 9; h = j + 10; p = m + 7; r = x + 10; x = a + 15; m = t + 12; w = p + 16; t = s + 13; d = h + 10; s = i + 1; j = 9; b = d + 14. If j = 9, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 15 to r, which gives r = a + 25.\n2. Substitute a = b + 9 to r, which gives r = b + 34.\n3. Substitute b = d + 14 to r, which gives r = d + 48.\n4. Substitute d = h + 10 to r, which gives r = h + 58.\n5. Substitute h = j + 10 to r, which gives r = j + 68.\n6. Substitute j = 9 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 1562,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 4; a = b + 9; h = j + 10; p = m + 7; r = x + 10; x = a + 15; m = t + 12; w = p + 16; t = s + 13; d = h + 10; s = i + 1; j = 9; b = d + 14. If j = 9, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"b": "w + 20", "c": "b + 1", "x": "c + 16", "l": "x + 19", "u": "l + 5", "g": "u + 12", "t": "w + 7", "e": "t + 9", "f": "e + 2", "r": "f + 13", "p": "r + 9", "v": "p + 20", "w": 9}, "premises": {"w": 9}, "target": "g"}, "answer": {"steps": [["u", "l + 5", "l + 17"], ["l", "x + 19", "x + 36"], ["x", "c + 16", "c + 52"], ["c", "b + 1", "b + 53"], ["b", "w + 20", "w + 73"], ["w", 9, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,563
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 7; b = w + 20; u = l + 5; l = x + 19; w = 9; v = p + 20; p = r + 9; e = t + 9; g = u + 12; r = f + 13; x = c + 16; f = e + 2; c = b + 1. If w = 9, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 5 to g, which gives g = l + 17.\n2. Substitute l = x + 19 to g, which gives g = x + 36.\n3. Substitute x = c + 16 to g, which gives g = c + 52.\n4. Substitute c = b + 1 to g, which gives g = b + 53.\n5. Substitute b = w + 20 to g, which gives g = w + 73.\n6. Substitute w = 9 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 1563,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 7; b = w + 20; u = l + 5; l = x + 19; w = 9; v = p + 20; p = r + 9; e = t + 9; g = u + 12; r = f + 13; x = c + 16; f = e + 2; c = b + 1. If w = 9, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"r": "f + 9", "d": "r + 20", "u": "d + 18", "v": "u + 3", "o": "v + 17", "b": "o + 5", "h": "f + 12", "l": "h + 13", "e": "l + 10", "y": "e + 2", "m": "y + 1", "j": "m + 11", "f": 14}, "premises": {"f": 14}, "target": "b"}, "answer": {"steps": [["o", "v + 17", "v + 22"], ["v", "u + 3", "u + 25"], ["u", "d + 18", "d + 43"], ["d", "r + 20", "r + 63"], ["r", "f + 9", "f + 72"], ["f", 14, "86"]], "target_var_name": "b", "target_value": 86, "value_dict": {"f": 14}, "is_reverse": true}}
| 1,564
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 2; f = 14; r = f + 9; b = o + 5; d = r + 20; o = v + 17; l = h + 13; e = l + 10; h = f + 12; v = u + 3; m = y + 1; j = m + 11; u = d + 18. Given that f = 14, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 17 to b, which gives b = v + 22.\n2. Substitute v = u + 3 to b, which gives b = u + 25.\n3. Substitute u = d + 18 to b, which gives b = d + 43.\n4. Substitute d = r + 20 to b, which gives b = r + 63.\n5. Substitute r = f + 9 to b, which gives b = f + 72.\n6. Substitute f = 14 to b, which gives b = 86.\n\nThus, the final answer is b = \\boxed{86}.",
"index": 1564,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 2; f = 14; r = f + 9; b = o + 5; d = r + 20; o = v + 17; l = h + 13; e = l + 10; h = f + 12; v = u + 3; m = y + 1; j = m + 11; u = d + 18. Given that f = 14, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 6", "a": "y + 15", "n": "a + 15", "u": "n + 2", "d": "u + 16", "z": "d + 14", "e": "t + 1", "o": "e + 14", "f": "o + 20", "w": "f + 10", "r": "w + 3", "m": "r + 6", "t": 10}, "premises": {"t": 10}, "target": "z"}, "answer": {"steps": [["d", "u + 16", "u + 30"], ["u", "n + 2", "n + 32"], ["n", "a + 15", "a + 47"], ["a", "y + 15", "y + 62"], ["y", "t + 6", "t + 68"], ["t", 10, "78"]], "target_var_name": "z", "target_value": 78, "value_dict": {"t": 10}, "is_reverse": true}}
| 1,565
| 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 = n + 2; w = f + 10; t = 10; e = t + 1; m = r + 6; a = y + 15; d = u + 16; f = o + 20; y = t + 6; z = d + 14; n = a + 15; r = w + 3; o = e + 14. If t = 10, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 16 to z, which gives z = u + 30.\n2. Substitute u = n + 2 to z, which gives z = n + 32.\n3. Substitute n = a + 15 to z, which gives z = a + 47.\n4. Substitute a = y + 15 to z, which gives z = y + 62.\n5. Substitute y = t + 6 to z, which gives z = t + 68.\n6. Substitute t = 10 to z, which gives z = 78.\n\nThus, the final answer is z = \\boxed{78}.",
"index": 1565,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 2; w = f + 10; t = 10; e = t + 1; m = r + 6; a = y + 15; d = u + 16; f = o + 20; y = t + 6; z = d + 14; n = a + 15; r = w + 3; o = e + 14. If t = 10, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"b": "f + 1", "u": "b + 9", "h": "u + 11", "g": "h + 18", "x": "g + 19", "s": "x + 1", "l": "f + 11", "d": "l + 17", "r": "d + 4", "y": "r + 6", "v": "y + 3", "t": "v + 10", "f": 8}, "premises": {"f": 8}, "target": "s"}, "answer": {"steps": [["x", "g + 19", "g + 20"], ["g", "h + 18", "h + 38"], ["h", "u + 11", "u + 49"], ["u", "b + 9", "b + 58"], ["b", "f + 1", "f + 59"], ["f", 8, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"f": 8}, "is_reverse": true}}
| 1,566
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 19; u = b + 9; f = 8; d = l + 17; b = f + 1; s = x + 1; t = v + 10; v = y + 3; l = f + 11; g = h + 18; y = r + 6; h = u + 11; r = d + 4. Given that f = 8, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 19 to s, which gives s = g + 20.\n2. Substitute g = h + 18 to s, which gives s = h + 38.\n3. Substitute h = u + 11 to s, which gives s = u + 49.\n4. Substitute u = b + 9 to s, which gives s = b + 58.\n5. Substitute b = f + 1 to s, which gives s = f + 59.\n6. Substitute f = 8 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 1566,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 19; u = b + 9; f = 8; d = l + 17; b = f + 1; s = x + 1; t = v + 10; v = y + 3; l = f + 11; g = h + 18; y = r + 6; h = u + 11; r = d + 4. Given that f = 8, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "s + 1", "t": "v + 10", "e": "t + 1", "f": "e + 7", "m": "f + 11", "y": "m + 14", "i": "s + 18", "o": "i + 12", "h": "o + 14", "l": "h + 9", "k": "l + 15", "j": "k + 10", "s": 9}, "premises": {"s": 9}, "target": "y"}, "answer": {"steps": [["m", "f + 11", "f + 25"], ["f", "e + 7", "e + 32"], ["e", "t + 1", "t + 33"], ["t", "v + 10", "v + 43"], ["v", "s + 1", "s + 44"], ["s", 9, "53"]], "target_var_name": "y", "target_value": 53, "value_dict": {"s": 9}, "is_reverse": true}}
| 1,567
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = h + 9; i = s + 18; h = o + 14; f = e + 7; o = i + 12; y = m + 14; k = l + 15; e = t + 1; s = 9; t = v + 10; m = f + 11; v = s + 1; j = k + 10. If s = 9, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 11 to y, which gives y = f + 25.\n2. Substitute f = e + 7 to y, which gives y = e + 32.\n3. Substitute e = t + 1 to y, which gives y = t + 33.\n4. Substitute t = v + 10 to y, which gives y = v + 43.\n5. Substitute v = s + 1 to y, which gives y = s + 44.\n6. Substitute s = 9 to y, which gives y = 53.\n\nThus, the final answer is y = \\boxed{53}.",
"index": 1567,
"question": "Consider a system of variables where each variable is defined as follows: l = h + 9; i = s + 18; h = o + 14; f = e + 7; o = i + 12; y = m + 14; k = l + 15; e = t + 1; s = 9; t = v + 10; m = f + 11; v = s + 1; j = k + 10. If s = 9, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"a": "i + 16", "y": "a + 7", "g": "y + 8", "p": "g + 18", "h": "p + 9", "w": "h + 7", "n": "i + 12", "s": "n + 11", "c": "s + 5", "r": "c + 12", "v": "r + 16", "m": "v + 17", "i": 3}, "premises": {"i": 3}, "target": "w"}, "answer": {"steps": [["h", "p + 9", "p + 16"], ["p", "g + 18", "g + 34"], ["g", "y + 8", "y + 42"], ["y", "a + 7", "a + 49"], ["a", "i + 16", "i + 65"], ["i", 3, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"i": 3}, "is_reverse": true}}
| 1,568
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 16; p = g + 18; i = 3; m = v + 17; h = p + 9; c = s + 5; y = a + 7; v = r + 16; s = n + 11; r = c + 12; n = i + 12; w = h + 7; g = y + 8. If i = 3, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 9 to w, which gives w = p + 16.\n2. Substitute p = g + 18 to w, which gives w = g + 34.\n3. Substitute g = y + 8 to w, which gives w = y + 42.\n4. Substitute y = a + 7 to w, which gives w = a + 49.\n5. Substitute a = i + 16 to w, which gives w = i + 65.\n6. Substitute i = 3 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 1568,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 16; p = g + 18; i = 3; m = v + 17; h = p + 9; c = s + 5; y = a + 7; v = r + 16; s = n + 11; r = c + 12; n = i + 12; w = h + 7; g = y + 8. If i = 3, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"z": "t + 6", "q": "z + 18", "y": "q + 16", "v": "y + 10", "k": "v + 8", "u": "k + 13", "i": "t + 4", "p": "i + 8", "x": "p + 7", "l": "x + 17", "d": "l + 15", "g": "d + 17", "t": 15}, "premises": {"t": 15}, "target": "u"}, "answer": {"steps": [["k", "v + 8", "v + 21"], ["v", "y + 10", "y + 31"], ["y", "q + 16", "q + 47"], ["q", "z + 18", "z + 65"], ["z", "t + 6", "t + 71"], ["t", 15, "86"]], "target_var_name": "u", "target_value": 86, "value_dict": {"t": 15}, "is_reverse": true}}
| 1,569
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 7; k = v + 8; g = d + 17; l = x + 17; y = q + 16; z = t + 6; p = i + 8; t = 15; d = l + 15; v = y + 10; u = k + 13; i = t + 4; q = z + 18. If t = 15, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 8 to u, which gives u = v + 21.\n2. Substitute v = y + 10 to u, which gives u = y + 31.\n3. Substitute y = q + 16 to u, which gives u = q + 47.\n4. Substitute q = z + 18 to u, which gives u = z + 65.\n5. Substitute z = t + 6 to u, which gives u = t + 71.\n6. Substitute t = 15 to u, which gives u = 86.\n\nThus, the final answer is u = \\boxed{86}.",
"index": 1569,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 7; k = v + 8; g = d + 17; l = x + 17; y = q + 16; z = t + 6; p = i + 8; t = 15; d = l + 15; v = y + 10; u = k + 13; i = t + 4; q = z + 18. If t = 15, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"m": "i + 13", "b": "m + 11", "l": "b + 4", "n": "l + 7", "f": "n + 11", "v": "f + 8", "q": "i + 8", "d": "q + 15", "o": "d + 10", "k": "o + 16", "h": "k + 8", "z": "h + 14", "i": 1}, "premises": {"i": 1}, "target": "v"}, "answer": {"steps": [["f", "n + 11", "n + 19"], ["n", "l + 7", "l + 26"], ["l", "b + 4", "b + 30"], ["b", "m + 11", "m + 41"], ["m", "i + 13", "i + 54"], ["i", 1, "55"]], "target_var_name": "v", "target_value": 55, "value_dict": {"i": 1}, "is_reverse": true}}
| 1,570
| 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 = m + 11; q = i + 8; l = b + 4; i = 1; o = d + 10; h = k + 8; z = h + 14; n = l + 7; d = q + 15; v = f + 8; f = n + 11; m = i + 13; k = o + 16. If i = 1, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 11 to v, which gives v = n + 19.\n2. Substitute n = l + 7 to v, which gives v = l + 26.\n3. Substitute l = b + 4 to v, which gives v = b + 30.\n4. Substitute b = m + 11 to v, which gives v = m + 41.\n5. Substitute m = i + 13 to v, which gives v = i + 54.\n6. Substitute i = 1 to v, which gives v = 55.\n\nThus, the final answer is v = \\boxed{55}.",
"index": 1570,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 11; q = i + 8; l = b + 4; i = 1; o = d + 10; h = k + 8; z = h + 14; n = l + 7; d = q + 15; v = f + 8; f = n + 11; m = i + 13; k = o + 16. If i = 1, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 2", "p": "f + 11", "d": "p + 17", "z": "d + 7", "y": "z + 9", "g": "y + 20", "m": "j + 11", "w": "m + 11", "e": "w + 6", "t": "e + 6", "r": "t + 11", "o": "r + 15", "j": 10}, "premises": {"j": 10}, "target": "g"}, "answer": {"steps": [["y", "z + 9", "z + 29"], ["z", "d + 7", "d + 36"], ["d", "p + 17", "p + 53"], ["p", "f + 11", "f + 64"], ["f", "j + 2", "j + 66"], ["j", 10, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"j": 10}, "is_reverse": true}}
| 1,571
| 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 = r + 15; y = z + 9; g = y + 20; t = e + 6; f = j + 2; p = f + 11; r = t + 11; w = m + 11; z = d + 7; m = j + 11; e = w + 6; j = 10; d = p + 17. If j = 10, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 9 to g, which gives g = z + 29.\n2. Substitute z = d + 7 to g, which gives g = d + 36.\n3. Substitute d = p + 17 to g, which gives g = p + 53.\n4. Substitute p = f + 11 to g, which gives g = f + 64.\n5. Substitute f = j + 2 to g, which gives g = j + 66.\n6. Substitute j = 10 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 1571,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 15; y = z + 9; g = y + 20; t = e + 6; f = j + 2; p = f + 11; r = t + 11; w = m + 11; z = d + 7; m = j + 11; e = w + 6; j = 10; d = p + 17. If j = 10, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"k": "f + 11", "n": "k + 5", "i": "n + 18", "y": "i + 11", "t": "y + 18", "p": "t + 18", "x": "f + 5", "w": "x + 20", "o": "w + 8", "r": "o + 19", "s": "r + 10", "d": "s + 9", "f": 8}, "premises": {"f": 8}, "target": "p"}, "answer": {"steps": [["t", "y + 18", "y + 36"], ["y", "i + 11", "i + 47"], ["i", "n + 18", "n + 65"], ["n", "k + 5", "k + 70"], ["k", "f + 11", "f + 81"], ["f", 8, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"f": 8}, "is_reverse": true}}
| 1,572
| 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 + 5; o = w + 8; w = x + 20; k = f + 11; f = 8; d = s + 9; x = f + 5; s = r + 10; r = o + 19; p = t + 18; i = n + 18; t = y + 18; y = i + 11. If f = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 18 to p, which gives p = y + 36.\n2. Substitute y = i + 11 to p, which gives p = i + 47.\n3. Substitute i = n + 18 to p, which gives p = n + 65.\n4. Substitute n = k + 5 to p, which gives p = k + 70.\n5. Substitute k = f + 11 to p, which gives p = f + 81.\n6. Substitute f = 8 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 1572,
"question": "Consider a system of variables where each variable is defined as follows: n = k + 5; o = w + 8; w = x + 20; k = f + 11; f = 8; d = s + 9; x = f + 5; s = r + 10; r = o + 19; p = t + 18; i = n + 18; t = y + 18; y = i + 11. If f = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 13", "a": "b + 20", "l": "a + 18", "c": "l + 13", "v": "c + 19", "r": "v + 16", "s": "d + 12", "o": "s + 6", "u": "o + 18", "n": "u + 2", "e": "n + 18", "m": "e + 8", "d": 7}, "premises": {"d": 7}, "target": "r"}, "answer": {"steps": [["v", "c + 19", "c + 35"], ["c", "l + 13", "l + 48"], ["l", "a + 18", "a + 66"], ["a", "b + 20", "b + 86"], ["b", "d + 13", "d + 99"], ["d", 7, "106"]], "target_var_name": "r", "target_value": 106, "value_dict": {"d": 7}, "is_reverse": true}}
| 1,573
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 13; v = c + 19; s = d + 12; c = l + 13; n = u + 2; l = a + 18; o = s + 6; u = o + 18; m = e + 8; a = b + 20; e = n + 18; r = v + 16; d = 7. Given that d = 7, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 19 to r, which gives r = c + 35.\n2. Substitute c = l + 13 to r, which gives r = l + 48.\n3. Substitute l = a + 18 to r, which gives r = a + 66.\n4. Substitute a = b + 20 to r, which gives r = b + 86.\n5. Substitute b = d + 13 to r, which gives r = d + 99.\n6. Substitute d = 7 to r, which gives r = 106.\n\nThus, the final answer is r = \\boxed{106}.",
"index": 1573,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 13; v = c + 19; s = d + 12; c = l + 13; n = u + 2; l = a + 18; o = s + 6; u = o + 18; m = e + 8; a = b + 20; e = n + 18; r = v + 16; d = 7. Given that d = 7, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"z": "p + 1", "l": "z + 4", "k": "l + 13", "u": "k + 4", "s": "u + 11", "f": "s + 17", "m": "p + 11", "c": "m + 16", "e": "c + 13", "w": "e + 14", "n": "w + 6", "o": "n + 5", "p": 3}, "premises": {"p": 3}, "target": "f"}, "answer": {"steps": [["s", "u + 11", "u + 28"], ["u", "k + 4", "k + 32"], ["k", "l + 13", "l + 45"], ["l", "z + 4", "z + 49"], ["z", "p + 1", "p + 50"], ["p", 3, "53"]], "target_var_name": "f", "target_value": 53, "value_dict": {"p": 3}, "is_reverse": true}}
| 1,574
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = m + 16; o = n + 5; s = u + 11; f = s + 17; z = p + 1; p = 3; w = e + 14; k = l + 13; u = k + 4; e = c + 13; m = p + 11; l = z + 4; n = w + 6. If p = 3, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 53,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 11 to f, which gives f = u + 28.\n2. Substitute u = k + 4 to f, which gives f = k + 32.\n3. Substitute k = l + 13 to f, which gives f = l + 45.\n4. Substitute l = z + 4 to f, which gives f = z + 49.\n5. Substitute z = p + 1 to f, which gives f = p + 50.\n6. Substitute p = 3 to f, which gives f = 53.\n\nThus, the final answer is f = \\boxed{53}.",
"index": 1574,
"question": "Consider a system of variables where each variable is defined as follows: c = m + 16; o = n + 5; s = u + 11; f = s + 17; z = p + 1; p = 3; w = e + 14; k = l + 13; u = k + 4; e = c + 13; m = p + 11; l = z + 4; n = w + 6. If p = 3, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "x + 2", "h": "i + 7", "m": "h + 7", "p": "m + 12", "z": "p + 17", "d": "z + 8", "y": "x + 8", "n": "y + 2", "g": "n + 18", "w": "g + 3", "a": "w + 7", "l": "a + 7", "x": 5}, "premises": {"x": 5}, "target": "d"}, "answer": {"steps": [["z", "p + 17", "p + 25"], ["p", "m + 12", "m + 37"], ["m", "h + 7", "h + 44"], ["h", "i + 7", "i + 51"], ["i", "x + 2", "x + 53"], ["x", 5, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"x": 5}, "is_reverse": true}}
| 1,575
| 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 = m + 12; w = g + 3; h = i + 7; x = 5; i = x + 2; a = w + 7; l = a + 7; n = y + 2; m = h + 7; y = x + 8; d = z + 8; z = p + 17; g = n + 18. If x = 5, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 17 to d, which gives d = p + 25.\n2. Substitute p = m + 12 to d, which gives d = m + 37.\n3. Substitute m = h + 7 to d, which gives d = h + 44.\n4. Substitute h = i + 7 to d, which gives d = i + 51.\n5. Substitute i = x + 2 to d, which gives d = x + 53.\n6. Substitute x = 5 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 1575,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 12; w = g + 3; h = i + 7; x = 5; i = x + 2; a = w + 7; l = a + 7; n = y + 2; m = h + 7; y = x + 8; d = z + 8; z = p + 17; g = n + 18. If x = 5, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 15", "a": "l + 14", "m": "a + 8", "o": "m + 2", "x": "o + 2", "s": "x + 3", "h": "z + 15", "k": "h + 19", "u": "k + 10", "b": "u + 6", "e": "b + 5", "w": "e + 5", "z": 16}, "premises": {"z": 16}, "target": "s"}, "answer": {"steps": [["x", "o + 2", "o + 5"], ["o", "m + 2", "m + 7"], ["m", "a + 8", "a + 15"], ["a", "l + 14", "l + 29"], ["l", "z + 15", "z + 44"], ["z", 16, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,576
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 19; s = x + 3; u = k + 10; e = b + 5; m = a + 8; h = z + 15; w = e + 5; l = z + 15; o = m + 2; a = l + 14; b = u + 6; x = o + 2; z = 16. Given that z = 16, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 2 to s, which gives s = o + 5.\n2. Substitute o = m + 2 to s, which gives s = m + 7.\n3. Substitute m = a + 8 to s, which gives s = a + 15.\n4. Substitute a = l + 14 to s, which gives s = l + 29.\n5. Substitute l = z + 15 to s, which gives s = z + 44.\n6. Substitute z = 16 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 1576,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 19; s = x + 3; u = k + 10; e = b + 5; m = a + 8; h = z + 15; w = e + 5; l = z + 15; o = m + 2; a = l + 14; b = u + 6; x = o + 2; z = 16. Given that z = 16, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"i": "a + 8", "o": "i + 1", "k": "o + 2", "b": "k + 13", "u": "b + 13", "l": "u + 17", "c": "a + 12", "s": "c + 18", "j": "s + 19", "e": "j + 10", "y": "e + 19", "n": "y + 18", "a": 20}, "premises": {"a": 20}, "target": "l"}, "answer": {"steps": [["u", "b + 13", "b + 30"], ["b", "k + 13", "k + 43"], ["k", "o + 2", "o + 45"], ["o", "i + 1", "i + 46"], ["i", "a + 8", "a + 54"], ["a", 20, "74"]], "target_var_name": "l", "target_value": 74, "value_dict": {"a": 20}, "is_reverse": true}}
| 1,577
| 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 = u + 17; j = s + 19; c = a + 12; n = y + 18; o = i + 1; u = b + 13; a = 20; k = o + 2; s = c + 18; b = k + 13; i = a + 8; e = j + 10; y = e + 19. If a = 20, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 13 to l, which gives l = b + 30.\n2. Substitute b = k + 13 to l, which gives l = k + 43.\n3. Substitute k = o + 2 to l, which gives l = o + 45.\n4. Substitute o = i + 1 to l, which gives l = i + 46.\n5. Substitute i = a + 8 to l, which gives l = a + 54.\n6. Substitute a = 20 to l, which gives l = 74.\n\nThus, the final answer is l = \\boxed{74}.",
"index": 1577,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 17; j = s + 19; c = a + 12; n = y + 18; o = i + 1; u = b + 13; a = 20; k = o + 2; s = c + 18; b = k + 13; i = a + 8; e = j + 10; y = e + 19. If a = 20, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"a": "f + 5", "o": "a + 9", "w": "o + 18", "h": "w + 9", "y": "h + 6", "x": "y + 13", "e": "f + 1", "q": "e + 16", "d": "q + 12", "j": "d + 7", "k": "j + 4", "b": "k + 13", "f": 3}, "premises": {"f": 3}, "target": "x"}, "answer": {"steps": [["y", "h + 6", "h + 19"], ["h", "w + 9", "w + 28"], ["w", "o + 18", "o + 46"], ["o", "a + 9", "a + 55"], ["a", "f + 5", "f + 60"], ["f", 3, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"f": 3}, "is_reverse": true}}
| 1,578
| 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 + 6; o = a + 9; j = d + 7; b = k + 13; d = q + 12; h = w + 9; f = 3; x = y + 13; q = e + 16; w = o + 18; a = f + 5; k = j + 4; e = f + 1. If f = 3, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 6 to x, which gives x = h + 19.\n2. Substitute h = w + 9 to x, which gives x = w + 28.\n3. Substitute w = o + 18 to x, which gives x = o + 46.\n4. Substitute o = a + 9 to x, which gives x = a + 55.\n5. Substitute a = f + 5 to x, which gives x = f + 60.\n6. Substitute f = 3 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 1578,
"question": "Consider a system of variables where each variable is defined as follows: y = h + 6; o = a + 9; j = d + 7; b = k + 13; d = q + 12; h = w + 9; f = 3; x = y + 13; q = e + 16; w = o + 18; a = f + 5; k = j + 4; e = f + 1. If f = 3, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"i": "t + 4", "e": "i + 18", "d": "e + 17", "w": "d + 17", "s": "w + 6", "f": "s + 10", "n": "t + 5", "j": "n + 18", "r": "j + 10", "o": "r + 19", "h": "o + 15", "p": "h + 2", "t": 14}, "premises": {"t": 14}, "target": "f"}, "answer": {"steps": [["s", "w + 6", "w + 16"], ["w", "d + 17", "d + 33"], ["d", "e + 17", "e + 50"], ["e", "i + 18", "i + 68"], ["i", "t + 4", "t + 72"], ["t", 14, "86"]], "target_var_name": "f", "target_value": 86, "value_dict": {"t": 14}, "is_reverse": true}}
| 1,579
| 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 = h + 2; w = d + 17; s = w + 6; i = t + 4; o = r + 19; n = t + 5; f = s + 10; d = e + 17; r = j + 10; h = o + 15; j = n + 18; t = 14; e = i + 18. If t = 14, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 6 to f, which gives f = w + 16.\n2. Substitute w = d + 17 to f, which gives f = d + 33.\n3. Substitute d = e + 17 to f, which gives f = e + 50.\n4. Substitute e = i + 18 to f, which gives f = i + 68.\n5. Substitute i = t + 4 to f, which gives f = t + 72.\n6. Substitute t = 14 to f, which gives f = 86.\n\nThus, the final answer is f = \\boxed{86}.",
"index": 1579,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 2; w = d + 17; s = w + 6; i = t + 4; o = r + 19; n = t + 5; f = s + 10; d = e + 17; r = j + 10; h = o + 15; j = n + 18; t = 14; e = i + 18. If t = 14, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "h + 4", "a": "b + 11", "e": "a + 14", "p": "e + 19", "v": "p + 17", "z": "v + 1", "s": "h + 3", "f": "s + 18", "l": "f + 8", "i": "l + 12", "r": "i + 15", "m": "r + 6", "h": 5}, "premises": {"h": 5}, "target": "z"}, "answer": {"steps": [["v", "p + 17", "p + 18"], ["p", "e + 19", "e + 37"], ["e", "a + 14", "a + 51"], ["a", "b + 11", "b + 62"], ["b", "h + 4", "h + 66"], ["h", 5, "71"]], "target_var_name": "z", "target_value": 71, "value_dict": {"h": 5}, "is_reverse": true}}
| 1,580
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 1; b = h + 4; r = i + 15; f = s + 18; s = h + 3; v = p + 17; l = f + 8; a = b + 11; m = r + 6; p = e + 19; h = 5; i = l + 12; e = a + 14. Given that h = 5, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 17 to z, which gives z = p + 18.\n2. Substitute p = e + 19 to z, which gives z = e + 37.\n3. Substitute e = a + 14 to z, which gives z = a + 51.\n4. Substitute a = b + 11 to z, which gives z = b + 62.\n5. Substitute b = h + 4 to z, which gives z = h + 66.\n6. Substitute h = 5 to z, which gives z = 71.\n\nThus, the final answer is z = \\boxed{71}.",
"index": 1580,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 1; b = h + 4; r = i + 15; f = s + 18; s = h + 3; v = p + 17; l = f + 8; a = b + 11; m = r + 6; p = e + 19; h = 5; i = l + 12; e = a + 14. Given that h = 5, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"y": "k + 3", "z": "y + 18", "t": "z + 2", "q": "t + 8", "o": "q + 9", "f": "o + 9", "h": "k + 12", "s": "h + 1", "c": "s + 8", "d": "c + 13", "l": "d + 4", "i": "l + 6", "k": 1}, "premises": {"k": 1}, "target": "f"}, "answer": {"steps": [["o", "q + 9", "q + 18"], ["q", "t + 8", "t + 26"], ["t", "z + 2", "z + 28"], ["z", "y + 18", "y + 46"], ["y", "k + 3", "k + 49"], ["k", 1, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"k": 1}, "is_reverse": true}}
| 1,581
| 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 = z + 2; q = t + 8; o = q + 9; z = y + 18; k = 1; d = c + 13; c = s + 8; s = h + 1; i = l + 6; h = k + 12; y = k + 3; l = d + 4; f = o + 9. If k = 1, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = q + 9 to f, which gives f = q + 18.\n2. Substitute q = t + 8 to f, which gives f = t + 26.\n3. Substitute t = z + 2 to f, which gives f = z + 28.\n4. Substitute z = y + 18 to f, which gives f = y + 46.\n5. Substitute y = k + 3 to f, which gives f = k + 49.\n6. Substitute k = 1 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 1581,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 2; q = t + 8; o = q + 9; z = y + 18; k = 1; d = c + 13; c = s + 8; s = h + 1; i = l + 6; h = k + 12; y = k + 3; l = d + 4; f = o + 9. If k = 1, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 4", "g": "e + 8", "o": "g + 6", "m": "o + 19", "h": "m + 5", "p": "h + 2", "j": "u + 3", "q": "j + 18", "b": "q + 12", "l": "b + 9", "w": "l + 19", "d": "w + 14", "u": 11}, "premises": {"u": 11}, "target": "p"}, "answer": {"steps": [["h", "m + 5", "m + 7"], ["m", "o + 19", "o + 26"], ["o", "g + 6", "g + 32"], ["g", "e + 8", "e + 40"], ["e", "u + 4", "u + 44"], ["u", 11, "55"]], "target_var_name": "p", "target_value": 55, "value_dict": {"u": 11}, "is_reverse": true}}
| 1,582
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = u + 3; q = j + 18; b = q + 12; e = u + 4; d = w + 14; p = h + 2; o = g + 6; g = e + 8; w = l + 19; m = o + 19; l = b + 9; u = 11; h = m + 5. If u = 11, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 5 to p, which gives p = m + 7.\n2. Substitute m = o + 19 to p, which gives p = o + 26.\n3. Substitute o = g + 6 to p, which gives p = g + 32.\n4. Substitute g = e + 8 to p, which gives p = e + 40.\n5. Substitute e = u + 4 to p, which gives p = u + 44.\n6. Substitute u = 11 to p, which gives p = 55.\n\nThus, the final answer is p = \\boxed{55}.",
"index": 1582,
"question": "Consider a system of variables where each variable is defined as follows: j = u + 3; q = j + 18; b = q + 12; e = u + 4; d = w + 14; p = h + 2; o = g + 6; g = e + 8; w = l + 19; m = o + 19; l = b + 9; u = 11; h = m + 5. If u = 11, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "y + 1", "b": "f + 3", "o": "b + 3", "m": "o + 6", "l": "m + 14", "v": "l + 10", "u": "y + 19", "t": "u + 19", "p": "t + 17", "c": "p + 6", "e": "c + 13", "s": "e + 1", "y": 12}, "premises": {"y": 12}, "target": "v"}, "answer": {"steps": [["l", "m + 14", "m + 24"], ["m", "o + 6", "o + 30"], ["o", "b + 3", "b + 33"], ["b", "f + 3", "f + 36"], ["f", "y + 1", "y + 37"], ["y", 12, "49"]], "target_var_name": "v", "target_value": 49, "value_dict": {"y": 12}, "is_reverse": true}}
| 1,583
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = u + 19; b = f + 3; l = m + 14; c = p + 6; u = y + 19; e = c + 13; f = y + 1; v = l + 10; o = b + 3; s = e + 1; y = 12; p = t + 17; m = o + 6. Given that y = 12, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 14 to v, which gives v = m + 24.\n2. Substitute m = o + 6 to v, which gives v = o + 30.\n3. Substitute o = b + 3 to v, which gives v = b + 33.\n4. Substitute b = f + 3 to v, which gives v = f + 36.\n5. Substitute f = y + 1 to v, which gives v = y + 37.\n6. Substitute y = 12 to v, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 1583,
"question": "Suppose a collection of variables is related by the following definitions: t = u + 19; b = f + 3; l = m + 14; c = p + 6; u = y + 19; e = c + 13; f = y + 1; v = l + 10; o = b + 3; s = e + 1; y = 12; p = t + 17; m = o + 6. Given that y = 12, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"q": "y + 14", "v": "q + 5", "x": "v + 19", "h": "x + 18", "t": "h + 17", "k": "t + 4", "p": "y + 11", "o": "p + 17", "f": "o + 20", "e": "f + 17", "b": "e + 19", "j": "b + 16", "y": 7}, "premises": {"y": 7}, "target": "k"}, "answer": {"steps": [["t", "h + 17", "h + 21"], ["h", "x + 18", "x + 39"], ["x", "v + 19", "v + 58"], ["v", "q + 5", "q + 63"], ["q", "y + 14", "y + 77"], ["y", 7, "84"]], "target_var_name": "k", "target_value": 84, "value_dict": {"y": 7}, "is_reverse": true}}
| 1,584
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 4; v = q + 5; f = o + 20; t = h + 17; j = b + 16; p = y + 11; b = e + 19; y = 7; x = v + 19; o = p + 17; e = f + 17; h = x + 18; q = y + 14. If y = 7, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 17 to k, which gives k = h + 21.\n2. Substitute h = x + 18 to k, which gives k = x + 39.\n3. Substitute x = v + 19 to k, which gives k = v + 58.\n4. Substitute v = q + 5 to k, which gives k = q + 63.\n5. Substitute q = y + 14 to k, which gives k = y + 77.\n6. Substitute y = 7 to k, which gives k = 84.\n\nThus, the final answer is k = \\boxed{84}.",
"index": 1584,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = t + 4; v = q + 5; f = o + 20; t = h + 17; j = b + 16; p = y + 11; b = e + 19; y = 7; x = v + 19; o = p + 17; e = f + 17; h = x + 18; q = y + 14. If y = 7, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"f": "z + 17", "q": "f + 10", "o": "q + 10", "j": "o + 10", "x": "j + 15", "a": "x + 7", "h": "z + 19", "p": "h + 2", "v": "p + 4", "c": "v + 7", "y": "c + 11", "w": "y + 1", "z": 12}, "premises": {"z": 12}, "target": "a"}, "answer": {"steps": [["x", "j + 15", "j + 22"], ["j", "o + 10", "o + 32"], ["o", "q + 10", "q + 42"], ["q", "f + 10", "f + 52"], ["f", "z + 17", "z + 69"], ["z", 12, "81"]], "target_var_name": "a", "target_value": 81, "value_dict": {"z": 12}, "is_reverse": true}}
| 1,585
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 15; z = 12; c = v + 7; j = o + 10; q = f + 10; v = p + 4; w = y + 1; o = q + 10; y = c + 11; a = x + 7; f = z + 17; h = z + 19; p = h + 2. Given that z = 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 x = j + 15 to a, which gives a = j + 22.\n2. Substitute j = o + 10 to a, which gives a = o + 32.\n3. Substitute o = q + 10 to a, which gives a = q + 42.\n4. Substitute q = f + 10 to a, which gives a = f + 52.\n5. Substitute f = z + 17 to a, which gives a = z + 69.\n6. Substitute z = 12 to a, which gives a = 81.\n\nThus, the final answer is a = \\boxed{81}.",
"index": 1585,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 15; z = 12; c = v + 7; j = o + 10; q = f + 10; v = p + 4; w = y + 1; o = q + 10; y = c + 11; a = x + 7; f = z + 17; h = z + 19; p = h + 2. Given that z = 12, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"b": "a + 19", "j": "b + 14", "n": "j + 18", "t": "n + 1", "p": "t + 17", "z": "p + 7", "v": "a + 7", "u": "v + 13", "l": "u + 1", "e": "l + 7", "r": "e + 1", "f": "r + 5", "a": 1}, "premises": {"a": 1}, "target": "z"}, "answer": {"steps": [["p", "t + 17", "t + 24"], ["t", "n + 1", "n + 25"], ["n", "j + 18", "j + 43"], ["j", "b + 14", "b + 57"], ["b", "a + 19", "a + 76"], ["a", 1, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"a": 1}, "is_reverse": true}}
| 1,586
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 18; f = r + 5; t = n + 1; p = t + 17; e = l + 7; r = e + 1; b = a + 19; u = v + 13; l = u + 1; v = a + 7; j = b + 14; a = 1; z = p + 7. If a = 1, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 17 to z, which gives z = t + 24.\n2. Substitute t = n + 1 to z, which gives z = n + 25.\n3. Substitute n = j + 18 to z, which gives z = j + 43.\n4. Substitute j = b + 14 to z, which gives z = b + 57.\n5. Substitute b = a + 19 to z, which gives z = a + 76.\n6. Substitute a = 1 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 1586,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 18; f = r + 5; t = n + 1; p = t + 17; e = l + 7; r = e + 1; b = a + 19; u = v + 13; l = u + 1; v = a + 7; j = b + 14; a = 1; z = p + 7. If a = 1, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"g": "z + 18", "d": "g + 3", "i": "d + 2", "p": "i + 11", "y": "p + 16", "n": "y + 12", "x": "z + 5", "v": "x + 5", "o": "v + 14", "t": "o + 19", "r": "t + 16", "c": "r + 15", "z": 2}, "premises": {"z": 2}, "target": "n"}, "answer": {"steps": [["y", "p + 16", "p + 28"], ["p", "i + 11", "i + 39"], ["i", "d + 2", "d + 41"], ["d", "g + 3", "g + 44"], ["g", "z + 18", "z + 62"], ["z", 2, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"z": 2}, "is_reverse": true}}
| 1,587
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = d + 2; n = y + 12; x = z + 5; r = t + 16; g = z + 18; p = i + 11; v = x + 5; z = 2; y = p + 16; d = g + 3; t = o + 19; c = r + 15; o = v + 14. If z = 2, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 16 to n, which gives n = p + 28.\n2. Substitute p = i + 11 to n, which gives n = i + 39.\n3. Substitute i = d + 2 to n, which gives n = d + 41.\n4. Substitute d = g + 3 to n, which gives n = g + 44.\n5. Substitute g = z + 18 to n, which gives n = z + 62.\n6. Substitute z = 2 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 1587,
"question": "Consider a system of variables where each variable is defined as follows: i = d + 2; n = y + 12; x = z + 5; r = t + 16; g = z + 18; p = i + 11; v = x + 5; z = 2; y = p + 16; d = g + 3; t = o + 19; c = r + 15; o = v + 14. If z = 2, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 20", "s": "p + 2", "q": "s + 16", "x": "q + 12", "i": "x + 14", "d": "i + 16", "y": "u + 10", "n": "y + 18", "k": "n + 8", "l": "k + 6", "a": "l + 3", "o": "a + 12", "u": 16}, "premises": {"u": 16}, "target": "d"}, "answer": {"steps": [["i", "x + 14", "x + 30"], ["x", "q + 12", "q + 42"], ["q", "s + 16", "s + 58"], ["s", "p + 2", "p + 60"], ["p", "u + 20", "u + 80"], ["u", 16, "96"]], "target_var_name": "d", "target_value": 96, "value_dict": {"u": 16}, "is_reverse": true}}
| 1,588
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 12; a = l + 3; u = 16; i = x + 14; d = i + 16; k = n + 8; p = u + 20; l = k + 6; y = u + 10; s = p + 2; x = q + 12; q = s + 16; n = y + 18. Given that u = 16, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 14 to d, which gives d = x + 30.\n2. Substitute x = q + 12 to d, which gives d = q + 42.\n3. Substitute q = s + 16 to d, which gives d = s + 58.\n4. Substitute s = p + 2 to d, which gives d = p + 60.\n5. Substitute p = u + 20 to d, which gives d = u + 80.\n6. Substitute u = 16 to d, which gives d = 96.\n\nThus, the final answer is d = \\boxed{96}.",
"index": 1588,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 12; a = l + 3; u = 16; i = x + 14; d = i + 16; k = n + 8; p = u + 20; l = k + 6; y = u + 10; s = p + 2; x = q + 12; q = s + 16; n = y + 18. Given that u = 16, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"r": "y + 2", "c": "r + 3", "t": "c + 6", "m": "t + 4", "o": "m + 11", "b": "o + 12", "q": "y + 9", "i": "q + 12", "a": "i + 16", "d": "a + 18", "l": "d + 1", "u": "l + 3", "y": 12}, "premises": {"y": 12}, "target": "b"}, "answer": {"steps": [["o", "m + 11", "m + 23"], ["m", "t + 4", "t + 27"], ["t", "c + 6", "c + 33"], ["c", "r + 3", "r + 36"], ["r", "y + 2", "y + 38"], ["y", 12, "50"]], "target_var_name": "b", "target_value": 50, "value_dict": {"y": 12}, "is_reverse": true}}
| 1,589
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 6; y = 12; o = m + 11; a = i + 16; c = r + 3; i = q + 12; m = t + 4; r = y + 2; b = o + 12; d = a + 18; q = y + 9; u = l + 3; l = d + 1. If y = 12, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = m + 11 to b, which gives b = m + 23.\n2. Substitute m = t + 4 to b, which gives b = t + 27.\n3. Substitute t = c + 6 to b, which gives b = c + 33.\n4. Substitute c = r + 3 to b, which gives b = r + 36.\n5. Substitute r = y + 2 to b, which gives b = y + 38.\n6. Substitute y = 12 to b, which gives b = 50.\n\nThus, the final answer is b = \\boxed{50}.",
"index": 1589,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 6; y = 12; o = m + 11; a = i + 16; c = r + 3; i = q + 12; m = t + 4; r = y + 2; b = o + 12; d = a + 18; q = y + 9; u = l + 3; l = d + 1. If y = 12, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"w": "l + 5", "c": "w + 10", "h": "c + 2", "d": "h + 16", "o": "d + 6", "x": "o + 1", "n": "l + 18", "q": "n + 15", "v": "q + 4", "f": "v + 7", "a": "f + 14", "s": "a + 12", "l": 6}, "premises": {"l": 6}, "target": "x"}, "answer": {"steps": [["o", "d + 6", "d + 7"], ["d", "h + 16", "h + 23"], ["h", "c + 2", "c + 25"], ["c", "w + 10", "w + 35"], ["w", "l + 5", "l + 40"], ["l", 6, "46"]], "target_var_name": "x", "target_value": 46, "value_dict": {"l": 6}, "is_reverse": true}}
| 1,590
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 10; l = 6; x = o + 1; o = d + 6; d = h + 16; v = q + 4; s = a + 12; n = l + 18; a = f + 14; h = c + 2; q = n + 15; w = l + 5; f = v + 7. If l = 6, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 46,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = d + 6 to x, which gives x = d + 7.\n2. Substitute d = h + 16 to x, which gives x = h + 23.\n3. Substitute h = c + 2 to x, which gives x = c + 25.\n4. Substitute c = w + 10 to x, which gives x = w + 35.\n5. Substitute w = l + 5 to x, which gives x = l + 40.\n6. Substitute l = 6 to x, which gives x = 46.\n\nThus, the final answer is x = \\boxed{46}.",
"index": 1590,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 10; l = 6; x = o + 1; o = d + 6; d = h + 16; v = q + 4; s = a + 12; n = l + 18; a = f + 14; h = c + 2; q = n + 15; w = l + 5; f = v + 7. If l = 6, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "a + 15", "g": "c + 20", "l": "g + 17", "t": "l + 13", "h": "t + 11", "f": "h + 12", "x": "a + 15", "m": "x + 16", "p": "m + 2", "q": "p + 4", "n": "q + 16", "v": "n + 17", "a": 5}, "premises": {"a": 5}, "target": "f"}, "answer": {"steps": [["h", "t + 11", "t + 23"], ["t", "l + 13", "l + 36"], ["l", "g + 17", "g + 53"], ["g", "c + 20", "c + 73"], ["c", "a + 15", "a + 88"], ["a", 5, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"a": 5}, "is_reverse": true}}
| 1,591
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 16; v = n + 17; g = c + 20; c = a + 15; x = a + 15; p = m + 2; f = h + 12; a = 5; t = l + 13; q = p + 4; m = x + 16; l = g + 17; h = t + 11. If a = 5, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 11 to f, which gives f = t + 23.\n2. Substitute t = l + 13 to f, which gives f = l + 36.\n3. Substitute l = g + 17 to f, which gives f = g + 53.\n4. Substitute g = c + 20 to f, which gives f = c + 73.\n5. Substitute c = a + 15 to f, which gives f = a + 88.\n6. Substitute a = 5 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 1591,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 16; v = n + 17; g = c + 20; c = a + 15; x = a + 15; p = m + 2; f = h + 12; a = 5; t = l + 13; q = p + 4; m = x + 16; l = g + 17; h = t + 11. If a = 5, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 1", "h": "b + 16", "k": "h + 4", "y": "k + 4", "o": "y + 17", "w": "o + 17", "s": "x + 11", "v": "s + 7", "q": "v + 12", "u": "q + 6", "z": "u + 5", "g": "z + 16", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["o", "y + 17", "y + 34"], ["y", "k + 4", "k + 38"], ["k", "h + 4", "h + 42"], ["h", "b + 16", "b + 58"], ["b", "x + 1", "x + 59"], ["x", 12, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"x": 12}, "is_reverse": true}}
| 1,592
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 4; o = y + 17; q = v + 12; h = b + 16; x = 12; u = q + 6; g = z + 16; w = o + 17; v = s + 7; z = u + 5; y = k + 4; s = x + 11; b = x + 1. If x = 12, what is the resulting 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 o = y + 17 to w, which gives w = y + 34.\n2. Substitute y = k + 4 to w, which gives w = k + 38.\n3. Substitute k = h + 4 to w, which gives w = h + 42.\n4. Substitute h = b + 16 to w, which gives w = b + 58.\n5. Substitute b = x + 1 to w, which gives w = x + 59.\n6. Substitute x = 12 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 1592,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = h + 4; o = y + 17; q = v + 12; h = b + 16; x = 12; u = q + 6; g = z + 16; w = o + 17; v = s + 7; z = u + 5; y = k + 4; s = x + 11; b = x + 1. If x = 12, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 9", "u": "l + 18", "b": "u + 16", "h": "b + 16", "c": "h + 17", "t": "c + 4", "p": "k + 5", "v": "p + 17", "n": "v + 20", "s": "n + 18", "o": "s + 13", "f": "o + 15", "k": 1}, "premises": {"k": 1}, "target": "t"}, "answer": {"steps": [["c", "h + 17", "h + 21"], ["h", "b + 16", "b + 37"], ["b", "u + 16", "u + 53"], ["u", "l + 18", "l + 71"], ["l", "k + 9", "k + 80"], ["k", 1, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"k": 1}, "is_reverse": true}}
| 1,593
| 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 = s + 13; c = h + 17; p = k + 5; s = n + 18; b = u + 16; v = p + 17; u = l + 18; l = k + 9; t = c + 4; f = o + 15; n = v + 20; h = b + 16; k = 1. If k = 1, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 17 to t, which gives t = h + 21.\n2. Substitute h = b + 16 to t, which gives t = b + 37.\n3. Substitute b = u + 16 to t, which gives t = u + 53.\n4. Substitute u = l + 18 to t, which gives t = l + 71.\n5. Substitute l = k + 9 to t, which gives t = k + 80.\n6. Substitute k = 1 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 1593,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = s + 13; c = h + 17; p = k + 5; s = n + 18; b = u + 16; v = p + 17; u = l + 18; l = k + 9; t = c + 4; f = o + 15; n = v + 20; h = b + 16; k = 1. If k = 1, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 19", "q": "h + 1", "v": "q + 7", "y": "v + 19", "s": "y + 14", "g": "s + 7", "d": "o + 10", "e": "d + 8", "x": "e + 1", "f": "x + 15", "u": "f + 8", "p": "u + 13", "o": 19}, "premises": {"o": 19}, "target": "g"}, "answer": {"steps": [["s", "y + 14", "y + 21"], ["y", "v + 19", "v + 40"], ["v", "q + 7", "q + 47"], ["q", "h + 1", "h + 48"], ["h", "o + 19", "o + 67"], ["o", 19, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"o": 19}, "is_reverse": true}}
| 1,594
| 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 = q + 7; h = o + 19; x = e + 1; s = y + 14; e = d + 8; q = h + 1; g = s + 7; p = u + 13; u = f + 8; o = 19; f = x + 15; y = v + 19; d = o + 10. If o = 19, what is the resulting value of g?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 14 to g, which gives g = y + 21.\n2. Substitute y = v + 19 to g, which gives g = v + 40.\n3. Substitute v = q + 7 to g, which gives g = q + 47.\n4. Substitute q = h + 1 to g, which gives g = h + 48.\n5. Substitute h = o + 19 to g, which gives g = o + 67.\n6. Substitute o = 19 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 1594,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = q + 7; h = o + 19; x = e + 1; s = y + 14; e = d + 8; q = h + 1; g = s + 7; p = u + 13; u = f + 8; o = 19; f = x + 15; y = v + 19; d = o + 10. If o = 19, what is the resulting value of g?",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 5", "m": "l + 3", "x": "m + 15", "u": "x + 2", "h": "u + 15", "k": "h + 13", "t": "c + 9", "a": "t + 10", "e": "a + 7", "s": "e + 19", "q": "s + 9", "o": "q + 10", "c": 8}, "premises": {"c": 8}, "target": "k"}, "answer": {"steps": [["h", "u + 15", "u + 28"], ["u", "x + 2", "x + 30"], ["x", "m + 15", "m + 45"], ["m", "l + 3", "l + 48"], ["l", "c + 5", "c + 53"], ["c", 8, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"c": 8}, "is_reverse": true}}
| 1,595
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = 8; a = t + 10; u = x + 2; s = e + 19; l = c + 5; m = l + 3; k = h + 13; t = c + 9; q = s + 9; o = q + 10; h = u + 15; e = a + 7; x = m + 15. If c = 8, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 15 to k, which gives k = u + 28.\n2. Substitute u = x + 2 to k, which gives k = x + 30.\n3. Substitute x = m + 15 to k, which gives k = m + 45.\n4. Substitute m = l + 3 to k, which gives k = l + 48.\n5. Substitute l = c + 5 to k, which gives k = c + 53.\n6. Substitute c = 8 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 1595,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = 8; a = t + 10; u = x + 2; s = e + 19; l = c + 5; m = l + 3; k = h + 13; t = c + 9; q = s + 9; o = q + 10; h = u + 15; e = a + 7; x = m + 15. If c = 8, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 1", "b": "k + 8", "n": "b + 9", "u": "n + 15", "d": "u + 17", "j": "d + 13", "l": "c + 1", "s": "l + 4", "z": "s + 4", "p": "z + 3", "h": "p + 15", "g": "h + 6", "c": 15}, "premises": {"c": 15}, "target": "j"}, "answer": {"steps": [["d", "u + 17", "u + 30"], ["u", "n + 15", "n + 45"], ["n", "b + 9", "b + 54"], ["b", "k + 8", "k + 62"], ["k", "c + 1", "c + 63"], ["c", 15, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"c": 15}, "is_reverse": true}}
| 1,596
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 4; h = p + 15; k = c + 1; u = n + 15; c = 15; p = z + 3; n = b + 9; j = d + 13; g = h + 6; l = c + 1; z = s + 4; b = k + 8; d = u + 17. Given that c = 15, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 17 to j, which gives j = u + 30.\n2. Substitute u = n + 15 to j, which gives j = n + 45.\n3. Substitute n = b + 9 to j, which gives j = b + 54.\n4. Substitute b = k + 8 to j, which gives j = k + 62.\n5. Substitute k = c + 1 to j, which gives j = c + 63.\n6. Substitute c = 15 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 1596,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 4; h = p + 15; k = c + 1; u = n + 15; c = 15; p = z + 3; n = b + 9; j = d + 13; g = h + 6; l = c + 1; z = s + 4; b = k + 8; d = u + 17. Given that c = 15, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"r": "i + 14", "q": "r + 4", "f": "q + 5", "o": "f + 17", "x": "o + 19", "s": "x + 17", "z": "i + 5", "j": "z + 13", "d": "j + 6", "t": "d + 2", "a": "t + 11", "w": "a + 6", "i": 13}, "premises": {"i": 13}, "target": "s"}, "answer": {"steps": [["x", "o + 19", "o + 36"], ["o", "f + 17", "f + 53"], ["f", "q + 5", "q + 58"], ["q", "r + 4", "r + 62"], ["r", "i + 14", "i + 76"], ["i", 13, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"i": 13}, "is_reverse": true}}
| 1,597
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 17; s = x + 17; x = o + 19; t = d + 2; i = 13; a = t + 11; d = j + 6; r = i + 14; w = a + 6; q = r + 4; f = q + 5; z = i + 5; j = z + 13. If i = 13, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = o + 19 to s, which gives s = o + 36.\n2. Substitute o = f + 17 to s, which gives s = f + 53.\n3. Substitute f = q + 5 to s, which gives s = q + 58.\n4. Substitute q = r + 4 to s, which gives s = r + 62.\n5. Substitute r = i + 14 to s, which gives s = i + 76.\n6. Substitute i = 13 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 1597,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 17; s = x + 17; x = o + 19; t = d + 2; i = 13; a = t + 11; d = j + 6; r = i + 14; w = a + 6; q = r + 4; f = q + 5; z = i + 5; j = z + 13. If i = 13, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"c": "p + 11", "b": "c + 3", "k": "b + 13", "v": "k + 16", "l": "v + 13", "n": "l + 3", "u": "p + 3", "f": "u + 14", "y": "f + 4", "q": "y + 15", "m": "q + 6", "j": "m + 10", "p": 2}, "premises": {"p": 2}, "target": "n"}, "answer": {"steps": [["l", "v + 13", "v + 16"], ["v", "k + 16", "k + 32"], ["k", "b + 13", "b + 45"], ["b", "c + 3", "c + 48"], ["c", "p + 11", "p + 59"], ["p", 2, "61"]], "target_var_name": "n", "target_value": 61, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,598
| 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 = v + 13; j = m + 10; q = y + 15; m = q + 6; f = u + 14; c = p + 11; u = p + 3; p = 2; y = f + 4; n = l + 3; k = b + 13; v = k + 16; b = c + 3. If p = 2, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 13 to n, which gives n = v + 16.\n2. Substitute v = k + 16 to n, which gives n = k + 32.\n3. Substitute k = b + 13 to n, which gives n = b + 45.\n4. Substitute b = c + 3 to n, which gives n = c + 48.\n5. Substitute c = p + 11 to n, which gives n = p + 59.\n6. Substitute p = 2 to n, which gives n = 61.\n\nThus, the final answer is n = \\boxed{61}.",
"index": 1598,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = v + 13; j = m + 10; q = y + 15; m = q + 6; f = u + 14; c = p + 11; u = p + 3; p = 2; y = f + 4; n = l + 3; k = b + 13; v = k + 16; b = c + 3. If p = 2, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 12", "z": "w + 19", "j": "z + 20", "c": "j + 14", "q": "c + 9", "h": "q + 17", "l": "i + 15", "t": "l + 1", "p": "t + 15", "k": "p + 12", "g": "k + 10", "m": "g + 4", "i": 7}, "premises": {"i": 7}, "target": "h"}, "answer": {"steps": [["q", "c + 9", "c + 26"], ["c", "j + 14", "j + 40"], ["j", "z + 20", "z + 60"], ["z", "w + 19", "w + 79"], ["w", "i + 12", "i + 91"], ["i", 7, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"i": 7}, "is_reverse": true}}
| 1,599
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 15; l = i + 15; i = 7; m = g + 4; q = c + 9; t = l + 1; k = p + 12; g = k + 10; z = w + 19; j = z + 20; h = q + 17; c = j + 14; w = i + 12. If i = 7, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 9 to h, which gives h = c + 26.\n2. Substitute c = j + 14 to h, which gives h = j + 40.\n3. Substitute j = z + 20 to h, which gives h = z + 60.\n4. Substitute z = w + 19 to h, which gives h = w + 79.\n5. Substitute w = i + 12 to h, which gives h = i + 91.\n6. Substitute i = 7 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 1599,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 15; l = i + 15; i = 7; m = g + 4; q = c + 9; t = l + 1; k = p + 12; g = k + 10; z = w + 19; j = z + 20; h = q + 17; c = j + 14; w = i + 12. If i = 7, determine the value of h.",
"split": "train"
}
|
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