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25.6k
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stringclasses 1
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listlengths 1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"y": "r + 13", "g": "y + 5", "s": "g + 4", "j": "s + 12", "u": "j + 18", "d": "u + 3", "q": "r + 4", "e": "q + 11", "b": "e + 17", "i": "b + 17", "h": "i + 13", "l": "h + 3", "r": 10}, "premises": {"r": 10}, "target": "d"}, "answer": {"steps": [["u", "j + 18", "j + 21"], ["j", "s + 12", "s + 33"], ["s", "g + 4", "g + 37"], ["g", "y + 5", "y + 42"], ["y", "r + 13", "r + 55"], ["r", 10, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"r": 10}, "is_reverse": true}}
| 1,800
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 17; y = r + 13; e = q + 11; h = i + 13; j = s + 12; l = h + 3; u = j + 18; s = g + 4; r = 10; g = y + 5; q = r + 4; b = e + 17; d = u + 3. Given that r = 10, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 18 to d, which gives d = j + 21.\n2. Substitute j = s + 12 to d, which gives d = s + 33.\n3. Substitute s = g + 4 to d, which gives d = g + 37.\n4. Substitute g = y + 5 to d, which gives d = y + 42.\n5. Substitute y = r + 13 to d, which gives d = r + 55.\n6. Substitute r = 10 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 1800,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 17; y = r + 13; e = q + 11; h = i + 13; j = s + 12; l = h + 3; u = j + 18; s = g + 4; r = 10; g = y + 5; q = r + 4; b = e + 17; d = u + 3. Given that r = 10, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 10", "a": "q + 15", "r": "a + 13", "c": "r + 16", "f": "c + 7", "h": "f + 8", "s": "x + 11", "i": "s + 15", "e": "i + 20", "j": "e + 1", "o": "j + 4", "p": "o + 14", "x": 5}, "premises": {"x": 5}, "target": "h"}, "answer": {"steps": [["f", "c + 7", "c + 15"], ["c", "r + 16", "r + 31"], ["r", "a + 13", "a + 44"], ["a", "q + 15", "q + 59"], ["q", "x + 10", "x + 69"], ["x", 5, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"x": 5}, "is_reverse": true}}
| 1,801
| 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 = x + 10; c = r + 16; f = c + 7; a = q + 15; r = a + 13; s = x + 11; j = e + 1; h = f + 8; p = o + 14; x = 5; i = s + 15; e = i + 20; o = j + 4. If x = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 7 to h, which gives h = c + 15.\n2. Substitute c = r + 16 to h, which gives h = r + 31.\n3. Substitute r = a + 13 to h, which gives h = a + 44.\n4. Substitute a = q + 15 to h, which gives h = q + 59.\n5. Substitute q = x + 10 to h, which gives h = x + 69.\n6. Substitute x = 5 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 1801,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 10; c = r + 16; f = c + 7; a = q + 15; r = a + 13; s = x + 11; j = e + 1; h = f + 8; p = o + 14; x = 5; i = s + 15; e = i + 20; o = j + 4. If x = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"r": "k + 10", "d": "r + 17", "v": "d + 19", "a": "v + 9", "p": "a + 8", "z": "p + 16", "n": "k + 15", "e": "n + 17", "t": "e + 3", "f": "t + 19", "x": "f + 15", "j": "x + 17", "k": 14}, "premises": {"k": 14}, "target": "z"}, "answer": {"steps": [["p", "a + 8", "a + 24"], ["a", "v + 9", "v + 33"], ["v", "d + 19", "d + 52"], ["d", "r + 17", "r + 69"], ["r", "k + 10", "k + 79"], ["k", 14, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"k": 14}, "is_reverse": true}}
| 1,802
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = x + 17; n = k + 15; x = f + 15; f = t + 19; z = p + 16; d = r + 17; k = 14; t = e + 3; v = d + 19; a = v + 9; e = n + 17; r = k + 10; p = a + 8. If k = 14, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 8 to z, which gives z = a + 24.\n2. Substitute a = v + 9 to z, which gives z = v + 33.\n3. Substitute v = d + 19 to z, which gives z = d + 52.\n4. Substitute d = r + 17 to z, which gives z = r + 69.\n5. Substitute r = k + 10 to z, which gives z = k + 79.\n6. Substitute k = 14 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 1802,
"question": "Consider a system of variables where each variable is defined as follows: j = x + 17; n = k + 15; x = f + 15; f = t + 19; z = p + 16; d = r + 17; k = 14; t = e + 3; v = d + 19; a = v + 9; e = n + 17; r = k + 10; p = a + 8. If k = 14, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "q + 2", "h": "v + 9", "u": "h + 20", "z": "u + 1", "l": "z + 8", "w": "l + 19", "s": "q + 13", "x": "s + 1", "y": "x + 16", "k": "y + 13", "r": "k + 6", "p": "r + 6", "q": 7}, "premises": {"q": 7}, "target": "w"}, "answer": {"steps": [["l", "z + 8", "z + 27"], ["z", "u + 1", "u + 28"], ["u", "h + 20", "h + 48"], ["h", "v + 9", "v + 57"], ["v", "q + 2", "q + 59"], ["q", 7, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"q": 7}, "is_reverse": true}}
| 1,803
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = 7; u = h + 20; z = u + 1; v = q + 2; r = k + 6; w = l + 19; k = y + 13; y = x + 16; h = v + 9; l = z + 8; p = r + 6; x = s + 1; s = q + 13. If q = 7, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 8 to w, which gives w = z + 27.\n2. Substitute z = u + 1 to w, which gives w = u + 28.\n3. Substitute u = h + 20 to w, which gives w = h + 48.\n4. Substitute h = v + 9 to w, which gives w = v + 57.\n5. Substitute v = q + 2 to w, which gives w = q + 59.\n6. Substitute q = 7 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 1803,
"question": "Consider a system of variables where each variable is defined as follows: q = 7; u = h + 20; z = u + 1; v = q + 2; r = k + 6; w = l + 19; k = y + 13; y = x + 16; h = v + 9; l = z + 8; p = r + 6; x = s + 1; s = q + 13. If q = 7, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"e": "y + 12", "m": "e + 15", "i": "m + 6", "h": "i + 20", "p": "h + 9", "l": "p + 15", "j": "y + 6", "d": "j + 5", "f": "d + 2", "k": "f + 17", "g": "k + 9", "u": "g + 20", "y": 3}, "premises": {"y": 3}, "target": "l"}, "answer": {"steps": [["p", "h + 9", "h + 24"], ["h", "i + 20", "i + 44"], ["i", "m + 6", "m + 50"], ["m", "e + 15", "e + 65"], ["e", "y + 12", "y + 77"], ["y", 3, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"y": 3}, "is_reverse": true}}
| 1,804
| 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 + 9; m = e + 15; i = m + 6; f = d + 2; l = p + 15; u = g + 20; g = k + 9; h = i + 20; e = y + 12; j = y + 6; y = 3; d = j + 5; k = f + 17. If y = 3, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 9 to l, which gives l = h + 24.\n2. Substitute h = i + 20 to l, which gives l = i + 44.\n3. Substitute i = m + 6 to l, which gives l = m + 50.\n4. Substitute m = e + 15 to l, which gives l = e + 65.\n5. Substitute e = y + 12 to l, which gives l = y + 77.\n6. Substitute y = 3 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 1804,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = h + 9; m = e + 15; i = m + 6; f = d + 2; l = p + 15; u = g + 20; g = k + 9; h = i + 20; e = y + 12; j = y + 6; y = 3; d = j + 5; k = f + 17. If y = 3, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 5", "o": "h + 9", "e": "o + 7", "r": "e + 15", "c": "r + 10", "g": "c + 10", "z": "l + 8", "k": "z + 15", "s": "k + 11", "m": "s + 15", "u": "m + 4", "x": "u + 2", "l": 14}, "premises": {"l": 14}, "target": "g"}, "answer": {"steps": [["c", "r + 10", "r + 20"], ["r", "e + 15", "e + 35"], ["e", "o + 7", "o + 42"], ["o", "h + 9", "h + 51"], ["h", "l + 5", "l + 56"], ["l", 14, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"l": 14}, "is_reverse": true}}
| 1,805
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = h + 9; k = z + 15; e = o + 7; g = c + 10; m = s + 15; c = r + 10; u = m + 4; s = k + 11; z = l + 8; x = u + 2; r = e + 15; l = 14; h = l + 5. If l = 14, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 10 to g, which gives g = r + 20.\n2. Substitute r = e + 15 to g, which gives g = e + 35.\n3. Substitute e = o + 7 to g, which gives g = o + 42.\n4. Substitute o = h + 9 to g, which gives g = h + 51.\n5. Substitute h = l + 5 to g, which gives g = l + 56.\n6. Substitute l = 14 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 1805,
"question": "Consider a system of variables where each variable is defined as follows: o = h + 9; k = z + 15; e = o + 7; g = c + 10; m = s + 15; c = r + 10; u = m + 4; s = k + 11; z = l + 8; x = u + 2; r = e + 15; l = 14; h = l + 5. If l = 14, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 2", "a": "f + 3", "b": "a + 17", "h": "b + 20", "w": "h + 17", "x": "w + 15", "r": "j + 14", "z": "r + 5", "n": "z + 15", "c": "n + 10", "v": "c + 1", "q": "v + 8", "j": 18}, "premises": {"j": 18}, "target": "x"}, "answer": {"steps": [["w", "h + 17", "h + 32"], ["h", "b + 20", "b + 52"], ["b", "a + 17", "a + 69"], ["a", "f + 3", "f + 72"], ["f", "j + 2", "j + 74"], ["j", 18, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"j": 18}, "is_reverse": true}}
| 1,806
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 17; c = n + 10; z = r + 5; q = v + 8; f = j + 2; x = w + 15; j = 18; n = z + 15; r = j + 14; v = c + 1; w = h + 17; a = f + 3; h = b + 20. Given that j = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 17 to x, which gives x = h + 32.\n2. Substitute h = b + 20 to x, which gives x = b + 52.\n3. Substitute b = a + 17 to x, which gives x = a + 69.\n4. Substitute a = f + 3 to x, which gives x = f + 72.\n5. Substitute f = j + 2 to x, which gives x = j + 74.\n6. Substitute j = 18 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 1806,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 17; c = n + 10; z = r + 5; q = v + 8; f = j + 2; x = w + 15; j = 18; n = z + 15; r = j + 14; v = c + 1; w = h + 17; a = f + 3; h = b + 20. Given that j = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"i": "l + 13", "v": "i + 1", "w": "v + 19", "n": "w + 18", "f": "n + 5", "s": "f + 4", "u": "l + 16", "z": "u + 5", "x": "z + 13", "y": "x + 19", "c": "y + 8", "j": "c + 17", "l": 7}, "premises": {"l": 7}, "target": "s"}, "answer": {"steps": [["f", "n + 5", "n + 9"], ["n", "w + 18", "w + 27"], ["w", "v + 19", "v + 46"], ["v", "i + 1", "i + 47"], ["i", "l + 13", "l + 60"], ["l", 7, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"l": 7}, "is_reverse": true}}
| 1,807
| 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 = 7; z = u + 5; i = l + 13; x = z + 13; j = c + 17; c = y + 8; s = f + 4; n = w + 18; f = n + 5; w = v + 19; v = i + 1; y = x + 19; u = l + 16. If l = 7, what is the resulting 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 f = n + 5 to s, which gives s = n + 9.\n2. Substitute n = w + 18 to s, which gives s = w + 27.\n3. Substitute w = v + 19 to s, which gives s = v + 46.\n4. Substitute v = i + 1 to s, which gives s = i + 47.\n5. Substitute i = l + 13 to s, which gives s = l + 60.\n6. Substitute l = 7 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 1807,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = 7; z = u + 5; i = l + 13; x = z + 13; j = c + 17; c = y + 8; s = f + 4; n = w + 18; f = n + 5; w = v + 19; v = i + 1; y = x + 19; u = l + 16. If l = 7, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"h": "c + 19", "p": "h + 5", "s": "p + 13", "k": "s + 1", "j": "k + 2", "u": "j + 12", "n": "c + 13", "g": "n + 10", "y": "g + 3", "z": "y + 6", "a": "z + 19", "t": "a + 4", "c": 7}, "premises": {"c": 7}, "target": "u"}, "answer": {"steps": [["j", "k + 2", "k + 14"], ["k", "s + 1", "s + 15"], ["s", "p + 13", "p + 28"], ["p", "h + 5", "h + 33"], ["h", "c + 19", "c + 52"], ["c", 7, "59"]], "target_var_name": "u", "target_value": 59, "value_dict": {"c": 7}, "is_reverse": true}}
| 1,808
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = k + 2; s = p + 13; p = h + 5; z = y + 6; h = c + 19; g = n + 10; c = 7; k = s + 1; n = c + 13; y = g + 3; a = z + 19; t = a + 4; u = j + 12. If c = 7, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = k + 2 to u, which gives u = k + 14.\n2. Substitute k = s + 1 to u, which gives u = s + 15.\n3. Substitute s = p + 13 to u, which gives u = p + 28.\n4. Substitute p = h + 5 to u, which gives u = h + 33.\n5. Substitute h = c + 19 to u, which gives u = c + 52.\n6. Substitute c = 7 to u, which gives u = 59.\n\nThus, the final answer is u = \\boxed{59}.",
"index": 1808,
"question": "Consider a system of variables where each variable is defined as follows: j = k + 2; s = p + 13; p = h + 5; z = y + 6; h = c + 19; g = n + 10; c = 7; k = s + 1; n = c + 13; y = g + 3; a = z + 19; t = a + 4; u = j + 12. If c = 7, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"v": "y + 12", "g": "v + 18", "e": "g + 1", "k": "e + 17", "p": "k + 15", "r": "p + 10", "q": "y + 7", "d": "q + 19", "c": "d + 7", "i": "c + 3", "a": "i + 14", "n": "a + 15", "y": 20}, "premises": {"y": 20}, "target": "r"}, "answer": {"steps": [["p", "k + 15", "k + 25"], ["k", "e + 17", "e + 42"], ["e", "g + 1", "g + 43"], ["g", "v + 18", "v + 61"], ["v", "y + 12", "y + 73"], ["y", 20, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"y": 20}, "is_reverse": true}}
| 1,809
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = a + 15; i = c + 3; d = q + 19; v = y + 12; e = g + 1; a = i + 14; p = k + 15; q = y + 7; k = e + 17; r = p + 10; g = v + 18; y = 20; c = d + 7. Given that y = 20, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = k + 15 to r, which gives r = k + 25.\n2. Substitute k = e + 17 to r, which gives r = e + 42.\n3. Substitute e = g + 1 to r, which gives r = g + 43.\n4. Substitute g = v + 18 to r, which gives r = v + 61.\n5. Substitute v = y + 12 to r, which gives r = y + 73.\n6. Substitute y = 20 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 1809,
"question": "Suppose a collection of variables is related by the following definitions: n = a + 15; i = c + 3; d = q + 19; v = y + 12; e = g + 1; a = i + 14; p = k + 15; q = y + 7; k = e + 17; r = p + 10; g = v + 18; y = 20; c = d + 7. Given that y = 20, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"p": "s + 10", "z": "p + 2", "v": "z + 17", "b": "v + 11", "r": "b + 17", "t": "r + 5", "a": "s + 14", "l": "a + 17", "c": "l + 17", "d": "c + 8", "h": "d + 15", "g": "h + 18", "s": 13}, "premises": {"s": 13}, "target": "t"}, "answer": {"steps": [["r", "b + 17", "b + 22"], ["b", "v + 11", "v + 33"], ["v", "z + 17", "z + 50"], ["z", "p + 2", "p + 52"], ["p", "s + 10", "s + 62"], ["s", 13, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"s": 13}, "is_reverse": true}}
| 1,810
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: v = z + 17; z = p + 2; s = 13; t = r + 5; b = v + 11; h = d + 15; r = b + 17; l = a + 17; c = l + 17; p = s + 10; a = s + 14; d = c + 8; g = h + 18. If s = 13, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 17 to t, which gives t = b + 22.\n2. Substitute b = v + 11 to t, which gives t = v + 33.\n3. Substitute v = z + 17 to t, which gives t = z + 50.\n4. Substitute z = p + 2 to t, which gives t = p + 52.\n5. Substitute p = s + 10 to t, which gives t = s + 62.\n6. Substitute s = 13 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 1810,
"question": "Consider a system of variables where each variable is defined as follows: v = z + 17; z = p + 2; s = 13; t = r + 5; b = v + 11; h = d + 15; r = b + 17; l = a + 17; c = l + 17; p = s + 10; a = s + 14; d = c + 8; g = h + 18. If s = 13, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 13", "u": "o + 11", "k": "u + 4", "i": "k + 17", "g": "i + 12", "b": "g + 13", "h": "a + 17", "p": "h + 9", "d": "p + 18", "q": "d + 11", "z": "q + 16", "s": "z + 18", "a": 2}, "premises": {"a": 2}, "target": "b"}, "answer": {"steps": [["g", "i + 12", "i + 25"], ["i", "k + 17", "k + 42"], ["k", "u + 4", "u + 46"], ["u", "o + 11", "o + 57"], ["o", "a + 13", "a + 70"], ["a", 2, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"a": 2}, "is_reverse": true}}
| 1,811
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 11; d = p + 18; o = a + 13; k = u + 4; q = d + 11; g = i + 12; h = a + 17; p = h + 9; a = 2; s = z + 18; b = g + 13; z = q + 16; i = k + 17. If a = 2, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 12 to b, which gives b = i + 25.\n2. Substitute i = k + 17 to b, which gives b = k + 42.\n3. Substitute k = u + 4 to b, which gives b = u + 46.\n4. Substitute u = o + 11 to b, which gives b = o + 57.\n5. Substitute o = a + 13 to b, which gives b = a + 70.\n6. Substitute a = 2 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 1811,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 11; d = p + 18; o = a + 13; k = u + 4; q = d + 11; g = i + 12; h = a + 17; p = h + 9; a = 2; s = z + 18; b = g + 13; z = q + 16; i = k + 17. If a = 2, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 13", "h": "n + 2", "s": "h + 1", "e": "s + 7", "a": "e + 7", "w": "a + 15", "u": "t + 4", "z": "u + 13", "o": "z + 12", "y": "o + 19", "v": "y + 1", "d": "v + 6", "t": 9}, "premises": {"t": 9}, "target": "w"}, "answer": {"steps": [["a", "e + 7", "e + 22"], ["e", "s + 7", "s + 29"], ["s", "h + 1", "h + 30"], ["h", "n + 2", "n + 32"], ["n", "t + 13", "t + 45"], ["t", 9, "54"]], "target_var_name": "w", "target_value": 54, "value_dict": {"t": 9}, "is_reverse": true}}
| 1,812
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 13; e = s + 7; o = z + 12; n = t + 13; w = a + 15; a = e + 7; t = 9; s = h + 1; v = y + 1; y = o + 19; h = n + 2; u = t + 4; d = v + 6. If t = 9, what is the resulting value of w?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = e + 7 to w, which gives w = e + 22.\n2. Substitute e = s + 7 to w, which gives w = s + 29.\n3. Substitute s = h + 1 to w, which gives w = h + 30.\n4. Substitute h = n + 2 to w, which gives w = n + 32.\n5. Substitute n = t + 13 to w, which gives w = t + 45.\n6. Substitute t = 9 to w, which gives w = 54.\n\nThus, the final answer is w = \\boxed{54}.",
"index": 1812,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 13; e = s + 7; o = z + 12; n = t + 13; w = a + 15; a = e + 7; t = 9; s = h + 1; v = y + 1; y = o + 19; h = n + 2; u = t + 4; d = v + 6. If t = 9, what is the resulting value of w?",
"split": "train"
}
|
{"problem": {"rules": {"q": "v + 10", "s": "q + 17", "p": "s + 8", "z": "p + 13", "i": "z + 11", "m": "i + 3", "y": "v + 2", "r": "y + 4", "f": "r + 14", "k": "f + 20", "o": "k + 16", "c": "o + 5", "v": 4}, "premises": {"v": 4}, "target": "m"}, "answer": {"steps": [["i", "z + 11", "z + 14"], ["z", "p + 13", "p + 27"], ["p", "s + 8", "s + 35"], ["s", "q + 17", "q + 52"], ["q", "v + 10", "v + 62"], ["v", 4, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"v": 4}, "is_reverse": true}}
| 1,813
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 14; o = k + 16; p = s + 8; c = o + 5; y = v + 2; m = i + 3; i = z + 11; v = 4; q = v + 10; s = q + 17; k = f + 20; z = p + 13; r = y + 4. Given that v = 4, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 11 to m, which gives m = z + 14.\n2. Substitute z = p + 13 to m, which gives m = p + 27.\n3. Substitute p = s + 8 to m, which gives m = s + 35.\n4. Substitute s = q + 17 to m, which gives m = q + 52.\n5. Substitute q = v + 10 to m, which gives m = v + 62.\n6. Substitute v = 4 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 1813,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 14; o = k + 16; p = s + 8; c = o + 5; y = v + 2; m = i + 3; i = z + 11; v = 4; q = v + 10; s = q + 17; k = f + 20; z = p + 13; r = y + 4. Given that v = 4, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 20", "h": "o + 13", "z": "h + 14", "i": "z + 18", "k": "i + 9", "r": "k + 1", "j": "w + 16", "e": "j + 8", "u": "e + 2", "p": "u + 14", "t": "p + 5", "m": "t + 5", "w": 16}, "premises": {"w": 16}, "target": "r"}, "answer": {"steps": [["k", "i + 9", "i + 10"], ["i", "z + 18", "z + 28"], ["z", "h + 14", "h + 42"], ["h", "o + 13", "o + 55"], ["o", "w + 20", "w + 75"], ["w", 16, "91"]], "target_var_name": "r", "target_value": 91, "value_dict": {"w": 16}, "is_reverse": true}}
| 1,814
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 5; r = k + 1; h = o + 13; w = 16; z = h + 14; o = w + 20; e = j + 8; j = w + 16; p = u + 14; k = i + 9; t = p + 5; u = e + 2; i = z + 18. If w = 16, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 9 to r, which gives r = i + 10.\n2. Substitute i = z + 18 to r, which gives r = z + 28.\n3. Substitute z = h + 14 to r, which gives r = h + 42.\n4. Substitute h = o + 13 to r, which gives r = o + 55.\n5. Substitute o = w + 20 to r, which gives r = w + 75.\n6. Substitute w = 16 to r, which gives r = 91.\n\nThus, the final answer is r = \\boxed{91}.",
"index": 1814,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 5; r = k + 1; h = o + 13; w = 16; z = h + 14; o = w + 20; e = j + 8; j = w + 16; p = u + 14; k = i + 9; t = p + 5; u = e + 2; i = z + 18. If w = 16, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 8", "f": "n + 9", "b": "f + 14", "m": "b + 18", "c": "m + 13", "l": "c + 13", "r": "w + 16", "o": "r + 17", "u": "o + 8", "g": "u + 12", "j": "g + 16", "d": "j + 4", "w": 13}, "premises": {"w": 13}, "target": "l"}, "answer": {"steps": [["c", "m + 13", "m + 26"], ["m", "b + 18", "b + 44"], ["b", "f + 14", "f + 58"], ["f", "n + 9", "n + 67"], ["n", "w + 8", "w + 75"], ["w", 13, "88"]], "target_var_name": "l", "target_value": 88, "value_dict": {"w": 13}, "is_reverse": true}}
| 1,815
| 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 + 17; l = c + 13; j = g + 16; g = u + 12; u = o + 8; w = 13; f = n + 9; c = m + 13; m = b + 18; d = j + 4; b = f + 14; r = w + 16; n = w + 8. If w = 13, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 13 to l, which gives l = m + 26.\n2. Substitute m = b + 18 to l, which gives l = b + 44.\n3. Substitute b = f + 14 to l, which gives l = f + 58.\n4. Substitute f = n + 9 to l, which gives l = n + 67.\n5. Substitute n = w + 8 to l, which gives l = w + 75.\n6. Substitute w = 13 to l, which gives l = 88.\n\nThus, the final answer is l = \\boxed{88}.",
"index": 1815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = r + 17; l = c + 13; j = g + 16; g = u + 12; u = o + 8; w = 13; f = n + 9; c = m + 13; m = b + 18; d = j + 4; b = f + 14; r = w + 16; n = w + 8. If w = 13, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"k": "o + 14", "h": "k + 2", "l": "h + 14", "u": "l + 2", "d": "u + 19", "c": "d + 17", "y": "o + 4", "i": "y + 11", "v": "i + 15", "r": "v + 8", "x": "r + 10", "p": "x + 15", "o": 18}, "premises": {"o": 18}, "target": "c"}, "answer": {"steps": [["d", "u + 19", "u + 36"], ["u", "l + 2", "l + 38"], ["l", "h + 14", "h + 52"], ["h", "k + 2", "k + 54"], ["k", "o + 14", "o + 68"], ["o", 18, "86"]], "target_var_name": "c", "target_value": 86, "value_dict": {"o": 18}, "is_reverse": true}}
| 1,816
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = 18; p = x + 15; y = o + 4; i = y + 11; r = v + 8; x = r + 10; c = d + 17; h = k + 2; v = i + 15; d = u + 19; k = o + 14; l = h + 14; u = l + 2. Given that o = 18, find the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 19 to c, which gives c = u + 36.\n2. Substitute u = l + 2 to c, which gives c = l + 38.\n3. Substitute l = h + 14 to c, which gives c = h + 52.\n4. Substitute h = k + 2 to c, which gives c = k + 54.\n5. Substitute k = o + 14 to c, which gives c = o + 68.\n6. Substitute o = 18 to c, which gives c = 86.\n\nThus, the final answer is c = \\boxed{86}.",
"index": 1816,
"question": "Suppose a collection of variables is related by the following definitions: o = 18; p = x + 15; y = o + 4; i = y + 11; r = v + 8; x = r + 10; c = d + 17; h = k + 2; v = i + 15; d = u + 19; k = o + 14; l = h + 14; u = l + 2. Given that o = 18, find the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"d": "i + 8", "p": "d + 14", "h": "p + 2", "v": "h + 9", "r": "v + 19", "k": "r + 17", "m": "i + 2", "l": "m + 12", "w": "l + 6", "j": "w + 13", "n": "j + 7", "c": "n + 1", "i": 1}, "premises": {"i": 1}, "target": "k"}, "answer": {"steps": [["r", "v + 19", "v + 36"], ["v", "h + 9", "h + 45"], ["h", "p + 2", "p + 47"], ["p", "d + 14", "d + 61"], ["d", "i + 8", "i + 69"], ["i", 1, "70"]], "target_var_name": "k", "target_value": 70, "value_dict": {"i": 1}, "is_reverse": true}}
| 1,817
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = v + 19; j = w + 13; c = n + 1; w = l + 6; d = i + 8; k = r + 17; i = 1; n = j + 7; p = d + 14; m = i + 2; l = m + 12; v = h + 9; h = p + 2. If i = 1, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 19 to k, which gives k = v + 36.\n2. Substitute v = h + 9 to k, which gives k = h + 45.\n3. Substitute h = p + 2 to k, which gives k = p + 47.\n4. Substitute p = d + 14 to k, which gives k = d + 61.\n5. Substitute d = i + 8 to k, which gives k = i + 69.\n6. Substitute i = 1 to k, which gives k = 70.\n\nThus, the final answer is k = \\boxed{70}.",
"index": 1817,
"question": "Consider a system of variables where each variable is defined as follows: r = v + 19; j = w + 13; c = n + 1; w = l + 6; d = i + 8; k = r + 17; i = 1; n = j + 7; p = d + 14; m = i + 2; l = m + 12; v = h + 9; h = p + 2. If i = 1, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "b + 4", "x": "o + 18", "p": "x + 11", "q": "p + 13", "n": "q + 13", "k": "n + 1", "e": "b + 12", "f": "e + 10", "r": "f + 12", "s": "r + 4", "c": "s + 10", "y": "c + 7", "b": 5}, "premises": {"b": 5}, "target": "k"}, "answer": {"steps": [["n", "q + 13", "q + 14"], ["q", "p + 13", "p + 27"], ["p", "x + 11", "x + 38"], ["x", "o + 18", "o + 56"], ["o", "b + 4", "b + 60"], ["b", 5, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"b": 5}, "is_reverse": true}}
| 1,818
| 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 = n + 1; y = c + 7; b = 5; o = b + 4; x = o + 18; f = e + 10; e = b + 12; s = r + 4; r = f + 12; c = s + 10; q = p + 13; p = x + 11; n = q + 13. If b = 5, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 13 to k, which gives k = q + 14.\n2. Substitute q = p + 13 to k, which gives k = p + 27.\n3. Substitute p = x + 11 to k, which gives k = x + 38.\n4. Substitute x = o + 18 to k, which gives k = o + 56.\n5. Substitute o = b + 4 to k, which gives k = b + 60.\n6. Substitute b = 5 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 1818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 1; y = c + 7; b = 5; o = b + 4; x = o + 18; f = e + 10; e = b + 12; s = r + 4; r = f + 12; c = s + 10; q = p + 13; p = x + 11; n = q + 13. If b = 5, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"e": "b + 20", "d": "e + 16", "x": "d + 2", "y": "x + 12", "g": "y + 9", "v": "g + 20", "z": "b + 3", "h": "z + 7", "r": "h + 17", "k": "r + 15", "o": "k + 13", "i": "o + 10", "b": 5}, "premises": {"b": 5}, "target": "v"}, "answer": {"steps": [["g", "y + 9", "y + 29"], ["y", "x + 12", "x + 41"], ["x", "d + 2", "d + 43"], ["d", "e + 16", "e + 59"], ["e", "b + 20", "b + 79"], ["b", 5, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"b": 5}, "is_reverse": true}}
| 1,819
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = z + 7; x = d + 2; d = e + 16; i = o + 10; e = b + 20; y = x + 12; o = k + 13; k = r + 15; b = 5; r = h + 17; g = y + 9; z = b + 3; v = g + 20. If b = 5, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 9 to v, which gives v = y + 29.\n2. Substitute y = x + 12 to v, which gives v = x + 41.\n3. Substitute x = d + 2 to v, which gives v = d + 43.\n4. Substitute d = e + 16 to v, which gives v = e + 59.\n5. Substitute e = b + 20 to v, which gives v = b + 79.\n6. Substitute b = 5 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 1819,
"question": "Consider a system of variables where each variable is defined as follows: h = z + 7; x = d + 2; d = e + 16; i = o + 10; e = b + 20; y = x + 12; o = k + 13; k = r + 15; b = 5; r = h + 17; g = y + 9; z = b + 3; v = g + 20. If b = 5, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "d + 18", "h": "b + 13", "j": "h + 9", "n": "j + 7", "i": "n + 2", "m": "i + 13", "x": "d + 2", "e": "x + 11", "t": "e + 4", "z": "t + 16", "w": "z + 1", "a": "w + 7", "d": 16}, "premises": {"d": 16}, "target": "m"}, "answer": {"steps": [["i", "n + 2", "n + 15"], ["n", "j + 7", "j + 22"], ["j", "h + 9", "h + 31"], ["h", "b + 13", "b + 44"], ["b", "d + 18", "d + 62"], ["d", 16, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"d": 16}, "is_reverse": true}}
| 1,820
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = i + 13; j = h + 9; i = n + 2; e = x + 11; x = d + 2; a = w + 7; t = e + 4; d = 16; b = d + 18; z = t + 16; n = j + 7; h = b + 13; w = z + 1. If d = 16, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 2 to m, which gives m = n + 15.\n2. Substitute n = j + 7 to m, which gives m = j + 22.\n3. Substitute j = h + 9 to m, which gives m = h + 31.\n4. Substitute h = b + 13 to m, which gives m = b + 44.\n5. Substitute b = d + 18 to m, which gives m = d + 62.\n6. Substitute d = 16 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 1820,
"question": "Consider a system of variables where each variable is defined as follows: m = i + 13; j = h + 9; i = n + 2; e = x + 11; x = d + 2; a = w + 7; t = e + 4; d = 16; b = d + 18; z = t + 16; n = j + 7; h = b + 13; w = z + 1. If d = 16, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"h": "v + 3", "y": "h + 10", "t": "y + 20", "u": "t + 2", "k": "u + 3", "e": "k + 19", "s": "v + 3", "z": "s + 16", "p": "z + 1", "d": "p + 11", "g": "d + 15", "f": "g + 8", "v": 6}, "premises": {"v": 6}, "target": "e"}, "answer": {"steps": [["k", "u + 3", "u + 22"], ["u", "t + 2", "t + 24"], ["t", "y + 20", "y + 44"], ["y", "h + 10", "h + 54"], ["h", "v + 3", "v + 57"], ["v", 6, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"v": 6}, "is_reverse": true}}
| 1,821
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 16; h = v + 3; d = p + 11; u = t + 2; s = v + 3; f = g + 8; p = z + 1; v = 6; y = h + 10; t = y + 20; e = k + 19; g = d + 15; k = u + 3. Given that v = 6, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 3 to e, which gives e = u + 22.\n2. Substitute u = t + 2 to e, which gives e = t + 24.\n3. Substitute t = y + 20 to e, which gives e = y + 44.\n4. Substitute y = h + 10 to e, which gives e = h + 54.\n5. Substitute h = v + 3 to e, which gives e = v + 57.\n6. Substitute v = 6 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 1821,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 16; h = v + 3; d = p + 11; u = t + 2; s = v + 3; f = g + 8; p = z + 1; v = 6; y = h + 10; t = y + 20; e = k + 19; g = d + 15; k = u + 3. Given that v = 6, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"d": "w + 7", "b": "d + 7", "e": "b + 14", "a": "e + 8", "v": "a + 19", "i": "v + 16", "s": "w + 4", "t": "s + 3", "h": "t + 10", "c": "h + 11", "y": "c + 11", "r": "y + 4", "w": 2}, "premises": {"w": 2}, "target": "i"}, "answer": {"steps": [["v", "a + 19", "a + 35"], ["a", "e + 8", "e + 43"], ["e", "b + 14", "b + 57"], ["b", "d + 7", "d + 64"], ["d", "w + 7", "w + 71"], ["w", 2, "73"]], "target_var_name": "i", "target_value": 73, "value_dict": {"w": 2}, "is_reverse": true}}
| 1,822
| 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 = w + 7; h = t + 10; w = 2; i = v + 16; y = c + 11; b = d + 7; a = e + 8; c = h + 11; s = w + 4; t = s + 3; v = a + 19; r = y + 4; e = b + 14. If w = 2, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 19 to i, which gives i = a + 35.\n2. Substitute a = e + 8 to i, which gives i = e + 43.\n3. Substitute e = b + 14 to i, which gives i = b + 57.\n4. Substitute b = d + 7 to i, which gives i = d + 64.\n5. Substitute d = w + 7 to i, which gives i = w + 71.\n6. Substitute w = 2 to i, which gives i = 73.\n\nThus, the final answer is i = \\boxed{73}.",
"index": 1822,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = w + 7; h = t + 10; w = 2; i = v + 16; y = c + 11; b = d + 7; a = e + 8; c = h + 11; s = w + 4; t = s + 3; v = a + 19; r = y + 4; e = b + 14. If w = 2, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"l": "w + 11", "m": "l + 13", "s": "m + 2", "i": "s + 6", "e": "i + 17", "p": "e + 8", "n": "w + 19", "a": "n + 19", "x": "a + 11", "v": "x + 10", "r": "v + 11", "t": "r + 1", "w": 9}, "premises": {"w": 9}, "target": "p"}, "answer": {"steps": [["e", "i + 17", "i + 25"], ["i", "s + 6", "s + 31"], ["s", "m + 2", "m + 33"], ["m", "l + 13", "l + 46"], ["l", "w + 11", "w + 57"], ["w", 9, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"w": 9}, "is_reverse": true}}
| 1,823
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 17; r = v + 11; a = n + 19; p = e + 8; n = w + 19; s = m + 2; w = 9; m = l + 13; x = a + 11; v = x + 10; i = s + 6; t = r + 1; l = w + 11. If w = 9, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 17 to p, which gives p = i + 25.\n2. Substitute i = s + 6 to p, which gives p = s + 31.\n3. Substitute s = m + 2 to p, which gives p = m + 33.\n4. Substitute m = l + 13 to p, which gives p = l + 46.\n5. Substitute l = w + 11 to p, which gives p = w + 57.\n6. Substitute w = 9 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 1823,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 17; r = v + 11; a = n + 19; p = e + 8; n = w + 19; s = m + 2; w = 9; m = l + 13; x = a + 11; v = x + 10; i = s + 6; t = r + 1; l = w + 11. If w = 9, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"c": "l + 19", "h": "c + 5", "b": "h + 2", "o": "b + 13", "z": "o + 17", "m": "z + 11", "w": "l + 1", "p": "w + 7", "y": "p + 2", "t": "y + 14", "s": "t + 15", "r": "s + 8", "l": 5}, "premises": {"l": 5}, "target": "m"}, "answer": {"steps": [["z", "o + 17", "o + 28"], ["o", "b + 13", "b + 41"], ["b", "h + 2", "h + 43"], ["h", "c + 5", "c + 48"], ["c", "l + 19", "l + 67"], ["l", 5, "72"]], "target_var_name": "m", "target_value": 72, "value_dict": {"l": 5}, "is_reverse": true}}
| 1,824
| 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 = l + 19; m = z + 11; t = y + 14; h = c + 5; y = p + 2; p = w + 7; z = o + 17; s = t + 15; r = s + 8; o = b + 13; b = h + 2; w = l + 1; l = 5. If l = 5, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 17 to m, which gives m = o + 28.\n2. Substitute o = b + 13 to m, which gives m = b + 41.\n3. Substitute b = h + 2 to m, which gives m = h + 43.\n4. Substitute h = c + 5 to m, which gives m = c + 48.\n5. Substitute c = l + 19 to m, which gives m = l + 67.\n6. Substitute l = 5 to m, which gives m = 72.\n\nThus, the final answer is m = \\boxed{72}.",
"index": 1824,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = l + 19; m = z + 11; t = y + 14; h = c + 5; y = p + 2; p = w + 7; z = o + 17; s = t + 15; r = s + 8; o = b + 13; b = h + 2; w = l + 1; l = 5. If l = 5, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"k": "u + 19", "a": "k + 15", "z": "a + 8", "e": "z + 16", "d": "e + 20", "t": "d + 9", "q": "u + 9", "s": "q + 9", "v": "s + 1", "p": "v + 3", "w": "p + 17", "o": "w + 5", "u": 17}, "premises": {"u": 17}, "target": "t"}, "answer": {"steps": [["d", "e + 20", "e + 29"], ["e", "z + 16", "z + 45"], ["z", "a + 8", "a + 53"], ["a", "k + 15", "k + 68"], ["k", "u + 19", "u + 87"], ["u", 17, "104"]], "target_var_name": "t", "target_value": 104, "value_dict": {"u": 17}, "is_reverse": true}}
| 1,825
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 9; t = d + 9; w = p + 17; e = z + 16; a = k + 15; v = s + 1; q = u + 9; z = a + 8; k = u + 19; o = w + 5; u = 17; p = v + 3; d = e + 20. If u = 17, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 104,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 20 to t, which gives t = e + 29.\n2. Substitute e = z + 16 to t, which gives t = z + 45.\n3. Substitute z = a + 8 to t, which gives t = a + 53.\n4. Substitute a = k + 15 to t, which gives t = k + 68.\n5. Substitute k = u + 19 to t, which gives t = u + 87.\n6. Substitute u = 17 to t, which gives t = 104.\n\nThus, the final answer is t = \\boxed{104}.",
"index": 1825,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = q + 9; t = d + 9; w = p + 17; e = z + 16; a = k + 15; v = s + 1; q = u + 9; z = a + 8; k = u + 19; o = w + 5; u = 17; p = v + 3; d = e + 20. If u = 17, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 16", "l": "a + 3", "g": "l + 5", "o": "g + 13", "b": "o + 14", "c": "b + 7", "j": "p + 2", "w": "j + 19", "x": "w + 4", "t": "x + 4", "d": "t + 18", "e": "d + 6", "p": 2}, "premises": {"p": 2}, "target": "c"}, "answer": {"steps": [["b", "o + 14", "o + 21"], ["o", "g + 13", "g + 34"], ["g", "l + 5", "l + 39"], ["l", "a + 3", "a + 42"], ["a", "p + 16", "p + 58"], ["p", 2, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"p": 2}, "is_reverse": true}}
| 1,826
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 2; a = p + 16; g = l + 5; p = 2; w = j + 19; x = w + 4; l = a + 3; b = o + 14; o = g + 13; t = x + 4; c = b + 7; e = d + 6; d = t + 18. If p = 2, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 14 to c, which gives c = o + 21.\n2. Substitute o = g + 13 to c, which gives c = g + 34.\n3. Substitute g = l + 5 to c, which gives c = l + 39.\n4. Substitute l = a + 3 to c, which gives c = a + 42.\n5. Substitute a = p + 16 to c, which gives c = p + 58.\n6. Substitute p = 2 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 1826,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = p + 2; a = p + 16; g = l + 5; p = 2; w = j + 19; x = w + 4; l = a + 3; b = o + 14; o = g + 13; t = x + 4; c = b + 7; e = d + 6; d = t + 18. If p = 2, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"l": "n + 13", "o": "l + 18", "p": "o + 4", "x": "p + 4", "t": "x + 8", "k": "t + 7", "b": "n + 17", "a": "b + 15", "c": "a + 8", "g": "c + 16", "u": "g + 19", "j": "u + 16", "n": 7}, "premises": {"n": 7}, "target": "k"}, "answer": {"steps": [["t", "x + 8", "x + 15"], ["x", "p + 4", "p + 19"], ["p", "o + 4", "o + 23"], ["o", "l + 18", "l + 41"], ["l", "n + 13", "n + 54"], ["n", 7, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"n": 7}, "is_reverse": true}}
| 1,827
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 4; l = n + 13; b = n + 17; k = t + 7; c = a + 8; o = l + 18; t = x + 8; a = b + 15; u = g + 19; n = 7; x = p + 4; j = u + 16; g = c + 16. Given that n = 7, find the 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 t = x + 8 to k, which gives k = x + 15.\n2. Substitute x = p + 4 to k, which gives k = p + 19.\n3. Substitute p = o + 4 to k, which gives k = o + 23.\n4. Substitute o = l + 18 to k, which gives k = l + 41.\n5. Substitute l = n + 13 to k, which gives k = n + 54.\n6. Substitute n = 7 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 1827,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 4; l = n + 13; b = n + 17; k = t + 7; c = a + 8; o = l + 18; t = x + 8; a = b + 15; u = g + 19; n = 7; x = p + 4; j = u + 16; g = c + 16. Given that n = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"u": "s + 20", "d": "u + 11", "w": "d + 7", "i": "w + 5", "q": "i + 1", "j": "q + 16", "e": "s + 15", "b": "e + 15", "y": "b + 10", "x": "y + 4", "a": "x + 14", "p": "a + 12", "s": 5}, "premises": {"s": 5}, "target": "j"}, "answer": {"steps": [["q", "i + 1", "i + 17"], ["i", "w + 5", "w + 22"], ["w", "d + 7", "d + 29"], ["d", "u + 11", "u + 40"], ["u", "s + 20", "s + 60"], ["s", 5, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"s": 5}, "is_reverse": true}}
| 1,828
| 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 = x + 14; p = a + 12; u = s + 20; e = s + 15; w = d + 7; b = e + 15; d = u + 11; j = q + 16; s = 5; x = y + 4; i = w + 5; y = b + 10; q = i + 1. If s = 5, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 1 to j, which gives j = i + 17.\n2. Substitute i = w + 5 to j, which gives j = w + 22.\n3. Substitute w = d + 7 to j, which gives j = d + 29.\n4. Substitute d = u + 11 to j, which gives j = u + 40.\n5. Substitute u = s + 20 to j, which gives j = s + 60.\n6. Substitute s = 5 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 1828,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 14; p = a + 12; u = s + 20; e = s + 15; w = d + 7; b = e + 15; d = u + 11; j = q + 16; s = 5; x = y + 4; i = w + 5; y = b + 10; q = i + 1. If s = 5, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"s": "t + 9", "k": "s + 6", "l": "k + 9", "u": "l + 2", "a": "u + 20", "j": "a + 10", "g": "t + 14", "x": "g + 17", "h": "x + 5", "r": "h + 12", "d": "r + 1", "p": "d + 13", "t": 2}, "premises": {"t": 2}, "target": "j"}, "answer": {"steps": [["a", "u + 20", "u + 30"], ["u", "l + 2", "l + 32"], ["l", "k + 9", "k + 41"], ["k", "s + 6", "s + 47"], ["s", "t + 9", "t + 56"], ["t", 2, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"t": 2}, "is_reverse": true}}
| 1,829
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = t + 14; p = d + 13; r = h + 12; l = k + 9; j = a + 10; h = x + 5; s = t + 9; a = u + 20; u = l + 2; d = r + 1; k = s + 6; t = 2; x = g + 17. Given that t = 2, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 20 to j, which gives j = u + 30.\n2. Substitute u = l + 2 to j, which gives j = l + 32.\n3. Substitute l = k + 9 to j, which gives j = k + 41.\n4. Substitute k = s + 6 to j, which gives j = s + 47.\n5. Substitute s = t + 9 to j, which gives j = t + 56.\n6. Substitute t = 2 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 1829,
"question": "Suppose a collection of variables is related by the following definitions: g = t + 14; p = d + 13; r = h + 12; l = k + 9; j = a + 10; h = x + 5; s = t + 9; a = u + 20; u = l + 2; d = r + 1; k = s + 6; t = 2; x = g + 17. Given that t = 2, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"o": "t + 10", "v": "o + 12", "d": "v + 5", "k": "d + 16", "s": "k + 10", "c": "s + 12", "l": "t + 4", "f": "l + 13", "e": "f + 2", "i": "e + 3", "r": "i + 17", "p": "r + 11", "t": 15}, "premises": {"t": 15}, "target": "c"}, "answer": {"steps": [["s", "k + 10", "k + 22"], ["k", "d + 16", "d + 38"], ["d", "v + 5", "v + 43"], ["v", "o + 12", "o + 55"], ["o", "t + 10", "t + 65"], ["t", 15, "80"]], "target_var_name": "c", "target_value": 80, "value_dict": {"t": 15}, "is_reverse": true}}
| 1,830
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = i + 17; d = v + 5; f = l + 13; v = o + 12; c = s + 12; t = 15; o = t + 10; s = k + 10; p = r + 11; e = f + 2; l = t + 4; k = d + 16; i = e + 3. If t = 15, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 10 to c, which gives c = k + 22.\n2. Substitute k = d + 16 to c, which gives c = d + 38.\n3. Substitute d = v + 5 to c, which gives c = v + 43.\n4. Substitute v = o + 12 to c, which gives c = o + 55.\n5. Substitute o = t + 10 to c, which gives c = t + 65.\n6. Substitute t = 15 to c, which gives c = 80.\n\nThus, the final answer is c = \\boxed{80}.",
"index": 1830,
"question": "Consider a system of variables where each variable is defined as follows: r = i + 17; d = v + 5; f = l + 13; v = o + 12; c = s + 12; t = 15; o = t + 10; s = k + 10; p = r + 11; e = f + 2; l = t + 4; k = d + 16; i = e + 3. If t = 15, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"t": "q + 13", "l": "t + 18", "m": "l + 10", "x": "m + 16", "k": "x + 6", "i": "k + 16", "r": "q + 1", "a": "r + 6", "d": "a + 12", "j": "d + 2", "h": "j + 15", "b": "h + 1", "q": 9}, "premises": {"q": 9}, "target": "i"}, "answer": {"steps": [["k", "x + 6", "x + 22"], ["x", "m + 16", "m + 38"], ["m", "l + 10", "l + 48"], ["l", "t + 18", "t + 66"], ["t", "q + 13", "q + 79"], ["q", 9, "88"]], "target_var_name": "i", "target_value": 88, "value_dict": {"q": 9}, "is_reverse": true}}
| 1,831
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 1; q = 9; l = t + 18; m = l + 10; t = q + 13; i = k + 16; x = m + 16; d = a + 12; j = d + 2; k = x + 6; r = q + 1; h = j + 15; a = r + 6. Given that q = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 6 to i, which gives i = x + 22.\n2. Substitute x = m + 16 to i, which gives i = m + 38.\n3. Substitute m = l + 10 to i, which gives i = l + 48.\n4. Substitute l = t + 18 to i, which gives i = t + 66.\n5. Substitute t = q + 13 to i, which gives i = q + 79.\n6. Substitute q = 9 to i, which gives i = 88.\n\nThus, the final answer is i = \\boxed{88}.",
"index": 1831,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 1; q = 9; l = t + 18; m = l + 10; t = q + 13; i = k + 16; x = m + 16; d = a + 12; j = d + 2; k = x + 6; r = q + 1; h = j + 15; a = r + 6. Given that q = 9, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"x": "o + 15", "w": "x + 2", "e": "w + 17", "i": "e + 7", "h": "i + 16", "c": "h + 3", "g": "o + 11", "a": "g + 20", "n": "a + 7", "v": "n + 12", "d": "v + 12", "y": "d + 17", "o": 7}, "premises": {"o": 7}, "target": "c"}, "answer": {"steps": [["h", "i + 16", "i + 19"], ["i", "e + 7", "e + 26"], ["e", "w + 17", "w + 43"], ["w", "x + 2", "x + 45"], ["x", "o + 15", "o + 60"], ["o", 7, "67"]], "target_var_name": "c", "target_value": 67, "value_dict": {"o": 7}, "is_reverse": true}}
| 1,832
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 7; n = a + 7; c = h + 3; y = d + 17; g = o + 11; h = i + 16; e = w + 17; x = o + 15; d = v + 12; w = x + 2; o = 7; v = n + 12; a = g + 20. If o = 7, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 16 to c, which gives c = i + 19.\n2. Substitute i = e + 7 to c, which gives c = e + 26.\n3. Substitute e = w + 17 to c, which gives c = w + 43.\n4. Substitute w = x + 2 to c, which gives c = x + 45.\n5. Substitute x = o + 15 to c, which gives c = o + 60.\n6. Substitute o = 7 to c, which gives c = 67.\n\nThus, the final answer is c = \\boxed{67}.",
"index": 1832,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = e + 7; n = a + 7; c = h + 3; y = d + 17; g = o + 11; h = i + 16; e = w + 17; x = o + 15; d = v + 12; w = x + 2; o = 7; v = n + 12; a = g + 20. If o = 7, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"t": "v + 5", "a": "t + 2", "l": "a + 17", "n": "l + 2", "i": "n + 18", "q": "i + 3", "b": "v + 8", "e": "b + 2", "h": "e + 14", "m": "h + 2", "d": "m + 20", "w": "d + 5", "v": 16}, "premises": {"v": 16}, "target": "q"}, "answer": {"steps": [["i", "n + 18", "n + 21"], ["n", "l + 2", "l + 23"], ["l", "a + 17", "a + 40"], ["a", "t + 2", "t + 42"], ["t", "v + 5", "v + 47"], ["v", 16, "63"]], "target_var_name": "q", "target_value": 63, "value_dict": {"v": 16}, "is_reverse": true}}
| 1,833
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 17; h = e + 14; e = b + 2; i = n + 18; m = h + 2; b = v + 8; n = l + 2; q = i + 3; a = t + 2; t = v + 5; w = d + 5; v = 16; d = m + 20. Given that v = 16, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 18 to q, which gives q = n + 21.\n2. Substitute n = l + 2 to q, which gives q = l + 23.\n3. Substitute l = a + 17 to q, which gives q = a + 40.\n4. Substitute a = t + 2 to q, which gives q = t + 42.\n5. Substitute t = v + 5 to q, which gives q = v + 47.\n6. Substitute v = 16 to q, which gives q = 63.\n\nThus, the final answer is q = \\boxed{63}.",
"index": 1833,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 17; h = e + 14; e = b + 2; i = n + 18; m = h + 2; b = v + 8; n = l + 2; q = i + 3; a = t + 2; t = v + 5; w = d + 5; v = 16; d = m + 20. Given that v = 16, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"v": "t + 16", "a": "v + 9", "b": "a + 8", "u": "b + 12", "k": "u + 13", "h": "k + 17", "d": "t + 15", "l": "d + 18", "c": "l + 9", "n": "c + 11", "o": "n + 10", "f": "o + 13", "t": 5}, "premises": {"t": 5}, "target": "h"}, "answer": {"steps": [["k", "u + 13", "u + 30"], ["u", "b + 12", "b + 42"], ["b", "a + 8", "a + 50"], ["a", "v + 9", "v + 59"], ["v", "t + 16", "t + 75"], ["t", 5, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"t": 5}, "is_reverse": true}}
| 1,834
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 17; k = u + 13; f = o + 13; b = a + 8; d = t + 15; v = t + 16; l = d + 18; o = n + 10; t = 5; n = c + 11; a = v + 9; u = b + 12; c = l + 9. If t = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 13 to h, which gives h = u + 30.\n2. Substitute u = b + 12 to h, which gives h = b + 42.\n3. Substitute b = a + 8 to h, which gives h = a + 50.\n4. Substitute a = v + 9 to h, which gives h = v + 59.\n5. Substitute v = t + 16 to h, which gives h = t + 75.\n6. Substitute t = 5 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 1834,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = k + 17; k = u + 13; f = o + 13; b = a + 8; d = t + 15; v = t + 16; l = d + 18; o = n + 10; t = 5; n = c + 11; a = v + 9; u = b + 12; c = l + 9. If t = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"w": "t + 9", "c": "w + 5", "s": "c + 10", "a": "s + 8", "y": "a + 17", "k": "y + 2", "f": "t + 2", "h": "f + 4", "l": "h + 2", "n": "l + 11", "q": "n + 6", "o": "q + 9", "t": 7}, "premises": {"t": 7}, "target": "k"}, "answer": {"steps": [["y", "a + 17", "a + 19"], ["a", "s + 8", "s + 27"], ["s", "c + 10", "c + 37"], ["c", "w + 5", "w + 42"], ["w", "t + 9", "t + 51"], ["t", 7, "58"]], "target_var_name": "k", "target_value": 58, "value_dict": {"t": 7}, "is_reverse": true}}
| 1,835
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = q + 9; w = t + 9; s = c + 10; h = f + 4; l = h + 2; n = l + 11; c = w + 5; k = y + 2; q = n + 6; a = s + 8; t = 7; y = a + 17; f = t + 2. Given that t = 7, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 17 to k, which gives k = a + 19.\n2. Substitute a = s + 8 to k, which gives k = s + 27.\n3. Substitute s = c + 10 to k, which gives k = c + 37.\n4. Substitute c = w + 5 to k, which gives k = w + 42.\n5. Substitute w = t + 9 to k, which gives k = t + 51.\n6. Substitute t = 7 to k, which gives k = 58.\n\nThus, the final answer is k = \\boxed{58}.",
"index": 1835,
"question": "Suppose a collection of variables is related by the following definitions: o = q + 9; w = t + 9; s = c + 10; h = f + 4; l = h + 2; n = l + 11; c = w + 5; k = y + 2; q = n + 6; a = s + 8; t = 7; y = a + 17; f = t + 2. Given that t = 7, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 2", "i": "o + 1", "g": "i + 12", "q": "g + 8", "c": "q + 15", "p": "c + 4", "t": "w + 17", "l": "t + 1", "z": "l + 5", "y": "z + 1", "h": "y + 11", "m": "h + 17", "w": 15}, "premises": {"w": 15}, "target": "p"}, "answer": {"steps": [["c", "q + 15", "q + 19"], ["q", "g + 8", "g + 27"], ["g", "i + 12", "i + 39"], ["i", "o + 1", "o + 40"], ["o", "w + 2", "w + 42"], ["w", 15, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"w": 15}, "is_reverse": true}}
| 1,836
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 5; l = t + 1; q = g + 8; o = w + 2; t = w + 17; g = i + 12; c = q + 15; w = 15; i = o + 1; m = h + 17; h = y + 11; p = c + 4; y = z + 1. Given that w = 15, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 15 to p, which gives p = q + 19.\n2. Substitute q = g + 8 to p, which gives p = g + 27.\n3. Substitute g = i + 12 to p, which gives p = i + 39.\n4. Substitute i = o + 1 to p, which gives p = o + 40.\n5. Substitute o = w + 2 to p, which gives p = w + 42.\n6. Substitute w = 15 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 1836,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 5; l = t + 1; q = g + 8; o = w + 2; t = w + 17; g = i + 12; c = q + 15; w = 15; i = o + 1; m = h + 17; h = y + 11; p = c + 4; y = z + 1. Given that w = 15, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "l + 20", "o": "t + 7", "p": "o + 4", "f": "p + 16", "c": "f + 19", "u": "c + 16", "j": "l + 11", "h": "j + 14", "r": "h + 3", "z": "r + 14", "y": "z + 18", "w": "y + 13", "l": 1}, "premises": {"l": 1}, "target": "u"}, "answer": {"steps": [["c", "f + 19", "f + 35"], ["f", "p + 16", "p + 51"], ["p", "o + 4", "o + 55"], ["o", "t + 7", "t + 62"], ["t", "l + 20", "l + 82"], ["l", 1, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"l": 1}, "is_reverse": true}}
| 1,837
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 7; p = o + 4; u = c + 16; t = l + 20; z = r + 14; h = j + 14; l = 1; y = z + 18; w = y + 13; j = l + 11; r = h + 3; c = f + 19; f = p + 16. Given that l = 1, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 19 to u, which gives u = f + 35.\n2. Substitute f = p + 16 to u, which gives u = p + 51.\n3. Substitute p = o + 4 to u, which gives u = o + 55.\n4. Substitute o = t + 7 to u, which gives u = t + 62.\n5. Substitute t = l + 20 to u, which gives u = l + 82.\n6. Substitute l = 1 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 1837,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 7; p = o + 4; u = c + 16; t = l + 20; z = r + 14; h = j + 14; l = 1; y = z + 18; w = y + 13; j = l + 11; r = h + 3; c = f + 19; f = p + 16. Given that l = 1, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"u": "d + 4", "q": "u + 8", "o": "q + 1", "y": "o + 16", "v": "y + 20", "s": "v + 10", "w": "d + 4", "m": "w + 6", "f": "m + 20", "r": "f + 11", "k": "r + 10", "g": "k + 3", "d": 1}, "premises": {"d": 1}, "target": "s"}, "answer": {"steps": [["v", "y + 20", "y + 30"], ["y", "o + 16", "o + 46"], ["o", "q + 1", "q + 47"], ["q", "u + 8", "u + 55"], ["u", "d + 4", "d + 59"], ["d", 1, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"d": 1}, "is_reverse": true}}
| 1,838
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 10; y = o + 16; d = 1; s = v + 10; g = k + 3; w = d + 4; m = w + 6; q = u + 8; f = m + 20; v = y + 20; u = d + 4; o = q + 1; r = f + 11. If d = 1, determine 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 v = y + 20 to s, which gives s = y + 30.\n2. Substitute y = o + 16 to s, which gives s = o + 46.\n3. Substitute o = q + 1 to s, which gives s = q + 47.\n4. Substitute q = u + 8 to s, which gives s = u + 55.\n5. Substitute u = d + 4 to s, which gives s = d + 59.\n6. Substitute d = 1 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 1838,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 10; y = o + 16; d = 1; s = v + 10; g = k + 3; w = d + 4; m = w + 6; q = u + 8; f = m + 20; v = y + 20; u = d + 4; o = q + 1; r = f + 11. If d = 1, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "n + 10", "o": "e + 18", "u": "o + 13", "h": "u + 1", "x": "h + 11", "p": "x + 11", "v": "n + 17", "b": "v + 3", "c": "b + 14", "g": "c + 10", "k": "g + 20", "z": "k + 3", "n": 17}, "premises": {"n": 17}, "target": "p"}, "answer": {"steps": [["x", "h + 11", "h + 22"], ["h", "u + 1", "u + 23"], ["u", "o + 13", "o + 36"], ["o", "e + 18", "e + 54"], ["e", "n + 10", "n + 64"], ["n", 17, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"n": 17}, "is_reverse": true}}
| 1,839
| 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 + 1; z = k + 3; b = v + 3; p = x + 11; n = 17; g = c + 10; e = n + 10; x = h + 11; c = b + 14; o = e + 18; u = o + 13; v = n + 17; k = g + 20. If n = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = h + 11 to p, which gives p = h + 22.\n2. Substitute h = u + 1 to p, which gives p = u + 23.\n3. Substitute u = o + 13 to p, which gives p = o + 36.\n4. Substitute o = e + 18 to p, which gives p = e + 54.\n5. Substitute e = n + 10 to p, which gives p = n + 64.\n6. Substitute n = 17 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 1839,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 1; z = k + 3; b = v + 3; p = x + 11; n = 17; g = c + 10; e = n + 10; x = h + 11; c = b + 14; o = e + 18; u = o + 13; v = n + 17; k = g + 20. If n = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"o": "m + 1", "w": "o + 6", "y": "w + 12", "v": "y + 15", "g": "v + 7", "n": "g + 4", "e": "m + 10", "h": "e + 2", "t": "h + 12", "s": "t + 5", "q": "s + 19", "c": "q + 12", "m": 14}, "premises": {"m": 14}, "target": "n"}, "answer": {"steps": [["g", "v + 7", "v + 11"], ["v", "y + 15", "y + 26"], ["y", "w + 12", "w + 38"], ["w", "o + 6", "o + 44"], ["o", "m + 1", "m + 45"], ["m", 14, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"m": 14}, "is_reverse": true}}
| 1,840
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 14; g = v + 7; t = h + 12; y = w + 12; c = q + 12; q = s + 19; s = t + 5; h = e + 2; n = g + 4; e = m + 10; w = o + 6; v = y + 15; o = m + 1. If m = 14, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 7 to n, which gives n = v + 11.\n2. Substitute v = y + 15 to n, which gives n = y + 26.\n3. Substitute y = w + 12 to n, which gives n = w + 38.\n4. Substitute w = o + 6 to n, which gives n = o + 44.\n5. Substitute o = m + 1 to n, which gives n = m + 45.\n6. Substitute m = 14 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 1840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 14; g = v + 7; t = h + 12; y = w + 12; c = q + 12; q = s + 19; s = t + 5; h = e + 2; n = g + 4; e = m + 10; w = o + 6; v = y + 15; o = m + 1. If m = 14, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"e": "c + 1", "d": "e + 1", "o": "d + 19", "n": "o + 12", "a": "n + 19", "i": "a + 20", "k": "c + 13", "b": "k + 13", "z": "b + 16", "w": "z + 8", "p": "w + 3", "l": "p + 18", "c": 14}, "premises": {"c": 14}, "target": "i"}, "answer": {"steps": [["a", "n + 19", "n + 39"], ["n", "o + 12", "o + 51"], ["o", "d + 19", "d + 70"], ["d", "e + 1", "e + 71"], ["e", "c + 1", "c + 72"], ["c", 14, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"c": 14}, "is_reverse": true}}
| 1,841
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 13; p = w + 3; k = c + 13; z = b + 16; i = a + 20; d = e + 1; e = c + 1; n = o + 12; w = z + 8; c = 14; o = d + 19; a = n + 19; l = p + 18. If c = 14, determine the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 19 to i, which gives i = n + 39.\n2. Substitute n = o + 12 to i, which gives i = o + 51.\n3. Substitute o = d + 19 to i, which gives i = d + 70.\n4. Substitute d = e + 1 to i, which gives i = e + 71.\n5. Substitute e = c + 1 to i, which gives i = c + 72.\n6. Substitute c = 14 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 1841,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 13; p = w + 3; k = c + 13; z = b + 16; i = a + 20; d = e + 1; e = c + 1; n = o + 12; w = z + 8; c = 14; o = d + 19; a = n + 19; l = p + 18. If c = 14, determine the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"v": "c + 10", "a": "v + 8", "s": "a + 10", "p": "s + 12", "z": "p + 15", "u": "z + 19", "k": "c + 16", "b": "k + 2", "r": "b + 16", "m": "r + 17", "n": "m + 2", "q": "n + 20", "c": 15}, "premises": {"c": 15}, "target": "u"}, "answer": {"steps": [["z", "p + 15", "p + 34"], ["p", "s + 12", "s + 46"], ["s", "a + 10", "a + 56"], ["a", "v + 8", "v + 64"], ["v", "c + 10", "c + 74"], ["c", 15, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"c": 15}, "is_reverse": true}}
| 1,842
| 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 = n + 20; s = a + 10; k = c + 16; c = 15; b = k + 2; u = z + 19; p = s + 12; n = m + 2; r = b + 16; z = p + 15; m = r + 17; a = v + 8; v = c + 10. If c = 15, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 15 to u, which gives u = p + 34.\n2. Substitute p = s + 12 to u, which gives u = s + 46.\n3. Substitute s = a + 10 to u, which gives u = a + 56.\n4. Substitute a = v + 8 to u, which gives u = v + 64.\n5. Substitute v = c + 10 to u, which gives u = c + 74.\n6. Substitute c = 15 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 1842,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = n + 20; s = a + 10; k = c + 16; c = 15; b = k + 2; u = z + 19; p = s + 12; n = m + 2; r = b + 16; z = p + 15; m = r + 17; a = v + 8; v = c + 10. If c = 15, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"r": "h + 11", "a": "r + 8", "o": "a + 16", "q": "o + 9", "s": "q + 11", "g": "s + 9", "t": "h + 16", "x": "t + 4", "n": "x + 15", "f": "n + 4", "v": "f + 14", "d": "v + 12", "h": 9}, "premises": {"h": 9}, "target": "g"}, "answer": {"steps": [["s", "q + 11", "q + 20"], ["q", "o + 9", "o + 29"], ["o", "a + 16", "a + 45"], ["a", "r + 8", "r + 53"], ["r", "h + 11", "h + 64"], ["h", 9, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"h": 9}, "is_reverse": true}}
| 1,843
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 12; v = f + 14; g = s + 9; q = o + 9; o = a + 16; r = h + 11; f = n + 4; h = 9; n = x + 15; x = t + 4; s = q + 11; a = r + 8; t = h + 16. If h = 9, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 11 to g, which gives g = q + 20.\n2. Substitute q = o + 9 to g, which gives g = o + 29.\n3. Substitute o = a + 16 to g, which gives g = a + 45.\n4. Substitute a = r + 8 to g, which gives g = r + 53.\n5. Substitute r = h + 11 to g, which gives g = h + 64.\n6. Substitute h = 9 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 1843,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 12; v = f + 14; g = s + 9; q = o + 9; o = a + 16; r = h + 11; f = n + 4; h = 9; n = x + 15; x = t + 4; s = q + 11; a = r + 8; t = h + 16. If h = 9, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"l": "k + 10", "x": "l + 15", "e": "x + 17", "i": "e + 2", "z": "i + 3", "n": "z + 7", "p": "k + 5", "v": "p + 8", "h": "v + 18", "d": "h + 6", "q": "d + 16", "b": "q + 13", "k": 5}, "premises": {"k": 5}, "target": "n"}, "answer": {"steps": [["z", "i + 3", "i + 10"], ["i", "e + 2", "e + 12"], ["e", "x + 17", "x + 29"], ["x", "l + 15", "l + 44"], ["l", "k + 10", "k + 54"], ["k", 5, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"k": 5}, "is_reverse": true}}
| 1,844
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = p + 8; z = i + 3; n = z + 7; k = 5; d = h + 6; x = l + 15; e = x + 17; l = k + 10; p = k + 5; i = e + 2; q = d + 16; h = v + 18; b = q + 13. Given that k = 5, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 3 to n, which gives n = i + 10.\n2. Substitute i = e + 2 to n, which gives n = e + 12.\n3. Substitute e = x + 17 to n, which gives n = x + 29.\n4. Substitute x = l + 15 to n, which gives n = l + 44.\n5. Substitute l = k + 10 to n, which gives n = k + 54.\n6. Substitute k = 5 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 1844,
"question": "Suppose a collection of variables is related by the following definitions: v = p + 8; z = i + 3; n = z + 7; k = 5; d = h + 6; x = l + 15; e = x + 17; l = k + 10; p = k + 5; i = e + 2; q = d + 16; h = v + 18; b = q + 13. Given that k = 5, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"u": "c + 5", "b": "u + 19", "d": "b + 17", "a": "d + 15", "n": "a + 4", "t": "n + 20", "y": "c + 18", "m": "y + 17", "l": "m + 5", "v": "l + 14", "o": "v + 1", "j": "o + 2", "c": 6}, "premises": {"c": 6}, "target": "t"}, "answer": {"steps": [["n", "a + 4", "a + 24"], ["a", "d + 15", "d + 39"], ["d", "b + 17", "b + 56"], ["b", "u + 19", "u + 75"], ["u", "c + 5", "c + 80"], ["c", 6, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"c": 6}, "is_reverse": true}}
| 1,845
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 19; c = 6; t = n + 20; o = v + 1; y = c + 18; v = l + 14; u = c + 5; l = m + 5; a = d + 15; d = b + 17; n = a + 4; m = y + 17; j = o + 2. If c = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 4 to t, which gives t = a + 24.\n2. Substitute a = d + 15 to t, which gives t = d + 39.\n3. Substitute d = b + 17 to t, which gives t = b + 56.\n4. Substitute b = u + 19 to t, which gives t = u + 75.\n5. Substitute u = c + 5 to t, which gives t = c + 80.\n6. Substitute c = 6 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 1845,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 19; c = 6; t = n + 20; o = v + 1; y = c + 18; v = l + 14; u = c + 5; l = m + 5; a = d + 15; d = b + 17; n = a + 4; m = y + 17; j = o + 2. If c = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"u": "n + 8", "t": "u + 3", "b": "t + 6", "w": "b + 13", "k": "w + 5", "o": "k + 16", "f": "n + 13", "s": "f + 10", "m": "s + 9", "y": "m + 1", "h": "y + 7", "v": "h + 16", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["k", "w + 5", "w + 21"], ["w", "b + 13", "b + 34"], ["b", "t + 6", "t + 40"], ["t", "u + 3", "u + 43"], ["u", "n + 8", "n + 51"], ["n", 7, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"n": 7}, "is_reverse": true}}
| 1,846
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 13; s = f + 10; n = 7; m = s + 9; h = y + 7; v = h + 16; t = u + 3; y = m + 1; b = t + 6; f = n + 13; k = w + 5; u = n + 8; o = k + 16. If n = 7, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 5 to o, which gives o = w + 21.\n2. Substitute w = b + 13 to o, which gives o = b + 34.\n3. Substitute b = t + 6 to o, which gives o = t + 40.\n4. Substitute t = u + 3 to o, which gives o = u + 43.\n5. Substitute u = n + 8 to o, which gives o = n + 51.\n6. Substitute n = 7 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 1846,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 13; s = f + 10; n = 7; m = s + 9; h = y + 7; v = h + 16; t = u + 3; y = m + 1; b = t + 6; f = n + 13; k = w + 5; u = n + 8; o = k + 16. If n = 7, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "n + 11", "w": "x + 8", "i": "w + 2", "p": "i + 11", "g": "p + 8", "f": "g + 20", "m": "n + 10", "t": "m + 3", "z": "t + 5", "b": "z + 7", "d": "b + 19", "r": "d + 1", "n": 9}, "premises": {"n": 9}, "target": "f"}, "answer": {"steps": [["g", "p + 8", "p + 28"], ["p", "i + 11", "i + 39"], ["i", "w + 2", "w + 41"], ["w", "x + 8", "x + 49"], ["x", "n + 11", "n + 60"], ["n", 9, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"n": 9}, "is_reverse": true}}
| 1,847
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = w + 2; t = m + 3; f = g + 20; x = n + 11; m = n + 10; d = b + 19; w = x + 8; g = p + 8; p = i + 11; z = t + 5; r = d + 1; b = z + 7; n = 9. Given that n = 9, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 8 to f, which gives f = p + 28.\n2. Substitute p = i + 11 to f, which gives f = i + 39.\n3. Substitute i = w + 2 to f, which gives f = w + 41.\n4. Substitute w = x + 8 to f, which gives f = x + 49.\n5. Substitute x = n + 11 to f, which gives f = n + 60.\n6. Substitute n = 9 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 1847,
"question": "Suppose a collection of variables is related by the following definitions: i = w + 2; t = m + 3; f = g + 20; x = n + 11; m = n + 10; d = b + 19; w = x + 8; g = p + 8; p = i + 11; z = t + 5; r = d + 1; b = z + 7; n = 9. Given that n = 9, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"i": "e + 17", "p": "i + 16", "j": "p + 6", "v": "j + 6", "n": "v + 2", "d": "n + 16", "h": "e + 16", "k": "h + 4", "w": "k + 13", "q": "w + 7", "f": "q + 20", "l": "f + 1", "e": 14}, "premises": {"e": 14}, "target": "d"}, "answer": {"steps": [["n", "v + 2", "v + 18"], ["v", "j + 6", "j + 24"], ["j", "p + 6", "p + 30"], ["p", "i + 16", "i + 46"], ["i", "e + 17", "e + 63"], ["e", 14, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"e": 14}, "is_reverse": true}}
| 1,848
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 4; j = p + 6; l = f + 1; v = j + 6; f = q + 20; e = 14; h = e + 16; p = i + 16; n = v + 2; w = k + 13; d = n + 16; i = e + 17; q = w + 7. Given that e = 14, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 2 to d, which gives d = v + 18.\n2. Substitute v = j + 6 to d, which gives d = j + 24.\n3. Substitute j = p + 6 to d, which gives d = p + 30.\n4. Substitute p = i + 16 to d, which gives d = i + 46.\n5. Substitute i = e + 17 to d, which gives d = e + 63.\n6. Substitute e = 14 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 1848,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 4; j = p + 6; l = f + 1; v = j + 6; f = q + 20; e = 14; h = e + 16; p = i + 16; n = v + 2; w = k + 13; d = n + 16; i = e + 17; q = w + 7. Given that e = 14, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"o": "d + 5", "a": "o + 3", "t": "a + 19", "z": "t + 5", "f": "z + 17", "e": "f + 10", "n": "d + 7", "b": "n + 19", "h": "b + 1", "c": "h + 3", "u": "c + 13", "p": "u + 10", "d": 2}, "premises": {"d": 2}, "target": "e"}, "answer": {"steps": [["f", "z + 17", "z + 27"], ["z", "t + 5", "t + 32"], ["t", "a + 19", "a + 51"], ["a", "o + 3", "o + 54"], ["o", "d + 5", "d + 59"], ["d", 2, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"d": 2}, "is_reverse": true}}
| 1,849
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = u + 10; t = a + 19; d = 2; e = f + 10; o = d + 5; f = z + 17; b = n + 19; z = t + 5; a = o + 3; c = h + 3; n = d + 7; u = c + 13; h = b + 1. If d = 2, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 17 to e, which gives e = z + 27.\n2. Substitute z = t + 5 to e, which gives e = t + 32.\n3. Substitute t = a + 19 to e, which gives e = a + 51.\n4. Substitute a = o + 3 to e, which gives e = o + 54.\n5. Substitute o = d + 5 to e, which gives e = d + 59.\n6. Substitute d = 2 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 1849,
"question": "Consider a system of variables where each variable is defined as follows: p = u + 10; t = a + 19; d = 2; e = f + 10; o = d + 5; f = z + 17; b = n + 19; z = t + 5; a = o + 3; c = h + 3; n = d + 7; u = c + 13; h = b + 1. If d = 2, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"k": "d + 7", "e": "k + 2", "o": "e + 1", "y": "o + 11", "c": "y + 11", "f": "c + 12", "m": "d + 7", "v": "m + 14", "u": "v + 15", "h": "u + 13", "i": "h + 16", "b": "i + 9", "d": 6}, "premises": {"d": 6}, "target": "f"}, "answer": {"steps": [["c", "y + 11", "y + 23"], ["y", "o + 11", "o + 34"], ["o", "e + 1", "e + 35"], ["e", "k + 2", "k + 37"], ["k", "d + 7", "d + 44"], ["d", 6, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"d": 6}, "is_reverse": true}}
| 1,850
| 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 = i + 9; k = d + 7; d = 6; o = e + 1; y = o + 11; m = d + 7; e = k + 2; c = y + 11; v = m + 14; f = c + 12; u = v + 15; h = u + 13; i = h + 16. If d = 6, 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 c = y + 11 to f, which gives f = y + 23.\n2. Substitute y = o + 11 to f, which gives f = o + 34.\n3. Substitute o = e + 1 to f, which gives f = e + 35.\n4. Substitute e = k + 2 to f, which gives f = k + 37.\n5. Substitute k = d + 7 to f, which gives f = d + 44.\n6. Substitute d = 6 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 1850,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 9; k = d + 7; d = 6; o = e + 1; y = o + 11; m = d + 7; e = k + 2; c = y + 11; v = m + 14; f = c + 12; u = v + 15; h = u + 13; i = h + 16. If d = 6, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 10", "g": "u + 1", "q": "g + 19", "m": "q + 6", "e": "m + 14", "l": "e + 1", "a": "y + 16", "d": "a + 16", "o": "d + 14", "t": "o + 16", "h": "t + 15", "w": "h + 10", "y": 4}, "premises": {"y": 4}, "target": "l"}, "answer": {"steps": [["e", "m + 14", "m + 15"], ["m", "q + 6", "q + 21"], ["q", "g + 19", "g + 40"], ["g", "u + 1", "u + 41"], ["u", "y + 10", "y + 51"], ["y", 4, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"y": 4}, "is_reverse": true}}
| 1,851
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = u + 1; y = 4; o = d + 14; d = a + 16; w = h + 10; l = e + 1; t = o + 16; m = q + 6; h = t + 15; q = g + 19; e = m + 14; a = y + 16; u = y + 10. Given that y = 4, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 14 to l, which gives l = m + 15.\n2. Substitute m = q + 6 to l, which gives l = q + 21.\n3. Substitute q = g + 19 to l, which gives l = g + 40.\n4. Substitute g = u + 1 to l, which gives l = u + 41.\n5. Substitute u = y + 10 to l, which gives l = y + 51.\n6. Substitute y = 4 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 1851,
"question": "Suppose a collection of variables is related by the following definitions: g = u + 1; y = 4; o = d + 14; d = a + 16; w = h + 10; l = e + 1; t = o + 16; m = q + 6; h = t + 15; q = g + 19; e = m + 14; a = y + 16; u = y + 10. Given that y = 4, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 20", "n": "x + 19", "h": "n + 7", "z": "h + 7", "c": "z + 2", "f": "c + 16", "k": "r + 14", "u": "k + 6", "l": "u + 13", "w": "l + 3", "v": "w + 10", "i": "v + 13", "r": 11}, "premises": {"r": 11}, "target": "f"}, "answer": {"steps": [["c", "z + 2", "z + 18"], ["z", "h + 7", "h + 25"], ["h", "n + 7", "n + 32"], ["n", "x + 19", "x + 51"], ["x", "r + 20", "r + 71"], ["r", 11, "82"]], "target_var_name": "f", "target_value": 82, "value_dict": {"r": 11}, "is_reverse": true}}
| 1,852
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = c + 16; k = r + 14; x = r + 20; v = w + 10; i = v + 13; r = 11; c = z + 2; u = k + 6; h = n + 7; l = u + 13; z = h + 7; w = l + 3; n = x + 19. If r = 11, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 2 to f, which gives f = z + 18.\n2. Substitute z = h + 7 to f, which gives f = h + 25.\n3. Substitute h = n + 7 to f, which gives f = n + 32.\n4. Substitute n = x + 19 to f, which gives f = x + 51.\n5. Substitute x = r + 20 to f, which gives f = r + 71.\n6. Substitute r = 11 to f, which gives f = 82.\n\nThus, the final answer is f = \\boxed{82}.",
"index": 1852,
"question": "Consider a system of variables where each variable is defined as follows: f = c + 16; k = r + 14; x = r + 20; v = w + 10; i = v + 13; r = 11; c = z + 2; u = k + 6; h = n + 7; l = u + 13; z = h + 7; w = l + 3; n = x + 19. If r = 11, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"m": "p + 14", "f": "m + 8", "e": "f + 5", "k": "e + 2", "t": "k + 4", "s": "t + 12", "o": "p + 3", "i": "o + 2", "x": "i + 17", "h": "x + 15", "b": "h + 20", "j": "b + 18", "p": 17}, "premises": {"p": 17}, "target": "s"}, "answer": {"steps": [["t", "k + 4", "k + 16"], ["k", "e + 2", "e + 18"], ["e", "f + 5", "f + 23"], ["f", "m + 8", "m + 31"], ["m", "p + 14", "p + 45"], ["p", 17, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"p": 17}, "is_reverse": true}}
| 1,853
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = f + 5; t = k + 4; f = m + 8; i = o + 2; s = t + 12; m = p + 14; x = i + 17; k = e + 2; p = 17; o = p + 3; h = x + 15; j = b + 18; b = h + 20. Given that p = 17, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 4 to s, which gives s = k + 16.\n2. Substitute k = e + 2 to s, which gives s = e + 18.\n3. Substitute e = f + 5 to s, which gives s = f + 23.\n4. Substitute f = m + 8 to s, which gives s = m + 31.\n5. Substitute m = p + 14 to s, which gives s = p + 45.\n6. Substitute p = 17 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 1853,
"question": "Suppose a collection of variables is related by the following definitions: e = f + 5; t = k + 4; f = m + 8; i = o + 2; s = t + 12; m = p + 14; x = i + 17; k = e + 2; p = 17; o = p + 3; h = x + 15; j = b + 18; b = h + 20. Given that p = 17, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"a": "q + 1", "k": "a + 5", "z": "k + 11", "o": "z + 15", "v": "o + 7", "c": "v + 14", "b": "q + 17", "p": "b + 2", "s": "p + 14", "d": "s + 15", "f": "d + 10", "y": "f + 4", "q": 16}, "premises": {"q": 16}, "target": "c"}, "answer": {"steps": [["v", "o + 7", "o + 21"], ["o", "z + 15", "z + 36"], ["z", "k + 11", "k + 47"], ["k", "a + 5", "a + 52"], ["a", "q + 1", "q + 53"], ["q", 16, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"q": 16}, "is_reverse": true}}
| 1,854
| 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 = a + 5; d = s + 15; z = k + 11; y = f + 4; q = 16; a = q + 1; p = b + 2; f = d + 10; c = v + 14; o = z + 15; b = q + 17; s = p + 14; v = o + 7. If q = 16, what is the resulting value of c?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 7 to c, which gives c = o + 21.\n2. Substitute o = z + 15 to c, which gives c = z + 36.\n3. Substitute z = k + 11 to c, which gives c = k + 47.\n4. Substitute k = a + 5 to c, which gives c = a + 52.\n5. Substitute a = q + 1 to c, which gives c = q + 53.\n6. Substitute q = 16 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 1854,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 5; d = s + 15; z = k + 11; y = f + 4; q = 16; a = q + 1; p = b + 2; f = d + 10; c = v + 14; o = z + 15; b = q + 17; s = p + 14; v = o + 7. If q = 16, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 2", "j": "p + 10", "q": "j + 19", "e": "q + 2", "t": "e + 17", "m": "t + 20", "s": "g + 7", "w": "s + 11", "v": "w + 7", "k": "v + 18", "f": "k + 12", "a": "f + 12", "g": 3}, "premises": {"g": 3}, "target": "m"}, "answer": {"steps": [["t", "e + 17", "e + 37"], ["e", "q + 2", "q + 39"], ["q", "j + 19", "j + 58"], ["j", "p + 10", "p + 68"], ["p", "g + 2", "g + 70"], ["g", 3, "73"]], "target_var_name": "m", "target_value": 73, "value_dict": {"g": 3}, "is_reverse": true}}
| 1,855
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 3; t = e + 17; v = w + 7; k = v + 18; f = k + 12; e = q + 2; s = g + 7; w = s + 11; p = g + 2; q = j + 19; m = t + 20; a = f + 12; j = p + 10. Given that g = 3, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 17 to m, which gives m = e + 37.\n2. Substitute e = q + 2 to m, which gives m = q + 39.\n3. Substitute q = j + 19 to m, which gives m = j + 58.\n4. Substitute j = p + 10 to m, which gives m = p + 68.\n5. Substitute p = g + 2 to m, which gives m = g + 70.\n6. Substitute g = 3 to m, which gives m = 73.\n\nThus, the final answer is m = \\boxed{73}.",
"index": 1855,
"question": "Suppose a collection of variables is related by the following definitions: g = 3; t = e + 17; v = w + 7; k = v + 18; f = k + 12; e = q + 2; s = g + 7; w = s + 11; p = g + 2; q = j + 19; m = t + 20; a = f + 12; j = p + 10. Given that g = 3, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 16", "i": "u + 6", "r": "i + 9", "l": "r + 18", "s": "l + 20", "t": "s + 12", "d": "v + 15", "c": "d + 10", "j": "c + 5", "x": "j + 2", "o": "x + 9", "h": "o + 6", "v": 18}, "premises": {"v": 18}, "target": "t"}, "answer": {"steps": [["s", "l + 20", "l + 32"], ["l", "r + 18", "r + 50"], ["r", "i + 9", "i + 59"], ["i", "u + 6", "u + 65"], ["u", "v + 16", "v + 81"], ["v", 18, "99"]], "target_var_name": "t", "target_value": 99, "value_dict": {"v": 18}, "is_reverse": true}}
| 1,856
| 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 = o + 6; u = v + 16; r = i + 9; o = x + 9; d = v + 15; v = 18; j = c + 5; t = s + 12; l = r + 18; s = l + 20; x = j + 2; i = u + 6; c = d + 10. If v = 18, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 20 to t, which gives t = l + 32.\n2. Substitute l = r + 18 to t, which gives t = r + 50.\n3. Substitute r = i + 9 to t, which gives t = i + 59.\n4. Substitute i = u + 6 to t, which gives t = u + 65.\n5. Substitute u = v + 16 to t, which gives t = v + 81.\n6. Substitute v = 18 to t, which gives t = 99.\n\nThus, the final answer is t = \\boxed{99}.",
"index": 1856,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 6; u = v + 16; r = i + 9; o = x + 9; d = v + 15; v = 18; j = c + 5; t = s + 12; l = r + 18; s = l + 20; x = j + 2; i = u + 6; c = d + 10. If v = 18, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"s": "c + 12", "v": "s + 19", "p": "v + 17", "i": "p + 9", "h": "i + 4", "f": "h + 17", "t": "c + 11", "x": "t + 11", "n": "x + 9", "l": "n + 13", "a": "l + 5", "r": "a + 19", "c": 1}, "premises": {"c": 1}, "target": "f"}, "answer": {"steps": [["h", "i + 4", "i + 21"], ["i", "p + 9", "p + 30"], ["p", "v + 17", "v + 47"], ["v", "s + 19", "s + 66"], ["s", "c + 12", "c + 78"], ["c", 1, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"c": 1}, "is_reverse": true}}
| 1,857
| 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 + 17; s = c + 12; l = n + 13; c = 1; p = v + 17; v = s + 19; t = c + 11; r = a + 19; a = l + 5; h = i + 4; n = x + 9; i = p + 9; x = t + 11. If c = 1, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 4 to f, which gives f = i + 21.\n2. Substitute i = p + 9 to f, which gives f = p + 30.\n3. Substitute p = v + 17 to f, which gives f = v + 47.\n4. Substitute v = s + 19 to f, which gives f = s + 66.\n5. Substitute s = c + 12 to f, which gives f = c + 78.\n6. Substitute c = 1 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 1857,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 17; s = c + 12; l = n + 13; c = 1; p = v + 17; v = s + 19; t = c + 11; r = a + 19; a = l + 5; h = i + 4; n = x + 9; i = p + 9; x = t + 11. If c = 1, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"u": "x + 17", "v": "u + 2", "e": "v + 11", "f": "e + 7", "d": "f + 6", "o": "d + 17", "g": "x + 14", "l": "g + 20", "w": "l + 11", "q": "w + 4", "z": "q + 1", "n": "z + 4", "x": 6}, "premises": {"x": 6}, "target": "o"}, "answer": {"steps": [["d", "f + 6", "f + 23"], ["f", "e + 7", "e + 30"], ["e", "v + 11", "v + 41"], ["v", "u + 2", "u + 43"], ["u", "x + 17", "x + 60"], ["x", 6, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"x": 6}, "is_reverse": true}}
| 1,858
| 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 = w + 4; e = v + 11; f = e + 7; l = g + 20; d = f + 6; v = u + 2; w = l + 11; z = q + 1; g = x + 14; x = 6; n = z + 4; u = x + 17; o = d + 17. If x = 6, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 6 to o, which gives o = f + 23.\n2. Substitute f = e + 7 to o, which gives o = e + 30.\n3. Substitute e = v + 11 to o, which gives o = v + 41.\n4. Substitute v = u + 2 to o, which gives o = u + 43.\n5. Substitute u = x + 17 to o, which gives o = x + 60.\n6. Substitute x = 6 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 1858,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 4; e = v + 11; f = e + 7; l = g + 20; d = f + 6; v = u + 2; w = l + 11; z = q + 1; g = x + 14; x = 6; n = z + 4; u = x + 17; o = d + 17. If x = 6, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"g": "y + 10", "n": "g + 16", "u": "n + 2", "t": "u + 19", "b": "t + 8", "s": "b + 13", "w": "y + 15", "d": "w + 7", "h": "d + 15", "o": "h + 9", "f": "o + 11", "z": "f + 2", "y": 13}, "premises": {"y": 13}, "target": "s"}, "answer": {"steps": [["b", "t + 8", "t + 21"], ["t", "u + 19", "u + 40"], ["u", "n + 2", "n + 42"], ["n", "g + 16", "g + 58"], ["g", "y + 10", "y + 68"], ["y", 13, "81"]], "target_var_name": "s", "target_value": 81, "value_dict": {"y": 13}, "is_reverse": true}}
| 1,859
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 2; n = g + 16; o = h + 9; w = y + 15; h = d + 15; u = n + 2; b = t + 8; s = b + 13; d = w + 7; f = o + 11; g = y + 10; y = 13; t = u + 19. If y = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 8 to s, which gives s = t + 21.\n2. Substitute t = u + 19 to s, which gives s = u + 40.\n3. Substitute u = n + 2 to s, which gives s = n + 42.\n4. Substitute n = g + 16 to s, which gives s = g + 58.\n5. Substitute g = y + 10 to s, which gives s = y + 68.\n6. Substitute y = 13 to s, which gives s = 81.\n\nThus, the final answer is s = \\boxed{81}.",
"index": 1859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = f + 2; n = g + 16; o = h + 9; w = y + 15; h = d + 15; u = n + 2; b = t + 8; s = b + 13; d = w + 7; f = o + 11; g = y + 10; y = 13; t = u + 19. If y = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"y": "h + 17", "a": "y + 17", "o": "a + 12", "d": "o + 13", "x": "d + 10", "v": "x + 14", "j": "h + 10", "c": "j + 8", "f": "c + 20", "n": "f + 3", "t": "n + 1", "e": "t + 2", "h": 19}, "premises": {"h": 19}, "target": "v"}, "answer": {"steps": [["x", "d + 10", "d + 24"], ["d", "o + 13", "o + 37"], ["o", "a + 12", "a + 49"], ["a", "y + 17", "y + 66"], ["y", "h + 17", "h + 83"], ["h", 19, "102"]], "target_var_name": "v", "target_value": 102, "value_dict": {"h": 19}, "is_reverse": true}}
| 1,860
| 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 = f + 3; t = n + 1; e = t + 2; h = 19; x = d + 10; c = j + 8; j = h + 10; o = a + 12; d = o + 13; f = c + 20; y = h + 17; a = y + 17; v = x + 14. If h = 19, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = d + 10 to v, which gives v = d + 24.\n2. Substitute d = o + 13 to v, which gives v = o + 37.\n3. Substitute o = a + 12 to v, which gives v = a + 49.\n4. Substitute a = y + 17 to v, which gives v = y + 66.\n5. Substitute y = h + 17 to v, which gives v = h + 83.\n6. Substitute h = 19 to v, which gives v = 102.\n\nThus, the final answer is v = \\boxed{102}.",
"index": 1860,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = f + 3; t = n + 1; e = t + 2; h = 19; x = d + 10; c = j + 8; j = h + 10; o = a + 12; d = o + 13; f = c + 20; y = h + 17; a = y + 17; v = x + 14. If h = 19, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"z": "n + 9", "a": "z + 6", "q": "a + 7", "p": "q + 20", "o": "p + 13", "r": "o + 6", "s": "n + 10", "v": "s + 8", "b": "v + 3", "u": "b + 9", "j": "u + 3", "i": "j + 8", "n": 6}, "premises": {"n": 6}, "target": "r"}, "answer": {"steps": [["o", "p + 13", "p + 19"], ["p", "q + 20", "q + 39"], ["q", "a + 7", "a + 46"], ["a", "z + 6", "z + 52"], ["z", "n + 9", "n + 61"], ["n", 6, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"n": 6}, "is_reverse": true}}
| 1,861
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 20; a = z + 6; i = j + 8; s = n + 10; n = 6; v = s + 8; r = o + 6; u = b + 9; o = p + 13; z = n + 9; j = u + 3; q = a + 7; b = v + 3. Given that n = 6, find 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 o = p + 13 to r, which gives r = p + 19.\n2. Substitute p = q + 20 to r, which gives r = q + 39.\n3. Substitute q = a + 7 to r, which gives r = a + 46.\n4. Substitute a = z + 6 to r, which gives r = z + 52.\n5. Substitute z = n + 9 to r, which gives r = n + 61.\n6. Substitute n = 6 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 1861,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 20; a = z + 6; i = j + 8; s = n + 10; n = 6; v = s + 8; r = o + 6; u = b + 9; o = p + 13; z = n + 9; j = u + 3; q = a + 7; b = v + 3. Given that n = 6, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"a": "v + 7", "k": "a + 13", "c": "k + 2", "n": "c + 4", "z": "n + 17", "j": "z + 20", "f": "v + 1", "l": "f + 9", "o": "l + 20", "p": "o + 4", "m": "p + 13", "i": "m + 5", "v": 7}, "premises": {"v": 7}, "target": "j"}, "answer": {"steps": [["z", "n + 17", "n + 37"], ["n", "c + 4", "c + 41"], ["c", "k + 2", "k + 43"], ["k", "a + 13", "a + 56"], ["a", "v + 7", "v + 63"], ["v", 7, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"v": 7}, "is_reverse": true}}
| 1,862
| 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 = v + 1; o = l + 20; p = o + 4; n = c + 4; z = n + 17; c = k + 2; m = p + 13; a = v + 7; v = 7; l = f + 9; k = a + 13; i = m + 5; j = z + 20. If v = 7, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = n + 17 to j, which gives j = n + 37.\n2. Substitute n = c + 4 to j, which gives j = c + 41.\n3. Substitute c = k + 2 to j, which gives j = k + 43.\n4. Substitute k = a + 13 to j, which gives j = a + 56.\n5. Substitute a = v + 7 to j, which gives j = v + 63.\n6. Substitute v = 7 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 1862,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 1; o = l + 20; p = o + 4; n = c + 4; z = n + 17; c = k + 2; m = p + 13; a = v + 7; v = 7; l = f + 9; k = a + 13; i = m + 5; j = z + 20. If v = 7, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"z": "l + 4", "j": "z + 8", "n": "j + 11", "w": "n + 11", "t": "w + 2", "q": "t + 7", "u": "l + 7", "s": "u + 7", "a": "s + 8", "x": "a + 1", "c": "x + 17", "k": "c + 7", "l": 13}, "premises": {"l": 13}, "target": "q"}, "answer": {"steps": [["t", "w + 2", "w + 9"], ["w", "n + 11", "n + 20"], ["n", "j + 11", "j + 31"], ["j", "z + 8", "z + 39"], ["z", "l + 4", "l + 43"], ["l", 13, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"l": 13}, "is_reverse": true}}
| 1,863
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = u + 7; a = s + 8; t = w + 2; k = c + 7; x = a + 1; u = l + 7; l = 13; c = x + 17; j = z + 8; w = n + 11; q = t + 7; n = j + 11; z = l + 4. Given that l = 13, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 2 to q, which gives q = w + 9.\n2. Substitute w = n + 11 to q, which gives q = n + 20.\n3. Substitute n = j + 11 to q, which gives q = j + 31.\n4. Substitute j = z + 8 to q, which gives q = z + 39.\n5. Substitute z = l + 4 to q, which gives q = l + 43.\n6. Substitute l = 13 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 1863,
"question": "Suppose a collection of variables is related by the following definitions: s = u + 7; a = s + 8; t = w + 2; k = c + 7; x = a + 1; u = l + 7; l = 13; c = x + 17; j = z + 8; w = n + 11; q = t + 7; n = j + 11; z = l + 4. Given that l = 13, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 8", "o": "k + 17", "s": "o + 9", "f": "s + 7", "r": "f + 7", "h": "r + 20", "t": "c + 18", "a": "t + 13", "q": "a + 12", "x": "q + 2", "v": "x + 18", "p": "v + 10", "c": 11}, "premises": {"c": 11}, "target": "h"}, "answer": {"steps": [["r", "f + 7", "f + 27"], ["f", "s + 7", "s + 34"], ["s", "o + 9", "o + 43"], ["o", "k + 17", "k + 60"], ["k", "c + 8", "c + 68"], ["c", 11, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"c": 11}, "is_reverse": true}}
| 1,864
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 8; f = s + 7; q = a + 12; v = x + 18; r = f + 7; x = q + 2; o = k + 17; a = t + 13; t = c + 18; h = r + 20; c = 11; s = o + 9; p = v + 10. Given that c = 11, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = f + 7 to h, which gives h = f + 27.\n2. Substitute f = s + 7 to h, which gives h = s + 34.\n3. Substitute s = o + 9 to h, which gives h = o + 43.\n4. Substitute o = k + 17 to h, which gives h = k + 60.\n5. Substitute k = c + 8 to h, which gives h = c + 68.\n6. Substitute c = 11 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 1864,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 8; f = s + 7; q = a + 12; v = x + 18; r = f + 7; x = q + 2; o = k + 17; a = t + 13; t = c + 18; h = r + 20; c = 11; s = o + 9; p = v + 10. Given that c = 11, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 12", "g": "q + 12", "t": "g + 18", "x": "t + 20", "e": "x + 16", "d": "e + 8", "y": "b + 3", "k": "y + 8", "l": "k + 1", "v": "l + 1", "n": "v + 16", "c": "n + 1", "b": 20}, "premises": {"b": 20}, "target": "d"}, "answer": {"steps": [["e", "x + 16", "x + 24"], ["x", "t + 20", "t + 44"], ["t", "g + 18", "g + 62"], ["g", "q + 12", "q + 74"], ["q", "b + 12", "b + 86"], ["b", 20, "106"]], "target_var_name": "d", "target_value": 106, "value_dict": {"b": 20}, "is_reverse": true}}
| 1,865
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 12; l = k + 1; t = g + 18; g = q + 12; e = x + 16; n = v + 16; v = l + 1; d = e + 8; c = n + 1; y = b + 3; b = 20; x = t + 20; k = y + 8. Given that b = 20, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 106,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 16 to d, which gives d = x + 24.\n2. Substitute x = t + 20 to d, which gives d = t + 44.\n3. Substitute t = g + 18 to d, which gives d = g + 62.\n4. Substitute g = q + 12 to d, which gives d = q + 74.\n5. Substitute q = b + 12 to d, which gives d = b + 86.\n6. Substitute b = 20 to d, which gives d = 106.\n\nThus, the final answer is d = \\boxed{106}.",
"index": 1865,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 12; l = k + 1; t = g + 18; g = q + 12; e = x + 16; n = v + 16; v = l + 1; d = e + 8; c = n + 1; y = b + 3; b = 20; x = t + 20; k = y + 8. Given that b = 20, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 1", "r": "c + 14", "u": "r + 18", "v": "u + 8", "h": "v + 13", "b": "h + 20", "y": "d + 14", "l": "y + 3", "x": "l + 1", "w": "x + 18", "q": "w + 14", "j": "q + 12", "d": 1}, "premises": {"d": 1}, "target": "b"}, "answer": {"steps": [["h", "v + 13", "v + 33"], ["v", "u + 8", "u + 41"], ["u", "r + 18", "r + 59"], ["r", "c + 14", "c + 73"], ["c", "d + 1", "d + 74"], ["d", 1, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"d": 1}, "is_reverse": true}}
| 1,866
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 14; r = c + 14; b = h + 20; u = r + 18; v = u + 8; h = v + 13; d = 1; w = x + 18; q = w + 14; c = d + 1; l = y + 3; j = q + 12; x = l + 1. If d = 1, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 13 to b, which gives b = v + 33.\n2. Substitute v = u + 8 to b, which gives b = u + 41.\n3. Substitute u = r + 18 to b, which gives b = r + 59.\n4. Substitute r = c + 14 to b, which gives b = c + 73.\n5. Substitute c = d + 1 to b, which gives b = d + 74.\n6. Substitute d = 1 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 1866,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 14; r = c + 14; b = h + 20; u = r + 18; v = u + 8; h = v + 13; d = 1; w = x + 18; q = w + 14; c = d + 1; l = y + 3; j = q + 12; x = l + 1. If d = 1, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"z": "u + 19", "m": "z + 16", "b": "m + 5", "e": "b + 13", "v": "e + 15", "x": "v + 7", "s": "u + 17", "i": "s + 6", "h": "i + 6", "l": "h + 4", "c": "l + 1", "k": "c + 20", "u": 9}, "premises": {"u": 9}, "target": "x"}, "answer": {"steps": [["v", "e + 15", "e + 22"], ["e", "b + 13", "b + 35"], ["b", "m + 5", "m + 40"], ["m", "z + 16", "z + 56"], ["z", "u + 19", "u + 75"], ["u", 9, "84"]], "target_var_name": "x", "target_value": 84, "value_dict": {"u": 9}, "is_reverse": true}}
| 1,867
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = l + 1; u = 9; v = e + 15; e = b + 13; z = u + 19; h = i + 6; b = m + 5; x = v + 7; i = s + 6; m = z + 16; l = h + 4; k = c + 20; s = u + 17. If u = 9, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 15 to x, which gives x = e + 22.\n2. Substitute e = b + 13 to x, which gives x = b + 35.\n3. Substitute b = m + 5 to x, which gives x = m + 40.\n4. Substitute m = z + 16 to x, which gives x = z + 56.\n5. Substitute z = u + 19 to x, which gives x = u + 75.\n6. Substitute u = 9 to x, which gives x = 84.\n\nThus, the final answer is x = \\boxed{84}.",
"index": 1867,
"question": "Consider a system of variables where each variable is defined as follows: c = l + 1; u = 9; v = e + 15; e = b + 13; z = u + 19; h = i + 6; b = m + 5; x = v + 7; i = s + 6; m = z + 16; l = h + 4; k = c + 20; s = u + 17. If u = 9, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 19", "l": "c + 20", "w": "l + 12", "z": "w + 14", "t": "z + 4", "o": "t + 7", "g": "q + 16", "v": "g + 2", "d": "v + 5", "a": "d + 14", "m": "a + 16", "p": "m + 18", "q": 15}, "premises": {"q": 15}, "target": "o"}, "answer": {"steps": [["t", "z + 4", "z + 11"], ["z", "w + 14", "w + 25"], ["w", "l + 12", "l + 37"], ["l", "c + 20", "c + 57"], ["c", "q + 19", "q + 76"], ["q", 15, "91"]], "target_var_name": "o", "target_value": 91, "value_dict": {"q": 15}, "is_reverse": true}}
| 1,868
| 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 + 18; v = g + 2; l = c + 20; d = v + 5; g = q + 16; c = q + 19; q = 15; a = d + 14; t = z + 4; w = l + 12; o = t + 7; m = a + 16; z = w + 14. If q = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 4 to o, which gives o = z + 11.\n2. Substitute z = w + 14 to o, which gives o = w + 25.\n3. Substitute w = l + 12 to o, which gives o = l + 37.\n4. Substitute l = c + 20 to o, which gives o = c + 57.\n5. Substitute c = q + 19 to o, which gives o = q + 76.\n6. Substitute q = 15 to o, which gives o = 91.\n\nThus, the final answer is o = \\boxed{91}.",
"index": 1868,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = m + 18; v = g + 2; l = c + 20; d = v + 5; g = q + 16; c = q + 19; q = 15; a = d + 14; t = z + 4; w = l + 12; o = t + 7; m = a + 16; z = w + 14. If q = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"b": "x + 12", "a": "b + 19", "c": "a + 16", "z": "c + 13", "g": "z + 8", "j": "g + 7", "k": "x + 14", "r": "k + 12", "y": "r + 9", "t": "y + 19", "q": "t + 7", "u": "q + 13", "x": 16}, "premises": {"x": 16}, "target": "j"}, "answer": {"steps": [["g", "z + 8", "z + 15"], ["z", "c + 13", "c + 28"], ["c", "a + 16", "a + 44"], ["a", "b + 19", "b + 63"], ["b", "x + 12", "x + 75"], ["x", 16, "91"]], "target_var_name": "j", "target_value": 91, "value_dict": {"x": 16}, "is_reverse": true}}
| 1,869
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = 16; r = k + 12; q = t + 7; g = z + 8; a = b + 19; u = q + 13; c = a + 16; k = x + 14; t = y + 19; y = r + 9; b = x + 12; j = g + 7; z = c + 13. If x = 16, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 91,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 8 to j, which gives j = z + 15.\n2. Substitute z = c + 13 to j, which gives j = c + 28.\n3. Substitute c = a + 16 to j, which gives j = a + 44.\n4. Substitute a = b + 19 to j, which gives j = b + 63.\n5. Substitute b = x + 12 to j, which gives j = x + 75.\n6. Substitute x = 16 to j, which gives j = 91.\n\nThus, the final answer is j = \\boxed{91}.",
"index": 1869,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = 16; r = k + 12; q = t + 7; g = z + 8; a = b + 19; u = q + 13; c = a + 16; k = x + 14; t = y + 19; y = r + 9; b = x + 12; j = g + 7; z = c + 13. If x = 16, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"h": "z + 15", "j": "h + 1", "b": "j + 10", "e": "b + 12", "v": "e + 4", "i": "v + 1", "f": "z + 5", "r": "f + 5", "w": "r + 11", "y": "w + 20", "x": "y + 4", "g": "x + 12", "z": 20}, "premises": {"z": 20}, "target": "i"}, "answer": {"steps": [["v", "e + 4", "e + 5"], ["e", "b + 12", "b + 17"], ["b", "j + 10", "j + 27"], ["j", "h + 1", "h + 28"], ["h", "z + 15", "z + 43"], ["z", 20, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"z": 20}, "is_reverse": true}}
| 1,870
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 1; g = x + 12; j = h + 1; z = 20; y = w + 20; w = r + 11; b = j + 10; e = b + 12; v = e + 4; x = y + 4; h = z + 15; f = z + 5; r = f + 5. If z = 20, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 4 to i, which gives i = e + 5.\n2. Substitute e = b + 12 to i, which gives i = b + 17.\n3. Substitute b = j + 10 to i, which gives i = j + 27.\n4. Substitute j = h + 1 to i, which gives i = h + 28.\n5. Substitute h = z + 15 to i, which gives i = z + 43.\n6. Substitute z = 20 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 1870,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = v + 1; g = x + 12; j = h + 1; z = 20; y = w + 20; w = r + 11; b = j + 10; e = b + 12; v = e + 4; x = y + 4; h = z + 15; f = z + 5; r = f + 5. If z = 20, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"t": "k + 9", "z": "t + 16", "g": "z + 1", "l": "g + 15", "y": "l + 6", "f": "y + 17", "e": "k + 6", "j": "e + 1", "d": "j + 4", "x": "d + 19", "q": "x + 17", "n": "q + 17", "k": 15}, "premises": {"k": 15}, "target": "f"}, "answer": {"steps": [["y", "l + 6", "l + 23"], ["l", "g + 15", "g + 38"], ["g", "z + 1", "z + 39"], ["z", "t + 16", "t + 55"], ["t", "k + 9", "k + 64"], ["k", 15, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"k": 15}, "is_reverse": true}}
| 1,871
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 6; e = k + 6; l = g + 15; g = z + 1; t = k + 9; f = y + 17; x = d + 19; k = 15; j = e + 1; d = j + 4; q = x + 17; n = q + 17; z = t + 16. If k = 15, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 6 to f, which gives f = l + 23.\n2. Substitute l = g + 15 to f, which gives f = g + 38.\n3. Substitute g = z + 1 to f, which gives f = z + 39.\n4. Substitute z = t + 16 to f, which gives f = t + 55.\n5. Substitute t = k + 9 to f, which gives f = k + 64.\n6. Substitute k = 15 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 1871,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 6; e = k + 6; l = g + 15; g = z + 1; t = k + 9; f = y + 17; x = d + 19; k = 15; j = e + 1; d = j + 4; q = x + 17; n = q + 17; z = t + 16. If k = 15, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 1", "v": "d + 14", "y": "v + 20", "k": "y + 14", "j": "k + 9", "a": "j + 1", "u": "p + 13", "x": "u + 19", "h": "x + 13", "n": "h + 4", "c": "n + 6", "i": "c + 19", "p": 8}, "premises": {"p": 8}, "target": "a"}, "answer": {"steps": [["j", "k + 9", "k + 10"], ["k", "y + 14", "y + 24"], ["y", "v + 20", "v + 44"], ["v", "d + 14", "d + 58"], ["d", "p + 1", "p + 59"], ["p", 8, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"p": 8}, "is_reverse": true}}
| 1,872
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = u + 19; j = k + 9; v = d + 14; k = y + 14; h = x + 13; d = p + 1; i = c + 19; y = v + 20; p = 8; a = j + 1; n = h + 4; u = p + 13; c = n + 6. If p = 8, 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 j = k + 9 to a, which gives a = k + 10.\n2. Substitute k = y + 14 to a, which gives a = y + 24.\n3. Substitute y = v + 20 to a, which gives a = v + 44.\n4. Substitute v = d + 14 to a, which gives a = d + 58.\n5. Substitute d = p + 1 to a, which gives a = p + 59.\n6. Substitute p = 8 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 1872,
"question": "Consider a system of variables where each variable is defined as follows: x = u + 19; j = k + 9; v = d + 14; k = y + 14; h = x + 13; d = p + 1; i = c + 19; y = v + 20; p = 8; a = j + 1; n = h + 4; u = p + 13; c = n + 6. If p = 8, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"t": "g + 11", "k": "t + 2", "q": "k + 20", "r": "q + 12", "d": "r + 15", "s": "d + 12", "b": "g + 14", "x": "b + 19", "h": "x + 18", "l": "h + 4", "n": "l + 9", "i": "n + 15", "g": 1}, "premises": {"g": 1}, "target": "s"}, "answer": {"steps": [["d", "r + 15", "r + 27"], ["r", "q + 12", "q + 39"], ["q", "k + 20", "k + 59"], ["k", "t + 2", "t + 61"], ["t", "g + 11", "g + 72"], ["g", 1, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"g": 1}, "is_reverse": true}}
| 1,873
| 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 = g + 14; r = q + 12; t = g + 11; x = b + 19; l = h + 4; k = t + 2; s = d + 12; g = 1; h = x + 18; n = l + 9; i = n + 15; d = r + 15; q = k + 20. If g = 1, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 15 to s, which gives s = r + 27.\n2. Substitute r = q + 12 to s, which gives s = q + 39.\n3. Substitute q = k + 20 to s, which gives s = k + 59.\n4. Substitute k = t + 2 to s, which gives s = t + 61.\n5. Substitute t = g + 11 to s, which gives s = g + 72.\n6. Substitute g = 1 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 1873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 14; r = q + 12; t = g + 11; x = b + 19; l = h + 4; k = t + 2; s = d + 12; g = 1; h = x + 18; n = l + 9; i = n + 15; d = r + 15; q = k + 20. If g = 1, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 5", "j": "f + 6", "w": "j + 14", "r": "w + 6", "d": "r + 2", "k": "d + 18", "o": "t + 6", "n": "o + 12", "i": "n + 15", "z": "i + 3", "y": "z + 2", "m": "y + 15", "t": 5}, "premises": {"t": 5}, "target": "k"}, "answer": {"steps": [["d", "r + 2", "r + 20"], ["r", "w + 6", "w + 26"], ["w", "j + 14", "j + 40"], ["j", "f + 6", "f + 46"], ["f", "t + 5", "t + 51"], ["t", 5, "56"]], "target_var_name": "k", "target_value": 56, "value_dict": {"t": 5}, "is_reverse": true}}
| 1,874
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = t + 6; d = r + 2; z = i + 3; w = j + 14; m = y + 15; n = o + 12; r = w + 6; y = z + 2; j = f + 6; k = d + 18; f = t + 5; t = 5; i = n + 15. Given that t = 5, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 2 to k, which gives k = r + 20.\n2. Substitute r = w + 6 to k, which gives k = w + 26.\n3. Substitute w = j + 14 to k, which gives k = j + 40.\n4. Substitute j = f + 6 to k, which gives k = f + 46.\n5. Substitute f = t + 5 to k, which gives k = t + 51.\n6. Substitute t = 5 to k, which gives k = 56.\n\nThus, the final answer is k = \\boxed{56}.",
"index": 1874,
"question": "Suppose a collection of variables is related by the following definitions: o = t + 6; d = r + 2; z = i + 3; w = j + 14; m = y + 15; n = o + 12; r = w + 6; y = z + 2; j = f + 6; k = d + 18; f = t + 5; t = 5; i = n + 15. Given that t = 5, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"p": "b + 20", "s": "p + 12", "r": "s + 3", "e": "r + 7", "v": "e + 10", "q": "v + 7", "f": "b + 3", "t": "f + 10", "m": "t + 7", "h": "m + 19", "a": "h + 9", "j": "a + 4", "b": 13}, "premises": {"b": 13}, "target": "q"}, "answer": {"steps": [["v", "e + 10", "e + 17"], ["e", "r + 7", "r + 24"], ["r", "s + 3", "s + 27"], ["s", "p + 12", "p + 39"], ["p", "b + 20", "b + 59"], ["b", 13, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"b": 13}, "is_reverse": true}}
| 1,875
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 20; t = f + 10; e = r + 7; r = s + 3; m = t + 7; s = p + 12; f = b + 3; b = 13; j = a + 4; v = e + 10; h = m + 19; q = v + 7; a = h + 9. If b = 13, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 10 to q, which gives q = e + 17.\n2. Substitute e = r + 7 to q, which gives q = r + 24.\n3. Substitute r = s + 3 to q, which gives q = s + 27.\n4. Substitute s = p + 12 to q, which gives q = p + 39.\n5. Substitute p = b + 20 to q, which gives q = b + 59.\n6. Substitute b = 13 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 1875,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 20; t = f + 10; e = r + 7; r = s + 3; m = t + 7; s = p + 12; f = b + 3; b = 13; j = a + 4; v = e + 10; h = m + 19; q = v + 7; a = h + 9. If b = 13, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"j": "r + 20", "i": "j + 15", "c": "i + 13", "e": "c + 13", "w": "e + 9", "b": "w + 15", "d": "r + 2", "q": "d + 9", "v": "q + 3", "a": "v + 10", "f": "a + 3", "h": "f + 15", "r": 15}, "premises": {"r": 15}, "target": "b"}, "answer": {"steps": [["w", "e + 9", "e + 24"], ["e", "c + 13", "c + 37"], ["c", "i + 13", "i + 50"], ["i", "j + 15", "j + 65"], ["j", "r + 20", "r + 85"], ["r", 15, "100"]], "target_var_name": "b", "target_value": 100, "value_dict": {"r": 15}, "is_reverse": true}}
| 1,876
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = v + 10; b = w + 15; i = j + 15; j = r + 20; q = d + 9; f = a + 3; d = r + 2; w = e + 9; e = c + 13; r = 15; v = q + 3; c = i + 13; h = f + 15. If r = 15, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 9 to b, which gives b = e + 24.\n2. Substitute e = c + 13 to b, which gives b = c + 37.\n3. Substitute c = i + 13 to b, which gives b = i + 50.\n4. Substitute i = j + 15 to b, which gives b = j + 65.\n5. Substitute j = r + 20 to b, which gives b = r + 85.\n6. Substitute r = 15 to b, which gives b = 100.\n\nThus, the final answer is b = \\boxed{100}.",
"index": 1876,
"question": "Consider a system of variables where each variable is defined as follows: a = v + 10; b = w + 15; i = j + 15; j = r + 20; q = d + 9; f = a + 3; d = r + 2; w = e + 9; e = c + 13; r = 15; v = q + 3; c = i + 13; h = f + 15. If r = 15, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"s": "f + 1", "y": "s + 19", "n": "y + 7", "a": "n + 11", "q": "a + 14", "c": "q + 2", "g": "f + 13", "k": "g + 17", "r": "k + 3", "p": "r + 9", "t": "p + 16", "o": "t + 15", "f": 6}, "premises": {"f": 6}, "target": "c"}, "answer": {"steps": [["q", "a + 14", "a + 16"], ["a", "n + 11", "n + 27"], ["n", "y + 7", "y + 34"], ["y", "s + 19", "s + 53"], ["s", "f + 1", "f + 54"], ["f", 6, "60"]], "target_var_name": "c", "target_value": 60, "value_dict": {"f": 6}, "is_reverse": true}}
| 1,877
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = q + 2; y = s + 19; s = f + 1; a = n + 11; g = f + 13; k = g + 17; n = y + 7; p = r + 9; o = t + 15; r = k + 3; f = 6; q = a + 14; t = p + 16. If f = 6, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 14 to c, which gives c = a + 16.\n2. Substitute a = n + 11 to c, which gives c = n + 27.\n3. Substitute n = y + 7 to c, which gives c = y + 34.\n4. Substitute y = s + 19 to c, which gives c = s + 53.\n5. Substitute s = f + 1 to c, which gives c = f + 54.\n6. Substitute f = 6 to c, which gives c = 60.\n\nThus, the final answer is c = \\boxed{60}.",
"index": 1877,
"question": "Consider a system of variables where each variable is defined as follows: c = q + 2; y = s + 19; s = f + 1; a = n + 11; g = f + 13; k = g + 17; n = y + 7; p = r + 9; o = t + 15; r = k + 3; f = 6; q = a + 14; t = p + 16. If f = 6, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"b": "t + 2", "k": "b + 18", "j": "k + 14", "e": "j + 9", "y": "e + 13", "p": "y + 1", "r": "t + 20", "z": "r + 3", "x": "z + 5", "m": "x + 6", "d": "m + 18", "v": "d + 3", "t": 8}, "premises": {"t": 8}, "target": "p"}, "answer": {"steps": [["y", "e + 13", "e + 14"], ["e", "j + 9", "j + 23"], ["j", "k + 14", "k + 37"], ["k", "b + 18", "b + 55"], ["b", "t + 2", "t + 57"], ["t", 8, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"t": 8}, "is_reverse": true}}
| 1,878
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = t + 2; k = b + 18; y = e + 13; x = z + 5; v = d + 3; r = t + 20; j = k + 14; e = j + 9; z = r + 3; d = m + 18; p = y + 1; t = 8; m = x + 6. If t = 8, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 13 to p, which gives p = e + 14.\n2. Substitute e = j + 9 to p, which gives p = j + 23.\n3. Substitute j = k + 14 to p, which gives p = k + 37.\n4. Substitute k = b + 18 to p, which gives p = b + 55.\n5. Substitute b = t + 2 to p, which gives p = t + 57.\n6. Substitute t = 8 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 1878,
"question": "Consider a system of variables where each variable is defined as follows: b = t + 2; k = b + 18; y = e + 13; x = z + 5; v = d + 3; r = t + 20; j = k + 14; e = j + 9; z = r + 3; d = m + 18; p = y + 1; t = 8; m = x + 6. If t = 8, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"f": "k + 10", "w": "f + 15", "r": "w + 5", "t": "r + 6", "z": "t + 3", "n": "z + 10", "s": "k + 7", "v": "s + 16", "o": "v + 3", "u": "o + 17", "q": "u + 17", "i": "q + 10", "k": 7}, "premises": {"k": 7}, "target": "n"}, "answer": {"steps": [["z", "t + 3", "t + 13"], ["t", "r + 6", "r + 19"], ["r", "w + 5", "w + 24"], ["w", "f + 15", "f + 39"], ["f", "k + 10", "k + 49"], ["k", 7, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"k": 7}, "is_reverse": true}}
| 1,879
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 7; t = r + 6; w = f + 15; f = k + 10; u = o + 17; n = z + 10; i = q + 10; z = t + 3; v = s + 16; s = k + 7; o = v + 3; q = u + 17; r = w + 5. If k = 7, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 56,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 3 to n, which gives n = t + 13.\n2. Substitute t = r + 6 to n, which gives n = r + 19.\n3. Substitute r = w + 5 to n, which gives n = w + 24.\n4. Substitute w = f + 15 to n, which gives n = f + 39.\n5. Substitute f = k + 10 to n, which gives n = k + 49.\n6. Substitute k = 7 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 1879,
"question": "Consider a system of variables where each variable is defined as follows: k = 7; t = r + 6; w = f + 15; f = k + 10; u = o + 17; n = z + 10; i = q + 10; z = t + 3; v = s + 16; s = k + 7; o = v + 3; q = u + 17; r = w + 5. If k = 7, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 9", "h": "s + 2", "w": "h + 18", "g": "w + 8", "x": "g + 15", "m": "x + 16", "u": "a + 4", "b": "u + 13", "f": "b + 3", "y": "f + 5", "p": "y + 18", "c": "p + 9", "a": 16}, "premises": {"a": 16}, "target": "m"}, "answer": {"steps": [["x", "g + 15", "g + 31"], ["g", "w + 8", "w + 39"], ["w", "h + 18", "h + 57"], ["h", "s + 2", "s + 59"], ["s", "a + 9", "a + 68"], ["a", 16, "84"]], "target_var_name": "m", "target_value": 84, "value_dict": {"a": 16}, "is_reverse": true}}
| 1,880
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 16; p = y + 18; x = g + 15; g = w + 8; b = u + 13; a = 16; y = f + 5; s = a + 9; f = b + 3; c = p + 9; w = h + 18; h = s + 2; u = a + 4. If a = 16, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 15 to m, which gives m = g + 31.\n2. Substitute g = w + 8 to m, which gives m = w + 39.\n3. Substitute w = h + 18 to m, which gives m = h + 57.\n4. Substitute h = s + 2 to m, which gives m = s + 59.\n5. Substitute s = a + 9 to m, which gives m = a + 68.\n6. Substitute a = 16 to m, which gives m = 84.\n\nThus, the final answer is m = \\boxed{84}.",
"index": 1880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = x + 16; p = y + 18; x = g + 15; g = w + 8; b = u + 13; a = 16; y = f + 5; s = a + 9; f = b + 3; c = p + 9; w = h + 18; h = s + 2; u = a + 4. If a = 16, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"m": "z + 3", "o": "m + 14", "e": "o + 7", "u": "e + 14", "j": "u + 5", "v": "j + 5", "y": "z + 5", "i": "y + 17", "w": "i + 11", "a": "w + 10", "d": "a + 17", "g": "d + 5", "z": 16}, "premises": {"z": 16}, "target": "v"}, "answer": {"steps": [["j", "u + 5", "u + 10"], ["u", "e + 14", "e + 24"], ["e", "o + 7", "o + 31"], ["o", "m + 14", "m + 45"], ["m", "z + 3", "z + 48"], ["z", 16, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"z": 16}, "is_reverse": true}}
| 1,881
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 3; w = i + 11; a = w + 10; u = e + 14; j = u + 5; o = m + 14; d = a + 17; g = d + 5; v = j + 5; z = 16; e = o + 7; i = y + 17; y = z + 5. If z = 16, what is the resulting value of v?",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 5 to v, which gives v = u + 10.\n2. Substitute u = e + 14 to v, which gives v = e + 24.\n3. Substitute e = o + 7 to v, which gives v = o + 31.\n4. Substitute o = m + 14 to v, which gives v = m + 45.\n5. Substitute m = z + 3 to v, which gives v = z + 48.\n6. Substitute z = 16 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 1881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = z + 3; w = i + 11; a = w + 10; u = e + 14; j = u + 5; o = m + 14; d = a + 17; g = d + 5; v = j + 5; z = 16; e = o + 7; i = y + 17; y = z + 5. If z = 16, what is the resulting value of v?",
"split": "train"
}
|
{"problem": {"rules": {"l": "f + 19", "u": "l + 1", "h": "u + 5", "i": "h + 9", "y": "i + 3", "s": "y + 3", "k": "f + 11", "e": "k + 17", "j": "e + 7", "r": "j + 2", "v": "r + 19", "n": "v + 14", "f": 1}, "premises": {"f": 1}, "target": "s"}, "answer": {"steps": [["y", "i + 3", "i + 6"], ["i", "h + 9", "h + 15"], ["h", "u + 5", "u + 20"], ["u", "l + 1", "l + 21"], ["l", "f + 19", "f + 40"], ["f", 1, "41"]], "target_var_name": "s", "target_value": 41, "value_dict": {"f": 1}, "is_reverse": true}}
| 1,882
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = u + 5; u = l + 1; j = e + 7; l = f + 19; s = y + 3; e = k + 17; k = f + 11; r = j + 2; n = v + 14; i = h + 9; f = 1; v = r + 19; y = i + 3. Given that f = 1, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = i + 3 to s, which gives s = i + 6.\n2. Substitute i = h + 9 to s, which gives s = h + 15.\n3. Substitute h = u + 5 to s, which gives s = u + 20.\n4. Substitute u = l + 1 to s, which gives s = l + 21.\n5. Substitute l = f + 19 to s, which gives s = f + 40.\n6. Substitute f = 1 to s, which gives s = 41.\n\nThus, the final answer is s = \\boxed{41}.",
"index": 1882,
"question": "Suppose a collection of variables is related by the following definitions: h = u + 5; u = l + 1; j = e + 7; l = f + 19; s = y + 3; e = k + 17; k = f + 11; r = j + 2; n = v + 14; i = h + 9; f = 1; v = r + 19; y = i + 3. Given that f = 1, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"e": "t + 9", "b": "e + 11", "z": "b + 13", "v": "z + 19", "x": "v + 1", "j": "x + 1", "p": "t + 12", "m": "p + 16", "u": "m + 8", "w": "u + 11", "d": "w + 13", "a": "d + 11", "t": 15}, "premises": {"t": 15}, "target": "j"}, "answer": {"steps": [["x", "v + 1", "v + 2"], ["v", "z + 19", "z + 21"], ["z", "b + 13", "b + 34"], ["b", "e + 11", "e + 45"], ["e", "t + 9", "t + 54"], ["t", 15, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"t": 15}, "is_reverse": true}}
| 1,883
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 19; t = 15; d = w + 13; x = v + 1; z = b + 13; u = m + 8; b = e + 11; j = x + 1; m = p + 16; w = u + 11; p = t + 12; e = t + 9; a = d + 11. Given that t = 15, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 1 to j, which gives j = v + 2.\n2. Substitute v = z + 19 to j, which gives j = z + 21.\n3. Substitute z = b + 13 to j, which gives j = b + 34.\n4. Substitute b = e + 11 to j, which gives j = e + 45.\n5. Substitute e = t + 9 to j, which gives j = t + 54.\n6. Substitute t = 15 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 1883,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 19; t = 15; d = w + 13; x = v + 1; z = b + 13; u = m + 8; b = e + 11; j = x + 1; m = p + 16; w = u + 11; p = t + 12; e = t + 9; a = d + 11. Given that t = 15, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 15", "j": "n + 16", "r": "j + 20", "e": "r + 9", "o": "e + 15", "m": "o + 9", "d": "q + 9", "w": "d + 19", "v": "w + 13", "a": "v + 2", "g": "a + 15", "t": "g + 4", "q": 6}, "premises": {"q": 6}, "target": "m"}, "answer": {"steps": [["o", "e + 15", "e + 24"], ["e", "r + 9", "r + 33"], ["r", "j + 20", "j + 53"], ["j", "n + 16", "n + 69"], ["n", "q + 15", "q + 84"], ["q", 6, "90"]], "target_var_name": "m", "target_value": 90, "value_dict": {"q": 6}, "is_reverse": true}}
| 1,884
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = e + 15; j = n + 16; q = 6; w = d + 19; g = a + 15; v = w + 13; t = g + 4; e = r + 9; r = j + 20; a = v + 2; m = o + 9; n = q + 15; d = q + 9. If q = 6, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = e + 15 to m, which gives m = e + 24.\n2. Substitute e = r + 9 to m, which gives m = r + 33.\n3. Substitute r = j + 20 to m, which gives m = j + 53.\n4. Substitute j = n + 16 to m, which gives m = n + 69.\n5. Substitute n = q + 15 to m, which gives m = q + 84.\n6. Substitute q = 6 to m, which gives m = 90.\n\nThus, the final answer is m = \\boxed{90}.",
"index": 1884,
"question": "Consider a system of variables where each variable is defined as follows: o = e + 15; j = n + 16; q = 6; w = d + 19; g = a + 15; v = w + 13; t = g + 4; e = r + 9; r = j + 20; a = v + 2; m = o + 9; n = q + 15; d = q + 9. If q = 6, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 4", "e": "l + 16", "z": "e + 18", "v": "z + 2", "n": "v + 16", "k": "n + 19", "r": "j + 6", "i": "r + 13", "t": "i + 6", "p": "t + 2", "m": "p + 14", "d": "m + 9", "j": 3}, "premises": {"j": 3}, "target": "k"}, "answer": {"steps": [["n", "v + 16", "v + 35"], ["v", "z + 2", "z + 37"], ["z", "e + 18", "e + 55"], ["e", "l + 16", "l + 71"], ["l", "j + 4", "j + 75"], ["j", 3, "78"]], "target_var_name": "k", "target_value": 78, "value_dict": {"j": 3}, "is_reverse": true}}
| 1,885
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = e + 18; v = z + 2; l = j + 4; j = 3; r = j + 6; k = n + 19; m = p + 14; n = v + 16; d = m + 9; i = r + 13; e = l + 16; t = i + 6; p = t + 2. If j = 3, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 16 to k, which gives k = v + 35.\n2. Substitute v = z + 2 to k, which gives k = z + 37.\n3. Substitute z = e + 18 to k, which gives k = e + 55.\n4. Substitute e = l + 16 to k, which gives k = l + 71.\n5. Substitute l = j + 4 to k, which gives k = j + 75.\n6. Substitute j = 3 to k, which gives k = 78.\n\nThus, the final answer is k = \\boxed{78}.",
"index": 1885,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 18; v = z + 2; l = j + 4; j = 3; r = j + 6; k = n + 19; m = p + 14; n = v + 16; d = m + 9; i = r + 13; e = l + 16; t = i + 6; p = t + 2. If j = 3, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "s + 1", "f": "g + 11", "k": "f + 14", "c": "k + 12", "r": "c + 4", "o": "r + 1", "h": "s + 10", "p": "h + 9", "q": "p + 15", "w": "q + 4", "i": "w + 9", "e": "i + 17", "s": 15}, "premises": {"s": 15}, "target": "o"}, "answer": {"steps": [["r", "c + 4", "c + 5"], ["c", "k + 12", "k + 17"], ["k", "f + 14", "f + 31"], ["f", "g + 11", "g + 42"], ["g", "s + 1", "s + 43"], ["s", 15, "58"]], "target_var_name": "o", "target_value": 58, "value_dict": {"s": 15}, "is_reverse": true}}
| 1,886
| 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 + 10; f = g + 11; q = p + 15; e = i + 17; g = s + 1; r = c + 4; k = f + 14; w = q + 4; i = w + 9; p = h + 9; o = r + 1; s = 15; c = k + 12. If s = 15, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 58,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 4 to o, which gives o = c + 5.\n2. Substitute c = k + 12 to o, which gives o = k + 17.\n3. Substitute k = f + 14 to o, which gives o = f + 31.\n4. Substitute f = g + 11 to o, which gives o = g + 42.\n5. Substitute g = s + 1 to o, which gives o = s + 43.\n6. Substitute s = 15 to o, which gives o = 58.\n\nThus, the final answer is o = \\boxed{58}.",
"index": 1886,
"question": "Consider a system of variables where each variable is defined as follows: h = s + 10; f = g + 11; q = p + 15; e = i + 17; g = s + 1; r = c + 4; k = f + 14; w = q + 4; i = w + 9; p = h + 9; o = r + 1; s = 15; c = k + 12. If s = 15, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 1", "o": "u + 10", "e": "o + 14", "r": "e + 3", "t": "r + 16", "s": "t + 7", "c": "y + 20", "p": "c + 11", "f": "p + 11", "b": "f + 17", "w": "b + 19", "x": "w + 20", "y": 8}, "premises": {"y": 8}, "target": "s"}, "answer": {"steps": [["t", "r + 16", "r + 23"], ["r", "e + 3", "e + 26"], ["e", "o + 14", "o + 40"], ["o", "u + 10", "u + 50"], ["u", "y + 1", "y + 51"], ["y", 8, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"y": 8}, "is_reverse": true}}
| 1,887
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = y + 20; x = w + 20; u = y + 1; f = p + 11; o = u + 10; r = e + 3; e = o + 14; y = 8; p = c + 11; w = b + 19; s = t + 7; t = r + 16; b = f + 17. If y = 8, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 16 to s, which gives s = r + 23.\n2. Substitute r = e + 3 to s, which gives s = e + 26.\n3. Substitute e = o + 14 to s, which gives s = o + 40.\n4. Substitute o = u + 10 to s, which gives s = u + 50.\n5. Substitute u = y + 1 to s, which gives s = y + 51.\n6. Substitute y = 8 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 1887,
"question": "Consider a system of variables where each variable is defined as follows: c = y + 20; x = w + 20; u = y + 1; f = p + 11; o = u + 10; r = e + 3; e = o + 14; y = 8; p = c + 11; w = b + 19; s = t + 7; t = r + 16; b = f + 17. If y = 8, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 10", "l": "s + 18", "z": "l + 10", "f": "z + 8", "k": "f + 16", "y": "k + 11", "x": "o + 11", "r": "x + 18", "j": "r + 9", "a": "j + 15", "c": "a + 6", "v": "c + 11", "o": 14}, "premises": {"o": 14}, "target": "y"}, "answer": {"steps": [["k", "f + 16", "f + 27"], ["f", "z + 8", "z + 35"], ["z", "l + 10", "l + 45"], ["l", "s + 18", "s + 63"], ["s", "o + 10", "o + 73"], ["o", 14, "87"]], "target_var_name": "y", "target_value": 87, "value_dict": {"o": 14}, "is_reverse": true}}
| 1,888
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = s + 18; a = j + 15; f = z + 8; y = k + 11; z = l + 10; j = r + 9; v = c + 11; c = a + 6; o = 14; s = o + 10; r = x + 18; k = f + 16; x = o + 11. Given that o = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 16 to y, which gives y = f + 27.\n2. Substitute f = z + 8 to y, which gives y = z + 35.\n3. Substitute z = l + 10 to y, which gives y = l + 45.\n4. Substitute l = s + 18 to y, which gives y = s + 63.\n5. Substitute s = o + 10 to y, which gives y = o + 73.\n6. Substitute o = 14 to y, which gives y = 87.\n\nThus, the final answer is y = \\boxed{87}.",
"index": 1888,
"question": "Suppose a collection of variables is related by the following definitions: l = s + 18; a = j + 15; f = z + 8; y = k + 11; z = l + 10; j = r + 9; v = c + 11; c = a + 6; o = 14; s = o + 10; r = x + 18; k = f + 16; x = o + 11. Given that o = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"v": "a + 17", "i": "v + 3", "n": "i + 18", "b": "n + 12", "h": "b + 7", "w": "h + 2", "s": "a + 9", "y": "s + 3", "g": "y + 15", "z": "g + 13", "o": "z + 11", "p": "o + 14", "a": 20}, "premises": {"a": 20}, "target": "w"}, "answer": {"steps": [["h", "b + 7", "b + 9"], ["b", "n + 12", "n + 21"], ["n", "i + 18", "i + 39"], ["i", "v + 3", "v + 42"], ["v", "a + 17", "a + 59"], ["a", 20, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"a": 20}, "is_reverse": true}}
| 1,889
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = s + 3; v = a + 17; g = y + 15; b = n + 12; p = o + 14; z = g + 13; i = v + 3; n = i + 18; a = 20; h = b + 7; w = h + 2; s = a + 9; o = z + 11. Given that a = 20, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 7 to w, which gives w = b + 9.\n2. Substitute b = n + 12 to w, which gives w = n + 21.\n3. Substitute n = i + 18 to w, which gives w = i + 39.\n4. Substitute i = v + 3 to w, which gives w = v + 42.\n5. Substitute v = a + 17 to w, which gives w = a + 59.\n6. Substitute a = 20 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 1889,
"question": "Suppose a collection of variables is related by the following definitions: y = s + 3; v = a + 17; g = y + 15; b = n + 12; p = o + 14; z = g + 13; i = v + 3; n = i + 18; a = 20; h = b + 7; w = h + 2; s = a + 9; o = z + 11. Given that a = 20, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"t": "a + 7", "i": "t + 2", "w": "i + 2", "u": "w + 9", "s": "u + 1", "y": "s + 16", "d": "a + 20", "l": "d + 10", "f": "l + 13", "x": "f + 20", "g": "x + 11", "q": "g + 16", "a": 4}, "premises": {"a": 4}, "target": "y"}, "answer": {"steps": [["s", "u + 1", "u + 17"], ["u", "w + 9", "w + 26"], ["w", "i + 2", "i + 28"], ["i", "t + 2", "t + 30"], ["t", "a + 7", "a + 37"], ["a", 4, "41"]], "target_var_name": "y", "target_value": 41, "value_dict": {"a": 4}, "is_reverse": true}}
| 1,890
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 11; t = a + 7; y = s + 16; a = 4; i = t + 2; d = a + 20; u = w + 9; f = l + 13; x = f + 20; q = g + 16; l = d + 10; s = u + 1; w = i + 2. If a = 4, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 41,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 1 to y, which gives y = u + 17.\n2. Substitute u = w + 9 to y, which gives y = w + 26.\n3. Substitute w = i + 2 to y, which gives y = i + 28.\n4. Substitute i = t + 2 to y, which gives y = t + 30.\n5. Substitute t = a + 7 to y, which gives y = a + 37.\n6. Substitute a = 4 to y, which gives y = 41.\n\nThus, the final answer is y = \\boxed{41}.",
"index": 1890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = x + 11; t = a + 7; y = s + 16; a = 4; i = t + 2; d = a + 20; u = w + 9; f = l + 13; x = f + 20; q = g + 16; l = d + 10; s = u + 1; w = i + 2. If a = 4, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"o": "u + 15", "c": "o + 13", "x": "c + 17", "z": "x + 15", "d": "z + 3", "y": "d + 3", "p": "u + 1", "f": "p + 13", "l": "f + 18", "g": "l + 4", "e": "g + 12", "b": "e + 10", "u": 9}, "premises": {"u": 9}, "target": "y"}, "answer": {"steps": [["d", "z + 3", "z + 6"], ["z", "x + 15", "x + 21"], ["x", "c + 17", "c + 38"], ["c", "o + 13", "o + 51"], ["o", "u + 15", "u + 66"], ["u", 9, "75"]], "target_var_name": "y", "target_value": 75, "value_dict": {"u": 9}, "is_reverse": true}}
| 1,891
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = f + 18; p = u + 1; z = x + 15; u = 9; e = g + 12; x = c + 17; f = p + 13; o = u + 15; b = e + 10; c = o + 13; y = d + 3; d = z + 3; g = l + 4. If u = 9, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 3 to y, which gives y = z + 6.\n2. Substitute z = x + 15 to y, which gives y = x + 21.\n3. Substitute x = c + 17 to y, which gives y = c + 38.\n4. Substitute c = o + 13 to y, which gives y = o + 51.\n5. Substitute o = u + 15 to y, which gives y = u + 66.\n6. Substitute u = 9 to y, which gives y = 75.\n\nThus, the final answer is y = \\boxed{75}.",
"index": 1891,
"question": "Consider a system of variables where each variable is defined as follows: l = f + 18; p = u + 1; z = x + 15; u = 9; e = g + 12; x = c + 17; f = p + 13; o = u + 15; b = e + 10; c = o + 13; y = d + 3; d = z + 3; g = l + 4. If u = 9, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"s": "a + 14", "h": "s + 20", "m": "h + 17", "v": "m + 10", "k": "v + 4", "l": "k + 4", "n": "a + 3", "r": "n + 6", "y": "r + 1", "i": "y + 13", "e": "i + 2", "g": "e + 8", "a": 6}, "premises": {"a": 6}, "target": "l"}, "answer": {"steps": [["k", "v + 4", "v + 8"], ["v", "m + 10", "m + 18"], ["m", "h + 17", "h + 35"], ["h", "s + 20", "s + 55"], ["s", "a + 14", "a + 69"], ["a", 6, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"a": 6}, "is_reverse": true}}
| 1,892
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 6; l = k + 4; g = e + 8; m = h + 17; s = a + 14; y = r + 1; a = 6; h = s + 20; n = a + 3; k = v + 4; i = y + 13; e = i + 2; v = m + 10. If a = 6, what is the resulting value of l?",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = v + 4 to l, which gives l = v + 8.\n2. Substitute v = m + 10 to l, which gives l = m + 18.\n3. Substitute m = h + 17 to l, which gives l = h + 35.\n4. Substitute h = s + 20 to l, which gives l = s + 55.\n5. Substitute s = a + 14 to l, which gives l = a + 69.\n6. Substitute a = 6 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 1892,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = n + 6; l = k + 4; g = e + 8; m = h + 17; s = a + 14; y = r + 1; a = 6; h = s + 20; n = a + 3; k = v + 4; i = y + 13; e = i + 2; v = m + 10. If a = 6, what is the resulting value of l?",
"split": "train"
}
|
{"problem": {"rules": {"x": "v + 1", "q": "x + 15", "d": "q + 20", "p": "d + 9", "o": "p + 18", "e": "o + 18", "t": "v + 18", "y": "t + 7", "n": "y + 5", "s": "n + 20", "g": "s + 12", "z": "g + 6", "v": 7}, "premises": {"v": 7}, "target": "e"}, "answer": {"steps": [["o", "p + 18", "p + 36"], ["p", "d + 9", "d + 45"], ["d", "q + 20", "q + 65"], ["q", "x + 15", "x + 80"], ["x", "v + 1", "v + 81"], ["v", 7, "88"]], "target_var_name": "e", "target_value": 88, "value_dict": {"v": 7}, "is_reverse": true}}
| 1,893
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = p + 18; v = 7; g = s + 12; p = d + 9; d = q + 20; q = x + 15; n = y + 5; x = v + 1; e = o + 18; t = v + 18; z = g + 6; y = t + 7; s = n + 20. Given that v = 7, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 18 to e, which gives e = p + 36.\n2. Substitute p = d + 9 to e, which gives e = d + 45.\n3. Substitute d = q + 20 to e, which gives e = q + 65.\n4. Substitute q = x + 15 to e, which gives e = x + 80.\n5. Substitute x = v + 1 to e, which gives e = v + 81.\n6. Substitute v = 7 to e, which gives e = 88.\n\nThus, the final answer is e = \\boxed{88}.",
"index": 1893,
"question": "Suppose a collection of variables is related by the following definitions: o = p + 18; v = 7; g = s + 12; p = d + 9; d = q + 20; q = x + 15; n = y + 5; x = v + 1; e = o + 18; t = v + 18; z = g + 6; y = t + 7; s = n + 20. Given that v = 7, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"n": "j + 12", "y": "n + 12", "w": "y + 16", "r": "w + 19", "t": "r + 11", "f": "t + 2", "p": "j + 6", "u": "p + 20", "i": "u + 15", "d": "i + 13", "k": "d + 3", "e": "k + 14", "j": 8}, "premises": {"j": 8}, "target": "f"}, "answer": {"steps": [["t", "r + 11", "r + 13"], ["r", "w + 19", "w + 32"], ["w", "y + 16", "y + 48"], ["y", "n + 12", "n + 60"], ["n", "j + 12", "j + 72"], ["j", 8, "80"]], "target_var_name": "f", "target_value": 80, "value_dict": {"j": 8}, "is_reverse": true}}
| 1,894
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = 8; d = i + 13; r = w + 19; f = t + 2; w = y + 16; e = k + 14; y = n + 12; i = u + 15; t = r + 11; u = p + 20; k = d + 3; n = j + 12; p = j + 6. If j = 8, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 11 to f, which gives f = r + 13.\n2. Substitute r = w + 19 to f, which gives f = w + 32.\n3. Substitute w = y + 16 to f, which gives f = y + 48.\n4. Substitute y = n + 12 to f, which gives f = n + 60.\n5. Substitute n = j + 12 to f, which gives f = j + 72.\n6. Substitute j = 8 to f, which gives f = 80.\n\nThus, the final answer is f = \\boxed{80}.",
"index": 1894,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = 8; d = i + 13; r = w + 19; f = t + 2; w = y + 16; e = k + 14; y = n + 12; i = u + 15; t = r + 11; u = p + 20; k = d + 3; n = j + 12; p = j + 6. If j = 8, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"p": "k + 10", "i": "p + 17", "n": "i + 14", "e": "n + 19", "l": "e + 7", "z": "l + 6", "r": "k + 7", "a": "r + 8", "c": "a + 8", "t": "c + 8", "g": "t + 8", "q": "g + 3", "k": 14}, "premises": {"k": 14}, "target": "z"}, "answer": {"steps": [["l", "e + 7", "e + 13"], ["e", "n + 19", "n + 32"], ["n", "i + 14", "i + 46"], ["i", "p + 17", "p + 63"], ["p", "k + 10", "k + 73"], ["k", 14, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"k": 14}, "is_reverse": true}}
| 1,895
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 3; l = e + 7; g = t + 8; n = i + 14; t = c + 8; k = 14; p = k + 10; z = l + 6; i = p + 17; r = k + 7; a = r + 8; e = n + 19; c = a + 8. If k = 14, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 7 to z, which gives z = e + 13.\n2. Substitute e = n + 19 to z, which gives z = n + 32.\n3. Substitute n = i + 14 to z, which gives z = i + 46.\n4. Substitute i = p + 17 to z, which gives z = p + 63.\n5. Substitute p = k + 10 to z, which gives z = k + 73.\n6. Substitute k = 14 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 1895,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = g + 3; l = e + 7; g = t + 8; n = i + 14; t = c + 8; k = 14; p = k + 10; z = l + 6; i = p + 17; r = k + 7; a = r + 8; e = n + 19; c = a + 8. If k = 14, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"f": "t + 2", "b": "f + 20", "l": "b + 16", "d": "l + 9", "z": "d + 5", "q": "z + 10", "a": "t + 8", "v": "a + 14", "h": "v + 8", "x": "h + 4", "w": "x + 16", "y": "w + 16", "t": 10}, "premises": {"t": 10}, "target": "q"}, "answer": {"steps": [["z", "d + 5", "d + 15"], ["d", "l + 9", "l + 24"], ["l", "b + 16", "b + 40"], ["b", "f + 20", "f + 60"], ["f", "t + 2", "t + 62"], ["t", 10, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"t": 10}, "is_reverse": true}}
| 1,896
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 8; x = h + 4; b = f + 20; z = d + 5; t = 10; v = a + 14; w = x + 16; f = t + 2; q = z + 10; l = b + 16; d = l + 9; y = w + 16; a = t + 8. If t = 10, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 5 to q, which gives q = d + 15.\n2. Substitute d = l + 9 to q, which gives q = l + 24.\n3. Substitute l = b + 16 to q, which gives q = b + 40.\n4. Substitute b = f + 20 to q, which gives q = f + 60.\n5. Substitute f = t + 2 to q, which gives q = t + 62.\n6. Substitute t = 10 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 1896,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 8; x = h + 4; b = f + 20; z = d + 5; t = 10; v = a + 14; w = x + 16; f = t + 2; q = z + 10; l = b + 16; d = l + 9; y = w + 16; a = t + 8. If t = 10, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"a": "x + 10", "u": "a + 5", "l": "u + 19", "w": "l + 8", "k": "w + 16", "j": "k + 6", "c": "x + 11", "y": "c + 14", "z": "y + 17", "p": "z + 12", "b": "p + 8", "g": "b + 5", "x": 12}, "premises": {"x": 12}, "target": "j"}, "answer": {"steps": [["k", "w + 16", "w + 22"], ["w", "l + 8", "l + 30"], ["l", "u + 19", "u + 49"], ["u", "a + 5", "a + 54"], ["a", "x + 10", "x + 64"], ["x", 12, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"x": 12}, "is_reverse": true}}
| 1,897
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 11; p = z + 12; u = a + 5; w = l + 8; j = k + 6; l = u + 19; x = 12; y = c + 14; g = b + 5; b = p + 8; a = x + 10; k = w + 16; z = y + 17. Given that x = 12, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 16 to j, which gives j = w + 22.\n2. Substitute w = l + 8 to j, which gives j = l + 30.\n3. Substitute l = u + 19 to j, which gives j = u + 49.\n4. Substitute u = a + 5 to j, which gives j = a + 54.\n5. Substitute a = x + 10 to j, which gives j = x + 64.\n6. Substitute x = 12 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 1897,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 11; p = z + 12; u = a + 5; w = l + 8; j = k + 6; l = u + 19; x = 12; y = c + 14; g = b + 5; b = p + 8; a = x + 10; k = w + 16; z = y + 17. Given that x = 12, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"d": "u + 5", "m": "d + 1", "o": "m + 4", "i": "o + 3", "r": "i + 2", "w": "r + 15", "h": "u + 11", "c": "h + 13", "j": "c + 8", "y": "j + 15", "f": "y + 6", "g": "f + 7", "u": 13}, "premises": {"u": 13}, "target": "w"}, "answer": {"steps": [["r", "i + 2", "i + 17"], ["i", "o + 3", "o + 20"], ["o", "m + 4", "m + 24"], ["m", "d + 1", "d + 25"], ["d", "u + 5", "u + 30"], ["u", 13, "43"]], "target_var_name": "w", "target_value": 43, "value_dict": {"u": 13}, "is_reverse": true}}
| 1,898
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 11; i = o + 3; f = y + 6; r = i + 2; w = r + 15; m = d + 1; u = 13; d = u + 5; o = m + 4; g = f + 7; j = c + 8; y = j + 15; c = h + 13. If u = 13, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 2 to w, which gives w = i + 17.\n2. Substitute i = o + 3 to w, which gives w = o + 20.\n3. Substitute o = m + 4 to w, which gives w = m + 24.\n4. Substitute m = d + 1 to w, which gives w = d + 25.\n5. Substitute d = u + 5 to w, which gives w = u + 30.\n6. Substitute u = 13 to w, which gives w = 43.\n\nThus, the final answer is w = \\boxed{43}.",
"index": 1898,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 11; i = o + 3; f = y + 6; r = i + 2; w = r + 15; m = d + 1; u = 13; d = u + 5; o = m + 4; g = f + 7; j = c + 8; y = j + 15; c = h + 13. If u = 13, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"r": "g + 19", "f": "r + 15", "y": "f + 8", "h": "y + 18", "e": "h + 14", "t": "e + 13", "d": "g + 10", "i": "d + 20", "c": "i + 2", "u": "c + 14", "s": "u + 6", "n": "s + 15", "g": 3}, "premises": {"g": 3}, "target": "t"}, "answer": {"steps": [["e", "h + 14", "h + 27"], ["h", "y + 18", "y + 45"], ["y", "f + 8", "f + 53"], ["f", "r + 15", "r + 68"], ["r", "g + 19", "g + 87"], ["g", 3, "90"]], "target_var_name": "t", "target_value": 90, "value_dict": {"g": 3}, "is_reverse": true}}
| 1,899
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 10; f = r + 15; r = g + 19; s = u + 6; g = 3; n = s + 15; u = c + 14; c = i + 2; e = h + 14; t = e + 13; i = d + 20; h = y + 18; y = f + 8. Given that g = 3, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = h + 14 to t, which gives t = h + 27.\n2. Substitute h = y + 18 to t, which gives t = y + 45.\n3. Substitute y = f + 8 to t, which gives t = f + 53.\n4. Substitute f = r + 15 to t, which gives t = r + 68.\n5. Substitute r = g + 19 to t, which gives t = g + 87.\n6. Substitute g = 3 to t, which gives t = 90.\n\nThus, the final answer is t = \\boxed{90}.",
"index": 1899,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 10; f = r + 15; r = g + 19; s = u + 6; g = 3; n = s + 15; u = c + 14; c = i + 2; e = h + 14; t = e + 13; i = d + 20; h = y + 18; y = f + 8. Given that g = 3, find the value of t.",
"split": "train"
}
|
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