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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"z": "e + 16", "k": "z + 6", "m": "k + 13", "s": "m + 11", "b": "s + 10", "f": "b + 2", "o": "e + 13", "r": "o + 4", "x": "r + 16", "t": "x + 5", "d": "t + 12", "h": "d + 17", "e": 9}, "premises": {"e": 9}, "target": "f"}, "answer": {"steps": [["b", "s + 10", "s + 12"], ["s", "m + 11", "m + 23"], ["m", "k + 13", "k + 36"], ["k", "z + 6", "z + 42"], ["z", "e + 16", "e + 58"], ["e", 9, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"e": 9}, "is_reverse": true}}
| 4,900
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = m + 11; r = o + 4; t = x + 5; e = 9; b = s + 10; k = z + 6; z = e + 16; f = b + 2; o = e + 13; x = r + 16; h = d + 17; d = t + 12; m = k + 13. If e = 9, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 10 to f, which gives f = s + 12.\n2. Substitute s = m + 11 to f, which gives f = m + 23.\n3. Substitute m = k + 13 to f, which gives f = k + 36.\n4. Substitute k = z + 6 to f, which gives f = z + 42.\n5. Substitute z = e + 16 to f, which gives f = e + 58.\n6. Substitute e = 9 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 4900,
"question": "Consider a system of variables where each variable is defined as follows: s = m + 11; r = o + 4; t = x + 5; e = 9; b = s + 10; k = z + 6; z = e + 16; f = b + 2; o = e + 13; x = r + 16; h = d + 17; d = t + 12; m = k + 13. If e = 9, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"x": "b + 15", "m": "x + 19", "p": "m + 12", "z": "p + 10", "e": "z + 8", "a": "e + 5", "u": "b + 13", "l": "u + 3", "j": "l + 15", "g": "j + 17", "t": "g + 9", "o": "t + 12", "b": 17}, "premises": {"b": 17}, "target": "a"}, "answer": {"steps": [["e", "z + 8", "z + 13"], ["z", "p + 10", "p + 23"], ["p", "m + 12", "m + 35"], ["m", "x + 19", "x + 54"], ["x", "b + 15", "b + 69"], ["b", 17, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"b": 17}, "is_reverse": true}}
| 4,901
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = j + 17; j = l + 15; m = x + 19; l = u + 3; z = p + 10; t = g + 9; o = t + 12; x = b + 15; u = b + 13; b = 17; p = m + 12; a = e + 5; e = z + 8. Given that b = 17, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = z + 8 to a, which gives a = z + 13.\n2. Substitute z = p + 10 to a, which gives a = p + 23.\n3. Substitute p = m + 12 to a, which gives a = m + 35.\n4. Substitute m = x + 19 to a, which gives a = x + 54.\n5. Substitute x = b + 15 to a, which gives a = b + 69.\n6. Substitute b = 17 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 4901,
"question": "Suppose a collection of variables is related by the following definitions: g = j + 17; j = l + 15; m = x + 19; l = u + 3; z = p + 10; t = g + 9; o = t + 12; x = b + 15; u = b + 13; b = 17; p = m + 12; a = e + 5; e = z + 8. Given that b = 17, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"o": "h + 5", "u": "o + 9", "r": "u + 2", "i": "r + 17", "w": "i + 8", "g": "w + 17", "n": "h + 1", "l": "n + 7", "k": "l + 4", "q": "k + 18", "f": "q + 5", "v": "f + 16", "h": 3}, "premises": {"h": 3}, "target": "g"}, "answer": {"steps": [["w", "i + 8", "i + 25"], ["i", "r + 17", "r + 42"], ["r", "u + 2", "u + 44"], ["u", "o + 9", "o + 53"], ["o", "h + 5", "h + 58"], ["h", 3, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"h": 3}, "is_reverse": true}}
| 4,902
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = k + 18; g = w + 17; k = l + 4; n = h + 1; h = 3; r = u + 2; v = f + 16; u = o + 9; i = r + 17; w = i + 8; l = n + 7; f = q + 5; o = h + 5. Given that h = 3, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 8 to g, which gives g = i + 25.\n2. Substitute i = r + 17 to g, which gives g = r + 42.\n3. Substitute r = u + 2 to g, which gives g = u + 44.\n4. Substitute u = o + 9 to g, which gives g = o + 53.\n5. Substitute o = h + 5 to g, which gives g = h + 58.\n6. Substitute h = 3 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 4902,
"question": "Suppose a collection of variables is related by the following definitions: q = k + 18; g = w + 17; k = l + 4; n = h + 1; h = 3; r = u + 2; v = f + 16; u = o + 9; i = r + 17; w = i + 8; l = n + 7; f = q + 5; o = h + 5. Given that h = 3, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"t": "i + 15", "k": "t + 18", "m": "k + 7", "l": "m + 14", "v": "l + 4", "a": "v + 5", "n": "i + 12", "e": "n + 2", "j": "e + 2", "w": "j + 18", "s": "w + 13", "g": "s + 19", "i": 6}, "premises": {"i": 6}, "target": "a"}, "answer": {"steps": [["v", "l + 4", "l + 9"], ["l", "m + 14", "m + 23"], ["m", "k + 7", "k + 30"], ["k", "t + 18", "t + 48"], ["t", "i + 15", "i + 63"], ["i", 6, "69"]], "target_var_name": "a", "target_value": 69, "value_dict": {"i": 6}, "is_reverse": true}}
| 4,903
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: e = n + 2; n = i + 12; j = e + 2; g = s + 19; v = l + 4; k = t + 18; l = m + 14; i = 6; t = i + 15; a = v + 5; s = w + 13; w = j + 18; m = k + 7. If i = 6, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 4 to a, which gives a = l + 9.\n2. Substitute l = m + 14 to a, which gives a = m + 23.\n3. Substitute m = k + 7 to a, which gives a = k + 30.\n4. Substitute k = t + 18 to a, which gives a = t + 48.\n5. Substitute t = i + 15 to a, which gives a = i + 63.\n6. Substitute i = 6 to a, which gives a = 69.\n\nThus, the final answer is a = \\boxed{69}.",
"index": 4903,
"question": "Consider a system of variables where each variable is defined as follows: e = n + 2; n = i + 12; j = e + 2; g = s + 19; v = l + 4; k = t + 18; l = m + 14; i = 6; t = i + 15; a = v + 5; s = w + 13; w = j + 18; m = k + 7. If i = 6, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "b + 14", "h": "z + 4", "u": "h + 10", "i": "u + 11", "w": "i + 16", "q": "w + 17", "g": "b + 4", "k": "g + 13", "o": "k + 14", "d": "o + 16", "s": "d + 2", "v": "s + 8", "b": 5}, "premises": {"b": 5}, "target": "q"}, "answer": {"steps": [["w", "i + 16", "i + 33"], ["i", "u + 11", "u + 44"], ["u", "h + 10", "h + 54"], ["h", "z + 4", "z + 58"], ["z", "b + 14", "b + 72"], ["b", 5, "77"]], "target_var_name": "q", "target_value": 77, "value_dict": {"b": 5}, "is_reverse": true}}
| 4,904
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = z + 4; s = d + 2; k = g + 13; z = b + 14; v = s + 8; q = w + 17; b = 5; u = h + 10; o = k + 14; w = i + 16; i = u + 11; d = o + 16; g = b + 4. Given that b = 5, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = i + 16 to q, which gives q = i + 33.\n2. Substitute i = u + 11 to q, which gives q = u + 44.\n3. Substitute u = h + 10 to q, which gives q = h + 54.\n4. Substitute h = z + 4 to q, which gives q = z + 58.\n5. Substitute z = b + 14 to q, which gives q = b + 72.\n6. Substitute b = 5 to q, which gives q = 77.\n\nThus, the final answer is q = \\boxed{77}.",
"index": 4904,
"question": "Suppose a collection of variables is related by the following definitions: h = z + 4; s = d + 2; k = g + 13; z = b + 14; v = s + 8; q = w + 17; b = 5; u = h + 10; o = k + 14; w = i + 16; i = u + 11; d = o + 16; g = b + 4. Given that b = 5, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"k": "z + 2", "o": "k + 17", "b": "o + 2", "m": "b + 17", "u": "m + 20", "q": "u + 15", "r": "z + 6", "f": "r + 11", "e": "f + 10", "c": "e + 18", "x": "c + 12", "l": "x + 11", "z": 20}, "premises": {"z": 20}, "target": "q"}, "answer": {"steps": [["u", "m + 20", "m + 35"], ["m", "b + 17", "b + 52"], ["b", "o + 2", "o + 54"], ["o", "k + 17", "k + 71"], ["k", "z + 2", "z + 73"], ["z", 20, "93"]], "target_var_name": "q", "target_value": 93, "value_dict": {"z": 20}, "is_reverse": true}}
| 4,905
| 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 = b + 17; c = e + 18; q = u + 15; u = m + 20; z = 20; b = o + 2; l = x + 11; x = c + 12; o = k + 17; k = z + 2; f = r + 11; r = z + 6; e = f + 10. If z = 20, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 20 to q, which gives q = m + 35.\n2. Substitute m = b + 17 to q, which gives q = b + 52.\n3. Substitute b = o + 2 to q, which gives q = o + 54.\n4. Substitute o = k + 17 to q, which gives q = k + 71.\n5. Substitute k = z + 2 to q, which gives q = z + 73.\n6. Substitute z = 20 to q, which gives q = 93.\n\nThus, the final answer is q = \\boxed{93}.",
"index": 4905,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = b + 17; c = e + 18; q = u + 15; u = m + 20; z = 20; b = o + 2; l = x + 11; x = c + 12; o = k + 17; k = z + 2; f = r + 11; r = z + 6; e = f + 10. If z = 20, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"y": "i + 8", "o": "y + 14", "z": "o + 2", "d": "z + 17", "t": "d + 5", "s": "t + 10", "v": "i + 5", "j": "v + 16", "e": "j + 18", "l": "e + 3", "q": "l + 9", "h": "q + 14", "i": 15}, "premises": {"i": 15}, "target": "s"}, "answer": {"steps": [["t", "d + 5", "d + 15"], ["d", "z + 17", "z + 32"], ["z", "o + 2", "o + 34"], ["o", "y + 14", "y + 48"], ["y", "i + 8", "i + 56"], ["i", 15, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"i": 15}, "is_reverse": true}}
| 4,906
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 17; j = v + 16; l = e + 3; z = o + 2; t = d + 5; o = y + 14; e = j + 18; h = q + 14; s = t + 10; y = i + 8; i = 15; v = i + 5; q = l + 9. If i = 15, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 5 to s, which gives s = d + 15.\n2. Substitute d = z + 17 to s, which gives s = z + 32.\n3. Substitute z = o + 2 to s, which gives s = o + 34.\n4. Substitute o = y + 14 to s, which gives s = y + 48.\n5. Substitute y = i + 8 to s, which gives s = i + 56.\n6. Substitute i = 15 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 4906,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 17; j = v + 16; l = e + 3; z = o + 2; t = d + 5; o = y + 14; e = j + 18; h = q + 14; s = t + 10; y = i + 8; i = 15; v = i + 5; q = l + 9. If i = 15, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 14", "u": "j + 17", "o": "u + 2", "r": "o + 6", "n": "r + 1", "a": "n + 7", "x": "m + 11", "f": "x + 16", "d": "f + 17", "h": "d + 11", "k": "h + 20", "p": "k + 16", "m": 14}, "premises": {"m": 14}, "target": "a"}, "answer": {"steps": [["n", "r + 1", "r + 8"], ["r", "o + 6", "o + 14"], ["o", "u + 2", "u + 16"], ["u", "j + 17", "j + 33"], ["j", "m + 14", "m + 47"], ["m", 14, "61"]], "target_var_name": "a", "target_value": 61, "value_dict": {"m": 14}, "is_reverse": true}}
| 4,907
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 16; u = j + 17; n = r + 1; h = d + 11; p = k + 16; x = m + 11; m = 14; j = m + 14; r = o + 6; o = u + 2; a = n + 7; d = f + 17; k = h + 20. Given that m = 14, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 1 to a, which gives a = r + 8.\n2. Substitute r = o + 6 to a, which gives a = o + 14.\n3. Substitute o = u + 2 to a, which gives a = u + 16.\n4. Substitute u = j + 17 to a, which gives a = j + 33.\n5. Substitute j = m + 14 to a, which gives a = m + 47.\n6. Substitute m = 14 to a, which gives a = 61.\n\nThus, the final answer is a = \\boxed{61}.",
"index": 4907,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 16; u = j + 17; n = r + 1; h = d + 11; p = k + 16; x = m + 11; m = 14; j = m + 14; r = o + 6; o = u + 2; a = n + 7; d = f + 17; k = h + 20. Given that m = 14, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 1", "y": "n + 3", "u": "y + 9", "w": "u + 19", "t": "w + 4", "r": "t + 3", "s": "q + 13", "b": "s + 13", "i": "b + 4", "a": "i + 16", "x": "a + 19", "d": "x + 18", "q": 1}, "premises": {"q": 1}, "target": "r"}, "answer": {"steps": [["t", "w + 4", "w + 7"], ["w", "u + 19", "u + 26"], ["u", "y + 9", "y + 35"], ["y", "n + 3", "n + 38"], ["n", "q + 1", "q + 39"], ["q", 1, "40"]], "target_var_name": "r", "target_value": 40, "value_dict": {"q": 1}, "is_reverse": true}}
| 4,908
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 4; n = q + 1; a = i + 16; d = x + 18; i = b + 4; r = t + 3; w = u + 19; x = a + 19; b = s + 13; u = y + 9; y = n + 3; s = q + 13; q = 1. If q = 1, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 4 to r, which gives r = w + 7.\n2. Substitute w = u + 19 to r, which gives r = u + 26.\n3. Substitute u = y + 9 to r, which gives r = y + 35.\n4. Substitute y = n + 3 to r, which gives r = n + 38.\n5. Substitute n = q + 1 to r, which gives r = q + 39.\n6. Substitute q = 1 to r, which gives r = 40.\n\nThus, the final answer is r = \\boxed{40}.",
"index": 4908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = w + 4; n = q + 1; a = i + 16; d = x + 18; i = b + 4; r = t + 3; w = u + 19; x = a + 19; b = s + 13; u = y + 9; y = n + 3; s = q + 13; q = 1. If q = 1, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 16", "b": "a + 17", "y": "b + 13", "w": "y + 9", "s": "w + 16", "m": "s + 20", "f": "e + 8", "j": "f + 7", "k": "j + 12", "o": "k + 15", "r": "o + 3", "i": "r + 8", "e": 12}, "premises": {"e": 12}, "target": "m"}, "answer": {"steps": [["s", "w + 16", "w + 36"], ["w", "y + 9", "y + 45"], ["y", "b + 13", "b + 58"], ["b", "a + 17", "a + 75"], ["a", "e + 16", "e + 91"], ["e", 12, "103"]], "target_var_name": "m", "target_value": 103, "value_dict": {"e": 12}, "is_reverse": true}}
| 4,909
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 16; b = a + 17; a = e + 16; r = o + 3; w = y + 9; j = f + 7; m = s + 20; f = e + 8; k = j + 12; i = r + 8; o = k + 15; y = b + 13; e = 12. Given that e = 12, find the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 16 to m, which gives m = w + 36.\n2. Substitute w = y + 9 to m, which gives m = y + 45.\n3. Substitute y = b + 13 to m, which gives m = b + 58.\n4. Substitute b = a + 17 to m, which gives m = a + 75.\n5. Substitute a = e + 16 to m, which gives m = e + 91.\n6. Substitute e = 12 to m, which gives m = 103.\n\nThus, the final answer is m = \\boxed{103}.",
"index": 4909,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 16; b = a + 17; a = e + 16; r = o + 3; w = y + 9; j = f + 7; m = s + 20; f = e + 8; k = j + 12; i = r + 8; o = k + 15; y = b + 13; e = 12. Given that e = 12, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"a": "e + 14", "k": "a + 7", "x": "k + 1", "p": "x + 13", "h": "p + 11", "n": "h + 6", "y": "e + 4", "t": "y + 8", "v": "t + 13", "q": "v + 10", "l": "q + 16", "r": "l + 14", "e": 17}, "premises": {"e": 17}, "target": "n"}, "answer": {"steps": [["h", "p + 11", "p + 17"], ["p", "x + 13", "x + 30"], ["x", "k + 1", "k + 31"], ["k", "a + 7", "a + 38"], ["a", "e + 14", "e + 52"], ["e", 17, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"e": 17}, "is_reverse": true}}
| 4,910
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 13; a = e + 14; y = e + 4; l = q + 16; t = y + 8; r = l + 14; x = k + 1; n = h + 6; h = p + 11; q = v + 10; k = a + 7; e = 17; p = x + 13. If e = 17, what is the resulting value of n?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 11 to n, which gives n = p + 17.\n2. Substitute p = x + 13 to n, which gives n = x + 30.\n3. Substitute x = k + 1 to n, which gives n = k + 31.\n4. Substitute k = a + 7 to n, which gives n = a + 38.\n5. Substitute a = e + 14 to n, which gives n = e + 52.\n6. Substitute e = 17 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 4910,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 13; a = e + 14; y = e + 4; l = q + 16; t = y + 8; r = l + 14; x = k + 1; n = h + 6; h = p + 11; q = v + 10; k = a + 7; e = 17; p = x + 13. If e = 17, what is the resulting value of n?",
"split": "train"
}
|
{"problem": {"rules": {"o": "r + 8", "w": "o + 14", "i": "w + 6", "c": "i + 7", "t": "c + 18", "j": "t + 11", "l": "r + 14", "m": "l + 4", "u": "m + 4", "y": "u + 1", "q": "y + 1", "k": "q + 17", "r": 9}, "premises": {"r": 9}, "target": "j"}, "answer": {"steps": [["t", "c + 18", "c + 29"], ["c", "i + 7", "i + 36"], ["i", "w + 6", "w + 42"], ["w", "o + 14", "o + 56"], ["o", "r + 8", "r + 64"], ["r", 9, "73"]], "target_var_name": "j", "target_value": 73, "value_dict": {"r": 9}, "is_reverse": true}}
| 4,911
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = q + 17; o = r + 8; l = r + 14; t = c + 18; r = 9; w = o + 14; c = i + 7; y = u + 1; i = w + 6; j = t + 11; q = y + 1; u = m + 4; m = l + 4. If r = 9, determine the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 18 to j, which gives j = c + 29.\n2. Substitute c = i + 7 to j, which gives j = i + 36.\n3. Substitute i = w + 6 to j, which gives j = w + 42.\n4. Substitute w = o + 14 to j, which gives j = o + 56.\n5. Substitute o = r + 8 to j, which gives j = r + 64.\n6. Substitute r = 9 to j, which gives j = 73.\n\nThus, the final answer is j = \\boxed{73}.",
"index": 4911,
"question": "Consider a system of variables where each variable is defined as follows: k = q + 17; o = r + 8; l = r + 14; t = c + 18; r = 9; w = o + 14; c = i + 7; y = u + 1; i = w + 6; j = t + 11; q = y + 1; u = m + 4; m = l + 4. If r = 9, determine the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"h": "d + 3", "e": "h + 2", "n": "e + 7", "j": "n + 14", "a": "j + 8", "t": "a + 6", "v": "d + 17", "r": "v + 2", "m": "r + 9", "f": "m + 6", "b": "f + 7", "g": "b + 6", "d": 7}, "premises": {"d": 7}, "target": "t"}, "answer": {"steps": [["a", "j + 8", "j + 14"], ["j", "n + 14", "n + 28"], ["n", "e + 7", "e + 35"], ["e", "h + 2", "h + 37"], ["h", "d + 3", "d + 40"], ["d", 7, "47"]], "target_var_name": "t", "target_value": 47, "value_dict": {"d": 7}, "is_reverse": true}}
| 4,912
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 7; a = j + 8; e = h + 2; n = e + 7; v = d + 17; f = m + 6; g = b + 6; d = 7; t = a + 6; r = v + 2; h = d + 3; m = r + 9; j = n + 14. Given that d = 7, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 47,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 8 to t, which gives t = j + 14.\n2. Substitute j = n + 14 to t, which gives t = n + 28.\n3. Substitute n = e + 7 to t, which gives t = e + 35.\n4. Substitute e = h + 2 to t, which gives t = h + 37.\n5. Substitute h = d + 3 to t, which gives t = d + 40.\n6. Substitute d = 7 to t, which gives t = 47.\n\nThus, the final answer is t = \\boxed{47}.",
"index": 4912,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 7; a = j + 8; e = h + 2; n = e + 7; v = d + 17; f = m + 6; g = b + 6; d = 7; t = a + 6; r = v + 2; h = d + 3; m = r + 9; j = n + 14. Given that d = 7, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"z": "y + 7", "n": "z + 20", "w": "n + 5", "t": "w + 18", "h": "t + 9", "m": "h + 19", "i": "y + 9", "r": "i + 11", "g": "r + 13", "j": "g + 16", "b": "j + 8", "o": "b + 4", "y": 19}, "premises": {"y": 19}, "target": "m"}, "answer": {"steps": [["h", "t + 9", "t + 28"], ["t", "w + 18", "w + 46"], ["w", "n + 5", "n + 51"], ["n", "z + 20", "z + 71"], ["z", "y + 7", "y + 78"], ["y", 19, "97"]], "target_var_name": "m", "target_value": 97, "value_dict": {"y": 19}, "is_reverse": true}}
| 4,913
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = y + 9; z = y + 7; m = h + 19; o = b + 4; n = z + 20; b = j + 8; j = g + 16; t = w + 18; y = 19; r = i + 11; h = t + 9; g = r + 13; w = n + 5. If y = 19, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 97,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 9 to m, which gives m = t + 28.\n2. Substitute t = w + 18 to m, which gives m = w + 46.\n3. Substitute w = n + 5 to m, which gives m = n + 51.\n4. Substitute n = z + 20 to m, which gives m = z + 71.\n5. Substitute z = y + 7 to m, which gives m = y + 78.\n6. Substitute y = 19 to m, which gives m = 97.\n\nThus, the final answer is m = \\boxed{97}.",
"index": 4913,
"question": "Consider a system of variables where each variable is defined as follows: i = y + 9; z = y + 7; m = h + 19; o = b + 4; n = z + 20; b = j + 8; j = g + 16; t = w + 18; y = 19; r = i + 11; h = t + 9; g = r + 13; w = n + 5. If y = 19, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "g + 8", "x": "f + 6", "m": "x + 11", "h": "m + 14", "y": "h + 6", "e": "y + 17", "p": "g + 3", "t": "p + 10", "a": "t + 14", "j": "a + 4", "v": "j + 20", "l": "v + 20", "g": 19}, "premises": {"g": 19}, "target": "e"}, "answer": {"steps": [["y", "h + 6", "h + 23"], ["h", "m + 14", "m + 37"], ["m", "x + 11", "x + 48"], ["x", "f + 6", "f + 54"], ["f", "g + 8", "g + 62"], ["g", 19, "81"]], "target_var_name": "e", "target_value": 81, "value_dict": {"g": 19}, "is_reverse": true}}
| 4,914
| 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 = g + 3; y = h + 6; x = f + 6; e = y + 17; t = p + 10; a = t + 14; h = m + 14; g = 19; m = x + 11; l = v + 20; j = a + 4; v = j + 20; f = g + 8. If g = 19, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 6 to e, which gives e = h + 23.\n2. Substitute h = m + 14 to e, which gives e = m + 37.\n3. Substitute m = x + 11 to e, which gives e = x + 48.\n4. Substitute x = f + 6 to e, which gives e = f + 54.\n5. Substitute f = g + 8 to e, which gives e = g + 62.\n6. Substitute g = 19 to e, which gives e = 81.\n\nThus, the final answer is e = \\boxed{81}.",
"index": 4914,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 3; y = h + 6; x = f + 6; e = y + 17; t = p + 10; a = t + 14; h = m + 14; g = 19; m = x + 11; l = v + 20; j = a + 4; v = j + 20; f = g + 8. If g = 19, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"b": "p + 17", "z": "b + 12", "k": "z + 4", "w": "k + 10", "y": "w + 10", "t": "y + 4", "s": "p + 12", "j": "s + 19", "x": "j + 7", "n": "x + 18", "e": "n + 10", "c": "e + 15", "p": 2}, "premises": {"p": 2}, "target": "t"}, "answer": {"steps": [["y", "w + 10", "w + 14"], ["w", "k + 10", "k + 24"], ["k", "z + 4", "z + 28"], ["z", "b + 12", "b + 40"], ["b", "p + 17", "p + 57"], ["p", 2, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"p": 2}, "is_reverse": true}}
| 4,915
| 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 = b + 12; b = p + 17; k = z + 4; n = x + 18; j = s + 19; y = w + 10; s = p + 12; t = y + 4; c = e + 15; e = n + 10; w = k + 10; p = 2; x = j + 7. If p = 2, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 10 to t, which gives t = w + 14.\n2. Substitute w = k + 10 to t, which gives t = k + 24.\n3. Substitute k = z + 4 to t, which gives t = z + 28.\n4. Substitute z = b + 12 to t, which gives t = b + 40.\n5. Substitute b = p + 17 to t, which gives t = p + 57.\n6. Substitute p = 2 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 4915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 12; b = p + 17; k = z + 4; n = x + 18; j = s + 19; y = w + 10; s = p + 12; t = y + 4; c = e + 15; e = n + 10; w = k + 10; p = 2; x = j + 7. If p = 2, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"b": "n + 4", "i": "b + 11", "d": "i + 13", "x": "d + 6", "r": "x + 17", "o": "r + 1", "j": "n + 13", "m": "j + 17", "e": "m + 4", "t": "e + 13", "p": "t + 11", "u": "p + 19", "n": 7}, "premises": {"n": 7}, "target": "o"}, "answer": {"steps": [["r", "x + 17", "x + 18"], ["x", "d + 6", "d + 24"], ["d", "i + 13", "i + 37"], ["i", "b + 11", "b + 48"], ["b", "n + 4", "n + 52"], ["n", 7, "59"]], "target_var_name": "o", "target_value": 59, "value_dict": {"n": 7}, "is_reverse": true}}
| 4,916
| 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 = p + 19; i = b + 11; m = j + 17; t = e + 13; o = r + 1; d = i + 13; p = t + 11; b = n + 4; j = n + 13; e = m + 4; r = x + 17; n = 7; x = d + 6. If n = 7, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 17 to o, which gives o = x + 18.\n2. Substitute x = d + 6 to o, which gives o = d + 24.\n3. Substitute d = i + 13 to o, which gives o = i + 37.\n4. Substitute i = b + 11 to o, which gives o = b + 48.\n5. Substitute b = n + 4 to o, which gives o = n + 52.\n6. Substitute n = 7 to o, which gives o = 59.\n\nThus, the final answer is o = \\boxed{59}.",
"index": 4916,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = p + 19; i = b + 11; m = j + 17; t = e + 13; o = r + 1; d = i + 13; p = t + 11; b = n + 4; j = n + 13; e = m + 4; r = x + 17; n = 7; x = d + 6. If n = 7, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"y": "l + 8", "x": "y + 5", "g": "x + 13", "j": "g + 19", "p": "j + 7", "d": "p + 19", "r": "l + 14", "q": "r + 16", "i": "q + 13", "v": "i + 3", "s": "v + 1", "o": "s + 9", "l": 16}, "premises": {"l": 16}, "target": "d"}, "answer": {"steps": [["p", "j + 7", "j + 26"], ["j", "g + 19", "g + 45"], ["g", "x + 13", "x + 58"], ["x", "y + 5", "y + 63"], ["y", "l + 8", "l + 71"], ["l", 16, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"l": 16}, "is_reverse": true}}
| 4,917
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 14; q = r + 16; i = q + 13; p = j + 7; g = x + 13; v = i + 3; s = v + 1; l = 16; x = y + 5; y = l + 8; d = p + 19; j = g + 19; o = s + 9. If l = 16, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 7 to d, which gives d = j + 26.\n2. Substitute j = g + 19 to d, which gives d = g + 45.\n3. Substitute g = x + 13 to d, which gives d = x + 58.\n4. Substitute x = y + 5 to d, which gives d = y + 63.\n5. Substitute y = l + 8 to d, which gives d = l + 71.\n6. Substitute l = 16 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 4917,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 14; q = r + 16; i = q + 13; p = j + 7; g = x + 13; v = i + 3; s = v + 1; l = 16; x = y + 5; y = l + 8; d = p + 19; j = g + 19; o = s + 9. If l = 16, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"u": "v + 14", "c": "u + 17", "h": "c + 15", "b": "h + 11", "f": "b + 3", "y": "f + 3", "z": "v + 2", "w": "z + 12", "d": "w + 10", "m": "d + 20", "n": "m + 12", "x": "n + 13", "v": 5}, "premises": {"v": 5}, "target": "y"}, "answer": {"steps": [["f", "b + 3", "b + 6"], ["b", "h + 11", "h + 17"], ["h", "c + 15", "c + 32"], ["c", "u + 17", "u + 49"], ["u", "v + 14", "v + 63"], ["v", 5, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"v": 5}, "is_reverse": true}}
| 4,918
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = v + 2; u = v + 14; b = h + 11; d = w + 10; n = m + 12; w = z + 12; x = n + 13; y = f + 3; c = u + 17; f = b + 3; m = d + 20; h = c + 15; v = 5. Given that v = 5, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 3 to y, which gives y = b + 6.\n2. Substitute b = h + 11 to y, which gives y = h + 17.\n3. Substitute h = c + 15 to y, which gives y = c + 32.\n4. Substitute c = u + 17 to y, which gives y = u + 49.\n5. Substitute u = v + 14 to y, which gives y = v + 63.\n6. Substitute v = 5 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 4918,
"question": "Suppose a collection of variables is related by the following definitions: z = v + 2; u = v + 14; b = h + 11; d = w + 10; n = m + 12; w = z + 12; x = n + 13; y = f + 3; c = u + 17; f = b + 3; m = d + 20; h = c + 15; v = 5. Given that v = 5, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 4", "q": "x + 12", "y": "q + 16", "g": "y + 14", "k": "g + 12", "t": "k + 13", "f": "s + 4", "r": "f + 2", "a": "r + 6", "h": "a + 19", "b": "h + 14", "n": "b + 11", "s": 4}, "premises": {"s": 4}, "target": "t"}, "answer": {"steps": [["k", "g + 12", "g + 25"], ["g", "y + 14", "y + 39"], ["y", "q + 16", "q + 55"], ["q", "x + 12", "x + 67"], ["x", "s + 4", "s + 71"], ["s", 4, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"s": 4}, "is_reverse": true}}
| 4,919
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = h + 14; k = g + 12; t = k + 13; g = y + 14; f = s + 4; x = s + 4; n = b + 11; h = a + 19; y = q + 16; a = r + 6; q = x + 12; r = f + 2; s = 4. Given that s = 4, find 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 k = g + 12 to t, which gives t = g + 25.\n2. Substitute g = y + 14 to t, which gives t = y + 39.\n3. Substitute y = q + 16 to t, which gives t = q + 55.\n4. Substitute q = x + 12 to t, which gives t = x + 67.\n5. Substitute x = s + 4 to t, which gives t = s + 71.\n6. Substitute s = 4 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 4919,
"question": "Suppose a collection of variables is related by the following definitions: b = h + 14; k = g + 12; t = k + 13; g = y + 14; f = s + 4; x = s + 4; n = b + 11; h = a + 19; y = q + 16; a = r + 6; q = x + 12; r = f + 2; s = 4. Given that s = 4, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"x": "r + 17", "b": "x + 19", "k": "b + 6", "o": "k + 3", "u": "o + 6", "s": "u + 18", "d": "r + 9", "p": "d + 3", "y": "p + 9", "a": "y + 11", "j": "a + 13", "g": "j + 16", "r": 13}, "premises": {"r": 13}, "target": "s"}, "answer": {"steps": [["u", "o + 6", "o + 24"], ["o", "k + 3", "k + 27"], ["k", "b + 6", "b + 33"], ["b", "x + 19", "x + 52"], ["x", "r + 17", "r + 69"], ["r", 13, "82"]], "target_var_name": "s", "target_value": 82, "value_dict": {"r": 13}, "is_reverse": true}}
| 4,920
| 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 = b + 6; p = d + 3; g = j + 16; y = p + 9; u = o + 6; r = 13; o = k + 3; x = r + 17; d = r + 9; j = a + 13; b = x + 19; a = y + 11; s = u + 18. If r = 13, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = o + 6 to s, which gives s = o + 24.\n2. Substitute o = k + 3 to s, which gives s = k + 27.\n3. Substitute k = b + 6 to s, which gives s = b + 33.\n4. Substitute b = x + 19 to s, which gives s = x + 52.\n5. Substitute x = r + 17 to s, which gives s = r + 69.\n6. Substitute r = 13 to s, which gives s = 82.\n\nThus, the final answer is s = \\boxed{82}.",
"index": 4920,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 6; p = d + 3; g = j + 16; y = p + 9; u = o + 6; r = 13; o = k + 3; x = r + 17; d = r + 9; j = a + 13; b = x + 19; a = y + 11; s = u + 18. If r = 13, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"c": "g + 15", "u": "c + 16", "n": "u + 5", "e": "n + 13", "t": "e + 3", "m": "t + 7", "f": "g + 20", "j": "f + 20", "k": "j + 20", "v": "k + 1", "x": "v + 13", "p": "x + 6", "g": 19}, "premises": {"g": 19}, "target": "m"}, "answer": {"steps": [["t", "e + 3", "e + 10"], ["e", "n + 13", "n + 23"], ["n", "u + 5", "u + 28"], ["u", "c + 16", "c + 44"], ["c", "g + 15", "g + 59"], ["g", 19, "78"]], "target_var_name": "m", "target_value": 78, "value_dict": {"g": 19}, "is_reverse": true}}
| 4,921
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = 19; c = g + 15; j = f + 20; m = t + 7; n = u + 5; p = x + 6; u = c + 16; e = n + 13; t = e + 3; x = v + 13; k = j + 20; v = k + 1; f = g + 20. Given that g = 19, find 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 t = e + 3 to m, which gives m = e + 10.\n2. Substitute e = n + 13 to m, which gives m = n + 23.\n3. Substitute n = u + 5 to m, which gives m = u + 28.\n4. Substitute u = c + 16 to m, which gives m = c + 44.\n5. Substitute c = g + 15 to m, which gives m = g + 59.\n6. Substitute g = 19 to m, which gives m = 78.\n\nThus, the final answer is m = \\boxed{78}.",
"index": 4921,
"question": "Suppose a collection of variables is related by the following definitions: g = 19; c = g + 15; j = f + 20; m = t + 7; n = u + 5; p = x + 6; u = c + 16; e = n + 13; t = e + 3; x = v + 13; k = j + 20; v = k + 1; f = g + 20. Given that g = 19, find the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 17", "i": "o + 18", "w": "i + 18", "n": "w + 16", "c": "n + 5", "d": "c + 20", "j": "k + 7", "p": "j + 17", "r": "p + 12", "l": "r + 18", "a": "l + 9", "y": "a + 3", "k": 18}, "premises": {"k": 18}, "target": "d"}, "answer": {"steps": [["c", "n + 5", "n + 25"], ["n", "w + 16", "w + 41"], ["w", "i + 18", "i + 59"], ["i", "o + 18", "o + 77"], ["o", "k + 17", "k + 94"], ["k", 18, "112"]], "target_var_name": "d", "target_value": 112, "value_dict": {"k": 18}, "is_reverse": true}}
| 4,922
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 9; n = w + 16; i = o + 18; l = r + 18; o = k + 17; c = n + 5; d = c + 20; k = 18; w = i + 18; y = a + 3; r = p + 12; p = j + 17; j = k + 7. Given that k = 18, find the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 112,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 5 to d, which gives d = n + 25.\n2. Substitute n = w + 16 to d, which gives d = w + 41.\n3. Substitute w = i + 18 to d, which gives d = i + 59.\n4. Substitute i = o + 18 to d, which gives d = o + 77.\n5. Substitute o = k + 17 to d, which gives d = k + 94.\n6. Substitute k = 18 to d, which gives d = 112.\n\nThus, the final answer is d = \\boxed{112}.",
"index": 4922,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 9; n = w + 16; i = o + 18; l = r + 18; o = k + 17; c = n + 5; d = c + 20; k = 18; w = i + 18; y = a + 3; r = p + 12; p = j + 17; j = k + 7. Given that k = 18, find the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"p": "f + 11", "q": "p + 14", "e": "q + 14", "k": "e + 2", "u": "k + 10", "m": "u + 2", "t": "f + 3", "y": "t + 1", "b": "y + 5", "a": "b + 3", "d": "a + 2", "x": "d + 12", "f": 7}, "premises": {"f": 7}, "target": "m"}, "answer": {"steps": [["u", "k + 10", "k + 12"], ["k", "e + 2", "e + 14"], ["e", "q + 14", "q + 28"], ["q", "p + 14", "p + 42"], ["p", "f + 11", "f + 53"], ["f", 7, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"f": 7}, "is_reverse": true}}
| 4,923
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = d + 12; f = 7; k = e + 2; e = q + 14; d = a + 2; p = f + 11; t = f + 3; u = k + 10; q = p + 14; a = b + 3; b = y + 5; m = u + 2; y = t + 1. If f = 7, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 10 to m, which gives m = k + 12.\n2. Substitute k = e + 2 to m, which gives m = e + 14.\n3. Substitute e = q + 14 to m, which gives m = q + 28.\n4. Substitute q = p + 14 to m, which gives m = p + 42.\n5. Substitute p = f + 11 to m, which gives m = f + 53.\n6. Substitute f = 7 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 4923,
"question": "Consider a system of variables where each variable is defined as follows: x = d + 12; f = 7; k = e + 2; e = q + 14; d = a + 2; p = f + 11; t = f + 3; u = k + 10; q = p + 14; a = b + 3; b = y + 5; m = u + 2; y = t + 1. If f = 7, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"b": "m + 14", "j": "b + 7", "n": "j + 17", "r": "n + 13", "t": "r + 4", "s": "t + 2", "v": "m + 19", "h": "v + 8", "k": "h + 7", "y": "k + 4", "z": "y + 15", "f": "z + 7", "m": 6}, "premises": {"m": 6}, "target": "s"}, "answer": {"steps": [["t", "r + 4", "r + 6"], ["r", "n + 13", "n + 19"], ["n", "j + 17", "j + 36"], ["j", "b + 7", "b + 43"], ["b", "m + 14", "m + 57"], ["m", 6, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"m": 6}, "is_reverse": true}}
| 4,924
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 4; b = m + 14; v = m + 19; y = k + 4; m = 6; j = b + 7; f = z + 7; n = j + 17; z = y + 15; h = v + 8; k = h + 7; r = n + 13; s = t + 2. If m = 6, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 4 to s, which gives s = r + 6.\n2. Substitute r = n + 13 to s, which gives s = n + 19.\n3. Substitute n = j + 17 to s, which gives s = j + 36.\n4. Substitute j = b + 7 to s, which gives s = b + 43.\n5. Substitute b = m + 14 to s, which gives s = m + 57.\n6. Substitute m = 6 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 4924,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 4; b = m + 14; v = m + 19; y = k + 4; m = 6; j = b + 7; f = z + 7; n = j + 17; z = y + 15; h = v + 8; k = h + 7; r = n + 13; s = t + 2. If m = 6, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 14", "r": "n + 20", "z": "r + 14", "y": "z + 13", "p": "y + 14", "o": "p + 19", "s": "t + 6", "x": "s + 1", "v": "x + 10", "g": "v + 16", "j": "g + 12", "a": "j + 4", "t": 1}, "premises": {"t": 1}, "target": "o"}, "answer": {"steps": [["p", "y + 14", "y + 33"], ["y", "z + 13", "z + 46"], ["z", "r + 14", "r + 60"], ["r", "n + 20", "n + 80"], ["n", "t + 14", "t + 94"], ["t", 1, "95"]], "target_var_name": "o", "target_value": 95, "value_dict": {"t": 1}, "is_reverse": true}}
| 4,925
| 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 = y + 14; v = x + 10; j = g + 12; z = r + 14; s = t + 6; o = p + 19; a = j + 4; y = z + 13; t = 1; n = t + 14; r = n + 20; x = s + 1; g = v + 16. If t = 1, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 14 to o, which gives o = y + 33.\n2. Substitute y = z + 13 to o, which gives o = z + 46.\n3. Substitute z = r + 14 to o, which gives o = r + 60.\n4. Substitute r = n + 20 to o, which gives o = n + 80.\n5. Substitute n = t + 14 to o, which gives o = t + 94.\n6. Substitute t = 1 to o, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 4925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = y + 14; v = x + 10; j = g + 12; z = r + 14; s = t + 6; o = p + 19; a = j + 4; y = z + 13; t = 1; n = t + 14; r = n + 20; x = s + 1; g = v + 16. If t = 1, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 13", "q": "r + 20", "k": "q + 7", "p": "k + 18", "y": "p + 2", "b": "y + 7", "g": "n + 5", "f": "g + 4", "u": "f + 4", "c": "u + 16", "a": "c + 1", "w": "a + 2", "n": 5}, "premises": {"n": 5}, "target": "b"}, "answer": {"steps": [["y", "p + 2", "p + 9"], ["p", "k + 18", "k + 27"], ["k", "q + 7", "q + 34"], ["q", "r + 20", "r + 54"], ["r", "n + 13", "n + 67"], ["n", 5, "72"]], "target_var_name": "b", "target_value": 72, "value_dict": {"n": 5}, "is_reverse": true}}
| 4,926
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = r + 20; b = y + 7; k = q + 7; u = f + 4; r = n + 13; f = g + 4; n = 5; y = p + 2; c = u + 16; w = a + 2; a = c + 1; p = k + 18; g = n + 5. If n = 5, determine the 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 y = p + 2 to b, which gives b = p + 9.\n2. Substitute p = k + 18 to b, which gives b = k + 27.\n3. Substitute k = q + 7 to b, which gives b = q + 34.\n4. Substitute q = r + 20 to b, which gives b = r + 54.\n5. Substitute r = n + 13 to b, which gives b = n + 67.\n6. Substitute n = 5 to b, which gives b = 72.\n\nThus, the final answer is b = \\boxed{72}.",
"index": 4926,
"question": "Consider a system of variables where each variable is defined as follows: q = r + 20; b = y + 7; k = q + 7; u = f + 4; r = n + 13; f = g + 4; n = 5; y = p + 2; c = u + 16; w = a + 2; a = c + 1; p = k + 18; g = n + 5. If n = 5, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "o + 6", "c": "a + 2", "u": "c + 7", "w": "u + 11", "q": "w + 15", "t": "q + 11", "h": "o + 11", "l": "h + 16", "e": "l + 15", "d": "e + 20", "x": "d + 16", "m": "x + 14", "o": 17}, "premises": {"o": 17}, "target": "t"}, "answer": {"steps": [["q", "w + 15", "w + 26"], ["w", "u + 11", "u + 37"], ["u", "c + 7", "c + 44"], ["c", "a + 2", "a + 46"], ["a", "o + 6", "o + 52"], ["o", 17, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"o": 17}, "is_reverse": true}}
| 4,927
| 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 = c + 7; d = e + 20; l = h + 16; a = o + 6; m = x + 14; x = d + 16; c = a + 2; h = o + 11; q = w + 15; w = u + 11; e = l + 15; o = 17; t = q + 11. If o = 17, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = w + 15 to t, which gives t = w + 26.\n2. Substitute w = u + 11 to t, which gives t = u + 37.\n3. Substitute u = c + 7 to t, which gives t = c + 44.\n4. Substitute c = a + 2 to t, which gives t = a + 46.\n5. Substitute a = o + 6 to t, which gives t = o + 52.\n6. Substitute o = 17 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 4927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = c + 7; d = e + 20; l = h + 16; a = o + 6; m = x + 14; x = d + 16; c = a + 2; h = o + 11; q = w + 15; w = u + 11; e = l + 15; o = 17; t = q + 11. If o = 17, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"g": "a + 17", "s": "g + 1", "m": "s + 11", "y": "m + 2", "j": "y + 14", "x": "j + 15", "t": "a + 12", "w": "t + 11", "v": "w + 16", "e": "v + 6", "u": "e + 3", "z": "u + 16", "a": 18}, "premises": {"a": 18}, "target": "x"}, "answer": {"steps": [["j", "y + 14", "y + 29"], ["y", "m + 2", "m + 31"], ["m", "s + 11", "s + 42"], ["s", "g + 1", "g + 43"], ["g", "a + 17", "a + 60"], ["a", 18, "78"]], "target_var_name": "x", "target_value": 78, "value_dict": {"a": 18}, "is_reverse": true}}
| 4,928
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 11; y = m + 2; t = a + 12; a = 18; z = u + 16; m = s + 11; u = e + 3; e = v + 6; s = g + 1; x = j + 15; g = a + 17; v = w + 16; j = y + 14. Given that a = 18, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = y + 14 to x, which gives x = y + 29.\n2. Substitute y = m + 2 to x, which gives x = m + 31.\n3. Substitute m = s + 11 to x, which gives x = s + 42.\n4. Substitute s = g + 1 to x, which gives x = g + 43.\n5. Substitute g = a + 17 to x, which gives x = a + 60.\n6. Substitute a = 18 to x, which gives x = 78.\n\nThus, the final answer is x = \\boxed{78}.",
"index": 4928,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 11; y = m + 2; t = a + 12; a = 18; z = u + 16; m = s + 11; u = e + 3; e = v + 6; s = g + 1; x = j + 15; g = a + 17; v = w + 16; j = y + 14. Given that a = 18, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"c": "d + 7", "t": "c + 3", "v": "t + 8", "e": "v + 13", "l": "e + 1", "u": "l + 3", "q": "d + 1", "z": "q + 12", "o": "z + 6", "k": "o + 17", "g": "k + 3", "j": "g + 18", "d": 16}, "premises": {"d": 16}, "target": "u"}, "answer": {"steps": [["l", "e + 1", "e + 4"], ["e", "v + 13", "v + 17"], ["v", "t + 8", "t + 25"], ["t", "c + 3", "c + 28"], ["c", "d + 7", "d + 35"], ["d", 16, "51"]], "target_var_name": "u", "target_value": 51, "value_dict": {"d": 16}, "is_reverse": true}}
| 4,929
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = z + 6; g = k + 3; t = c + 3; e = v + 13; j = g + 18; v = t + 8; u = l + 3; q = d + 1; z = q + 12; k = o + 17; l = e + 1; c = d + 7; d = 16. If d = 16, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 1 to u, which gives u = e + 4.\n2. Substitute e = v + 13 to u, which gives u = v + 17.\n3. Substitute v = t + 8 to u, which gives u = t + 25.\n4. Substitute t = c + 3 to u, which gives u = c + 28.\n5. Substitute c = d + 7 to u, which gives u = d + 35.\n6. Substitute d = 16 to u, which gives u = 51.\n\nThus, the final answer is u = \\boxed{51}.",
"index": 4929,
"question": "Consider a system of variables where each variable is defined as follows: o = z + 6; g = k + 3; t = c + 3; e = v + 13; j = g + 18; v = t + 8; u = l + 3; q = d + 1; z = q + 12; k = o + 17; l = e + 1; c = d + 7; d = 16. If d = 16, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"h": "q + 4", "f": "h + 18", "u": "f + 20", "a": "u + 9", "z": "a + 5", "l": "z + 12", "n": "q + 12", "x": "n + 15", "e": "x + 11", "v": "e + 2", "d": "v + 20", "b": "d + 4", "q": 19}, "premises": {"q": 19}, "target": "l"}, "answer": {"steps": [["z", "a + 5", "a + 17"], ["a", "u + 9", "u + 26"], ["u", "f + 20", "f + 46"], ["f", "h + 18", "h + 64"], ["h", "q + 4", "q + 68"], ["q", 19, "87"]], "target_var_name": "l", "target_value": 87, "value_dict": {"q": 19}, "is_reverse": true}}
| 4,930
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: z = a + 5; b = d + 4; f = h + 18; l = z + 12; q = 19; a = u + 9; u = f + 20; e = x + 11; n = q + 12; h = q + 4; d = v + 20; x = n + 15; v = e + 2. If q = 19, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = a + 5 to l, which gives l = a + 17.\n2. Substitute a = u + 9 to l, which gives l = u + 26.\n3. Substitute u = f + 20 to l, which gives l = f + 46.\n4. Substitute f = h + 18 to l, which gives l = h + 64.\n5. Substitute h = q + 4 to l, which gives l = q + 68.\n6. Substitute q = 19 to l, which gives l = 87.\n\nThus, the final answer is l = \\boxed{87}.",
"index": 4930,
"question": "Consider a system of variables where each variable is defined as follows: z = a + 5; b = d + 4; f = h + 18; l = z + 12; q = 19; a = u + 9; u = f + 20; e = x + 11; n = q + 12; h = q + 4; d = v + 20; x = n + 15; v = e + 2. If q = 19, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"u": "y + 20", "c": "u + 16", "t": "c + 20", "e": "t + 12", "q": "e + 14", "v": "q + 4", "w": "y + 18", "l": "w + 10", "p": "l + 9", "z": "p + 10", "x": "z + 16", "m": "x + 1", "y": 12}, "premises": {"y": 12}, "target": "v"}, "answer": {"steps": [["q", "e + 14", "e + 18"], ["e", "t + 12", "t + 30"], ["t", "c + 20", "c + 50"], ["c", "u + 16", "u + 66"], ["u", "y + 20", "y + 86"], ["y", 12, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"y": 12}, "is_reverse": true}}
| 4,931
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 10; x = z + 16; v = q + 4; e = t + 12; z = p + 10; c = u + 16; t = c + 20; p = l + 9; m = x + 1; y = 12; q = e + 14; u = y + 20; w = y + 18. If y = 12, determine the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 14 to v, which gives v = e + 18.\n2. Substitute e = t + 12 to v, which gives v = t + 30.\n3. Substitute t = c + 20 to v, which gives v = c + 50.\n4. Substitute c = u + 16 to v, which gives v = u + 66.\n5. Substitute u = y + 20 to v, which gives v = y + 86.\n6. Substitute y = 12 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 4931,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 10; x = z + 16; v = q + 4; e = t + 12; z = p + 10; c = u + 16; t = c + 20; p = l + 9; m = x + 1; y = 12; q = e + 14; u = y + 20; w = y + 18. If y = 12, determine the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 16", "t": "c + 17", "s": "t + 17", "u": "s + 2", "a": "u + 20", "v": "a + 17", "o": "h + 5", "q": "o + 12", "y": "q + 7", "x": "y + 11", "w": "x + 20", "j": "w + 19", "h": 20}, "premises": {"h": 20}, "target": "v"}, "answer": {"steps": [["a", "u + 20", "u + 37"], ["u", "s + 2", "s + 39"], ["s", "t + 17", "t + 56"], ["t", "c + 17", "c + 73"], ["c", "h + 16", "h + 89"], ["h", 20, "109"]], "target_var_name": "v", "target_value": 109, "value_dict": {"h": 20}, "is_reverse": true}}
| 4,932
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = h + 5; a = u + 20; c = h + 16; q = o + 12; s = t + 17; y = q + 7; v = a + 17; x = y + 11; j = w + 19; h = 20; t = c + 17; w = x + 20; u = s + 2. Given that h = 20, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 20 to v, which gives v = u + 37.\n2. Substitute u = s + 2 to v, which gives v = s + 39.\n3. Substitute s = t + 17 to v, which gives v = t + 56.\n4. Substitute t = c + 17 to v, which gives v = c + 73.\n5. Substitute c = h + 16 to v, which gives v = h + 89.\n6. Substitute h = 20 to v, which gives v = 109.\n\nThus, the final answer is v = \\boxed{109}.",
"index": 4932,
"question": "Suppose a collection of variables is related by the following definitions: o = h + 5; a = u + 20; c = h + 16; q = o + 12; s = t + 17; y = q + 7; v = a + 17; x = y + 11; j = w + 19; h = 20; t = c + 17; w = x + 20; u = s + 2. Given that h = 20, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"r": "o + 5", "i": "r + 1", "d": "i + 16", "k": "d + 11", "n": "k + 4", "z": "n + 17", "y": "o + 20", "e": "y + 2", "j": "e + 7", "s": "j + 15", "u": "s + 7", "t": "u + 2", "o": 11}, "premises": {"o": 11}, "target": "z"}, "answer": {"steps": [["n", "k + 4", "k + 21"], ["k", "d + 11", "d + 32"], ["d", "i + 16", "i + 48"], ["i", "r + 1", "r + 49"], ["r", "o + 5", "o + 54"], ["o", 11, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"o": 11}, "is_reverse": true}}
| 4,933
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: e = y + 2; k = d + 11; y = o + 20; u = s + 7; t = u + 2; z = n + 17; i = r + 1; d = i + 16; r = o + 5; j = e + 7; o = 11; n = k + 4; s = j + 15. Given that o = 11, find the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 4 to z, which gives z = k + 21.\n2. Substitute k = d + 11 to z, which gives z = d + 32.\n3. Substitute d = i + 16 to z, which gives z = i + 48.\n4. Substitute i = r + 1 to z, which gives z = r + 49.\n5. Substitute r = o + 5 to z, which gives z = o + 54.\n6. Substitute o = 11 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 4933,
"question": "Suppose a collection of variables is related by the following definitions: e = y + 2; k = d + 11; y = o + 20; u = s + 7; t = u + 2; z = n + 17; i = r + 1; d = i + 16; r = o + 5; j = e + 7; o = 11; n = k + 4; s = j + 15. Given that o = 11, find the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 12", "r": "o + 18", "g": "r + 9", "z": "g + 14", "p": "z + 3", "t": "p + 4", "b": "q + 1", "x": "b + 19", "u": "x + 12", "n": "u + 17", "s": "n + 1", "i": "s + 5", "q": 8}, "premises": {"q": 8}, "target": "t"}, "answer": {"steps": [["p", "z + 3", "z + 7"], ["z", "g + 14", "g + 21"], ["g", "r + 9", "r + 30"], ["r", "o + 18", "o + 48"], ["o", "q + 12", "q + 60"], ["q", 8, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"q": 8}, "is_reverse": true}}
| 4,934
| 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 = q + 1; t = p + 4; o = q + 12; r = o + 18; u = x + 12; p = z + 3; q = 8; n = u + 17; z = g + 14; x = b + 19; i = s + 5; s = n + 1; g = r + 9. If q = 8, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = z + 3 to t, which gives t = z + 7.\n2. Substitute z = g + 14 to t, which gives t = g + 21.\n3. Substitute g = r + 9 to t, which gives t = r + 30.\n4. Substitute r = o + 18 to t, which gives t = o + 48.\n5. Substitute o = q + 12 to t, which gives t = q + 60.\n6. Substitute q = 8 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 4934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = q + 1; t = p + 4; o = q + 12; r = o + 18; u = x + 12; p = z + 3; q = 8; n = u + 17; z = g + 14; x = b + 19; i = s + 5; s = n + 1; g = r + 9. If q = 8, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"q": "h + 10", "b": "q + 19", "u": "b + 15", "l": "u + 13", "m": "l + 8", "k": "m + 17", "g": "h + 17", "n": "g + 17", "s": "n + 3", "t": "s + 4", "e": "t + 5", "p": "e + 11", "h": 19}, "premises": {"h": 19}, "target": "k"}, "answer": {"steps": [["m", "l + 8", "l + 25"], ["l", "u + 13", "u + 38"], ["u", "b + 15", "b + 53"], ["b", "q + 19", "q + 72"], ["q", "h + 10", "h + 82"], ["h", 19, "101"]], "target_var_name": "k", "target_value": 101, "value_dict": {"h": 19}, "is_reverse": true}}
| 4,935
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = g + 17; m = l + 8; q = h + 10; h = 19; s = n + 3; p = e + 11; k = m + 17; b = q + 19; u = b + 15; t = s + 4; e = t + 5; l = u + 13; g = h + 17. If h = 19, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 8 to k, which gives k = l + 25.\n2. Substitute l = u + 13 to k, which gives k = u + 38.\n3. Substitute u = b + 15 to k, which gives k = b + 53.\n4. Substitute b = q + 19 to k, which gives k = q + 72.\n5. Substitute q = h + 10 to k, which gives k = h + 82.\n6. Substitute h = 19 to k, which gives k = 101.\n\nThus, the final answer is k = \\boxed{101}.",
"index": 4935,
"question": "Consider a system of variables where each variable is defined as follows: n = g + 17; m = l + 8; q = h + 10; h = 19; s = n + 3; p = e + 11; k = m + 17; b = q + 19; u = b + 15; t = s + 4; e = t + 5; l = u + 13; g = h + 17. If h = 19, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"p": "q + 11", "g": "p + 16", "o": "g + 8", "e": "o + 16", "y": "e + 5", "n": "y + 20", "s": "q + 14", "t": "s + 10", "l": "t + 5", "k": "l + 12", "a": "k + 10", "d": "a + 12", "q": 2}, "premises": {"q": 2}, "target": "n"}, "answer": {"steps": [["y", "e + 5", "e + 25"], ["e", "o + 16", "o + 41"], ["o", "g + 8", "g + 49"], ["g", "p + 16", "p + 65"], ["p", "q + 11", "q + 76"], ["q", 2, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"q": 2}, "is_reverse": true}}
| 4,936
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = t + 5; t = s + 10; p = q + 11; g = p + 16; d = a + 12; s = q + 14; q = 2; a = k + 10; n = y + 20; o = g + 8; y = e + 5; e = o + 16; k = l + 12. Given that q = 2, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 5 to n, which gives n = e + 25.\n2. Substitute e = o + 16 to n, which gives n = o + 41.\n3. Substitute o = g + 8 to n, which gives n = g + 49.\n4. Substitute g = p + 16 to n, which gives n = p + 65.\n5. Substitute p = q + 11 to n, which gives n = q + 76.\n6. Substitute q = 2 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 4936,
"question": "Suppose a collection of variables is related by the following definitions: l = t + 5; t = s + 10; p = q + 11; g = p + 16; d = a + 12; s = q + 14; q = 2; a = k + 10; n = y + 20; o = g + 8; y = e + 5; e = o + 16; k = l + 12. Given that q = 2, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"p": "l + 9", "b": "p + 20", "v": "b + 20", "s": "v + 9", "c": "s + 5", "y": "c + 5", "d": "l + 17", "w": "d + 18", "q": "w + 6", "a": "q + 20", "x": "a + 4", "o": "x + 5", "l": 3}, "premises": {"l": 3}, "target": "y"}, "answer": {"steps": [["c", "s + 5", "s + 10"], ["s", "v + 9", "v + 19"], ["v", "b + 20", "b + 39"], ["b", "p + 20", "p + 59"], ["p", "l + 9", "l + 68"], ["l", 3, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"l": 3}, "is_reverse": true}}
| 4,937
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 20; x = a + 4; s = v + 9; a = q + 20; o = x + 5; p = l + 9; b = p + 20; q = w + 6; y = c + 5; w = d + 18; l = 3; c = s + 5; d = l + 17. If l = 3, what is the resulting value of y?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 5 to y, which gives y = s + 10.\n2. Substitute s = v + 9 to y, which gives y = v + 19.\n3. Substitute v = b + 20 to y, which gives y = b + 39.\n4. Substitute b = p + 20 to y, which gives y = p + 59.\n5. Substitute p = l + 9 to y, which gives y = l + 68.\n6. Substitute l = 3 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 4937,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = b + 20; x = a + 4; s = v + 9; a = q + 20; o = x + 5; p = l + 9; b = p + 20; q = w + 6; y = c + 5; w = d + 18; l = 3; c = s + 5; d = l + 17. If l = 3, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 4", "n": "y + 18", "f": "n + 1", "l": "f + 13", "b": "l + 1", "v": "b + 8", "z": "t + 3", "e": "z + 9", "g": "e + 15", "c": "g + 14", "a": "c + 14", "x": "a + 19", "t": 6}, "premises": {"t": 6}, "target": "v"}, "answer": {"steps": [["b", "l + 1", "l + 9"], ["l", "f + 13", "f + 22"], ["f", "n + 1", "n + 23"], ["n", "y + 18", "y + 41"], ["y", "t + 4", "t + 45"], ["t", 6, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"t": 6}, "is_reverse": true}}
| 4,938
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = c + 14; y = t + 4; t = 6; f = n + 1; e = z + 9; b = l + 1; z = t + 3; l = f + 13; x = a + 19; v = b + 8; n = y + 18; g = e + 15; c = g + 14. Given that t = 6, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 51,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 1 to v, which gives v = l + 9.\n2. Substitute l = f + 13 to v, which gives v = f + 22.\n3. Substitute f = n + 1 to v, which gives v = n + 23.\n4. Substitute n = y + 18 to v, which gives v = y + 41.\n5. Substitute y = t + 4 to v, which gives v = t + 45.\n6. Substitute t = 6 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 4938,
"question": "Suppose a collection of variables is related by the following definitions: a = c + 14; y = t + 4; t = 6; f = n + 1; e = z + 9; b = l + 1; z = t + 3; l = f + 13; x = a + 19; v = b + 8; n = y + 18; g = e + 15; c = g + 14. Given that t = 6, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 7", "e": "w + 13", "j": "e + 9", "p": "j + 1", "f": "p + 13", "c": "f + 16", "m": "a + 14", "o": "m + 11", "t": "o + 7", "s": "t + 6", "r": "s + 13", "v": "r + 17", "a": 10}, "premises": {"a": 10}, "target": "c"}, "answer": {"steps": [["f", "p + 13", "p + 29"], ["p", "j + 1", "j + 30"], ["j", "e + 9", "e + 39"], ["e", "w + 13", "w + 52"], ["w", "a + 7", "a + 59"], ["a", 10, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"a": 10}, "is_reverse": true}}
| 4,939
| 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 = w + 13; s = t + 6; o = m + 11; m = a + 14; w = a + 7; j = e + 9; p = j + 1; a = 10; f = p + 13; v = r + 17; c = f + 16; r = s + 13; t = o + 7. If a = 10, 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 f = p + 13 to c, which gives c = p + 29.\n2. Substitute p = j + 1 to c, which gives c = j + 30.\n3. Substitute j = e + 9 to c, which gives c = e + 39.\n4. Substitute e = w + 13 to c, which gives c = w + 52.\n5. Substitute w = a + 7 to c, which gives c = a + 59.\n6. Substitute a = 10 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 4939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 13; s = t + 6; o = m + 11; m = a + 14; w = a + 7; j = e + 9; p = j + 1; a = 10; f = p + 13; v = r + 17; c = f + 16; r = s + 13; t = o + 7. If a = 10, what is the resulting value of c?",
"split": "train"
}
|
{"problem": {"rules": {"w": "z + 13", "c": "w + 10", "q": "c + 6", "r": "q + 17", "e": "r + 14", "g": "e + 4", "j": "z + 2", "p": "j + 13", "u": "p + 16", "d": "u + 13", "v": "d + 14", "h": "v + 11", "z": 16}, "premises": {"z": 16}, "target": "g"}, "answer": {"steps": [["e", "r + 14", "r + 18"], ["r", "q + 17", "q + 35"], ["q", "c + 6", "c + 41"], ["c", "w + 10", "w + 51"], ["w", "z + 13", "z + 64"], ["z", 16, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"z": 16}, "is_reverse": true}}
| 4,940
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = p + 16; q = c + 6; c = w + 10; g = e + 4; p = j + 13; r = q + 17; z = 16; w = z + 13; d = u + 13; v = d + 14; h = v + 11; e = r + 14; j = z + 2. Given that z = 16, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 14 to g, which gives g = r + 18.\n2. Substitute r = q + 17 to g, which gives g = q + 35.\n3. Substitute q = c + 6 to g, which gives g = c + 41.\n4. Substitute c = w + 10 to g, which gives g = w + 51.\n5. Substitute w = z + 13 to g, which gives g = z + 64.\n6. Substitute z = 16 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 4940,
"question": "Suppose a collection of variables is related by the following definitions: u = p + 16; q = c + 6; c = w + 10; g = e + 4; p = j + 13; r = q + 17; z = 16; w = z + 13; d = u + 13; v = d + 14; h = v + 11; e = r + 14; j = z + 2. Given that z = 16, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"q": "a + 10", "u": "q + 8", "j": "u + 12", "e": "j + 10", "l": "e + 16", "f": "l + 2", "z": "a + 19", "d": "z + 15", "b": "d + 7", "k": "b + 4", "h": "k + 8", "v": "h + 5", "a": 19}, "premises": {"a": 19}, "target": "f"}, "answer": {"steps": [["l", "e + 16", "e + 18"], ["e", "j + 10", "j + 28"], ["j", "u + 12", "u + 40"], ["u", "q + 8", "q + 48"], ["q", "a + 10", "a + 58"], ["a", 19, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"a": 19}, "is_reverse": true}}
| 4,941
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = d + 7; e = j + 10; h = k + 8; l = e + 16; j = u + 12; v = h + 5; q = a + 10; z = a + 19; d = z + 15; k = b + 4; a = 19; u = q + 8; f = l + 2. If a = 19, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 16 to f, which gives f = e + 18.\n2. Substitute e = j + 10 to f, which gives f = j + 28.\n3. Substitute j = u + 12 to f, which gives f = u + 40.\n4. Substitute u = q + 8 to f, which gives f = q + 48.\n5. Substitute q = a + 10 to f, which gives f = a + 58.\n6. Substitute a = 19 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 4941,
"question": "Consider a system of variables where each variable is defined as follows: b = d + 7; e = j + 10; h = k + 8; l = e + 16; j = u + 12; v = h + 5; q = a + 10; z = a + 19; d = z + 15; k = b + 4; a = 19; u = q + 8; f = l + 2. If a = 19, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"s": "z + 16", "m": "s + 13", "u": "m + 19", "n": "u + 13", "q": "n + 6", "r": "q + 4", "f": "z + 18", "h": "f + 16", "k": "h + 1", "c": "k + 11", "l": "c + 17", "o": "l + 12", "z": 11}, "premises": {"z": 11}, "target": "r"}, "answer": {"steps": [["q", "n + 6", "n + 10"], ["n", "u + 13", "u + 23"], ["u", "m + 19", "m + 42"], ["m", "s + 13", "s + 55"], ["s", "z + 16", "z + 71"], ["z", 11, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"z": 11}, "is_reverse": true}}
| 4,942
| 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 = s + 13; u = m + 19; q = n + 6; z = 11; f = z + 18; n = u + 13; h = f + 16; o = l + 12; s = z + 16; l = c + 17; r = q + 4; k = h + 1; c = k + 11. If z = 11, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 6 to r, which gives r = n + 10.\n2. Substitute n = u + 13 to r, which gives r = u + 23.\n3. Substitute u = m + 19 to r, which gives r = m + 42.\n4. Substitute m = s + 13 to r, which gives r = s + 55.\n5. Substitute s = z + 16 to r, which gives r = z + 71.\n6. Substitute z = 11 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 4942,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 13; u = m + 19; q = n + 6; z = 11; f = z + 18; n = u + 13; h = f + 16; o = l + 12; s = z + 16; l = c + 17; r = q + 4; k = h + 1; c = k + 11. If z = 11, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"q": "b + 6", "o": "q + 1", "c": "o + 15", "e": "c + 13", "s": "e + 11", "p": "s + 10", "a": "b + 6", "n": "a + 18", "f": "n + 11", "r": "f + 16", "y": "r + 7", "z": "y + 19", "b": 17}, "premises": {"b": 17}, "target": "p"}, "answer": {"steps": [["s", "e + 11", "e + 21"], ["e", "c + 13", "c + 34"], ["c", "o + 15", "o + 49"], ["o", "q + 1", "q + 50"], ["q", "b + 6", "b + 56"], ["b", 17, "73"]], "target_var_name": "p", "target_value": 73, "value_dict": {"b": 17}, "is_reverse": true}}
| 4,943
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = b + 6; y = r + 7; e = c + 13; o = q + 1; c = o + 15; r = f + 16; p = s + 10; s = e + 11; n = a + 18; f = n + 11; b = 17; a = b + 6; z = y + 19. Given that b = 17, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 11 to p, which gives p = e + 21.\n2. Substitute e = c + 13 to p, which gives p = c + 34.\n3. Substitute c = o + 15 to p, which gives p = o + 49.\n4. Substitute o = q + 1 to p, which gives p = q + 50.\n5. Substitute q = b + 6 to p, which gives p = b + 56.\n6. Substitute b = 17 to p, which gives p = 73.\n\nThus, the final answer is p = \\boxed{73}.",
"index": 4943,
"question": "Suppose a collection of variables is related by the following definitions: q = b + 6; y = r + 7; e = c + 13; o = q + 1; c = o + 15; r = f + 16; p = s + 10; s = e + 11; n = a + 18; f = n + 11; b = 17; a = b + 6; z = y + 19. Given that b = 17, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "u + 8", "n": "x + 15", "h": "n + 7", "b": "h + 2", "v": "b + 6", "m": "v + 17", "z": "u + 9", "s": "z + 20", "w": "s + 9", "l": "w + 10", "r": "l + 13", "p": "r + 18", "u": 4}, "premises": {"u": 4}, "target": "m"}, "answer": {"steps": [["v", "b + 6", "b + 23"], ["b", "h + 2", "h + 25"], ["h", "n + 7", "n + 32"], ["n", "x + 15", "x + 47"], ["x", "u + 8", "u + 55"], ["u", 4, "59"]], "target_var_name": "m", "target_value": 59, "value_dict": {"u": 4}, "is_reverse": true}}
| 4,944
| 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 = 4; v = b + 6; p = r + 18; m = v + 17; h = n + 7; b = h + 2; x = u + 8; s = z + 20; w = s + 9; r = l + 13; z = u + 9; n = x + 15; l = w + 10. If u = 4, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 59,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 6 to m, which gives m = b + 23.\n2. Substitute b = h + 2 to m, which gives m = h + 25.\n3. Substitute h = n + 7 to m, which gives m = n + 32.\n4. Substitute n = x + 15 to m, which gives m = x + 47.\n5. Substitute x = u + 8 to m, which gives m = u + 55.\n6. Substitute u = 4 to m, which gives m = 59.\n\nThus, the final answer is m = \\boxed{59}.",
"index": 4944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 4; v = b + 6; p = r + 18; m = v + 17; h = n + 7; b = h + 2; x = u + 8; s = z + 20; w = s + 9; r = l + 13; z = u + 9; n = x + 15; l = w + 10. If u = 4, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"k": "w + 13", "t": "k + 19", "e": "t + 13", "q": "e + 16", "c": "q + 1", "i": "c + 2", "p": "w + 14", "d": "p + 13", "b": "d + 14", "f": "b + 16", "s": "f + 3", "a": "s + 11", "w": 13}, "premises": {"w": 13}, "target": "i"}, "answer": {"steps": [["c", "q + 1", "q + 3"], ["q", "e + 16", "e + 19"], ["e", "t + 13", "t + 32"], ["t", "k + 19", "k + 51"], ["k", "w + 13", "w + 64"], ["w", 13, "77"]], "target_var_name": "i", "target_value": 77, "value_dict": {"w": 13}, "is_reverse": true}}
| 4,945
| 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 = t + 13; q = e + 16; p = w + 14; a = s + 11; i = c + 2; t = k + 19; c = q + 1; k = w + 13; s = f + 3; w = 13; d = p + 13; f = b + 16; b = d + 14. If w = 13, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 1 to i, which gives i = q + 3.\n2. Substitute q = e + 16 to i, which gives i = e + 19.\n3. Substitute e = t + 13 to i, which gives i = t + 32.\n4. Substitute t = k + 19 to i, which gives i = k + 51.\n5. Substitute k = w + 13 to i, which gives i = w + 64.\n6. Substitute w = 13 to i, which gives i = 77.\n\nThus, the final answer is i = \\boxed{77}.",
"index": 4945,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = t + 13; q = e + 16; p = w + 14; a = s + 11; i = c + 2; t = k + 19; c = q + 1; k = w + 13; s = f + 3; w = 13; d = p + 13; f = b + 16; b = d + 14. If w = 13, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"v": "f + 5", "w": "v + 14", "o": "w + 18", "y": "o + 14", "z": "y + 15", "u": "z + 4", "i": "f + 17", "p": "i + 20", "j": "p + 14", "d": "j + 18", "q": "d + 13", "r": "q + 6", "f": 1}, "premises": {"f": 1}, "target": "u"}, "answer": {"steps": [["z", "y + 15", "y + 19"], ["y", "o + 14", "o + 33"], ["o", "w + 18", "w + 51"], ["w", "v + 14", "v + 65"], ["v", "f + 5", "f + 70"], ["f", 1, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"f": 1}, "is_reverse": true}}
| 4,946
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = z + 4; q = d + 13; i = f + 17; v = f + 5; w = v + 14; p = i + 20; z = y + 15; j = p + 14; f = 1; d = j + 18; o = w + 18; y = o + 14; r = q + 6. If f = 1, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 15 to u, which gives u = y + 19.\n2. Substitute y = o + 14 to u, which gives u = o + 33.\n3. Substitute o = w + 18 to u, which gives u = w + 51.\n4. Substitute w = v + 14 to u, which gives u = v + 65.\n5. Substitute v = f + 5 to u, which gives u = f + 70.\n6. Substitute f = 1 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 4946,
"question": "Consider a system of variables where each variable is defined as follows: u = z + 4; q = d + 13; i = f + 17; v = f + 5; w = v + 14; p = i + 20; z = y + 15; j = p + 14; f = 1; d = j + 18; o = w + 18; y = o + 14; r = q + 6. If f = 1, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"p": "w + 8", "f": "p + 4", "j": "f + 17", "u": "j + 9", "z": "u + 16", "q": "z + 13", "c": "w + 8", "s": "c + 7", "g": "s + 16", "a": "g + 8", "x": "a + 14", "o": "x + 11", "w": 20}, "premises": {"w": 20}, "target": "q"}, "answer": {"steps": [["z", "u + 16", "u + 29"], ["u", "j + 9", "j + 38"], ["j", "f + 17", "f + 55"], ["f", "p + 4", "p + 59"], ["p", "w + 8", "w + 67"], ["w", 20, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"w": 20}, "is_reverse": true}}
| 4,947
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = z + 13; x = a + 14; s = c + 7; u = j + 9; j = f + 17; c = w + 8; w = 20; f = p + 4; z = u + 16; a = g + 8; p = w + 8; g = s + 16; o = x + 11. If w = 20, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 16 to q, which gives q = u + 29.\n2. Substitute u = j + 9 to q, which gives q = j + 38.\n3. Substitute j = f + 17 to q, which gives q = f + 55.\n4. Substitute f = p + 4 to q, which gives q = p + 59.\n5. Substitute p = w + 8 to q, which gives q = w + 67.\n6. Substitute w = 20 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 4947,
"question": "Consider a system of variables where each variable is defined as follows: q = z + 13; x = a + 14; s = c + 7; u = j + 9; j = f + 17; c = w + 8; w = 20; f = p + 4; z = u + 16; a = g + 8; p = w + 8; g = s + 16; o = x + 11. If w = 20, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"m": "r + 7", "v": "m + 10", "p": "v + 18", "g": "p + 8", "s": "g + 11", "k": "s + 1", "o": "r + 18", "c": "o + 18", "w": "c + 2", "y": "w + 19", "f": "y + 11", "t": "f + 4", "r": 6}, "premises": {"r": 6}, "target": "k"}, "answer": {"steps": [["s", "g + 11", "g + 12"], ["g", "p + 8", "p + 20"], ["p", "v + 18", "v + 38"], ["v", "m + 10", "m + 48"], ["m", "r + 7", "r + 55"], ["r", 6, "61"]], "target_var_name": "k", "target_value": 61, "value_dict": {"r": 6}, "is_reverse": true}}
| 4,948
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 7; r = 6; t = f + 4; c = o + 18; y = w + 19; f = y + 11; w = c + 2; g = p + 8; p = v + 18; s = g + 11; k = s + 1; v = m + 10; o = r + 18. Given that r = 6, 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 s = g + 11 to k, which gives k = g + 12.\n2. Substitute g = p + 8 to k, which gives k = p + 20.\n3. Substitute p = v + 18 to k, which gives k = v + 38.\n4. Substitute v = m + 10 to k, which gives k = m + 48.\n5. Substitute m = r + 7 to k, which gives k = r + 55.\n6. Substitute r = 6 to k, which gives k = 61.\n\nThus, the final answer is k = \\boxed{61}.",
"index": 4948,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 7; r = 6; t = f + 4; c = o + 18; y = w + 19; f = y + 11; w = c + 2; g = p + 8; p = v + 18; s = g + 11; k = s + 1; v = m + 10; o = r + 18. Given that r = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"f": "x + 1", "l": "f + 13", "q": "l + 11", "t": "q + 8", "z": "t + 4", "j": "z + 16", "p": "x + 1", "i": "p + 7", "h": "i + 4", "e": "h + 17", "r": "e + 16", "y": "r + 14", "x": 18}, "premises": {"x": 18}, "target": "j"}, "answer": {"steps": [["z", "t + 4", "t + 20"], ["t", "q + 8", "q + 28"], ["q", "l + 11", "l + 39"], ["l", "f + 13", "f + 52"], ["f", "x + 1", "x + 53"], ["x", 18, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"x": 18}, "is_reverse": true}}
| 4,949
| 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 = x + 1; p = x + 1; x = 18; l = f + 13; r = e + 16; j = z + 16; e = h + 17; h = i + 4; i = p + 7; z = t + 4; t = q + 8; y = r + 14; q = l + 11. If x = 18, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 4 to j, which gives j = t + 20.\n2. Substitute t = q + 8 to j, which gives j = q + 28.\n3. Substitute q = l + 11 to j, which gives j = l + 39.\n4. Substitute l = f + 13 to j, which gives j = f + 52.\n5. Substitute f = x + 1 to j, which gives j = x + 53.\n6. Substitute x = 18 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 4949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 1; p = x + 1; x = 18; l = f + 13; r = e + 16; j = z + 16; e = h + 17; h = i + 4; i = p + 7; z = t + 4; t = q + 8; y = r + 14; q = l + 11. If x = 18, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"f": "h + 6", "z": "f + 19", "r": "z + 18", "a": "r + 7", "y": "a + 10", "s": "y + 8", "o": "h + 14", "g": "o + 3", "b": "g + 7", "w": "b + 1", "k": "w + 17", "e": "k + 9", "h": 3}, "premises": {"h": 3}, "target": "s"}, "answer": {"steps": [["y", "a + 10", "a + 18"], ["a", "r + 7", "r + 25"], ["r", "z + 18", "z + 43"], ["z", "f + 19", "f + 62"], ["f", "h + 6", "h + 68"], ["h", 3, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"h": 3}, "is_reverse": true}}
| 4,950
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = r + 7; z = f + 19; s = y + 8; w = b + 1; h = 3; g = o + 3; y = a + 10; o = h + 14; f = h + 6; r = z + 18; e = k + 9; b = g + 7; k = w + 17. If h = 3, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = a + 10 to s, which gives s = a + 18.\n2. Substitute a = r + 7 to s, which gives s = r + 25.\n3. Substitute r = z + 18 to s, which gives s = z + 43.\n4. Substitute z = f + 19 to s, which gives s = f + 62.\n5. Substitute f = h + 6 to s, which gives s = h + 68.\n6. Substitute h = 3 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 4950,
"question": "Consider a system of variables where each variable is defined as follows: a = r + 7; z = f + 19; s = y + 8; w = b + 1; h = 3; g = o + 3; y = a + 10; o = h + 14; f = h + 6; r = z + 18; e = k + 9; b = g + 7; k = w + 17. If h = 3, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 3", "b": "p + 5", "i": "b + 14", "h": "i + 2", "w": "h + 2", "z": "w + 2", "v": "e + 14", "n": "v + 19", "r": "n + 17", "k": "r + 12", "j": "k + 14", "s": "j + 11", "e": 12}, "premises": {"e": 12}, "target": "z"}, "answer": {"steps": [["w", "h + 2", "h + 4"], ["h", "i + 2", "i + 6"], ["i", "b + 14", "b + 20"], ["b", "p + 5", "p + 25"], ["p", "e + 3", "e + 28"], ["e", 12, "40"]], "target_var_name": "z", "target_value": 40, "value_dict": {"e": 12}, "is_reverse": true}}
| 4,951
| 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 = i + 2; j = k + 14; r = n + 17; k = r + 12; e = 12; n = v + 19; b = p + 5; v = e + 14; z = w + 2; w = h + 2; p = e + 3; i = b + 14; s = j + 11. If e = 12, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 40,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 2 to z, which gives z = h + 4.\n2. Substitute h = i + 2 to z, which gives z = i + 6.\n3. Substitute i = b + 14 to z, which gives z = b + 20.\n4. Substitute b = p + 5 to z, which gives z = p + 25.\n5. Substitute p = e + 3 to z, which gives z = e + 28.\n6. Substitute e = 12 to z, which gives z = 40.\n\nThus, the final answer is z = \\boxed{40}.",
"index": 4951,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = i + 2; j = k + 14; r = n + 17; k = r + 12; e = 12; n = v + 19; b = p + 5; v = e + 14; z = w + 2; w = h + 2; p = e + 3; i = b + 14; s = j + 11. If e = 12, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"p": "a + 5", "e": "p + 3", "s": "e + 17", "j": "s + 20", "f": "j + 12", "x": "f + 8", "u": "a + 8", "v": "u + 7", "l": "v + 8", "c": "l + 15", "w": "c + 1", "t": "w + 8", "a": 1}, "premises": {"a": 1}, "target": "x"}, "answer": {"steps": [["f", "j + 12", "j + 20"], ["j", "s + 20", "s + 40"], ["s", "e + 17", "e + 57"], ["e", "p + 3", "p + 60"], ["p", "a + 5", "a + 65"], ["a", 1, "66"]], "target_var_name": "x", "target_value": 66, "value_dict": {"a": 1}, "is_reverse": true}}
| 4,952
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = v + 8; t = w + 8; w = c + 1; v = u + 7; x = f + 8; a = 1; u = a + 8; c = l + 15; p = a + 5; e = p + 3; j = s + 20; s = e + 17; f = j + 12. If a = 1, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 12 to x, which gives x = j + 20.\n2. Substitute j = s + 20 to x, which gives x = s + 40.\n3. Substitute s = e + 17 to x, which gives x = e + 57.\n4. Substitute e = p + 3 to x, which gives x = p + 60.\n5. Substitute p = a + 5 to x, which gives x = a + 65.\n6. Substitute a = 1 to x, which gives x = 66.\n\nThus, the final answer is x = \\boxed{66}.",
"index": 4952,
"question": "Consider a system of variables where each variable is defined as follows: l = v + 8; t = w + 8; w = c + 1; v = u + 7; x = f + 8; a = 1; u = a + 8; c = l + 15; p = a + 5; e = p + 3; j = s + 20; s = e + 17; f = j + 12. If a = 1, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"u": "f + 19", "v": "u + 17", "i": "v + 17", "e": "i + 11", "z": "e + 19", "p": "z + 7", "k": "f + 19", "t": "k + 8", "d": "t + 6", "y": "d + 19", "o": "y + 10", "b": "o + 17", "f": 5}, "premises": {"f": 5}, "target": "p"}, "answer": {"steps": [["z", "e + 19", "e + 26"], ["e", "i + 11", "i + 37"], ["i", "v + 17", "v + 54"], ["v", "u + 17", "u + 71"], ["u", "f + 19", "f + 90"], ["f", 5, "95"]], "target_var_name": "p", "target_value": 95, "value_dict": {"f": 5}, "is_reverse": true}}
| 4,953
| 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 + 19; u = f + 19; f = 5; t = k + 8; p = z + 7; o = y + 10; i = v + 17; k = f + 19; v = u + 17; y = d + 19; d = t + 6; e = i + 11; b = o + 17. If f = 5, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 19 to p, which gives p = e + 26.\n2. Substitute e = i + 11 to p, which gives p = i + 37.\n3. Substitute i = v + 17 to p, which gives p = v + 54.\n4. Substitute v = u + 17 to p, which gives p = u + 71.\n5. Substitute u = f + 19 to p, which gives p = f + 90.\n6. Substitute f = 5 to p, which gives p = 95.\n\nThus, the final answer is p = \\boxed{95}.",
"index": 4953,
"question": "Consider a system of variables where each variable is defined as follows: z = e + 19; u = f + 19; f = 5; t = k + 8; p = z + 7; o = y + 10; i = v + 17; k = f + 19; v = u + 17; y = d + 19; d = t + 6; e = i + 11; b = o + 17. If f = 5, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"l": "j + 15", "h": "l + 18", "d": "h + 4", "m": "d + 5", "c": "m + 17", "w": "c + 8", "q": "j + 7", "p": "q + 8", "v": "p + 7", "y": "v + 12", "k": "y + 15", "a": "k + 5", "j": 4}, "premises": {"j": 4}, "target": "w"}, "answer": {"steps": [["c", "m + 17", "m + 25"], ["m", "d + 5", "d + 30"], ["d", "h + 4", "h + 34"], ["h", "l + 18", "l + 52"], ["l", "j + 15", "j + 67"], ["j", 4, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"j": 4}, "is_reverse": true}}
| 4,954
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 7; m = d + 5; j = 4; k = y + 15; v = p + 7; a = k + 5; y = v + 12; w = c + 8; p = q + 8; d = h + 4; c = m + 17; h = l + 18; l = j + 15. If j = 4, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = m + 17 to w, which gives w = m + 25.\n2. Substitute m = d + 5 to w, which gives w = d + 30.\n3. Substitute d = h + 4 to w, which gives w = h + 34.\n4. Substitute h = l + 18 to w, which gives w = l + 52.\n5. Substitute l = j + 15 to w, which gives w = j + 67.\n6. Substitute j = 4 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 4954,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 7; m = d + 5; j = 4; k = y + 15; v = p + 7; a = k + 5; y = v + 12; w = c + 8; p = q + 8; d = h + 4; c = m + 17; h = l + 18; l = j + 15. If j = 4, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 4", "e": "d + 10", "b": "e + 12", "z": "b + 14", "j": "z + 10", "f": "j + 12", "o": "c + 13", "a": "o + 13", "q": "a + 8", "x": "q + 13", "r": "x + 7", "v": "r + 4", "c": 3}, "premises": {"c": 3}, "target": "f"}, "answer": {"steps": [["j", "z + 10", "z + 22"], ["z", "b + 14", "b + 36"], ["b", "e + 12", "e + 48"], ["e", "d + 10", "d + 58"], ["d", "c + 4", "c + 62"], ["c", 3, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"c": 3}, "is_reverse": true}}
| 4,955
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = e + 12; z = b + 14; c = 3; v = r + 4; f = j + 12; x = q + 13; e = d + 10; r = x + 7; j = z + 10; o = c + 13; a = o + 13; d = c + 4; q = a + 8. Given that c = 3, find the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 10 to f, which gives f = z + 22.\n2. Substitute z = b + 14 to f, which gives f = b + 36.\n3. Substitute b = e + 12 to f, which gives f = e + 48.\n4. Substitute e = d + 10 to f, which gives f = d + 58.\n5. Substitute d = c + 4 to f, which gives f = c + 62.\n6. Substitute c = 3 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 4955,
"question": "Suppose a collection of variables is related by the following definitions: b = e + 12; z = b + 14; c = 3; v = r + 4; f = j + 12; x = q + 13; e = d + 10; r = x + 7; j = z + 10; o = c + 13; a = o + 13; d = c + 4; q = a + 8. Given that c = 3, find the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"f": "l + 20", "b": "f + 4", "j": "b + 17", "h": "j + 10", "a": "h + 2", "z": "a + 10", "y": "l + 16", "p": "y + 13", "u": "p + 10", "g": "u + 2", "r": "g + 16", "w": "r + 10", "l": 18}, "premises": {"l": 18}, "target": "z"}, "answer": {"steps": [["a", "h + 2", "h + 12"], ["h", "j + 10", "j + 22"], ["j", "b + 17", "b + 39"], ["b", "f + 4", "f + 43"], ["f", "l + 20", "l + 63"], ["l", 18, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"l": 18}, "is_reverse": true}}
| 4,956
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 18; a = h + 2; h = j + 10; p = y + 13; u = p + 10; b = f + 4; z = a + 10; g = u + 2; r = g + 16; y = l + 16; w = r + 10; j = b + 17; f = l + 20. If l = 18, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 2 to z, which gives z = h + 12.\n2. Substitute h = j + 10 to z, which gives z = j + 22.\n3. Substitute j = b + 17 to z, which gives z = b + 39.\n4. Substitute b = f + 4 to z, which gives z = f + 43.\n5. Substitute f = l + 20 to z, which gives z = l + 63.\n6. Substitute l = 18 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 4956,
"question": "Consider a system of variables where each variable is defined as follows: l = 18; a = h + 2; h = j + 10; p = y + 13; u = p + 10; b = f + 4; z = a + 10; g = u + 2; r = g + 16; y = l + 16; w = r + 10; j = b + 17; f = l + 20. If l = 18, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"d": "p + 2", "y": "d + 3", "c": "y + 15", "q": "c + 20", "k": "q + 18", "l": "k + 2", "z": "p + 9", "x": "z + 8", "o": "x + 16", "a": "o + 8", "h": "a + 6", "w": "h + 20", "p": 4}, "premises": {"p": 4}, "target": "l"}, "answer": {"steps": [["k", "q + 18", "q + 20"], ["q", "c + 20", "c + 40"], ["c", "y + 15", "y + 55"], ["y", "d + 3", "d + 58"], ["d", "p + 2", "p + 60"], ["p", 4, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"p": 4}, "is_reverse": true}}
| 4,957
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: x = z + 8; p = 4; a = o + 8; q = c + 20; w = h + 20; c = y + 15; d = p + 2; l = k + 2; z = p + 9; o = x + 16; h = a + 6; k = q + 18; y = d + 3. If p = 4, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 18 to l, which gives l = q + 20.\n2. Substitute q = c + 20 to l, which gives l = c + 40.\n3. Substitute c = y + 15 to l, which gives l = y + 55.\n4. Substitute y = d + 3 to l, which gives l = d + 58.\n5. Substitute d = p + 2 to l, which gives l = p + 60.\n6. Substitute p = 4 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 4957,
"question": "Consider a system of variables where each variable is defined as follows: x = z + 8; p = 4; a = o + 8; q = c + 20; w = h + 20; c = y + 15; d = p + 2; l = k + 2; z = p + 9; o = x + 16; h = a + 6; k = q + 18; y = d + 3. If p = 4, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"m": "e + 11", "j": "m + 5", "c": "j + 9", "s": "c + 6", "g": "s + 5", "r": "g + 11", "w": "e + 3", "i": "w + 19", "o": "i + 8", "f": "o + 4", "a": "f + 1", "d": "a + 11", "e": 8}, "premises": {"e": 8}, "target": "r"}, "answer": {"steps": [["g", "s + 5", "s + 16"], ["s", "c + 6", "c + 22"], ["c", "j + 9", "j + 31"], ["j", "m + 5", "m + 36"], ["m", "e + 11", "e + 47"], ["e", 8, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"e": 8}, "is_reverse": true}}
| 4,958
| 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 = a + 11; f = o + 4; c = j + 9; a = f + 1; e = 8; r = g + 11; m = e + 11; g = s + 5; s = c + 6; o = i + 8; w = e + 3; i = w + 19; j = m + 5. If e = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 5 to r, which gives r = s + 16.\n2. Substitute s = c + 6 to r, which gives r = c + 22.\n3. Substitute c = j + 9 to r, which gives r = j + 31.\n4. Substitute j = m + 5 to r, which gives r = m + 36.\n5. Substitute m = e + 11 to r, which gives r = e + 47.\n6. Substitute e = 8 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 4958,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = a + 11; f = o + 4; c = j + 9; a = f + 1; e = 8; r = g + 11; m = e + 11; g = s + 5; s = c + 6; o = i + 8; w = e + 3; i = w + 19; j = m + 5. If e = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"i": "w + 16", "d": "i + 16", "o": "d + 17", "q": "o + 20", "a": "q + 18", "e": "a + 5", "c": "w + 11", "g": "c + 1", "m": "g + 12", "x": "m + 8", "h": "x + 10", "u": "h + 5", "w": 9}, "premises": {"w": 9}, "target": "e"}, "answer": {"steps": [["a", "q + 18", "q + 23"], ["q", "o + 20", "o + 43"], ["o", "d + 17", "d + 60"], ["d", "i + 16", "i + 76"], ["i", "w + 16", "w + 92"], ["w", 9, "101"]], "target_var_name": "e", "target_value": 101, "value_dict": {"w": 9}, "is_reverse": true}}
| 4,959
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: o = d + 17; a = q + 18; w = 9; u = h + 5; i = w + 16; c = w + 11; h = x + 10; e = a + 5; g = c + 1; m = g + 12; x = m + 8; d = i + 16; q = o + 20. Given that w = 9, find the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 101,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 18 to e, which gives e = q + 23.\n2. Substitute q = o + 20 to e, which gives e = o + 43.\n3. Substitute o = d + 17 to e, which gives e = d + 60.\n4. Substitute d = i + 16 to e, which gives e = i + 76.\n5. Substitute i = w + 16 to e, which gives e = w + 92.\n6. Substitute w = 9 to e, which gives e = 101.\n\nThus, the final answer is e = \\boxed{101}.",
"index": 4959,
"question": "Suppose a collection of variables is related by the following definitions: o = d + 17; a = q + 18; w = 9; u = h + 5; i = w + 16; c = w + 11; h = x + 10; e = a + 5; g = c + 1; m = g + 12; x = m + 8; d = i + 16; q = o + 20. Given that w = 9, find the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 19", "n": "p + 10", "c": "n + 9", "l": "c + 5", "u": "l + 3", "t": "u + 1", "d": "x + 14", "e": "d + 6", "h": "e + 2", "b": "h + 4", "i": "b + 18", "w": "i + 13", "x": 19}, "premises": {"x": 19}, "target": "t"}, "answer": {"steps": [["u", "l + 3", "l + 4"], ["l", "c + 5", "c + 9"], ["c", "n + 9", "n + 18"], ["n", "p + 10", "p + 28"], ["p", "x + 19", "x + 47"], ["x", 19, "66"]], "target_var_name": "t", "target_value": 66, "value_dict": {"x": 19}, "is_reverse": true}}
| 4,960
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = p + 10; p = x + 19; w = i + 13; t = u + 1; d = x + 14; b = h + 4; c = n + 9; l = c + 5; e = d + 6; h = e + 2; u = l + 3; x = 19; i = b + 18. Given that x = 19, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 3 to t, which gives t = l + 4.\n2. Substitute l = c + 5 to t, which gives t = c + 9.\n3. Substitute c = n + 9 to t, which gives t = n + 18.\n4. Substitute n = p + 10 to t, which gives t = p + 28.\n5. Substitute p = x + 19 to t, which gives t = x + 47.\n6. Substitute x = 19 to t, which gives t = 66.\n\nThus, the final answer is t = \\boxed{66}.",
"index": 4960,
"question": "Suppose a collection of variables is related by the following definitions: n = p + 10; p = x + 19; w = i + 13; t = u + 1; d = x + 14; b = h + 4; c = n + 9; l = c + 5; e = d + 6; h = e + 2; u = l + 3; x = 19; i = b + 18. Given that x = 19, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"p": "x + 15", "b": "p + 16", "m": "b + 15", "y": "m + 12", "e": "y + 19", "t": "e + 2", "h": "x + 4", "k": "h + 14", "i": "k + 17", "l": "i + 1", "g": "l + 15", "n": "g + 5", "x": 16}, "premises": {"x": 16}, "target": "t"}, "answer": {"steps": [["e", "y + 19", "y + 21"], ["y", "m + 12", "m + 33"], ["m", "b + 15", "b + 48"], ["b", "p + 16", "p + 64"], ["p", "x + 15", "x + 79"], ["x", 16, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"x": 16}, "is_reverse": true}}
| 4,961
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 1; t = e + 2; i = k + 17; x = 16; n = g + 5; m = b + 15; y = m + 12; b = p + 16; k = h + 14; e = y + 19; g = l + 15; h = x + 4; p = x + 15. Given that x = 16, find the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = y + 19 to t, which gives t = y + 21.\n2. Substitute y = m + 12 to t, which gives t = m + 33.\n3. Substitute m = b + 15 to t, which gives t = b + 48.\n4. Substitute b = p + 16 to t, which gives t = p + 64.\n5. Substitute p = x + 15 to t, which gives t = x + 79.\n6. Substitute x = 16 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 4961,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 1; t = e + 2; i = k + 17; x = 16; n = g + 5; m = b + 15; y = m + 12; b = p + 16; k = h + 14; e = y + 19; g = l + 15; h = x + 4; p = x + 15. Given that x = 16, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"l": "z + 16", "x": "l + 6", "c": "x + 19", "t": "c + 19", "d": "t + 20", "v": "d + 7", "q": "z + 6", "s": "q + 19", "f": "s + 14", "o": "f + 11", "h": "o + 4", "j": "h + 17", "z": 16}, "premises": {"z": 16}, "target": "v"}, "answer": {"steps": [["d", "t + 20", "t + 27"], ["t", "c + 19", "c + 46"], ["c", "x + 19", "x + 65"], ["x", "l + 6", "l + 71"], ["l", "z + 16", "z + 87"], ["z", 16, "103"]], "target_var_name": "v", "target_value": 103, "value_dict": {"z": 16}, "is_reverse": true}}
| 4,962
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 7; o = f + 11; x = l + 6; l = z + 16; t = c + 19; f = s + 14; c = x + 19; d = t + 20; q = z + 6; h = o + 4; s = q + 19; j = h + 17; z = 16. Given that z = 16, find the value of v.",
"role": "user"
}
] |
math
|
{
"ground_truth": 103,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 20 to v, which gives v = t + 27.\n2. Substitute t = c + 19 to v, which gives v = c + 46.\n3. Substitute c = x + 19 to v, which gives v = x + 65.\n4. Substitute x = l + 6 to v, which gives v = l + 71.\n5. Substitute l = z + 16 to v, which gives v = z + 87.\n6. Substitute z = 16 to v, which gives v = 103.\n\nThus, the final answer is v = \\boxed{103}.",
"index": 4962,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 7; o = f + 11; x = l + 6; l = z + 16; t = c + 19; f = s + 14; c = x + 19; d = t + 20; q = z + 6; h = o + 4; s = q + 19; j = h + 17; z = 16. Given that z = 16, find the value of v.",
"split": "train"
}
|
{"problem": {"rules": {"b": "g + 5", "t": "b + 1", "d": "t + 7", "u": "d + 3", "a": "u + 20", "q": "a + 18", "s": "g + 1", "v": "s + 2", "x": "v + 19", "o": "x + 2", "p": "o + 20", "l": "p + 15", "g": 18}, "premises": {"g": 18}, "target": "q"}, "answer": {"steps": [["a", "u + 20", "u + 38"], ["u", "d + 3", "d + 41"], ["d", "t + 7", "t + 48"], ["t", "b + 1", "b + 49"], ["b", "g + 5", "g + 54"], ["g", 18, "72"]], "target_var_name": "q", "target_value": 72, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,963
| 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 = o + 20; q = a + 18; l = p + 15; u = d + 3; o = x + 2; b = g + 5; s = g + 1; v = s + 2; t = b + 1; g = 18; x = v + 19; d = t + 7; a = u + 20. If g = 18, what is the resulting 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 a = u + 20 to q, which gives q = u + 38.\n2. Substitute u = d + 3 to q, which gives q = d + 41.\n3. Substitute d = t + 7 to q, which gives q = t + 48.\n4. Substitute t = b + 1 to q, which gives q = b + 49.\n5. Substitute b = g + 5 to q, which gives q = g + 54.\n6. Substitute g = 18 to q, which gives q = 72.\n\nThus, the final answer is q = \\boxed{72}.",
"index": 4963,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = o + 20; q = a + 18; l = p + 15; u = d + 3; o = x + 2; b = g + 5; s = g + 1; v = s + 2; t = b + 1; g = 18; x = v + 19; d = t + 7; a = u + 20. If g = 18, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"c": "h + 20", "p": "c + 3", "d": "p + 20", "k": "d + 3", "a": "k + 20", "o": "a + 16", "j": "h + 2", "m": "j + 13", "e": "m + 7", "l": "e + 15", "w": "l + 8", "y": "w + 10", "h": 2}, "premises": {"h": 2}, "target": "o"}, "answer": {"steps": [["a", "k + 20", "k + 36"], ["k", "d + 3", "d + 39"], ["d", "p + 20", "p + 59"], ["p", "c + 3", "c + 62"], ["c", "h + 20", "h + 82"], ["h", 2, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"h": 2}, "is_reverse": true}}
| 4,964
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = e + 15; k = d + 3; e = m + 7; c = h + 20; a = k + 20; d = p + 20; w = l + 8; m = j + 13; j = h + 2; y = w + 10; h = 2; o = a + 16; p = c + 3. If h = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 20 to o, which gives o = k + 36.\n2. Substitute k = d + 3 to o, which gives o = d + 39.\n3. Substitute d = p + 20 to o, which gives o = p + 59.\n4. Substitute p = c + 3 to o, which gives o = c + 62.\n5. Substitute c = h + 20 to o, which gives o = h + 82.\n6. Substitute h = 2 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 4964,
"question": "Consider a system of variables where each variable is defined as follows: l = e + 15; k = d + 3; e = m + 7; c = h + 20; a = k + 20; d = p + 20; w = l + 8; m = j + 13; j = h + 2; y = w + 10; h = 2; o = a + 16; p = c + 3. If h = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"l": "c + 7", "v": "l + 4", "r": "v + 9", "h": "r + 10", "w": "h + 2", "y": "w + 1", "i": "c + 18", "o": "i + 16", "n": "o + 14", "p": "n + 13", "b": "p + 13", "q": "b + 14", "c": 8}, "premises": {"c": 8}, "target": "y"}, "answer": {"steps": [["w", "h + 2", "h + 3"], ["h", "r + 10", "r + 13"], ["r", "v + 9", "v + 22"], ["v", "l + 4", "l + 26"], ["l", "c + 7", "c + 33"], ["c", 8, "41"]], "target_var_name": "y", "target_value": 41, "value_dict": {"c": 8}, "is_reverse": true}}
| 4,965
| 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 = n + 13; w = h + 2; l = c + 7; c = 8; o = i + 16; r = v + 9; b = p + 13; q = b + 14; i = c + 18; n = o + 14; v = l + 4; y = w + 1; h = r + 10. If c = 8, 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 w = h + 2 to y, which gives y = h + 3.\n2. Substitute h = r + 10 to y, which gives y = r + 13.\n3. Substitute r = v + 9 to y, which gives y = v + 22.\n4. Substitute v = l + 4 to y, which gives y = l + 26.\n5. Substitute l = c + 7 to y, which gives y = c + 33.\n6. Substitute c = 8 to y, which gives y = 41.\n\nThus, the final answer is y = \\boxed{41}.",
"index": 4965,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 13; w = h + 2; l = c + 7; c = 8; o = i + 16; r = v + 9; b = p + 13; q = b + 14; i = c + 18; n = o + 14; v = l + 4; y = w + 1; h = r + 10. If c = 8, what is the resulting value of y?",
"split": "train"
}
|
{"problem": {"rules": {"a": "g + 4", "e": "a + 3", "o": "e + 18", "n": "o + 7", "h": "n + 20", "p": "h + 8", "v": "g + 1", "u": "v + 18", "x": "u + 14", "z": "x + 13", "r": "z + 8", "m": "r + 1", "g": 18}, "premises": {"g": 18}, "target": "p"}, "answer": {"steps": [["h", "n + 20", "n + 28"], ["n", "o + 7", "o + 35"], ["o", "e + 18", "e + 53"], ["e", "a + 3", "a + 56"], ["a", "g + 4", "g + 60"], ["g", 18, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"g": 18}, "is_reverse": true}}
| 4,966
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = g + 1; m = r + 1; p = h + 8; a = g + 4; n = o + 7; z = x + 13; r = z + 8; h = n + 20; o = e + 18; g = 18; u = v + 18; e = a + 3; x = u + 14. Given that g = 18, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 20 to p, which gives p = n + 28.\n2. Substitute n = o + 7 to p, which gives p = o + 35.\n3. Substitute o = e + 18 to p, which gives p = e + 53.\n4. Substitute e = a + 3 to p, which gives p = a + 56.\n5. Substitute a = g + 4 to p, which gives p = g + 60.\n6. Substitute g = 18 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 4966,
"question": "Suppose a collection of variables is related by the following definitions: v = g + 1; m = r + 1; p = h + 8; a = g + 4; n = o + 7; z = x + 13; r = z + 8; h = n + 20; o = e + 18; g = 18; u = v + 18; e = a + 3; x = u + 14. Given that g = 18, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 14", "h": "k + 15", "f": "h + 7", "n": "f + 5", "p": "n + 6", "d": "p + 19", "l": "q + 14", "t": "l + 13", "v": "t + 4", "i": "v + 4", "w": "i + 2", "a": "w + 9", "q": 9}, "premises": {"q": 9}, "target": "d"}, "answer": {"steps": [["p", "n + 6", "n + 25"], ["n", "f + 5", "f + 30"], ["f", "h + 7", "h + 37"], ["h", "k + 15", "k + 52"], ["k", "q + 14", "q + 66"], ["q", 9, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"q": 9}, "is_reverse": true}}
| 4,967
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 9; i = v + 4; n = f + 5; q = 9; k = q + 14; l = q + 14; w = i + 2; f = h + 7; t = l + 13; d = p + 19; h = k + 15; p = n + 6; v = t + 4. If q = 9, determine the value of d.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 6 to d, which gives d = n + 25.\n2. Substitute n = f + 5 to d, which gives d = f + 30.\n3. Substitute f = h + 7 to d, which gives d = h + 37.\n4. Substitute h = k + 15 to d, which gives d = k + 52.\n5. Substitute k = q + 14 to d, which gives d = q + 66.\n6. Substitute q = 9 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 4967,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 9; i = v + 4; n = f + 5; q = 9; k = q + 14; l = q + 14; w = i + 2; f = h + 7; t = l + 13; d = p + 19; h = k + 15; p = n + 6; v = t + 4. If q = 9, determine the value of d.",
"split": "train"
}
|
{"problem": {"rules": {"g": "b + 20", "w": "g + 20", "x": "w + 18", "s": "x + 19", "j": "s + 11", "c": "j + 1", "o": "b + 6", "a": "o + 9", "q": "a + 8", "v": "q + 17", "f": "v + 14", "r": "f + 1", "b": 20}, "premises": {"b": 20}, "target": "c"}, "answer": {"steps": [["j", "s + 11", "s + 12"], ["s", "x + 19", "x + 31"], ["x", "w + 18", "w + 49"], ["w", "g + 20", "g + 69"], ["g", "b + 20", "b + 89"], ["b", 20, "109"]], "target_var_name": "c", "target_value": 109, "value_dict": {"b": 20}, "is_reverse": true}}
| 4,968
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = v + 14; a = o + 9; x = w + 18; c = j + 1; o = b + 6; w = g + 20; b = 20; j = s + 11; g = b + 20; q = a + 8; s = x + 19; r = f + 1; v = q + 17. If b = 20, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 109,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = s + 11 to c, which gives c = s + 12.\n2. Substitute s = x + 19 to c, which gives c = x + 31.\n3. Substitute x = w + 18 to c, which gives c = w + 49.\n4. Substitute w = g + 20 to c, which gives c = g + 69.\n5. Substitute g = b + 20 to c, which gives c = b + 89.\n6. Substitute b = 20 to c, which gives c = 109.\n\nThus, the final answer is c = \\boxed{109}.",
"index": 4968,
"question": "Consider a system of variables where each variable is defined as follows: f = v + 14; a = o + 9; x = w + 18; c = j + 1; o = b + 6; w = g + 20; b = 20; j = s + 11; g = b + 20; q = a + 8; s = x + 19; r = f + 1; v = q + 17. If b = 20, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"a": "s + 19", "c": "a + 9", "k": "c + 7", "i": "k + 4", "b": "i + 12", "l": "b + 10", "h": "s + 14", "g": "h + 8", "p": "g + 8", "d": "p + 4", "f": "d + 1", "x": "f + 13", "s": 5}, "premises": {"s": 5}, "target": "l"}, "answer": {"steps": [["b", "i + 12", "i + 22"], ["i", "k + 4", "k + 26"], ["k", "c + 7", "c + 33"], ["c", "a + 9", "a + 42"], ["a", "s + 19", "s + 61"], ["s", 5, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"s": 5}, "is_reverse": true}}
| 4,969
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 8; g = h + 8; l = b + 10; d = p + 4; c = a + 9; i = k + 4; h = s + 14; f = d + 1; a = s + 19; k = c + 7; x = f + 13; s = 5; b = i + 12. Given that s = 5, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 12 to l, which gives l = i + 22.\n2. Substitute i = k + 4 to l, which gives l = k + 26.\n3. Substitute k = c + 7 to l, which gives l = c + 33.\n4. Substitute c = a + 9 to l, which gives l = a + 42.\n5. Substitute a = s + 19 to l, which gives l = s + 61.\n6. Substitute s = 5 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 4969,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 8; g = h + 8; l = b + 10; d = p + 4; c = a + 9; i = k + 4; h = s + 14; f = d + 1; a = s + 19; k = c + 7; x = f + 13; s = 5; b = i + 12. Given that s = 5, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "u + 9", "p": "e + 19", "k": "p + 17", "g": "k + 2", "c": "g + 8", "j": "c + 12", "w": "u + 4", "h": "w + 8", "x": "h + 10", "z": "x + 11", "r": "z + 6", "n": "r + 11", "u": 11}, "premises": {"u": 11}, "target": "j"}, "answer": {"steps": [["c", "g + 8", "g + 20"], ["g", "k + 2", "k + 22"], ["k", "p + 17", "p + 39"], ["p", "e + 19", "e + 58"], ["e", "u + 9", "u + 67"], ["u", 11, "78"]], "target_var_name": "j", "target_value": 78, "value_dict": {"u": 11}, "is_reverse": true}}
| 4,970
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = k + 2; j = c + 12; e = u + 9; c = g + 8; u = 11; n = r + 11; p = e + 19; w = u + 4; x = h + 10; r = z + 6; h = w + 8; k = p + 17; z = x + 11. Given that u = 11, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = g + 8 to j, which gives j = g + 20.\n2. Substitute g = k + 2 to j, which gives j = k + 22.\n3. Substitute k = p + 17 to j, which gives j = p + 39.\n4. Substitute p = e + 19 to j, which gives j = e + 58.\n5. Substitute e = u + 9 to j, which gives j = u + 67.\n6. Substitute u = 11 to j, which gives j = 78.\n\nThus, the final answer is j = \\boxed{78}.",
"index": 4970,
"question": "Suppose a collection of variables is related by the following definitions: g = k + 2; j = c + 12; e = u + 9; c = g + 8; u = 11; n = r + 11; p = e + 19; w = u + 4; x = h + 10; r = z + 6; h = w + 8; k = p + 17; z = x + 11. Given that u = 11, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"u": "b + 12", "l": "u + 11", "r": "l + 12", "j": "r + 12", "z": "j + 2", "m": "z + 13", "t": "b + 15", "i": "t + 13", "h": "i + 9", "x": "h + 14", "p": "x + 7", "f": "p + 20", "b": 9}, "premises": {"b": 9}, "target": "m"}, "answer": {"steps": [["z", "j + 2", "j + 15"], ["j", "r + 12", "r + 27"], ["r", "l + 12", "l + 39"], ["l", "u + 11", "u + 50"], ["u", "b + 12", "b + 62"], ["b", 9, "71"]], "target_var_name": "m", "target_value": 71, "value_dict": {"b": 9}, "is_reverse": true}}
| 4,971
| 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 = p + 20; u = b + 12; j = r + 12; t = b + 15; b = 9; i = t + 13; h = i + 9; x = h + 14; m = z + 13; r = l + 12; p = x + 7; l = u + 11; z = j + 2. If b = 9, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = j + 2 to m, which gives m = j + 15.\n2. Substitute j = r + 12 to m, which gives m = r + 27.\n3. Substitute r = l + 12 to m, which gives m = l + 39.\n4. Substitute l = u + 11 to m, which gives m = u + 50.\n5. Substitute u = b + 12 to m, which gives m = b + 62.\n6. Substitute b = 9 to m, which gives m = 71.\n\nThus, the final answer is m = \\boxed{71}.",
"index": 4971,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = p + 20; u = b + 12; j = r + 12; t = b + 15; b = 9; i = t + 13; h = i + 9; x = h + 14; m = z + 13; r = l + 12; p = x + 7; l = u + 11; z = j + 2. If b = 9, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"z": "m + 18", "c": "z + 4", "a": "c + 7", "f": "a + 7", "x": "f + 17", "y": "x + 6", "r": "m + 3", "i": "r + 4", "l": "i + 15", "q": "l + 3", "s": "q + 1", "u": "s + 20", "m": 14}, "premises": {"m": 14}, "target": "y"}, "answer": {"steps": [["x", "f + 17", "f + 23"], ["f", "a + 7", "a + 30"], ["a", "c + 7", "c + 37"], ["c", "z + 4", "z + 41"], ["z", "m + 18", "m + 59"], ["m", 14, "73"]], "target_var_name": "y", "target_value": 73, "value_dict": {"m": 14}, "is_reverse": true}}
| 4,972
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = 14; l = i + 15; u = s + 20; y = x + 6; a = c + 7; f = a + 7; c = z + 4; x = f + 17; q = l + 3; i = r + 4; z = m + 18; s = q + 1; r = m + 3. If m = 14, determine the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = f + 17 to y, which gives y = f + 23.\n2. Substitute f = a + 7 to y, which gives y = a + 30.\n3. Substitute a = c + 7 to y, which gives y = c + 37.\n4. Substitute c = z + 4 to y, which gives y = z + 41.\n5. Substitute z = m + 18 to y, which gives y = m + 59.\n6. Substitute m = 14 to y, which gives y = 73.\n\nThus, the final answer is y = \\boxed{73}.",
"index": 4972,
"question": "Consider a system of variables where each variable is defined as follows: m = 14; l = i + 15; u = s + 20; y = x + 6; a = c + 7; f = a + 7; c = z + 4; x = f + 17; q = l + 3; i = r + 4; z = m + 18; s = q + 1; r = m + 3. If m = 14, determine the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 20", "y": "r + 17", "n": "y + 7", "g": "n + 8", "f": "g + 9", "h": "f + 3", "j": "a + 10", "m": "j + 4", "u": "m + 1", "q": "u + 3", "l": "q + 8", "i": "l + 18", "a": 4}, "premises": {"a": 4}, "target": "h"}, "answer": {"steps": [["f", "g + 9", "g + 12"], ["g", "n + 8", "n + 20"], ["n", "y + 7", "y + 27"], ["y", "r + 17", "r + 44"], ["r", "a + 20", "a + 64"], ["a", 4, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"a": 4}, "is_reverse": true}}
| 4,973
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: n = y + 7; m = j + 4; l = q + 8; i = l + 18; q = u + 3; r = a + 20; u = m + 1; f = g + 9; h = f + 3; a = 4; g = n + 8; y = r + 17; j = a + 10. If a = 4, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 9 to h, which gives h = g + 12.\n2. Substitute g = n + 8 to h, which gives h = n + 20.\n3. Substitute n = y + 7 to h, which gives h = y + 27.\n4. Substitute y = r + 17 to h, which gives h = r + 44.\n5. Substitute r = a + 20 to h, which gives h = a + 64.\n6. Substitute a = 4 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 4973,
"question": "Consider a system of variables where each variable is defined as follows: n = y + 7; m = j + 4; l = q + 8; i = l + 18; q = u + 3; r = a + 20; u = m + 1; f = g + 9; h = f + 3; a = 4; g = n + 8; y = r + 17; j = a + 10. If a = 4, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "l + 3", "a": "b + 9", "y": "a + 17", "o": "y + 15", "e": "o + 20", "m": "e + 14", "p": "l + 18", "s": "p + 15", "i": "s + 1", "t": "i + 2", "r": "t + 1", "q": "r + 5", "l": 14}, "premises": {"l": 14}, "target": "m"}, "answer": {"steps": [["e", "o + 20", "o + 34"], ["o", "y + 15", "y + 49"], ["y", "a + 17", "a + 66"], ["a", "b + 9", "b + 75"], ["b", "l + 3", "l + 78"], ["l", 14, "92"]], "target_var_name": "m", "target_value": 92, "value_dict": {"l": 14}, "is_reverse": true}}
| 4,974
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = l + 18; i = s + 1; t = i + 2; q = r + 5; o = y + 15; y = a + 17; a = b + 9; r = t + 1; e = o + 20; b = l + 3; l = 14; m = e + 14; s = p + 15. If l = 14, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 20 to m, which gives m = o + 34.\n2. Substitute o = y + 15 to m, which gives m = y + 49.\n3. Substitute y = a + 17 to m, which gives m = a + 66.\n4. Substitute a = b + 9 to m, which gives m = b + 75.\n5. Substitute b = l + 3 to m, which gives m = l + 78.\n6. Substitute l = 14 to m, which gives m = 92.\n\nThus, the final answer is m = \\boxed{92}.",
"index": 4974,
"question": "Consider a system of variables where each variable is defined as follows: p = l + 18; i = s + 1; t = i + 2; q = r + 5; o = y + 15; y = a + 17; a = b + 9; r = t + 1; e = o + 20; b = l + 3; l = 14; m = e + 14; s = p + 15. If l = 14, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"g": "q + 10", "e": "g + 19", "f": "e + 7", "r": "f + 2", "a": "r + 6", "b": "a + 3", "u": "q + 7", "h": "u + 9", "w": "h + 13", "n": "w + 12", "d": "n + 9", "j": "d + 1", "q": 18}, "premises": {"q": 18}, "target": "b"}, "answer": {"steps": [["a", "r + 6", "r + 9"], ["r", "f + 2", "f + 11"], ["f", "e + 7", "e + 18"], ["e", "g + 19", "g + 37"], ["g", "q + 10", "q + 47"], ["q", 18, "65"]], "target_var_name": "b", "target_value": 65, "value_dict": {"q": 18}, "is_reverse": true}}
| 4,975
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: b = a + 3; u = q + 7; h = u + 9; w = h + 13; a = r + 6; f = e + 7; e = g + 19; j = d + 1; r = f + 2; n = w + 12; q = 18; g = q + 10; d = n + 9. Given that q = 18, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 6 to b, which gives b = r + 9.\n2. Substitute r = f + 2 to b, which gives b = f + 11.\n3. Substitute f = e + 7 to b, which gives b = e + 18.\n4. Substitute e = g + 19 to b, which gives b = g + 37.\n5. Substitute g = q + 10 to b, which gives b = q + 47.\n6. Substitute q = 18 to b, which gives b = 65.\n\nThus, the final answer is b = \\boxed{65}.",
"index": 4975,
"question": "Suppose a collection of variables is related by the following definitions: b = a + 3; u = q + 7; h = u + 9; w = h + 13; a = r + 6; f = e + 7; e = g + 19; j = d + 1; r = f + 2; n = w + 12; q = 18; g = q + 10; d = n + 9. Given that q = 18, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"y": "d + 19", "u": "y + 16", "p": "u + 13", "t": "p + 7", "e": "t + 20", "w": "e + 6", "q": "d + 19", "s": "q + 13", "j": "s + 9", "m": "j + 3", "f": "m + 9", "o": "f + 4", "d": 13}, "premises": {"d": 13}, "target": "w"}, "answer": {"steps": [["e", "t + 20", "t + 26"], ["t", "p + 7", "p + 33"], ["p", "u + 13", "u + 46"], ["u", "y + 16", "y + 62"], ["y", "d + 19", "d + 81"], ["d", 13, "94"]], "target_var_name": "w", "target_value": 94, "value_dict": {"d": 13}, "is_reverse": true}}
| 4,976
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = 13; u = y + 16; y = d + 19; s = q + 13; p = u + 13; m = j + 3; o = f + 4; w = e + 6; q = d + 19; f = m + 9; t = p + 7; e = t + 20; j = s + 9. Given that d = 13, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 20 to w, which gives w = t + 26.\n2. Substitute t = p + 7 to w, which gives w = p + 33.\n3. Substitute p = u + 13 to w, which gives w = u + 46.\n4. Substitute u = y + 16 to w, which gives w = y + 62.\n5. Substitute y = d + 19 to w, which gives w = d + 81.\n6. Substitute d = 13 to w, which gives w = 94.\n\nThus, the final answer is w = \\boxed{94}.",
"index": 4976,
"question": "Suppose a collection of variables is related by the following definitions: d = 13; u = y + 16; y = d + 19; s = q + 13; p = u + 13; m = j + 3; o = f + 4; w = e + 6; q = d + 19; f = m + 9; t = p + 7; e = t + 20; j = s + 9. Given that d = 13, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"l": "a + 16", "w": "l + 4", "g": "w + 11", "x": "g + 19", "v": "x + 19", "s": "v + 2", "z": "a + 4", "m": "z + 9", "e": "m + 6", "i": "e + 19", "d": "i + 13", "k": "d + 13", "a": 3}, "premises": {"a": 3}, "target": "s"}, "answer": {"steps": [["v", "x + 19", "x + 21"], ["x", "g + 19", "g + 40"], ["g", "w + 11", "w + 51"], ["w", "l + 4", "l + 55"], ["l", "a + 16", "a + 71"], ["a", 3, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"a": 3}, "is_reverse": true}}
| 4,977
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 19; s = v + 2; d = i + 13; a = 3; e = m + 6; k = d + 13; m = z + 9; i = e + 19; x = g + 19; w = l + 4; g = w + 11; z = a + 4; l = a + 16. If a = 3, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 19 to s, which gives s = x + 21.\n2. Substitute x = g + 19 to s, which gives s = g + 40.\n3. Substitute g = w + 11 to s, which gives s = w + 51.\n4. Substitute w = l + 4 to s, which gives s = l + 55.\n5. Substitute l = a + 16 to s, which gives s = a + 71.\n6. Substitute a = 3 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 4977,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = x + 19; s = v + 2; d = i + 13; a = 3; e = m + 6; k = d + 13; m = z + 9; i = e + 19; x = g + 19; w = l + 4; g = w + 11; z = a + 4; l = a + 16. If a = 3, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"m": "y + 11", "v": "m + 18", "l": "v + 12", "r": "l + 18", "e": "r + 16", "o": "e + 18", "j": "y + 17", "d": "j + 10", "q": "d + 5", "b": "q + 19", "n": "b + 8", "u": "n + 17", "y": 7}, "premises": {"y": 7}, "target": "o"}, "answer": {"steps": [["e", "r + 16", "r + 34"], ["r", "l + 18", "l + 52"], ["l", "v + 12", "v + 64"], ["v", "m + 18", "m + 82"], ["m", "y + 11", "y + 93"], ["y", 7, "100"]], "target_var_name": "o", "target_value": 100, "value_dict": {"y": 7}, "is_reverse": true}}
| 4,978
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = v + 12; q = d + 5; v = m + 18; m = y + 11; n = b + 8; e = r + 16; r = l + 18; u = n + 17; j = y + 17; y = 7; b = q + 19; d = j + 10; o = e + 18. Given that y = 7, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 100,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 16 to o, which gives o = r + 34.\n2. Substitute r = l + 18 to o, which gives o = l + 52.\n3. Substitute l = v + 12 to o, which gives o = v + 64.\n4. Substitute v = m + 18 to o, which gives o = m + 82.\n5. Substitute m = y + 11 to o, which gives o = y + 93.\n6. Substitute y = 7 to o, which gives o = 100.\n\nThus, the final answer is o = \\boxed{100}.",
"index": 4978,
"question": "Suppose a collection of variables is related by the following definitions: l = v + 12; q = d + 5; v = m + 18; m = y + 11; n = b + 8; e = r + 16; r = l + 18; u = n + 17; j = y + 17; y = 7; b = q + 19; d = j + 10; o = e + 18. Given that y = 7, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 14", "p": "i + 10", "z": "p + 4", "r": "z + 17", "m": "r + 10", "f": "m + 4", "k": "u + 19", "s": "k + 2", "j": "s + 14", "w": "j + 1", "o": "w + 15", "t": "o + 17", "u": 13}, "premises": {"u": 13}, "target": "f"}, "answer": {"steps": [["m", "r + 10", "r + 14"], ["r", "z + 17", "z + 31"], ["z", "p + 4", "p + 35"], ["p", "i + 10", "i + 45"], ["i", "u + 14", "u + 59"], ["u", 13, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"u": 13}, "is_reverse": true}}
| 4,979
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = i + 10; u = 13; z = p + 4; m = r + 10; j = s + 14; o = w + 15; t = o + 17; f = m + 4; i = u + 14; s = k + 2; w = j + 1; r = z + 17; k = u + 19. If u = 13, determine the value of f.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 10 to f, which gives f = r + 14.\n2. Substitute r = z + 17 to f, which gives f = z + 31.\n3. Substitute z = p + 4 to f, which gives f = p + 35.\n4. Substitute p = i + 10 to f, which gives f = i + 45.\n5. Substitute i = u + 14 to f, which gives f = u + 59.\n6. Substitute u = 13 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 4979,
"question": "Consider a system of variables where each variable is defined as follows: p = i + 10; u = 13; z = p + 4; m = r + 10; j = s + 14; o = w + 15; t = o + 17; f = m + 4; i = u + 14; s = k + 2; w = j + 1; r = z + 17; k = u + 19. If u = 13, determine the value of f.",
"split": "train"
}
|
{"problem": {"rules": {"a": "z + 13", "k": "a + 12", "c": "k + 2", "e": "c + 18", "g": "e + 13", "u": "g + 20", "i": "z + 15", "x": "i + 1", "l": "x + 15", "t": "l + 11", "j": "t + 5", "r": "j + 18", "z": 12}, "premises": {"z": 12}, "target": "u"}, "answer": {"steps": [["g", "e + 13", "e + 33"], ["e", "c + 18", "c + 51"], ["c", "k + 2", "k + 53"], ["k", "a + 12", "a + 65"], ["a", "z + 13", "z + 78"], ["z", 12, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"z": 12}, "is_reverse": true}}
| 4,980
| 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 = i + 1; i = z + 15; u = g + 20; t = l + 11; c = k + 2; g = e + 13; a = z + 13; j = t + 5; r = j + 18; l = x + 15; k = a + 12; z = 12; e = c + 18. If z = 12, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 13 to u, which gives u = e + 33.\n2. Substitute e = c + 18 to u, which gives u = c + 51.\n3. Substitute c = k + 2 to u, which gives u = k + 53.\n4. Substitute k = a + 12 to u, which gives u = a + 65.\n5. Substitute a = z + 13 to u, which gives u = z + 78.\n6. Substitute z = 12 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 4980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = i + 1; i = z + 15; u = g + 20; t = l + 11; c = k + 2; g = e + 13; a = z + 13; j = t + 5; r = j + 18; l = x + 15; k = a + 12; z = 12; e = c + 18. If z = 12, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"j": "k + 1", "g": "j + 12", "b": "g + 9", "u": "b + 6", "o": "u + 20", "h": "o + 16", "p": "k + 20", "a": "p + 15", "z": "a + 2", "i": "z + 15", "c": "i + 15", "t": "c + 7", "k": 8}, "premises": {"k": 8}, "target": "h"}, "answer": {"steps": [["o", "u + 20", "u + 36"], ["u", "b + 6", "b + 42"], ["b", "g + 9", "g + 51"], ["g", "j + 12", "j + 63"], ["j", "k + 1", "k + 64"], ["k", 8, "72"]], "target_var_name": "h", "target_value": 72, "value_dict": {"k": 8}, "is_reverse": true}}
| 4,981
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: z = a + 2; c = i + 15; o = u + 20; b = g + 9; i = z + 15; j = k + 1; a = p + 15; k = 8; u = b + 6; p = k + 20; g = j + 12; h = o + 16; t = c + 7. Given that k = 8, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 72,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 20 to h, which gives h = u + 36.\n2. Substitute u = b + 6 to h, which gives h = b + 42.\n3. Substitute b = g + 9 to h, which gives h = g + 51.\n4. Substitute g = j + 12 to h, which gives h = j + 63.\n5. Substitute j = k + 1 to h, which gives h = k + 64.\n6. Substitute k = 8 to h, which gives h = 72.\n\nThus, the final answer is h = \\boxed{72}.",
"index": 4981,
"question": "Suppose a collection of variables is related by the following definitions: z = a + 2; c = i + 15; o = u + 20; b = g + 9; i = z + 15; j = k + 1; a = p + 15; k = 8; u = b + 6; p = k + 20; g = j + 12; h = o + 16; t = c + 7. Given that k = 8, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"g": "k + 20", "v": "g + 20", "h": "v + 8", "b": "h + 8", "m": "b + 10", "z": "m + 3", "s": "k + 17", "a": "s + 8", "c": "a + 17", "u": "c + 4", "w": "u + 4", "q": "w + 16", "k": 13}, "premises": {"k": 13}, "target": "z"}, "answer": {"steps": [["m", "b + 10", "b + 13"], ["b", "h + 8", "h + 21"], ["h", "v + 8", "v + 29"], ["v", "g + 20", "g + 49"], ["g", "k + 20", "k + 69"], ["k", 13, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"k": 13}, "is_reverse": true}}
| 4,982
| 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 = h + 8; h = v + 8; a = s + 8; z = m + 3; k = 13; m = b + 10; u = c + 4; s = k + 17; q = w + 16; w = u + 4; g = k + 20; c = a + 17; v = g + 20. If k = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 10 to z, which gives z = b + 13.\n2. Substitute b = h + 8 to z, which gives z = h + 21.\n3. Substitute h = v + 8 to z, which gives z = v + 29.\n4. Substitute v = g + 20 to z, which gives z = g + 49.\n5. Substitute g = k + 20 to z, which gives z = k + 69.\n6. Substitute k = 13 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 4982,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = h + 8; h = v + 8; a = s + 8; z = m + 3; k = 13; m = b + 10; u = c + 4; s = k + 17; q = w + 16; w = u + 4; g = k + 20; c = a + 17; v = g + 20. If k = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "w + 11", "n": "m + 4", "e": "n + 16", "r": "e + 5", "i": "r + 4", "h": "i + 9", "z": "w + 8", "u": "z + 13", "c": "u + 4", "a": "c + 17", "g": "a + 13", "q": "g + 7", "w": 17}, "premises": {"w": 17}, "target": "h"}, "answer": {"steps": [["i", "r + 4", "r + 13"], ["r", "e + 5", "e + 18"], ["e", "n + 16", "n + 34"], ["n", "m + 4", "m + 38"], ["m", "w + 11", "w + 49"], ["w", 17, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"w": 17}, "is_reverse": true}}
| 4,983
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = w + 11; h = i + 9; a = c + 17; i = r + 4; c = u + 4; g = a + 13; e = n + 16; q = g + 7; z = w + 8; r = e + 5; u = z + 13; w = 17; n = m + 4. Given that w = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = r + 4 to h, which gives h = r + 13.\n2. Substitute r = e + 5 to h, which gives h = e + 18.\n3. Substitute e = n + 16 to h, which gives h = n + 34.\n4. Substitute n = m + 4 to h, which gives h = m + 38.\n5. Substitute m = w + 11 to h, which gives h = w + 49.\n6. Substitute w = 17 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 4983,
"question": "Suppose a collection of variables is related by the following definitions: m = w + 11; h = i + 9; a = c + 17; i = r + 4; c = u + 4; g = a + 13; e = n + 16; q = g + 7; z = w + 8; r = e + 5; u = z + 13; w = 17; n = m + 4. Given that w = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"q": "x + 7", "v": "q + 7", "k": "v + 12", "w": "k + 9", "i": "w + 19", "n": "i + 19", "m": "x + 13", "u": "m + 2", "s": "u + 16", "d": "s + 5", "o": "d + 14", "p": "o + 2", "x": 5}, "premises": {"x": 5}, "target": "n"}, "answer": {"steps": [["i", "w + 19", "w + 38"], ["w", "k + 9", "k + 47"], ["k", "v + 12", "v + 59"], ["v", "q + 7", "q + 66"], ["q", "x + 7", "x + 73"], ["x", 5, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"x": 5}, "is_reverse": true}}
| 4,984
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: u = m + 2; x = 5; p = o + 2; v = q + 7; s = u + 16; q = x + 7; i = w + 19; m = x + 13; w = k + 9; n = i + 19; k = v + 12; o = d + 14; d = s + 5. Given that x = 5, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = w + 19 to n, which gives n = w + 38.\n2. Substitute w = k + 9 to n, which gives n = k + 47.\n3. Substitute k = v + 12 to n, which gives n = v + 59.\n4. Substitute v = q + 7 to n, which gives n = q + 66.\n5. Substitute q = x + 7 to n, which gives n = x + 73.\n6. Substitute x = 5 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 4984,
"question": "Suppose a collection of variables is related by the following definitions: u = m + 2; x = 5; p = o + 2; v = q + 7; s = u + 16; q = x + 7; i = w + 19; m = x + 13; w = k + 9; n = i + 19; k = v + 12; o = d + 14; d = s + 5. Given that x = 5, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "r + 20", "f": "c + 13", "k": "f + 12", "b": "k + 19", "n": "b + 3", "d": "n + 19", "j": "r + 18", "q": "j + 15", "o": "q + 20", "z": "o + 10", "w": "z + 6", "m": "w + 15", "r": 16}, "premises": {"r": 16}, "target": "d"}, "answer": {"steps": [["n", "b + 3", "b + 22"], ["b", "k + 19", "k + 41"], ["k", "f + 12", "f + 53"], ["f", "c + 13", "c + 66"], ["c", "r + 20", "r + 86"], ["r", 16, "102"]], "target_var_name": "d", "target_value": 102, "value_dict": {"r": 16}, "is_reverse": true}}
| 4,985
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 13; n = b + 3; o = q + 20; z = o + 10; b = k + 19; q = j + 15; d = n + 19; c = r + 20; r = 16; m = w + 15; w = z + 6; k = f + 12; j = r + 18. If r = 16, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 3 to d, which gives d = b + 22.\n2. Substitute b = k + 19 to d, which gives d = k + 41.\n3. Substitute k = f + 12 to d, which gives d = f + 53.\n4. Substitute f = c + 13 to d, which gives d = c + 66.\n5. Substitute c = r + 20 to d, which gives d = r + 86.\n6. Substitute r = 16 to d, which gives d = 102.\n\nThus, the final answer is d = \\boxed{102}.",
"index": 4985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = c + 13; n = b + 3; o = q + 20; z = o + 10; b = k + 19; q = j + 15; d = n + 19; c = r + 20; r = 16; m = w + 15; w = z + 6; k = f + 12; j = r + 18. If r = 16, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"l": "d + 20", "z": "l + 3", "u": "z + 4", "r": "u + 15", "a": "r + 13", "o": "a + 16", "k": "d + 17", "m": "k + 20", "f": "m + 15", "q": "f + 2", "c": "q + 19", "i": "c + 17", "d": 8}, "premises": {"d": 8}, "target": "o"}, "answer": {"steps": [["a", "r + 13", "r + 29"], ["r", "u + 15", "u + 44"], ["u", "z + 4", "z + 48"], ["z", "l + 3", "l + 51"], ["l", "d + 20", "d + 71"], ["d", 8, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"d": 8}, "is_reverse": true}}
| 4,986
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 20; f = m + 15; m = k + 20; i = c + 17; o = a + 16; k = d + 17; c = q + 19; q = f + 2; r = u + 15; z = l + 3; a = r + 13; u = z + 4; d = 8. If d = 8, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 13 to o, which gives o = r + 29.\n2. Substitute r = u + 15 to o, which gives o = u + 44.\n3. Substitute u = z + 4 to o, which gives o = z + 48.\n4. Substitute z = l + 3 to o, which gives o = l + 51.\n5. Substitute l = d + 20 to o, which gives o = d + 71.\n6. Substitute d = 8 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 4986,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 20; f = m + 15; m = k + 20; i = c + 17; o = a + 16; k = d + 17; c = q + 19; q = f + 2; r = u + 15; z = l + 3; a = r + 13; u = z + 4; d = 8. If d = 8, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"h": "u + 14", "o": "h + 1", "m": "o + 14", "v": "m + 18", "s": "v + 12", "t": "s + 14", "j": "u + 15", "y": "j + 12", "b": "y + 16", "g": "b + 10", "x": "g + 19", "q": "x + 20", "u": 13}, "premises": {"u": 13}, "target": "t"}, "answer": {"steps": [["s", "v + 12", "v + 26"], ["v", "m + 18", "m + 44"], ["m", "o + 14", "o + 58"], ["o", "h + 1", "h + 59"], ["h", "u + 14", "u + 73"], ["u", 13, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"u": 13}, "is_reverse": true}}
| 4,987
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = m + 18; m = o + 14; h = u + 14; g = b + 10; t = s + 14; j = u + 15; b = y + 16; u = 13; x = g + 19; y = j + 12; s = v + 12; o = h + 1; q = x + 20. Given that u = 13, find 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 s = v + 12 to t, which gives t = v + 26.\n2. Substitute v = m + 18 to t, which gives t = m + 44.\n3. Substitute m = o + 14 to t, which gives t = o + 58.\n4. Substitute o = h + 1 to t, which gives t = h + 59.\n5. Substitute h = u + 14 to t, which gives t = u + 73.\n6. Substitute u = 13 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 4987,
"question": "Suppose a collection of variables is related by the following definitions: v = m + 18; m = o + 14; h = u + 14; g = b + 10; t = s + 14; j = u + 15; b = y + 16; u = 13; x = g + 19; y = j + 12; s = v + 12; o = h + 1; q = x + 20. Given that u = 13, find the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"j": "m + 20", "f": "j + 3", "r": "f + 18", "s": "r + 4", "v": "s + 9", "p": "v + 2", "a": "m + 20", "k": "a + 17", "t": "k + 11", "u": "t + 4", "c": "u + 3", "x": "c + 11", "m": 19}, "premises": {"m": 19}, "target": "p"}, "answer": {"steps": [["v", "s + 9", "s + 11"], ["s", "r + 4", "r + 15"], ["r", "f + 18", "f + 33"], ["f", "j + 3", "j + 36"], ["j", "m + 20", "m + 56"], ["m", 19, "75"]], "target_var_name": "p", "target_value": 75, "value_dict": {"m": 19}, "is_reverse": true}}
| 4,988
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 11; s = r + 4; u = t + 4; v = s + 9; p = v + 2; j = m + 20; k = a + 17; f = j + 3; m = 19; t = k + 11; r = f + 18; c = u + 3; a = m + 20. Given that m = 19, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 9 to p, which gives p = s + 11.\n2. Substitute s = r + 4 to p, which gives p = r + 15.\n3. Substitute r = f + 18 to p, which gives p = f + 33.\n4. Substitute f = j + 3 to p, which gives p = j + 36.\n5. Substitute j = m + 20 to p, which gives p = m + 56.\n6. Substitute m = 19 to p, which gives p = 75.\n\nThus, the final answer is p = \\boxed{75}.",
"index": 4988,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 11; s = r + 4; u = t + 4; v = s + 9; p = v + 2; j = m + 20; k = a + 17; f = j + 3; m = 19; t = k + 11; r = f + 18; c = u + 3; a = m + 20. Given that m = 19, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"n": "p + 11", "u": "n + 2", "b": "u + 5", "t": "b + 4", "x": "t + 14", "i": "x + 8", "j": "p + 3", "k": "j + 15", "c": "k + 2", "l": "c + 16", "v": "l + 14", "h": "v + 1", "p": 8}, "premises": {"p": 8}, "target": "i"}, "answer": {"steps": [["x", "t + 14", "t + 22"], ["t", "b + 4", "b + 26"], ["b", "u + 5", "u + 31"], ["u", "n + 2", "n + 33"], ["n", "p + 11", "p + 44"], ["p", 8, "52"]], "target_var_name": "i", "target_value": 52, "value_dict": {"p": 8}, "is_reverse": true}}
| 4,989
| 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 = j + 15; i = x + 8; n = p + 11; j = p + 3; v = l + 14; c = k + 2; p = 8; h = v + 1; u = n + 2; b = u + 5; t = b + 4; x = t + 14; l = c + 16. If p = 8, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = t + 14 to i, which gives i = t + 22.\n2. Substitute t = b + 4 to i, which gives i = b + 26.\n3. Substitute b = u + 5 to i, which gives i = u + 31.\n4. Substitute u = n + 2 to i, which gives i = n + 33.\n5. Substitute n = p + 11 to i, which gives i = p + 44.\n6. Substitute p = 8 to i, which gives i = 52.\n\nThus, the final answer is i = \\boxed{52}.",
"index": 4989,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = j + 15; i = x + 8; n = p + 11; j = p + 3; v = l + 14; c = k + 2; p = 8; h = v + 1; u = n + 2; b = u + 5; t = b + 4; x = t + 14; l = c + 16. If p = 8, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"r": "s + 2", "k": "r + 5", "c": "k + 15", "o": "c + 12", "p": "o + 19", "u": "p + 18", "z": "s + 5", "i": "z + 3", "t": "i + 12", "x": "t + 13", "f": "x + 1", "e": "f + 11", "s": 17}, "premises": {"s": 17}, "target": "u"}, "answer": {"steps": [["p", "o + 19", "o + 37"], ["o", "c + 12", "c + 49"], ["c", "k + 15", "k + 64"], ["k", "r + 5", "r + 69"], ["r", "s + 2", "s + 71"], ["s", 17, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"s": 17}, "is_reverse": true}}
| 4,990
| 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 = 17; u = p + 18; f = x + 1; i = z + 3; r = s + 2; p = o + 19; z = s + 5; t = i + 12; c = k + 15; e = f + 11; o = c + 12; x = t + 13; k = r + 5. If s = 17, what is the resulting value of u?",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 19 to u, which gives u = o + 37.\n2. Substitute o = c + 12 to u, which gives u = c + 49.\n3. Substitute c = k + 15 to u, which gives u = k + 64.\n4. Substitute k = r + 5 to u, which gives u = r + 69.\n5. Substitute r = s + 2 to u, which gives u = s + 71.\n6. Substitute s = 17 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 4990,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 17; u = p + 18; f = x + 1; i = z + 3; r = s + 2; p = o + 19; z = s + 5; t = i + 12; c = k + 15; e = f + 11; o = c + 12; x = t + 13; k = r + 5. If s = 17, what is the resulting value of u?",
"split": "train"
}
|
{"problem": {"rules": {"d": "e + 14", "n": "d + 16", "a": "n + 11", "l": "a + 15", "q": "l + 13", "r": "q + 10", "u": "e + 19", "g": "u + 4", "v": "g + 16", "m": "v + 18", "t": "m + 12", "i": "t + 9", "e": 9}, "premises": {"e": 9}, "target": "r"}, "answer": {"steps": [["q", "l + 13", "l + 23"], ["l", "a + 15", "a + 38"], ["a", "n + 11", "n + 49"], ["n", "d + 16", "d + 65"], ["d", "e + 14", "e + 79"], ["e", 9, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"e": 9}, "is_reverse": true}}
| 4,991
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = l + 13; r = q + 10; g = u + 4; v = g + 16; i = t + 9; u = e + 19; m = v + 18; a = n + 11; t = m + 12; n = d + 16; l = a + 15; d = e + 14; e = 9. Given that e = 9, find the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 13 to r, which gives r = l + 23.\n2. Substitute l = a + 15 to r, which gives r = a + 38.\n3. Substitute a = n + 11 to r, which gives r = n + 49.\n4. Substitute n = d + 16 to r, which gives r = d + 65.\n5. Substitute d = e + 14 to r, which gives r = e + 79.\n6. Substitute e = 9 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 4991,
"question": "Suppose a collection of variables is related by the following definitions: q = l + 13; r = q + 10; g = u + 4; v = g + 16; i = t + 9; u = e + 19; m = v + 18; a = n + 11; t = m + 12; n = d + 16; l = a + 15; d = e + 14; e = 9. Given that e = 9, find the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"r": "a + 9", "t": "r + 15", "u": "t + 14", "l": "u + 11", "g": "l + 16", "x": "g + 18", "o": "a + 10", "p": "o + 14", "j": "p + 9", "w": "j + 18", "h": "w + 7", "e": "h + 17", "a": 9}, "premises": {"a": 9}, "target": "x"}, "answer": {"steps": [["g", "l + 16", "l + 34"], ["l", "u + 11", "u + 45"], ["u", "t + 14", "t + 59"], ["t", "r + 15", "r + 74"], ["r", "a + 9", "a + 83"], ["a", 9, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"a": 9}, "is_reverse": true}}
| 4,992
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 11; x = g + 18; u = t + 14; w = j + 18; p = o + 14; g = l + 16; j = p + 9; h = w + 7; a = 9; o = a + 10; r = a + 9; e = h + 17; t = r + 15. If a = 9, what is the resulting 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 g = l + 16 to x, which gives x = l + 34.\n2. Substitute l = u + 11 to x, which gives x = u + 45.\n3. Substitute u = t + 14 to x, which gives x = t + 59.\n4. Substitute t = r + 15 to x, which gives x = r + 74.\n5. Substitute r = a + 9 to x, which gives x = a + 83.\n6. Substitute a = 9 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 4992,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = u + 11; x = g + 18; u = t + 14; w = j + 18; p = o + 14; g = l + 16; j = p + 9; h = w + 7; a = 9; o = a + 10; r = a + 9; e = h + 17; t = r + 15. If a = 9, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"i": "n + 7", "g": "i + 10", "q": "g + 9", "u": "q + 18", "h": "u + 1", "k": "h + 12", "s": "n + 4", "m": "s + 17", "j": "m + 2", "w": "j + 18", "d": "w + 10", "z": "d + 2", "n": 6}, "premises": {"n": 6}, "target": "k"}, "answer": {"steps": [["h", "u + 1", "u + 13"], ["u", "q + 18", "q + 31"], ["q", "g + 9", "g + 40"], ["g", "i + 10", "i + 50"], ["i", "n + 7", "n + 57"], ["n", 6, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"n": 6}, "is_reverse": true}}
| 4,993
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = u + 1; i = n + 7; n = 6; s = n + 4; g = i + 10; d = w + 10; u = q + 18; w = j + 18; z = d + 2; m = s + 17; j = m + 2; q = g + 9; k = h + 12. Given that n = 6, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 1 to k, which gives k = u + 13.\n2. Substitute u = q + 18 to k, which gives k = q + 31.\n3. Substitute q = g + 9 to k, which gives k = g + 40.\n4. Substitute g = i + 10 to k, which gives k = i + 50.\n5. Substitute i = n + 7 to k, which gives k = n + 57.\n6. Substitute n = 6 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 4993,
"question": "Suppose a collection of variables is related by the following definitions: h = u + 1; i = n + 7; n = 6; s = n + 4; g = i + 10; d = w + 10; u = q + 18; w = j + 18; z = d + 2; m = s + 17; j = m + 2; q = g + 9; k = h + 12. Given that n = 6, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "v + 12", "b": "j + 19", "r": "b + 19", "k": "r + 6", "a": "k + 17", "o": "a + 11", "c": "v + 17", "z": "c + 11", "s": "z + 5", "g": "s + 7", "m": "g + 4", "l": "m + 14", "v": 18}, "premises": {"v": 18}, "target": "o"}, "answer": {"steps": [["a", "k + 17", "k + 28"], ["k", "r + 6", "r + 34"], ["r", "b + 19", "b + 53"], ["b", "j + 19", "j + 72"], ["j", "v + 12", "v + 84"], ["v", 18, "102"]], "target_var_name": "o", "target_value": 102, "value_dict": {"v": 18}, "is_reverse": true}}
| 4,994
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 12; s = z + 5; c = v + 17; v = 18; b = j + 19; l = m + 14; k = r + 6; z = c + 11; m = g + 4; a = k + 17; g = s + 7; r = b + 19; o = a + 11. If v = 18, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 102,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = k + 17 to o, which gives o = k + 28.\n2. Substitute k = r + 6 to o, which gives o = r + 34.\n3. Substitute r = b + 19 to o, which gives o = b + 53.\n4. Substitute b = j + 19 to o, which gives o = j + 72.\n5. Substitute j = v + 12 to o, which gives o = v + 84.\n6. Substitute v = 18 to o, which gives o = 102.\n\nThus, the final answer is o = \\boxed{102}.",
"index": 4994,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 12; s = z + 5; c = v + 17; v = 18; b = j + 19; l = m + 14; k = r + 6; z = c + 11; m = g + 4; a = k + 17; g = s + 7; r = b + 19; o = a + 11. If v = 18, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"x": "k + 20", "w": "x + 13", "e": "w + 7", "f": "e + 1", "n": "f + 16", "j": "n + 20", "a": "k + 18", "z": "a + 15", "s": "z + 4", "v": "s + 14", "t": "v + 11", "i": "t + 15", "k": 5}, "premises": {"k": 5}, "target": "j"}, "answer": {"steps": [["n", "f + 16", "f + 36"], ["f", "e + 1", "e + 37"], ["e", "w + 7", "w + 44"], ["w", "x + 13", "x + 57"], ["x", "k + 20", "k + 77"], ["k", 5, "82"]], "target_var_name": "j", "target_value": 82, "value_dict": {"k": 5}, "is_reverse": true}}
| 4,995
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = k + 18; e = w + 7; j = n + 20; n = f + 16; x = k + 20; k = 5; w = x + 13; f = e + 1; v = s + 14; t = v + 11; z = a + 15; s = z + 4; i = t + 15. Given that k = 5, find the value of j.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 16 to j, which gives j = f + 36.\n2. Substitute f = e + 1 to j, which gives j = e + 37.\n3. Substitute e = w + 7 to j, which gives j = w + 44.\n4. Substitute w = x + 13 to j, which gives j = x + 57.\n5. Substitute x = k + 20 to j, which gives j = k + 77.\n6. Substitute k = 5 to j, which gives j = 82.\n\nThus, the final answer is j = \\boxed{82}.",
"index": 4995,
"question": "Suppose a collection of variables is related by the following definitions: a = k + 18; e = w + 7; j = n + 20; n = f + 16; x = k + 20; k = 5; w = x + 13; f = e + 1; v = s + 14; t = v + 11; z = a + 15; s = z + 4; i = t + 15. Given that k = 5, find the value of j.",
"split": "train"
}
|
{"problem": {"rules": {"b": "q + 19", "a": "b + 14", "h": "a + 10", "y": "h + 20", "o": "y + 18", "r": "o + 5", "u": "q + 9", "p": "u + 5", "e": "p + 15", "k": "e + 20", "i": "k + 5", "v": "i + 15", "q": 8}, "premises": {"q": 8}, "target": "r"}, "answer": {"steps": [["o", "y + 18", "y + 23"], ["y", "h + 20", "h + 43"], ["h", "a + 10", "a + 53"], ["a", "b + 14", "b + 67"], ["b", "q + 19", "q + 86"], ["q", 8, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"q": 8}, "is_reverse": true}}
| 4,996
| 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 = 8; a = b + 14; u = q + 9; o = y + 18; b = q + 19; y = h + 20; i = k + 5; v = i + 15; e = p + 15; k = e + 20; r = o + 5; p = u + 5; h = a + 10. If q = 8, what is the resulting value of r?",
"role": "user"
}
] |
math
|
{
"ground_truth": 94,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 18 to r, which gives r = y + 23.\n2. Substitute y = h + 20 to r, which gives r = h + 43.\n3. Substitute h = a + 10 to r, which gives r = a + 53.\n4. Substitute a = b + 14 to r, which gives r = b + 67.\n5. Substitute b = q + 19 to r, which gives r = q + 86.\n6. Substitute q = 8 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 4996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 8; a = b + 14; u = q + 9; o = y + 18; b = q + 19; y = h + 20; i = k + 5; v = i + 15; e = p + 15; k = e + 20; r = o + 5; p = u + 5; h = a + 10. If q = 8, what is the resulting value of r?",
"split": "train"
}
|
{"problem": {"rules": {"k": "s + 17", "l": "k + 16", "n": "l + 2", "f": "n + 3", "u": "f + 10", "t": "u + 12", "c": "s + 5", "d": "c + 9", "h": "d + 15", "z": "h + 8", "e": "z + 1", "r": "e + 2", "s": 10}, "premises": {"s": 10}, "target": "t"}, "answer": {"steps": [["u", "f + 10", "f + 22"], ["f", "n + 3", "n + 25"], ["n", "l + 2", "l + 27"], ["l", "k + 16", "k + 43"], ["k", "s + 17", "s + 60"], ["s", 10, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"s": 10}, "is_reverse": true}}
| 4,997
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = 10; r = e + 2; e = z + 1; f = n + 3; h = d + 15; u = f + 10; t = u + 12; z = h + 8; c = s + 5; n = l + 2; d = c + 9; k = s + 17; l = k + 16. If s = 10, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = f + 10 to t, which gives t = f + 22.\n2. Substitute f = n + 3 to t, which gives t = n + 25.\n3. Substitute n = l + 2 to t, which gives t = l + 27.\n4. Substitute l = k + 16 to t, which gives t = k + 43.\n5. Substitute k = s + 17 to t, which gives t = s + 60.\n6. Substitute s = 10 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 4997,
"question": "Consider a system of variables where each variable is defined as follows: s = 10; r = e + 2; e = z + 1; f = n + 3; h = d + 15; u = f + 10; t = u + 12; z = h + 8; c = s + 5; n = l + 2; d = c + 9; k = s + 17; l = k + 16. If s = 10, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"k": "g + 7", "o": "k + 11", "d": "o + 10", "z": "d + 6", "f": "z + 12", "h": "f + 19", "r": "g + 6", "y": "r + 12", "p": "y + 10", "t": "p + 5", "i": "t + 17", "v": "i + 10", "g": 19}, "premises": {"g": 19}, "target": "h"}, "answer": {"steps": [["f", "z + 12", "z + 31"], ["z", "d + 6", "d + 37"], ["d", "o + 10", "o + 47"], ["o", "k + 11", "k + 58"], ["k", "g + 7", "g + 65"], ["g", 19, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"g": 19}, "is_reverse": true}}
| 4,998
| 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 = o + 10; v = i + 10; z = d + 6; r = g + 6; g = 19; y = r + 12; p = y + 10; f = z + 12; i = t + 17; t = p + 5; h = f + 19; k = g + 7; o = k + 11. If g = 19, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 84,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 12 to h, which gives h = z + 31.\n2. Substitute z = d + 6 to h, which gives h = d + 37.\n3. Substitute d = o + 10 to h, which gives h = o + 47.\n4. Substitute o = k + 11 to h, which gives h = k + 58.\n5. Substitute k = g + 7 to h, which gives h = g + 65.\n6. Substitute g = 19 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 4998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 10; v = i + 10; z = d + 6; r = g + 6; g = 19; y = r + 12; p = y + 10; f = z + 12; i = t + 17; t = p + 5; h = f + 19; k = g + 7; o = k + 11. If g = 19, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "j + 4", "k": "f + 7", "p": "k + 12", "m": "p + 19", "c": "m + 18", "s": "c + 11", "d": "j + 7", "g": "d + 5", "n": "g + 8", "r": "n + 20", "a": "r + 17", "w": "a + 19", "j": 17}, "premises": {"j": 17}, "target": "s"}, "answer": {"steps": [["c", "m + 18", "m + 29"], ["m", "p + 19", "p + 48"], ["p", "k + 12", "k + 60"], ["k", "f + 7", "f + 67"], ["f", "j + 4", "j + 71"], ["j", 17, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"j": 17}, "is_reverse": true}}
| 4,999
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 19; s = c + 11; f = j + 4; g = d + 5; j = 17; n = g + 8; m = p + 19; d = j + 7; c = m + 18; p = k + 12; a = r + 17; k = f + 7; r = n + 20. Given that j = 17, find the value of s.",
"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 + 18 to s, which gives s = m + 29.\n2. Substitute m = p + 19 to s, which gives s = p + 48.\n3. Substitute p = k + 12 to s, which gives s = k + 60.\n4. Substitute k = f + 7 to s, which gives s = f + 67.\n5. Substitute f = j + 4 to s, which gives s = j + 71.\n6. Substitute j = 17 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 4999,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 19; s = c + 11; f = j + 4; g = d + 5; j = 17; n = g + 8; m = p + 19; d = j + 7; c = m + 18; p = k + 12; a = r + 17; k = f + 7; r = n + 20. Given that j = 17, find the value of s.",
"split": "train"
}
|
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