meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"n": "m + 16", "u": "n + 10", "b": "u + 1", "g": "b + 4", "s": "g + 17", "p": "s + 4", "x": "m + 9", "l": "x + 2", "i": "l + 10", "y": "i + 9", "z": "y + 3", "f": "z + 15", "m": 20}, "premises": {"m": 20}, "target": "p"}, "answer": {"steps": [["s", "g + 17", "g + 21"], ["g", "b + 4", "b + 25"], ["b", "u + 1", "u + 26"], ["u", "n + 10", "n + 36"], ["n", "m + 16", "m + 52"], ["m", 20, "72"]], "target_var_name": "p", "target_value": 72, "value_dict": {"m": 20}, "is_reverse": true}} | 20,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = n + 10; y = i + 9; n = m + 16; l = x + 2; p = s + 4; f = z + 15; i = l + 10; x = m + 9; b = u + 1; m = 20; g = b + 4; z = y + 3; s = g + 17. Given that m = 20, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 17 to p, which gives p = g + 21.\n2. Substitute g = b + 4 to p, which gives p = b + 25.\n3. Substitute b = u + 1 to p, which gives p = u + 26.\n4. Substitute u = n + 10 to p, which gives p = n + 36.\n5. Substitute n = m + 16 to p, which gives p = m + 52.\n6. Substitute m = 20 to p, which gives p = 72.\n\nThus, the final answer is p = \\boxed{72}.",
"index": 20000,
"question": "Suppose a collection of variables is related by the following definitions: u = n + 10; y = i + 9; n = m + 16; l = x + 2; p = s + 4; f = z + 15; i = l + 10; x = m + 9; b = u + 1; m = 20; g = b + 4; z = y + 3; s = g + 17. Given that m = 20, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 12", "a": "u + 6", "g": "a + 9", "j": "g + 11", "e": "j + 3", "p": "e + 10", "o": "h + 17", "m": "o + 12", "w": "m + 6", "t": "w + 3", "r": "t + 2", "v": "r + 2", "h": 3}, "premises": {"h": 3}, "target": "p"}, "answer": {"steps": [["e", "j + 3", "j + 13"], ["j", "g + 11", "g + 24"], ["g", "a + 9", "a + 33"], ["a", "u + 6", "u + 39"], ["u", "h + 12", "h + 51"], ["h", 3, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"h": 3}, "is_reverse": true}} | 20,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 6; g = a + 9; t = w + 3; j = g + 11; o = h + 17; m = o + 12; h = 3; e = j + 3; v = r + 2; r = t + 2; w = m + 6; p = e + 10; u = h + 12. If h = 3, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 3 to p, which gives p = j + 13.\n2. Substitute j = g + 11 to p, which gives p = g + 24.\n3. Substitute g = a + 9 to p, which gives p = a + 33.\n4. Substitute a = u + 6 to p, which gives p = u + 39.\n5. Substitute u = h + 12 to p, which gives p = h + 51.\n6. Substitute h = 3 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 20001,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 6; g = a + 9; t = w + 3; j = g + 11; o = h + 17; m = o + 12; h = 3; e = j + 3; v = r + 2; r = t + 2; w = m + 6; p = e + 10; u = h + 12. If h = 3, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"b": "l + 14", "s": "b + 14", "i": "s + 18", "v": "i + 8", "q": "v + 8", "t": "q + 8", "z": "l + 18", "e": "z + 14", "o": "e + 20", "x": "o + 5", "j": "x + 14", "c": "j + 6", "l": 1}, "premises": {"l": 1}, "target": "t"}, "answer": {"steps": [["q", "v + 8", "v + 16"], ["v", "i + 8", "i + 24"], ["i", "s + 18", "s + 42"], ["s", "b + 14", "b + 56"], ["b", "l + 14", "l + 70"], ["l", 1, "71"]], "target_var_name": "t", "target_value": 71, "value_dict": {"l": 1}, "is_reverse": true}} | 20,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 14; i = s + 18; j = x + 14; s = b + 14; t = q + 8; v = i + 8; c = j + 6; l = 1; o = e + 20; z = l + 18; q = v + 8; x = o + 5; b = l + 14. Given that l = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 8 to t, which gives t = v + 16.\n2. Substitute v = i + 8 to t, which gives t = i + 24.\n3. Substitute i = s + 18 to t, which gives t = s + 42.\n4. Substitute s = b + 14 to t, which gives t = b + 56.\n5. Substitute b = l + 14 to t, which gives t = l + 70.\n6. Substitute l = 1 to t, which gives t = 71.\n\nThus, the final answer is t = \\boxed{71}.",
"index": 20002,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 14; i = s + 18; j = x + 14; s = b + 14; t = q + 8; v = i + 8; c = j + 6; l = 1; o = e + 20; z = l + 18; q = v + 8; x = o + 5; b = l + 14. Given that l = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 4", "x": "c + 14", "r": "x + 13", "a": "r + 12", "k": "a + 19", "i": "k + 2", "g": "s + 11", "p": "g + 19", "m": "p + 15", "f": "m + 5", "l": "f + 15", "z": "l + 19", "s": 6}, "premises": {"s": 6}, "target": "i"}, "answer": {"steps": [["k", "a + 19", "a + 21"], ["a", "r + 12", "r + 33"], ["r", "x + 13", "x + 46"], ["x", "c + 14", "c + 60"], ["c", "s + 4", "s + 64"], ["s", 6, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"s": 6}, "is_reverse": true}} | 20,003 | 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 = c + 14; g = s + 11; p = g + 19; z = l + 19; m = p + 15; s = 6; c = s + 4; a = r + 12; r = x + 13; l = f + 15; i = k + 2; f = m + 5; k = a + 19. If s = 6, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 19 to i, which gives i = a + 21.\n2. Substitute a = r + 12 to i, which gives i = r + 33.\n3. Substitute r = x + 13 to i, which gives i = x + 46.\n4. Substitute x = c + 14 to i, which gives i = c + 60.\n5. Substitute c = s + 4 to i, which gives i = s + 64.\n6. Substitute s = 6 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 20003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = c + 14; g = s + 11; p = g + 19; z = l + 19; m = p + 15; s = 6; c = s + 4; a = r + 12; r = x + 13; l = f + 15; i = k + 2; f = m + 5; k = a + 19. If s = 6, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 10", "t": "i + 4", "l": "t + 6", "a": "l + 4", "r": "a + 20", "s": "r + 12", "m": "z + 7", "u": "m + 1", "c": "u + 2", "d": "c + 15", "j": "d + 13", "k": "j + 18", "z": 3}, "premises": {"z": 3}, "target": "s"}, "answer": {"steps": [["r", "a + 20", "a + 32"], ["a", "l + 4", "l + 36"], ["l", "t + 6", "t + 42"], ["t", "i + 4", "i + 46"], ["i", "z + 10", "z + 56"], ["z", 3, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"z": 3}, "is_reverse": true}} | 20,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 4; m = z + 7; l = t + 6; s = r + 12; c = u + 2; j = d + 13; d = c + 15; u = m + 1; i = z + 10; t = i + 4; r = a + 20; k = j + 18; z = 3. Given that z = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 20 to s, which gives s = a + 32.\n2. Substitute a = l + 4 to s, which gives s = l + 36.\n3. Substitute l = t + 6 to s, which gives s = t + 42.\n4. Substitute t = i + 4 to s, which gives s = i + 46.\n5. Substitute i = z + 10 to s, which gives s = z + 56.\n6. Substitute z = 3 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 20004,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 4; m = z + 7; l = t + 6; s = r + 12; c = u + 2; j = d + 13; d = c + 15; u = m + 1; i = z + 10; t = i + 4; r = a + 20; k = j + 18; z = 3. Given that z = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 7", "a": "k + 4", "d": "a + 11", "h": "d + 15", "r": "h + 10", "o": "r + 3", "i": "x + 18", "v": "i + 8", "t": "v + 3", "s": "t + 16", "j": "s + 11", "y": "j + 16", "x": 3}, "premises": {"x": 3}, "target": "o"}, "answer": {"steps": [["r", "h + 10", "h + 13"], ["h", "d + 15", "d + 28"], ["d", "a + 11", "a + 39"], ["a", "k + 4", "k + 43"], ["k", "x + 7", "x + 50"], ["x", 3, "53"]], "target_var_name": "o", "target_value": 53, "value_dict": {"x": 3}, "is_reverse": true}} | 20,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 3; k = x + 7; t = v + 3; i = x + 18; j = s + 11; h = d + 15; o = r + 3; v = i + 8; s = t + 16; d = a + 11; r = h + 10; a = k + 4; y = j + 16. Given that x = 3, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 10 to o, which gives o = h + 13.\n2. Substitute h = d + 15 to o, which gives o = d + 28.\n3. Substitute d = a + 11 to o, which gives o = a + 39.\n4. Substitute a = k + 4 to o, which gives o = k + 43.\n5. Substitute k = x + 7 to o, which gives o = x + 50.\n6. Substitute x = 3 to o, which gives o = 53.\n\nThus, the final answer is o = \\boxed{53}.",
"index": 20005,
"question": "Suppose a collection of variables is related by the following definitions: x = 3; k = x + 7; t = v + 3; i = x + 18; j = s + 11; h = d + 15; o = r + 3; v = i + 8; s = t + 16; d = a + 11; r = h + 10; a = k + 4; y = j + 16. Given that x = 3, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"w": "d + 13", "o": "w + 7", "v": "o + 9", "q": "v + 15", "g": "q + 6", "h": "g + 10", "m": "d + 8", "n": "m + 5", "a": "n + 4", "k": "a + 19", "u": "k + 16", "t": "u + 15", "d": 5}, "premises": {"d": 5}, "target": "h"}, "answer": {"steps": [["g", "q + 6", "q + 16"], ["q", "v + 15", "v + 31"], ["v", "o + 9", "o + 40"], ["o", "w + 7", "w + 47"], ["w", "d + 13", "d + 60"], ["d", 5, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"d": 5}, "is_reverse": true}} | 20,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = n + 4; q = v + 15; k = a + 19; g = q + 6; m = d + 8; h = g + 10; d = 5; v = o + 9; w = d + 13; o = w + 7; n = m + 5; t = u + 15; u = k + 16. Given that d = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 6 to h, which gives h = q + 16.\n2. Substitute q = v + 15 to h, which gives h = v + 31.\n3. Substitute v = o + 9 to h, which gives h = o + 40.\n4. Substitute o = w + 7 to h, which gives h = w + 47.\n5. Substitute w = d + 13 to h, which gives h = d + 60.\n6. Substitute d = 5 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 20006,
"question": "Suppose a collection of variables is related by the following definitions: a = n + 4; q = v + 15; k = a + 19; g = q + 6; m = d + 8; h = g + 10; d = 5; v = o + 9; w = d + 13; o = w + 7; n = m + 5; t = u + 15; u = k + 16. Given that d = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 2", "b": "w + 18", "c": "b + 5", "a": "c + 12", "x": "a + 4", "f": "x + 7", "m": "q + 2", "h": "m + 9", "r": "h + 9", "i": "r + 7", "g": "i + 7", "n": "g + 18", "q": 3}, "premises": {"q": 3}, "target": "f"}, "answer": {"steps": [["x", "a + 4", "a + 11"], ["a", "c + 12", "c + 23"], ["c", "b + 5", "b + 28"], ["b", "w + 18", "w + 46"], ["w", "q + 2", "q + 48"], ["q", 3, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"q": 3}, "is_reverse": true}} | 20,007 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 3; i = r + 7; r = h + 9; m = q + 2; h = m + 9; x = a + 4; w = q + 2; b = w + 18; f = x + 7; a = c + 12; g = i + 7; c = b + 5; n = g + 18. If q = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 4 to f, which gives f = a + 11.\n2. Substitute a = c + 12 to f, which gives f = c + 23.\n3. Substitute c = b + 5 to f, which gives f = b + 28.\n4. Substitute b = w + 18 to f, which gives f = w + 46.\n5. Substitute w = q + 2 to f, which gives f = q + 48.\n6. Substitute q = 3 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 20007,
"question": "Consider a system of variables where each variable is defined as follows: q = 3; i = r + 7; r = h + 9; m = q + 2; h = m + 9; x = a + 4; w = q + 2; b = w + 18; f = x + 7; a = c + 12; g = i + 7; c = b + 5; n = g + 18. If q = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "q + 1", "r": "w + 15", "s": "r + 3", "f": "s + 17", "l": "f + 9", "v": "l + 6", "h": "q + 5", "c": "h + 20", "g": "c + 3", "k": "g + 14", "o": "k + 5", "e": "o + 11", "q": 1}, "premises": {"q": 1}, "target": "v"}, "answer": {"steps": [["l", "f + 9", "f + 15"], ["f", "s + 17", "s + 32"], ["s", "r + 3", "r + 35"], ["r", "w + 15", "w + 50"], ["w", "q + 1", "q + 51"], ["q", 1, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"q": 1}, "is_reverse": true}} | 20,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 20; r = w + 15; g = c + 3; s = r + 3; w = q + 1; q = 1; f = s + 17; h = q + 5; k = g + 14; l = f + 9; v = l + 6; o = k + 5; e = o + 11. If q = 1, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 9 to v, which gives v = f + 15.\n2. Substitute f = s + 17 to v, which gives v = s + 32.\n3. Substitute s = r + 3 to v, which gives v = r + 35.\n4. Substitute r = w + 15 to v, which gives v = w + 50.\n5. Substitute w = q + 1 to v, which gives v = q + 51.\n6. Substitute q = 1 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 20008,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = h + 20; r = w + 15; g = c + 3; s = r + 3; w = q + 1; q = 1; f = s + 17; h = q + 5; k = g + 14; l = f + 9; v = l + 6; o = k + 5; e = o + 11. If q = 1, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 4", "h": "j + 13", "m": "h + 9", "r": "m + 19", "f": "r + 7", "s": "f + 13", "i": "y + 4", "g": "i + 6", "x": "g + 20", "n": "x + 18", "e": "n + 8", "w": "e + 6", "y": 3}, "premises": {"y": 3}, "target": "s"}, "answer": {"steps": [["f", "r + 7", "r + 20"], ["r", "m + 19", "m + 39"], ["m", "h + 9", "h + 48"], ["h", "j + 13", "j + 61"], ["j", "y + 4", "y + 65"], ["y", 3, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"y": 3}, "is_reverse": true}} | 20,009 | 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 + 8; x = g + 20; f = r + 7; j = y + 4; r = m + 19; h = j + 13; y = 3; m = h + 9; s = f + 13; g = i + 6; w = e + 6; i = y + 4; n = x + 18. If y = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = r + 7 to s, which gives s = r + 20.\n2. Substitute r = m + 19 to s, which gives s = m + 39.\n3. Substitute m = h + 9 to s, which gives s = h + 48.\n4. Substitute h = j + 13 to s, which gives s = j + 61.\n5. Substitute j = y + 4 to s, which gives s = y + 65.\n6. Substitute y = 3 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 20009,
"question": "Consider a system of variables where each variable is defined as follows: e = n + 8; x = g + 20; f = r + 7; j = y + 4; r = m + 19; h = j + 13; y = 3; m = h + 9; s = f + 13; g = i + 6; w = e + 6; i = y + 4; n = x + 18. If y = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 10", "u": "l + 15", "m": "u + 20", "a": "m + 10", "f": "a + 17", "z": "f + 20", "e": "t + 20", "h": "e + 13", "i": "h + 17", "r": "i + 1", "k": "r + 2", "s": "k + 7", "t": 10}, "premises": {"t": 10}, "target": "z"}, "answer": {"steps": [["f", "a + 17", "a + 37"], ["a", "m + 10", "m + 47"], ["m", "u + 20", "u + 67"], ["u", "l + 15", "l + 82"], ["l", "t + 10", "t + 92"], ["t", 10, "102"]], "target_var_name": "z", "target_value": 102, "value_dict": {"t": 10}, "is_reverse": true}} | 20,010 | 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 = t + 10; f = a + 17; k = r + 2; a = m + 10; i = h + 17; m = u + 20; z = f + 20; t = 10; h = e + 13; s = k + 7; u = l + 15; e = t + 20; r = i + 1. If t = 10, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 17 to z, which gives z = a + 37.\n2. Substitute a = m + 10 to z, which gives z = m + 47.\n3. Substitute m = u + 20 to z, which gives z = u + 67.\n4. Substitute u = l + 15 to z, which gives z = l + 82.\n5. Substitute l = t + 10 to z, which gives z = t + 92.\n6. Substitute t = 10 to z, which gives z = 102.\n\nThus, the final answer is z = \\boxed{102}.",
"index": 20010,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 10; f = a + 17; k = r + 2; a = m + 10; i = h + 17; m = u + 20; z = f + 20; t = 10; h = e + 13; s = k + 7; u = l + 15; e = t + 20; r = i + 1. If t = 10, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 16", "q": "y + 5", "a": "q + 2", "j": "a + 15", "s": "j + 9", "l": "s + 4", "m": "b + 6", "i": "m + 15", "p": "i + 1", "v": "p + 12", "k": "v + 6", "g": "k + 5", "b": 14}, "premises": {"b": 14}, "target": "l"}, "answer": {"steps": [["s", "j + 9", "j + 13"], ["j", "a + 15", "a + 28"], ["a", "q + 2", "q + 30"], ["q", "y + 5", "y + 35"], ["y", "b + 16", "b + 51"], ["b", 14, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"b": 14}, "is_reverse": true}} | 20,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = m + 15; l = s + 4; g = k + 5; s = j + 9; v = p + 12; m = b + 6; q = y + 5; a = q + 2; y = b + 16; k = v + 6; p = i + 1; b = 14; j = a + 15. Given that b = 14, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = j + 9 to l, which gives l = j + 13.\n2. Substitute j = a + 15 to l, which gives l = a + 28.\n3. Substitute a = q + 2 to l, which gives l = q + 30.\n4. Substitute q = y + 5 to l, which gives l = y + 35.\n5. Substitute y = b + 16 to l, which gives l = b + 51.\n6. Substitute b = 14 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 20011,
"question": "Suppose a collection of variables is related by the following definitions: i = m + 15; l = s + 4; g = k + 5; s = j + 9; v = p + 12; m = b + 6; q = y + 5; a = q + 2; y = b + 16; k = v + 6; p = i + 1; b = 14; j = a + 15. Given that b = 14, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 7", "s": "j + 2", "c": "s + 5", "i": "c + 15", "t": "i + 13", "w": "t + 11", "u": "a + 9", "h": "u + 20", "f": "h + 3", "p": "f + 6", "l": "p + 20", "q": "l + 14", "a": 3}, "premises": {"a": 3}, "target": "w"}, "answer": {"steps": [["t", "i + 13", "i + 24"], ["i", "c + 15", "c + 39"], ["c", "s + 5", "s + 44"], ["s", "j + 2", "j + 46"], ["j", "a + 7", "a + 53"], ["a", 3, "56"]], "target_var_name": "w", "target_value": 56, "value_dict": {"a": 3}, "is_reverse": true}} | 20,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = f + 6; c = s + 5; s = j + 2; h = u + 20; f = h + 3; q = l + 14; i = c + 15; w = t + 11; l = p + 20; t = i + 13; a = 3; u = a + 9; j = a + 7. If a = 3, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 13 to w, which gives w = i + 24.\n2. Substitute i = c + 15 to w, which gives w = c + 39.\n3. Substitute c = s + 5 to w, which gives w = s + 44.\n4. Substitute s = j + 2 to w, which gives w = j + 46.\n5. Substitute j = a + 7 to w, which gives w = a + 53.\n6. Substitute a = 3 to w, which gives w = 56.\n\nThus, the final answer is w = \\boxed{56}.",
"index": 20012,
"question": "Consider a system of variables where each variable is defined as follows: p = f + 6; c = s + 5; s = j + 2; h = u + 20; f = h + 3; q = l + 14; i = c + 15; w = t + 11; l = p + 20; t = i + 13; a = 3; u = a + 9; j = a + 7. If a = 3, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 18", "f": "a + 2", "s": "f + 20", "u": "s + 19", "i": "u + 15", "w": "i + 7", "p": "j + 16", "h": "p + 10", "y": "h + 11", "t": "y + 16", "m": "t + 11", "q": "m + 2", "j": 4}, "premises": {"j": 4}, "target": "w"}, "answer": {"steps": [["i", "u + 15", "u + 22"], ["u", "s + 19", "s + 41"], ["s", "f + 20", "f + 61"], ["f", "a + 2", "a + 63"], ["a", "j + 18", "j + 81"], ["j", 4, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"j": 4}, "is_reverse": true}} | 20,013 | 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 = j + 16; m = t + 11; a = j + 18; j = 4; u = s + 19; i = u + 15; y = h + 11; t = y + 16; h = p + 10; s = f + 20; w = i + 7; q = m + 2; f = a + 2. If j = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = u + 15 to w, which gives w = u + 22.\n2. Substitute u = s + 19 to w, which gives w = s + 41.\n3. Substitute s = f + 20 to w, which gives w = f + 61.\n4. Substitute f = a + 2 to w, which gives w = a + 63.\n5. Substitute a = j + 18 to w, which gives w = j + 81.\n6. Substitute j = 4 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 20013,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 16; m = t + 11; a = j + 18; j = 4; u = s + 19; i = u + 15; y = h + 11; t = y + 16; h = p + 10; s = f + 20; w = i + 7; q = m + 2; f = a + 2. If j = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 2", "d": "q + 8", "s": "d + 9", "x": "s + 19", "y": "x + 11", "i": "y + 1", "e": "b + 14", "t": "e + 15", "j": "t + 8", "u": "j + 5", "a": "u + 16", "c": "a + 20", "b": 17}, "premises": {"b": 17}, "target": "i"}, "answer": {"steps": [["y", "x + 11", "x + 12"], ["x", "s + 19", "s + 31"], ["s", "d + 9", "d + 40"], ["d", "q + 8", "q + 48"], ["q", "b + 2", "b + 50"], ["b", 17, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"b": 17}, "is_reverse": true}} | 20,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 8; t = e + 15; d = q + 8; s = d + 9; x = s + 19; a = u + 16; y = x + 11; i = y + 1; q = b + 2; u = j + 5; b = 17; c = a + 20; e = b + 14. Given that b = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 11 to i, which gives i = x + 12.\n2. Substitute x = s + 19 to i, which gives i = s + 31.\n3. Substitute s = d + 9 to i, which gives i = d + 40.\n4. Substitute d = q + 8 to i, which gives i = q + 48.\n5. Substitute q = b + 2 to i, which gives i = b + 50.\n6. Substitute b = 17 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 20014,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 8; t = e + 15; d = q + 8; s = d + 9; x = s + 19; a = u + 16; y = x + 11; i = y + 1; q = b + 2; u = j + 5; b = 17; c = a + 20; e = b + 14. Given that b = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 12", "w": "c + 2", "o": "w + 15", "v": "o + 2", "u": "v + 18", "s": "u + 20", "d": "f + 12", "p": "d + 6", "b": "p + 12", "t": "b + 16", "z": "t + 17", "y": "z + 15", "f": 2}, "premises": {"f": 2}, "target": "s"}, "answer": {"steps": [["u", "v + 18", "v + 38"], ["v", "o + 2", "o + 40"], ["o", "w + 15", "w + 55"], ["w", "c + 2", "c + 57"], ["c", "f + 12", "f + 69"], ["f", 2, "71"]], "target_var_name": "s", "target_value": 71, "value_dict": {"f": 2}, "is_reverse": true}} | 20,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 17; v = o + 2; t = b + 16; o = w + 15; f = 2; d = f + 12; s = u + 20; y = z + 15; w = c + 2; p = d + 6; c = f + 12; u = v + 18; b = p + 12. Given that f = 2, find 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 u = v + 18 to s, which gives s = v + 38.\n2. Substitute v = o + 2 to s, which gives s = o + 40.\n3. Substitute o = w + 15 to s, which gives s = w + 55.\n4. Substitute w = c + 2 to s, which gives s = c + 57.\n5. Substitute c = f + 12 to s, which gives s = f + 69.\n6. Substitute f = 2 to s, which gives s = 71.\n\nThus, the final answer is s = \\boxed{71}.",
"index": 20015,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 17; v = o + 2; t = b + 16; o = w + 15; f = 2; d = f + 12; s = u + 20; y = z + 15; w = c + 2; p = d + 6; c = f + 12; u = v + 18; b = p + 12. Given that f = 2, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 8", "k": "d + 12", "l": "k + 1", "o": "l + 2", "p": "o + 9", "g": "p + 7", "e": "t + 10", "h": "e + 2", "i": "h + 18", "z": "i + 19", "x": "z + 6", "j": "x + 19", "t": 8}, "premises": {"t": 8}, "target": "g"}, "answer": {"steps": [["p", "o + 9", "o + 16"], ["o", "l + 2", "l + 18"], ["l", "k + 1", "k + 19"], ["k", "d + 12", "d + 31"], ["d", "t + 8", "t + 39"], ["t", 8, "47"]], "target_var_name": "g", "target_value": 47, "value_dict": {"t": 8}, "is_reverse": true}} | 20,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = o + 9; o = l + 2; j = x + 19; g = p + 7; h = e + 2; d = t + 8; l = k + 1; z = i + 19; e = t + 10; k = d + 12; i = h + 18; t = 8; x = z + 6. Given that t = 8, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 9 to g, which gives g = o + 16.\n2. Substitute o = l + 2 to g, which gives g = l + 18.\n3. Substitute l = k + 1 to g, which gives g = k + 19.\n4. Substitute k = d + 12 to g, which gives g = d + 31.\n5. Substitute d = t + 8 to g, which gives g = t + 39.\n6. Substitute t = 8 to g, which gives g = 47.\n\nThus, the final answer is g = \\boxed{47}.",
"index": 20016,
"question": "Suppose a collection of variables is related by the following definitions: p = o + 9; o = l + 2; j = x + 19; g = p + 7; h = e + 2; d = t + 8; l = k + 1; z = i + 19; e = t + 10; k = d + 12; i = h + 18; t = 8; x = z + 6. Given that t = 8, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 12", "p": "g + 14", "u": "p + 15", "t": "u + 8", "w": "t + 12", "y": "w + 9", "r": "i + 9", "v": "r + 9", "e": "v + 3", "z": "e + 3", "a": "z + 8", "k": "a + 5", "i": 2}, "premises": {"i": 2}, "target": "y"}, "answer": {"steps": [["w", "t + 12", "t + 21"], ["t", "u + 8", "u + 29"], ["u", "p + 15", "p + 44"], ["p", "g + 14", "g + 58"], ["g", "i + 12", "i + 70"], ["i", 2, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"i": 2}, "is_reverse": true}} | 20,017 | 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 = v + 3; a = z + 8; z = e + 3; i = 2; p = g + 14; k = a + 5; r = i + 9; u = p + 15; v = r + 9; g = i + 12; y = w + 9; w = t + 12; t = u + 8. If i = 2, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 12 to y, which gives y = t + 21.\n2. Substitute t = u + 8 to y, which gives y = u + 29.\n3. Substitute u = p + 15 to y, which gives y = p + 44.\n4. Substitute p = g + 14 to y, which gives y = g + 58.\n5. Substitute g = i + 12 to y, which gives y = i + 70.\n6. Substitute i = 2 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 20017,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = v + 3; a = z + 8; z = e + 3; i = 2; p = g + 14; k = a + 5; r = i + 9; u = p + 15; v = r + 9; g = i + 12; y = w + 9; w = t + 12; t = u + 8. If i = 2, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 6", "g": "f + 12", "c": "g + 3", "j": "c + 4", "n": "j + 16", "a": "n + 18", "k": "l + 18", "d": "k + 5", "w": "d + 12", "r": "w + 4", "z": "r + 11", "y": "z + 16", "l": 9}, "premises": {"l": 9}, "target": "a"}, "answer": {"steps": [["n", "j + 16", "j + 34"], ["j", "c + 4", "c + 38"], ["c", "g + 3", "g + 41"], ["g", "f + 12", "f + 53"], ["f", "l + 6", "l + 59"], ["l", 9, "68"]], "target_var_name": "a", "target_value": 68, "value_dict": {"l": 9}, "is_reverse": true}} | 20,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 3; l = 9; w = d + 12; f = l + 6; z = r + 11; n = j + 16; r = w + 4; k = l + 18; g = f + 12; j = c + 4; d = k + 5; a = n + 18; y = z + 16. If l = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 16 to a, which gives a = j + 34.\n2. Substitute j = c + 4 to a, which gives a = c + 38.\n3. Substitute c = g + 3 to a, which gives a = g + 41.\n4. Substitute g = f + 12 to a, which gives a = f + 53.\n5. Substitute f = l + 6 to a, which gives a = l + 59.\n6. Substitute l = 9 to a, which gives a = 68.\n\nThus, the final answer is a = \\boxed{68}.",
"index": 20018,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = g + 3; l = 9; w = d + 12; f = l + 6; z = r + 11; n = j + 16; r = w + 4; k = l + 18; g = f + 12; j = c + 4; d = k + 5; a = n + 18; y = z + 16. If l = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 5", "g": "n + 17", "s": "g + 3", "q": "s + 17", "m": "q + 1", "v": "m + 4", "u": "r + 14", "b": "u + 10", "e": "b + 16", "y": "e + 6", "p": "y + 7", "t": "p + 18", "r": 5}, "premises": {"r": 5}, "target": "v"}, "answer": {"steps": [["m", "q + 1", "q + 5"], ["q", "s + 17", "s + 22"], ["s", "g + 3", "g + 25"], ["g", "n + 17", "n + 42"], ["n", "r + 5", "r + 47"], ["r", 5, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"r": 5}, "is_reverse": true}} | 20,019 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = e + 6; u = r + 14; g = n + 17; r = 5; s = g + 3; t = p + 18; n = r + 5; e = b + 16; b = u + 10; v = m + 4; m = q + 1; q = s + 17; p = y + 7. Given that r = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = q + 1 to v, which gives v = q + 5.\n2. Substitute q = s + 17 to v, which gives v = s + 22.\n3. Substitute s = g + 3 to v, which gives v = g + 25.\n4. Substitute g = n + 17 to v, which gives v = n + 42.\n5. Substitute n = r + 5 to v, which gives v = r + 47.\n6. Substitute r = 5 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 20019,
"question": "Suppose a collection of variables is related by the following definitions: y = e + 6; u = r + 14; g = n + 17; r = 5; s = g + 3; t = p + 18; n = r + 5; e = b + 16; b = u + 10; v = m + 4; m = q + 1; q = s + 17; p = y + 7. Given that r = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 17", "d": "o + 9", "v": "d + 10", "x": "v + 19", "w": "x + 1", "l": "w + 2", "q": "h + 20", "u": "q + 19", "i": "u + 7", "n": "i + 17", "c": "n + 20", "e": "c + 20", "h": 13}, "premises": {"h": 13}, "target": "l"}, "answer": {"steps": [["w", "x + 1", "x + 3"], ["x", "v + 19", "v + 22"], ["v", "d + 10", "d + 32"], ["d", "o + 9", "o + 41"], ["o", "h + 17", "h + 58"], ["h", 13, "71"]], "target_var_name": "l", "target_value": 71, "value_dict": {"h": 13}, "is_reverse": true}} | 20,020 | 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 = 13; u = q + 19; e = c + 20; w = x + 1; d = o + 9; l = w + 2; n = i + 17; x = v + 19; q = h + 20; o = h + 17; i = u + 7; v = d + 10; c = n + 20. If h = 13, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 1 to l, which gives l = x + 3.\n2. Substitute x = v + 19 to l, which gives l = v + 22.\n3. Substitute v = d + 10 to l, which gives l = d + 32.\n4. Substitute d = o + 9 to l, which gives l = o + 41.\n5. Substitute o = h + 17 to l, which gives l = h + 58.\n6. Substitute h = 13 to l, which gives l = 71.\n\nThus, the final answer is l = \\boxed{71}.",
"index": 20020,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 13; u = q + 19; e = c + 20; w = x + 1; d = o + 9; l = w + 2; n = i + 17; x = v + 19; q = h + 20; o = h + 17; i = u + 7; v = d + 10; c = n + 20. If h = 13, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 13", "m": "u + 7", "f": "m + 13", "o": "f + 12", "n": "o + 9", "e": "n + 7", "x": "v + 20", "z": "x + 1", "s": "z + 19", "q": "s + 20", "k": "q + 2", "j": "k + 7", "v": 4}, "premises": {"v": 4}, "target": "e"}, "answer": {"steps": [["n", "o + 9", "o + 16"], ["o", "f + 12", "f + 28"], ["f", "m + 13", "m + 41"], ["m", "u + 7", "u + 48"], ["u", "v + 13", "v + 61"], ["v", 4, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"v": 4}, "is_reverse": true}} | 20,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = n + 7; o = f + 12; u = v + 13; q = s + 20; n = o + 9; m = u + 7; z = x + 1; v = 4; j = k + 7; s = z + 19; f = m + 13; k = q + 2; x = v + 20. Given that v = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 9 to e, which gives e = o + 16.\n2. Substitute o = f + 12 to e, which gives e = f + 28.\n3. Substitute f = m + 13 to e, which gives e = m + 41.\n4. Substitute m = u + 7 to e, which gives e = u + 48.\n5. Substitute u = v + 13 to e, which gives e = v + 61.\n6. Substitute v = 4 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 20021,
"question": "Suppose a collection of variables is related by the following definitions: e = n + 7; o = f + 12; u = v + 13; q = s + 20; n = o + 9; m = u + 7; z = x + 1; v = 4; j = k + 7; s = z + 19; f = m + 13; k = q + 2; x = v + 20. Given that v = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 16", "d": "b + 14", "y": "d + 16", "f": "y + 16", "o": "f + 17", "v": "o + 11", "z": "j + 5", "w": "z + 8", "m": "w + 20", "l": "m + 19", "h": "l + 9", "e": "h + 8", "j": 8}, "premises": {"j": 8}, "target": "v"}, "answer": {"steps": [["o", "f + 17", "f + 28"], ["f", "y + 16", "y + 44"], ["y", "d + 16", "d + 60"], ["d", "b + 14", "b + 74"], ["b", "j + 16", "j + 90"], ["j", 8, "98"]], "target_var_name": "v", "target_value": 98, "value_dict": {"j": 8}, "is_reverse": true}} | 20,022 | 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 = h + 8; m = w + 20; j = 8; b = j + 16; w = z + 8; d = b + 14; h = l + 9; y = d + 16; z = j + 5; o = f + 17; f = y + 16; l = m + 19; v = o + 11. If j = 8, what is the resulting 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 o = f + 17 to v, which gives v = f + 28.\n2. Substitute f = y + 16 to v, which gives v = y + 44.\n3. Substitute y = d + 16 to v, which gives v = d + 60.\n4. Substitute d = b + 14 to v, which gives v = b + 74.\n5. Substitute b = j + 16 to v, which gives v = j + 90.\n6. Substitute j = 8 to v, which gives v = 98.\n\nThus, the final answer is v = \\boxed{98}.",
"index": 20022,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = h + 8; m = w + 20; j = 8; b = j + 16; w = z + 8; d = b + 14; h = l + 9; y = d + 16; z = j + 5; o = f + 17; f = y + 16; l = m + 19; v = o + 11. If j = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 7", "t": "u + 13", "d": "t + 3", "k": "d + 16", "f": "k + 8", "x": "f + 13", "a": "g + 12", "y": "a + 12", "b": "y + 1", "l": "b + 13", "p": "l + 13", "v": "p + 9", "g": 5}, "premises": {"g": 5}, "target": "x"}, "answer": {"steps": [["f", "k + 8", "k + 21"], ["k", "d + 16", "d + 37"], ["d", "t + 3", "t + 40"], ["t", "u + 13", "u + 53"], ["u", "g + 7", "g + 60"], ["g", 5, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"g": 5}, "is_reverse": true}} | 20,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 12; x = f + 13; d = t + 3; v = p + 9; f = k + 8; u = g + 7; k = d + 16; g = 5; b = y + 1; a = g + 12; l = b + 13; t = u + 13; p = l + 13. If g = 5, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 8 to x, which gives x = k + 21.\n2. Substitute k = d + 16 to x, which gives x = d + 37.\n3. Substitute d = t + 3 to x, which gives x = t + 40.\n4. Substitute t = u + 13 to x, which gives x = u + 53.\n5. Substitute u = g + 7 to x, which gives x = g + 60.\n6. Substitute g = 5 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 20023,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 12; x = f + 13; d = t + 3; v = p + 9; f = k + 8; u = g + 7; k = d + 16; g = 5; b = y + 1; a = g + 12; l = b + 13; t = u + 13; p = l + 13. If g = 5, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 17", "a": "h + 16", "n": "a + 8", "g": "n + 16", "i": "g + 14", "t": "i + 8", "b": "w + 14", "x": "b + 16", "z": "x + 2", "c": "z + 17", "e": "c + 5", "m": "e + 6", "w": 9}, "premises": {"w": 9}, "target": "t"}, "answer": {"steps": [["i", "g + 14", "g + 22"], ["g", "n + 16", "n + 38"], ["n", "a + 8", "a + 46"], ["a", "h + 16", "h + 62"], ["h", "w + 17", "w + 79"], ["w", 9, "88"]], "target_var_name": "t", "target_value": 88, "value_dict": {"w": 9}, "is_reverse": true}} | 20,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = 9; e = c + 5; n = a + 8; i = g + 14; b = w + 14; m = e + 6; x = b + 16; g = n + 16; c = z + 17; t = i + 8; h = w + 17; z = x + 2; a = h + 16. If w = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = g + 14 to t, which gives t = g + 22.\n2. Substitute g = n + 16 to t, which gives t = n + 38.\n3. Substitute n = a + 8 to t, which gives t = a + 46.\n4. Substitute a = h + 16 to t, which gives t = h + 62.\n5. Substitute h = w + 17 to t, which gives t = w + 79.\n6. Substitute w = 9 to t, which gives t = 88.\n\nThus, the final answer is t = \\boxed{88}.",
"index": 20024,
"question": "Consider a system of variables where each variable is defined as follows: w = 9; e = c + 5; n = a + 8; i = g + 14; b = w + 14; m = e + 6; x = b + 16; g = n + 16; c = z + 17; t = i + 8; h = w + 17; z = x + 2; a = h + 16. If w = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 16", "p": "k + 18", "s": "p + 3", "i": "s + 13", "y": "i + 8", "d": "y + 10", "a": "n + 8", "g": "a + 17", "j": "g + 14", "r": "j + 15", "q": "r + 18", "l": "q + 13", "n": 19}, "premises": {"n": 19}, "target": "d"}, "answer": {"steps": [["y", "i + 8", "i + 18"], ["i", "s + 13", "s + 31"], ["s", "p + 3", "p + 34"], ["p", "k + 18", "k + 52"], ["k", "n + 16", "n + 68"], ["n", 19, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"n": 19}, "is_reverse": true}} | 20,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = y + 10; y = i + 8; q = r + 18; k = n + 16; j = g + 14; p = k + 18; l = q + 13; g = a + 17; a = n + 8; i = s + 13; s = p + 3; r = j + 15; n = 19. If n = 19, 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 y = i + 8 to d, which gives d = i + 18.\n2. Substitute i = s + 13 to d, which gives d = s + 31.\n3. Substitute s = p + 3 to d, which gives d = p + 34.\n4. Substitute p = k + 18 to d, which gives d = k + 52.\n5. Substitute k = n + 16 to d, which gives d = n + 68.\n6. Substitute n = 19 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 20025,
"question": "Consider a system of variables where each variable is defined as follows: d = y + 10; y = i + 8; q = r + 18; k = n + 16; j = g + 14; p = k + 18; l = q + 13; g = a + 17; a = n + 8; i = s + 13; s = p + 3; r = j + 15; n = 19. If n = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 10", "d": "v + 14", "z": "d + 3", "t": "z + 11", "e": "t + 11", "b": "e + 13", "y": "u + 2", "h": "y + 8", "q": "h + 1", "i": "q + 6", "f": "i + 16", "c": "f + 16", "u": 20}, "premises": {"u": 20}, "target": "b"}, "answer": {"steps": [["e", "t + 11", "t + 24"], ["t", "z + 11", "z + 35"], ["z", "d + 3", "d + 38"], ["d", "v + 14", "v + 52"], ["v", "u + 10", "u + 62"], ["u", 20, "82"]], "target_var_name": "b", "target_value": 82, "value_dict": {"u": 20}, "is_reverse": true}} | 20,026 | 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 = v + 14; q = h + 1; h = y + 8; t = z + 11; i = q + 6; c = f + 16; e = t + 11; u = 20; v = u + 10; y = u + 2; f = i + 16; b = e + 13; z = d + 3. If u = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 11 to b, which gives b = t + 24.\n2. Substitute t = z + 11 to b, which gives b = z + 35.\n3. Substitute z = d + 3 to b, which gives b = d + 38.\n4. Substitute d = v + 14 to b, which gives b = v + 52.\n5. Substitute v = u + 10 to b, which gives b = u + 62.\n6. Substitute u = 20 to b, which gives b = 82.\n\nThus, the final answer is b = \\boxed{82}.",
"index": 20026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 14; q = h + 1; h = y + 8; t = z + 11; i = q + 6; c = f + 16; e = t + 11; u = 20; v = u + 10; y = u + 2; f = i + 16; b = e + 13; z = d + 3. If u = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 20", "h": "n + 4", "y": "h + 8", "p": "y + 9", "l": "p + 9", "b": "l + 8", "w": "r + 18", "c": "w + 9", "z": "c + 17", "x": "z + 1", "g": "x + 12", "v": "g + 9", "r": 15}, "premises": {"r": 15}, "target": "b"}, "answer": {"steps": [["l", "p + 9", "p + 17"], ["p", "y + 9", "y + 26"], ["y", "h + 8", "h + 34"], ["h", "n + 4", "n + 38"], ["n", "r + 20", "r + 58"], ["r", 15, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"r": 15}, "is_reverse": true}} | 20,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 12; n = r + 20; z = c + 17; r = 15; h = n + 4; x = z + 1; w = r + 18; b = l + 8; l = p + 9; c = w + 9; y = h + 8; p = y + 9; v = g + 9. Given that r = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 9 to b, which gives b = p + 17.\n2. Substitute p = y + 9 to b, which gives b = y + 26.\n3. Substitute y = h + 8 to b, which gives b = h + 34.\n4. Substitute h = n + 4 to b, which gives b = n + 38.\n5. Substitute n = r + 20 to b, which gives b = r + 58.\n6. Substitute r = 15 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 20027,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 12; n = r + 20; z = c + 17; r = 15; h = n + 4; x = z + 1; w = r + 18; b = l + 8; l = p + 9; c = w + 9; y = h + 8; p = y + 9; v = g + 9. Given that r = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 1", "q": "t + 16", "v": "q + 9", "f": "v + 2", "m": "f + 1", "h": "m + 6", "p": "l + 20", "b": "p + 18", "n": "b + 7", "w": "n + 6", "e": "w + 13", "i": "e + 2", "l": 15}, "premises": {"l": 15}, "target": "h"}, "answer": {"steps": [["m", "f + 1", "f + 7"], ["f", "v + 2", "v + 9"], ["v", "q + 9", "q + 18"], ["q", "t + 16", "t + 34"], ["t", "l + 1", "l + 35"], ["l", 15, "50"]], "target_var_name": "h", "target_value": 50, "value_dict": {"l": 15}, "is_reverse": true}} | 20,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = b + 7; f = v + 2; v = q + 9; m = f + 1; i = e + 2; l = 15; p = l + 20; b = p + 18; h = m + 6; w = n + 6; e = w + 13; q = t + 16; t = l + 1. Given that l = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 1 to h, which gives h = f + 7.\n2. Substitute f = v + 2 to h, which gives h = v + 9.\n3. Substitute v = q + 9 to h, which gives h = q + 18.\n4. Substitute q = t + 16 to h, which gives h = t + 34.\n5. Substitute t = l + 1 to h, which gives h = l + 35.\n6. Substitute l = 15 to h, which gives h = 50.\n\nThus, the final answer is h = \\boxed{50}.",
"index": 20028,
"question": "Suppose a collection of variables is related by the following definitions: n = b + 7; f = v + 2; v = q + 9; m = f + 1; i = e + 2; l = 15; p = l + 20; b = p + 18; h = m + 6; w = n + 6; e = w + 13; q = t + 16; t = l + 1. Given that l = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 8", "b": "m + 10", "e": "b + 7", "k": "e + 5", "n": "k + 11", "x": "n + 8", "a": "s + 17", "o": "a + 20", "l": "o + 3", "v": "l + 20", "q": "v + 12", "f": "q + 3", "s": 18}, "premises": {"s": 18}, "target": "x"}, "answer": {"steps": [["n", "k + 11", "k + 19"], ["k", "e + 5", "e + 24"], ["e", "b + 7", "b + 31"], ["b", "m + 10", "m + 41"], ["m", "s + 8", "s + 49"], ["s", 18, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"s": 18}, "is_reverse": true}} | 20,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = m + 10; x = n + 8; s = 18; q = v + 12; a = s + 17; e = b + 7; n = k + 11; v = l + 20; l = o + 3; o = a + 20; f = q + 3; m = s + 8; k = e + 5. If s = 18, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 11 to x, which gives x = k + 19.\n2. Substitute k = e + 5 to x, which gives x = e + 24.\n3. Substitute e = b + 7 to x, which gives x = b + 31.\n4. Substitute b = m + 10 to x, which gives x = m + 41.\n5. Substitute m = s + 8 to x, which gives x = s + 49.\n6. Substitute s = 18 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 20029,
"question": "Consider a system of variables where each variable is defined as follows: b = m + 10; x = n + 8; s = 18; q = v + 12; a = s + 17; e = b + 7; n = k + 11; v = l + 20; l = o + 3; o = a + 20; f = q + 3; m = s + 8; k = e + 5. If s = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"g": "d + 11", "e": "g + 10", "l": "e + 4", "z": "l + 3", "j": "z + 11", "h": "j + 16", "i": "d + 2", "k": "i + 5", "t": "k + 15", "p": "t + 5", "o": "p + 6", "a": "o + 17", "d": 12}, "premises": {"d": 12}, "target": "h"}, "answer": {"steps": [["j", "z + 11", "z + 27"], ["z", "l + 3", "l + 30"], ["l", "e + 4", "e + 34"], ["e", "g + 10", "g + 44"], ["g", "d + 11", "d + 55"], ["d", 12, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"d": 12}, "is_reverse": true}} | 20,030 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = d + 11; p = t + 5; a = o + 17; o = p + 6; k = i + 5; t = k + 15; d = 12; i = d + 2; h = j + 16; e = g + 10; l = e + 4; j = z + 11; z = l + 3. If d = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 11 to h, which gives h = z + 27.\n2. Substitute z = l + 3 to h, which gives h = l + 30.\n3. Substitute l = e + 4 to h, which gives h = e + 34.\n4. Substitute e = g + 10 to h, which gives h = g + 44.\n5. Substitute g = d + 11 to h, which gives h = d + 55.\n6. Substitute d = 12 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 20030,
"question": "Consider a system of variables where each variable is defined as follows: g = d + 11; p = t + 5; a = o + 17; o = p + 6; k = i + 5; t = k + 15; d = 12; i = d + 2; h = j + 16; e = g + 10; l = e + 4; j = z + 11; z = l + 3. If d = 12, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 2", "y": "n + 3", "t": "y + 11", "b": "t + 18", "i": "b + 9", "d": "i + 19", "j": "u + 11", "x": "j + 7", "c": "x + 19", "a": "c + 13", "g": "a + 14", "h": "g + 10", "u": 5}, "premises": {"u": 5}, "target": "d"}, "answer": {"steps": [["i", "b + 9", "b + 28"], ["b", "t + 18", "t + 46"], ["t", "y + 11", "y + 57"], ["y", "n + 3", "n + 60"], ["n", "u + 2", "u + 62"], ["u", 5, "67"]], "target_var_name": "d", "target_value": 67, "value_dict": {"u": 5}, "is_reverse": true}} | 20,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 14; i = b + 9; c = x + 19; h = g + 10; y = n + 3; d = i + 19; b = t + 18; n = u + 2; u = 5; a = c + 13; x = j + 7; t = y + 11; j = u + 11. If u = 5, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 9 to d, which gives d = b + 28.\n2. Substitute b = t + 18 to d, which gives d = t + 46.\n3. Substitute t = y + 11 to d, which gives d = y + 57.\n4. Substitute y = n + 3 to d, which gives d = n + 60.\n5. Substitute n = u + 2 to d, which gives d = u + 62.\n6. Substitute u = 5 to d, which gives d = 67.\n\nThus, the final answer is d = \\boxed{67}.",
"index": 20031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = a + 14; i = b + 9; c = x + 19; h = g + 10; y = n + 3; d = i + 19; b = t + 18; n = u + 2; u = 5; a = c + 13; x = j + 7; t = y + 11; j = u + 11. If u = 5, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 11", "n": "b + 14", "h": "n + 5", "s": "h + 19", "x": "s + 4", "y": "x + 19", "w": "q + 9", "u": "w + 6", "m": "u + 19", "j": "m + 5", "d": "j + 17", "v": "d + 5", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["x", "s + 4", "s + 23"], ["s", "h + 19", "h + 42"], ["h", "n + 5", "n + 47"], ["n", "b + 14", "b + 61"], ["b", "q + 11", "q + 72"], ["q", 8, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"q": 8}, "is_reverse": true}} | 20,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 19; d = j + 17; w = q + 9; n = b + 14; v = d + 5; q = 8; h = n + 5; s = h + 19; b = q + 11; u = w + 6; y = x + 19; j = m + 5; x = s + 4. Given that q = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 4 to y, which gives y = s + 23.\n2. Substitute s = h + 19 to y, which gives y = h + 42.\n3. Substitute h = n + 5 to y, which gives y = n + 47.\n4. Substitute n = b + 14 to y, which gives y = b + 61.\n5. Substitute b = q + 11 to y, which gives y = q + 72.\n6. Substitute q = 8 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 20032,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 19; d = j + 17; w = q + 9; n = b + 14; v = d + 5; q = 8; h = n + 5; s = h + 19; b = q + 11; u = w + 6; y = x + 19; j = m + 5; x = s + 4. Given that q = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 8", "k": "r + 2", "v": "k + 10", "n": "v + 6", "j": "n + 19", "s": "j + 12", "q": "e + 1", "x": "q + 4", "z": "x + 9", "p": "z + 14", "i": "p + 19", "c": "i + 13", "e": 3}, "premises": {"e": 3}, "target": "s"}, "answer": {"steps": [["j", "n + 19", "n + 31"], ["n", "v + 6", "v + 37"], ["v", "k + 10", "k + 47"], ["k", "r + 2", "r + 49"], ["r", "e + 8", "e + 57"], ["e", 3, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"e": 3}, "is_reverse": true}} | 20,033 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = e + 8; j = n + 19; n = v + 6; i = p + 19; x = q + 4; p = z + 14; c = i + 13; z = x + 9; k = r + 2; e = 3; s = j + 12; q = e + 1; v = k + 10. If e = 3, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 19 to s, which gives s = n + 31.\n2. Substitute n = v + 6 to s, which gives s = v + 37.\n3. Substitute v = k + 10 to s, which gives s = k + 47.\n4. Substitute k = r + 2 to s, which gives s = r + 49.\n5. Substitute r = e + 8 to s, which gives s = e + 57.\n6. Substitute e = 3 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 20033,
"question": "Consider a system of variables where each variable is defined as follows: r = e + 8; j = n + 19; n = v + 6; i = p + 19; x = q + 4; p = z + 14; c = i + 13; z = x + 9; k = r + 2; e = 3; s = j + 12; q = e + 1; v = k + 10. If e = 3, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 9", "r": "t + 5", "c": "r + 6", "i": "c + 18", "x": "i + 8", "y": "x + 16", "q": "z + 4", "l": "q + 11", "n": "l + 19", "h": "n + 2", "f": "h + 17", "e": "f + 12", "z": 4}, "premises": {"z": 4}, "target": "y"}, "answer": {"steps": [["x", "i + 8", "i + 24"], ["i", "c + 18", "c + 42"], ["c", "r + 6", "r + 48"], ["r", "t + 5", "t + 53"], ["t", "z + 9", "z + 62"], ["z", 4, "66"]], "target_var_name": "y", "target_value": 66, "value_dict": {"z": 4}, "is_reverse": true}} | 20,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 17; i = c + 18; l = q + 11; z = 4; t = z + 9; e = f + 12; y = x + 16; n = l + 19; x = i + 8; q = z + 4; r = t + 5; c = r + 6; h = n + 2. Given that z = 4, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 8 to y, which gives y = i + 24.\n2. Substitute i = c + 18 to y, which gives y = c + 42.\n3. Substitute c = r + 6 to y, which gives y = r + 48.\n4. Substitute r = t + 5 to y, which gives y = t + 53.\n5. Substitute t = z + 9 to y, which gives y = z + 62.\n6. Substitute z = 4 to y, which gives y = 66.\n\nThus, the final answer is y = \\boxed{66}.",
"index": 20034,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 17; i = c + 18; l = q + 11; z = 4; t = z + 9; e = f + 12; y = x + 16; n = l + 19; x = i + 8; q = z + 4; r = t + 5; c = r + 6; h = n + 2. Given that z = 4, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 6", "m": "g + 10", "b": "m + 20", "n": "b + 2", "d": "n + 17", "s": "d + 15", "i": "e + 3", "f": "i + 4", "r": "f + 7", "w": "r + 6", "c": "w + 10", "y": "c + 20", "e": 19}, "premises": {"e": 19}, "target": "s"}, "answer": {"steps": [["d", "n + 17", "n + 32"], ["n", "b + 2", "b + 34"], ["b", "m + 20", "m + 54"], ["m", "g + 10", "g + 64"], ["g", "e + 6", "e + 70"], ["e", 19, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"e": 19}, "is_reverse": true}} | 20,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = g + 10; c = w + 10; g = e + 6; w = r + 6; e = 19; d = n + 17; s = d + 15; b = m + 20; i = e + 3; r = f + 7; f = i + 4; y = c + 20; n = b + 2. If e = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = n + 17 to s, which gives s = n + 32.\n2. Substitute n = b + 2 to s, which gives s = b + 34.\n3. Substitute b = m + 20 to s, which gives s = m + 54.\n4. Substitute m = g + 10 to s, which gives s = g + 64.\n5. Substitute g = e + 6 to s, which gives s = e + 70.\n6. Substitute e = 19 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 20035,
"question": "Consider a system of variables where each variable is defined as follows: m = g + 10; c = w + 10; g = e + 6; w = r + 6; e = 19; d = n + 17; s = d + 15; b = m + 20; i = e + 3; r = f + 7; f = i + 4; y = c + 20; n = b + 2. If e = 19, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 5", "n": "j + 14", "g": "n + 5", "a": "g + 11", "v": "a + 19", "b": "v + 12", "s": "p + 17", "d": "s + 5", "y": "d + 10", "f": "y + 6", "h": "f + 20", "k": "h + 15", "p": 15}, "premises": {"p": 15}, "target": "b"}, "answer": {"steps": [["v", "a + 19", "a + 31"], ["a", "g + 11", "g + 42"], ["g", "n + 5", "n + 47"], ["n", "j + 14", "j + 61"], ["j", "p + 5", "p + 66"], ["p", 15, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"p": 15}, "is_reverse": true}} | 20,036 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = f + 20; d = s + 5; n = j + 14; g = n + 5; v = a + 19; j = p + 5; y = d + 10; k = h + 15; a = g + 11; b = v + 12; p = 15; f = y + 6; s = p + 17. Given that p = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 19 to b, which gives b = a + 31.\n2. Substitute a = g + 11 to b, which gives b = g + 42.\n3. Substitute g = n + 5 to b, which gives b = n + 47.\n4. Substitute n = j + 14 to b, which gives b = j + 61.\n5. Substitute j = p + 5 to b, which gives b = p + 66.\n6. Substitute p = 15 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 20036,
"question": "Suppose a collection of variables is related by the following definitions: h = f + 20; d = s + 5; n = j + 14; g = n + 5; v = a + 19; j = p + 5; y = d + 10; k = h + 15; a = g + 11; b = v + 12; p = 15; f = y + 6; s = p + 17. Given that p = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "s + 12", "v": "c + 14", "r": "v + 8", "x": "r + 6", "p": "x + 17", "n": "p + 9", "l": "s + 15", "q": "l + 9", "g": "q + 19", "i": "g + 7", "h": "i + 4", "j": "h + 16", "s": 7}, "premises": {"s": 7}, "target": "n"}, "answer": {"steps": [["p", "x + 17", "x + 26"], ["x", "r + 6", "r + 32"], ["r", "v + 8", "v + 40"], ["v", "c + 14", "c + 54"], ["c", "s + 12", "s + 66"], ["s", 7, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"s": 7}, "is_reverse": true}} | 20,037 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = g + 7; l = s + 15; p = x + 17; j = h + 16; n = p + 9; g = q + 19; x = r + 6; c = s + 12; r = v + 8; v = c + 14; s = 7; q = l + 9; h = i + 4. Given that s = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 17 to n, which gives n = x + 26.\n2. Substitute x = r + 6 to n, which gives n = r + 32.\n3. Substitute r = v + 8 to n, which gives n = v + 40.\n4. Substitute v = c + 14 to n, which gives n = c + 54.\n5. Substitute c = s + 12 to n, which gives n = s + 66.\n6. Substitute s = 7 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 20037,
"question": "Suppose a collection of variables is related by the following definitions: i = g + 7; l = s + 15; p = x + 17; j = h + 16; n = p + 9; g = q + 19; x = r + 6; c = s + 12; r = v + 8; v = c + 14; s = 7; q = l + 9; h = i + 4. Given that s = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 17", "r": "s + 8", "m": "r + 9", "u": "m + 9", "x": "u + 17", "f": "x + 13", "p": "a + 10", "e": "p + 5", "t": "e + 6", "o": "t + 20", "h": "o + 5", "g": "h + 11", "a": 4}, "premises": {"a": 4}, "target": "f"}, "answer": {"steps": [["x", "u + 17", "u + 30"], ["u", "m + 9", "m + 39"], ["m", "r + 9", "r + 48"], ["r", "s + 8", "s + 56"], ["s", "a + 17", "a + 73"], ["a", 4, "77"]], "target_var_name": "f", "target_value": 77, "value_dict": {"a": 4}, "is_reverse": true}} | 20,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = a + 10; e = p + 5; g = h + 11; a = 4; h = o + 5; f = x + 13; x = u + 17; t = e + 6; r = s + 8; m = r + 9; u = m + 9; o = t + 20; s = a + 17. If a = 4, 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 x = u + 17 to f, which gives f = u + 30.\n2. Substitute u = m + 9 to f, which gives f = m + 39.\n3. Substitute m = r + 9 to f, which gives f = r + 48.\n4. Substitute r = s + 8 to f, which gives f = s + 56.\n5. Substitute s = a + 17 to f, which gives f = a + 73.\n6. Substitute a = 4 to f, which gives f = 77.\n\nThus, the final answer is f = \\boxed{77}.",
"index": 20038,
"question": "Consider a system of variables where each variable is defined as follows: p = a + 10; e = p + 5; g = h + 11; a = 4; h = o + 5; f = x + 13; x = u + 17; t = e + 6; r = s + 8; m = r + 9; u = m + 9; o = t + 20; s = a + 17. If a = 4, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 14", "j": "r + 12", "y": "j + 17", "h": "y + 14", "i": "h + 14", "n": "i + 18", "o": "a + 11", "p": "o + 20", "q": "p + 1", "g": "q + 6", "l": "g + 13", "d": "l + 6", "a": 17}, "premises": {"a": 17}, "target": "n"}, "answer": {"steps": [["i", "h + 14", "h + 32"], ["h", "y + 14", "y + 46"], ["y", "j + 17", "j + 63"], ["j", "r + 12", "r + 75"], ["r", "a + 14", "a + 89"], ["a", 17, "106"]], "target_var_name": "n", "target_value": 106, "value_dict": {"a": 17}, "is_reverse": true}} | 20,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 1; j = r + 12; d = l + 6; n = i + 18; h = y + 14; i = h + 14; y = j + 17; o = a + 11; a = 17; l = g + 13; g = q + 6; p = o + 20; r = a + 14. Given that a = 17, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 106,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 14 to n, which gives n = h + 32.\n2. Substitute h = y + 14 to n, which gives n = y + 46.\n3. Substitute y = j + 17 to n, which gives n = j + 63.\n4. Substitute j = r + 12 to n, which gives n = r + 75.\n5. Substitute r = a + 14 to n, which gives n = a + 89.\n6. Substitute a = 17 to n, which gives n = 106.\n\nThus, the final answer is n = \\boxed{106}.",
"index": 20039,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 1; j = r + 12; d = l + 6; n = i + 18; h = y + 14; i = h + 14; y = j + 17; o = a + 11; a = 17; l = g + 13; g = q + 6; p = o + 20; r = a + 14. Given that a = 17, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 12", "x": "z + 6", "e": "x + 5", "k": "e + 11", "v": "k + 12", "l": "v + 15", "a": "s + 13", "g": "a + 4", "c": "g + 4", "o": "c + 4", "n": "o + 17", "y": "n + 18", "s": 15}, "premises": {"s": 15}, "target": "l"}, "answer": {"steps": [["v", "k + 12", "k + 27"], ["k", "e + 11", "e + 38"], ["e", "x + 5", "x + 43"], ["x", "z + 6", "z + 49"], ["z", "s + 12", "s + 61"], ["s", 15, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"s": 15}, "is_reverse": true}} | 20,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 13; z = s + 12; x = z + 6; c = g + 4; l = v + 15; k = e + 11; v = k + 12; s = 15; g = a + 4; n = o + 17; y = n + 18; o = c + 4; e = x + 5. If s = 15, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 12 to l, which gives l = k + 27.\n2. Substitute k = e + 11 to l, which gives l = e + 38.\n3. Substitute e = x + 5 to l, which gives l = x + 43.\n4. Substitute x = z + 6 to l, which gives l = z + 49.\n5. Substitute z = s + 12 to l, which gives l = s + 61.\n6. Substitute s = 15 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 20040,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 13; z = s + 12; x = z + 6; c = g + 4; l = v + 15; k = e + 11; v = k + 12; s = 15; g = a + 4; n = o + 17; y = n + 18; o = c + 4; e = x + 5. If s = 15, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 1", "z": "u + 20", "n": "z + 2", "p": "n + 4", "v": "p + 2", "a": "v + 4", "m": "y + 12", "c": "m + 17", "i": "c + 13", "g": "i + 2", "f": "g + 12", "h": "f + 6", "y": 14}, "premises": {"y": 14}, "target": "a"}, "answer": {"steps": [["v", "p + 2", "p + 6"], ["p", "n + 4", "n + 10"], ["n", "z + 2", "z + 12"], ["z", "u + 20", "u + 32"], ["u", "y + 1", "y + 33"], ["y", 14, "47"]], "target_var_name": "a", "target_value": 47, "value_dict": {"y": 14}, "is_reverse": true}} | 20,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = 14; v = p + 2; p = n + 4; f = g + 12; u = y + 1; i = c + 13; c = m + 17; n = z + 2; a = v + 4; g = i + 2; m = y + 12; z = u + 20; h = f + 6. If y = 14, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 2 to a, which gives a = p + 6.\n2. Substitute p = n + 4 to a, which gives a = n + 10.\n3. Substitute n = z + 2 to a, which gives a = z + 12.\n4. Substitute z = u + 20 to a, which gives a = u + 32.\n5. Substitute u = y + 1 to a, which gives a = y + 33.\n6. Substitute y = 14 to a, which gives a = 47.\n\nThus, the final answer is a = \\boxed{47}.",
"index": 20041,
"question": "Consider a system of variables where each variable is defined as follows: y = 14; v = p + 2; p = n + 4; f = g + 12; u = y + 1; i = c + 13; c = m + 17; n = z + 2; a = v + 4; g = i + 2; m = y + 12; z = u + 20; h = f + 6. If y = 14, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 16", "m": "s + 10", "r": "m + 5", "z": "r + 18", "k": "z + 20", "f": "k + 13", "q": "v + 2", "l": "q + 12", "x": "l + 20", "e": "x + 4", "c": "e + 6", "h": "c + 19", "v": 11}, "premises": {"v": 11}, "target": "f"}, "answer": {"steps": [["k", "z + 20", "z + 33"], ["z", "r + 18", "r + 51"], ["r", "m + 5", "m + 56"], ["m", "s + 10", "s + 66"], ["s", "v + 16", "v + 82"], ["v", 11, "93"]], "target_var_name": "f", "target_value": 93, "value_dict": {"v": 11}, "is_reverse": true}} | 20,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 18; c = e + 6; x = l + 20; q = v + 2; e = x + 4; s = v + 16; k = z + 20; r = m + 5; h = c + 19; v = 11; m = s + 10; f = k + 13; l = q + 12. If v = 11, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 20 to f, which gives f = z + 33.\n2. Substitute z = r + 18 to f, which gives f = r + 51.\n3. Substitute r = m + 5 to f, which gives f = m + 56.\n4. Substitute m = s + 10 to f, which gives f = s + 66.\n5. Substitute s = v + 16 to f, which gives f = v + 82.\n6. Substitute v = 11 to f, which gives f = 93.\n\nThus, the final answer is f = \\boxed{93}.",
"index": 20042,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 18; c = e + 6; x = l + 20; q = v + 2; e = x + 4; s = v + 16; k = z + 20; r = m + 5; h = c + 19; v = 11; m = s + 10; f = k + 13; l = q + 12. If v = 11, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "g + 6", "c": "t + 9", "o": "c + 12", "h": "o + 5", "z": "h + 1", "d": "z + 18", "e": "g + 12", "j": "e + 11", "a": "j + 5", "y": "a + 12", "p": "y + 3", "r": "p + 3", "g": 2}, "premises": {"g": 2}, "target": "d"}, "answer": {"steps": [["z", "h + 1", "h + 19"], ["h", "o + 5", "o + 24"], ["o", "c + 12", "c + 36"], ["c", "t + 9", "t + 45"], ["t", "g + 6", "g + 51"], ["g", 2, "53"]], "target_var_name": "d", "target_value": 53, "value_dict": {"g": 2}, "is_reverse": true}} | 20,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = a + 12; z = h + 1; h = o + 5; r = p + 3; d = z + 18; j = e + 11; o = c + 12; p = y + 3; g = 2; a = j + 5; c = t + 9; t = g + 6; e = g + 12. Given that g = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 1 to d, which gives d = h + 19.\n2. Substitute h = o + 5 to d, which gives d = o + 24.\n3. Substitute o = c + 12 to d, which gives d = c + 36.\n4. Substitute c = t + 9 to d, which gives d = t + 45.\n5. Substitute t = g + 6 to d, which gives d = g + 51.\n6. Substitute g = 2 to d, which gives d = 53.\n\nThus, the final answer is d = \\boxed{53}.",
"index": 20043,
"question": "Suppose a collection of variables is related by the following definitions: y = a + 12; z = h + 1; h = o + 5; r = p + 3; d = z + 18; j = e + 11; o = c + 12; p = y + 3; g = 2; a = j + 5; c = t + 9; t = g + 6; e = g + 12. Given that g = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 14", "c": "q + 8", "s": "c + 3", "p": "s + 11", "d": "p + 19", "h": "d + 18", "x": "k + 9", "f": "x + 8", "o": "f + 11", "r": "o + 4", "j": "r + 16", "a": "j + 15", "k": 11}, "premises": {"k": 11}, "target": "h"}, "answer": {"steps": [["d", "p + 19", "p + 37"], ["p", "s + 11", "s + 48"], ["s", "c + 3", "c + 51"], ["c", "q + 8", "q + 59"], ["q", "k + 14", "k + 73"], ["k", 11, "84"]], "target_var_name": "h", "target_value": 84, "value_dict": {"k": 11}, "is_reverse": true}} | 20,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 4; f = x + 8; q = k + 14; p = s + 11; x = k + 9; h = d + 18; a = j + 15; s = c + 3; k = 11; j = r + 16; o = f + 11; d = p + 19; c = q + 8. Given that k = 11, find the 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 d = p + 19 to h, which gives h = p + 37.\n2. Substitute p = s + 11 to h, which gives h = s + 48.\n3. Substitute s = c + 3 to h, which gives h = c + 51.\n4. Substitute c = q + 8 to h, which gives h = q + 59.\n5. Substitute q = k + 14 to h, which gives h = k + 73.\n6. Substitute k = 11 to h, which gives h = 84.\n\nThus, the final answer is h = \\boxed{84}.",
"index": 20044,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 4; f = x + 8; q = k + 14; p = s + 11; x = k + 9; h = d + 18; a = j + 15; s = c + 3; k = 11; j = r + 16; o = f + 11; d = p + 19; c = q + 8. Given that k = 11, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 13", "s": "i + 6", "c": "s + 7", "a": "c + 20", "n": "a + 1", "t": "n + 5", "k": "j + 20", "g": "k + 19", "x": "g + 11", "w": "x + 7", "h": "w + 4", "p": "h + 15", "j": 18}, "premises": {"j": 18}, "target": "t"}, "answer": {"steps": [["n", "a + 1", "a + 6"], ["a", "c + 20", "c + 26"], ["c", "s + 7", "s + 33"], ["s", "i + 6", "i + 39"], ["i", "j + 13", "j + 52"], ["j", 18, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"j": 18}, "is_reverse": true}} | 20,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 19; i = j + 13; t = n + 5; k = j + 20; h = w + 4; a = c + 20; s = i + 6; w = x + 7; n = a + 1; c = s + 7; x = g + 11; p = h + 15; j = 18. If j = 18, what is the resulting 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 n = a + 1 to t, which gives t = a + 6.\n2. Substitute a = c + 20 to t, which gives t = c + 26.\n3. Substitute c = s + 7 to t, which gives t = s + 33.\n4. Substitute s = i + 6 to t, which gives t = i + 39.\n5. Substitute i = j + 13 to t, which gives t = j + 52.\n6. Substitute j = 18 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 20045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = k + 19; i = j + 13; t = n + 5; k = j + 20; h = w + 4; a = c + 20; s = i + 6; w = x + 7; n = a + 1; c = s + 7; x = g + 11; p = h + 15; j = 18. If j = 18, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 15", "j": "h + 17", "x": "j + 3", "e": "x + 2", "w": "e + 1", "q": "w + 14", "d": "c + 14", "t": "d + 10", "o": "t + 1", "y": "o + 11", "l": "y + 7", "f": "l + 10", "c": 17}, "premises": {"c": 17}, "target": "q"}, "answer": {"steps": [["w", "e + 1", "e + 15"], ["e", "x + 2", "x + 17"], ["x", "j + 3", "j + 20"], ["j", "h + 17", "h + 37"], ["h", "c + 15", "c + 52"], ["c", 17, "69"]], "target_var_name": "q", "target_value": 69, "value_dict": {"c": 17}, "is_reverse": true}} | 20,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = j + 3; o = t + 1; c = 17; y = o + 11; f = l + 10; e = x + 2; d = c + 14; t = d + 10; j = h + 17; q = w + 14; w = e + 1; h = c + 15; l = y + 7. Given that c = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 1 to q, which gives q = e + 15.\n2. Substitute e = x + 2 to q, which gives q = x + 17.\n3. Substitute x = j + 3 to q, which gives q = j + 20.\n4. Substitute j = h + 17 to q, which gives q = h + 37.\n5. Substitute h = c + 15 to q, which gives q = c + 52.\n6. Substitute c = 17 to q, which gives q = 69.\n\nThus, the final answer is q = \\boxed{69}.",
"index": 20046,
"question": "Suppose a collection of variables is related by the following definitions: x = j + 3; o = t + 1; c = 17; y = o + 11; f = l + 10; e = x + 2; d = c + 14; t = d + 10; j = h + 17; q = w + 14; w = e + 1; h = c + 15; l = y + 7. Given that c = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 11", "v": "g + 12", "r": "v + 6", "y": "r + 17", "i": "y + 1", "f": "i + 18", "o": "s + 18", "j": "o + 14", "n": "j + 17", "c": "n + 5", "m": "c + 3", "t": "m + 16", "s": 18}, "premises": {"s": 18}, "target": "f"}, "answer": {"steps": [["i", "y + 1", "y + 19"], ["y", "r + 17", "r + 36"], ["r", "v + 6", "v + 42"], ["v", "g + 12", "g + 54"], ["g", "s + 11", "s + 65"], ["s", 18, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"s": 18}, "is_reverse": true}} | 20,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = j + 17; c = n + 5; g = s + 11; i = y + 1; o = s + 18; f = i + 18; j = o + 14; r = v + 6; v = g + 12; m = c + 3; t = m + 16; y = r + 17; s = 18. Given that s = 18, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 1 to f, which gives f = y + 19.\n2. Substitute y = r + 17 to f, which gives f = r + 36.\n3. Substitute r = v + 6 to f, which gives f = v + 42.\n4. Substitute v = g + 12 to f, which gives f = g + 54.\n5. Substitute g = s + 11 to f, which gives f = s + 65.\n6. Substitute s = 18 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 20047,
"question": "Suppose a collection of variables is related by the following definitions: n = j + 17; c = n + 5; g = s + 11; i = y + 1; o = s + 18; f = i + 18; j = o + 14; r = v + 6; v = g + 12; m = c + 3; t = m + 16; y = r + 17; s = 18. Given that s = 18, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 3", "q": "w + 4", "a": "q + 14", "d": "a + 14", "i": "d + 14", "j": "i + 7", "l": "u + 5", "p": "l + 20", "h": "p + 3", "n": "h + 12", "e": "n + 17", "b": "e + 13", "u": 10}, "premises": {"u": 10}, "target": "j"}, "answer": {"steps": [["i", "d + 14", "d + 21"], ["d", "a + 14", "a + 35"], ["a", "q + 14", "q + 49"], ["q", "w + 4", "w + 53"], ["w", "u + 3", "u + 56"], ["u", 10, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"u": 10}, "is_reverse": true}} | 20,048 | 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 = l + 20; d = a + 14; b = e + 13; u = 10; i = d + 14; l = u + 5; h = p + 3; e = n + 17; n = h + 12; a = q + 14; w = u + 3; q = w + 4; j = i + 7. If u = 10, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 14 to j, which gives j = d + 21.\n2. Substitute d = a + 14 to j, which gives j = a + 35.\n3. Substitute a = q + 14 to j, which gives j = q + 49.\n4. Substitute q = w + 4 to j, which gives j = w + 53.\n5. Substitute w = u + 3 to j, which gives j = u + 56.\n6. Substitute u = 10 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 20048,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = l + 20; d = a + 14; b = e + 13; u = 10; i = d + 14; l = u + 5; h = p + 3; e = n + 17; n = h + 12; a = q + 14; w = u + 3; q = w + 4; j = i + 7. If u = 10, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 13", "y": "n + 4", "v": "y + 14", "r": "v + 17", "m": "r + 5", "t": "m + 18", "i": "g + 3", "e": "i + 4", "x": "e + 1", "f": "x + 19", "s": "f + 18", "j": "s + 14", "g": 20}, "premises": {"g": 20}, "target": "t"}, "answer": {"steps": [["m", "r + 5", "r + 23"], ["r", "v + 17", "v + 40"], ["v", "y + 14", "y + 54"], ["y", "n + 4", "n + 58"], ["n", "g + 13", "g + 71"], ["g", 20, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"g": 20}, "is_reverse": true}} | 20,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 4; e = i + 4; n = g + 13; t = m + 18; m = r + 5; r = v + 17; i = g + 3; f = x + 19; x = e + 1; j = s + 14; s = f + 18; g = 20; v = y + 14. Given that g = 20, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 5 to t, which gives t = r + 23.\n2. Substitute r = v + 17 to t, which gives t = v + 40.\n3. Substitute v = y + 14 to t, which gives t = y + 54.\n4. Substitute y = n + 4 to t, which gives t = n + 58.\n5. Substitute n = g + 13 to t, which gives t = g + 71.\n6. Substitute g = 20 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 20049,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 4; e = i + 4; n = g + 13; t = m + 18; m = r + 5; r = v + 17; i = g + 3; f = x + 19; x = e + 1; j = s + 14; s = f + 18; g = 20; v = y + 14. Given that g = 20, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 18", "y": "z + 3", "p": "y + 10", "a": "p + 10", "r": "a + 9", "w": "r + 3", "g": "c + 11", "h": "g + 18", "e": "h + 19", "t": "e + 6", "s": "t + 2", "k": "s + 11", "c": 20}, "premises": {"c": 20}, "target": "w"}, "answer": {"steps": [["r", "a + 9", "a + 12"], ["a", "p + 10", "p + 22"], ["p", "y + 10", "y + 32"], ["y", "z + 3", "z + 35"], ["z", "c + 18", "c + 53"], ["c", 20, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"c": 20}, "is_reverse": true}} | 20,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = e + 6; a = p + 10; y = z + 3; p = y + 10; z = c + 18; g = c + 11; s = t + 2; k = s + 11; e = h + 19; r = a + 9; h = g + 18; c = 20; w = r + 3. Given that c = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 9 to w, which gives w = a + 12.\n2. Substitute a = p + 10 to w, which gives w = p + 22.\n3. Substitute p = y + 10 to w, which gives w = y + 32.\n4. Substitute y = z + 3 to w, which gives w = z + 35.\n5. Substitute z = c + 18 to w, which gives w = c + 53.\n6. Substitute c = 20 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 20050,
"question": "Suppose a collection of variables is related by the following definitions: t = e + 6; a = p + 10; y = z + 3; p = y + 10; z = c + 18; g = c + 11; s = t + 2; k = s + 11; e = h + 19; r = a + 9; h = g + 18; c = 20; w = r + 3. Given that c = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 14", "k": "d + 18", "j": "k + 1", "q": "j + 6", "c": "q + 10", "y": "c + 7", "r": "t + 19", "b": "r + 9", "u": "b + 10", "p": "u + 3", "l": "p + 8", "x": "l + 15", "t": 18}, "premises": {"t": 18}, "target": "y"}, "answer": {"steps": [["c", "q + 10", "q + 17"], ["q", "j + 6", "j + 23"], ["j", "k + 1", "k + 24"], ["k", "d + 18", "d + 42"], ["d", "t + 14", "t + 56"], ["t", 18, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"t": 18}, "is_reverse": true}} | 20,051 | 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 = p + 8; y = c + 7; d = t + 14; q = j + 6; x = l + 15; j = k + 1; t = 18; c = q + 10; k = d + 18; r = t + 19; b = r + 9; u = b + 10; p = u + 3. If t = 18, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 10 to y, which gives y = q + 17.\n2. Substitute q = j + 6 to y, which gives y = j + 23.\n3. Substitute j = k + 1 to y, which gives y = k + 24.\n4. Substitute k = d + 18 to y, which gives y = d + 42.\n5. Substitute d = t + 14 to y, which gives y = t + 56.\n6. Substitute t = 18 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 20051,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = p + 8; y = c + 7; d = t + 14; q = j + 6; x = l + 15; j = k + 1; t = 18; c = q + 10; k = d + 18; r = t + 19; b = r + 9; u = b + 10; p = u + 3. If t = 18, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 19", "a": "m + 6", "s": "a + 13", "o": "s + 6", "j": "o + 5", "e": "j + 3", "c": "h + 5", "d": "c + 9", "u": "d + 13", "v": "u + 10", "q": "v + 1", "l": "q + 19", "h": 4}, "premises": {"h": 4}, "target": "e"}, "answer": {"steps": [["j", "o + 5", "o + 8"], ["o", "s + 6", "s + 14"], ["s", "a + 13", "a + 27"], ["a", "m + 6", "m + 33"], ["m", "h + 19", "h + 52"], ["h", 4, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"h": 4}, "is_reverse": true}} | 20,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 13; q = v + 1; v = u + 10; d = c + 9; e = j + 3; j = o + 5; o = s + 6; a = m + 6; c = h + 5; m = h + 19; h = 4; l = q + 19; u = d + 13. If h = 4, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 5 to e, which gives e = o + 8.\n2. Substitute o = s + 6 to e, which gives e = s + 14.\n3. Substitute s = a + 13 to e, which gives e = a + 27.\n4. Substitute a = m + 6 to e, which gives e = m + 33.\n5. Substitute m = h + 19 to e, which gives e = h + 52.\n6. Substitute h = 4 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 20052,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 13; q = v + 1; v = u + 10; d = c + 9; e = j + 3; j = o + 5; o = s + 6; a = m + 6; c = h + 5; m = h + 19; h = 4; l = q + 19; u = d + 13. If h = 4, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 12", "u": "z + 6", "k": "u + 7", "c": "k + 8", "v": "c + 19", "h": "v + 20", "f": "s + 12", "d": "f + 18", "y": "d + 14", "e": "y + 6", "p": "e + 18", "q": "p + 18", "s": 2}, "premises": {"s": 2}, "target": "h"}, "answer": {"steps": [["v", "c + 19", "c + 39"], ["c", "k + 8", "k + 47"], ["k", "u + 7", "u + 54"], ["u", "z + 6", "z + 60"], ["z", "s + 12", "s + 72"], ["s", 2, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"s": 2}, "is_reverse": true}} | 20,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 7; c = k + 8; e = y + 6; u = z + 6; f = s + 12; h = v + 20; s = 2; d = f + 18; q = p + 18; y = d + 14; z = s + 12; p = e + 18; v = c + 19. If s = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 19 to h, which gives h = c + 39.\n2. Substitute c = k + 8 to h, which gives h = k + 47.\n3. Substitute k = u + 7 to h, which gives h = u + 54.\n4. Substitute u = z + 6 to h, which gives h = z + 60.\n5. Substitute z = s + 12 to h, which gives h = s + 72.\n6. Substitute s = 2 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 20053,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 7; c = k + 8; e = y + 6; u = z + 6; f = s + 12; h = v + 20; s = 2; d = f + 18; q = p + 18; y = d + 14; z = s + 12; p = e + 18; v = c + 19. If s = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 6", "s": "a + 8", "m": "s + 13", "z": "m + 5", "l": "z + 16", "u": "l + 10", "e": "h + 16", "x": "e + 2", "k": "x + 20", "f": "k + 9", "j": "f + 2", "g": "j + 13", "h": 4}, "premises": {"h": 4}, "target": "u"}, "answer": {"steps": [["l", "z + 16", "z + 26"], ["z", "m + 5", "m + 31"], ["m", "s + 13", "s + 44"], ["s", "a + 8", "a + 52"], ["a", "h + 6", "h + 58"], ["h", 4, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"h": 4}, "is_reverse": true}} | 20,054 | 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 = 4; x = e + 2; g = j + 13; s = a + 8; f = k + 9; u = l + 10; a = h + 6; m = s + 13; e = h + 16; z = m + 5; l = z + 16; j = f + 2; k = x + 20. If h = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 16 to u, which gives u = z + 26.\n2. Substitute z = m + 5 to u, which gives u = m + 31.\n3. Substitute m = s + 13 to u, which gives u = s + 44.\n4. Substitute s = a + 8 to u, which gives u = a + 52.\n5. Substitute a = h + 6 to u, which gives u = h + 58.\n6. Substitute h = 4 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 20054,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 4; x = e + 2; g = j + 13; s = a + 8; f = k + 9; u = l + 10; a = h + 6; m = s + 13; e = h + 16; z = m + 5; l = z + 16; j = f + 2; k = x + 20. If h = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"j": "m + 20", "z": "j + 13", "p": "z + 11", "k": "p + 10", "h": "k + 7", "q": "h + 11", "i": "m + 2", "v": "i + 12", "a": "v + 19", "x": "a + 9", "u": "x + 15", "w": "u + 6", "m": 1}, "premises": {"m": 1}, "target": "q"}, "answer": {"steps": [["h", "k + 7", "k + 18"], ["k", "p + 10", "p + 28"], ["p", "z + 11", "z + 39"], ["z", "j + 13", "j + 52"], ["j", "m + 20", "m + 72"], ["m", 1, "73"]], "target_var_name": "q", "target_value": 73, "value_dict": {"m": 1}, "is_reverse": true}} | 20,055 | 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 = x + 15; w = u + 6; p = z + 11; j = m + 20; k = p + 10; z = j + 13; m = 1; a = v + 19; x = a + 9; v = i + 12; i = m + 2; q = h + 11; h = k + 7. If m = 1, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 7 to q, which gives q = k + 18.\n2. Substitute k = p + 10 to q, which gives q = p + 28.\n3. Substitute p = z + 11 to q, which gives q = z + 39.\n4. Substitute z = j + 13 to q, which gives q = j + 52.\n5. Substitute j = m + 20 to q, which gives q = m + 72.\n6. Substitute m = 1 to q, which gives q = 73.\n\nThus, the final answer is q = \\boxed{73}.",
"index": 20055,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = x + 15; w = u + 6; p = z + 11; j = m + 20; k = p + 10; z = j + 13; m = 1; a = v + 19; x = a + 9; v = i + 12; i = m + 2; q = h + 11; h = k + 7. If m = 1, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 10", "h": "t + 6", "l": "h + 7", "a": "l + 4", "u": "a + 11", "j": "u + 18", "s": "d + 8", "o": "s + 19", "c": "o + 10", "x": "c + 6", "k": "x + 4", "y": "k + 3", "d": 14}, "premises": {"d": 14}, "target": "j"}, "answer": {"steps": [["u", "a + 11", "a + 29"], ["a", "l + 4", "l + 33"], ["l", "h + 7", "h + 40"], ["h", "t + 6", "t + 46"], ["t", "d + 10", "d + 56"], ["d", 14, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"d": 14}, "is_reverse": true}} | 20,056 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = s + 19; y = k + 3; d = 14; x = c + 6; u = a + 11; t = d + 10; s = d + 8; l = h + 7; k = x + 4; a = l + 4; h = t + 6; j = u + 18; c = o + 10. If d = 14, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = a + 11 to j, which gives j = a + 29.\n2. Substitute a = l + 4 to j, which gives j = l + 33.\n3. Substitute l = h + 7 to j, which gives j = h + 40.\n4. Substitute h = t + 6 to j, which gives j = t + 46.\n5. Substitute t = d + 10 to j, which gives j = d + 56.\n6. Substitute d = 14 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 20056,
"question": "Consider a system of variables where each variable is defined as follows: o = s + 19; y = k + 3; d = 14; x = c + 6; u = a + 11; t = d + 10; s = d + 8; l = h + 7; k = x + 4; a = l + 4; h = t + 6; j = u + 18; c = o + 10. If d = 14, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 11", "a": "l + 3", "y": "a + 6", "s": "y + 1", "g": "s + 10", "n": "g + 12", "c": "j + 10", "d": "c + 8", "t": "d + 5", "f": "t + 7", "e": "f + 11", "v": "e + 4", "j": 6}, "premises": {"j": 6}, "target": "n"}, "answer": {"steps": [["g", "s + 10", "s + 22"], ["s", "y + 1", "y + 23"], ["y", "a + 6", "a + 29"], ["a", "l + 3", "l + 32"], ["l", "j + 11", "j + 43"], ["j", 6, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"j": 6}, "is_reverse": true}} | 20,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 10; e = f + 11; d = c + 8; v = e + 4; t = d + 5; y = a + 6; n = g + 12; f = t + 7; c = j + 10; a = l + 3; j = 6; l = j + 11; s = y + 1. If j = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = s + 10 to n, which gives n = s + 22.\n2. Substitute s = y + 1 to n, which gives n = y + 23.\n3. Substitute y = a + 6 to n, which gives n = a + 29.\n4. Substitute a = l + 3 to n, which gives n = l + 32.\n5. Substitute l = j + 11 to n, which gives n = j + 43.\n6. Substitute j = 6 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 20057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = s + 10; e = f + 11; d = c + 8; v = e + 4; t = d + 5; y = a + 6; n = g + 12; f = t + 7; c = j + 10; a = l + 3; j = 6; l = j + 11; s = y + 1. If j = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"p": "o + 8", "h": "p + 10", "a": "h + 3", "f": "a + 1", "w": "f + 9", "k": "w + 8", "d": "o + 19", "c": "d + 20", "u": "c + 19", "s": "u + 6", "g": "s + 7", "n": "g + 14", "o": 8}, "premises": {"o": 8}, "target": "k"}, "answer": {"steps": [["w", "f + 9", "f + 17"], ["f", "a + 1", "a + 18"], ["a", "h + 3", "h + 21"], ["h", "p + 10", "p + 31"], ["p", "o + 8", "o + 39"], ["o", 8, "47"]], "target_var_name": "k", "target_value": 47, "value_dict": {"o": 8}, "is_reverse": true}} | 20,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 7; a = h + 3; o = 8; s = u + 6; f = a + 1; k = w + 8; p = o + 8; d = o + 19; c = d + 20; w = f + 9; h = p + 10; n = g + 14; u = c + 19. If o = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 9 to k, which gives k = f + 17.\n2. Substitute f = a + 1 to k, which gives k = a + 18.\n3. Substitute a = h + 3 to k, which gives k = h + 21.\n4. Substitute h = p + 10 to k, which gives k = p + 31.\n5. Substitute p = o + 8 to k, which gives k = o + 39.\n6. Substitute o = 8 to k, which gives k = 47.\n\nThus, the final answer is k = \\boxed{47}.",
"index": 20058,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 7; a = h + 3; o = 8; s = u + 6; f = a + 1; k = w + 8; p = o + 8; d = o + 19; c = d + 20; w = f + 9; h = p + 10; n = g + 14; u = c + 19. If o = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 4", "o": "n + 19", "e": "o + 6", "k": "e + 10", "q": "k + 8", "z": "q + 15", "m": "v + 15", "a": "m + 2", "y": "a + 14", "j": "y + 18", "s": "j + 2", "f": "s + 10", "v": 20}, "premises": {"v": 20}, "target": "z"}, "answer": {"steps": [["q", "k + 8", "k + 23"], ["k", "e + 10", "e + 33"], ["e", "o + 6", "o + 39"], ["o", "n + 19", "n + 58"], ["n", "v + 4", "v + 62"], ["v", 20, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"v": 20}, "is_reverse": true}} | 20,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 19; y = a + 14; e = o + 6; n = v + 4; m = v + 15; f = s + 10; v = 20; s = j + 2; q = k + 8; j = y + 18; a = m + 2; z = q + 15; k = e + 10. If v = 20, 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 q = k + 8 to z, which gives z = k + 23.\n2. Substitute k = e + 10 to z, which gives z = e + 33.\n3. Substitute e = o + 6 to z, which gives z = o + 39.\n4. Substitute o = n + 19 to z, which gives z = n + 58.\n5. Substitute n = v + 4 to z, which gives z = v + 62.\n6. Substitute v = 20 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 20059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = n + 19; y = a + 14; e = o + 6; n = v + 4; m = v + 15; f = s + 10; v = 20; s = j + 2; q = k + 8; j = y + 18; a = m + 2; z = q + 15; k = e + 10. If v = 20, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "c + 15", "j": "a + 6", "o": "j + 8", "e": "o + 3", "q": "e + 3", "w": "q + 11", "v": "c + 16", "r": "v + 11", "y": "r + 2", "n": "y + 2", "m": "n + 5", "f": "m + 10", "c": 6}, "premises": {"c": 6}, "target": "w"}, "answer": {"steps": [["q", "e + 3", "e + 14"], ["e", "o + 3", "o + 17"], ["o", "j + 8", "j + 25"], ["j", "a + 6", "a + 31"], ["a", "c + 15", "c + 46"], ["c", 6, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"c": 6}, "is_reverse": true}} | 20,060 | 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 = n + 5; y = r + 2; w = q + 11; o = j + 8; n = y + 2; q = e + 3; e = o + 3; a = c + 15; v = c + 16; c = 6; j = a + 6; r = v + 11; f = m + 10. If c = 6, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 3 to w, which gives w = e + 14.\n2. Substitute e = o + 3 to w, which gives w = o + 17.\n3. Substitute o = j + 8 to w, which gives w = j + 25.\n4. Substitute j = a + 6 to w, which gives w = a + 31.\n5. Substitute a = c + 15 to w, which gives w = c + 46.\n6. Substitute c = 6 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 20060,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 5; y = r + 2; w = q + 11; o = j + 8; n = y + 2; q = e + 3; e = o + 3; a = c + 15; v = c + 16; c = 6; j = a + 6; r = v + 11; f = m + 10. If c = 6, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 14", "z": "n + 8", "f": "z + 4", "v": "f + 17", "g": "v + 3", "a": "g + 20", "q": "b + 9", "c": "q + 16", "o": "c + 15", "k": "o + 4", "l": "k + 7", "r": "l + 2", "b": 18}, "premises": {"b": 18}, "target": "a"}, "answer": {"steps": [["g", "v + 3", "v + 23"], ["v", "f + 17", "f + 40"], ["f", "z + 4", "z + 44"], ["z", "n + 8", "n + 52"], ["n", "b + 14", "b + 66"], ["b", 18, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"b": 18}, "is_reverse": true}} | 20,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 15; k = o + 4; b = 18; r = l + 2; c = q + 16; g = v + 3; n = b + 14; z = n + 8; a = g + 20; f = z + 4; l = k + 7; v = f + 17; q = b + 9. Given that b = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = v + 3 to a, which gives a = v + 23.\n2. Substitute v = f + 17 to a, which gives a = f + 40.\n3. Substitute f = z + 4 to a, which gives a = z + 44.\n4. Substitute z = n + 8 to a, which gives a = n + 52.\n5. Substitute n = b + 14 to a, which gives a = b + 66.\n6. Substitute b = 18 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 20061,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 15; k = o + 4; b = 18; r = l + 2; c = q + 16; g = v + 3; n = b + 14; z = n + 8; a = g + 20; f = z + 4; l = k + 7; v = f + 17; q = b + 9. Given that b = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "d + 12", "j": "c + 1", "p": "j + 11", "z": "p + 18", "v": "z + 15", "g": "v + 15", "f": "d + 4", "l": "f + 10", "q": "l + 9", "k": "q + 19", "m": "k + 8", "n": "m + 17", "d": 3}, "premises": {"d": 3}, "target": "g"}, "answer": {"steps": [["v", "z + 15", "z + 30"], ["z", "p + 18", "p + 48"], ["p", "j + 11", "j + 59"], ["j", "c + 1", "c + 60"], ["c", "d + 12", "d + 72"], ["d", 3, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"d": 3}, "is_reverse": true}} | 20,062 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 8; d = 3; p = j + 11; g = v + 15; c = d + 12; l = f + 10; q = l + 9; k = q + 19; j = c + 1; n = m + 17; f = d + 4; z = p + 18; v = z + 15. Given that d = 3, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 15 to g, which gives g = z + 30.\n2. Substitute z = p + 18 to g, which gives g = p + 48.\n3. Substitute p = j + 11 to g, which gives g = j + 59.\n4. Substitute j = c + 1 to g, which gives g = c + 60.\n5. Substitute c = d + 12 to g, which gives g = d + 72.\n6. Substitute d = 3 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 20062,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 8; d = 3; p = j + 11; g = v + 15; c = d + 12; l = f + 10; q = l + 9; k = q + 19; j = c + 1; n = m + 17; f = d + 4; z = p + 18; v = z + 15. Given that d = 3, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 14", "q": "p + 2", "f": "q + 1", "o": "f + 5", "a": "o + 12", "b": "a + 5", "w": "u + 18", "k": "w + 3", "x": "k + 12", "j": "x + 14", "g": "j + 2", "c": "g + 10", "u": 20}, "premises": {"u": 20}, "target": "b"}, "answer": {"steps": [["a", "o + 12", "o + 17"], ["o", "f + 5", "f + 22"], ["f", "q + 1", "q + 23"], ["q", "p + 2", "p + 25"], ["p", "u + 14", "u + 39"], ["u", 20, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"u": 20}, "is_reverse": true}} | 20,063 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 1; p = u + 14; x = k + 12; a = o + 12; c = g + 10; g = j + 2; w = u + 18; k = w + 3; u = 20; j = x + 14; o = f + 5; b = a + 5; q = p + 2. Given that u = 20, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 12 to b, which gives b = o + 17.\n2. Substitute o = f + 5 to b, which gives b = f + 22.\n3. Substitute f = q + 1 to b, which gives b = q + 23.\n4. Substitute q = p + 2 to b, which gives b = p + 25.\n5. Substitute p = u + 14 to b, which gives b = u + 39.\n6. Substitute u = 20 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 20063,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 1; p = u + 14; x = k + 12; a = o + 12; c = g + 10; g = j + 2; w = u + 18; k = w + 3; u = 20; j = x + 14; o = f + 5; b = a + 5; q = p + 2. Given that u = 20, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 1", "w": "g + 17", "h": "w + 6", "o": "h + 17", "t": "o + 8", "r": "t + 1", "q": "v + 13", "y": "q + 20", "i": "y + 12", "p": "i + 3", "s": "p + 11", "f": "s + 10", "v": 5}, "premises": {"v": 5}, "target": "r"}, "answer": {"steps": [["t", "o + 8", "o + 9"], ["o", "h + 17", "h + 26"], ["h", "w + 6", "w + 32"], ["w", "g + 17", "g + 49"], ["g", "v + 1", "v + 50"], ["v", 5, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"v": 5}, "is_reverse": true}} | 20,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 5; y = q + 20; i = y + 12; g = v + 1; r = t + 1; o = h + 17; w = g + 17; q = v + 13; f = s + 10; p = i + 3; h = w + 6; t = o + 8; s = p + 11. If v = 5, determine the 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 t = o + 8 to r, which gives r = o + 9.\n2. Substitute o = h + 17 to r, which gives r = h + 26.\n3. Substitute h = w + 6 to r, which gives r = w + 32.\n4. Substitute w = g + 17 to r, which gives r = g + 49.\n5. Substitute g = v + 1 to r, which gives r = v + 50.\n6. Substitute v = 5 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 20064,
"question": "Consider a system of variables where each variable is defined as follows: v = 5; y = q + 20; i = y + 12; g = v + 1; r = t + 1; o = h + 17; w = g + 17; q = v + 13; f = s + 10; p = i + 3; h = w + 6; t = o + 8; s = p + 11. If v = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "w + 5", "g": "r + 20", "b": "g + 7", "o": "b + 14", "s": "o + 18", "d": "s + 3", "p": "w + 10", "i": "p + 14", "v": "i + 11", "u": "v + 18", "e": "u + 6", "x": "e + 18", "w": 1}, "premises": {"w": 1}, "target": "d"}, "answer": {"steps": [["s", "o + 18", "o + 21"], ["o", "b + 14", "b + 35"], ["b", "g + 7", "g + 42"], ["g", "r + 20", "r + 62"], ["r", "w + 5", "w + 67"], ["w", 1, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"w": 1}, "is_reverse": true}} | 20,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 7; g = r + 20; p = w + 10; o = b + 14; v = i + 11; r = w + 5; w = 1; u = v + 18; x = e + 18; s = o + 18; e = u + 6; i = p + 14; d = s + 3. If w = 1, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 18 to d, which gives d = o + 21.\n2. Substitute o = b + 14 to d, which gives d = b + 35.\n3. Substitute b = g + 7 to d, which gives d = g + 42.\n4. Substitute g = r + 20 to d, which gives d = r + 62.\n5. Substitute r = w + 5 to d, which gives d = w + 67.\n6. Substitute w = 1 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 20065,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = g + 7; g = r + 20; p = w + 10; o = b + 14; v = i + 11; r = w + 5; w = 1; u = v + 18; x = e + 18; s = o + 18; e = u + 6; i = p + 14; d = s + 3. If w = 1, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 20", "c": "a + 14", "n": "c + 11", "x": "n + 4", "v": "x + 9", "g": "v + 13", "t": "h + 16", "s": "t + 1", "i": "s + 16", "u": "i + 20", "m": "u + 20", "k": "m + 15", "h": 12}, "premises": {"h": 12}, "target": "g"}, "answer": {"steps": [["v", "x + 9", "x + 22"], ["x", "n + 4", "n + 26"], ["n", "c + 11", "c + 37"], ["c", "a + 14", "a + 51"], ["a", "h + 20", "h + 71"], ["h", 12, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"h": 12}, "is_reverse": true}} | 20,066 | 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 = h + 16; i = s + 16; k = m + 15; x = n + 4; a = h + 20; n = c + 11; s = t + 1; h = 12; m = u + 20; u = i + 20; c = a + 14; v = x + 9; g = v + 13. If h = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = x + 9 to g, which gives g = x + 22.\n2. Substitute x = n + 4 to g, which gives g = n + 26.\n3. Substitute n = c + 11 to g, which gives g = c + 37.\n4. Substitute c = a + 14 to g, which gives g = a + 51.\n5. Substitute a = h + 20 to g, which gives g = h + 71.\n6. Substitute h = 12 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 20066,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 16; i = s + 16; k = m + 15; x = n + 4; a = h + 20; n = c + 11; s = t + 1; h = 12; m = u + 20; u = i + 20; c = a + 14; v = x + 9; g = v + 13. If h = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 17", "o": "r + 8", "g": "o + 12", "t": "g + 17", "i": "t + 19", "c": "i + 20", "s": "p + 10", "e": "s + 19", "l": "e + 20", "z": "l + 12", "h": "z + 9", "d": "h + 17", "p": 3}, "premises": {"p": 3}, "target": "c"}, "answer": {"steps": [["i", "t + 19", "t + 39"], ["t", "g + 17", "g + 56"], ["g", "o + 12", "o + 68"], ["o", "r + 8", "r + 76"], ["r", "p + 17", "p + 93"], ["p", 3, "96"]], "target_var_name": "c", "target_value": 96, "value_dict": {"p": 3}, "is_reverse": true}} | 20,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 12; r = p + 17; h = z + 9; g = o + 12; d = h + 17; i = t + 19; e = s + 19; t = g + 17; l = e + 20; o = r + 8; c = i + 20; p = 3; s = p + 10. If p = 3, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 19 to c, which gives c = t + 39.\n2. Substitute t = g + 17 to c, which gives c = g + 56.\n3. Substitute g = o + 12 to c, which gives c = o + 68.\n4. Substitute o = r + 8 to c, which gives c = r + 76.\n5. Substitute r = p + 17 to c, which gives c = p + 93.\n6. Substitute p = 3 to c, which gives c = 96.\n\nThus, the final answer is c = \\boxed{96}.",
"index": 20067,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 12; r = p + 17; h = z + 9; g = o + 12; d = h + 17; i = t + 19; e = s + 19; t = g + 17; l = e + 20; o = r + 8; c = i + 20; p = 3; s = p + 10. If p = 3, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "w + 5", "v": "e + 9", "u": "v + 3", "b": "u + 14", "q": "b + 4", "k": "q + 16", "o": "w + 8", "l": "o + 14", "c": "l + 17", "t": "c + 13", "s": "t + 13", "y": "s + 2", "w": 9}, "premises": {"w": 9}, "target": "k"}, "answer": {"steps": [["q", "b + 4", "b + 20"], ["b", "u + 14", "u + 34"], ["u", "v + 3", "v + 37"], ["v", "e + 9", "e + 46"], ["e", "w + 5", "w + 51"], ["w", 9, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"w": 9}, "is_reverse": true}} | 20,068 | 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 = o + 14; q = b + 4; c = l + 17; k = q + 16; o = w + 8; t = c + 13; y = s + 2; s = t + 13; u = v + 3; b = u + 14; e = w + 5; w = 9; v = e + 9. If w = 9, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 4 to k, which gives k = b + 20.\n2. Substitute b = u + 14 to k, which gives k = u + 34.\n3. Substitute u = v + 3 to k, which gives k = v + 37.\n4. Substitute v = e + 9 to k, which gives k = e + 46.\n5. Substitute e = w + 5 to k, which gives k = w + 51.\n6. Substitute w = 9 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 20068,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 14; q = b + 4; c = l + 17; k = q + 16; o = w + 8; t = c + 13; y = s + 2; s = t + 13; u = v + 3; b = u + 14; e = w + 5; w = 9; v = e + 9. If w = 9, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 19", "a": "j + 18", "o": "a + 16", "g": "o + 8", "n": "g + 6", "l": "n + 10", "t": "p + 12", "q": "t + 11", "m": "q + 3", "x": "m + 9", "h": "x + 20", "f": "h + 14", "p": 1}, "premises": {"p": 1}, "target": "l"}, "answer": {"steps": [["n", "g + 6", "g + 16"], ["g", "o + 8", "o + 24"], ["o", "a + 16", "a + 40"], ["a", "j + 18", "j + 58"], ["j", "p + 19", "p + 77"], ["p", 1, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"p": 1}, "is_reverse": true}} | 20,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = a + 16; j = p + 19; p = 1; f = h + 14; h = x + 20; m = q + 3; t = p + 12; q = t + 11; n = g + 6; a = j + 18; g = o + 8; x = m + 9; l = n + 10. Given that p = 1, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 6 to l, which gives l = g + 16.\n2. Substitute g = o + 8 to l, which gives l = o + 24.\n3. Substitute o = a + 16 to l, which gives l = a + 40.\n4. Substitute a = j + 18 to l, which gives l = j + 58.\n5. Substitute j = p + 19 to l, which gives l = p + 77.\n6. Substitute p = 1 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 20069,
"question": "Suppose a collection of variables is related by the following definitions: o = a + 16; j = p + 19; p = 1; f = h + 14; h = x + 20; m = q + 3; t = p + 12; q = t + 11; n = g + 6; a = j + 18; g = o + 8; x = m + 9; l = n + 10. Given that p = 1, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 14", "a": "t + 12", "m": "a + 15", "i": "m + 2", "y": "i + 3", "z": "y + 13", "q": "f + 5", "b": "q + 8", "r": "b + 16", "d": "r + 3", "o": "d + 20", "x": "o + 19", "f": 6}, "premises": {"f": 6}, "target": "z"}, "answer": {"steps": [["y", "i + 3", "i + 16"], ["i", "m + 2", "m + 18"], ["m", "a + 15", "a + 33"], ["a", "t + 12", "t + 45"], ["t", "f + 14", "f + 59"], ["f", 6, "65"]], "target_var_name": "z", "target_value": 65, "value_dict": {"f": 6}, "is_reverse": true}} | 20,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 8; f = 6; i = m + 2; y = i + 3; d = r + 3; r = b + 16; m = a + 15; q = f + 5; a = t + 12; t = f + 14; z = y + 13; x = o + 19; o = d + 20. Given that f = 6, 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 y = i + 3 to z, which gives z = i + 16.\n2. Substitute i = m + 2 to z, which gives z = m + 18.\n3. Substitute m = a + 15 to z, which gives z = a + 33.\n4. Substitute a = t + 12 to z, which gives z = t + 45.\n5. Substitute t = f + 14 to z, which gives z = f + 59.\n6. Substitute f = 6 to z, which gives z = 65.\n\nThus, the final answer is z = \\boxed{65}.",
"index": 20070,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 8; f = 6; i = m + 2; y = i + 3; d = r + 3; r = b + 16; m = a + 15; q = f + 5; a = t + 12; t = f + 14; z = y + 13; x = o + 19; o = d + 20. Given that f = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"k": "a + 16", "s": "k + 13", "o": "s + 15", "b": "o + 10", "x": "b + 8", "v": "x + 5", "r": "a + 17", "h": "r + 9", "d": "h + 8", "p": "d + 3", "f": "p + 14", "l": "f + 4", "a": 8}, "premises": {"a": 8}, "target": "v"}, "answer": {"steps": [["x", "b + 8", "b + 13"], ["b", "o + 10", "o + 23"], ["o", "s + 15", "s + 38"], ["s", "k + 13", "k + 51"], ["k", "a + 16", "a + 67"], ["a", 8, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"a": 8}, "is_reverse": true}} | 20,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = b + 8; o = s + 15; v = x + 5; h = r + 9; a = 8; r = a + 17; b = o + 10; p = d + 3; k = a + 16; s = k + 13; f = p + 14; l = f + 4; d = h + 8. Given that a = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 8 to v, which gives v = b + 13.\n2. Substitute b = o + 10 to v, which gives v = o + 23.\n3. Substitute o = s + 15 to v, which gives v = s + 38.\n4. Substitute s = k + 13 to v, which gives v = k + 51.\n5. Substitute k = a + 16 to v, which gives v = a + 67.\n6. Substitute a = 8 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 20071,
"question": "Suppose a collection of variables is related by the following definitions: x = b + 8; o = s + 15; v = x + 5; h = r + 9; a = 8; r = a + 17; b = o + 10; p = d + 3; k = a + 16; s = k + 13; f = p + 14; l = f + 4; d = h + 8. Given that a = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 15", "a": "p + 11", "d": "a + 3", "m": "d + 10", "v": "m + 7", "s": "v + 12", "w": "k + 13", "i": "w + 19", "y": "i + 16", "g": "y + 18", "f": "g + 10", "o": "f + 18", "k": 4}, "premises": {"k": 4}, "target": "s"}, "answer": {"steps": [["v", "m + 7", "m + 19"], ["m", "d + 10", "d + 29"], ["d", "a + 3", "a + 32"], ["a", "p + 11", "p + 43"], ["p", "k + 15", "k + 58"], ["k", 4, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"k": 4}, "is_reverse": true}} | 20,072 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = f + 18; m = d + 10; a = p + 11; s = v + 12; y = i + 16; p = k + 15; g = y + 18; f = g + 10; d = a + 3; k = 4; v = m + 7; i = w + 19; w = k + 13. Given that k = 4, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 7 to s, which gives s = m + 19.\n2. Substitute m = d + 10 to s, which gives s = d + 29.\n3. Substitute d = a + 3 to s, which gives s = a + 32.\n4. Substitute a = p + 11 to s, which gives s = p + 43.\n5. Substitute p = k + 15 to s, which gives s = k + 58.\n6. Substitute k = 4 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 20072,
"question": "Suppose a collection of variables is related by the following definitions: o = f + 18; m = d + 10; a = p + 11; s = v + 12; y = i + 16; p = k + 15; g = y + 18; f = g + 10; d = a + 3; k = 4; v = m + 7; i = w + 19; w = k + 13. Given that k = 4, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 15", "d": "i + 2", "q": "d + 1", "p": "q + 17", "v": "p + 19", "b": "v + 18", "f": "u + 2", "s": "f + 7", "z": "s + 18", "m": "z + 11", "c": "m + 2", "w": "c + 19", "u": 19}, "premises": {"u": 19}, "target": "b"}, "answer": {"steps": [["v", "p + 19", "p + 37"], ["p", "q + 17", "q + 54"], ["q", "d + 1", "d + 55"], ["d", "i + 2", "i + 57"], ["i", "u + 15", "u + 72"], ["u", 19, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"u": 19}, "is_reverse": true}} | 20,073 | 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 = 19; q = d + 1; f = u + 2; z = s + 18; m = z + 11; b = v + 18; v = p + 19; w = c + 19; c = m + 2; i = u + 15; d = i + 2; p = q + 17; s = f + 7. If u = 19, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 19 to b, which gives b = p + 37.\n2. Substitute p = q + 17 to b, which gives b = q + 54.\n3. Substitute q = d + 1 to b, which gives b = d + 55.\n4. Substitute d = i + 2 to b, which gives b = i + 57.\n5. Substitute i = u + 15 to b, which gives b = u + 72.\n6. Substitute u = 19 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 20073,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 19; q = d + 1; f = u + 2; z = s + 18; m = z + 11; b = v + 18; v = p + 19; w = c + 19; c = m + 2; i = u + 15; d = i + 2; p = q + 17; s = f + 7. If u = 19, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 8", "i": "j + 10", "w": "i + 3", "p": "w + 9", "g": "p + 10", "f": "g + 8", "n": "a + 4", "v": "n + 17", "m": "v + 12", "s": "m + 12", "k": "s + 15", "t": "k + 4", "a": 16}, "premises": {"a": 16}, "target": "f"}, "answer": {"steps": [["g", "p + 10", "p + 18"], ["p", "w + 9", "w + 27"], ["w", "i + 3", "i + 30"], ["i", "j + 10", "j + 40"], ["j", "a + 8", "a + 48"], ["a", 16, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"a": 16}, "is_reverse": true}} | 20,074 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 10; t = k + 4; a = 16; f = g + 8; w = i + 3; n = a + 4; g = p + 10; k = s + 15; j = a + 8; m = v + 12; p = w + 9; v = n + 17; s = m + 12. Given that a = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 10 to f, which gives f = p + 18.\n2. Substitute p = w + 9 to f, which gives f = w + 27.\n3. Substitute w = i + 3 to f, which gives f = i + 30.\n4. Substitute i = j + 10 to f, which gives f = j + 40.\n5. Substitute j = a + 8 to f, which gives f = a + 48.\n6. Substitute a = 16 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 20074,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 10; t = k + 4; a = 16; f = g + 8; w = i + 3; n = a + 4; g = p + 10; k = s + 15; j = a + 8; m = v + 12; p = w + 9; v = n + 17; s = m + 12. Given that a = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"g": "e + 10", "a": "g + 1", "o": "a + 9", "w": "o + 4", "f": "w + 15", "u": "f + 17", "c": "e + 3", "p": "c + 12", "i": "p + 4", "x": "i + 1", "b": "x + 20", "l": "b + 2", "e": 16}, "premises": {"e": 16}, "target": "u"}, "answer": {"steps": [["f", "w + 15", "w + 32"], ["w", "o + 4", "o + 36"], ["o", "a + 9", "a + 45"], ["a", "g + 1", "g + 46"], ["g", "e + 10", "e + 56"], ["e", 16, "72"]], "target_var_name": "u", "target_value": 72, "value_dict": {"e": 16}, "is_reverse": true}} | 20,075 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = o + 4; o = a + 9; a = g + 1; p = c + 12; g = e + 10; i = p + 4; u = f + 17; l = b + 2; f = w + 15; c = e + 3; e = 16; x = i + 1; b = x + 20. Given that e = 16, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 15 to u, which gives u = w + 32.\n2. Substitute w = o + 4 to u, which gives u = o + 36.\n3. Substitute o = a + 9 to u, which gives u = a + 45.\n4. Substitute a = g + 1 to u, which gives u = g + 46.\n5. Substitute g = e + 10 to u, which gives u = e + 56.\n6. Substitute e = 16 to u, which gives u = 72.\n\nThus, the final answer is u = \\boxed{72}.",
"index": 20075,
"question": "Suppose a collection of variables is related by the following definitions: w = o + 4; o = a + 9; a = g + 1; p = c + 12; g = e + 10; i = p + 4; u = f + 17; l = b + 2; f = w + 15; c = e + 3; e = 16; x = i + 1; b = x + 20. Given that e = 16, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"w": "o + 2", "t": "w + 8", "u": "t + 7", "n": "u + 11", "l": "n + 5", "d": "l + 20", "s": "o + 10", "b": "s + 16", "j": "b + 7", "q": "j + 16", "a": "q + 15", "f": "a + 7", "o": 1}, "premises": {"o": 1}, "target": "d"}, "answer": {"steps": [["l", "n + 5", "n + 25"], ["n", "u + 11", "u + 36"], ["u", "t + 7", "t + 43"], ["t", "w + 8", "w + 51"], ["w", "o + 2", "o + 53"], ["o", 1, "54"]], "target_var_name": "d", "target_value": 54, "value_dict": {"o": 1}, "is_reverse": true}} | 20,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = 1; s = o + 10; u = t + 7; q = j + 16; j = b + 7; a = q + 15; d = l + 20; t = w + 8; w = o + 2; f = a + 7; n = u + 11; b = s + 16; l = n + 5. Given that o = 1, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 5 to d, which gives d = n + 25.\n2. Substitute n = u + 11 to d, which gives d = u + 36.\n3. Substitute u = t + 7 to d, which gives d = t + 43.\n4. Substitute t = w + 8 to d, which gives d = w + 51.\n5. Substitute w = o + 2 to d, which gives d = o + 53.\n6. Substitute o = 1 to d, which gives d = 54.\n\nThus, the final answer is d = \\boxed{54}.",
"index": 20076,
"question": "Suppose a collection of variables is related by the following definitions: o = 1; s = o + 10; u = t + 7; q = j + 16; j = b + 7; a = q + 15; d = l + 20; t = w + 8; w = o + 2; f = a + 7; n = u + 11; b = s + 16; l = n + 5. Given that o = 1, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 12", "z": "o + 19", "r": "z + 5", "l": "r + 9", "a": "l + 1", "f": "a + 2", "v": "s + 13", "g": "v + 7", "y": "g + 11", "u": "y + 2", "t": "u + 9", "w": "t + 4", "s": 1}, "premises": {"s": 1}, "target": "f"}, "answer": {"steps": [["a", "l + 1", "l + 3"], ["l", "r + 9", "r + 12"], ["r", "z + 5", "z + 17"], ["z", "o + 19", "o + 36"], ["o", "s + 12", "s + 48"], ["s", 1, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"s": 1}, "is_reverse": true}} | 20,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = s + 13; y = g + 11; g = v + 7; f = a + 2; z = o + 19; r = z + 5; w = t + 4; s = 1; u = y + 2; t = u + 9; l = r + 9; o = s + 12; a = l + 1. Given that s = 1, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = l + 1 to f, which gives f = l + 3.\n2. Substitute l = r + 9 to f, which gives f = r + 12.\n3. Substitute r = z + 5 to f, which gives f = z + 17.\n4. Substitute z = o + 19 to f, which gives f = o + 36.\n5. Substitute o = s + 12 to f, which gives f = s + 48.\n6. Substitute s = 1 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 20077,
"question": "Suppose a collection of variables is related by the following definitions: v = s + 13; y = g + 11; g = v + 7; f = a + 2; z = o + 19; r = z + 5; w = t + 4; s = 1; u = y + 2; t = u + 9; l = r + 9; o = s + 12; a = l + 1. Given that s = 1, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 5", "y": "i + 20", "k": "y + 14", "d": "k + 11", "v": "d + 5", "n": "v + 8", "q": "m + 3", "z": "q + 13", "l": "z + 12", "r": "l + 17", "c": "r + 13", "b": "c + 4", "m": 6}, "premises": {"m": 6}, "target": "n"}, "answer": {"steps": [["v", "d + 5", "d + 13"], ["d", "k + 11", "k + 24"], ["k", "y + 14", "y + 38"], ["y", "i + 20", "i + 58"], ["i", "m + 5", "m + 63"], ["m", 6, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"m": 6}, "is_reverse": true}} | 20,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = m + 5; c = r + 13; q = m + 3; l = z + 12; d = k + 11; b = c + 4; k = y + 14; r = l + 17; m = 6; v = d + 5; n = v + 8; y = i + 20; z = q + 13. If m = 6, determine the 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 v = d + 5 to n, which gives n = d + 13.\n2. Substitute d = k + 11 to n, which gives n = k + 24.\n3. Substitute k = y + 14 to n, which gives n = y + 38.\n4. Substitute y = i + 20 to n, which gives n = i + 58.\n5. Substitute i = m + 5 to n, which gives n = m + 63.\n6. Substitute m = 6 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 20078,
"question": "Consider a system of variables where each variable is defined as follows: i = m + 5; c = r + 13; q = m + 3; l = z + 12; d = k + 11; b = c + 4; k = y + 14; r = l + 17; m = 6; v = d + 5; n = v + 8; y = i + 20; z = q + 13. If m = 6, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 16", "a": "o + 1", "h": "a + 5", "t": "h + 16", "i": "t + 14", "r": "i + 8", "d": "x + 9", "n": "d + 8", "e": "n + 19", "m": "e + 15", "f": "m + 8", "y": "f + 14", "x": 5}, "premises": {"x": 5}, "target": "r"}, "answer": {"steps": [["i", "t + 14", "t + 22"], ["t", "h + 16", "h + 38"], ["h", "a + 5", "a + 43"], ["a", "o + 1", "o + 44"], ["o", "x + 16", "x + 60"], ["x", 5, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"x": 5}, "is_reverse": true}} | 20,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 8; i = t + 14; x = 5; m = e + 15; e = n + 19; f = m + 8; a = o + 1; h = a + 5; t = h + 16; o = x + 16; d = x + 9; n = d + 8; y = f + 14. If x = 5, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = t + 14 to r, which gives r = t + 22.\n2. Substitute t = h + 16 to r, which gives r = h + 38.\n3. Substitute h = a + 5 to r, which gives r = a + 43.\n4. Substitute a = o + 1 to r, which gives r = o + 44.\n5. Substitute o = x + 16 to r, which gives r = x + 60.\n6. Substitute x = 5 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 20079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = i + 8; i = t + 14; x = 5; m = e + 15; e = n + 19; f = m + 8; a = o + 1; h = a + 5; t = h + 16; o = x + 16; d = x + 9; n = d + 8; y = f + 14. If x = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 8", "t": "v + 3", "o": "t + 18", "r": "o + 1", "m": "r + 20", "n": "m + 17", "c": "i + 4", "q": "c + 2", "a": "q + 17", "l": "a + 6", "e": "l + 7", "j": "e + 9", "i": 8}, "premises": {"i": 8}, "target": "n"}, "answer": {"steps": [["m", "r + 20", "r + 37"], ["r", "o + 1", "o + 38"], ["o", "t + 18", "t + 56"], ["t", "v + 3", "v + 59"], ["v", "i + 8", "i + 67"], ["i", 8, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"i": 8}, "is_reverse": true}} | 20,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 1; v = i + 8; i = 8; o = t + 18; a = q + 17; t = v + 3; c = i + 4; j = e + 9; q = c + 2; n = m + 17; m = r + 20; e = l + 7; l = a + 6. Given that i = 8, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 20 to n, which gives n = r + 37.\n2. Substitute r = o + 1 to n, which gives n = o + 38.\n3. Substitute o = t + 18 to n, which gives n = t + 56.\n4. Substitute t = v + 3 to n, which gives n = v + 59.\n5. Substitute v = i + 8 to n, which gives n = i + 67.\n6. Substitute i = 8 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 20080,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 1; v = i + 8; i = 8; o = t + 18; a = q + 17; t = v + 3; c = i + 4; j = e + 9; q = c + 2; n = m + 17; m = r + 20; e = l + 7; l = a + 6. Given that i = 8, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 12", "b": "y + 17", "n": "b + 16", "r": "n + 9", "d": "r + 6", "v": "d + 16", "o": "l + 5", "s": "o + 8", "t": "s + 3", "x": "t + 4", "c": "x + 8", "u": "c + 9", "l": 2}, "premises": {"l": 2}, "target": "v"}, "answer": {"steps": [["d", "r + 6", "r + 22"], ["r", "n + 9", "n + 31"], ["n", "b + 16", "b + 47"], ["b", "y + 17", "y + 64"], ["y", "l + 12", "l + 76"], ["l", 2, "78"]], "target_var_name": "v", "target_value": 78, "value_dict": {"l": 2}, "is_reverse": true}} | 20,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 2; y = l + 12; x = t + 4; d = r + 6; b = y + 17; r = n + 9; s = o + 8; o = l + 5; c = x + 8; n = b + 16; u = c + 9; v = d + 16; t = s + 3. If l = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 6 to v, which gives v = r + 22.\n2. Substitute r = n + 9 to v, which gives v = n + 31.\n3. Substitute n = b + 16 to v, which gives v = b + 47.\n4. Substitute b = y + 17 to v, which gives v = y + 64.\n5. Substitute y = l + 12 to v, which gives v = l + 76.\n6. Substitute l = 2 to v, which gives v = 78.\n\nThus, the final answer is v = \\boxed{78}.",
"index": 20081,
"question": "Consider a system of variables where each variable is defined as follows: l = 2; y = l + 12; x = t + 4; d = r + 6; b = y + 17; r = n + 9; s = o + 8; o = l + 5; c = x + 8; n = b + 16; u = c + 9; v = d + 16; t = s + 3. If l = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 1", "c": "a + 16", "o": "c + 16", "i": "o + 13", "l": "i + 3", "f": "l + 5", "v": "y + 3", "z": "v + 20", "t": "z + 12", "q": "t + 5", "x": "q + 9", "n": "x + 15", "y": 3}, "premises": {"y": 3}, "target": "f"}, "answer": {"steps": [["l", "i + 3", "i + 8"], ["i", "o + 13", "o + 21"], ["o", "c + 16", "c + 37"], ["c", "a + 16", "a + 53"], ["a", "y + 1", "y + 54"], ["y", 3, "57"]], "target_var_name": "f", "target_value": 57, "value_dict": {"y": 3}, "is_reverse": true}} | 20,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = z + 12; c = a + 16; l = i + 3; x = q + 9; y = 3; a = y + 1; q = t + 5; z = v + 20; i = o + 13; v = y + 3; o = c + 16; f = l + 5; n = x + 15. If y = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 3 to f, which gives f = i + 8.\n2. Substitute i = o + 13 to f, which gives f = o + 21.\n3. Substitute o = c + 16 to f, which gives f = c + 37.\n4. Substitute c = a + 16 to f, which gives f = a + 53.\n5. Substitute a = y + 1 to f, which gives f = y + 54.\n6. Substitute y = 3 to f, which gives f = 57.\n\nThus, the final answer is f = \\boxed{57}.",
"index": 20082,
"question": "Consider a system of variables where each variable is defined as follows: t = z + 12; c = a + 16; l = i + 3; x = q + 9; y = 3; a = y + 1; q = t + 5; z = v + 20; i = o + 13; v = y + 3; o = c + 16; f = l + 5; n = x + 15. If y = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 4", "z": "f + 7", "o": "z + 2", "q": "o + 5", "c": "q + 2", "r": "c + 3", "x": "e + 8", "s": "x + 19", "d": "s + 1", "g": "d + 20", "k": "g + 1", "m": "k + 16", "e": 12}, "premises": {"e": 12}, "target": "r"}, "answer": {"steps": [["c", "q + 2", "q + 5"], ["q", "o + 5", "o + 10"], ["o", "z + 2", "z + 12"], ["z", "f + 7", "f + 19"], ["f", "e + 4", "e + 23"], ["e", 12, "35"]], "target_var_name": "r", "target_value": 35, "value_dict": {"e": 12}, "is_reverse": true}} | 20,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 7; x = e + 8; c = q + 2; f = e + 4; k = g + 1; d = s + 1; r = c + 3; o = z + 2; m = k + 16; q = o + 5; e = 12; g = d + 20; s = x + 19. If e = 12, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 35,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 2 to r, which gives r = q + 5.\n2. Substitute q = o + 5 to r, which gives r = o + 10.\n3. Substitute o = z + 2 to r, which gives r = z + 12.\n4. Substitute z = f + 7 to r, which gives r = f + 19.\n5. Substitute f = e + 4 to r, which gives r = e + 23.\n6. Substitute e = 12 to r, which gives r = 35.\n\nThus, the final answer is r = \\boxed{35}.",
"index": 20083,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 7; x = e + 8; c = q + 2; f = e + 4; k = g + 1; d = s + 1; r = c + 3; o = z + 2; m = k + 16; q = o + 5; e = 12; g = d + 20; s = x + 19. If e = 12, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 7", "y": "v + 15", "z": "y + 18", "d": "z + 1", "j": "d + 5", "i": "j + 20", "e": "w + 14", "k": "e + 15", "m": "k + 19", "q": "m + 9", "l": "q + 11", "f": "l + 16", "w": 2}, "premises": {"w": 2}, "target": "i"}, "answer": {"steps": [["j", "d + 5", "d + 25"], ["d", "z + 1", "z + 26"], ["z", "y + 18", "y + 44"], ["y", "v + 15", "v + 59"], ["v", "w + 7", "w + 66"], ["w", 2, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"w": 2}, "is_reverse": true}} | 20,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 20; k = e + 15; l = q + 11; e = w + 14; j = d + 5; v = w + 7; q = m + 9; f = l + 16; y = v + 15; m = k + 19; w = 2; z = y + 18; d = z + 1. If w = 2, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 5 to i, which gives i = d + 25.\n2. Substitute d = z + 1 to i, which gives i = z + 26.\n3. Substitute z = y + 18 to i, which gives i = y + 44.\n4. Substitute y = v + 15 to i, which gives i = v + 59.\n5. Substitute v = w + 7 to i, which gives i = w + 66.\n6. Substitute w = 2 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 20084,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 20; k = e + 15; l = q + 11; e = w + 14; j = d + 5; v = w + 7; q = m + 9; f = l + 16; y = v + 15; m = k + 19; w = 2; z = y + 18; d = z + 1. If w = 2, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 14", "u": "r + 9", "z": "u + 1", "m": "z + 20", "l": "m + 8", "g": "l + 9", "o": "h + 6", "t": "o + 6", "b": "t + 1", "e": "b + 20", "i": "e + 11", "a": "i + 20", "h": 19}, "premises": {"h": 19}, "target": "g"}, "answer": {"steps": [["l", "m + 8", "m + 17"], ["m", "z + 20", "z + 37"], ["z", "u + 1", "u + 38"], ["u", "r + 9", "r + 47"], ["r", "h + 14", "h + 61"], ["h", 19, "80"]], "target_var_name": "g", "target_value": 80, "value_dict": {"h": 19}, "is_reverse": true}} | 20,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 14; t = o + 6; o = h + 6; h = 19; u = r + 9; m = z + 20; i = e + 11; z = u + 1; l = m + 8; g = l + 9; b = t + 1; a = i + 20; e = b + 20. Given that h = 19, 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 l = m + 8 to g, which gives g = m + 17.\n2. Substitute m = z + 20 to g, which gives g = z + 37.\n3. Substitute z = u + 1 to g, which gives g = u + 38.\n4. Substitute u = r + 9 to g, which gives g = r + 47.\n5. Substitute r = h + 14 to g, which gives g = h + 61.\n6. Substitute h = 19 to g, which gives g = 80.\n\nThus, the final answer is g = \\boxed{80}.",
"index": 20085,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 14; t = o + 6; o = h + 6; h = 19; u = r + 9; m = z + 20; i = e + 11; z = u + 1; l = m + 8; g = l + 9; b = t + 1; a = i + 20; e = b + 20. Given that h = 19, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 6", "l": "i + 7", "v": "l + 10", "x": "v + 18", "z": "x + 17", "j": "z + 11", "s": "h + 11", "q": "s + 7", "o": "q + 19", "f": "o + 17", "p": "f + 14", "c": "p + 14", "h": 19}, "premises": {"h": 19}, "target": "j"}, "answer": {"steps": [["z", "x + 17", "x + 28"], ["x", "v + 18", "v + 46"], ["v", "l + 10", "l + 56"], ["l", "i + 7", "i + 63"], ["i", "h + 6", "h + 69"], ["h", 19, "88"]], "target_var_name": "j", "target_value": 88, "value_dict": {"h": 19}, "is_reverse": true}} | 20,086 | 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 = f + 14; x = v + 18; i = h + 6; l = i + 7; f = o + 17; v = l + 10; c = p + 14; h = 19; s = h + 11; q = s + 7; z = x + 17; o = q + 19; j = z + 11. If h = 19, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 17 to j, which gives j = x + 28.\n2. Substitute x = v + 18 to j, which gives j = v + 46.\n3. Substitute v = l + 10 to j, which gives j = l + 56.\n4. Substitute l = i + 7 to j, which gives j = i + 63.\n5. Substitute i = h + 6 to j, which gives j = h + 69.\n6. Substitute h = 19 to j, which gives j = 88.\n\nThus, the final answer is j = \\boxed{88}.",
"index": 20086,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 14; x = v + 18; i = h + 6; l = i + 7; f = o + 17; v = l + 10; c = p + 14; h = 19; s = h + 11; q = s + 7; z = x + 17; o = q + 19; j = z + 11. If h = 19, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 9", "w": "a + 1", "g": "w + 8", "o": "g + 20", "v": "o + 20", "s": "v + 10", "k": "f + 3", "c": "k + 13", "n": "c + 5", "h": "n + 10", "j": "h + 1", "p": "j + 7", "f": 19}, "premises": {"f": 19}, "target": "s"}, "answer": {"steps": [["v", "o + 20", "o + 30"], ["o", "g + 20", "g + 50"], ["g", "w + 8", "w + 58"], ["w", "a + 1", "a + 59"], ["a", "f + 9", "f + 68"], ["f", 19, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"f": 19}, "is_reverse": true}} | 20,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 8; f = 19; s = v + 10; n = c + 5; j = h + 1; h = n + 10; a = f + 9; c = k + 13; w = a + 1; v = o + 20; k = f + 3; p = j + 7; o = g + 20. If f = 19, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 20 to s, which gives s = o + 30.\n2. Substitute o = g + 20 to s, which gives s = g + 50.\n3. Substitute g = w + 8 to s, which gives s = w + 58.\n4. Substitute w = a + 1 to s, which gives s = a + 59.\n5. Substitute a = f + 9 to s, which gives s = f + 68.\n6. Substitute f = 19 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 20087,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 8; f = 19; s = v + 10; n = c + 5; j = h + 1; h = n + 10; a = f + 9; c = k + 13; w = a + 1; v = o + 20; k = f + 3; p = j + 7; o = g + 20. If f = 19, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 2", "o": "y + 14", "u": "o + 16", "s": "u + 16", "i": "s + 4", "j": "i + 15", "c": "l + 12", "m": "c + 20", "f": "m + 20", "q": "f + 14", "n": "q + 8", "d": "n + 20", "l": 8}, "premises": {"l": 8}, "target": "j"}, "answer": {"steps": [["i", "s + 4", "s + 19"], ["s", "u + 16", "u + 35"], ["u", "o + 16", "o + 51"], ["o", "y + 14", "y + 65"], ["y", "l + 2", "l + 67"], ["l", 8, "75"]], "target_var_name": "j", "target_value": 75, "value_dict": {"l": 8}, "is_reverse": true}} | 20,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 20; u = o + 16; y = l + 2; c = l + 12; m = c + 20; d = n + 20; s = u + 16; l = 8; q = f + 14; j = i + 15; o = y + 14; i = s + 4; n = q + 8. If l = 8, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 4 to j, which gives j = s + 19.\n2. Substitute s = u + 16 to j, which gives j = u + 35.\n3. Substitute u = o + 16 to j, which gives j = o + 51.\n4. Substitute o = y + 14 to j, which gives j = y + 65.\n5. Substitute y = l + 2 to j, which gives j = l + 67.\n6. Substitute l = 8 to j, which gives j = 75.\n\nThus, the final answer is j = \\boxed{75}.",
"index": 20088,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 20; u = o + 16; y = l + 2; c = l + 12; m = c + 20; d = n + 20; s = u + 16; l = 8; q = f + 14; j = i + 15; o = y + 14; i = s + 4; n = q + 8. If l = 8, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 12", "h": "a + 18", "r": "h + 19", "j": "r + 14", "l": "j + 1", "z": "l + 11", "k": "x + 19", "e": "k + 7", "c": "e + 8", "d": "c + 11", "i": "d + 6", "b": "i + 9", "x": 7}, "premises": {"x": 7}, "target": "z"}, "answer": {"steps": [["l", "j + 1", "j + 12"], ["j", "r + 14", "r + 26"], ["r", "h + 19", "h + 45"], ["h", "a + 18", "a + 63"], ["a", "x + 12", "x + 75"], ["x", 7, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"x": 7}, "is_reverse": true}} | 20,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = l + 11; c = e + 8; i = d + 6; d = c + 11; l = j + 1; k = x + 19; x = 7; h = a + 18; a = x + 12; b = i + 9; j = r + 14; r = h + 19; e = k + 7. Given that x = 7, find the 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 l = j + 1 to z, which gives z = j + 12.\n2. Substitute j = r + 14 to z, which gives z = r + 26.\n3. Substitute r = h + 19 to z, which gives z = h + 45.\n4. Substitute h = a + 18 to z, which gives z = a + 63.\n5. Substitute a = x + 12 to z, which gives z = x + 75.\n6. Substitute x = 7 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 20089,
"question": "Suppose a collection of variables is related by the following definitions: z = l + 11; c = e + 8; i = d + 6; d = c + 11; l = j + 1; k = x + 19; x = 7; h = a + 18; a = x + 12; b = i + 9; j = r + 14; r = h + 19; e = k + 7. Given that x = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 13", "s": "j + 1", "o": "s + 4", "l": "o + 12", "m": "l + 2", "q": "m + 9", "x": "d + 19", "k": "x + 12", "g": "k + 14", "v": "g + 20", "i": "v + 10", "n": "i + 18", "d": 12}, "premises": {"d": 12}, "target": "q"}, "answer": {"steps": [["m", "l + 2", "l + 11"], ["l", "o + 12", "o + 23"], ["o", "s + 4", "s + 27"], ["s", "j + 1", "j + 28"], ["j", "d + 13", "d + 41"], ["d", 12, "53"]], "target_var_name": "q", "target_value": 53, "value_dict": {"d": 12}, "is_reverse": true}} | 20,090 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = j + 1; q = m + 9; j = d + 13; m = l + 2; g = k + 14; k = x + 12; v = g + 20; x = d + 19; n = i + 18; o = s + 4; l = o + 12; i = v + 10; d = 12. Given that d = 12, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = l + 2 to q, which gives q = l + 11.\n2. Substitute l = o + 12 to q, which gives q = o + 23.\n3. Substitute o = s + 4 to q, which gives q = s + 27.\n4. Substitute s = j + 1 to q, which gives q = j + 28.\n5. Substitute j = d + 13 to q, which gives q = d + 41.\n6. Substitute d = 12 to q, which gives q = 53.\n\nThus, the final answer is q = \\boxed{53}.",
"index": 20090,
"question": "Suppose a collection of variables is related by the following definitions: s = j + 1; q = m + 9; j = d + 13; m = l + 2; g = k + 14; k = x + 12; v = g + 20; x = d + 19; n = i + 18; o = s + 4; l = o + 12; i = v + 10; d = 12. Given that d = 12, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 4", "t": "h + 17", "y": "t + 9", "v": "y + 7", "i": "v + 16", "o": "i + 11", "m": "c + 9", "k": "m + 6", "r": "k + 20", "n": "r + 2", "f": "n + 4", "e": "f + 2", "c": 12}, "premises": {"c": 12}, "target": "o"}, "answer": {"steps": [["i", "v + 16", "v + 27"], ["v", "y + 7", "y + 34"], ["y", "t + 9", "t + 43"], ["t", "h + 17", "h + 60"], ["h", "c + 4", "c + 64"], ["c", 12, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"c": 12}, "is_reverse": true}} | 20,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 20; o = i + 11; n = r + 2; e = f + 2; y = t + 9; c = 12; h = c + 4; f = n + 4; k = m + 6; t = h + 17; i = v + 16; v = y + 7; m = c + 9. If c = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 16 to o, which gives o = v + 27.\n2. Substitute v = y + 7 to o, which gives o = y + 34.\n3. Substitute y = t + 9 to o, which gives o = t + 43.\n4. Substitute t = h + 17 to o, which gives o = h + 60.\n5. Substitute h = c + 4 to o, which gives o = c + 64.\n6. Substitute c = 12 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 20091,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 20; o = i + 11; n = r + 2; e = f + 2; y = t + 9; c = 12; h = c + 4; f = n + 4; k = m + 6; t = h + 17; i = v + 16; v = y + 7; m = c + 9. If c = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 6", "h": "p + 4", "m": "h + 10", "i": "m + 4", "q": "i + 5", "f": "q + 12", "s": "k + 11", "j": "s + 16", "z": "j + 15", "o": "z + 4", "g": "o + 14", "y": "g + 15", "k": 9}, "premises": {"k": 9}, "target": "f"}, "answer": {"steps": [["q", "i + 5", "i + 17"], ["i", "m + 4", "m + 21"], ["m", "h + 10", "h + 31"], ["h", "p + 4", "p + 35"], ["p", "k + 6", "k + 41"], ["k", 9, "50"]], "target_var_name": "f", "target_value": 50, "value_dict": {"k": 9}, "is_reverse": true}} | 20,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 9; m = h + 10; p = k + 6; o = z + 4; z = j + 15; i = m + 4; j = s + 16; h = p + 4; q = i + 5; y = g + 15; g = o + 14; f = q + 12; s = k + 11. Given that k = 9, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 5 to f, which gives f = i + 17.\n2. Substitute i = m + 4 to f, which gives f = m + 21.\n3. Substitute m = h + 10 to f, which gives f = h + 31.\n4. Substitute h = p + 4 to f, which gives f = p + 35.\n5. Substitute p = k + 6 to f, which gives f = k + 41.\n6. Substitute k = 9 to f, which gives f = 50.\n\nThus, the final answer is f = \\boxed{50}.",
"index": 20092,
"question": "Suppose a collection of variables is related by the following definitions: k = 9; m = h + 10; p = k + 6; o = z + 4; z = j + 15; i = m + 4; j = s + 16; h = p + 4; q = i + 5; y = g + 15; g = o + 14; f = q + 12; s = k + 11. Given that k = 9, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 11", "s": "a + 11", "j": "s + 7", "z": "j + 15", "t": "z + 5", "k": "t + 15", "m": "n + 13", "x": "m + 14", "y": "x + 20", "b": "y + 16", "p": "b + 20", "q": "p + 16", "n": 4}, "premises": {"n": 4}, "target": "k"}, "answer": {"steps": [["t", "z + 5", "z + 20"], ["z", "j + 15", "j + 35"], ["j", "s + 7", "s + 42"], ["s", "a + 11", "a + 53"], ["a", "n + 11", "n + 64"], ["n", 4, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"n": 4}, "is_reverse": true}} | 20,093 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = y + 16; s = a + 11; k = t + 15; j = s + 7; q = p + 16; n = 4; z = j + 15; t = z + 5; a = n + 11; y = x + 20; p = b + 20; x = m + 14; m = n + 13. If n = 4, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 5 to k, which gives k = z + 20.\n2. Substitute z = j + 15 to k, which gives k = j + 35.\n3. Substitute j = s + 7 to k, which gives k = s + 42.\n4. Substitute s = a + 11 to k, which gives k = a + 53.\n5. Substitute a = n + 11 to k, which gives k = n + 64.\n6. Substitute n = 4 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 20093,
"question": "Consider a system of variables where each variable is defined as follows: b = y + 16; s = a + 11; k = t + 15; j = s + 7; q = p + 16; n = 4; z = j + 15; t = z + 5; a = n + 11; y = x + 20; p = b + 20; x = m + 14; m = n + 13. If n = 4, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 8", "j": "z + 12", "f": "j + 5", "u": "f + 15", "x": "u + 11", "e": "x + 18", "h": "w + 3", "d": "h + 15", "p": "d + 12", "t": "p + 1", "q": "t + 19", "o": "q + 18", "w": 2}, "premises": {"w": 2}, "target": "e"}, "answer": {"steps": [["x", "u + 11", "u + 29"], ["u", "f + 15", "f + 44"], ["f", "j + 5", "j + 49"], ["j", "z + 12", "z + 61"], ["z", "w + 8", "w + 69"], ["w", 2, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"w": 2}, "is_reverse": true}} | 20,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 11; q = t + 19; u = f + 15; p = d + 12; z = w + 8; o = q + 18; d = h + 15; j = z + 12; f = j + 5; w = 2; e = x + 18; h = w + 3; t = p + 1. Given that w = 2, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 11 to e, which gives e = u + 29.\n2. Substitute u = f + 15 to e, which gives e = f + 44.\n3. Substitute f = j + 5 to e, which gives e = j + 49.\n4. Substitute j = z + 12 to e, which gives e = z + 61.\n5. Substitute z = w + 8 to e, which gives e = w + 69.\n6. Substitute w = 2 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 20094,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 11; q = t + 19; u = f + 15; p = d + 12; z = w + 8; o = q + 18; d = h + 15; j = z + 12; f = j + 5; w = 2; e = x + 18; h = w + 3; t = p + 1. Given that w = 2, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 11", "w": "b + 15", "l": "w + 16", "d": "l + 13", "n": "d + 2", "m": "n + 1", "r": "j + 13", "f": "r + 15", "h": "f + 18", "v": "h + 8", "o": "v + 12", "g": "o + 11", "j": 3}, "premises": {"j": 3}, "target": "m"}, "answer": {"steps": [["n", "d + 2", "d + 3"], ["d", "l + 13", "l + 16"], ["l", "w + 16", "w + 32"], ["w", "b + 15", "b + 47"], ["b", "j + 11", "j + 58"], ["j", 3, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"j": 3}, "is_reverse": true}} | 20,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = h + 8; w = b + 15; n = d + 2; o = v + 12; f = r + 15; r = j + 13; l = w + 16; d = l + 13; j = 3; g = o + 11; h = f + 18; b = j + 11; m = n + 1. If j = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 2 to m, which gives m = d + 3.\n2. Substitute d = l + 13 to m, which gives m = l + 16.\n3. Substitute l = w + 16 to m, which gives m = w + 32.\n4. Substitute w = b + 15 to m, which gives m = b + 47.\n5. Substitute b = j + 11 to m, which gives m = j + 58.\n6. Substitute j = 3 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 20095,
"question": "Consider a system of variables where each variable is defined as follows: v = h + 8; w = b + 15; n = d + 2; o = v + 12; f = r + 15; r = j + 13; l = w + 16; d = l + 13; j = 3; g = o + 11; h = f + 18; b = j + 11; m = n + 1. If j = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 15", "f": "l + 17", "a": "f + 16", "g": "a + 1", "b": "g + 15", "u": "b + 10", "x": "m + 11", "t": "x + 19", "n": "t + 18", "k": "n + 1", "r": "k + 13", "v": "r + 4", "m": 10}, "premises": {"m": 10}, "target": "u"}, "answer": {"steps": [["b", "g + 15", "g + 25"], ["g", "a + 1", "a + 26"], ["a", "f + 16", "f + 42"], ["f", "l + 17", "l + 59"], ["l", "m + 15", "m + 74"], ["m", 10, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"m": 10}, "is_reverse": true}} | 20,096 | 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 = m + 11; a = f + 16; g = a + 1; u = b + 10; l = m + 15; r = k + 13; t = x + 19; f = l + 17; v = r + 4; b = g + 15; n = t + 18; k = n + 1; m = 10. If m = 10, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 15 to u, which gives u = g + 25.\n2. Substitute g = a + 1 to u, which gives u = a + 26.\n3. Substitute a = f + 16 to u, which gives u = f + 42.\n4. Substitute f = l + 17 to u, which gives u = l + 59.\n5. Substitute l = m + 15 to u, which gives u = m + 74.\n6. Substitute m = 10 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 20096,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = m + 11; a = f + 16; g = a + 1; u = b + 10; l = m + 15; r = k + 13; t = x + 19; f = l + 17; v = r + 4; b = g + 15; n = t + 18; k = n + 1; m = 10. If m = 10, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "f + 20", "d": "m + 1", "p": "d + 1", "v": "p + 9", "h": "v + 4", "u": "h + 13", "q": "f + 13", "a": "q + 3", "c": "a + 11", "k": "c + 16", "l": "k + 3", "j": "l + 10", "f": 20}, "premises": {"f": 20}, "target": "u"}, "answer": {"steps": [["h", "v + 4", "v + 17"], ["v", "p + 9", "p + 26"], ["p", "d + 1", "d + 27"], ["d", "m + 1", "m + 28"], ["m", "f + 20", "f + 48"], ["f", 20, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"f": 20}, "is_reverse": true}} | 20,097 | 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 = h + 13; c = a + 11; h = v + 4; j = l + 10; m = f + 20; f = 20; q = f + 13; a = q + 3; k = c + 16; d = m + 1; v = p + 9; p = d + 1; l = k + 3. If f = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 4 to u, which gives u = v + 17.\n2. Substitute v = p + 9 to u, which gives u = p + 26.\n3. Substitute p = d + 1 to u, which gives u = d + 27.\n4. Substitute d = m + 1 to u, which gives u = m + 28.\n5. Substitute m = f + 20 to u, which gives u = f + 48.\n6. Substitute f = 20 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 20097,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = h + 13; c = a + 11; h = v + 4; j = l + 10; m = f + 20; f = 20; q = f + 13; a = q + 3; k = c + 16; d = m + 1; v = p + 9; p = d + 1; l = k + 3. If f = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "m + 13", "k": "s + 7", "z": "k + 12", "p": "z + 20", "u": "p + 4", "a": "u + 11", "i": "m + 20", "d": "i + 1", "q": "d + 6", "g": "q + 14", "n": "g + 9", "o": "n + 20", "m": 3}, "premises": {"m": 3}, "target": "a"}, "answer": {"steps": [["u", "p + 4", "p + 15"], ["p", "z + 20", "z + 35"], ["z", "k + 12", "k + 47"], ["k", "s + 7", "s + 54"], ["s", "m + 13", "m + 67"], ["m", 3, "70"]], "target_var_name": "a", "target_value": 70, "value_dict": {"m": 3}, "is_reverse": true}} | 20,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = i + 1; p = z + 20; a = u + 11; i = m + 20; z = k + 12; n = g + 9; g = q + 14; s = m + 13; o = n + 20; m = 3; k = s + 7; u = p + 4; q = d + 6. Given that m = 3, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 4 to a, which gives a = p + 15.\n2. Substitute p = z + 20 to a, which gives a = z + 35.\n3. Substitute z = k + 12 to a, which gives a = k + 47.\n4. Substitute k = s + 7 to a, which gives a = s + 54.\n5. Substitute s = m + 13 to a, which gives a = m + 67.\n6. Substitute m = 3 to a, which gives a = 70.\n\nThus, the final answer is a = \\boxed{70}.",
"index": 20098,
"question": "Suppose a collection of variables is related by the following definitions: d = i + 1; p = z + 20; a = u + 11; i = m + 20; z = k + 12; n = g + 9; g = q + 14; s = m + 13; o = n + 20; m = 3; k = s + 7; u = p + 4; q = d + 6. Given that m = 3, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 18", "i": "c + 11", "r": "i + 10", "w": "r + 20", "f": "w + 18", "h": "f + 5", "e": "k + 16", "p": "e + 2", "q": "p + 3", "b": "q + 1", "a": "b + 12", "d": "a + 4", "k": 6}, "premises": {"k": 6}, "target": "h"}, "answer": {"steps": [["f", "w + 18", "w + 23"], ["w", "r + 20", "r + 43"], ["r", "i + 10", "i + 53"], ["i", "c + 11", "c + 64"], ["c", "k + 18", "k + 82"], ["k", 6, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"k": 6}, "is_reverse": true}} | 20,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 18; f = w + 18; e = k + 16; w = r + 20; b = q + 1; d = a + 4; a = b + 12; k = 6; p = e + 2; i = c + 11; q = p + 3; r = i + 10; h = f + 5. If k = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 18 to h, which gives h = w + 23.\n2. Substitute w = r + 20 to h, which gives h = r + 43.\n3. Substitute r = i + 10 to h, which gives h = i + 53.\n4. Substitute i = c + 11 to h, which gives h = c + 64.\n5. Substitute c = k + 18 to h, which gives h = k + 82.\n6. Substitute k = 6 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 20099,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 18; f = w + 18; e = k + 16; w = r + 20; b = q + 1; d = a + 4; a = b + 12; k = 6; p = e + 2; i = c + 11; q = p + 3; r = i + 10; h = f + 5. If k = 6, what is the resulting value of h?",
"split": "train"
} |
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