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": "o + 1", "t": "n + 6", "f": "t + 15", "q": "f + 16", "i": "q + 12", "j": "i + 17", "u": "o + 13", "b": "u + 8", "s": "b + 18", "h": "s + 4", "l": "h + 20", "y": "l + 11", "o": 20}, "premises": {"o": 20}, "target": "j"}, "answer": {"steps": [["i", "q + 12", "q + 29"], ["q", "f + 16", "f + 45"], ["f", "t + 15", "t + 60"], ["t", "n + 6", "n + 66"], ["n", "o + 1", "o + 67"], ["o", 20, "87"]], "target_var_name": "j", "target_value": 87, "value_dict": {"o": 20}, "is_reverse": true}} | 16,000 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 11; h = s + 4; t = n + 6; s = b + 18; u = o + 13; o = 20; n = o + 1; j = i + 17; q = f + 16; b = u + 8; l = h + 20; i = q + 12; f = t + 15. If o = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 12 to j, which gives j = q + 29.\n2. Substitute q = f + 16 to j, which gives j = f + 45.\n3. Substitute f = t + 15 to j, which gives j = t + 60.\n4. Substitute t = n + 6 to j, which gives j = n + 66.\n5. Substitute n = o + 1 to j, which gives j = o + 67.\n6. Substitute o = 20 to j, which gives j = 87.\n\nThus, the final answer is j = \\boxed{87}.",
"index": 16000,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 11; h = s + 4; t = n + 6; s = b + 18; u = o + 13; o = 20; n = o + 1; j = i + 17; q = f + 16; b = u + 8; l = h + 20; i = q + 12; f = t + 15. If o = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 20", "x": "s + 3", "r": "x + 11", "p": "r + 1", "k": "p + 5", "q": "k + 7", "t": "o + 10", "f": "t + 9", "j": "f + 6", "y": "j + 6", "n": "y + 5", "b": "n + 9", "o": 17}, "premises": {"o": 17}, "target": "q"}, "answer": {"steps": [["k", "p + 5", "p + 12"], ["p", "r + 1", "r + 13"], ["r", "x + 11", "x + 24"], ["x", "s + 3", "s + 27"], ["s", "o + 20", "o + 47"], ["o", 17, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"o": 17}, "is_reverse": true}} | 16,001 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = r + 1; j = f + 6; q = k + 7; b = n + 9; k = p + 5; t = o + 10; f = t + 9; o = 17; n = y + 5; y = j + 6; r = x + 11; s = o + 20; x = s + 3. If o = 17, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 5 to q, which gives q = p + 12.\n2. Substitute p = r + 1 to q, which gives q = r + 13.\n3. Substitute r = x + 11 to q, which gives q = x + 24.\n4. Substitute x = s + 3 to q, which gives q = s + 27.\n5. Substitute s = o + 20 to q, which gives q = o + 47.\n6. Substitute o = 17 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 16001,
"question": "Consider a system of variables where each variable is defined as follows: p = r + 1; j = f + 6; q = k + 7; b = n + 9; k = p + 5; t = o + 10; f = t + 9; o = 17; n = y + 5; y = j + 6; r = x + 11; s = o + 20; x = s + 3. If o = 17, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "s + 8", "t": "n + 2", "l": "t + 9", "j": "l + 3", "f": "j + 2", "h": "f + 19", "y": "s + 19", "g": "y + 10", "p": "g + 3", "d": "p + 12", "v": "d + 6", "o": "v + 19", "s": 12}, "premises": {"s": 12}, "target": "h"}, "answer": {"steps": [["f", "j + 2", "j + 21"], ["j", "l + 3", "l + 24"], ["l", "t + 9", "t + 33"], ["t", "n + 2", "n + 35"], ["n", "s + 8", "s + 43"], ["s", 12, "55"]], "target_var_name": "h", "target_value": 55, "value_dict": {"s": 12}, "is_reverse": true}} | 16,002 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = v + 19; j = l + 3; l = t + 9; h = f + 19; g = y + 10; p = g + 3; d = p + 12; s = 12; v = d + 6; y = s + 19; t = n + 2; n = s + 8; f = j + 2. Given that s = 12, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = j + 2 to h, which gives h = j + 21.\n2. Substitute j = l + 3 to h, which gives h = l + 24.\n3. Substitute l = t + 9 to h, which gives h = t + 33.\n4. Substitute t = n + 2 to h, which gives h = n + 35.\n5. Substitute n = s + 8 to h, which gives h = s + 43.\n6. Substitute s = 12 to h, which gives h = 55.\n\nThus, the final answer is h = \\boxed{55}.",
"index": 16002,
"question": "Suppose a collection of variables is related by the following definitions: o = v + 19; j = l + 3; l = t + 9; h = f + 19; g = y + 10; p = g + 3; d = p + 12; s = 12; v = d + 6; y = s + 19; t = n + 2; n = s + 8; f = j + 2. Given that s = 12, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 13", "c": "g + 10", "n": "c + 19", "s": "n + 20", "o": "s + 4", "x": "o + 19", "e": "f + 9", "a": "e + 13", "i": "a + 13", "t": "i + 12", "r": "t + 9", "b": "r + 2", "f": 8}, "premises": {"f": 8}, "target": "x"}, "answer": {"steps": [["o", "s + 4", "s + 23"], ["s", "n + 20", "n + 43"], ["n", "c + 19", "c + 62"], ["c", "g + 10", "g + 72"], ["g", "f + 13", "f + 85"], ["f", 8, "93"]], "target_var_name": "x", "target_value": 93, "value_dict": {"f": 8}, "is_reverse": true}} | 16,003 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = 8; n = c + 19; r = t + 9; t = i + 12; e = f + 9; b = r + 2; o = s + 4; x = o + 19; a = e + 13; i = a + 13; g = f + 13; s = n + 20; c = g + 10. If f = 8, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 4 to x, which gives x = s + 23.\n2. Substitute s = n + 20 to x, which gives x = n + 43.\n3. Substitute n = c + 19 to x, which gives x = c + 62.\n4. Substitute c = g + 10 to x, which gives x = g + 72.\n5. Substitute g = f + 13 to x, which gives x = f + 85.\n6. Substitute f = 8 to x, which gives x = 93.\n\nThus, the final answer is x = \\boxed{93}.",
"index": 16003,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 8; n = c + 19; r = t + 9; t = i + 12; e = f + 9; b = r + 2; o = s + 4; x = o + 19; a = e + 13; i = a + 13; g = f + 13; s = n + 20; c = g + 10. If f = 8, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 13", "u": "x + 14", "m": "u + 1", "b": "m + 3", "n": "b + 2", "h": "n + 1", "i": "r + 14", "a": "i + 20", "j": "a + 14", "q": "j + 10", "k": "q + 17", "z": "k + 12", "r": 6}, "premises": {"r": 6}, "target": "h"}, "answer": {"steps": [["n", "b + 2", "b + 3"], ["b", "m + 3", "m + 6"], ["m", "u + 1", "u + 7"], ["u", "x + 14", "x + 21"], ["x", "r + 13", "r + 34"], ["r", 6, "40"]], "target_var_name": "h", "target_value": 40, "value_dict": {"r": 6}, "is_reverse": true}} | 16,004 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = r + 13; k = q + 17; q = j + 10; u = x + 14; j = a + 14; m = u + 1; a = i + 20; r = 6; n = b + 2; h = n + 1; i = r + 14; b = m + 3; z = k + 12. If r = 6, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 2 to h, which gives h = b + 3.\n2. Substitute b = m + 3 to h, which gives h = m + 6.\n3. Substitute m = u + 1 to h, which gives h = u + 7.\n4. Substitute u = x + 14 to h, which gives h = x + 21.\n5. Substitute x = r + 13 to h, which gives h = r + 34.\n6. Substitute r = 6 to h, which gives h = 40.\n\nThus, the final answer is h = \\boxed{40}.",
"index": 16004,
"question": "Consider a system of variables where each variable is defined as follows: x = r + 13; k = q + 17; q = j + 10; u = x + 14; j = a + 14; m = u + 1; a = i + 20; r = 6; n = b + 2; h = n + 1; i = r + 14; b = m + 3; z = k + 12. If r = 6, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"r": "m + 2", "x": "r + 18", "p": "x + 7", "s": "p + 8", "l": "s + 16", "f": "l + 17", "d": "m + 2", "z": "d + 10", "n": "z + 2", "c": "n + 7", "o": "c + 9", "v": "o + 2", "m": 8}, "premises": {"m": 8}, "target": "f"}, "answer": {"steps": [["l", "s + 16", "s + 33"], ["s", "p + 8", "p + 41"], ["p", "x + 7", "x + 48"], ["x", "r + 18", "r + 66"], ["r", "m + 2", "m + 68"], ["m", 8, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"m": 8}, "is_reverse": true}} | 16,005 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = z + 2; l = s + 16; c = n + 7; r = m + 2; v = o + 2; o = c + 9; d = m + 2; x = r + 18; z = d + 10; p = x + 7; m = 8; s = p + 8; f = l + 17. If m = 8, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 16 to f, which gives f = s + 33.\n2. Substitute s = p + 8 to f, which gives f = p + 41.\n3. Substitute p = x + 7 to f, which gives f = x + 48.\n4. Substitute x = r + 18 to f, which gives f = r + 66.\n5. Substitute r = m + 2 to f, which gives f = m + 68.\n6. Substitute m = 8 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 16005,
"question": "Consider a system of variables where each variable is defined as follows: n = z + 2; l = s + 16; c = n + 7; r = m + 2; v = o + 2; o = c + 9; d = m + 2; x = r + 18; z = d + 10; p = x + 7; m = 8; s = p + 8; f = l + 17. If m = 8, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 6", "d": "j + 10", "n": "d + 6", "h": "n + 19", "z": "h + 17", "o": "z + 7", "y": "l + 15", "v": "y + 19", "t": "v + 14", "f": "t + 10", "i": "f + 12", "b": "i + 8", "l": 3}, "premises": {"l": 3}, "target": "o"}, "answer": {"steps": [["z", "h + 17", "h + 24"], ["h", "n + 19", "n + 43"], ["n", "d + 6", "d + 49"], ["d", "j + 10", "j + 59"], ["j", "l + 6", "l + 65"], ["l", 3, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"l": 3}, "is_reverse": true}} | 16,006 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 8; i = f + 12; z = h + 17; l = 3; h = n + 19; n = d + 6; t = v + 14; o = z + 7; f = t + 10; v = y + 19; j = l + 6; y = l + 15; d = j + 10. If l = 3, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 17 to o, which gives o = h + 24.\n2. Substitute h = n + 19 to o, which gives o = n + 43.\n3. Substitute n = d + 6 to o, which gives o = d + 49.\n4. Substitute d = j + 10 to o, which gives o = j + 59.\n5. Substitute j = l + 6 to o, which gives o = l + 65.\n6. Substitute l = 3 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 16006,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = i + 8; i = f + 12; z = h + 17; l = 3; h = n + 19; n = d + 6; t = v + 14; o = z + 7; f = t + 10; v = y + 19; j = l + 6; y = l + 15; d = j + 10. If l = 3, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"c": "i + 5", "w": "c + 19", "h": "w + 4", "n": "h + 10", "f": "n + 2", "s": "f + 12", "l": "i + 18", "b": "l + 18", "j": "b + 10", "z": "j + 2", "o": "z + 13", "q": "o + 9", "i": 9}, "premises": {"i": 9}, "target": "s"}, "answer": {"steps": [["f", "n + 2", "n + 14"], ["n", "h + 10", "h + 24"], ["h", "w + 4", "w + 28"], ["w", "c + 19", "c + 47"], ["c", "i + 5", "i + 52"], ["i", 9, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"i": 9}, "is_reverse": true}} | 16,007 | 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 = z + 13; h = w + 4; j = b + 10; i = 9; z = j + 2; w = c + 19; c = i + 5; l = i + 18; f = n + 2; b = l + 18; n = h + 10; q = o + 9; s = f + 12. If i = 9, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 2 to s, which gives s = n + 14.\n2. Substitute n = h + 10 to s, which gives s = h + 24.\n3. Substitute h = w + 4 to s, which gives s = w + 28.\n4. Substitute w = c + 19 to s, which gives s = c + 47.\n5. Substitute c = i + 5 to s, which gives s = i + 52.\n6. Substitute i = 9 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 16007,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = z + 13; h = w + 4; j = b + 10; i = 9; z = j + 2; w = c + 19; c = i + 5; l = i + 18; f = n + 2; b = l + 18; n = h + 10; q = o + 9; s = f + 12. If i = 9, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 6", "d": "h + 14", "a": "d + 12", "g": "a + 19", "t": "g + 2", "w": "t + 8", "c": "m + 10", "z": "c + 8", "f": "z + 7", "i": "f + 5", "x": "i + 19", "v": "x + 6", "m": 4}, "premises": {"m": 4}, "target": "w"}, "answer": {"steps": [["t", "g + 2", "g + 10"], ["g", "a + 19", "a + 29"], ["a", "d + 12", "d + 41"], ["d", "h + 14", "h + 55"], ["h", "m + 6", "m + 61"], ["m", 4, "65"]], "target_var_name": "w", "target_value": 65, "value_dict": {"m": 4}, "is_reverse": true}} | 16,008 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 2; a = d + 12; m = 4; i = f + 5; d = h + 14; g = a + 19; f = z + 7; v = x + 6; h = m + 6; z = c + 8; c = m + 10; w = t + 8; x = i + 19. Given that m = 4, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 2 to w, which gives w = g + 10.\n2. Substitute g = a + 19 to w, which gives w = a + 29.\n3. Substitute a = d + 12 to w, which gives w = d + 41.\n4. Substitute d = h + 14 to w, which gives w = h + 55.\n5. Substitute h = m + 6 to w, which gives w = m + 61.\n6. Substitute m = 4 to w, which gives w = 65.\n\nThus, the final answer is w = \\boxed{65}.",
"index": 16008,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 2; a = d + 12; m = 4; i = f + 5; d = h + 14; g = a + 19; f = z + 7; v = x + 6; h = m + 6; z = c + 8; c = m + 10; w = t + 8; x = i + 19. Given that m = 4, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 12", "u": "k + 16", "a": "u + 14", "t": "a + 10", "j": "t + 11", "c": "j + 1", "m": "f + 7", "o": "m + 18", "q": "o + 7", "z": "q + 4", "w": "z + 2", "n": "w + 19", "f": 5}, "premises": {"f": 5}, "target": "c"}, "answer": {"steps": [["j", "t + 11", "t + 12"], ["t", "a + 10", "a + 22"], ["a", "u + 14", "u + 36"], ["u", "k + 16", "k + 52"], ["k", "f + 12", "f + 64"], ["f", 5, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"f": 5}, "is_reverse": true}} | 16,009 | 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 + 14; m = f + 7; j = t + 11; t = a + 10; q = o + 7; u = k + 16; w = z + 2; f = 5; n = w + 19; z = q + 4; k = f + 12; c = j + 1; o = m + 18. If f = 5, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 11 to c, which gives c = t + 12.\n2. Substitute t = a + 10 to c, which gives c = a + 22.\n3. Substitute a = u + 14 to c, which gives c = u + 36.\n4. Substitute u = k + 16 to c, which gives c = k + 52.\n5. Substitute k = f + 12 to c, which gives c = f + 64.\n6. Substitute f = 5 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 16009,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = u + 14; m = f + 7; j = t + 11; t = a + 10; q = o + 7; u = k + 16; w = z + 2; f = 5; n = w + 19; z = q + 4; k = f + 12; c = j + 1; o = m + 18. If f = 5, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 20", "r": "j + 9", "u": "r + 9", "m": "u + 13", "h": "m + 2", "o": "h + 18", "c": "k + 1", "d": "c + 6", "a": "d + 8", "i": "a + 18", "n": "i + 19", "s": "n + 9", "k": 10}, "premises": {"k": 10}, "target": "o"}, "answer": {"steps": [["h", "m + 2", "m + 20"], ["m", "u + 13", "u + 33"], ["u", "r + 9", "r + 42"], ["r", "j + 9", "j + 51"], ["j", "k + 20", "k + 71"], ["k", 10, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"k": 10}, "is_reverse": true}} | 16,010 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = j + 9; m = u + 13; d = c + 6; h = m + 2; k = 10; o = h + 18; u = r + 9; c = k + 1; a = d + 8; n = i + 19; i = a + 18; s = n + 9; j = k + 20. If k = 10, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 2 to o, which gives o = m + 20.\n2. Substitute m = u + 13 to o, which gives o = u + 33.\n3. Substitute u = r + 9 to o, which gives o = r + 42.\n4. Substitute r = j + 9 to o, which gives o = j + 51.\n5. Substitute j = k + 20 to o, which gives o = k + 71.\n6. Substitute k = 10 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 16010,
"question": "Consider a system of variables where each variable is defined as follows: r = j + 9; m = u + 13; d = c + 6; h = m + 2; k = 10; o = h + 18; u = r + 9; c = k + 1; a = d + 8; n = i + 19; i = a + 18; s = n + 9; j = k + 20. If k = 10, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 18", "a": "h + 5", "r": "a + 9", "z": "r + 4", "n": "z + 13", "m": "n + 15", "y": "g + 13", "f": "y + 18", "p": "f + 11", "k": "p + 3", "c": "k + 6", "d": "c + 1", "g": 1}, "premises": {"g": 1}, "target": "m"}, "answer": {"steps": [["n", "z + 13", "z + 28"], ["z", "r + 4", "r + 32"], ["r", "a + 9", "a + 41"], ["a", "h + 5", "h + 46"], ["h", "g + 18", "g + 64"], ["g", 1, "65"]], "target_var_name": "m", "target_value": 65, "value_dict": {"g": 1}, "is_reverse": true}} | 16,011 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 1; r = a + 9; d = c + 1; z = r + 4; a = h + 5; f = y + 18; n = z + 13; c = k + 6; h = g + 18; m = n + 15; p = f + 11; k = p + 3; y = g + 13. Given that g = 1, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 13 to m, which gives m = z + 28.\n2. Substitute z = r + 4 to m, which gives m = r + 32.\n3. Substitute r = a + 9 to m, which gives m = a + 41.\n4. Substitute a = h + 5 to m, which gives m = h + 46.\n5. Substitute h = g + 18 to m, which gives m = g + 64.\n6. Substitute g = 1 to m, which gives m = 65.\n\nThus, the final answer is m = \\boxed{65}.",
"index": 16011,
"question": "Suppose a collection of variables is related by the following definitions: g = 1; r = a + 9; d = c + 1; z = r + 4; a = h + 5; f = y + 18; n = z + 13; c = k + 6; h = g + 18; m = n + 15; p = f + 11; k = p + 3; y = g + 13. Given that g = 1, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 13", "k": "q + 20", "h": "k + 6", "x": "h + 14", "j": "x + 10", "t": "j + 16", "p": "a + 7", "o": "p + 3", "d": "o + 9", "m": "d + 1", "u": "m + 9", "s": "u + 6", "a": 8}, "premises": {"a": 8}, "target": "t"}, "answer": {"steps": [["j", "x + 10", "x + 26"], ["x", "h + 14", "h + 40"], ["h", "k + 6", "k + 46"], ["k", "q + 20", "q + 66"], ["q", "a + 13", "a + 79"], ["a", 8, "87"]], "target_var_name": "t", "target_value": 87, "value_dict": {"a": 8}, "is_reverse": true}} | 16,012 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = a + 13; h = k + 6; k = q + 20; j = x + 10; a = 8; s = u + 6; u = m + 9; t = j + 16; d = o + 9; m = d + 1; o = p + 3; x = h + 14; p = a + 7. Given that a = 8, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 10 to t, which gives t = x + 26.\n2. Substitute x = h + 14 to t, which gives t = h + 40.\n3. Substitute h = k + 6 to t, which gives t = k + 46.\n4. Substitute k = q + 20 to t, which gives t = q + 66.\n5. Substitute q = a + 13 to t, which gives t = a + 79.\n6. Substitute a = 8 to t, which gives t = 87.\n\nThus, the final answer is t = \\boxed{87}.",
"index": 16012,
"question": "Suppose a collection of variables is related by the following definitions: q = a + 13; h = k + 6; k = q + 20; j = x + 10; a = 8; s = u + 6; u = m + 9; t = j + 16; d = o + 9; m = d + 1; o = p + 3; x = h + 14; p = a + 7. Given that a = 8, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 6", "y": "t + 4", "d": "y + 20", "f": "d + 3", "p": "f + 7", "b": "p + 6", "s": "c + 5", "j": "s + 3", "i": "j + 17", "a": "i + 15", "l": "a + 16", "x": "l + 11", "c": 17}, "premises": {"c": 17}, "target": "b"}, "answer": {"steps": [["p", "f + 7", "f + 13"], ["f", "d + 3", "d + 16"], ["d", "y + 20", "y + 36"], ["y", "t + 4", "t + 40"], ["t", "c + 6", "c + 46"], ["c", 17, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"c": 17}, "is_reverse": true}} | 16,013 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 20; l = a + 16; x = l + 11; y = t + 4; s = c + 5; i = j + 17; j = s + 3; f = d + 3; p = f + 7; a = i + 15; b = p + 6; c = 17; t = c + 6. Given that c = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 7 to b, which gives b = f + 13.\n2. Substitute f = d + 3 to b, which gives b = d + 16.\n3. Substitute d = y + 20 to b, which gives b = y + 36.\n4. Substitute y = t + 4 to b, which gives b = t + 40.\n5. Substitute t = c + 6 to b, which gives b = c + 46.\n6. Substitute c = 17 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 16013,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 20; l = a + 16; x = l + 11; y = t + 4; s = c + 5; i = j + 17; j = s + 3; f = d + 3; p = f + 7; a = i + 15; b = p + 6; c = 17; t = c + 6. Given that c = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 18", "m": "c + 1", "x": "m + 18", "l": "x + 6", "n": "l + 18", "q": "n + 1", "z": "y + 11", "u": "z + 10", "r": "u + 2", "t": "r + 4", "f": "t + 14", "e": "f + 4", "y": 17}, "premises": {"y": 17}, "target": "q"}, "answer": {"steps": [["n", "l + 18", "l + 19"], ["l", "x + 6", "x + 25"], ["x", "m + 18", "m + 43"], ["m", "c + 1", "c + 44"], ["c", "y + 18", "y + 62"], ["y", 17, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"y": 17}, "is_reverse": true}} | 16,014 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = x + 6; z = y + 11; q = n + 1; u = z + 10; n = l + 18; m = c + 1; r = u + 2; t = r + 4; f = t + 14; x = m + 18; y = 17; e = f + 4; c = y + 18. Given that y = 17, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = l + 18 to q, which gives q = l + 19.\n2. Substitute l = x + 6 to q, which gives q = x + 25.\n3. Substitute x = m + 18 to q, which gives q = m + 43.\n4. Substitute m = c + 1 to q, which gives q = c + 44.\n5. Substitute c = y + 18 to q, which gives q = y + 62.\n6. Substitute y = 17 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 16014,
"question": "Suppose a collection of variables is related by the following definitions: l = x + 6; z = y + 11; q = n + 1; u = z + 10; n = l + 18; m = c + 1; r = u + 2; t = r + 4; f = t + 14; x = m + 18; y = 17; e = f + 4; c = y + 18. Given that y = 17, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "m + 9", "p": "o + 16", "n": "p + 7", "x": "n + 17", "g": "x + 15", "k": "g + 2", "b": "m + 19", "i": "b + 13", "r": "i + 16", "z": "r + 14", "y": "z + 15", "f": "y + 1", "m": 8}, "premises": {"m": 8}, "target": "k"}, "answer": {"steps": [["g", "x + 15", "x + 17"], ["x", "n + 17", "n + 34"], ["n", "p + 7", "p + 41"], ["p", "o + 16", "o + 57"], ["o", "m + 9", "m + 66"], ["m", 8, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"m": 8}, "is_reverse": true}} | 16,015 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 8; r = i + 16; f = y + 1; p = o + 16; b = m + 19; i = b + 13; y = z + 15; z = r + 14; x = n + 17; n = p + 7; k = g + 2; g = x + 15; o = m + 9. If m = 8, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 15 to k, which gives k = x + 17.\n2. Substitute x = n + 17 to k, which gives k = n + 34.\n3. Substitute n = p + 7 to k, which gives k = p + 41.\n4. Substitute p = o + 16 to k, which gives k = o + 57.\n5. Substitute o = m + 9 to k, which gives k = m + 66.\n6. Substitute m = 8 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 16015,
"question": "Consider a system of variables where each variable is defined as follows: m = 8; r = i + 16; f = y + 1; p = o + 16; b = m + 19; i = b + 13; y = z + 15; z = r + 14; x = n + 17; n = p + 7; k = g + 2; g = x + 15; o = m + 9. If m = 8, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 4", "n": "k + 4", "u": "n + 18", "d": "u + 20", "m": "d + 20", "v": "m + 5", "h": "b + 11", "e": "h + 14", "o": "e + 20", "r": "o + 14", "f": "r + 13", "s": "f + 10", "b": 13}, "premises": {"b": 13}, "target": "v"}, "answer": {"steps": [["m", "d + 20", "d + 25"], ["d", "u + 20", "u + 45"], ["u", "n + 18", "n + 63"], ["n", "k + 4", "k + 67"], ["k", "b + 4", "b + 71"], ["b", 13, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"b": 13}, "is_reverse": true}} | 16,016 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = h + 14; b = 13; m = d + 20; f = r + 13; v = m + 5; d = u + 20; s = f + 10; n = k + 4; h = b + 11; r = o + 14; o = e + 20; u = n + 18; k = b + 4. If b = 13, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 20 to v, which gives v = d + 25.\n2. Substitute d = u + 20 to v, which gives v = u + 45.\n3. Substitute u = n + 18 to v, which gives v = n + 63.\n4. Substitute n = k + 4 to v, which gives v = k + 67.\n5. Substitute k = b + 4 to v, which gives v = b + 71.\n6. Substitute b = 13 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 16016,
"question": "Consider a system of variables where each variable is defined as follows: e = h + 14; b = 13; m = d + 20; f = r + 13; v = m + 5; d = u + 20; s = f + 10; n = k + 4; h = b + 11; r = o + 14; o = e + 20; u = n + 18; k = b + 4. If b = 13, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 2", "z": "t + 5", "a": "z + 11", "v": "a + 4", "o": "v + 15", "y": "o + 19", "m": "f + 18", "l": "m + 16", "w": "l + 7", "d": "w + 11", "g": "d + 8", "r": "g + 4", "f": 7}, "premises": {"f": 7}, "target": "y"}, "answer": {"steps": [["o", "v + 15", "v + 34"], ["v", "a + 4", "a + 38"], ["a", "z + 11", "z + 49"], ["z", "t + 5", "t + 54"], ["t", "f + 2", "f + 56"], ["f", 7, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"f": 7}, "is_reverse": true}} | 16,017 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 8; o = v + 15; r = g + 4; d = w + 11; m = f + 18; f = 7; t = f + 2; y = o + 19; v = a + 4; w = l + 7; l = m + 16; z = t + 5; a = z + 11. Given that f = 7, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 15 to y, which gives y = v + 34.\n2. Substitute v = a + 4 to y, which gives y = a + 38.\n3. Substitute a = z + 11 to y, which gives y = z + 49.\n4. Substitute z = t + 5 to y, which gives y = t + 54.\n5. Substitute t = f + 2 to y, which gives y = f + 56.\n6. Substitute f = 7 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 16017,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 8; o = v + 15; r = g + 4; d = w + 11; m = f + 18; f = 7; t = f + 2; y = o + 19; v = a + 4; w = l + 7; l = m + 16; z = t + 5; a = z + 11. Given that f = 7, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 4", "p": "z + 16", "k": "p + 16", "m": "k + 12", "b": "m + 16", "t": "b + 16", "r": "h + 2", "d": "r + 8", "n": "d + 16", "v": "n + 4", "f": "v + 9", "e": "f + 10", "h": 1}, "premises": {"h": 1}, "target": "t"}, "answer": {"steps": [["b", "m + 16", "m + 32"], ["m", "k + 12", "k + 44"], ["k", "p + 16", "p + 60"], ["p", "z + 16", "z + 76"], ["z", "h + 4", "h + 80"], ["h", 1, "81"]], "target_var_name": "t", "target_value": 81, "value_dict": {"h": 1}, "is_reverse": true}} | 16,018 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = z + 16; n = d + 16; v = n + 4; k = p + 16; b = m + 16; e = f + 10; z = h + 4; h = 1; d = r + 8; f = v + 9; m = k + 12; r = h + 2; t = b + 16. Given that h = 1, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 16 to t, which gives t = m + 32.\n2. Substitute m = k + 12 to t, which gives t = k + 44.\n3. Substitute k = p + 16 to t, which gives t = p + 60.\n4. Substitute p = z + 16 to t, which gives t = z + 76.\n5. Substitute z = h + 4 to t, which gives t = h + 80.\n6. Substitute h = 1 to t, which gives t = 81.\n\nThus, the final answer is t = \\boxed{81}.",
"index": 16018,
"question": "Suppose a collection of variables is related by the following definitions: p = z + 16; n = d + 16; v = n + 4; k = p + 16; b = m + 16; e = f + 10; z = h + 4; h = 1; d = r + 8; f = v + 9; m = k + 12; r = h + 2; t = b + 16. Given that h = 1, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 1", "u": "b + 3", "z": "u + 13", "i": "z + 2", "k": "i + 18", "n": "k + 1", "l": "w + 6", "a": "l + 14", "d": "a + 11", "o": "d + 16", "t": "o + 4", "j": "t + 17", "w": 5}, "premises": {"w": 5}, "target": "n"}, "answer": {"steps": [["k", "i + 18", "i + 19"], ["i", "z + 2", "z + 21"], ["z", "u + 13", "u + 34"], ["u", "b + 3", "b + 37"], ["b", "w + 1", "w + 38"], ["w", 5, "43"]], "target_var_name": "n", "target_value": 43, "value_dict": {"w": 5}, "is_reverse": true}} | 16,019 | 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 = o + 4; a = l + 14; b = w + 1; u = b + 3; i = z + 2; l = w + 6; z = u + 13; d = a + 11; w = 5; n = k + 1; o = d + 16; k = i + 18; j = t + 17. If w = 5, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = i + 18 to n, which gives n = i + 19.\n2. Substitute i = z + 2 to n, which gives n = z + 21.\n3. Substitute z = u + 13 to n, which gives n = u + 34.\n4. Substitute u = b + 3 to n, which gives n = b + 37.\n5. Substitute b = w + 1 to n, which gives n = w + 38.\n6. Substitute w = 5 to n, which gives n = 43.\n\nThus, the final answer is n = \\boxed{43}.",
"index": 16019,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = o + 4; a = l + 14; b = w + 1; u = b + 3; i = z + 2; l = w + 6; z = u + 13; d = a + 11; w = 5; n = k + 1; o = d + 16; k = i + 18; j = t + 17. If w = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"c": "f + 8", "k": "c + 1", "i": "k + 3", "e": "i + 2", "g": "e + 5", "n": "g + 19", "y": "f + 15", "u": "y + 3", "s": "u + 18", "b": "s + 20", "a": "b + 12", "w": "a + 20", "f": 17}, "premises": {"f": 17}, "target": "n"}, "answer": {"steps": [["g", "e + 5", "e + 24"], ["e", "i + 2", "i + 26"], ["i", "k + 3", "k + 29"], ["k", "c + 1", "c + 30"], ["c", "f + 8", "f + 38"], ["f", 17, "55"]], "target_var_name": "n", "target_value": 55, "value_dict": {"f": 17}, "is_reverse": true}} | 16,020 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = 17; e = i + 2; g = e + 5; k = c + 1; u = y + 3; a = b + 12; w = a + 20; n = g + 19; i = k + 3; y = f + 15; c = f + 8; b = s + 20; s = u + 18. If f = 17, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 5 to n, which gives n = e + 24.\n2. Substitute e = i + 2 to n, which gives n = i + 26.\n3. Substitute i = k + 3 to n, which gives n = k + 29.\n4. Substitute k = c + 1 to n, which gives n = c + 30.\n5. Substitute c = f + 8 to n, which gives n = f + 38.\n6. Substitute f = 17 to n, which gives n = 55.\n\nThus, the final answer is n = \\boxed{55}.",
"index": 16020,
"question": "Consider a system of variables where each variable is defined as follows: f = 17; e = i + 2; g = e + 5; k = c + 1; u = y + 3; a = b + 12; w = a + 20; n = g + 19; i = k + 3; y = f + 15; c = f + 8; b = s + 20; s = u + 18. If f = 17, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 4", "r": "i + 20", "v": "r + 18", "d": "v + 16", "j": "d + 13", "s": "j + 15", "h": "o + 12", "w": "h + 4", "t": "w + 15", "e": "t + 6", "y": "e + 4", "f": "y + 6", "o": 18}, "premises": {"o": 18}, "target": "s"}, "answer": {"steps": [["j", "d + 13", "d + 28"], ["d", "v + 16", "v + 44"], ["v", "r + 18", "r + 62"], ["r", "i + 20", "i + 82"], ["i", "o + 4", "o + 86"], ["o", 18, "104"]], "target_var_name": "s", "target_value": 104, "value_dict": {"o": 18}, "is_reverse": true}} | 16,021 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 13; h = o + 12; d = v + 16; i = o + 4; o = 18; w = h + 4; e = t + 6; s = j + 15; f = y + 6; r = i + 20; y = e + 4; v = r + 18; t = w + 15. If o = 18, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 13 to s, which gives s = d + 28.\n2. Substitute d = v + 16 to s, which gives s = v + 44.\n3. Substitute v = r + 18 to s, which gives s = r + 62.\n4. Substitute r = i + 20 to s, which gives s = i + 82.\n5. Substitute i = o + 4 to s, which gives s = o + 86.\n6. Substitute o = 18 to s, which gives s = 104.\n\nThus, the final answer is s = \\boxed{104}.",
"index": 16021,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = d + 13; h = o + 12; d = v + 16; i = o + 4; o = 18; w = h + 4; e = t + 6; s = j + 15; f = y + 6; r = i + 20; y = e + 4; v = r + 18; t = w + 15. If o = 18, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 9", "k": "i + 6", "e": "k + 18", "x": "e + 13", "w": "x + 6", "g": "w + 14", "p": "a + 9", "m": "p + 20", "b": "m + 9", "u": "b + 17", "q": "u + 5", "z": "q + 8", "a": 7}, "premises": {"a": 7}, "target": "g"}, "answer": {"steps": [["w", "x + 6", "x + 20"], ["x", "e + 13", "e + 33"], ["e", "k + 18", "k + 51"], ["k", "i + 6", "i + 57"], ["i", "a + 9", "a + 66"], ["a", 7, "73"]], "target_var_name": "g", "target_value": 73, "value_dict": {"a": 7}, "is_reverse": true}} | 16,022 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = q + 8; x = e + 13; i = a + 9; b = m + 9; u = b + 17; w = x + 6; e = k + 18; m = p + 20; q = u + 5; g = w + 14; k = i + 6; p = a + 9; a = 7. If a = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 6 to g, which gives g = x + 20.\n2. Substitute x = e + 13 to g, which gives g = e + 33.\n3. Substitute e = k + 18 to g, which gives g = k + 51.\n4. Substitute k = i + 6 to g, which gives g = i + 57.\n5. Substitute i = a + 9 to g, which gives g = a + 66.\n6. Substitute a = 7 to g, which gives g = 73.\n\nThus, the final answer is g = \\boxed{73}.",
"index": 16022,
"question": "Consider a system of variables where each variable is defined as follows: z = q + 8; x = e + 13; i = a + 9; b = m + 9; u = b + 17; w = x + 6; e = k + 18; m = p + 20; q = u + 5; g = w + 14; k = i + 6; p = a + 9; a = 7. If a = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "u + 20", "x": "s + 16", "h": "x + 8", "m": "h + 5", "n": "m + 8", "g": "n + 14", "a": "u + 5", "w": "a + 2", "t": "w + 15", "j": "t + 8", "p": "j + 15", "r": "p + 19", "u": 10}, "premises": {"u": 10}, "target": "g"}, "answer": {"steps": [["n", "m + 8", "m + 22"], ["m", "h + 5", "h + 27"], ["h", "x + 8", "x + 35"], ["x", "s + 16", "s + 51"], ["s", "u + 20", "u + 71"], ["u", 10, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"u": 10}, "is_reverse": true}} | 16,023 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 15; a = u + 5; s = u + 20; n = m + 8; r = p + 19; w = a + 2; u = 10; g = n + 14; j = t + 8; t = w + 15; x = s + 16; h = x + 8; m = h + 5. If u = 10, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 8 to g, which gives g = m + 22.\n2. Substitute m = h + 5 to g, which gives g = h + 27.\n3. Substitute h = x + 8 to g, which gives g = x + 35.\n4. Substitute x = s + 16 to g, which gives g = s + 51.\n5. Substitute s = u + 20 to g, which gives g = u + 71.\n6. Substitute u = 10 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 16023,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 15; a = u + 5; s = u + 20; n = m + 8; r = p + 19; w = a + 2; u = 10; g = n + 14; j = t + 8; t = w + 15; x = s + 16; h = x + 8; m = h + 5. If u = 10, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 18", "k": "t + 20", "s": "k + 2", "o": "s + 8", "r": "o + 17", "l": "r + 6", "w": "f + 10", "j": "w + 9", "b": "j + 3", "d": "b + 8", "a": "d + 1", "i": "a + 8", "f": 8}, "premises": {"f": 8}, "target": "l"}, "answer": {"steps": [["r", "o + 17", "o + 23"], ["o", "s + 8", "s + 31"], ["s", "k + 2", "k + 33"], ["k", "t + 20", "t + 53"], ["t", "f + 18", "f + 71"], ["f", 8, "79"]], "target_var_name": "l", "target_value": 79, "value_dict": {"f": 8}, "is_reverse": true}} | 16,024 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 9; b = j + 3; l = r + 6; a = d + 1; k = t + 20; r = o + 17; t = f + 18; w = f + 10; o = s + 8; f = 8; i = a + 8; s = k + 2; d = b + 8. If f = 8, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 17 to l, which gives l = o + 23.\n2. Substitute o = s + 8 to l, which gives l = s + 31.\n3. Substitute s = k + 2 to l, which gives l = k + 33.\n4. Substitute k = t + 20 to l, which gives l = t + 53.\n5. Substitute t = f + 18 to l, which gives l = f + 71.\n6. Substitute f = 8 to l, which gives l = 79.\n\nThus, the final answer is l = \\boxed{79}.",
"index": 16024,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = w + 9; b = j + 3; l = r + 6; a = d + 1; k = t + 20; r = o + 17; t = f + 18; w = f + 10; o = s + 8; f = 8; i = a + 8; s = k + 2; d = b + 8. If f = 8, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"t": "u + 13", "z": "t + 16", "y": "z + 4", "i": "y + 12", "q": "i + 16", "s": "q + 1", "f": "u + 6", "w": "f + 5", "h": "w + 13", "n": "h + 4", "a": "n + 2", "d": "a + 3", "u": 3}, "premises": {"u": 3}, "target": "s"}, "answer": {"steps": [["q", "i + 16", "i + 17"], ["i", "y + 12", "y + 29"], ["y", "z + 4", "z + 33"], ["z", "t + 16", "t + 49"], ["t", "u + 13", "u + 62"], ["u", 3, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"u": 3}, "is_reverse": true}} | 16,025 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 3; h = w + 13; n = h + 4; z = t + 16; y = z + 4; f = u + 6; i = y + 12; s = q + 1; t = u + 13; a = n + 2; u = 3; w = f + 5; q = i + 16. Given that u = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 16 to s, which gives s = i + 17.\n2. Substitute i = y + 12 to s, which gives s = y + 29.\n3. Substitute y = z + 4 to s, which gives s = z + 33.\n4. Substitute z = t + 16 to s, which gives s = t + 49.\n5. Substitute t = u + 13 to s, which gives s = u + 62.\n6. Substitute u = 3 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 16025,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 3; h = w + 13; n = h + 4; z = t + 16; y = z + 4; f = u + 6; i = y + 12; s = q + 1; t = u + 13; a = n + 2; u = 3; w = f + 5; q = i + 16. Given that u = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 12", "q": "n + 8", "y": "q + 20", "u": "y + 6", "p": "u + 13", "e": "p + 2", "s": "i + 6", "z": "s + 18", "k": "z + 17", "x": "k + 12", "a": "x + 19", "o": "a + 11", "i": 14}, "premises": {"i": 14}, "target": "e"}, "answer": {"steps": [["p", "u + 13", "u + 15"], ["u", "y + 6", "y + 21"], ["y", "q + 20", "q + 41"], ["q", "n + 8", "n + 49"], ["n", "i + 12", "i + 61"], ["i", 14, "75"]], "target_var_name": "e", "target_value": 75, "value_dict": {"i": 14}, "is_reverse": true}} | 16,026 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 2; o = a + 11; y = q + 20; q = n + 8; s = i + 6; i = 14; u = y + 6; p = u + 13; x = k + 12; n = i + 12; z = s + 18; a = x + 19; k = z + 17. If i = 14, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 13 to e, which gives e = u + 15.\n2. Substitute u = y + 6 to e, which gives e = y + 21.\n3. Substitute y = q + 20 to e, which gives e = q + 41.\n4. Substitute q = n + 8 to e, which gives e = n + 49.\n5. Substitute n = i + 12 to e, which gives e = i + 61.\n6. Substitute i = 14 to e, which gives e = 75.\n\nThus, the final answer is e = \\boxed{75}.",
"index": 16026,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 2; o = a + 11; y = q + 20; q = n + 8; s = i + 6; i = 14; u = y + 6; p = u + 13; x = k + 12; n = i + 12; z = s + 18; a = x + 19; k = z + 17. If i = 14, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 2", "c": "u + 11", "m": "c + 7", "r": "m + 12", "p": "r + 14", "b": "p + 9", "e": "q + 10", "k": "e + 7", "f": "k + 6", "x": "f + 14", "g": "x + 12", "j": "g + 10", "q": 15}, "premises": {"q": 15}, "target": "b"}, "answer": {"steps": [["p", "r + 14", "r + 23"], ["r", "m + 12", "m + 35"], ["m", "c + 7", "c + 42"], ["c", "u + 11", "u + 53"], ["u", "q + 2", "q + 55"], ["q", 15, "70"]], "target_var_name": "b", "target_value": 70, "value_dict": {"q": 15}, "is_reverse": true}} | 16,027 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 15; r = m + 12; e = q + 10; c = u + 11; g = x + 12; p = r + 14; u = q + 2; b = p + 9; x = f + 14; j = g + 10; k = e + 7; m = c + 7; f = k + 6. Given that q = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 14 to b, which gives b = r + 23.\n2. Substitute r = m + 12 to b, which gives b = m + 35.\n3. Substitute m = c + 7 to b, which gives b = c + 42.\n4. Substitute c = u + 11 to b, which gives b = u + 53.\n5. Substitute u = q + 2 to b, which gives b = q + 55.\n6. Substitute q = 15 to b, which gives b = 70.\n\nThus, the final answer is b = \\boxed{70}.",
"index": 16027,
"question": "Suppose a collection of variables is related by the following definitions: q = 15; r = m + 12; e = q + 10; c = u + 11; g = x + 12; p = r + 14; u = q + 2; b = p + 9; x = f + 14; j = g + 10; k = e + 7; m = c + 7; f = k + 6. Given that q = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 16", "b": "p + 15", "c": "b + 6", "a": "c + 7", "q": "a + 16", "m": "q + 16", "k": "i + 1", "g": "k + 10", "d": "g + 15", "j": "d + 10", "z": "j + 10", "v": "z + 14", "i": 5}, "premises": {"i": 5}, "target": "m"}, "answer": {"steps": [["q", "a + 16", "a + 32"], ["a", "c + 7", "c + 39"], ["c", "b + 6", "b + 45"], ["b", "p + 15", "p + 60"], ["p", "i + 16", "i + 76"], ["i", 5, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"i": 5}, "is_reverse": true}} | 16,028 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = b + 6; a = c + 7; q = a + 16; k = i + 1; d = g + 15; z = j + 10; m = q + 16; i = 5; b = p + 15; v = z + 14; p = i + 16; g = k + 10; j = d + 10. If i = 5, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 16 to m, which gives m = a + 32.\n2. Substitute a = c + 7 to m, which gives m = c + 39.\n3. Substitute c = b + 6 to m, which gives m = b + 45.\n4. Substitute b = p + 15 to m, which gives m = p + 60.\n5. Substitute p = i + 16 to m, which gives m = i + 76.\n6. Substitute i = 5 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 16028,
"question": "Consider a system of variables where each variable is defined as follows: c = b + 6; a = c + 7; q = a + 16; k = i + 1; d = g + 15; z = j + 10; m = q + 16; i = 5; b = p + 15; v = z + 14; p = i + 16; g = k + 10; j = d + 10. If i = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 17", "r": "d + 14", "v": "r + 5", "c": "v + 15", "e": "c + 13", "a": "e + 4", "t": "o + 7", "n": "t + 16", "l": "n + 6", "y": "l + 18", "s": "y + 4", "k": "s + 1", "o": 8}, "premises": {"o": 8}, "target": "a"}, "answer": {"steps": [["e", "c + 13", "c + 17"], ["c", "v + 15", "v + 32"], ["v", "r + 5", "r + 37"], ["r", "d + 14", "d + 51"], ["d", "o + 17", "o + 68"], ["o", 8, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"o": 8}, "is_reverse": true}} | 16,029 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = v + 15; l = n + 6; k = s + 1; d = o + 17; s = y + 4; y = l + 18; e = c + 13; r = d + 14; o = 8; v = r + 5; a = e + 4; t = o + 7; n = t + 16. If o = 8, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 13 to a, which gives a = c + 17.\n2. Substitute c = v + 15 to a, which gives a = v + 32.\n3. Substitute v = r + 5 to a, which gives a = r + 37.\n4. Substitute r = d + 14 to a, which gives a = d + 51.\n5. Substitute d = o + 17 to a, which gives a = o + 68.\n6. Substitute o = 8 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 16029,
"question": "Consider a system of variables where each variable is defined as follows: c = v + 15; l = n + 6; k = s + 1; d = o + 17; s = y + 4; y = l + 18; e = c + 13; r = d + 14; o = 8; v = r + 5; a = e + 4; t = o + 7; n = t + 16. If o = 8, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 11", "w": "l + 12", "t": "w + 3", "v": "t + 8", "f": "v + 18", "h": "f + 11", "r": "g + 4", "z": "r + 6", "c": "z + 5", "d": "c + 8", "b": "d + 9", "u": "b + 13", "g": 7}, "premises": {"g": 7}, "target": "h"}, "answer": {"steps": [["f", "v + 18", "v + 29"], ["v", "t + 8", "t + 37"], ["t", "w + 3", "w + 40"], ["w", "l + 12", "l + 52"], ["l", "g + 11", "g + 63"], ["g", 7, "70"]], "target_var_name": "h", "target_value": 70, "value_dict": {"g": 7}, "is_reverse": true}} | 16,030 | 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 + 6; r = g + 4; t = w + 3; h = f + 11; l = g + 11; w = l + 12; f = v + 18; b = d + 9; d = c + 8; v = t + 8; c = z + 5; u = b + 13; g = 7. If g = 7, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 18 to h, which gives h = v + 29.\n2. Substitute v = t + 8 to h, which gives h = t + 37.\n3. Substitute t = w + 3 to h, which gives h = w + 40.\n4. Substitute w = l + 12 to h, which gives h = l + 52.\n5. Substitute l = g + 11 to h, which gives h = g + 63.\n6. Substitute g = 7 to h, which gives h = 70.\n\nThus, the final answer is h = \\boxed{70}.",
"index": 16030,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 6; r = g + 4; t = w + 3; h = f + 11; l = g + 11; w = l + 12; f = v + 18; b = d + 9; d = c + 8; v = t + 8; c = z + 5; u = b + 13; g = 7. If g = 7, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 10", "s": "h + 3", "n": "s + 4", "j": "n + 16", "w": "j + 10", "k": "w + 6", "b": "g + 15", "d": "b + 12", "e": "d + 2", "f": "e + 14", "z": "f + 3", "o": "z + 3", "g": 13}, "premises": {"g": 13}, "target": "k"}, "answer": {"steps": [["w", "j + 10", "j + 16"], ["j", "n + 16", "n + 32"], ["n", "s + 4", "s + 36"], ["s", "h + 3", "h + 39"], ["h", "g + 10", "g + 49"], ["g", 13, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"g": 13}, "is_reverse": true}} | 16,031 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 12; k = w + 6; o = z + 3; s = h + 3; w = j + 10; f = e + 14; z = f + 3; e = d + 2; b = g + 15; n = s + 4; g = 13; j = n + 16; h = g + 10. If g = 13, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 10 to k, which gives k = j + 16.\n2. Substitute j = n + 16 to k, which gives k = n + 32.\n3. Substitute n = s + 4 to k, which gives k = s + 36.\n4. Substitute s = h + 3 to k, which gives k = h + 39.\n5. Substitute h = g + 10 to k, which gives k = g + 49.\n6. Substitute g = 13 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 16031,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = b + 12; k = w + 6; o = z + 3; s = h + 3; w = j + 10; f = e + 14; z = f + 3; e = d + 2; b = g + 15; n = s + 4; g = 13; j = n + 16; h = g + 10. If g = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 16", "x": "v + 19", "c": "x + 1", "b": "c + 12", "e": "b + 12", "t": "e + 11", "r": "m + 8", "i": "r + 9", "l": "i + 5", "h": "l + 7", "f": "h + 11", "w": "f + 5", "m": 9}, "premises": {"m": 9}, "target": "t"}, "answer": {"steps": [["e", "b + 12", "b + 23"], ["b", "c + 12", "c + 35"], ["c", "x + 1", "x + 36"], ["x", "v + 19", "v + 55"], ["v", "m + 16", "m + 71"], ["m", 9, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"m": 9}, "is_reverse": true}} | 16,032 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = m + 16; x = v + 19; f = h + 11; e = b + 12; w = f + 5; c = x + 1; i = r + 9; t = e + 11; m = 9; l = i + 5; r = m + 8; b = c + 12; h = l + 7. If m = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 12 to t, which gives t = b + 23.\n2. Substitute b = c + 12 to t, which gives t = c + 35.\n3. Substitute c = x + 1 to t, which gives t = x + 36.\n4. Substitute x = v + 19 to t, which gives t = v + 55.\n5. Substitute v = m + 16 to t, which gives t = m + 71.\n6. Substitute m = 9 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 16032,
"question": "Consider a system of variables where each variable is defined as follows: v = m + 16; x = v + 19; f = h + 11; e = b + 12; w = f + 5; c = x + 1; i = r + 9; t = e + 11; m = 9; l = i + 5; r = m + 8; b = c + 12; h = l + 7. If m = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 9", "m": "b + 3", "p": "m + 18", "n": "p + 13", "u": "n + 4", "j": "u + 7", "i": "g + 11", "l": "i + 2", "y": "l + 7", "s": "y + 2", "e": "s + 19", "q": "e + 2", "g": 12}, "premises": {"g": 12}, "target": "j"}, "answer": {"steps": [["u", "n + 4", "n + 11"], ["n", "p + 13", "p + 24"], ["p", "m + 18", "m + 42"], ["m", "b + 3", "b + 45"], ["b", "g + 9", "g + 54"], ["g", 12, "66"]], "target_var_name": "j", "target_value": 66, "value_dict": {"g": 12}, "is_reverse": true}} | 16,033 | 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 = l + 7; j = u + 7; l = i + 2; e = s + 19; g = 12; m = b + 3; u = n + 4; q = e + 2; n = p + 13; i = g + 11; b = g + 9; p = m + 18; s = y + 2. If g = 12, 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 u = n + 4 to j, which gives j = n + 11.\n2. Substitute n = p + 13 to j, which gives j = p + 24.\n3. Substitute p = m + 18 to j, which gives j = m + 42.\n4. Substitute m = b + 3 to j, which gives j = b + 45.\n5. Substitute b = g + 9 to j, which gives j = g + 54.\n6. Substitute g = 12 to j, which gives j = 66.\n\nThus, the final answer is j = \\boxed{66}.",
"index": 16033,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 7; j = u + 7; l = i + 2; e = s + 19; g = 12; m = b + 3; u = n + 4; q = e + 2; n = p + 13; i = g + 11; b = g + 9; p = m + 18; s = y + 2. If g = 12, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 12", "q": "t + 17", "x": "q + 4", "p": "x + 1", "w": "p + 15", "l": "w + 13", "u": "a + 16", "c": "u + 8", "g": "c + 6", "z": "g + 16", "n": "z + 4", "h": "n + 20", "a": 20}, "premises": {"a": 20}, "target": "l"}, "answer": {"steps": [["w", "p + 15", "p + 28"], ["p", "x + 1", "x + 29"], ["x", "q + 4", "q + 33"], ["q", "t + 17", "t + 50"], ["t", "a + 12", "a + 62"], ["a", 20, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"a": 20}, "is_reverse": true}} | 16,034 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = a + 16; g = c + 6; t = a + 12; l = w + 13; a = 20; p = x + 1; z = g + 16; x = q + 4; q = t + 17; n = z + 4; w = p + 15; c = u + 8; h = n + 20. Given that a = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 15 to l, which gives l = p + 28.\n2. Substitute p = x + 1 to l, which gives l = x + 29.\n3. Substitute x = q + 4 to l, which gives l = q + 33.\n4. Substitute q = t + 17 to l, which gives l = t + 50.\n5. Substitute t = a + 12 to l, which gives l = a + 62.\n6. Substitute a = 20 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 16034,
"question": "Suppose a collection of variables is related by the following definitions: u = a + 16; g = c + 6; t = a + 12; l = w + 13; a = 20; p = x + 1; z = g + 16; x = q + 4; q = t + 17; n = z + 4; w = p + 15; c = u + 8; h = n + 20. Given that a = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 5", "e": "q + 15", "p": "e + 4", "t": "p + 6", "o": "t + 3", "d": "o + 9", "h": "z + 9", "l": "h + 13", "b": "l + 1", "a": "b + 12", "n": "a + 15", "j": "n + 5", "z": 7}, "premises": {"z": 7}, "target": "d"}, "answer": {"steps": [["o", "t + 3", "t + 12"], ["t", "p + 6", "p + 18"], ["p", "e + 4", "e + 22"], ["e", "q + 15", "q + 37"], ["q", "z + 5", "z + 42"], ["z", 7, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"z": 7}, "is_reverse": true}} | 16,035 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 9; z = 7; a = b + 12; l = h + 13; p = e + 4; o = t + 3; t = p + 6; h = z + 9; j = n + 5; q = z + 5; e = q + 15; b = l + 1; n = a + 15. If z = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 3 to d, which gives d = t + 12.\n2. Substitute t = p + 6 to d, which gives d = p + 18.\n3. Substitute p = e + 4 to d, which gives d = e + 22.\n4. Substitute e = q + 15 to d, which gives d = q + 37.\n5. Substitute q = z + 5 to d, which gives d = z + 42.\n6. Substitute z = 7 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 16035,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 9; z = 7; a = b + 12; l = h + 13; p = e + 4; o = t + 3; t = p + 6; h = z + 9; j = n + 5; q = z + 5; e = q + 15; b = l + 1; n = a + 15. If z = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 11", "d": "s + 15", "f": "d + 1", "c": "f + 5", "v": "c + 4", "q": "v + 7", "n": "p + 20", "o": "n + 6", "y": "o + 19", "k": "y + 9", "h": "k + 2", "t": "h + 3", "p": 9}, "premises": {"p": 9}, "target": "q"}, "answer": {"steps": [["v", "c + 4", "c + 11"], ["c", "f + 5", "f + 16"], ["f", "d + 1", "d + 17"], ["d", "s + 15", "s + 32"], ["s", "p + 11", "p + 43"], ["p", 9, "52"]], "target_var_name": "q", "target_value": 52, "value_dict": {"p": 9}, "is_reverse": true}} | 16,036 | 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 = f + 5; d = s + 15; s = p + 11; y = o + 19; f = d + 1; q = v + 7; p = 9; k = y + 9; n = p + 20; h = k + 2; t = h + 3; o = n + 6; v = c + 4. If p = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 4 to q, which gives q = c + 11.\n2. Substitute c = f + 5 to q, which gives q = f + 16.\n3. Substitute f = d + 1 to q, which gives q = d + 17.\n4. Substitute d = s + 15 to q, which gives q = s + 32.\n5. Substitute s = p + 11 to q, which gives q = p + 43.\n6. Substitute p = 9 to q, which gives q = 52.\n\nThus, the final answer is q = \\boxed{52}.",
"index": 16036,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 5; d = s + 15; s = p + 11; y = o + 19; f = d + 1; q = v + 7; p = 9; k = y + 9; n = p + 20; h = k + 2; t = h + 3; o = n + 6; v = c + 4. If p = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"p": "v + 13", "q": "p + 20", "y": "q + 7", "e": "y + 16", "g": "e + 9", "d": "g + 7", "t": "v + 1", "o": "t + 9", "k": "o + 12", "s": "k + 19", "m": "s + 18", "c": "m + 3", "v": 18}, "premises": {"v": 18}, "target": "d"}, "answer": {"steps": [["g", "e + 9", "e + 16"], ["e", "y + 16", "y + 32"], ["y", "q + 7", "q + 39"], ["q", "p + 20", "p + 59"], ["p", "v + 13", "v + 72"], ["v", 18, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"v": 18}, "is_reverse": true}} | 16,037 | 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 = y + 16; s = k + 19; o = t + 9; q = p + 20; d = g + 7; m = s + 18; g = e + 9; c = m + 3; t = v + 1; v = 18; k = o + 12; p = v + 13; y = q + 7. If v = 18, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 9 to d, which gives d = e + 16.\n2. Substitute e = y + 16 to d, which gives d = y + 32.\n3. Substitute y = q + 7 to d, which gives d = q + 39.\n4. Substitute q = p + 20 to d, which gives d = p + 59.\n5. Substitute p = v + 13 to d, which gives d = v + 72.\n6. Substitute v = 18 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 16037,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 16; s = k + 19; o = t + 9; q = p + 20; d = g + 7; m = s + 18; g = e + 9; c = m + 3; t = v + 1; v = 18; k = o + 12; p = v + 13; y = q + 7. If v = 18, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 16", "w": "m + 13", "d": "w + 9", "j": "d + 19", "e": "j + 10", "n": "e + 10", "k": "h + 6", "u": "k + 15", "l": "u + 8", "f": "l + 5", "r": "f + 3", "z": "r + 4", "h": 7}, "premises": {"h": 7}, "target": "n"}, "answer": {"steps": [["e", "j + 10", "j + 20"], ["j", "d + 19", "d + 39"], ["d", "w + 9", "w + 48"], ["w", "m + 13", "m + 61"], ["m", "h + 16", "h + 77"], ["h", 7, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"h": 7}, "is_reverse": true}} | 16,038 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = r + 4; n = e + 10; k = h + 6; r = f + 3; l = u + 8; u = k + 15; j = d + 19; d = w + 9; w = m + 13; m = h + 16; f = l + 5; e = j + 10; h = 7. Given that h = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 10 to n, which gives n = j + 20.\n2. Substitute j = d + 19 to n, which gives n = d + 39.\n3. Substitute d = w + 9 to n, which gives n = w + 48.\n4. Substitute w = m + 13 to n, which gives n = m + 61.\n5. Substitute m = h + 16 to n, which gives n = h + 77.\n6. Substitute h = 7 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 16038,
"question": "Suppose a collection of variables is related by the following definitions: z = r + 4; n = e + 10; k = h + 6; r = f + 3; l = u + 8; u = k + 15; j = d + 19; d = w + 9; w = m + 13; m = h + 16; f = l + 5; e = j + 10; h = 7. Given that h = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 6", "s": "l + 8", "a": "s + 11", "d": "a + 17", "m": "d + 4", "p": "m + 8", "w": "x + 5", "h": "w + 4", "f": "h + 10", "r": "f + 9", "c": "r + 20", "o": "c + 20", "x": 4}, "premises": {"x": 4}, "target": "p"}, "answer": {"steps": [["m", "d + 4", "d + 12"], ["d", "a + 17", "a + 29"], ["a", "s + 11", "s + 40"], ["s", "l + 8", "l + 48"], ["l", "x + 6", "x + 54"], ["x", 4, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"x": 4}, "is_reverse": true}} | 16,039 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = f + 9; d = a + 17; h = w + 4; s = l + 8; c = r + 20; p = m + 8; x = 4; m = d + 4; w = x + 5; o = c + 20; l = x + 6; a = s + 11; f = h + 10. Given that x = 4, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 4 to p, which gives p = d + 12.\n2. Substitute d = a + 17 to p, which gives p = a + 29.\n3. Substitute a = s + 11 to p, which gives p = s + 40.\n4. Substitute s = l + 8 to p, which gives p = l + 48.\n5. Substitute l = x + 6 to p, which gives p = x + 54.\n6. Substitute x = 4 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 16039,
"question": "Suppose a collection of variables is related by the following definitions: r = f + 9; d = a + 17; h = w + 4; s = l + 8; c = r + 20; p = m + 8; x = 4; m = d + 4; w = x + 5; o = c + 20; l = x + 6; a = s + 11; f = h + 10. Given that x = 4, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 13", "h": "x + 19", "n": "h + 17", "b": "n + 15", "v": "b + 4", "u": "v + 4", "r": "l + 13", "y": "r + 17", "w": "y + 14", "g": "w + 3", "m": "g + 1", "c": "m + 19", "l": 6}, "premises": {"l": 6}, "target": "u"}, "answer": {"steps": [["v", "b + 4", "b + 8"], ["b", "n + 15", "n + 23"], ["n", "h + 17", "h + 40"], ["h", "x + 19", "x + 59"], ["x", "l + 13", "l + 72"], ["l", 6, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"l": 6}, "is_reverse": true}} | 16,040 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = l + 13; c = m + 19; l = 6; b = n + 15; h = x + 19; u = v + 4; v = b + 4; m = g + 1; g = w + 3; x = l + 13; n = h + 17; y = r + 17; w = y + 14. If l = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 4 to u, which gives u = b + 8.\n2. Substitute b = n + 15 to u, which gives u = n + 23.\n3. Substitute n = h + 17 to u, which gives u = h + 40.\n4. Substitute h = x + 19 to u, which gives u = x + 59.\n5. Substitute x = l + 13 to u, which gives u = l + 72.\n6. Substitute l = 6 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 16040,
"question": "Consider a system of variables where each variable is defined as follows: r = l + 13; c = m + 19; l = 6; b = n + 15; h = x + 19; u = v + 4; v = b + 4; m = g + 1; g = w + 3; x = l + 13; n = h + 17; y = r + 17; w = y + 14. If l = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 16", "h": "j + 14", "d": "h + 19", "z": "d + 8", "e": "z + 9", "w": "e + 4", "v": "k + 4", "n": "v + 12", "p": "n + 4", "t": "p + 12", "i": "t + 10", "r": "i + 16", "k": 15}, "premises": {"k": 15}, "target": "w"}, "answer": {"steps": [["e", "z + 9", "z + 13"], ["z", "d + 8", "d + 21"], ["d", "h + 19", "h + 40"], ["h", "j + 14", "j + 54"], ["j", "k + 16", "k + 70"], ["k", 15, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"k": 15}, "is_reverse": true}} | 16,041 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = e + 4; i = t + 10; t = p + 12; e = z + 9; h = j + 14; k = 15; d = h + 19; r = i + 16; z = d + 8; p = n + 4; n = v + 12; v = k + 4; j = k + 16. If k = 15, determine the 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 e = z + 9 to w, which gives w = z + 13.\n2. Substitute z = d + 8 to w, which gives w = d + 21.\n3. Substitute d = h + 19 to w, which gives w = h + 40.\n4. Substitute h = j + 14 to w, which gives w = j + 54.\n5. Substitute j = k + 16 to w, which gives w = k + 70.\n6. Substitute k = 15 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 16041,
"question": "Consider a system of variables where each variable is defined as follows: w = e + 4; i = t + 10; t = p + 12; e = z + 9; h = j + 14; k = 15; d = h + 19; r = i + 16; z = d + 8; p = n + 4; n = v + 12; v = k + 4; j = k + 16. If k = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 12", "c": "e + 19", "b": "c + 4", "k": "b + 3", "f": "k + 20", "s": "f + 18", "o": "i + 15", "z": "o + 19", "u": "z + 6", "d": "u + 2", "m": "d + 12", "x": "m + 6", "i": 2}, "premises": {"i": 2}, "target": "s"}, "answer": {"steps": [["f", "k + 20", "k + 38"], ["k", "b + 3", "b + 41"], ["b", "c + 4", "c + 45"], ["c", "e + 19", "e + 64"], ["e", "i + 12", "i + 76"], ["i", 2, "78"]], "target_var_name": "s", "target_value": 78, "value_dict": {"i": 2}, "is_reverse": true}} | 16,042 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = z + 6; c = e + 19; f = k + 20; e = i + 12; k = b + 3; m = d + 12; x = m + 6; o = i + 15; i = 2; d = u + 2; z = o + 19; b = c + 4; s = f + 18. Given that i = 2, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = k + 20 to s, which gives s = k + 38.\n2. Substitute k = b + 3 to s, which gives s = b + 41.\n3. Substitute b = c + 4 to s, which gives s = c + 45.\n4. Substitute c = e + 19 to s, which gives s = e + 64.\n5. Substitute e = i + 12 to s, which gives s = i + 76.\n6. Substitute i = 2 to s, which gives s = 78.\n\nThus, the final answer is s = \\boxed{78}.",
"index": 16042,
"question": "Suppose a collection of variables is related by the following definitions: u = z + 6; c = e + 19; f = k + 20; e = i + 12; k = b + 3; m = d + 12; x = m + 6; o = i + 15; i = 2; d = u + 2; z = o + 19; b = c + 4; s = f + 18. Given that i = 2, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 4", "t": "d + 17", "g": "t + 4", "i": "g + 20", "j": "i + 5", "z": "j + 13", "a": "b + 6", "u": "a + 1", "q": "u + 9", "n": "q + 6", "l": "n + 1", "x": "l + 17", "b": 11}, "premises": {"b": 11}, "target": "z"}, "answer": {"steps": [["j", "i + 5", "i + 18"], ["i", "g + 20", "g + 38"], ["g", "t + 4", "t + 42"], ["t", "d + 17", "d + 59"], ["d", "b + 4", "b + 63"], ["b", 11, "74"]], "target_var_name": "z", "target_value": 74, "value_dict": {"b": 11}, "is_reverse": true}} | 16,043 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 1; a = b + 6; u = a + 1; g = t + 4; x = l + 17; j = i + 5; t = d + 17; n = q + 6; d = b + 4; q = u + 9; b = 11; i = g + 20; z = j + 13. If b = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = i + 5 to z, which gives z = i + 18.\n2. Substitute i = g + 20 to z, which gives z = g + 38.\n3. Substitute g = t + 4 to z, which gives z = t + 42.\n4. Substitute t = d + 17 to z, which gives z = d + 59.\n5. Substitute d = b + 4 to z, which gives z = b + 63.\n6. Substitute b = 11 to z, which gives z = 74.\n\nThus, the final answer is z = \\boxed{74}.",
"index": 16043,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 1; a = b + 6; u = a + 1; g = t + 4; x = l + 17; j = i + 5; t = d + 17; n = q + 6; d = b + 4; q = u + 9; b = 11; i = g + 20; z = j + 13. If b = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 19", "z": "r + 3", "l": "z + 16", "g": "l + 1", "j": "g + 1", "q": "j + 18", "b": "n + 3", "u": "b + 9", "e": "u + 9", "a": "e + 4", "s": "a + 18", "k": "s + 2", "n": 1}, "premises": {"n": 1}, "target": "q"}, "answer": {"steps": [["j", "g + 1", "g + 19"], ["g", "l + 1", "l + 20"], ["l", "z + 16", "z + 36"], ["z", "r + 3", "r + 39"], ["r", "n + 19", "n + 58"], ["n", 1, "59"]], "target_var_name": "q", "target_value": 59, "value_dict": {"n": 1}, "is_reverse": true}} | 16,044 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = u + 9; u = b + 9; k = s + 2; a = e + 4; r = n + 19; z = r + 3; q = j + 18; l = z + 16; b = n + 3; n = 1; g = l + 1; s = a + 18; j = g + 1. Given that n = 1, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 1 to q, which gives q = g + 19.\n2. Substitute g = l + 1 to q, which gives q = l + 20.\n3. Substitute l = z + 16 to q, which gives q = z + 36.\n4. Substitute z = r + 3 to q, which gives q = r + 39.\n5. Substitute r = n + 19 to q, which gives q = n + 58.\n6. Substitute n = 1 to q, which gives q = 59.\n\nThus, the final answer is q = \\boxed{59}.",
"index": 16044,
"question": "Suppose a collection of variables is related by the following definitions: e = u + 9; u = b + 9; k = s + 2; a = e + 4; r = n + 19; z = r + 3; q = j + 18; l = z + 16; b = n + 3; n = 1; g = l + 1; s = a + 18; j = g + 1. Given that n = 1, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 16", "c": "b + 8", "y": "c + 7", "h": "y + 15", "w": "h + 12", "l": "w + 13", "d": "e + 13", "z": "d + 8", "a": "z + 13", "t": "a + 11", "q": "t + 15", "j": "q + 2", "e": 18}, "premises": {"e": 18}, "target": "l"}, "answer": {"steps": [["w", "h + 12", "h + 25"], ["h", "y + 15", "y + 40"], ["y", "c + 7", "c + 47"], ["c", "b + 8", "b + 55"], ["b", "e + 16", "e + 71"], ["e", 18, "89"]], "target_var_name": "l", "target_value": 89, "value_dict": {"e": 18}, "is_reverse": true}} | 16,045 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; a = z + 13; w = h + 12; z = d + 8; l = w + 13; y = c + 7; q = t + 15; t = a + 11; b = e + 16; d = e + 13; j = q + 2; h = y + 15; e = 18. If e = 18, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 12 to l, which gives l = h + 25.\n2. Substitute h = y + 15 to l, which gives l = y + 40.\n3. Substitute y = c + 7 to l, which gives l = c + 47.\n4. Substitute c = b + 8 to l, which gives l = b + 55.\n5. Substitute b = e + 16 to l, which gives l = e + 71.\n6. Substitute e = 18 to l, which gives l = 89.\n\nThus, the final answer is l = \\boxed{89}.",
"index": 16045,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 8; a = z + 13; w = h + 12; z = d + 8; l = w + 13; y = c + 7; q = t + 15; t = a + 11; b = e + 16; d = e + 13; j = q + 2; h = y + 15; e = 18. If e = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 11", "c": "u + 8", "v": "c + 17", "y": "v + 11", "h": "y + 19", "r": "h + 10", "d": "j + 7", "t": "d + 12", "k": "t + 2", "e": "k + 16", "l": "e + 19", "f": "l + 2", "j": 18}, "premises": {"j": 18}, "target": "r"}, "answer": {"steps": [["h", "y + 19", "y + 29"], ["y", "v + 11", "v + 40"], ["v", "c + 17", "c + 57"], ["c", "u + 8", "u + 65"], ["u", "j + 11", "j + 76"], ["j", 18, "94"]], "target_var_name": "r", "target_value": 94, "value_dict": {"j": 18}, "is_reverse": true}} | 16,046 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = t + 2; j = 18; c = u + 8; d = j + 7; r = h + 10; u = j + 11; v = c + 17; f = l + 2; h = y + 19; y = v + 11; l = e + 19; e = k + 16; t = d + 12. If j = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 19 to r, which gives r = y + 29.\n2. Substitute y = v + 11 to r, which gives r = v + 40.\n3. Substitute v = c + 17 to r, which gives r = c + 57.\n4. Substitute c = u + 8 to r, which gives r = u + 65.\n5. Substitute u = j + 11 to r, which gives r = j + 76.\n6. Substitute j = 18 to r, which gives r = 94.\n\nThus, the final answer is r = \\boxed{94}.",
"index": 16046,
"question": "Consider a system of variables where each variable is defined as follows: k = t + 2; j = 18; c = u + 8; d = j + 7; r = h + 10; u = j + 11; v = c + 17; f = l + 2; h = y + 19; y = v + 11; l = e + 19; e = k + 16; t = d + 12. If j = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 20", "s": "u + 3", "n": "s + 20", "a": "n + 17", "e": "a + 6", "x": "e + 11", "r": "p + 17", "b": "r + 13", "c": "b + 10", "q": "c + 12", "i": "q + 15", "k": "i + 19", "p": 9}, "premises": {"p": 9}, "target": "x"}, "answer": {"steps": [["e", "a + 6", "a + 17"], ["a", "n + 17", "n + 34"], ["n", "s + 20", "s + 54"], ["s", "u + 3", "u + 57"], ["u", "p + 20", "p + 77"], ["p", 9, "86"]], "target_var_name": "x", "target_value": 86, "value_dict": {"p": 9}, "is_reverse": true}} | 16,047 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 3; u = p + 20; a = n + 17; c = b + 10; r = p + 17; p = 9; k = i + 19; b = r + 13; x = e + 11; i = q + 15; e = a + 6; q = c + 12; n = s + 20. If p = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 6 to x, which gives x = a + 17.\n2. Substitute a = n + 17 to x, which gives x = n + 34.\n3. Substitute n = s + 20 to x, which gives x = s + 54.\n4. Substitute s = u + 3 to x, which gives x = u + 57.\n5. Substitute u = p + 20 to x, which gives x = p + 77.\n6. Substitute p = 9 to x, which gives x = 86.\n\nThus, the final answer is x = \\boxed{86}.",
"index": 16047,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = u + 3; u = p + 20; a = n + 17; c = b + 10; r = p + 17; p = 9; k = i + 19; b = r + 13; x = e + 11; i = q + 15; e = a + 6; q = c + 12; n = s + 20. If p = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 11", "z": "l + 20", "a": "z + 5", "c": "a + 14", "r": "c + 13", "j": "r + 8", "w": "p + 19", "v": "w + 15", "b": "v + 9", "t": "b + 2", "m": "t + 19", "n": "m + 4", "p": 5}, "premises": {"p": 5}, "target": "j"}, "answer": {"steps": [["r", "c + 13", "c + 21"], ["c", "a + 14", "a + 35"], ["a", "z + 5", "z + 40"], ["z", "l + 20", "l + 60"], ["l", "p + 11", "p + 71"], ["p", 5, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"p": 5}, "is_reverse": true}} | 16,048 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = r + 8; l = p + 11; v = w + 15; n = m + 4; m = t + 19; r = c + 13; b = v + 9; t = b + 2; p = 5; w = p + 19; a = z + 5; z = l + 20; c = a + 14. If p = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 13 to j, which gives j = c + 21.\n2. Substitute c = a + 14 to j, which gives j = a + 35.\n3. Substitute a = z + 5 to j, which gives j = z + 40.\n4. Substitute z = l + 20 to j, which gives j = l + 60.\n5. Substitute l = p + 11 to j, which gives j = p + 71.\n6. Substitute p = 5 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 16048,
"question": "Consider a system of variables where each variable is defined as follows: j = r + 8; l = p + 11; v = w + 15; n = m + 4; m = t + 19; r = c + 13; b = v + 9; t = b + 2; p = 5; w = p + 19; a = z + 5; z = l + 20; c = a + 14. If p = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 9", "z": "s + 7", "h": "z + 2", "t": "h + 2", "b": "t + 17", "r": "b + 16", "n": "f + 17", "p": "n + 8", "e": "p + 5", "g": "e + 5", "d": "g + 3", "o": "d + 10", "f": 7}, "premises": {"f": 7}, "target": "r"}, "answer": {"steps": [["b", "t + 17", "t + 33"], ["t", "h + 2", "h + 35"], ["h", "z + 2", "z + 37"], ["z", "s + 7", "s + 44"], ["s", "f + 9", "f + 53"], ["f", 7, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"f": 7}, "is_reverse": true}} | 16,049 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 10; s = f + 9; e = p + 5; z = s + 7; t = h + 2; n = f + 17; p = n + 8; r = b + 16; d = g + 3; g = e + 5; h = z + 2; b = t + 17; f = 7. If f = 7, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 17 to r, which gives r = t + 33.\n2. Substitute t = h + 2 to r, which gives r = h + 35.\n3. Substitute h = z + 2 to r, which gives r = z + 37.\n4. Substitute z = s + 7 to r, which gives r = s + 44.\n5. Substitute s = f + 9 to r, which gives r = f + 53.\n6. Substitute f = 7 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 16049,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 10; s = f + 9; e = p + 5; z = s + 7; t = h + 2; n = f + 17; p = n + 8; r = b + 16; d = g + 3; g = e + 5; h = z + 2; b = t + 17; f = 7. If f = 7, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 5", "c": "q + 6", "g": "c + 2", "m": "g + 12", "b": "m + 6", "p": "b + 8", "o": "l + 4", "y": "o + 19", "f": "y + 10", "n": "f + 14", "d": "n + 16", "h": "d + 5", "l": 6}, "premises": {"l": 6}, "target": "p"}, "answer": {"steps": [["b", "m + 6", "m + 14"], ["m", "g + 12", "g + 26"], ["g", "c + 2", "c + 28"], ["c", "q + 6", "q + 34"], ["q", "l + 5", "l + 39"], ["l", 6, "45"]], "target_var_name": "p", "target_value": 45, "value_dict": {"l": 6}, "is_reverse": true}} | 16,050 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = y + 10; o = l + 4; q = l + 5; h = d + 5; g = c + 2; y = o + 19; d = n + 16; b = m + 6; p = b + 8; l = 6; c = q + 6; m = g + 12; n = f + 14. If l = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 6 to p, which gives p = m + 14.\n2. Substitute m = g + 12 to p, which gives p = g + 26.\n3. Substitute g = c + 2 to p, which gives p = c + 28.\n4. Substitute c = q + 6 to p, which gives p = q + 34.\n5. Substitute q = l + 5 to p, which gives p = l + 39.\n6. Substitute l = 6 to p, which gives p = 45.\n\nThus, the final answer is p = \\boxed{45}.",
"index": 16050,
"question": "Consider a system of variables where each variable is defined as follows: f = y + 10; o = l + 4; q = l + 5; h = d + 5; g = c + 2; y = o + 19; d = n + 16; b = m + 6; p = b + 8; l = 6; c = q + 6; m = g + 12; n = f + 14. If l = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 7", "k": "a + 19", "g": "k + 6", "h": "g + 10", "w": "h + 18", "r": "w + 8", "l": "u + 13", "q": "l + 15", "p": "q + 19", "n": "p + 5", "s": "n + 11", "b": "s + 6", "u": 14}, "premises": {"u": 14}, "target": "r"}, "answer": {"steps": [["w", "h + 18", "h + 26"], ["h", "g + 10", "g + 36"], ["g", "k + 6", "k + 42"], ["k", "a + 19", "a + 61"], ["a", "u + 7", "u + 68"], ["u", 14, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"u": 14}, "is_reverse": true}} | 16,051 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 5; p = q + 19; k = a + 19; a = u + 7; b = s + 6; r = w + 8; l = u + 13; q = l + 15; g = k + 6; w = h + 18; s = n + 11; h = g + 10; u = 14. If u = 14, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 18 to r, which gives r = h + 26.\n2. Substitute h = g + 10 to r, which gives r = g + 36.\n3. Substitute g = k + 6 to r, which gives r = k + 42.\n4. Substitute k = a + 19 to r, which gives r = a + 61.\n5. Substitute a = u + 7 to r, which gives r = u + 68.\n6. Substitute u = 14 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 16051,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 5; p = q + 19; k = a + 19; a = u + 7; b = s + 6; r = w + 8; l = u + 13; q = l + 15; g = k + 6; w = h + 18; s = n + 11; h = g + 10; u = 14. If u = 14, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 8", "s": "v + 20", "y": "s + 2", "u": "y + 20", "t": "u + 1", "h": "t + 17", "w": "r + 3", "q": "w + 12", "b": "q + 2", "a": "b + 9", "z": "a + 2", "l": "z + 3", "r": 5}, "premises": {"r": 5}, "target": "h"}, "answer": {"steps": [["t", "u + 1", "u + 18"], ["u", "y + 20", "y + 38"], ["y", "s + 2", "s + 40"], ["s", "v + 20", "v + 60"], ["v", "r + 8", "r + 68"], ["r", 5, "73"]], "target_var_name": "h", "target_value": 73, "value_dict": {"r": 5}, "is_reverse": true}} | 16,052 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = q + 2; w = r + 3; s = v + 20; v = r + 8; h = t + 17; t = u + 1; y = s + 2; r = 5; z = a + 2; a = b + 9; q = w + 12; l = z + 3; u = y + 20. If r = 5, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 1 to h, which gives h = u + 18.\n2. Substitute u = y + 20 to h, which gives h = y + 38.\n3. Substitute y = s + 2 to h, which gives h = s + 40.\n4. Substitute s = v + 20 to h, which gives h = v + 60.\n5. Substitute v = r + 8 to h, which gives h = r + 68.\n6. Substitute r = 5 to h, which gives h = 73.\n\nThus, the final answer is h = \\boxed{73}.",
"index": 16052,
"question": "Consider a system of variables where each variable is defined as follows: b = q + 2; w = r + 3; s = v + 20; v = r + 8; h = t + 17; t = u + 1; y = s + 2; r = 5; z = a + 2; a = b + 9; q = w + 12; l = z + 3; u = y + 20. If r = 5, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 8", "o": "c + 19", "q": "o + 20", "h": "q + 18", "k": "h + 1", "i": "k + 11", "n": "e + 20", "b": "n + 18", "t": "b + 16", "d": "t + 11", "f": "d + 14", "p": "f + 4", "e": 17}, "premises": {"e": 17}, "target": "i"}, "answer": {"steps": [["k", "h + 1", "h + 12"], ["h", "q + 18", "q + 30"], ["q", "o + 20", "o + 50"], ["o", "c + 19", "c + 69"], ["c", "e + 8", "e + 77"], ["e", 17, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"e": 17}, "is_reverse": true}} | 16,053 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 19; i = k + 11; p = f + 4; e = 17; t = b + 16; k = h + 1; d = t + 11; n = e + 20; q = o + 20; c = e + 8; b = n + 18; h = q + 18; f = d + 14. Given that e = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 1 to i, which gives i = h + 12.\n2. Substitute h = q + 18 to i, which gives i = q + 30.\n3. Substitute q = o + 20 to i, which gives i = o + 50.\n4. Substitute o = c + 19 to i, which gives i = c + 69.\n5. Substitute c = e + 8 to i, which gives i = e + 77.\n6. Substitute e = 17 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 16053,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 19; i = k + 11; p = f + 4; e = 17; t = b + 16; k = h + 1; d = t + 11; n = e + 20; q = o + 20; c = e + 8; b = n + 18; h = q + 18; f = d + 14. Given that e = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "r + 16", "g": "v + 10", "b": "g + 3", "z": "b + 17", "q": "z + 15", "d": "q + 6", "y": "r + 13", "j": "y + 3", "k": "j + 9", "e": "k + 18", "s": "e + 15", "l": "s + 7", "r": 15}, "premises": {"r": 15}, "target": "d"}, "answer": {"steps": [["q", "z + 15", "z + 21"], ["z", "b + 17", "b + 38"], ["b", "g + 3", "g + 41"], ["g", "v + 10", "v + 51"], ["v", "r + 16", "r + 67"], ["r", 15, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"r": 15}, "is_reverse": true}} | 16,054 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = r + 13; e = k + 18; d = q + 6; j = y + 3; b = g + 3; v = r + 16; r = 15; k = j + 9; l = s + 7; q = z + 15; z = b + 17; s = e + 15; g = v + 10. Given that r = 15, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 15 to d, which gives d = z + 21.\n2. Substitute z = b + 17 to d, which gives d = b + 38.\n3. Substitute b = g + 3 to d, which gives d = g + 41.\n4. Substitute g = v + 10 to d, which gives d = v + 51.\n5. Substitute v = r + 16 to d, which gives d = r + 67.\n6. Substitute r = 15 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 16054,
"question": "Suppose a collection of variables is related by the following definitions: y = r + 13; e = k + 18; d = q + 6; j = y + 3; b = g + 3; v = r + 16; r = 15; k = j + 9; l = s + 7; q = z + 15; z = b + 17; s = e + 15; g = v + 10. Given that r = 15, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 14", "x": "z + 6", "u": "x + 8", "m": "u + 15", "a": "m + 3", "n": "a + 14", "d": "b + 9", "l": "d + 18", "j": "l + 9", "v": "j + 13", "f": "v + 4", "c": "f + 19", "b": 15}, "premises": {"b": 15}, "target": "n"}, "answer": {"steps": [["a", "m + 3", "m + 17"], ["m", "u + 15", "u + 32"], ["u", "x + 8", "x + 40"], ["x", "z + 6", "z + 46"], ["z", "b + 14", "b + 60"], ["b", 15, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"b": 15}, "is_reverse": true}} | 16,055 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 15; c = f + 19; a = m + 3; n = a + 14; d = b + 9; j = l + 9; l = d + 18; x = z + 6; m = u + 15; f = v + 4; z = b + 14; v = j + 13; u = x + 8. If b = 15, determine 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 a = m + 3 to n, which gives n = m + 17.\n2. Substitute m = u + 15 to n, which gives n = u + 32.\n3. Substitute u = x + 8 to n, which gives n = x + 40.\n4. Substitute x = z + 6 to n, which gives n = z + 46.\n5. Substitute z = b + 14 to n, which gives n = b + 60.\n6. Substitute b = 15 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 16055,
"question": "Consider a system of variables where each variable is defined as follows: b = 15; c = f + 19; a = m + 3; n = a + 14; d = b + 9; j = l + 9; l = d + 18; x = z + 6; m = u + 15; f = v + 4; z = b + 14; v = j + 13; u = x + 8. If b = 15, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "t + 16", "c": "k + 3", "y": "c + 3", "r": "y + 13", "g": "r + 10", "i": "g + 19", "q": "t + 16", "e": "q + 12", "z": "e + 19", "a": "z + 15", "s": "a + 1", "p": "s + 12", "t": 3}, "premises": {"t": 3}, "target": "i"}, "answer": {"steps": [["g", "r + 10", "r + 29"], ["r", "y + 13", "y + 42"], ["y", "c + 3", "c + 45"], ["c", "k + 3", "k + 48"], ["k", "t + 16", "t + 64"], ["t", 3, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"t": 3}, "is_reverse": true}} | 16,056 | 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 = r + 10; t = 3; z = e + 19; s = a + 1; p = s + 12; y = c + 3; a = z + 15; k = t + 16; q = t + 16; r = y + 13; c = k + 3; i = g + 19; e = q + 12. If t = 3, what is the resulting 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 g = r + 10 to i, which gives i = r + 29.\n2. Substitute r = y + 13 to i, which gives i = y + 42.\n3. Substitute y = c + 3 to i, which gives i = c + 45.\n4. Substitute c = k + 3 to i, which gives i = k + 48.\n5. Substitute k = t + 16 to i, which gives i = t + 64.\n6. Substitute t = 3 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 16056,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = r + 10; t = 3; z = e + 19; s = a + 1; p = s + 12; y = c + 3; a = z + 15; k = t + 16; q = t + 16; r = y + 13; c = k + 3; i = g + 19; e = q + 12. If t = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 10", "z": "i + 7", "p": "z + 8", "r": "p + 18", "t": "r + 7", "c": "t + 20", "k": "h + 1", "e": "k + 11", "q": "e + 20", "v": "q + 2", "y": "v + 1", "x": "y + 5", "h": 18}, "premises": {"h": 18}, "target": "c"}, "answer": {"steps": [["t", "r + 7", "r + 27"], ["r", "p + 18", "p + 45"], ["p", "z + 8", "z + 53"], ["z", "i + 7", "i + 60"], ["i", "h + 10", "h + 70"], ["h", 18, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"h": 18}, "is_reverse": true}} | 16,057 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 18; p = z + 8; v = q + 2; i = h + 10; y = v + 1; c = t + 20; r = p + 18; e = k + 11; x = y + 5; k = h + 1; z = i + 7; q = e + 20; t = r + 7. If h = 18, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 7 to c, which gives c = r + 27.\n2. Substitute r = p + 18 to c, which gives c = p + 45.\n3. Substitute p = z + 8 to c, which gives c = z + 53.\n4. Substitute z = i + 7 to c, which gives c = i + 60.\n5. Substitute i = h + 10 to c, which gives c = h + 70.\n6. Substitute h = 18 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 16057,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 18; p = z + 8; v = q + 2; i = h + 10; y = v + 1; c = t + 20; r = p + 18; e = k + 11; x = y + 5; k = h + 1; z = i + 7; q = e + 20; t = r + 7. If h = 18, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 11", "f": "m + 18", "o": "f + 4", "b": "o + 19", "h": "b + 5", "w": "h + 12", "s": "c + 6", "y": "s + 5", "l": "y + 2", "n": "l + 6", "t": "n + 8", "v": "t + 17", "c": 8}, "premises": {"c": 8}, "target": "w"}, "answer": {"steps": [["h", "b + 5", "b + 17"], ["b", "o + 19", "o + 36"], ["o", "f + 4", "f + 40"], ["f", "m + 18", "m + 58"], ["m", "c + 11", "c + 69"], ["c", 8, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"c": 8}, "is_reverse": true}} | 16,058 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = o + 19; m = c + 11; h = b + 5; w = h + 12; y = s + 5; t = n + 8; f = m + 18; s = c + 6; l = y + 2; v = t + 17; o = f + 4; c = 8; n = l + 6. Given that c = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 5 to w, which gives w = b + 17.\n2. Substitute b = o + 19 to w, which gives w = o + 36.\n3. Substitute o = f + 4 to w, which gives w = f + 40.\n4. Substitute f = m + 18 to w, which gives w = m + 58.\n5. Substitute m = c + 11 to w, which gives w = c + 69.\n6. Substitute c = 8 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 16058,
"question": "Suppose a collection of variables is related by the following definitions: b = o + 19; m = c + 11; h = b + 5; w = h + 12; y = s + 5; t = n + 8; f = m + 18; s = c + 6; l = y + 2; v = t + 17; o = f + 4; c = 8; n = l + 6. Given that c = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 1", "r": "u + 16", "e": "r + 9", "g": "e + 9", "m": "g + 6", "i": "m + 3", "n": "p + 13", "l": "n + 6", "s": "l + 12", "w": "s + 9", "b": "w + 20", "y": "b + 7", "p": 5}, "premises": {"p": 5}, "target": "i"}, "answer": {"steps": [["m", "g + 6", "g + 9"], ["g", "e + 9", "e + 18"], ["e", "r + 9", "r + 27"], ["r", "u + 16", "u + 43"], ["u", "p + 1", "p + 44"], ["p", 5, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"p": 5}, "is_reverse": true}} | 16,059 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 9; y = b + 7; g = e + 9; b = w + 20; p = 5; n = p + 13; s = l + 12; m = g + 6; e = r + 9; l = n + 6; u = p + 1; i = m + 3; r = u + 16. If p = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 6 to i, which gives i = g + 9.\n2. Substitute g = e + 9 to i, which gives i = e + 18.\n3. Substitute e = r + 9 to i, which gives i = r + 27.\n4. Substitute r = u + 16 to i, which gives i = u + 43.\n5. Substitute u = p + 1 to i, which gives i = p + 44.\n6. Substitute p = 5 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 16059,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = s + 9; y = b + 7; g = e + 9; b = w + 20; p = 5; n = p + 13; s = l + 12; m = g + 6; e = r + 9; l = n + 6; u = p + 1; i = m + 3; r = u + 16. If p = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 1", "z": "j + 18", "x": "z + 1", "h": "x + 7", "l": "h + 2", "n": "l + 9", "q": "d + 10", "a": "q + 6", "r": "a + 3", "f": "r + 6", "i": "f + 14", "k": "i + 17", "d": 11}, "premises": {"d": 11}, "target": "n"}, "answer": {"steps": [["l", "h + 2", "h + 11"], ["h", "x + 7", "x + 18"], ["x", "z + 1", "z + 19"], ["z", "j + 18", "j + 37"], ["j", "d + 1", "d + 38"], ["d", 11, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"d": 11}, "is_reverse": true}} | 16,060 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 6; x = z + 1; i = f + 14; r = a + 3; h = x + 7; l = h + 2; j = d + 1; d = 11; a = q + 6; q = d + 10; k = i + 17; z = j + 18; n = l + 9. Given that d = 11, find the 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 l = h + 2 to n, which gives n = h + 11.\n2. Substitute h = x + 7 to n, which gives n = x + 18.\n3. Substitute x = z + 1 to n, which gives n = z + 19.\n4. Substitute z = j + 18 to n, which gives n = j + 37.\n5. Substitute j = d + 1 to n, which gives n = d + 38.\n6. Substitute d = 11 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 16060,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 6; x = z + 1; i = f + 14; r = a + 3; h = x + 7; l = h + 2; j = d + 1; d = 11; a = q + 6; q = d + 10; k = i + 17; z = j + 18; n = l + 9. Given that d = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 10", "b": "g + 15", "m": "b + 17", "c": "m + 2", "v": "c + 5", "u": "v + 11", "f": "r + 3", "h": "f + 17", "y": "h + 18", "j": "y + 13", "k": "j + 2", "p": "k + 20", "r": 1}, "premises": {"r": 1}, "target": "u"}, "answer": {"steps": [["v", "c + 5", "c + 16"], ["c", "m + 2", "m + 18"], ["m", "b + 17", "b + 35"], ["b", "g + 15", "g + 50"], ["g", "r + 10", "r + 60"], ["r", 1, "61"]], "target_var_name": "u", "target_value": 61, "value_dict": {"r": 1}, "is_reverse": true}} | 16,061 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = m + 2; m = b + 17; u = v + 11; f = r + 3; p = k + 20; v = c + 5; y = h + 18; r = 1; j = y + 13; g = r + 10; h = f + 17; b = g + 15; k = j + 2. Given that r = 1, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 5 to u, which gives u = c + 16.\n2. Substitute c = m + 2 to u, which gives u = m + 18.\n3. Substitute m = b + 17 to u, which gives u = b + 35.\n4. Substitute b = g + 15 to u, which gives u = g + 50.\n5. Substitute g = r + 10 to u, which gives u = r + 60.\n6. Substitute r = 1 to u, which gives u = 61.\n\nThus, the final answer is u = \\boxed{61}.",
"index": 16061,
"question": "Suppose a collection of variables is related by the following definitions: c = m + 2; m = b + 17; u = v + 11; f = r + 3; p = k + 20; v = c + 5; y = h + 18; r = 1; j = y + 13; g = r + 10; h = f + 17; b = g + 15; k = j + 2. Given that r = 1, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 17", "t": "n + 10", "d": "t + 9", "c": "d + 18", "e": "c + 5", "p": "e + 13", "k": "o + 18", "x": "k + 14", "u": "x + 15", "q": "u + 15", "l": "q + 5", "r": "l + 17", "o": 13}, "premises": {"o": 13}, "target": "p"}, "answer": {"steps": [["e", "c + 5", "c + 18"], ["c", "d + 18", "d + 36"], ["d", "t + 9", "t + 45"], ["t", "n + 10", "n + 55"], ["n", "o + 17", "o + 72"], ["o", 13, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"o": 13}, "is_reverse": true}} | 16,062 | 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 = k + 14; k = o + 18; o = 13; c = d + 18; d = t + 9; n = o + 17; q = u + 15; u = x + 15; r = l + 17; p = e + 13; e = c + 5; l = q + 5; t = n + 10. If o = 13, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 5 to p, which gives p = c + 18.\n2. Substitute c = d + 18 to p, which gives p = d + 36.\n3. Substitute d = t + 9 to p, which gives p = t + 45.\n4. Substitute t = n + 10 to p, which gives p = n + 55.\n5. Substitute n = o + 17 to p, which gives p = o + 72.\n6. Substitute o = 13 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 16062,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = k + 14; k = o + 18; o = 13; c = d + 18; d = t + 9; n = o + 17; q = u + 15; u = x + 15; r = l + 17; p = e + 13; e = c + 5; l = q + 5; t = n + 10. If o = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 2", "a": "r + 17", "n": "a + 9", "s": "n + 14", "w": "s + 11", "h": "w + 10", "c": "e + 1", "b": "c + 11", "p": "b + 12", "y": "p + 12", "x": "y + 19", "f": "x + 4", "e": 1}, "premises": {"e": 1}, "target": "h"}, "answer": {"steps": [["w", "s + 11", "s + 21"], ["s", "n + 14", "n + 35"], ["n", "a + 9", "a + 44"], ["a", "r + 17", "r + 61"], ["r", "e + 2", "e + 63"], ["e", 1, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"e": 1}, "is_reverse": true}} | 16,063 | 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 = c + 11; a = r + 17; e = 1; p = b + 12; w = s + 11; s = n + 14; x = y + 19; c = e + 1; y = p + 12; f = x + 4; h = w + 10; r = e + 2; n = a + 9. If e = 1, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 11 to h, which gives h = s + 21.\n2. Substitute s = n + 14 to h, which gives h = n + 35.\n3. Substitute n = a + 9 to h, which gives h = a + 44.\n4. Substitute a = r + 17 to h, which gives h = r + 61.\n5. Substitute r = e + 2 to h, which gives h = e + 63.\n6. Substitute e = 1 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 16063,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = c + 11; a = r + 17; e = 1; p = b + 12; w = s + 11; s = n + 14; x = y + 19; c = e + 1; y = p + 12; f = x + 4; h = w + 10; r = e + 2; n = a + 9. If e = 1, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 11", "c": "v + 4", "s": "c + 5", "u": "s + 8", "n": "u + 13", "m": "n + 18", "f": "p + 11", "x": "f + 5", "r": "x + 10", "a": "r + 14", "j": "a + 12", "g": "j + 1", "p": 4}, "premises": {"p": 4}, "target": "m"}, "answer": {"steps": [["n", "u + 13", "u + 31"], ["u", "s + 8", "s + 39"], ["s", "c + 5", "c + 44"], ["c", "v + 4", "v + 48"], ["v", "p + 11", "p + 59"], ["p", 4, "63"]], "target_var_name": "m", "target_value": 63, "value_dict": {"p": 4}, "is_reverse": true}} | 16,064 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = f + 5; n = u + 13; r = x + 10; m = n + 18; v = p + 11; c = v + 4; g = j + 1; j = a + 12; s = c + 5; u = s + 8; a = r + 14; p = 4; f = p + 11. Given that p = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 13 to m, which gives m = u + 31.\n2. Substitute u = s + 8 to m, which gives m = s + 39.\n3. Substitute s = c + 5 to m, which gives m = c + 44.\n4. Substitute c = v + 4 to m, which gives m = v + 48.\n5. Substitute v = p + 11 to m, which gives m = p + 59.\n6. Substitute p = 4 to m, which gives m = 63.\n\nThus, the final answer is m = \\boxed{63}.",
"index": 16064,
"question": "Suppose a collection of variables is related by the following definitions: x = f + 5; n = u + 13; r = x + 10; m = n + 18; v = p + 11; c = v + 4; g = j + 1; j = a + 12; s = c + 5; u = s + 8; a = r + 14; p = 4; f = p + 11. Given that p = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 10", "j": "f + 19", "n": "j + 2", "z": "n + 6", "g": "z + 14", "h": "g + 10", "c": "i + 17", "t": "c + 13", "o": "t + 17", "p": "o + 18", "s": "p + 5", "d": "s + 7", "i": 18}, "premises": {"i": 18}, "target": "h"}, "answer": {"steps": [["g", "z + 14", "z + 24"], ["z", "n + 6", "n + 30"], ["n", "j + 2", "j + 32"], ["j", "f + 19", "f + 51"], ["f", "i + 10", "i + 61"], ["i", 18, "79"]], "target_var_name": "h", "target_value": 79, "value_dict": {"i": 18}, "is_reverse": true}} | 16,065 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = f + 19; o = t + 17; i = 18; z = n + 6; t = c + 13; f = i + 10; h = g + 10; p = o + 18; n = j + 2; g = z + 14; s = p + 5; c = i + 17; d = s + 7. Given that i = 18, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 14 to h, which gives h = z + 24.\n2. Substitute z = n + 6 to h, which gives h = n + 30.\n3. Substitute n = j + 2 to h, which gives h = j + 32.\n4. Substitute j = f + 19 to h, which gives h = f + 51.\n5. Substitute f = i + 10 to h, which gives h = i + 61.\n6. Substitute i = 18 to h, which gives h = 79.\n\nThus, the final answer is h = \\boxed{79}.",
"index": 16065,
"question": "Suppose a collection of variables is related by the following definitions: j = f + 19; o = t + 17; i = 18; z = n + 6; t = c + 13; f = i + 10; h = g + 10; p = o + 18; n = j + 2; g = z + 14; s = p + 5; c = i + 17; d = s + 7. Given that i = 18, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 7", "w": "a + 2", "h": "w + 14", "j": "h + 16", "l": "j + 20", "z": "l + 6", "b": "p + 6", "t": "b + 20", "c": "t + 5", "g": "c + 15", "o": "g + 9", "m": "o + 5", "p": 1}, "premises": {"p": 1}, "target": "z"}, "answer": {"steps": [["l", "j + 20", "j + 26"], ["j", "h + 16", "h + 42"], ["h", "w + 14", "w + 56"], ["w", "a + 2", "a + 58"], ["a", "p + 7", "p + 65"], ["p", 1, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"p": 1}, "is_reverse": true}} | 16,066 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 1; t = b + 20; h = w + 14; l = j + 20; z = l + 6; a = p + 7; j = h + 16; m = o + 5; o = g + 9; w = a + 2; g = c + 15; c = t + 5; b = p + 6. If p = 1, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 20 to z, which gives z = j + 26.\n2. Substitute j = h + 16 to z, which gives z = h + 42.\n3. Substitute h = w + 14 to z, which gives z = w + 56.\n4. Substitute w = a + 2 to z, which gives z = a + 58.\n5. Substitute a = p + 7 to z, which gives z = p + 65.\n6. Substitute p = 1 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 16066,
"question": "Consider a system of variables where each variable is defined as follows: p = 1; t = b + 20; h = w + 14; l = j + 20; z = l + 6; a = p + 7; j = h + 16; m = o + 5; o = g + 9; w = a + 2; g = c + 15; c = t + 5; b = p + 6. If p = 1, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 16", "k": "v + 19", "r": "k + 10", "m": "r + 14", "i": "m + 13", "p": "i + 20", "d": "w + 10", "b": "d + 17", "n": "b + 12", "t": "n + 20", "f": "t + 15", "g": "f + 10", "w": 4}, "premises": {"w": 4}, "target": "p"}, "answer": {"steps": [["i", "m + 13", "m + 33"], ["m", "r + 14", "r + 47"], ["r", "k + 10", "k + 57"], ["k", "v + 19", "v + 76"], ["v", "w + 16", "w + 92"], ["w", 4, "96"]], "target_var_name": "p", "target_value": 96, "value_dict": {"w": 4}, "is_reverse": true}} | 16,067 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 12; p = i + 20; m = r + 14; w = 4; i = m + 13; g = f + 10; v = w + 16; f = t + 15; b = d + 17; d = w + 10; r = k + 10; k = v + 19; t = n + 20. If w = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = m + 13 to p, which gives p = m + 33.\n2. Substitute m = r + 14 to p, which gives p = r + 47.\n3. Substitute r = k + 10 to p, which gives p = k + 57.\n4. Substitute k = v + 19 to p, which gives p = v + 76.\n5. Substitute v = w + 16 to p, which gives p = w + 92.\n6. Substitute w = 4 to p, which gives p = 96.\n\nThus, the final answer is p = \\boxed{96}.",
"index": 16067,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = b + 12; p = i + 20; m = r + 14; w = 4; i = m + 13; g = f + 10; v = w + 16; f = t + 15; b = d + 17; d = w + 10; r = k + 10; k = v + 19; t = n + 20. If w = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 20", "p": "t + 5", "q": "p + 1", "l": "q + 11", "w": "l + 18", "y": "w + 19", "m": "c + 17", "v": "m + 12", "x": "v + 5", "s": "x + 3", "e": "s + 6", "j": "e + 16", "c": 11}, "premises": {"c": 11}, "target": "y"}, "answer": {"steps": [["w", "l + 18", "l + 37"], ["l", "q + 11", "q + 48"], ["q", "p + 1", "p + 49"], ["p", "t + 5", "t + 54"], ["t", "c + 20", "c + 74"], ["c", 11, "85"]], "target_var_name": "y", "target_value": 85, "value_dict": {"c": 11}, "is_reverse": true}} | 16,068 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = c + 20; p = t + 5; v = m + 12; q = p + 1; j = e + 16; l = q + 11; w = l + 18; c = 11; m = c + 17; x = v + 5; y = w + 19; s = x + 3; e = s + 6. Given that c = 11, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 18 to y, which gives y = l + 37.\n2. Substitute l = q + 11 to y, which gives y = q + 48.\n3. Substitute q = p + 1 to y, which gives y = p + 49.\n4. Substitute p = t + 5 to y, which gives y = t + 54.\n5. Substitute t = c + 20 to y, which gives y = c + 74.\n6. Substitute c = 11 to y, which gives y = 85.\n\nThus, the final answer is y = \\boxed{85}.",
"index": 16068,
"question": "Suppose a collection of variables is related by the following definitions: t = c + 20; p = t + 5; v = m + 12; q = p + 1; j = e + 16; l = q + 11; w = l + 18; c = 11; m = c + 17; x = v + 5; y = w + 19; s = x + 3; e = s + 6. Given that c = 11, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"w": "b + 13", "p": "w + 14", "r": "p + 17", "j": "r + 7", "c": "j + 1", "i": "c + 7", "v": "b + 2", "e": "v + 18", "y": "e + 3", "u": "y + 12", "l": "u + 9", "o": "l + 17", "b": 1}, "premises": {"b": 1}, "target": "i"}, "answer": {"steps": [["c", "j + 1", "j + 8"], ["j", "r + 7", "r + 15"], ["r", "p + 17", "p + 32"], ["p", "w + 14", "w + 46"], ["w", "b + 13", "b + 59"], ["b", 1, "60"]], "target_var_name": "i", "target_value": 60, "value_dict": {"b": 1}, "is_reverse": true}} | 16,069 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = w + 14; u = y + 12; c = j + 1; y = e + 3; i = c + 7; v = b + 2; w = b + 13; j = r + 7; b = 1; l = u + 9; r = p + 17; e = v + 18; o = l + 17. If b = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 1 to i, which gives i = j + 8.\n2. Substitute j = r + 7 to i, which gives i = r + 15.\n3. Substitute r = p + 17 to i, which gives i = p + 32.\n4. Substitute p = w + 14 to i, which gives i = w + 46.\n5. Substitute w = b + 13 to i, which gives i = b + 59.\n6. Substitute b = 1 to i, which gives i = 60.\n\nThus, the final answer is i = \\boxed{60}.",
"index": 16069,
"question": "Consider a system of variables where each variable is defined as follows: p = w + 14; u = y + 12; c = j + 1; y = e + 3; i = c + 7; v = b + 2; w = b + 13; j = r + 7; b = 1; l = u + 9; r = p + 17; e = v + 18; o = l + 17. If b = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 3", "s": "c + 1", "j": "s + 14", "n": "j + 12", "p": "n + 20", "d": "p + 14", "z": "h + 9", "u": "z + 19", "v": "u + 9", "w": "v + 15", "r": "w + 6", "o": "r + 14", "h": 15}, "premises": {"h": 15}, "target": "d"}, "answer": {"steps": [["p", "n + 20", "n + 34"], ["n", "j + 12", "j + 46"], ["j", "s + 14", "s + 60"], ["s", "c + 1", "c + 61"], ["c", "h + 3", "h + 64"], ["h", 15, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"h": 15}, "is_reverse": true}} | 16,070 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 3; n = j + 12; z = h + 9; v = u + 9; h = 15; p = n + 20; w = v + 15; r = w + 6; u = z + 19; s = c + 1; d = p + 14; o = r + 14; j = s + 14. If h = 15, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 20 to d, which gives d = n + 34.\n2. Substitute n = j + 12 to d, which gives d = j + 46.\n3. Substitute j = s + 14 to d, which gives d = s + 60.\n4. Substitute s = c + 1 to d, which gives d = c + 61.\n5. Substitute c = h + 3 to d, which gives d = h + 64.\n6. Substitute h = 15 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 16070,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 3; n = j + 12; z = h + 9; v = u + 9; h = 15; p = n + 20; w = v + 15; r = w + 6; u = z + 19; s = c + 1; d = p + 14; o = r + 14; j = s + 14. If h = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 5", "g": "c + 13", "h": "g + 15", "a": "h + 19", "k": "a + 17", "v": "k + 9", "u": "x + 18", "b": "u + 19", "f": "b + 2", "q": "f + 16", "l": "q + 11", "w": "l + 14", "x": 1}, "premises": {"x": 1}, "target": "v"}, "answer": {"steps": [["k", "a + 17", "a + 26"], ["a", "h + 19", "h + 45"], ["h", "g + 15", "g + 60"], ["g", "c + 13", "c + 73"], ["c", "x + 5", "x + 78"], ["x", 1, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"x": 1}, "is_reverse": true}} | 16,071 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = g + 15; q = f + 16; k = a + 17; u = x + 18; v = k + 9; a = h + 19; f = b + 2; b = u + 19; x = 1; c = x + 5; l = q + 11; w = l + 14; g = c + 13. If x = 1, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 17 to v, which gives v = a + 26.\n2. Substitute a = h + 19 to v, which gives v = h + 45.\n3. Substitute h = g + 15 to v, which gives v = g + 60.\n4. Substitute g = c + 13 to v, which gives v = c + 73.\n5. Substitute c = x + 5 to v, which gives v = x + 78.\n6. Substitute x = 1 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 16071,
"question": "Consider a system of variables where each variable is defined as follows: h = g + 15; q = f + 16; k = a + 17; u = x + 18; v = k + 9; a = h + 19; f = b + 2; b = u + 19; x = 1; c = x + 5; l = q + 11; w = l + 14; g = c + 13. If x = 1, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 1", "b": "t + 4", "m": "b + 6", "e": "m + 18", "y": "e + 4", "s": "y + 14", "u": "x + 11", "q": "u + 3", "p": "q + 15", "o": "p + 17", "z": "o + 20", "i": "z + 5", "x": 14}, "premises": {"x": 14}, "target": "s"}, "answer": {"steps": [["y", "e + 4", "e + 18"], ["e", "m + 18", "m + 36"], ["m", "b + 6", "b + 42"], ["b", "t + 4", "t + 46"], ["t", "x + 1", "x + 47"], ["x", 14, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"x": 14}, "is_reverse": true}} | 16,072 | 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 = e + 4; q = u + 3; s = y + 14; u = x + 11; e = m + 18; p = q + 15; b = t + 4; m = b + 6; x = 14; t = x + 1; i = z + 5; o = p + 17; z = o + 20. If x = 14, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 4 to s, which gives s = e + 18.\n2. Substitute e = m + 18 to s, which gives s = m + 36.\n3. Substitute m = b + 6 to s, which gives s = b + 42.\n4. Substitute b = t + 4 to s, which gives s = t + 46.\n5. Substitute t = x + 1 to s, which gives s = x + 47.\n6. Substitute x = 14 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 16072,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = e + 4; q = u + 3; s = y + 14; u = x + 11; e = m + 18; p = q + 15; b = t + 4; m = b + 6; x = 14; t = x + 1; i = z + 5; o = p + 17; z = o + 20. If x = 14, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"a": "g + 10", "q": "a + 6", "f": "q + 19", "p": "f + 15", "y": "p + 11", "l": "y + 12", "m": "g + 1", "c": "m + 2", "i": "c + 7", "b": "i + 5", "j": "b + 11", "n": "j + 17", "g": 5}, "premises": {"g": 5}, "target": "l"}, "answer": {"steps": [["y", "p + 11", "p + 23"], ["p", "f + 15", "f + 38"], ["f", "q + 19", "q + 57"], ["q", "a + 6", "a + 63"], ["a", "g + 10", "g + 73"], ["g", 5, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"g": 5}, "is_reverse": true}} | 16,073 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 5; j = b + 11; y = p + 11; i = c + 7; l = y + 12; c = m + 2; n = j + 17; m = g + 1; f = q + 19; b = i + 5; a = g + 10; p = f + 15; q = a + 6. Given that g = 5, 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 y = p + 11 to l, which gives l = p + 23.\n2. Substitute p = f + 15 to l, which gives l = f + 38.\n3. Substitute f = q + 19 to l, which gives l = q + 57.\n4. Substitute q = a + 6 to l, which gives l = a + 63.\n5. Substitute a = g + 10 to l, which gives l = g + 73.\n6. Substitute g = 5 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 16073,
"question": "Suppose a collection of variables is related by the following definitions: g = 5; j = b + 11; y = p + 11; i = c + 7; l = y + 12; c = m + 2; n = j + 17; m = g + 1; f = q + 19; b = i + 5; a = g + 10; p = f + 15; q = a + 6. Given that g = 5, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 11", "k": "z + 15", "j": "k + 4", "p": "j + 6", "d": "p + 1", "o": "d + 16", "u": "a + 14", "b": "u + 6", "c": "b + 7", "h": "c + 8", "w": "h + 11", "l": "w + 15", "a": 8}, "premises": {"a": 8}, "target": "o"}, "answer": {"steps": [["d", "p + 1", "p + 17"], ["p", "j + 6", "j + 23"], ["j", "k + 4", "k + 27"], ["k", "z + 15", "z + 42"], ["z", "a + 11", "a + 53"], ["a", 8, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"a": 8}, "is_reverse": true}} | 16,074 | 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 = b + 7; l = w + 15; k = z + 15; h = c + 8; j = k + 4; d = p + 1; w = h + 11; z = a + 11; o = d + 16; a = 8; b = u + 6; p = j + 6; u = a + 14. If a = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 1 to o, which gives o = p + 17.\n2. Substitute p = j + 6 to o, which gives o = j + 23.\n3. Substitute j = k + 4 to o, which gives o = k + 27.\n4. Substitute k = z + 15 to o, which gives o = z + 42.\n5. Substitute z = a + 11 to o, which gives o = a + 53.\n6. Substitute a = 8 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 16074,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 7; l = w + 15; k = z + 15; h = c + 8; j = k + 4; d = p + 1; w = h + 11; z = a + 11; o = d + 16; a = 8; b = u + 6; p = j + 6; u = a + 14. If a = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 10", "o": "t + 9", "f": "o + 9", "x": "f + 20", "z": "x + 5", "h": "z + 4", "v": "p + 20", "b": "v + 3", "m": "b + 6", "w": "m + 5", "s": "w + 20", "i": "s + 16", "p": 19}, "premises": {"p": 19}, "target": "h"}, "answer": {"steps": [["z", "x + 5", "x + 9"], ["x", "f + 20", "f + 29"], ["f", "o + 9", "o + 38"], ["o", "t + 9", "t + 47"], ["t", "p + 10", "p + 57"], ["p", 19, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"p": 19}, "is_reverse": true}} | 16,075 | 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 = z + 4; b = v + 3; m = b + 6; p = 19; i = s + 16; s = w + 20; z = x + 5; x = f + 20; o = t + 9; t = p + 10; f = o + 9; v = p + 20; w = m + 5. If p = 19, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 5 to h, which gives h = x + 9.\n2. Substitute x = f + 20 to h, which gives h = f + 29.\n3. Substitute f = o + 9 to h, which gives h = o + 38.\n4. Substitute o = t + 9 to h, which gives h = t + 47.\n5. Substitute t = p + 10 to h, which gives h = p + 57.\n6. Substitute p = 19 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 16075,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = z + 4; b = v + 3; m = b + 6; p = 19; i = s + 16; s = w + 20; z = x + 5; x = f + 20; o = t + 9; t = p + 10; f = o + 9; v = p + 20; w = m + 5. If p = 19, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 7", "u": "j + 12", "r": "u + 4", "d": "r + 2", "a": "d + 19", "l": "a + 8", "n": "o + 10", "x": "n + 20", "s": "x + 3", "h": "s + 3", "q": "h + 20", "t": "q + 15", "o": 20}, "premises": {"o": 20}, "target": "l"}, "answer": {"steps": [["a", "d + 19", "d + 27"], ["d", "r + 2", "r + 29"], ["r", "u + 4", "u + 33"], ["u", "j + 12", "j + 45"], ["j", "o + 7", "o + 52"], ["o", 20, "72"]], "target_var_name": "l", "target_value": 72, "value_dict": {"o": 20}, "is_reverse": true}} | 16,076 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = h + 20; o = 20; t = q + 15; h = s + 3; d = r + 2; l = a + 8; j = o + 7; a = d + 19; n = o + 10; s = x + 3; r = u + 4; x = n + 20; u = j + 12. Given that o = 20, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 19 to l, which gives l = d + 27.\n2. Substitute d = r + 2 to l, which gives l = r + 29.\n3. Substitute r = u + 4 to l, which gives l = u + 33.\n4. Substitute u = j + 12 to l, which gives l = j + 45.\n5. Substitute j = o + 7 to l, which gives l = o + 52.\n6. Substitute o = 20 to l, which gives l = 72.\n\nThus, the final answer is l = \\boxed{72}.",
"index": 16076,
"question": "Suppose a collection of variables is related by the following definitions: q = h + 20; o = 20; t = q + 15; h = s + 3; d = r + 2; l = a + 8; j = o + 7; a = d + 19; n = o + 10; s = x + 3; r = u + 4; x = n + 20; u = j + 12. Given that o = 20, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "w + 7", "c": "s + 16", "r": "c + 8", "p": "r + 7", "m": "p + 18", "t": "m + 11", "b": "w + 10", "a": "b + 9", "j": "a + 20", "f": "j + 3", "u": "f + 8", "h": "u + 6", "w": 18}, "premises": {"w": 18}, "target": "t"}, "answer": {"steps": [["m", "p + 18", "p + 29"], ["p", "r + 7", "r + 36"], ["r", "c + 8", "c + 44"], ["c", "s + 16", "s + 60"], ["s", "w + 7", "w + 67"], ["w", 18, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"w": 18}, "is_reverse": true}} | 16,077 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 6; t = m + 11; p = r + 7; w = 18; m = p + 18; r = c + 8; s = w + 7; b = w + 10; c = s + 16; f = j + 3; j = a + 20; u = f + 8; a = b + 9. If w = 18, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 18 to t, which gives t = p + 29.\n2. Substitute p = r + 7 to t, which gives t = r + 36.\n3. Substitute r = c + 8 to t, which gives t = c + 44.\n4. Substitute c = s + 16 to t, which gives t = s + 60.\n5. Substitute s = w + 7 to t, which gives t = w + 67.\n6. Substitute w = 18 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 16077,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = u + 6; t = m + 11; p = r + 7; w = 18; m = p + 18; r = c + 8; s = w + 7; b = w + 10; c = s + 16; f = j + 3; j = a + 20; u = f + 8; a = b + 9. If w = 18, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"d": "t + 7", "e": "d + 3", "v": "e + 11", "x": "v + 18", "h": "x + 6", "c": "h + 10", "j": "t + 9", "q": "j + 4", "o": "q + 16", "i": "o + 6", "k": "i + 12", "f": "k + 8", "t": 9}, "premises": {"t": 9}, "target": "c"}, "answer": {"steps": [["h", "x + 6", "x + 16"], ["x", "v + 18", "v + 34"], ["v", "e + 11", "e + 45"], ["e", "d + 3", "d + 48"], ["d", "t + 7", "t + 55"], ["t", 9, "64"]], "target_var_name": "c", "target_value": 64, "value_dict": {"t": 9}, "is_reverse": true}} | 16,078 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 4; o = q + 16; i = o + 6; h = x + 6; t = 9; d = t + 7; j = t + 9; c = h + 10; k = i + 12; e = d + 3; v = e + 11; f = k + 8; x = v + 18. If t = 9, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 6 to c, which gives c = x + 16.\n2. Substitute x = v + 18 to c, which gives c = v + 34.\n3. Substitute v = e + 11 to c, which gives c = e + 45.\n4. Substitute e = d + 3 to c, which gives c = d + 48.\n5. Substitute d = t + 7 to c, which gives c = t + 55.\n6. Substitute t = 9 to c, which gives c = 64.\n\nThus, the final answer is c = \\boxed{64}.",
"index": 16078,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 4; o = q + 16; i = o + 6; h = x + 6; t = 9; d = t + 7; j = t + 9; c = h + 10; k = i + 12; e = d + 3; v = e + 11; f = k + 8; x = v + 18. If t = 9, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"g": "f + 1", "d": "g + 17", "z": "d + 7", "p": "z + 10", "s": "p + 11", "q": "s + 1", "b": "f + 11", "r": "b + 6", "o": "r + 8", "c": "o + 16", "j": "c + 19", "i": "j + 1", "f": 14}, "premises": {"f": 14}, "target": "q"}, "answer": {"steps": [["s", "p + 11", "p + 12"], ["p", "z + 10", "z + 22"], ["z", "d + 7", "d + 29"], ["d", "g + 17", "g + 46"], ["g", "f + 1", "f + 47"], ["f", 14, "61"]], "target_var_name": "q", "target_value": 61, "value_dict": {"f": 14}, "is_reverse": true}} | 16,079 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 11; r = b + 6; i = j + 1; z = d + 7; j = c + 19; o = r + 8; s = p + 11; d = g + 17; g = f + 1; c = o + 16; q = s + 1; f = 14; p = z + 10. If f = 14, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 11 to q, which gives q = p + 12.\n2. Substitute p = z + 10 to q, which gives q = z + 22.\n3. Substitute z = d + 7 to q, which gives q = d + 29.\n4. Substitute d = g + 17 to q, which gives q = g + 46.\n5. Substitute g = f + 1 to q, which gives q = f + 47.\n6. Substitute f = 14 to q, which gives q = 61.\n\nThus, the final answer is q = \\boxed{61}.",
"index": 16079,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = f + 11; r = b + 6; i = j + 1; z = d + 7; j = c + 19; o = r + 8; s = p + 11; d = g + 17; g = f + 1; c = o + 16; q = s + 1; f = 14; p = z + 10. If f = 14, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 1", "x": "c + 12", "p": "x + 12", "b": "p + 3", "a": "b + 16", "z": "a + 18", "y": "n + 3", "h": "y + 7", "q": "h + 16", "o": "q + 15", "f": "o + 12", "s": "f + 3", "n": 19}, "premises": {"n": 19}, "target": "z"}, "answer": {"steps": [["a", "b + 16", "b + 34"], ["b", "p + 3", "p + 37"], ["p", "x + 12", "x + 49"], ["x", "c + 12", "c + 61"], ["c", "n + 1", "n + 62"], ["n", 19, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"n": 19}, "is_reverse": true}} | 16,080 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = 19; s = f + 3; z = a + 18; f = o + 12; q = h + 16; a = b + 16; y = n + 3; h = y + 7; x = c + 12; c = n + 1; o = q + 15; p = x + 12; b = p + 3. Given that n = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 16 to z, which gives z = b + 34.\n2. Substitute b = p + 3 to z, which gives z = p + 37.\n3. Substitute p = x + 12 to z, which gives z = x + 49.\n4. Substitute x = c + 12 to z, which gives z = c + 61.\n5. Substitute c = n + 1 to z, which gives z = n + 62.\n6. Substitute n = 19 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 16080,
"question": "Suppose a collection of variables is related by the following definitions: n = 19; s = f + 3; z = a + 18; f = o + 12; q = h + 16; a = b + 16; y = n + 3; h = y + 7; x = c + 12; c = n + 1; o = q + 15; p = x + 12; b = p + 3. Given that n = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 17", "x": "h + 17", "k": "x + 10", "u": "k + 19", "s": "u + 8", "p": "s + 7", "j": "i + 19", "e": "j + 17", "z": "e + 17", "g": "z + 3", "t": "g + 6", "q": "t + 19", "i": 8}, "premises": {"i": 8}, "target": "p"}, "answer": {"steps": [["s", "u + 8", "u + 15"], ["u", "k + 19", "k + 34"], ["k", "x + 10", "x + 44"], ["x", "h + 17", "h + 61"], ["h", "i + 17", "i + 78"], ["i", 8, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"i": 8}, "is_reverse": true}} | 16,081 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = t + 19; t = g + 6; i = 8; z = e + 17; g = z + 3; j = i + 19; p = s + 7; x = h + 17; h = i + 17; e = j + 17; s = u + 8; k = x + 10; u = k + 19. If i = 8, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 8 to p, which gives p = u + 15.\n2. Substitute u = k + 19 to p, which gives p = k + 34.\n3. Substitute k = x + 10 to p, which gives p = x + 44.\n4. Substitute x = h + 17 to p, which gives p = h + 61.\n5. Substitute h = i + 17 to p, which gives p = i + 78.\n6. Substitute i = 8 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 16081,
"question": "Consider a system of variables where each variable is defined as follows: q = t + 19; t = g + 6; i = 8; z = e + 17; g = z + 3; j = i + 19; p = s + 7; x = h + 17; h = i + 17; e = j + 17; s = u + 8; k = x + 10; u = k + 19. If i = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 14", "b": "n + 1", "r": "b + 9", "v": "r + 10", "s": "v + 19", "p": "s + 17", "z": "g + 10", "i": "z + 10", "q": "i + 10", "t": "q + 17", "y": "t + 2", "l": "y + 13", "g": 19}, "premises": {"g": 19}, "target": "p"}, "answer": {"steps": [["s", "v + 19", "v + 36"], ["v", "r + 10", "r + 46"], ["r", "b + 9", "b + 55"], ["b", "n + 1", "n + 56"], ["n", "g + 14", "g + 70"], ["g", 19, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"g": 19}, "is_reverse": true}} | 16,082 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = g + 10; n = g + 14; s = v + 19; q = i + 10; v = r + 10; b = n + 1; g = 19; l = y + 13; i = z + 10; r = b + 9; t = q + 17; p = s + 17; y = t + 2. Given that g = 19, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 19 to p, which gives p = v + 36.\n2. Substitute v = r + 10 to p, which gives p = r + 46.\n3. Substitute r = b + 9 to p, which gives p = b + 55.\n4. Substitute b = n + 1 to p, which gives p = n + 56.\n5. Substitute n = g + 14 to p, which gives p = g + 70.\n6. Substitute g = 19 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 16082,
"question": "Suppose a collection of variables is related by the following definitions: z = g + 10; n = g + 14; s = v + 19; q = i + 10; v = r + 10; b = n + 1; g = 19; l = y + 13; i = z + 10; r = b + 9; t = q + 17; p = s + 17; y = t + 2. Given that g = 19, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 6", "n": "m + 18", "x": "n + 19", "k": "x + 17", "s": "k + 15", "p": "s + 6", "c": "q + 15", "z": "c + 8", "d": "z + 15", "r": "d + 13", "y": "r + 12", "b": "y + 9", "q": 1}, "premises": {"q": 1}, "target": "p"}, "answer": {"steps": [["s", "k + 15", "k + 21"], ["k", "x + 17", "x + 38"], ["x", "n + 19", "n + 57"], ["n", "m + 18", "m + 75"], ["m", "q + 6", "q + 81"], ["q", 1, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"q": 1}, "is_reverse": true}} | 16,083 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 9; m = q + 6; r = d + 13; c = q + 15; k = x + 17; x = n + 19; s = k + 15; z = c + 8; y = r + 12; q = 1; d = z + 15; n = m + 18; p = s + 6. Given that q = 1, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 15 to p, which gives p = k + 21.\n2. Substitute k = x + 17 to p, which gives p = x + 38.\n3. Substitute x = n + 19 to p, which gives p = n + 57.\n4. Substitute n = m + 18 to p, which gives p = m + 75.\n5. Substitute m = q + 6 to p, which gives p = q + 81.\n6. Substitute q = 1 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 16083,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 9; m = q + 6; r = d + 13; c = q + 15; k = x + 17; x = n + 19; s = k + 15; z = c + 8; y = r + 12; q = 1; d = z + 15; n = m + 18; p = s + 6. Given that q = 1, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"s": "d + 8", "h": "s + 6", "j": "h + 9", "e": "j + 19", "c": "e + 18", "w": "c + 14", "p": "d + 17", "k": "p + 12", "g": "k + 5", "m": "g + 8", "i": "m + 6", "f": "i + 19", "d": 11}, "premises": {"d": 11}, "target": "w"}, "answer": {"steps": [["c", "e + 18", "e + 32"], ["e", "j + 19", "j + 51"], ["j", "h + 9", "h + 60"], ["h", "s + 6", "s + 66"], ["s", "d + 8", "d + 74"], ["d", 11, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"d": 11}, "is_reverse": true}} | 16,084 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = k + 5; p = d + 17; d = 11; s = d + 8; w = c + 14; i = m + 6; c = e + 18; m = g + 8; f = i + 19; e = j + 19; k = p + 12; j = h + 9; h = s + 6. If d = 11, determine the 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 c = e + 18 to w, which gives w = e + 32.\n2. Substitute e = j + 19 to w, which gives w = j + 51.\n3. Substitute j = h + 9 to w, which gives w = h + 60.\n4. Substitute h = s + 6 to w, which gives w = s + 66.\n5. Substitute s = d + 8 to w, which gives w = d + 74.\n6. Substitute d = 11 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 16084,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 5; p = d + 17; d = 11; s = d + 8; w = c + 14; i = m + 6; c = e + 18; m = g + 8; f = i + 19; e = j + 19; k = p + 12; j = h + 9; h = s + 6. If d = 11, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 10", "f": "o + 8", "w": "f + 2", "e": "w + 9", "a": "e + 14", "v": "a + 1", "t": "x + 10", "z": "t + 20", "u": "z + 10", "s": "u + 17", "j": "s + 9", "h": "j + 6", "x": 8}, "premises": {"x": 8}, "target": "v"}, "answer": {"steps": [["a", "e + 14", "e + 15"], ["e", "w + 9", "w + 24"], ["w", "f + 2", "f + 26"], ["f", "o + 8", "o + 34"], ["o", "x + 10", "x + 44"], ["x", 8, "52"]], "target_var_name": "v", "target_value": 52, "value_dict": {"x": 8}, "is_reverse": true}} | 16,085 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 10; s = u + 17; h = j + 6; a = e + 14; e = w + 9; w = f + 2; v = a + 1; j = s + 9; u = z + 10; x = 8; z = t + 20; t = x + 10; f = o + 8. Given that x = 8, 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 a = e + 14 to v, which gives v = e + 15.\n2. Substitute e = w + 9 to v, which gives v = w + 24.\n3. Substitute w = f + 2 to v, which gives v = f + 26.\n4. Substitute f = o + 8 to v, which gives v = o + 34.\n5. Substitute o = x + 10 to v, which gives v = x + 44.\n6. Substitute x = 8 to v, which gives v = 52.\n\nThus, the final answer is v = \\boxed{52}.",
"index": 16085,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 10; s = u + 17; h = j + 6; a = e + 14; e = w + 9; w = f + 2; v = a + 1; j = s + 9; u = z + 10; x = 8; z = t + 20; t = x + 10; f = o + 8. Given that x = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"a": "y + 12", "n": "a + 9", "g": "n + 15", "h": "g + 20", "s": "h + 10", "b": "s + 6", "z": "y + 5", "w": "z + 20", "q": "w + 15", "p": "q + 6", "j": "p + 16", "e": "j + 7", "y": 7}, "premises": {"y": 7}, "target": "b"}, "answer": {"steps": [["s", "h + 10", "h + 16"], ["h", "g + 20", "g + 36"], ["g", "n + 15", "n + 51"], ["n", "a + 9", "a + 60"], ["a", "y + 12", "y + 72"], ["y", 7, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"y": 7}, "is_reverse": true}} | 16,086 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = a + 9; w = z + 20; y = 7; e = j + 7; g = n + 15; a = y + 12; z = y + 5; q = w + 15; j = p + 16; p = q + 6; s = h + 10; b = s + 6; h = g + 20. If y = 7, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 10 to b, which gives b = h + 16.\n2. Substitute h = g + 20 to b, which gives b = g + 36.\n3. Substitute g = n + 15 to b, which gives b = n + 51.\n4. Substitute n = a + 9 to b, which gives b = a + 60.\n5. Substitute a = y + 12 to b, which gives b = y + 72.\n6. Substitute y = 7 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 16086,
"question": "Consider a system of variables where each variable is defined as follows: n = a + 9; w = z + 20; y = 7; e = j + 7; g = n + 15; a = y + 12; z = y + 5; q = w + 15; j = p + 16; p = q + 6; s = h + 10; b = s + 6; h = g + 20. If y = 7, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 5", "r": "t + 15", "h": "r + 18", "p": "h + 3", "l": "p + 1", "z": "l + 2", "f": "a + 7", "j": "f + 9", "n": "j + 12", "i": "n + 8", "k": "i + 20", "q": "k + 6", "a": 1}, "premises": {"a": 1}, "target": "z"}, "answer": {"steps": [["l", "p + 1", "p + 3"], ["p", "h + 3", "h + 6"], ["h", "r + 18", "r + 24"], ["r", "t + 15", "t + 39"], ["t", "a + 5", "a + 44"], ["a", 1, "45"]], "target_var_name": "z", "target_value": 45, "value_dict": {"a": 1}, "is_reverse": true}} | 16,087 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 18; n = j + 12; k = i + 20; l = p + 1; p = h + 3; z = l + 2; f = a + 7; i = n + 8; t = a + 5; a = 1; j = f + 9; q = k + 6; r = t + 15. Given that a = 1, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 1 to z, which gives z = p + 3.\n2. Substitute p = h + 3 to z, which gives z = h + 6.\n3. Substitute h = r + 18 to z, which gives z = r + 24.\n4. Substitute r = t + 15 to z, which gives z = t + 39.\n5. Substitute t = a + 5 to z, which gives z = a + 44.\n6. Substitute a = 1 to z, which gives z = 45.\n\nThus, the final answer is z = \\boxed{45}.",
"index": 16087,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 18; n = j + 12; k = i + 20; l = p + 1; p = h + 3; z = l + 2; f = a + 7; i = n + 8; t = a + 5; a = 1; j = f + 9; q = k + 6; r = t + 15. Given that a = 1, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 14", "a": "x + 7", "v": "a + 12", "f": "v + 4", "l": "f + 12", "u": "l + 10", "c": "o + 17", "s": "c + 13", "z": "s + 12", "j": "z + 20", "y": "j + 19", "d": "y + 12", "o": 20}, "premises": {"o": 20}, "target": "u"}, "answer": {"steps": [["l", "f + 12", "f + 22"], ["f", "v + 4", "v + 26"], ["v", "a + 12", "a + 38"], ["a", "x + 7", "x + 45"], ["x", "o + 14", "o + 59"], ["o", 20, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"o": 20}, "is_reverse": true}} | 16,088 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = 20; z = s + 12; v = a + 12; c = o + 17; y = j + 19; u = l + 10; j = z + 20; f = v + 4; d = y + 12; a = x + 7; s = c + 13; x = o + 14; l = f + 12. If o = 20, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = f + 12 to u, which gives u = f + 22.\n2. Substitute f = v + 4 to u, which gives u = v + 26.\n3. Substitute v = a + 12 to u, which gives u = a + 38.\n4. Substitute a = x + 7 to u, which gives u = x + 45.\n5. Substitute x = o + 14 to u, which gives u = o + 59.\n6. Substitute o = 20 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 16088,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = 20; z = s + 12; v = a + 12; c = o + 17; y = j + 19; u = l + 10; j = z + 20; f = v + 4; d = y + 12; a = x + 7; s = c + 13; x = o + 14; l = f + 12. If o = 20, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 1", "t": "f + 5", "c": "t + 13", "p": "c + 1", "v": "p + 17", "j": "v + 18", "y": "q + 4", "h": "y + 11", "m": "h + 1", "x": "m + 8", "e": "x + 5", "k": "e + 4", "q": 3}, "premises": {"q": 3}, "target": "j"}, "answer": {"steps": [["v", "p + 17", "p + 35"], ["p", "c + 1", "c + 36"], ["c", "t + 13", "t + 49"], ["t", "f + 5", "f + 54"], ["f", "q + 1", "q + 55"], ["q", 3, "58"]], "target_var_name": "j", "target_value": 58, "value_dict": {"q": 3}, "is_reverse": true}} | 16,089 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = v + 18; h = y + 11; v = p + 17; e = x + 5; p = c + 1; m = h + 1; y = q + 4; c = t + 13; f = q + 1; q = 3; k = e + 4; x = m + 8; t = f + 5. If q = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = p + 17 to j, which gives j = p + 35.\n2. Substitute p = c + 1 to j, which gives j = c + 36.\n3. Substitute c = t + 13 to j, which gives j = t + 49.\n4. Substitute t = f + 5 to j, which gives j = f + 54.\n5. Substitute f = q + 1 to j, which gives j = q + 55.\n6. Substitute q = 3 to j, which gives j = 58.\n\nThus, the final answer is j = \\boxed{58}.",
"index": 16089,
"question": "Consider a system of variables where each variable is defined as follows: j = v + 18; h = y + 11; v = p + 17; e = x + 5; p = c + 1; m = h + 1; y = q + 4; c = t + 13; f = q + 1; q = 3; k = e + 4; x = m + 8; t = f + 5. If q = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 18", "u": "k + 1", "e": "u + 20", "s": "e + 9", "t": "s + 5", "m": "t + 2", "r": "i + 6", "p": "r + 12", "h": "p + 2", "d": "h + 3", "b": "d + 3", "c": "b + 20", "i": 6}, "premises": {"i": 6}, "target": "m"}, "answer": {"steps": [["t", "s + 5", "s + 7"], ["s", "e + 9", "e + 16"], ["e", "u + 20", "u + 36"], ["u", "k + 1", "k + 37"], ["k", "i + 18", "i + 55"], ["i", 6, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"i": 6}, "is_reverse": true}} | 16,090 | 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 = i + 18; c = b + 20; b = d + 3; h = p + 2; t = s + 5; u = k + 1; e = u + 20; d = h + 3; p = r + 12; r = i + 6; i = 6; s = e + 9; m = t + 2. If i = 6, what is the resulting 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 t = s + 5 to m, which gives m = s + 7.\n2. Substitute s = e + 9 to m, which gives m = e + 16.\n3. Substitute e = u + 20 to m, which gives m = u + 36.\n4. Substitute u = k + 1 to m, which gives m = k + 37.\n5. Substitute k = i + 18 to m, which gives m = i + 55.\n6. Substitute i = 6 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 16090,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = i + 18; c = b + 20; b = d + 3; h = p + 2; t = s + 5; u = k + 1; e = u + 20; d = h + 3; p = r + 12; r = i + 6; i = 6; s = e + 9; m = t + 2. If i = 6, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 4", "w": "i + 1", "c": "w + 3", "n": "c + 19", "g": "n + 14", "j": "g + 6", "a": "z + 20", "y": "a + 6", "r": "y + 11", "k": "r + 6", "d": "k + 9", "f": "d + 11", "z": 14}, "premises": {"z": 14}, "target": "j"}, "answer": {"steps": [["g", "n + 14", "n + 20"], ["n", "c + 19", "c + 39"], ["c", "w + 3", "w + 42"], ["w", "i + 1", "i + 43"], ["i", "z + 4", "z + 47"], ["z", 14, "61"]], "target_var_name": "j", "target_value": 61, "value_dict": {"z": 14}, "is_reverse": true}} | 16,091 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 19; i = z + 4; f = d + 11; w = i + 1; j = g + 6; a = z + 20; y = a + 6; d = k + 9; g = n + 14; z = 14; k = r + 6; r = y + 11; c = w + 3. If z = 14, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 14 to j, which gives j = n + 20.\n2. Substitute n = c + 19 to j, which gives j = c + 39.\n3. Substitute c = w + 3 to j, which gives j = w + 42.\n4. Substitute w = i + 1 to j, which gives j = i + 43.\n5. Substitute i = z + 4 to j, which gives j = z + 47.\n6. Substitute z = 14 to j, which gives j = 61.\n\nThus, the final answer is j = \\boxed{61}.",
"index": 16091,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = c + 19; i = z + 4; f = d + 11; w = i + 1; j = g + 6; a = z + 20; y = a + 6; d = k + 9; g = n + 14; z = 14; k = r + 6; r = y + 11; c = w + 3. If z = 14, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"v": "b + 9", "y": "v + 18", "k": "y + 10", "a": "k + 17", "n": "a + 9", "r": "n + 2", "j": "b + 19", "s": "j + 12", "x": "s + 16", "z": "x + 19", "w": "z + 3", "q": "w + 11", "b": 5}, "premises": {"b": 5}, "target": "r"}, "answer": {"steps": [["n", "a + 9", "a + 11"], ["a", "k + 17", "k + 28"], ["k", "y + 10", "y + 38"], ["y", "v + 18", "v + 56"], ["v", "b + 9", "b + 65"], ["b", 5, "70"]], "target_var_name": "r", "target_value": 70, "value_dict": {"b": 5}, "is_reverse": true}} | 16,092 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 11; j = b + 19; w = z + 3; r = n + 2; v = b + 9; a = k + 17; s = j + 12; n = a + 9; y = v + 18; b = 5; k = y + 10; z = x + 19; x = s + 16. If b = 5, what is the resulting value of r?",
"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 + 9 to r, which gives r = a + 11.\n2. Substitute a = k + 17 to r, which gives r = k + 28.\n3. Substitute k = y + 10 to r, which gives r = y + 38.\n4. Substitute y = v + 18 to r, which gives r = v + 56.\n5. Substitute v = b + 9 to r, which gives r = b + 65.\n6. Substitute b = 5 to r, which gives r = 70.\n\nThus, the final answer is r = \\boxed{70}.",
"index": 16092,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = w + 11; j = b + 19; w = z + 3; r = n + 2; v = b + 9; a = k + 17; s = j + 12; n = a + 9; y = v + 18; b = 5; k = y + 10; z = x + 19; x = s + 16. If b = 5, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"o": "n + 20", "a": "o + 8", "b": "a + 10", "d": "b + 18", "p": "d + 20", "f": "p + 15", "y": "n + 9", "t": "y + 5", "v": "t + 13", "m": "v + 1", "r": "m + 3", "z": "r + 7", "n": 11}, "premises": {"n": 11}, "target": "f"}, "answer": {"steps": [["p", "d + 20", "d + 35"], ["d", "b + 18", "b + 53"], ["b", "a + 10", "a + 63"], ["a", "o + 8", "o + 71"], ["o", "n + 20", "n + 91"], ["n", 11, "102"]], "target_var_name": "f", "target_value": 102, "value_dict": {"n": 11}, "is_reverse": true}} | 16,093 | 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 = m + 3; p = d + 20; y = n + 9; o = n + 20; t = y + 5; d = b + 18; m = v + 1; v = t + 13; f = p + 15; a = o + 8; n = 11; b = a + 10; z = r + 7. If n = 11, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 20 to f, which gives f = d + 35.\n2. Substitute d = b + 18 to f, which gives f = b + 53.\n3. Substitute b = a + 10 to f, which gives f = a + 63.\n4. Substitute a = o + 8 to f, which gives f = o + 71.\n5. Substitute o = n + 20 to f, which gives f = n + 91.\n6. Substitute n = 11 to f, which gives f = 102.\n\nThus, the final answer is f = \\boxed{102}.",
"index": 16093,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = m + 3; p = d + 20; y = n + 9; o = n + 20; t = y + 5; d = b + 18; m = v + 1; v = t + 13; f = p + 15; a = o + 8; n = 11; b = a + 10; z = r + 7. If n = 11, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"j": "r + 2", "a": "j + 9", "z": "a + 15", "m": "z + 13", "u": "m + 1", "l": "u + 17", "t": "r + 14", "o": "t + 8", "h": "o + 14", "e": "h + 9", "p": "e + 12", "k": "p + 9", "r": 18}, "premises": {"r": 18}, "target": "l"}, "answer": {"steps": [["u", "m + 1", "m + 18"], ["m", "z + 13", "z + 31"], ["z", "a + 15", "a + 46"], ["a", "j + 9", "j + 55"], ["j", "r + 2", "r + 57"], ["r", 18, "75"]], "target_var_name": "l", "target_value": 75, "value_dict": {"r": 18}, "is_reverse": true}} | 16,094 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = r + 14; j = r + 2; l = u + 17; u = m + 1; r = 18; e = h + 9; z = a + 15; k = p + 9; o = t + 8; h = o + 14; p = e + 12; a = j + 9; m = z + 13. Given that r = 18, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 1 to l, which gives l = m + 18.\n2. Substitute m = z + 13 to l, which gives l = z + 31.\n3. Substitute z = a + 15 to l, which gives l = a + 46.\n4. Substitute a = j + 9 to l, which gives l = j + 55.\n5. Substitute j = r + 2 to l, which gives l = r + 57.\n6. Substitute r = 18 to l, which gives l = 75.\n\nThus, the final answer is l = \\boxed{75}.",
"index": 16094,
"question": "Suppose a collection of variables is related by the following definitions: t = r + 14; j = r + 2; l = u + 17; u = m + 1; r = 18; e = h + 9; z = a + 15; k = p + 9; o = t + 8; h = o + 14; p = e + 12; a = j + 9; m = z + 13. Given that r = 18, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 9", "r": "v + 3", "f": "r + 4", "g": "f + 10", "q": "g + 9", "k": "q + 6", "y": "i + 17", "p": "y + 16", "c": "p + 15", "m": "c + 2", "s": "m + 4", "t": "s + 19", "i": 1}, "premises": {"i": 1}, "target": "k"}, "answer": {"steps": [["q", "g + 9", "g + 15"], ["g", "f + 10", "f + 25"], ["f", "r + 4", "r + 29"], ["r", "v + 3", "v + 32"], ["v", "i + 9", "i + 41"], ["i", 1, "42"]], "target_var_name": "k", "target_value": 42, "value_dict": {"i": 1}, "is_reverse": true}} | 16,095 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 10; t = s + 19; q = g + 9; f = r + 4; v = i + 9; s = m + 4; c = p + 15; i = 1; k = q + 6; p = y + 16; y = i + 17; r = v + 3; m = c + 2. If i = 1, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 9 to k, which gives k = g + 15.\n2. Substitute g = f + 10 to k, which gives k = f + 25.\n3. Substitute f = r + 4 to k, which gives k = r + 29.\n4. Substitute r = v + 3 to k, which gives k = v + 32.\n5. Substitute v = i + 9 to k, which gives k = i + 41.\n6. Substitute i = 1 to k, which gives k = 42.\n\nThus, the final answer is k = \\boxed{42}.",
"index": 16095,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 10; t = s + 19; q = g + 9; f = r + 4; v = i + 9; s = m + 4; c = p + 15; i = 1; k = q + 6; p = y + 16; y = i + 17; r = v + 3; m = c + 2. If i = 1, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 16", "l": "k + 2", "m": "l + 9", "o": "m + 16", "t": "o + 9", "n": "t + 8", "d": "f + 15", "p": "d + 7", "a": "p + 17", "w": "a + 5", "b": "w + 16", "z": "b + 3", "f": 13}, "premises": {"f": 13}, "target": "n"}, "answer": {"steps": [["t", "o + 9", "o + 17"], ["o", "m + 16", "m + 33"], ["m", "l + 9", "l + 42"], ["l", "k + 2", "k + 44"], ["k", "f + 16", "f + 60"], ["f", 13, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"f": 13}, "is_reverse": true}} | 16,096 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = a + 5; a = p + 17; d = f + 15; k = f + 16; l = k + 2; m = l + 9; n = t + 8; z = b + 3; b = w + 16; f = 13; o = m + 16; t = o + 9; p = d + 7. Given that f = 13, 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 t = o + 9 to n, which gives n = o + 17.\n2. Substitute o = m + 16 to n, which gives n = m + 33.\n3. Substitute m = l + 9 to n, which gives n = l + 42.\n4. Substitute l = k + 2 to n, which gives n = k + 44.\n5. Substitute k = f + 16 to n, which gives n = f + 60.\n6. Substitute f = 13 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 16096,
"question": "Suppose a collection of variables is related by the following definitions: w = a + 5; a = p + 17; d = f + 15; k = f + 16; l = k + 2; m = l + 9; n = t + 8; z = b + 3; b = w + 16; f = 13; o = m + 16; t = o + 9; p = d + 7. Given that f = 13, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 13", "v": "e + 16", "o": "v + 10", "l": "o + 12", "x": "l + 5", "i": "x + 12", "c": "j + 13", "r": "c + 2", "f": "r + 9", "k": "f + 14", "y": "k + 10", "p": "y + 20", "j": 2}, "premises": {"j": 2}, "target": "i"}, "answer": {"steps": [["x", "l + 5", "l + 17"], ["l", "o + 12", "o + 29"], ["o", "v + 10", "v + 39"], ["v", "e + 16", "e + 55"], ["e", "j + 13", "j + 68"], ["j", 2, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"j": 2}, "is_reverse": true}} | 16,097 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = f + 14; p = y + 20; v = e + 16; l = o + 12; o = v + 10; i = x + 12; x = l + 5; f = r + 9; y = k + 10; e = j + 13; r = c + 2; j = 2; c = j + 13. Given that j = 2, find the 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 x = l + 5 to i, which gives i = l + 17.\n2. Substitute l = o + 12 to i, which gives i = o + 29.\n3. Substitute o = v + 10 to i, which gives i = v + 39.\n4. Substitute v = e + 16 to i, which gives i = e + 55.\n5. Substitute e = j + 13 to i, which gives i = j + 68.\n6. Substitute j = 2 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 16097,
"question": "Suppose a collection of variables is related by the following definitions: k = f + 14; p = y + 20; v = e + 16; l = o + 12; o = v + 10; i = x + 12; x = l + 5; f = r + 9; y = k + 10; e = j + 13; r = c + 2; j = 2; c = j + 13. Given that j = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "j + 6", "m": "z + 9", "q": "m + 11", "v": "q + 2", "h": "v + 19", "l": "h + 5", "f": "j + 17", "e": "f + 17", "k": "e + 8", "w": "k + 13", "r": "w + 2", "b": "r + 19", "j": 12}, "premises": {"j": 12}, "target": "l"}, "answer": {"steps": [["h", "v + 19", "v + 24"], ["v", "q + 2", "q + 26"], ["q", "m + 11", "m + 37"], ["m", "z + 9", "z + 46"], ["z", "j + 6", "j + 52"], ["j", 12, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"j": 12}, "is_reverse": true}} | 16,098 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = r + 19; f = j + 17; q = m + 11; l = h + 5; m = z + 9; r = w + 2; w = k + 13; j = 12; h = v + 19; v = q + 2; z = j + 6; e = f + 17; k = e + 8. Given that j = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 19 to l, which gives l = v + 24.\n2. Substitute v = q + 2 to l, which gives l = q + 26.\n3. Substitute q = m + 11 to l, which gives l = m + 37.\n4. Substitute m = z + 9 to l, which gives l = z + 46.\n5. Substitute z = j + 6 to l, which gives l = j + 52.\n6. Substitute j = 12 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 16098,
"question": "Suppose a collection of variables is related by the following definitions: b = r + 19; f = j + 17; q = m + 11; l = h + 5; m = z + 9; r = w + 2; w = k + 13; j = 12; h = v + 19; v = q + 2; z = j + 6; e = f + 17; k = e + 8. Given that j = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 11", "a": "i + 1", "d": "a + 2", "e": "d + 10", "h": "e + 18", "o": "h + 18", "z": "v + 7", "c": "z + 18", "w": "c + 15", "m": "w + 11", "p": "m + 17", "b": "p + 11", "v": 7}, "premises": {"v": 7}, "target": "o"}, "answer": {"steps": [["h", "e + 18", "e + 36"], ["e", "d + 10", "d + 46"], ["d", "a + 2", "a + 48"], ["a", "i + 1", "i + 49"], ["i", "v + 11", "v + 60"], ["v", 7, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"v": 7}, "is_reverse": true}} | 16,099 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = v + 11; a = i + 1; m = w + 11; p = m + 17; v = 7; h = e + 18; d = a + 2; o = h + 18; b = p + 11; w = c + 15; e = d + 10; z = v + 7; c = z + 18. If v = 7, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = e + 18 to o, which gives o = e + 36.\n2. Substitute e = d + 10 to o, which gives o = d + 46.\n3. Substitute d = a + 2 to o, which gives o = a + 48.\n4. Substitute a = i + 1 to o, which gives o = i + 49.\n5. Substitute i = v + 11 to o, which gives o = v + 60.\n6. Substitute v = 7 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 16099,
"question": "Consider a system of variables where each variable is defined as follows: i = v + 11; a = i + 1; m = w + 11; p = m + 17; v = 7; h = e + 18; d = a + 2; o = h + 18; b = p + 11; w = c + 15; e = d + 10; z = v + 7; c = z + 18. If v = 7, determine the value of o.",
"split": "train"
} |
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