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": {"m": "y + 15", "p": "m + 19", "j": "p + 7", "q": "j + 19", "v": "q + 3", "h": "v + 14", "e": "y + 5", "z": "e + 10", "b": "z + 7", "x": "b + 20", "f": "x + 20", "d": "f + 8", "y": 4}, "premises": {"y": 4}, "target": "h"}, "answer": {"steps": [["v", "q + 3", "q + 17"], ["q", "j + 19", "j + 36"], ["j", "p + 7", "p + 43"], ["p", "m + 19", "m + 62"], ["m", "y + 15", "y + 77"], ["y", 4, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"y": 4}, "is_reverse": true}} | 18,100 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = e + 10; p = m + 19; e = y + 5; h = v + 14; y = 4; x = b + 20; d = f + 8; b = z + 7; f = x + 20; j = p + 7; v = q + 3; q = j + 19; m = y + 15. Given that y = 4, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 3 to h, which gives h = q + 17.\n2. Substitute q = j + 19 to h, which gives h = j + 36.\n3. Substitute j = p + 7 to h, which gives h = p + 43.\n4. Substitute p = m + 19 to h, which gives h = m + 62.\n5. Substitute m = y + 15 to h, which gives h = y + 77.\n6. Substitute y = 4 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 18100,
"question": "Suppose a collection of variables is related by the following definitions: z = e + 10; p = m + 19; e = y + 5; h = v + 14; y = 4; x = b + 20; d = f + 8; b = z + 7; f = x + 20; j = p + 7; v = q + 3; q = j + 19; m = y + 15. Given that y = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 1", "q": "e + 11", "m": "q + 1", "p": "m + 15", "j": "p + 1", "v": "j + 20", "c": "x + 6", "z": "c + 11", "t": "z + 17", "b": "t + 4", "g": "b + 17", "d": "g + 9", "x": 9}, "premises": {"x": 9}, "target": "v"}, "answer": {"steps": [["j", "p + 1", "p + 21"], ["p", "m + 15", "m + 36"], ["m", "q + 1", "q + 37"], ["q", "e + 11", "e + 48"], ["e", "x + 1", "x + 49"], ["x", 9, "58"]], "target_var_name": "v", "target_value": 58, "value_dict": {"x": 9}, "is_reverse": true}} | 18,101 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = q + 1; z = c + 11; v = j + 20; p = m + 15; x = 9; b = t + 4; c = x + 6; d = g + 9; t = z + 17; e = x + 1; q = e + 11; j = p + 1; g = b + 17. If x = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 1 to v, which gives v = p + 21.\n2. Substitute p = m + 15 to v, which gives v = m + 36.\n3. Substitute m = q + 1 to v, which gives v = q + 37.\n4. Substitute q = e + 11 to v, which gives v = e + 48.\n5. Substitute e = x + 1 to v, which gives v = x + 49.\n6. Substitute x = 9 to v, which gives v = 58.\n\nThus, the final answer is v = \\boxed{58}.",
"index": 18101,
"question": "Consider a system of variables where each variable is defined as follows: m = q + 1; z = c + 11; v = j + 20; p = m + 15; x = 9; b = t + 4; c = x + 6; d = g + 9; t = z + 17; e = x + 1; q = e + 11; j = p + 1; g = b + 17. If x = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 15", "a": "k + 15", "f": "a + 10", "i": "f + 20", "c": "i + 16", "t": "c + 17", "l": "y + 18", "w": "l + 13", "b": "w + 13", "p": "b + 9", "d": "p + 16", "x": "d + 6", "y": 4}, "premises": {"y": 4}, "target": "t"}, "answer": {"steps": [["c", "i + 16", "i + 33"], ["i", "f + 20", "f + 53"], ["f", "a + 10", "a + 63"], ["a", "k + 15", "k + 78"], ["k", "y + 15", "y + 93"], ["y", 4, "97"]], "target_var_name": "t", "target_value": 97, "value_dict": {"y": 4}, "is_reverse": true}} | 18,102 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = a + 10; b = w + 13; t = c + 17; c = i + 16; k = y + 15; i = f + 20; w = l + 13; y = 4; l = y + 18; d = p + 16; p = b + 9; x = d + 6; a = k + 15. If y = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = i + 16 to t, which gives t = i + 33.\n2. Substitute i = f + 20 to t, which gives t = f + 53.\n3. Substitute f = a + 10 to t, which gives t = a + 63.\n4. Substitute a = k + 15 to t, which gives t = k + 78.\n5. Substitute k = y + 15 to t, which gives t = y + 93.\n6. Substitute y = 4 to t, which gives t = 97.\n\nThus, the final answer is t = \\boxed{97}.",
"index": 18102,
"question": "Consider a system of variables where each variable is defined as follows: f = a + 10; b = w + 13; t = c + 17; c = i + 16; k = y + 15; i = f + 20; w = l + 13; y = 4; l = y + 18; d = p + 16; p = b + 9; x = d + 6; a = k + 15. If y = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"p": "x + 20", "k": "p + 1", "f": "k + 17", "l": "f + 16", "u": "l + 20", "c": "u + 16", "h": "x + 15", "i": "h + 16", "g": "i + 11", "a": "g + 15", "t": "a + 11", "y": "t + 15", "x": 19}, "premises": {"x": 19}, "target": "c"}, "answer": {"steps": [["u", "l + 20", "l + 36"], ["l", "f + 16", "f + 52"], ["f", "k + 17", "k + 69"], ["k", "p + 1", "p + 70"], ["p", "x + 20", "x + 90"], ["x", 19, "109"]], "target_var_name": "c", "target_value": 109, "value_dict": {"x": 19}, "is_reverse": true}} | 18,103 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = k + 17; i = h + 16; p = x + 20; c = u + 16; a = g + 15; h = x + 15; u = l + 20; k = p + 1; g = i + 11; y = t + 15; t = a + 11; l = f + 16; x = 19. Given that x = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = l + 20 to c, which gives c = l + 36.\n2. Substitute l = f + 16 to c, which gives c = f + 52.\n3. Substitute f = k + 17 to c, which gives c = k + 69.\n4. Substitute k = p + 1 to c, which gives c = p + 70.\n5. Substitute p = x + 20 to c, which gives c = x + 90.\n6. Substitute x = 19 to c, which gives c = 109.\n\nThus, the final answer is c = \\boxed{109}.",
"index": 18103,
"question": "Suppose a collection of variables is related by the following definitions: f = k + 17; i = h + 16; p = x + 20; c = u + 16; a = g + 15; h = x + 15; u = l + 20; k = p + 1; g = i + 11; y = t + 15; t = a + 11; l = f + 16; x = 19. Given that x = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 17", "f": "b + 13", "c": "f + 12", "r": "c + 18", "n": "r + 7", "z": "n + 1", "q": "g + 17", "k": "q + 1", "w": "k + 7", "t": "w + 11", "v": "t + 7", "y": "v + 13", "g": 5}, "premises": {"g": 5}, "target": "z"}, "answer": {"steps": [["n", "r + 7", "r + 8"], ["r", "c + 18", "c + 26"], ["c", "f + 12", "f + 38"], ["f", "b + 13", "b + 51"], ["b", "g + 17", "g + 68"], ["g", 5, "73"]], "target_var_name": "z", "target_value": 73, "value_dict": {"g": 5}, "is_reverse": true}} | 18,104 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = w + 11; v = t + 7; b = g + 17; r = c + 18; z = n + 1; f = b + 13; q = g + 17; w = k + 7; n = r + 7; y = v + 13; g = 5; k = q + 1; c = f + 12. If g = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 7 to z, which gives z = r + 8.\n2. Substitute r = c + 18 to z, which gives z = c + 26.\n3. Substitute c = f + 12 to z, which gives z = f + 38.\n4. Substitute f = b + 13 to z, which gives z = b + 51.\n5. Substitute b = g + 17 to z, which gives z = g + 68.\n6. Substitute g = 5 to z, which gives z = 73.\n\nThus, the final answer is z = \\boxed{73}.",
"index": 18104,
"question": "Consider a system of variables where each variable is defined as follows: t = w + 11; v = t + 7; b = g + 17; r = c + 18; z = n + 1; f = b + 13; q = g + 17; w = k + 7; n = r + 7; y = v + 13; g = 5; k = q + 1; c = f + 12. If g = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 9", "i": "n + 18", "s": "i + 11", "l": "s + 18", "y": "l + 2", "u": "y + 20", "g": "j + 3", "c": "g + 16", "m": "c + 11", "a": "m + 15", "t": "a + 19", "k": "t + 8", "j": 4}, "premises": {"j": 4}, "target": "u"}, "answer": {"steps": [["y", "l + 2", "l + 22"], ["l", "s + 18", "s + 40"], ["s", "i + 11", "i + 51"], ["i", "n + 18", "n + 69"], ["n", "j + 9", "j + 78"], ["j", 4, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"j": 4}, "is_reverse": true}} | 18,105 | 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 = m + 15; m = c + 11; l = s + 18; t = a + 19; n = j + 9; c = g + 16; g = j + 3; s = i + 11; k = t + 8; u = y + 20; y = l + 2; i = n + 18; j = 4. If j = 4, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 2 to u, which gives u = l + 22.\n2. Substitute l = s + 18 to u, which gives u = s + 40.\n3. Substitute s = i + 11 to u, which gives u = i + 51.\n4. Substitute i = n + 18 to u, which gives u = n + 69.\n5. Substitute n = j + 9 to u, which gives u = j + 78.\n6. Substitute j = 4 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 18105,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = m + 15; m = c + 11; l = s + 18; t = a + 19; n = j + 9; c = g + 16; g = j + 3; s = i + 11; k = t + 8; u = y + 20; y = l + 2; i = n + 18; j = 4. If j = 4, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 7", "u": "n + 10", "w": "u + 7", "y": "w + 13", "p": "y + 16", "f": "p + 15", "i": "t + 3", "r": "i + 18", "k": "r + 1", "j": "k + 2", "c": "j + 11", "b": "c + 11", "t": 13}, "premises": {"t": 13}, "target": "f"}, "answer": {"steps": [["p", "y + 16", "y + 31"], ["y", "w + 13", "w + 44"], ["w", "u + 7", "u + 51"], ["u", "n + 10", "n + 61"], ["n", "t + 7", "t + 68"], ["t", 13, "81"]], "target_var_name": "f", "target_value": 81, "value_dict": {"t": 13}, "is_reverse": true}} | 18,106 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 2; f = p + 15; u = n + 10; t = 13; k = r + 1; r = i + 18; i = t + 3; w = u + 7; n = t + 7; p = y + 16; y = w + 13; c = j + 11; b = c + 11. Given that t = 13, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 16 to f, which gives f = y + 31.\n2. Substitute y = w + 13 to f, which gives f = w + 44.\n3. Substitute w = u + 7 to f, which gives f = u + 51.\n4. Substitute u = n + 10 to f, which gives f = n + 61.\n5. Substitute n = t + 7 to f, which gives f = t + 68.\n6. Substitute t = 13 to f, which gives f = 81.\n\nThus, the final answer is f = \\boxed{81}.",
"index": 18106,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 2; f = p + 15; u = n + 10; t = 13; k = r + 1; r = i + 18; i = t + 3; w = u + 7; n = t + 7; p = y + 16; y = w + 13; c = j + 11; b = c + 11. Given that t = 13, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"a": "v + 2", "c": "a + 13", "q": "c + 8", "k": "q + 5", "g": "k + 4", "d": "g + 9", "e": "v + 20", "w": "e + 4", "h": "w + 11", "p": "h + 12", "i": "p + 1", "b": "i + 4", "v": 7}, "premises": {"v": 7}, "target": "d"}, "answer": {"steps": [["g", "k + 4", "k + 13"], ["k", "q + 5", "q + 18"], ["q", "c + 8", "c + 26"], ["c", "a + 13", "a + 39"], ["a", "v + 2", "v + 41"], ["v", 7, "48"]], "target_var_name": "d", "target_value": 48, "value_dict": {"v": 7}, "is_reverse": true}} | 18,107 | 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 = e + 4; k = q + 5; c = a + 13; d = g + 9; a = v + 2; p = h + 12; v = 7; e = v + 20; q = c + 8; g = k + 4; i = p + 1; b = i + 4; h = w + 11. If v = 7, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 4 to d, which gives d = k + 13.\n2. Substitute k = q + 5 to d, which gives d = q + 18.\n3. Substitute q = c + 8 to d, which gives d = c + 26.\n4. Substitute c = a + 13 to d, which gives d = a + 39.\n5. Substitute a = v + 2 to d, which gives d = v + 41.\n6. Substitute v = 7 to d, which gives d = 48.\n\nThus, the final answer is d = \\boxed{48}.",
"index": 18107,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = e + 4; k = q + 5; c = a + 13; d = g + 9; a = v + 2; p = h + 12; v = 7; e = v + 20; q = c + 8; g = k + 4; i = p + 1; b = i + 4; h = w + 11. If v = 7, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 5", "b": "y + 18", "i": "b + 1", "k": "i + 14", "w": "k + 12", "a": "w + 13", "p": "u + 17", "s": "p + 5", "c": "s + 13", "j": "c + 9", "f": "j + 12", "q": "f + 7", "u": 9}, "premises": {"u": 9}, "target": "a"}, "answer": {"steps": [["w", "k + 12", "k + 25"], ["k", "i + 14", "i + 39"], ["i", "b + 1", "b + 40"], ["b", "y + 18", "y + 58"], ["y", "u + 5", "u + 63"], ["u", 9, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"u": 9}, "is_reverse": true}} | 18,108 | 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 = y + 18; q = f + 7; u = 9; f = j + 12; j = c + 9; i = b + 1; s = p + 5; y = u + 5; c = s + 13; k = i + 14; w = k + 12; p = u + 17; a = w + 13. If u = 9, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = k + 12 to a, which gives a = k + 25.\n2. Substitute k = i + 14 to a, which gives a = i + 39.\n3. Substitute i = b + 1 to a, which gives a = b + 40.\n4. Substitute b = y + 18 to a, which gives a = y + 58.\n5. Substitute y = u + 5 to a, which gives a = u + 63.\n6. Substitute u = 9 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 18108,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = y + 18; q = f + 7; u = 9; f = j + 12; j = c + 9; i = b + 1; s = p + 5; y = u + 5; c = s + 13; k = i + 14; w = k + 12; p = u + 17; a = w + 13. If u = 9, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 9", "c": "k + 18", "u": "c + 14", "w": "u + 1", "o": "w + 14", "q": "o + 19", "d": "p + 1", "h": "d + 8", "y": "h + 9", "l": "y + 15", "e": "l + 7", "r": "e + 1", "p": 8}, "premises": {"p": 8}, "target": "q"}, "answer": {"steps": [["o", "w + 14", "w + 33"], ["w", "u + 1", "u + 34"], ["u", "c + 14", "c + 48"], ["c", "k + 18", "k + 66"], ["k", "p + 9", "p + 75"], ["p", 8, "83"]], "target_var_name": "q", "target_value": 83, "value_dict": {"p": 8}, "is_reverse": true}} | 18,109 | 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 = h + 9; w = u + 1; c = k + 18; r = e + 1; u = c + 14; h = d + 8; o = w + 14; e = l + 7; q = o + 19; k = p + 9; p = 8; l = y + 15; d = p + 1. If p = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 14 to q, which gives q = w + 33.\n2. Substitute w = u + 1 to q, which gives q = u + 34.\n3. Substitute u = c + 14 to q, which gives q = c + 48.\n4. Substitute c = k + 18 to q, which gives q = k + 66.\n5. Substitute k = p + 9 to q, which gives q = p + 75.\n6. Substitute p = 8 to q, which gives q = 83.\n\nThus, the final answer is q = \\boxed{83}.",
"index": 18109,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = h + 9; w = u + 1; c = k + 18; r = e + 1; u = c + 14; h = d + 8; o = w + 14; e = l + 7; q = o + 19; k = p + 9; p = 8; l = y + 15; d = p + 1. If p = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 2", "m": "f + 17", "h": "m + 15", "i": "h + 6", "s": "i + 11", "z": "s + 6", "k": "e + 15", "o": "k + 5", "y": "o + 18", "c": "y + 11", "b": "c + 8", "d": "b + 2", "e": 4}, "premises": {"e": 4}, "target": "z"}, "answer": {"steps": [["s", "i + 11", "i + 17"], ["i", "h + 6", "h + 23"], ["h", "m + 15", "m + 38"], ["m", "f + 17", "f + 55"], ["f", "e + 2", "e + 57"], ["e", 4, "61"]], "target_var_name": "z", "target_value": 61, "value_dict": {"e": 4}, "is_reverse": true}} | 18,110 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 18; m = f + 17; z = s + 6; o = k + 5; d = b + 2; i = h + 6; s = i + 11; f = e + 2; k = e + 15; b = c + 8; h = m + 15; e = 4; c = y + 11. If e = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 11 to z, which gives z = i + 17.\n2. Substitute i = h + 6 to z, which gives z = h + 23.\n3. Substitute h = m + 15 to z, which gives z = m + 38.\n4. Substitute m = f + 17 to z, which gives z = f + 55.\n5. Substitute f = e + 2 to z, which gives z = e + 57.\n6. Substitute e = 4 to z, which gives z = 61.\n\nThus, the final answer is z = \\boxed{61}.",
"index": 18110,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 18; m = f + 17; z = s + 6; o = k + 5; d = b + 2; i = h + 6; s = i + 11; f = e + 2; k = e + 15; b = c + 8; h = m + 15; e = 4; c = y + 11. If e = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 19", "b": "o + 16", "y": "b + 19", "g": "y + 2", "l": "g + 17", "m": "l + 17", "z": "p + 14", "v": "z + 18", "e": "v + 7", "f": "e + 10", "t": "f + 3", "d": "t + 7", "p": 8}, "premises": {"p": 8}, "target": "m"}, "answer": {"steps": [["l", "g + 17", "g + 34"], ["g", "y + 2", "y + 36"], ["y", "b + 19", "b + 55"], ["b", "o + 16", "o + 71"], ["o", "p + 19", "p + 90"], ["p", 8, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"p": 8}, "is_reverse": true}} | 18,111 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 10; o = p + 19; d = t + 7; e = v + 7; t = f + 3; p = 8; b = o + 16; m = l + 17; l = g + 17; z = p + 14; y = b + 19; g = y + 2; v = z + 18. If p = 8, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 17 to m, which gives m = g + 34.\n2. Substitute g = y + 2 to m, which gives m = y + 36.\n3. Substitute y = b + 19 to m, which gives m = b + 55.\n4. Substitute b = o + 16 to m, which gives m = o + 71.\n5. Substitute o = p + 19 to m, which gives m = p + 90.\n6. Substitute p = 8 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 18111,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 10; o = p + 19; d = t + 7; e = v + 7; t = f + 3; p = 8; b = o + 16; m = l + 17; l = g + 17; z = p + 14; y = b + 19; g = y + 2; v = z + 18. If p = 8, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "x + 4", "a": "k + 13", "p": "a + 7", "h": "p + 20", "y": "h + 5", "e": "y + 4", "g": "x + 6", "i": "g + 18", "n": "i + 15", "l": "n + 15", "c": "l + 6", "z": "c + 12", "x": 3}, "premises": {"x": 3}, "target": "e"}, "answer": {"steps": [["y", "h + 5", "h + 9"], ["h", "p + 20", "p + 29"], ["p", "a + 7", "a + 36"], ["a", "k + 13", "k + 49"], ["k", "x + 4", "x + 53"], ["x", 3, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"x": 3}, "is_reverse": true}} | 18,112 | 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 = x + 4; e = y + 4; l = n + 15; a = k + 13; c = l + 6; y = h + 5; n = i + 15; i = g + 18; x = 3; h = p + 20; g = x + 6; p = a + 7; z = c + 12. If x = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 5 to e, which gives e = h + 9.\n2. Substitute h = p + 20 to e, which gives e = p + 29.\n3. Substitute p = a + 7 to e, which gives e = a + 36.\n4. Substitute a = k + 13 to e, which gives e = k + 49.\n5. Substitute k = x + 4 to e, which gives e = x + 53.\n6. Substitute x = 3 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 18112,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 4; e = y + 4; l = n + 15; a = k + 13; c = l + 6; y = h + 5; n = i + 15; i = g + 18; x = 3; h = p + 20; g = x + 6; p = a + 7; z = c + 12. If x = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"l": "s + 2", "e": "l + 9", "t": "e + 7", "n": "t + 17", "f": "n + 9", "i": "f + 14", "z": "s + 6", "d": "z + 3", "w": "d + 2", "k": "w + 2", "h": "k + 16", "v": "h + 9", "s": 12}, "premises": {"s": 12}, "target": "i"}, "answer": {"steps": [["f", "n + 9", "n + 23"], ["n", "t + 17", "t + 40"], ["t", "e + 7", "e + 47"], ["e", "l + 9", "l + 56"], ["l", "s + 2", "s + 58"], ["s", 12, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"s": 12}, "is_reverse": true}} | 18,113 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = w + 2; v = h + 9; l = s + 2; s = 12; n = t + 17; w = d + 2; t = e + 7; d = z + 3; z = s + 6; f = n + 9; h = k + 16; i = f + 14; e = l + 9. Given that s = 12, 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 f = n + 9 to i, which gives i = n + 23.\n2. Substitute n = t + 17 to i, which gives i = t + 40.\n3. Substitute t = e + 7 to i, which gives i = e + 47.\n4. Substitute e = l + 9 to i, which gives i = l + 56.\n5. Substitute l = s + 2 to i, which gives i = s + 58.\n6. Substitute s = 12 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 18113,
"question": "Suppose a collection of variables is related by the following definitions: k = w + 2; v = h + 9; l = s + 2; s = 12; n = t + 17; w = d + 2; t = e + 7; d = z + 3; z = s + 6; f = n + 9; h = k + 16; i = f + 14; e = l + 9. Given that s = 12, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"v": "a + 3", "y": "v + 13", "m": "y + 20", "o": "m + 6", "s": "o + 7", "h": "s + 15", "k": "a + 13", "z": "k + 20", "j": "z + 15", "w": "j + 15", "t": "w + 4", "i": "t + 19", "a": 3}, "premises": {"a": 3}, "target": "h"}, "answer": {"steps": [["s", "o + 7", "o + 22"], ["o", "m + 6", "m + 28"], ["m", "y + 20", "y + 48"], ["y", "v + 13", "v + 61"], ["v", "a + 3", "a + 64"], ["a", 3, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"a": 3}, "is_reverse": true}} | 18,114 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = z + 15; t = w + 4; z = k + 20; v = a + 3; y = v + 13; a = 3; w = j + 15; i = t + 19; m = y + 20; s = o + 7; o = m + 6; k = a + 13; h = s + 15. Given that a = 3, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 7 to h, which gives h = o + 22.\n2. Substitute o = m + 6 to h, which gives h = m + 28.\n3. Substitute m = y + 20 to h, which gives h = y + 48.\n4. Substitute y = v + 13 to h, which gives h = v + 61.\n5. Substitute v = a + 3 to h, which gives h = a + 64.\n6. Substitute a = 3 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 18114,
"question": "Suppose a collection of variables is related by the following definitions: j = z + 15; t = w + 4; z = k + 20; v = a + 3; y = v + 13; a = 3; w = j + 15; i = t + 19; m = y + 20; s = o + 7; o = m + 6; k = a + 13; h = s + 15. Given that a = 3, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 13", "v": "y + 13", "i": "v + 1", "j": "i + 9", "q": "j + 4", "w": "q + 6", "z": "b + 19", "p": "z + 1", "o": "p + 13", "e": "o + 13", "n": "e + 4", "m": "n + 11", "b": 7}, "premises": {"b": 7}, "target": "w"}, "answer": {"steps": [["q", "j + 4", "j + 10"], ["j", "i + 9", "i + 19"], ["i", "v + 1", "v + 20"], ["v", "y + 13", "y + 33"], ["y", "b + 13", "b + 46"], ["b", 7, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"b": 7}, "is_reverse": true}} | 18,115 | 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 = b + 13; z = b + 19; b = 7; j = i + 9; i = v + 1; q = j + 4; w = q + 6; o = p + 13; e = o + 13; v = y + 13; p = z + 1; m = n + 11; n = e + 4. If b = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = j + 4 to w, which gives w = j + 10.\n2. Substitute j = i + 9 to w, which gives w = i + 19.\n3. Substitute i = v + 1 to w, which gives w = v + 20.\n4. Substitute v = y + 13 to w, which gives w = y + 33.\n5. Substitute y = b + 13 to w, which gives w = b + 46.\n6. Substitute b = 7 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 18115,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 13; z = b + 19; b = 7; j = i + 9; i = v + 1; q = j + 4; w = q + 6; o = p + 13; e = o + 13; v = y + 13; p = z + 1; m = n + 11; n = e + 4. If b = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 19", "h": "z + 4", "m": "h + 8", "g": "m + 18", "r": "g + 17", "q": "r + 13", "l": "e + 12", "w": "l + 2", "n": "w + 6", "t": "n + 2", "c": "t + 5", "p": "c + 20", "e": 11}, "premises": {"e": 11}, "target": "q"}, "answer": {"steps": [["r", "g + 17", "g + 30"], ["g", "m + 18", "m + 48"], ["m", "h + 8", "h + 56"], ["h", "z + 4", "z + 60"], ["z", "e + 19", "e + 79"], ["e", 11, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"e": 11}, "is_reverse": true}} | 18,116 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = g + 17; p = c + 20; h = z + 4; e = 11; q = r + 13; c = t + 5; z = e + 19; w = l + 2; g = m + 18; t = n + 2; n = w + 6; m = h + 8; l = e + 12. Given that e = 11, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 17 to q, which gives q = g + 30.\n2. Substitute g = m + 18 to q, which gives q = m + 48.\n3. Substitute m = h + 8 to q, which gives q = h + 56.\n4. Substitute h = z + 4 to q, which gives q = z + 60.\n5. Substitute z = e + 19 to q, which gives q = e + 79.\n6. Substitute e = 11 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 18116,
"question": "Suppose a collection of variables is related by the following definitions: r = g + 17; p = c + 20; h = z + 4; e = 11; q = r + 13; c = t + 5; z = e + 19; w = l + 2; g = m + 18; t = n + 2; n = w + 6; m = h + 8; l = e + 12. Given that e = 11, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 10", "g": "r + 15", "a": "g + 16", "c": "a + 16", "n": "c + 1", "j": "n + 7", "d": "u + 20", "k": "d + 4", "w": "k + 10", "o": "w + 2", "t": "o + 13", "l": "t + 11", "u": 2}, "premises": {"u": 2}, "target": "j"}, "answer": {"steps": [["n", "c + 1", "c + 8"], ["c", "a + 16", "a + 24"], ["a", "g + 16", "g + 40"], ["g", "r + 15", "r + 55"], ["r", "u + 10", "u + 65"], ["u", 2, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"u": 2}, "is_reverse": true}} | 18,117 | 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 = a + 16; u = 2; n = c + 1; t = o + 13; o = w + 2; k = d + 4; g = r + 15; l = t + 11; w = k + 10; r = u + 10; a = g + 16; d = u + 20; j = n + 7. If u = 2, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = c + 1 to j, which gives j = c + 8.\n2. Substitute c = a + 16 to j, which gives j = a + 24.\n3. Substitute a = g + 16 to j, which gives j = g + 40.\n4. Substitute g = r + 15 to j, which gives j = r + 55.\n5. Substitute r = u + 10 to j, which gives j = u + 65.\n6. Substitute u = 2 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 18117,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 16; u = 2; n = c + 1; t = o + 13; o = w + 2; k = d + 4; g = r + 15; l = t + 11; w = k + 10; r = u + 10; a = g + 16; d = u + 20; j = n + 7. If u = 2, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 20", "m": "s + 11", "p": "m + 2", "q": "p + 16", "k": "q + 2", "e": "k + 7", "x": "g + 2", "n": "x + 17", "l": "n + 8", "o": "l + 11", "i": "o + 15", "v": "i + 15", "g": 12}, "premises": {"g": 12}, "target": "e"}, "answer": {"steps": [["k", "q + 2", "q + 9"], ["q", "p + 16", "p + 25"], ["p", "m + 2", "m + 27"], ["m", "s + 11", "s + 38"], ["s", "g + 20", "g + 58"], ["g", 12, "70"]], "target_var_name": "e", "target_value": 70, "value_dict": {"g": 12}, "is_reverse": true}} | 18,118 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = i + 15; e = k + 7; q = p + 16; m = s + 11; s = g + 20; x = g + 2; o = l + 11; n = x + 17; i = o + 15; g = 12; p = m + 2; k = q + 2; l = n + 8. If g = 12, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = q + 2 to e, which gives e = q + 9.\n2. Substitute q = p + 16 to e, which gives e = p + 25.\n3. Substitute p = m + 2 to e, which gives e = m + 27.\n4. Substitute m = s + 11 to e, which gives e = s + 38.\n5. Substitute s = g + 20 to e, which gives e = g + 58.\n6. Substitute g = 12 to e, which gives e = 70.\n\nThus, the final answer is e = \\boxed{70}.",
"index": 18118,
"question": "Consider a system of variables where each variable is defined as follows: v = i + 15; e = k + 7; q = p + 16; m = s + 11; s = g + 20; x = g + 2; o = l + 11; n = x + 17; i = o + 15; g = 12; p = m + 2; k = q + 2; l = n + 8. If g = 12, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 18", "m": "d + 17", "f": "m + 8", "n": "f + 12", "i": "n + 1", "g": "i + 6", "s": "w + 17", "t": "s + 8", "e": "t + 11", "c": "e + 3", "r": "c + 11", "l": "r + 3", "w": 10}, "premises": {"w": 10}, "target": "g"}, "answer": {"steps": [["i", "n + 1", "n + 7"], ["n", "f + 12", "f + 19"], ["f", "m + 8", "m + 27"], ["m", "d + 17", "d + 44"], ["d", "w + 18", "w + 62"], ["w", 10, "72"]], "target_var_name": "g", "target_value": 72, "value_dict": {"w": 10}, "is_reverse": true}} | 18,119 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 12; r = c + 11; d = w + 18; e = t + 11; w = 10; s = w + 17; m = d + 17; i = n + 1; f = m + 8; t = s + 8; g = i + 6; l = r + 3; c = e + 3. Given that w = 10, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 1 to g, which gives g = n + 7.\n2. Substitute n = f + 12 to g, which gives g = f + 19.\n3. Substitute f = m + 8 to g, which gives g = m + 27.\n4. Substitute m = d + 17 to g, which gives g = d + 44.\n5. Substitute d = w + 18 to g, which gives g = w + 62.\n6. Substitute w = 10 to g, which gives g = 72.\n\nThus, the final answer is g = \\boxed{72}.",
"index": 18119,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 12; r = c + 11; d = w + 18; e = t + 11; w = 10; s = w + 17; m = d + 17; i = n + 1; f = m + 8; t = s + 8; g = i + 6; l = r + 3; c = e + 3. Given that w = 10, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 19", "f": "z + 1", "c": "f + 10", "b": "c + 7", "m": "b + 6", "o": "m + 8", "e": "n + 11", "x": "e + 8", "a": "x + 14", "l": "a + 17", "t": "l + 8", "j": "t + 5", "n": 10}, "premises": {"n": 10}, "target": "o"}, "answer": {"steps": [["m", "b + 6", "b + 14"], ["b", "c + 7", "c + 21"], ["c", "f + 10", "f + 31"], ["f", "z + 1", "z + 32"], ["z", "n + 19", "n + 51"], ["n", 10, "61"]], "target_var_name": "o", "target_value": 61, "value_dict": {"n": 10}, "is_reverse": true}} | 18,120 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = t + 5; m = b + 6; b = c + 7; x = e + 8; o = m + 8; f = z + 1; c = f + 10; n = 10; l = a + 17; z = n + 19; a = x + 14; t = l + 8; e = n + 11. Given that n = 10, find the 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 m = b + 6 to o, which gives o = b + 14.\n2. Substitute b = c + 7 to o, which gives o = c + 21.\n3. Substitute c = f + 10 to o, which gives o = f + 31.\n4. Substitute f = z + 1 to o, which gives o = z + 32.\n5. Substitute z = n + 19 to o, which gives o = n + 51.\n6. Substitute n = 10 to o, which gives o = 61.\n\nThus, the final answer is o = \\boxed{61}.",
"index": 18120,
"question": "Suppose a collection of variables is related by the following definitions: j = t + 5; m = b + 6; b = c + 7; x = e + 8; o = m + 8; f = z + 1; c = f + 10; n = 10; l = a + 17; z = n + 19; a = x + 14; t = l + 8; e = n + 11. Given that n = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 13", "o": "t + 14", "s": "o + 1", "u": "s + 14", "r": "u + 16", "h": "r + 1", "k": "y + 17", "d": "k + 15", "l": "d + 15", "q": "l + 6", "g": "q + 2", "v": "g + 14", "y": 17}, "premises": {"y": 17}, "target": "h"}, "answer": {"steps": [["r", "u + 16", "u + 17"], ["u", "s + 14", "s + 31"], ["s", "o + 1", "o + 32"], ["o", "t + 14", "t + 46"], ["t", "y + 13", "y + 59"], ["y", 17, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"y": 17}, "is_reverse": true}} | 18,121 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = q + 2; r = u + 16; q = l + 6; o = t + 14; v = g + 14; l = d + 15; d = k + 15; u = s + 14; k = y + 17; h = r + 1; y = 17; t = y + 13; s = o + 1. Given that y = 17, find the 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 r = u + 16 to h, which gives h = u + 17.\n2. Substitute u = s + 14 to h, which gives h = s + 31.\n3. Substitute s = o + 1 to h, which gives h = o + 32.\n4. Substitute o = t + 14 to h, which gives h = t + 46.\n5. Substitute t = y + 13 to h, which gives h = y + 59.\n6. Substitute y = 17 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 18121,
"question": "Suppose a collection of variables is related by the following definitions: g = q + 2; r = u + 16; q = l + 6; o = t + 14; v = g + 14; l = d + 15; d = k + 15; u = s + 14; k = y + 17; h = r + 1; y = 17; t = y + 13; s = o + 1. Given that y = 17, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 9", "c": "y + 10", "l": "c + 3", "o": "l + 12", "b": "o + 14", "e": "b + 10", "k": "i + 9", "x": "k + 8", "n": "x + 12", "j": "n + 16", "s": "j + 8", "d": "s + 7", "i": 1}, "premises": {"i": 1}, "target": "e"}, "answer": {"steps": [["b", "o + 14", "o + 24"], ["o", "l + 12", "l + 36"], ["l", "c + 3", "c + 39"], ["c", "y + 10", "y + 49"], ["y", "i + 9", "i + 58"], ["i", 1, "59"]], "target_var_name": "e", "target_value": 59, "value_dict": {"i": 1}, "is_reverse": true}} | 18,122 | 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 = i + 9; c = y + 10; s = j + 8; x = k + 8; o = l + 12; j = n + 16; n = x + 12; b = o + 14; l = c + 3; k = i + 9; d = s + 7; e = b + 10; i = 1. If i = 1, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 14 to e, which gives e = o + 24.\n2. Substitute o = l + 12 to e, which gives e = l + 36.\n3. Substitute l = c + 3 to e, which gives e = c + 39.\n4. Substitute c = y + 10 to e, which gives e = y + 49.\n5. Substitute y = i + 9 to e, which gives e = i + 58.\n6. Substitute i = 1 to e, which gives e = 59.\n\nThus, the final answer is e = \\boxed{59}.",
"index": 18122,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = i + 9; c = y + 10; s = j + 8; x = k + 8; o = l + 12; j = n + 16; n = x + 12; b = o + 14; l = c + 3; k = i + 9; d = s + 7; e = b + 10; i = 1. If i = 1, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"g": "m + 15", "h": "g + 2", "a": "h + 10", "e": "a + 9", "f": "e + 4", "n": "f + 20", "c": "m + 3", "d": "c + 2", "v": "d + 2", "q": "v + 13", "x": "q + 10", "p": "x + 8", "m": 11}, "premises": {"m": 11}, "target": "n"}, "answer": {"steps": [["f", "e + 4", "e + 24"], ["e", "a + 9", "a + 33"], ["a", "h + 10", "h + 43"], ["h", "g + 2", "g + 45"], ["g", "m + 15", "m + 60"], ["m", 11, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"m": 11}, "is_reverse": true}} | 18,123 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = x + 8; h = g + 2; q = v + 13; g = m + 15; x = q + 10; d = c + 2; c = m + 3; f = e + 4; e = a + 9; v = d + 2; a = h + 10; m = 11; n = f + 20. Given that m = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 4 to n, which gives n = e + 24.\n2. Substitute e = a + 9 to n, which gives n = a + 33.\n3. Substitute a = h + 10 to n, which gives n = h + 43.\n4. Substitute h = g + 2 to n, which gives n = g + 45.\n5. Substitute g = m + 15 to n, which gives n = m + 60.\n6. Substitute m = 11 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 18123,
"question": "Suppose a collection of variables is related by the following definitions: p = x + 8; h = g + 2; q = v + 13; g = m + 15; x = q + 10; d = c + 2; c = m + 3; f = e + 4; e = a + 9; v = d + 2; a = h + 10; m = 11; n = f + 20. Given that m = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 19", "b": "o + 5", "p": "b + 11", "h": "p + 16", "i": "h + 16", "d": "i + 11", "e": "f + 2", "t": "e + 12", "a": "t + 14", "z": "a + 8", "v": "z + 9", "y": "v + 15", "f": 14}, "premises": {"f": 14}, "target": "d"}, "answer": {"steps": [["i", "h + 16", "h + 27"], ["h", "p + 16", "p + 43"], ["p", "b + 11", "b + 54"], ["b", "o + 5", "o + 59"], ["o", "f + 19", "f + 78"], ["f", 14, "92"]], "target_var_name": "d", "target_value": 92, "value_dict": {"f": 14}, "is_reverse": true}} | 18,124 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = p + 16; b = o + 5; t = e + 12; e = f + 2; z = a + 8; f = 14; p = b + 11; d = i + 11; i = h + 16; a = t + 14; y = v + 15; o = f + 19; v = z + 9. If f = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 16 to d, which gives d = h + 27.\n2. Substitute h = p + 16 to d, which gives d = p + 43.\n3. Substitute p = b + 11 to d, which gives d = b + 54.\n4. Substitute b = o + 5 to d, which gives d = o + 59.\n5. Substitute o = f + 19 to d, which gives d = f + 78.\n6. Substitute f = 14 to d, which gives d = 92.\n\nThus, the final answer is d = \\boxed{92}.",
"index": 18124,
"question": "Consider a system of variables where each variable is defined as follows: h = p + 16; b = o + 5; t = e + 12; e = f + 2; z = a + 8; f = 14; p = b + 11; d = i + 11; i = h + 16; a = t + 14; y = v + 15; o = f + 19; v = z + 9. If f = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 14", "o": "f + 8", "t": "o + 18", "y": "t + 7", "m": "y + 10", "r": "m + 2", "a": "g + 10", "s": "a + 11", "j": "s + 13", "p": "j + 16", "c": "p + 15", "n": "c + 13", "g": 18}, "premises": {"g": 18}, "target": "r"}, "answer": {"steps": [["m", "y + 10", "y + 12"], ["y", "t + 7", "t + 19"], ["t", "o + 18", "o + 37"], ["o", "f + 8", "f + 45"], ["f", "g + 14", "g + 59"], ["g", 18, "77"]], "target_var_name": "r", "target_value": 77, "value_dict": {"g": 18}, "is_reverse": true}} | 18,125 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 10; r = m + 2; f = g + 14; j = s + 13; s = a + 11; a = g + 10; y = t + 7; n = c + 13; t = o + 18; c = p + 15; p = j + 16; g = 18; o = f + 8. If g = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 10 to r, which gives r = y + 12.\n2. Substitute y = t + 7 to r, which gives r = t + 19.\n3. Substitute t = o + 18 to r, which gives r = o + 37.\n4. Substitute o = f + 8 to r, which gives r = f + 45.\n5. Substitute f = g + 14 to r, which gives r = g + 59.\n6. Substitute g = 18 to r, which gives r = 77.\n\nThus, the final answer is r = \\boxed{77}.",
"index": 18125,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 10; r = m + 2; f = g + 14; j = s + 13; s = a + 11; a = g + 10; y = t + 7; n = c + 13; t = o + 18; c = p + 15; p = j + 16; g = 18; o = f + 8. If g = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 17", "n": "i + 13", "x": "n + 4", "v": "x + 14", "s": "v + 13", "b": "s + 3", "q": "a + 7", "w": "q + 9", "u": "w + 6", "m": "u + 2", "f": "m + 17", "d": "f + 5", "a": 13}, "premises": {"a": 13}, "target": "b"}, "answer": {"steps": [["s", "v + 13", "v + 16"], ["v", "x + 14", "x + 30"], ["x", "n + 4", "n + 34"], ["n", "i + 13", "i + 47"], ["i", "a + 17", "a + 64"], ["a", 13, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"a": 13}, "is_reverse": true}} | 18,126 | 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 = v + 13; x = n + 4; d = f + 5; q = a + 7; a = 13; i = a + 17; v = x + 14; b = s + 3; u = w + 6; f = m + 17; n = i + 13; m = u + 2; w = q + 9. If a = 13, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to b, which gives b = v + 16.\n2. Substitute v = x + 14 to b, which gives b = x + 30.\n3. Substitute x = n + 4 to b, which gives b = n + 34.\n4. Substitute n = i + 13 to b, which gives b = i + 47.\n5. Substitute i = a + 17 to b, which gives b = a + 64.\n6. Substitute a = 13 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 18126,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = v + 13; x = n + 4; d = f + 5; q = a + 7; a = 13; i = a + 17; v = x + 14; b = s + 3; u = w + 6; f = m + 17; n = i + 13; m = u + 2; w = q + 9. If a = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 7", "c": "n + 9", "r": "c + 12", "j": "r + 17", "b": "j + 16", "h": "b + 1", "p": "f + 13", "e": "p + 17", "l": "e + 5", "s": "l + 7", "x": "s + 19", "d": "x + 10", "f": 9}, "premises": {"f": 9}, "target": "h"}, "answer": {"steps": [["b", "j + 16", "j + 17"], ["j", "r + 17", "r + 34"], ["r", "c + 12", "c + 46"], ["c", "n + 9", "n + 55"], ["n", "f + 7", "f + 62"], ["f", 9, "71"]], "target_var_name": "h", "target_value": 71, "value_dict": {"f": 9}, "is_reverse": true}} | 18,127 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 17; n = f + 7; f = 9; l = e + 5; x = s + 19; e = p + 17; d = x + 10; h = b + 1; p = f + 13; c = n + 9; s = l + 7; b = j + 16; r = c + 12. Given that f = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 16 to h, which gives h = j + 17.\n2. Substitute j = r + 17 to h, which gives h = r + 34.\n3. Substitute r = c + 12 to h, which gives h = c + 46.\n4. Substitute c = n + 9 to h, which gives h = n + 55.\n5. Substitute n = f + 7 to h, which gives h = f + 62.\n6. Substitute f = 9 to h, which gives h = 71.\n\nThus, the final answer is h = \\boxed{71}.",
"index": 18127,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 17; n = f + 7; f = 9; l = e + 5; x = s + 19; e = p + 17; d = x + 10; h = b + 1; p = f + 13; c = n + 9; s = l + 7; b = j + 16; r = c + 12. Given that f = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 5", "w": "a + 17", "v": "w + 16", "m": "v + 3", "r": "m + 4", "c": "r + 3", "b": "z + 18", "g": "b + 15", "n": "g + 8", "t": "n + 17", "q": "t + 7", "o": "q + 9", "z": 6}, "premises": {"z": 6}, "target": "c"}, "answer": {"steps": [["r", "m + 4", "m + 7"], ["m", "v + 3", "v + 10"], ["v", "w + 16", "w + 26"], ["w", "a + 17", "a + 43"], ["a", "z + 5", "z + 48"], ["z", 6, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"z": 6}, "is_reverse": true}} | 18,128 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = q + 9; w = a + 17; r = m + 4; m = v + 3; q = t + 7; v = w + 16; n = g + 8; z = 6; t = n + 17; g = b + 15; c = r + 3; a = z + 5; b = z + 18. If z = 6, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = m + 4 to c, which gives c = m + 7.\n2. Substitute m = v + 3 to c, which gives c = v + 10.\n3. Substitute v = w + 16 to c, which gives c = w + 26.\n4. Substitute w = a + 17 to c, which gives c = a + 43.\n5. Substitute a = z + 5 to c, which gives c = z + 48.\n6. Substitute z = 6 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 18128,
"question": "Consider a system of variables where each variable is defined as follows: o = q + 9; w = a + 17; r = m + 4; m = v + 3; q = t + 7; v = w + 16; n = g + 8; z = 6; t = n + 17; g = b + 15; c = r + 3; a = z + 5; b = z + 18. If z = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 20", "n": "e + 3", "y": "n + 9", "g": "y + 13", "r": "g + 16", "i": "r + 13", "a": "v + 5", "z": "a + 19", "d": "z + 14", "f": "d + 12", "j": "f + 19", "b": "j + 12", "v": 1}, "premises": {"v": 1}, "target": "i"}, "answer": {"steps": [["r", "g + 16", "g + 29"], ["g", "y + 13", "y + 42"], ["y", "n + 9", "n + 51"], ["n", "e + 3", "e + 54"], ["e", "v + 20", "v + 74"], ["v", 1, "75"]], "target_var_name": "i", "target_value": 75, "value_dict": {"v": 1}, "is_reverse": true}} | 18,129 | 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 = z + 14; r = g + 16; b = j + 12; v = 1; y = n + 9; g = y + 13; a = v + 5; i = r + 13; f = d + 12; j = f + 19; z = a + 19; e = v + 20; n = e + 3. If v = 1, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 16 to i, which gives i = g + 29.\n2. Substitute g = y + 13 to i, which gives i = y + 42.\n3. Substitute y = n + 9 to i, which gives i = n + 51.\n4. Substitute n = e + 3 to i, which gives i = e + 54.\n5. Substitute e = v + 20 to i, which gives i = v + 74.\n6. Substitute v = 1 to i, which gives i = 75.\n\nThus, the final answer is i = \\boxed{75}.",
"index": 18129,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = z + 14; r = g + 16; b = j + 12; v = 1; y = n + 9; g = y + 13; a = v + 5; i = r + 13; f = d + 12; j = f + 19; z = a + 19; e = v + 20; n = e + 3. If v = 1, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 20", "e": "k + 13", "p": "e + 3", "w": "p + 7", "x": "w + 6", "n": "x + 11", "y": "b + 15", "z": "y + 2", "d": "z + 2", "m": "d + 4", "j": "m + 3", "s": "j + 19", "b": 2}, "premises": {"b": 2}, "target": "n"}, "answer": {"steps": [["x", "w + 6", "w + 17"], ["w", "p + 7", "p + 24"], ["p", "e + 3", "e + 27"], ["e", "k + 13", "k + 40"], ["k", "b + 20", "b + 60"], ["b", 2, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"b": 2}, "is_reverse": true}} | 18,130 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = e + 3; b = 2; n = x + 11; y = b + 15; w = p + 7; s = j + 19; x = w + 6; j = m + 3; k = b + 20; m = d + 4; d = z + 2; z = y + 2; e = k + 13. If b = 2, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 6 to n, which gives n = w + 17.\n2. Substitute w = p + 7 to n, which gives n = p + 24.\n3. Substitute p = e + 3 to n, which gives n = e + 27.\n4. Substitute e = k + 13 to n, which gives n = k + 40.\n5. Substitute k = b + 20 to n, which gives n = b + 60.\n6. Substitute b = 2 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 18130,
"question": "Consider a system of variables where each variable is defined as follows: p = e + 3; b = 2; n = x + 11; y = b + 15; w = p + 7; s = j + 19; x = w + 6; j = m + 3; k = b + 20; m = d + 4; d = z + 2; z = y + 2; e = k + 13. If b = 2, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 8", "u": "g + 1", "o": "u + 4", "t": "o + 4", "v": "t + 9", "z": "v + 3", "d": "i + 7", "l": "d + 18", "a": "l + 19", "b": "a + 12", "w": "b + 8", "n": "w + 11", "i": 17}, "premises": {"i": 17}, "target": "z"}, "answer": {"steps": [["v", "t + 9", "t + 12"], ["t", "o + 4", "o + 16"], ["o", "u + 4", "u + 20"], ["u", "g + 1", "g + 21"], ["g", "i + 8", "i + 29"], ["i", 17, "46"]], "target_var_name": "z", "target_value": 46, "value_dict": {"i": 17}, "is_reverse": true}} | 18,131 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 19; i = 17; t = o + 4; g = i + 8; v = t + 9; l = d + 18; z = v + 3; b = a + 12; u = g + 1; o = u + 4; d = i + 7; w = b + 8; n = w + 11. Given that i = 17, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = t + 9 to z, which gives z = t + 12.\n2. Substitute t = o + 4 to z, which gives z = o + 16.\n3. Substitute o = u + 4 to z, which gives z = u + 20.\n4. Substitute u = g + 1 to z, which gives z = g + 21.\n5. Substitute g = i + 8 to z, which gives z = i + 29.\n6. Substitute i = 17 to z, which gives z = 46.\n\nThus, the final answer is z = \\boxed{46}.",
"index": 18131,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 19; i = 17; t = o + 4; g = i + 8; v = t + 9; l = d + 18; z = v + 3; b = a + 12; u = g + 1; o = u + 4; d = i + 7; w = b + 8; n = w + 11. Given that i = 17, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 16", "y": "n + 3", "h": "y + 1", "w": "h + 16", "f": "w + 8", "u": "f + 3", "p": "a + 14", "b": "p + 11", "t": "b + 4", "c": "t + 7", "q": "c + 3", "v": "q + 12", "a": 3}, "premises": {"a": 3}, "target": "u"}, "answer": {"steps": [["f", "w + 8", "w + 11"], ["w", "h + 16", "h + 27"], ["h", "y + 1", "y + 28"], ["y", "n + 3", "n + 31"], ["n", "a + 16", "a + 47"], ["a", 3, "50"]], "target_var_name": "u", "target_value": 50, "value_dict": {"a": 3}, "is_reverse": true}} | 18,132 | 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 = w + 8; n = a + 16; u = f + 3; t = b + 4; p = a + 14; q = c + 3; v = q + 12; a = 3; c = t + 7; w = h + 16; y = n + 3; b = p + 11; h = y + 1. If a = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 8 to u, which gives u = w + 11.\n2. Substitute w = h + 16 to u, which gives u = h + 27.\n3. Substitute h = y + 1 to u, which gives u = y + 28.\n4. Substitute y = n + 3 to u, which gives u = n + 31.\n5. Substitute n = a + 16 to u, which gives u = a + 47.\n6. Substitute a = 3 to u, which gives u = 50.\n\nThus, the final answer is u = \\boxed{50}.",
"index": 18132,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = w + 8; n = a + 16; u = f + 3; t = b + 4; p = a + 14; q = c + 3; v = q + 12; a = 3; c = t + 7; w = h + 16; y = n + 3; b = p + 11; h = y + 1. If a = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"n": "d + 11", "c": "n + 8", "v": "c + 8", "q": "v + 14", "l": "q + 1", "h": "l + 7", "b": "d + 4", "x": "b + 15", "k": "x + 14", "a": "k + 12", "u": "a + 3", "g": "u + 13", "d": 18}, "premises": {"d": 18}, "target": "h"}, "answer": {"steps": [["l", "q + 1", "q + 8"], ["q", "v + 14", "v + 22"], ["v", "c + 8", "c + 30"], ["c", "n + 8", "n + 38"], ["n", "d + 11", "d + 49"], ["d", 18, "67"]], "target_var_name": "h", "target_value": 67, "value_dict": {"d": 18}, "is_reverse": true}} | 18,133 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 7; d = 18; v = c + 8; x = b + 15; k = x + 14; b = d + 4; n = d + 11; a = k + 12; c = n + 8; u = a + 3; g = u + 13; l = q + 1; q = v + 14. If d = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 1 to h, which gives h = q + 8.\n2. Substitute q = v + 14 to h, which gives h = v + 22.\n3. Substitute v = c + 8 to h, which gives h = c + 30.\n4. Substitute c = n + 8 to h, which gives h = n + 38.\n5. Substitute n = d + 11 to h, which gives h = d + 49.\n6. Substitute d = 18 to h, which gives h = 67.\n\nThus, the final answer is h = \\boxed{67}.",
"index": 18133,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 7; d = 18; v = c + 8; x = b + 15; k = x + 14; b = d + 4; n = d + 11; a = k + 12; c = n + 8; u = a + 3; g = u + 13; l = q + 1; q = v + 14. If d = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 14", "j": "f + 16", "i": "j + 16", "d": "i + 2", "w": "d + 10", "l": "w + 9", "b": "g + 12", "c": "b + 15", "r": "c + 5", "a": "r + 5", "e": "a + 16", "t": "e + 3", "g": 10}, "premises": {"g": 10}, "target": "l"}, "answer": {"steps": [["w", "d + 10", "d + 19"], ["d", "i + 2", "i + 21"], ["i", "j + 16", "j + 37"], ["j", "f + 16", "f + 53"], ["f", "g + 14", "g + 67"], ["g", 10, "77"]], "target_var_name": "l", "target_value": 77, "value_dict": {"g": 10}, "is_reverse": true}} | 18,134 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = i + 2; b = g + 12; t = e + 3; e = a + 16; a = r + 5; l = w + 9; j = f + 16; i = j + 16; g = 10; c = b + 15; w = d + 10; r = c + 5; f = g + 14. If g = 10, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 10 to l, which gives l = d + 19.\n2. Substitute d = i + 2 to l, which gives l = i + 21.\n3. Substitute i = j + 16 to l, which gives l = j + 37.\n4. Substitute j = f + 16 to l, which gives l = f + 53.\n5. Substitute f = g + 14 to l, which gives l = g + 67.\n6. Substitute g = 10 to l, which gives l = 77.\n\nThus, the final answer is l = \\boxed{77}.",
"index": 18134,
"question": "Consider a system of variables where each variable is defined as follows: d = i + 2; b = g + 12; t = e + 3; e = a + 16; a = r + 5; l = w + 9; j = f + 16; i = j + 16; g = 10; c = b + 15; w = d + 10; r = c + 5; f = g + 14. If g = 10, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 18", "s": "n + 20", "a": "s + 1", "p": "a + 16", "i": "p + 4", "v": "i + 2", "d": "o + 9", "w": "d + 10", "r": "w + 19", "f": "r + 14", "l": "f + 1", "b": "l + 13", "o": 10}, "premises": {"o": 10}, "target": "v"}, "answer": {"steps": [["i", "p + 4", "p + 6"], ["p", "a + 16", "a + 22"], ["a", "s + 1", "s + 23"], ["s", "n + 20", "n + 43"], ["n", "o + 18", "o + 61"], ["o", 10, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"o": 10}, "is_reverse": true}} | 18,135 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 1; w = d + 10; p = a + 16; r = w + 19; f = r + 14; v = i + 2; o = 10; d = o + 9; l = f + 1; s = n + 20; b = l + 13; i = p + 4; n = o + 18. If o = 10, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 4 to v, which gives v = p + 6.\n2. Substitute p = a + 16 to v, which gives v = a + 22.\n3. Substitute a = s + 1 to v, which gives v = s + 23.\n4. Substitute s = n + 20 to v, which gives v = n + 43.\n5. Substitute n = o + 18 to v, which gives v = o + 61.\n6. Substitute o = 10 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 18135,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = s + 1; w = d + 10; p = a + 16; r = w + 19; f = r + 14; v = i + 2; o = 10; d = o + 9; l = f + 1; s = n + 20; b = l + 13; i = p + 4; n = o + 18. If o = 10, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 18", "s": "t + 3", "d": "s + 19", "i": "d + 12", "l": "i + 19", "n": "l + 9", "a": "y + 2", "j": "a + 2", "g": "j + 8", "b": "g + 2", "v": "b + 11", "u": "v + 17", "y": 3}, "premises": {"y": 3}, "target": "n"}, "answer": {"steps": [["l", "i + 19", "i + 28"], ["i", "d + 12", "d + 40"], ["d", "s + 19", "s + 59"], ["s", "t + 3", "t + 62"], ["t", "y + 18", "y + 80"], ["y", 3, "83"]], "target_var_name": "n", "target_value": 83, "value_dict": {"y": 3}, "is_reverse": true}} | 18,136 | 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 = i + 19; b = g + 2; u = v + 17; a = y + 2; d = s + 19; s = t + 3; y = 3; t = y + 18; j = a + 2; v = b + 11; i = d + 12; n = l + 9; g = j + 8. If y = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 19 to n, which gives n = i + 28.\n2. Substitute i = d + 12 to n, which gives n = d + 40.\n3. Substitute d = s + 19 to n, which gives n = s + 59.\n4. Substitute s = t + 3 to n, which gives n = t + 62.\n5. Substitute t = y + 18 to n, which gives n = y + 80.\n6. Substitute y = 3 to n, which gives n = 83.\n\nThus, the final answer is n = \\boxed{83}.",
"index": 18136,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 19; b = g + 2; u = v + 17; a = y + 2; d = s + 19; s = t + 3; y = 3; t = y + 18; j = a + 2; v = b + 11; i = d + 12; n = l + 9; g = j + 8. If y = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 6", "n": "i + 14", "l": "n + 13", "v": "l + 13", "h": "v + 8", "z": "h + 15", "c": "e + 4", "t": "c + 15", "d": "t + 4", "g": "d + 13", "k": "g + 16", "m": "k + 4", "e": 11}, "premises": {"e": 11}, "target": "z"}, "answer": {"steps": [["h", "v + 8", "v + 23"], ["v", "l + 13", "l + 36"], ["l", "n + 13", "n + 49"], ["n", "i + 14", "i + 63"], ["i", "e + 6", "e + 69"], ["e", 11, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"e": 11}, "is_reverse": true}} | 18,137 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 16; c = e + 4; z = h + 15; n = i + 14; t = c + 15; h = v + 8; d = t + 4; v = l + 13; g = d + 13; l = n + 13; i = e + 6; m = k + 4; e = 11. If e = 11, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 8 to z, which gives z = v + 23.\n2. Substitute v = l + 13 to z, which gives z = l + 36.\n3. Substitute l = n + 13 to z, which gives z = n + 49.\n4. Substitute n = i + 14 to z, which gives z = i + 63.\n5. Substitute i = e + 6 to z, which gives z = e + 69.\n6. Substitute e = 11 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 18137,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 16; c = e + 4; z = h + 15; n = i + 14; t = c + 15; h = v + 8; d = t + 4; v = l + 13; g = d + 13; l = n + 13; i = e + 6; m = k + 4; e = 11. If e = 11, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 12", "g": "j + 16", "k": "g + 20", "b": "k + 14", "v": "b + 16", "h": "v + 18", "r": "x + 6", "i": "r + 10", "m": "i + 11", "s": "m + 14", "a": "s + 9", "l": "a + 7", "x": 11}, "premises": {"x": 11}, "target": "h"}, "answer": {"steps": [["v", "b + 16", "b + 34"], ["b", "k + 14", "k + 48"], ["k", "g + 20", "g + 68"], ["g", "j + 16", "j + 84"], ["j", "x + 12", "x + 96"], ["x", 11, "107"]], "target_var_name": "h", "target_value": 107, "value_dict": {"x": 11}, "is_reverse": true}} | 18,138 | 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 = m + 14; h = v + 18; b = k + 14; a = s + 9; j = x + 12; v = b + 16; i = r + 10; x = 11; m = i + 11; l = a + 7; g = j + 16; r = x + 6; k = g + 20. If x = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = b + 16 to h, which gives h = b + 34.\n2. Substitute b = k + 14 to h, which gives h = k + 48.\n3. Substitute k = g + 20 to h, which gives h = g + 68.\n4. Substitute g = j + 16 to h, which gives h = j + 84.\n5. Substitute j = x + 12 to h, which gives h = x + 96.\n6. Substitute x = 11 to h, which gives h = 107.\n\nThus, the final answer is h = \\boxed{107}.",
"index": 18138,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 14; h = v + 18; b = k + 14; a = s + 9; j = x + 12; v = b + 16; i = r + 10; x = 11; m = i + 11; l = a + 7; g = j + 16; r = x + 6; k = g + 20. If x = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 5", "w": "t + 7", "s": "w + 3", "i": "s + 13", "a": "i + 16", "h": "a + 12", "l": "z + 5", "d": "l + 1", "k": "d + 9", "b": "k + 15", "e": "b + 9", "p": "e + 20", "z": 10}, "premises": {"z": 10}, "target": "h"}, "answer": {"steps": [["a", "i + 16", "i + 28"], ["i", "s + 13", "s + 41"], ["s", "w + 3", "w + 44"], ["w", "t + 7", "t + 51"], ["t", "z + 5", "z + 56"], ["z", 10, "66"]], "target_var_name": "h", "target_value": 66, "value_dict": {"z": 10}, "is_reverse": true}} | 18,139 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 15; d = l + 1; w = t + 7; i = s + 13; s = w + 3; z = 10; a = i + 16; e = b + 9; l = z + 5; h = a + 12; k = d + 9; p = e + 20; t = z + 5. If z = 10, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 16 to h, which gives h = i + 28.\n2. Substitute i = s + 13 to h, which gives h = s + 41.\n3. Substitute s = w + 3 to h, which gives h = w + 44.\n4. Substitute w = t + 7 to h, which gives h = t + 51.\n5. Substitute t = z + 5 to h, which gives h = z + 56.\n6. Substitute z = 10 to h, which gives h = 66.\n\nThus, the final answer is h = \\boxed{66}.",
"index": 18139,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 15; d = l + 1; w = t + 7; i = s + 13; s = w + 3; z = 10; a = i + 16; e = b + 9; l = z + 5; h = a + 12; k = d + 9; p = e + 20; t = z + 5. If z = 10, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 8", "f": "q + 10", "d": "f + 13", "p": "d + 14", "u": "p + 9", "e": "u + 3", "y": "c + 5", "m": "y + 18", "g": "m + 11", "w": "g + 10", "z": "w + 3", "b": "z + 6", "c": 9}, "premises": {"c": 9}, "target": "e"}, "answer": {"steps": [["u", "p + 9", "p + 12"], ["p", "d + 14", "d + 26"], ["d", "f + 13", "f + 39"], ["f", "q + 10", "q + 49"], ["q", "c + 8", "c + 57"], ["c", 9, "66"]], "target_var_name": "e", "target_value": 66, "value_dict": {"c": 9}, "is_reverse": true}} | 18,140 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = z + 6; m = y + 18; f = q + 10; q = c + 8; g = m + 11; e = u + 3; c = 9; z = w + 3; u = p + 9; y = c + 5; p = d + 14; w = g + 10; d = f + 13. If c = 9, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 9 to e, which gives e = p + 12.\n2. Substitute p = d + 14 to e, which gives e = d + 26.\n3. Substitute d = f + 13 to e, which gives e = f + 39.\n4. Substitute f = q + 10 to e, which gives e = q + 49.\n5. Substitute q = c + 8 to e, which gives e = c + 57.\n6. Substitute c = 9 to e, which gives e = 66.\n\nThus, the final answer is e = \\boxed{66}.",
"index": 18140,
"question": "Consider a system of variables where each variable is defined as follows: b = z + 6; m = y + 18; f = q + 10; q = c + 8; g = m + 11; e = u + 3; c = 9; z = w + 3; u = p + 9; y = c + 5; p = d + 14; w = g + 10; d = f + 13. If c = 9, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 16", "f": "q + 11", "n": "f + 18", "s": "n + 7", "o": "s + 16", "t": "o + 18", "h": "u + 11", "r": "h + 1", "y": "r + 16", "a": "y + 4", "i": "a + 15", "b": "i + 10", "u": 19}, "premises": {"u": 19}, "target": "t"}, "answer": {"steps": [["o", "s + 16", "s + 34"], ["s", "n + 7", "n + 41"], ["n", "f + 18", "f + 59"], ["f", "q + 11", "q + 70"], ["q", "u + 16", "u + 86"], ["u", 19, "105"]], "target_var_name": "t", "target_value": 105, "value_dict": {"u": 19}, "is_reverse": true}} | 18,141 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = f + 18; i = a + 15; t = o + 18; h = u + 11; a = y + 4; y = r + 16; q = u + 16; u = 19; r = h + 1; b = i + 10; o = s + 16; s = n + 7; f = q + 11. Given that u = 19, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 16 to t, which gives t = s + 34.\n2. Substitute s = n + 7 to t, which gives t = n + 41.\n3. Substitute n = f + 18 to t, which gives t = f + 59.\n4. Substitute f = q + 11 to t, which gives t = q + 70.\n5. Substitute q = u + 16 to t, which gives t = u + 86.\n6. Substitute u = 19 to t, which gives t = 105.\n\nThus, the final answer is t = \\boxed{105}.",
"index": 18141,
"question": "Suppose a collection of variables is related by the following definitions: n = f + 18; i = a + 15; t = o + 18; h = u + 11; a = y + 4; y = r + 16; q = u + 16; u = 19; r = h + 1; b = i + 10; o = s + 16; s = n + 7; f = q + 11. Given that u = 19, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "w + 4", "o": "t + 9", "i": "o + 17", "p": "i + 19", "m": "p + 5", "j": "m + 5", "g": "w + 13", "v": "g + 20", "f": "v + 8", "u": "f + 18", "a": "u + 1", "q": "a + 12", "w": 4}, "premises": {"w": 4}, "target": "j"}, "answer": {"steps": [["m", "p + 5", "p + 10"], ["p", "i + 19", "i + 29"], ["i", "o + 17", "o + 46"], ["o", "t + 9", "t + 55"], ["t", "w + 4", "w + 59"], ["w", 4, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"w": 4}, "is_reverse": true}} | 18,142 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = m + 5; p = i + 19; q = a + 12; a = u + 1; w = 4; o = t + 9; i = o + 17; m = p + 5; t = w + 4; u = f + 18; v = g + 20; f = v + 8; g = w + 13. If w = 4, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 5 to j, which gives j = p + 10.\n2. Substitute p = i + 19 to j, which gives j = i + 29.\n3. Substitute i = o + 17 to j, which gives j = o + 46.\n4. Substitute o = t + 9 to j, which gives j = t + 55.\n5. Substitute t = w + 4 to j, which gives j = w + 59.\n6. Substitute w = 4 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 18142,
"question": "Consider a system of variables where each variable is defined as follows: j = m + 5; p = i + 19; q = a + 12; a = u + 1; w = 4; o = t + 9; i = o + 17; m = p + 5; t = w + 4; u = f + 18; v = g + 20; f = v + 8; g = w + 13. If w = 4, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 14", "j": "e + 2", "s": "j + 14", "l": "s + 13", "x": "l + 12", "g": "x + 17", "v": "a + 17", "f": "v + 12", "d": "f + 11", "o": "d + 2", "r": "o + 16", "k": "r + 3", "a": 4}, "premises": {"a": 4}, "target": "g"}, "answer": {"steps": [["x", "l + 12", "l + 29"], ["l", "s + 13", "s + 42"], ["s", "j + 14", "j + 56"], ["j", "e + 2", "e + 58"], ["e", "a + 14", "a + 72"], ["a", 4, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"a": 4}, "is_reverse": true}} | 18,143 | 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 = o + 16; s = j + 14; e = a + 14; j = e + 2; o = d + 2; v = a + 17; g = x + 17; a = 4; k = r + 3; d = f + 11; x = l + 12; l = s + 13; f = v + 12. If a = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 12 to g, which gives g = l + 29.\n2. Substitute l = s + 13 to g, which gives g = s + 42.\n3. Substitute s = j + 14 to g, which gives g = j + 56.\n4. Substitute j = e + 2 to g, which gives g = e + 58.\n5. Substitute e = a + 14 to g, which gives g = a + 72.\n6. Substitute a = 4 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 18143,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 16; s = j + 14; e = a + 14; j = e + 2; o = d + 2; v = a + 17; g = x + 17; a = 4; k = r + 3; d = f + 11; x = l + 12; l = s + 13; f = v + 12. If a = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 12", "b": "a + 3", "q": "b + 11", "o": "q + 11", "h": "o + 14", "w": "h + 12", "p": "i + 14", "v": "p + 15", "e": "v + 19", "m": "e + 8", "r": "m + 5", "z": "r + 13", "i": 8}, "premises": {"i": 8}, "target": "w"}, "answer": {"steps": [["h", "o + 14", "o + 26"], ["o", "q + 11", "q + 37"], ["q", "b + 11", "b + 48"], ["b", "a + 3", "a + 51"], ["a", "i + 12", "i + 63"], ["i", 8, "71"]], "target_var_name": "w", "target_value": 71, "value_dict": {"i": 8}, "is_reverse": true}} | 18,144 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = m + 5; z = r + 13; o = q + 11; w = h + 12; b = a + 3; h = o + 14; p = i + 14; v = p + 15; m = e + 8; a = i + 12; q = b + 11; i = 8; e = v + 19. If i = 8, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 14 to w, which gives w = o + 26.\n2. Substitute o = q + 11 to w, which gives w = q + 37.\n3. Substitute q = b + 11 to w, which gives w = b + 48.\n4. Substitute b = a + 3 to w, which gives w = a + 51.\n5. Substitute a = i + 12 to w, which gives w = i + 63.\n6. Substitute i = 8 to w, which gives w = 71.\n\nThus, the final answer is w = \\boxed{71}.",
"index": 18144,
"question": "Consider a system of variables where each variable is defined as follows: r = m + 5; z = r + 13; o = q + 11; w = h + 12; b = a + 3; h = o + 14; p = i + 14; v = p + 15; m = e + 8; a = i + 12; q = b + 11; i = 8; e = v + 19. If i = 8, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"f": "l + 15", "s": "f + 18", "z": "s + 11", "q": "z + 4", "g": "q + 4", "e": "g + 5", "k": "l + 4", "m": "k + 17", "b": "m + 14", "i": "b + 11", "p": "i + 9", "u": "p + 13", "l": 20}, "premises": {"l": 20}, "target": "e"}, "answer": {"steps": [["g", "q + 4", "q + 9"], ["q", "z + 4", "z + 13"], ["z", "s + 11", "s + 24"], ["s", "f + 18", "f + 42"], ["f", "l + 15", "l + 57"], ["l", 20, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"l": 20}, "is_reverse": true}} | 18,145 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = f + 18; u = p + 13; e = g + 5; f = l + 15; i = b + 11; m = k + 17; q = z + 4; g = q + 4; b = m + 14; p = i + 9; k = l + 4; z = s + 11; l = 20. If l = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 4 to e, which gives e = q + 9.\n2. Substitute q = z + 4 to e, which gives e = z + 13.\n3. Substitute z = s + 11 to e, which gives e = s + 24.\n4. Substitute s = f + 18 to e, which gives e = f + 42.\n5. Substitute f = l + 15 to e, which gives e = l + 57.\n6. Substitute l = 20 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 18145,
"question": "Consider a system of variables where each variable is defined as follows: s = f + 18; u = p + 13; e = g + 5; f = l + 15; i = b + 11; m = k + 17; q = z + 4; g = q + 4; b = m + 14; p = i + 9; k = l + 4; z = s + 11; l = 20. If l = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 6", "z": "k + 20", "u": "z + 20", "h": "u + 6", "w": "h + 9", "n": "w + 13", "c": "e + 13", "r": "c + 10", "i": "r + 6", "a": "i + 13", "m": "a + 18", "g": "m + 6", "e": 17}, "premises": {"e": 17}, "target": "n"}, "answer": {"steps": [["w", "h + 9", "h + 22"], ["h", "u + 6", "u + 28"], ["u", "z + 20", "z + 48"], ["z", "k + 20", "k + 68"], ["k", "e + 6", "e + 74"], ["e", 17, "91"]], "target_var_name": "n", "target_value": 91, "value_dict": {"e": 17}, "is_reverse": true}} | 18,146 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 20; h = u + 6; z = k + 20; i = r + 6; a = i + 13; w = h + 9; g = m + 6; k = e + 6; m = a + 18; n = w + 13; e = 17; r = c + 10; c = e + 13. If e = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 9 to n, which gives n = h + 22.\n2. Substitute h = u + 6 to n, which gives n = u + 28.\n3. Substitute u = z + 20 to n, which gives n = z + 48.\n4. Substitute z = k + 20 to n, which gives n = k + 68.\n5. Substitute k = e + 6 to n, which gives n = e + 74.\n6. Substitute e = 17 to n, which gives n = 91.\n\nThus, the final answer is n = \\boxed{91}.",
"index": 18146,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = z + 20; h = u + 6; z = k + 20; i = r + 6; a = i + 13; w = h + 9; g = m + 6; k = e + 6; m = a + 18; n = w + 13; e = 17; r = c + 10; c = e + 13. If e = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 13", "w": "z + 8", "f": "w + 2", "s": "f + 8", "x": "s + 5", "b": "x + 18", "c": "m + 9", "y": "c + 2", "d": "y + 2", "a": "d + 4", "n": "a + 14", "g": "n + 6", "m": 3}, "premises": {"m": 3}, "target": "b"}, "answer": {"steps": [["x", "s + 5", "s + 23"], ["s", "f + 8", "f + 31"], ["f", "w + 2", "w + 33"], ["w", "z + 8", "z + 41"], ["z", "m + 13", "m + 54"], ["m", 3, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"m": 3}, "is_reverse": true}} | 18,147 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = w + 2; s = f + 8; n = a + 14; m = 3; c = m + 9; a = d + 4; x = s + 5; w = z + 8; d = y + 2; b = x + 18; z = m + 13; g = n + 6; y = c + 2. If m = 3, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = s + 5 to b, which gives b = s + 23.\n2. Substitute s = f + 8 to b, which gives b = f + 31.\n3. Substitute f = w + 2 to b, which gives b = w + 33.\n4. Substitute w = z + 8 to b, which gives b = z + 41.\n5. Substitute z = m + 13 to b, which gives b = m + 54.\n6. Substitute m = 3 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 18147,
"question": "Consider a system of variables where each variable is defined as follows: f = w + 2; s = f + 8; n = a + 14; m = 3; c = m + 9; a = d + 4; x = s + 5; w = z + 8; d = y + 2; b = x + 18; z = m + 13; g = n + 6; y = c + 2. If m = 3, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 12", "k": "l + 13", "c": "k + 10", "w": "c + 16", "f": "w + 1", "r": "f + 2", "t": "p + 17", "u": "t + 3", "i": "u + 16", "x": "i + 20", "s": "x + 9", "n": "s + 1", "p": 6}, "premises": {"p": 6}, "target": "r"}, "answer": {"steps": [["f", "w + 1", "w + 3"], ["w", "c + 16", "c + 19"], ["c", "k + 10", "k + 29"], ["k", "l + 13", "l + 42"], ["l", "p + 12", "p + 54"], ["p", 6, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"p": 6}, "is_reverse": true}} | 18,148 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = p + 17; i = u + 16; u = t + 3; c = k + 10; r = f + 2; n = s + 1; x = i + 20; l = p + 12; p = 6; f = w + 1; k = l + 13; w = c + 16; s = x + 9. Given that p = 6, find 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 f = w + 1 to r, which gives r = w + 3.\n2. Substitute w = c + 16 to r, which gives r = c + 19.\n3. Substitute c = k + 10 to r, which gives r = k + 29.\n4. Substitute k = l + 13 to r, which gives r = l + 42.\n5. Substitute l = p + 12 to r, which gives r = p + 54.\n6. Substitute p = 6 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 18148,
"question": "Suppose a collection of variables is related by the following definitions: t = p + 17; i = u + 16; u = t + 3; c = k + 10; r = f + 2; n = s + 1; x = i + 20; l = p + 12; p = 6; f = w + 1; k = l + 13; w = c + 16; s = x + 9. Given that p = 6, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"e": "v + 11", "x": "e + 3", "u": "x + 15", "i": "u + 2", "b": "i + 12", "q": "b + 6", "s": "v + 3", "z": "s + 18", "a": "z + 14", "m": "a + 20", "p": "m + 10", "l": "p + 11", "v": 6}, "premises": {"v": 6}, "target": "q"}, "answer": {"steps": [["b", "i + 12", "i + 18"], ["i", "u + 2", "u + 20"], ["u", "x + 15", "x + 35"], ["x", "e + 3", "e + 38"], ["e", "v + 11", "v + 49"], ["v", 6, "55"]], "target_var_name": "q", "target_value": 55, "value_dict": {"v": 6}, "is_reverse": true}} | 18,149 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = p + 11; b = i + 12; m = a + 20; x = e + 3; q = b + 6; v = 6; i = u + 2; s = v + 3; u = x + 15; e = v + 11; a = z + 14; z = s + 18; p = m + 10. Given that v = 6, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 12 to q, which gives q = i + 18.\n2. Substitute i = u + 2 to q, which gives q = u + 20.\n3. Substitute u = x + 15 to q, which gives q = x + 35.\n4. Substitute x = e + 3 to q, which gives q = e + 38.\n5. Substitute e = v + 11 to q, which gives q = v + 49.\n6. Substitute v = 6 to q, which gives q = 55.\n\nThus, the final answer is q = \\boxed{55}.",
"index": 18149,
"question": "Suppose a collection of variables is related by the following definitions: l = p + 11; b = i + 12; m = a + 20; x = e + 3; q = b + 6; v = 6; i = u + 2; s = v + 3; u = x + 15; e = v + 11; a = z + 14; z = s + 18; p = m + 10. Given that v = 6, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 8", "t": "o + 17", "r": "t + 8", "z": "r + 3", "y": "z + 6", "g": "y + 14", "v": "p + 6", "b": "v + 16", "d": "b + 5", "s": "d + 9", "m": "s + 8", "f": "m + 20", "p": 7}, "premises": {"p": 7}, "target": "g"}, "answer": {"steps": [["y", "z + 6", "z + 20"], ["z", "r + 3", "r + 23"], ["r", "t + 8", "t + 31"], ["t", "o + 17", "o + 48"], ["o", "p + 8", "p + 56"], ["p", 7, "63"]], "target_var_name": "g", "target_value": 63, "value_dict": {"p": 7}, "is_reverse": true}} | 18,150 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = p + 6; t = o + 17; g = y + 14; z = r + 3; p = 7; d = b + 5; f = m + 20; b = v + 16; s = d + 9; y = z + 6; o = p + 8; r = t + 8; m = s + 8. If p = 7, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 6 to g, which gives g = z + 20.\n2. Substitute z = r + 3 to g, which gives g = r + 23.\n3. Substitute r = t + 8 to g, which gives g = t + 31.\n4. Substitute t = o + 17 to g, which gives g = o + 48.\n5. Substitute o = p + 8 to g, which gives g = p + 56.\n6. Substitute p = 7 to g, which gives g = 63.\n\nThus, the final answer is g = \\boxed{63}.",
"index": 18150,
"question": "Consider a system of variables where each variable is defined as follows: v = p + 6; t = o + 17; g = y + 14; z = r + 3; p = 7; d = b + 5; f = m + 20; b = v + 16; s = d + 9; y = z + 6; o = p + 8; r = t + 8; m = s + 8. If p = 7, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 16", "e": "p + 18", "f": "e + 11", "s": "f + 6", "b": "s + 9", "d": "b + 4", "l": "h + 13", "n": "l + 13", "k": "n + 9", "o": "k + 6", "v": "o + 18", "t": "v + 17", "h": 15}, "premises": {"h": 15}, "target": "d"}, "answer": {"steps": [["b", "s + 9", "s + 13"], ["s", "f + 6", "f + 19"], ["f", "e + 11", "e + 30"], ["e", "p + 18", "p + 48"], ["p", "h + 16", "h + 64"], ["h", 15, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"h": 15}, "is_reverse": true}} | 18,151 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = n + 9; o = k + 6; n = l + 13; l = h + 13; t = v + 17; s = f + 6; d = b + 4; b = s + 9; h = 15; v = o + 18; f = e + 11; p = h + 16; e = p + 18. 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 b = s + 9 to d, which gives d = s + 13.\n2. Substitute s = f + 6 to d, which gives d = f + 19.\n3. Substitute f = e + 11 to d, which gives d = e + 30.\n4. Substitute e = p + 18 to d, which gives d = p + 48.\n5. Substitute p = h + 16 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": 18151,
"question": "Consider a system of variables where each variable is defined as follows: k = n + 9; o = k + 6; n = l + 13; l = h + 13; t = v + 17; s = f + 6; d = b + 4; b = s + 9; h = 15; v = o + 18; f = e + 11; p = h + 16; e = p + 18. If h = 15, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 1", "l": "d + 14", "o": "l + 20", "x": "o + 3", "h": "x + 16", "a": "h + 16", "n": "q + 15", "g": "n + 3", "e": "g + 7", "f": "e + 8", "c": "f + 15", "z": "c + 7", "q": 2}, "premises": {"q": 2}, "target": "a"}, "answer": {"steps": [["h", "x + 16", "x + 32"], ["x", "o + 3", "o + 35"], ["o", "l + 20", "l + 55"], ["l", "d + 14", "d + 69"], ["d", "q + 1", "q + 70"], ["q", 2, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"q": 2}, "is_reverse": true}} | 18,152 | 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 = g + 7; l = d + 14; h = x + 16; g = n + 3; z = c + 7; n = q + 15; d = q + 1; x = o + 3; f = e + 8; c = f + 15; q = 2; o = l + 20; a = h + 16. If q = 2, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 16 to a, which gives a = x + 32.\n2. Substitute x = o + 3 to a, which gives a = o + 35.\n3. Substitute o = l + 20 to a, which gives a = l + 55.\n4. Substitute l = d + 14 to a, which gives a = d + 69.\n5. Substitute d = q + 1 to a, which gives a = q + 70.\n6. Substitute q = 2 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 18152,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = g + 7; l = d + 14; h = x + 16; g = n + 3; z = c + 7; n = q + 15; d = q + 1; x = o + 3; f = e + 8; c = f + 15; q = 2; o = l + 20; a = h + 16. If q = 2, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"i": "f + 7", "g": "i + 17", "j": "g + 3", "b": "j + 19", "u": "b + 4", "o": "u + 17", "q": "f + 15", "x": "q + 18", "d": "x + 19", "w": "d + 5", "y": "w + 9", "r": "y + 9", "f": 12}, "premises": {"f": 12}, "target": "o"}, "answer": {"steps": [["u", "b + 4", "b + 21"], ["b", "j + 19", "j + 40"], ["j", "g + 3", "g + 43"], ["g", "i + 17", "i + 60"], ["i", "f + 7", "f + 67"], ["f", 12, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"f": 12}, "is_reverse": true}} | 18,153 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 3; q = f + 15; i = f + 7; b = j + 19; f = 12; w = d + 5; d = x + 19; y = w + 9; o = u + 17; u = b + 4; r = y + 9; x = q + 18; g = i + 17. If f = 12, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 4 to o, which gives o = b + 21.\n2. Substitute b = j + 19 to o, which gives o = j + 40.\n3. Substitute j = g + 3 to o, which gives o = g + 43.\n4. Substitute g = i + 17 to o, which gives o = i + 60.\n5. Substitute i = f + 7 to o, which gives o = f + 67.\n6. Substitute f = 12 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 18153,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 3; q = f + 15; i = f + 7; b = j + 19; f = 12; w = d + 5; d = x + 19; y = w + 9; o = u + 17; u = b + 4; r = y + 9; x = q + 18; g = i + 17. If f = 12, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 15", "e": "v + 3", "y": "e + 11", "j": "y + 11", "b": "j + 19", "o": "b + 14", "g": "x + 17", "q": "g + 16", "t": "q + 10", "a": "t + 8", "l": "a + 7", "h": "l + 3", "x": 9}, "premises": {"x": 9}, "target": "o"}, "answer": {"steps": [["b", "j + 19", "j + 33"], ["j", "y + 11", "y + 44"], ["y", "e + 11", "e + 55"], ["e", "v + 3", "v + 58"], ["v", "x + 15", "x + 73"], ["x", 9, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"x": 9}, "is_reverse": true}} | 18,154 | 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 = t + 8; l = a + 7; g = x + 17; e = v + 3; y = e + 11; b = j + 19; v = x + 15; h = l + 3; t = q + 10; x = 9; q = g + 16; o = b + 14; j = y + 11. If x = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = j + 19 to o, which gives o = j + 33.\n2. Substitute j = y + 11 to o, which gives o = y + 44.\n3. Substitute y = e + 11 to o, which gives o = e + 55.\n4. Substitute e = v + 3 to o, which gives o = v + 58.\n5. Substitute v = x + 15 to o, which gives o = x + 73.\n6. Substitute x = 9 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 18154,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 8; l = a + 7; g = x + 17; e = v + 3; y = e + 11; b = j + 19; v = x + 15; h = l + 3; t = q + 10; x = 9; q = g + 16; o = b + 14; j = y + 11. If x = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"p": "u + 17", "n": "p + 1", "t": "n + 14", "w": "t + 10", "m": "w + 20", "y": "m + 14", "f": "u + 7", "j": "f + 19", "i": "j + 9", "r": "i + 1", "o": "r + 1", "a": "o + 1", "u": 4}, "premises": {"u": 4}, "target": "y"}, "answer": {"steps": [["m", "w + 20", "w + 34"], ["w", "t + 10", "t + 44"], ["t", "n + 14", "n + 58"], ["n", "p + 1", "p + 59"], ["p", "u + 17", "u + 76"], ["u", 4, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"u": 4}, "is_reverse": true}} | 18,155 | 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 = o + 1; f = u + 7; i = j + 9; j = f + 19; w = t + 10; r = i + 1; u = 4; y = m + 14; t = n + 14; p = u + 17; n = p + 1; o = r + 1; m = w + 20. If u = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 20 to y, which gives y = w + 34.\n2. Substitute w = t + 10 to y, which gives y = t + 44.\n3. Substitute t = n + 14 to y, which gives y = n + 58.\n4. Substitute n = p + 1 to y, which gives y = p + 59.\n5. Substitute p = u + 17 to y, which gives y = u + 76.\n6. Substitute u = 4 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 18155,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 1; f = u + 7; i = j + 9; j = f + 19; w = t + 10; r = i + 1; u = 4; y = m + 14; t = n + 14; p = u + 17; n = p + 1; o = r + 1; m = w + 20. If u = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 13", "m": "s + 12", "p": "m + 6", "t": "p + 2", "r": "t + 18", "z": "r + 4", "j": "e + 19", "v": "j + 4", "y": "v + 20", "x": "y + 12", "a": "x + 17", "l": "a + 4", "e": 3}, "premises": {"e": 3}, "target": "z"}, "answer": {"steps": [["r", "t + 18", "t + 22"], ["t", "p + 2", "p + 24"], ["p", "m + 6", "m + 30"], ["m", "s + 12", "s + 42"], ["s", "e + 13", "e + 55"], ["e", 3, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"e": 3}, "is_reverse": true}} | 18,156 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 3; l = a + 4; v = j + 4; a = x + 17; x = y + 12; r = t + 18; t = p + 2; s = e + 13; z = r + 4; p = m + 6; y = v + 20; m = s + 12; j = e + 19. Given that e = 3, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 18 to z, which gives z = t + 22.\n2. Substitute t = p + 2 to z, which gives z = p + 24.\n3. Substitute p = m + 6 to z, which gives z = m + 30.\n4. Substitute m = s + 12 to z, which gives z = s + 42.\n5. Substitute s = e + 13 to z, which gives z = e + 55.\n6. Substitute e = 3 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 18156,
"question": "Suppose a collection of variables is related by the following definitions: e = 3; l = a + 4; v = j + 4; a = x + 17; x = y + 12; r = t + 18; t = p + 2; s = e + 13; z = r + 4; p = m + 6; y = v + 20; m = s + 12; j = e + 19. Given that e = 3, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "v + 6", "r": "u + 9", "m": "r + 4", "z": "m + 13", "g": "z + 6", "o": "g + 1", "b": "v + 19", "j": "b + 12", "x": "j + 5", "s": "x + 11", "a": "s + 11", "n": "a + 17", "v": 17}, "premises": {"v": 17}, "target": "o"}, "answer": {"steps": [["g", "z + 6", "z + 7"], ["z", "m + 13", "m + 20"], ["m", "r + 4", "r + 24"], ["r", "u + 9", "u + 33"], ["u", "v + 6", "v + 39"], ["v", 17, "56"]], "target_var_name": "o", "target_value": 56, "value_dict": {"v": 17}, "is_reverse": true}} | 18,157 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = z + 6; b = v + 19; s = x + 11; o = g + 1; v = 17; m = r + 4; x = j + 5; u = v + 6; j = b + 12; n = a + 17; a = s + 11; r = u + 9; z = m + 13. If v = 17, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = z + 6 to o, which gives o = z + 7.\n2. Substitute z = m + 13 to o, which gives o = m + 20.\n3. Substitute m = r + 4 to o, which gives o = r + 24.\n4. Substitute r = u + 9 to o, which gives o = u + 33.\n5. Substitute u = v + 6 to o, which gives o = v + 39.\n6. Substitute v = 17 to o, which gives o = 56.\n\nThus, the final answer is o = \\boxed{56}.",
"index": 18157,
"question": "Consider a system of variables where each variable is defined as follows: g = z + 6; b = v + 19; s = x + 11; o = g + 1; v = 17; m = r + 4; x = j + 5; u = v + 6; j = b + 12; n = a + 17; a = s + 11; r = u + 9; z = m + 13. If v = 17, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 6", "f": "e + 2", "b": "f + 3", "x": "b + 15", "w": "x + 9", "g": "w + 18", "r": "p + 13", "d": "r + 19", "l": "d + 11", "j": "l + 20", "u": "j + 20", "n": "u + 3", "p": 5}, "premises": {"p": 5}, "target": "g"}, "answer": {"steps": [["w", "x + 9", "x + 27"], ["x", "b + 15", "b + 42"], ["b", "f + 3", "f + 45"], ["f", "e + 2", "e + 47"], ["e", "p + 6", "p + 53"], ["p", 5, "58"]], "target_var_name": "g", "target_value": 58, "value_dict": {"p": 5}, "is_reverse": true}} | 18,158 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = d + 11; n = u + 3; d = r + 19; e = p + 6; u = j + 20; w = x + 9; j = l + 20; b = f + 3; p = 5; g = w + 18; x = b + 15; r = p + 13; f = e + 2. If p = 5, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = x + 9 to g, which gives g = x + 27.\n2. Substitute x = b + 15 to g, which gives g = b + 42.\n3. Substitute b = f + 3 to g, which gives g = f + 45.\n4. Substitute f = e + 2 to g, which gives g = e + 47.\n5. Substitute e = p + 6 to g, which gives g = p + 53.\n6. Substitute p = 5 to g, which gives g = 58.\n\nThus, the final answer is g = \\boxed{58}.",
"index": 18158,
"question": "Consider a system of variables where each variable is defined as follows: l = d + 11; n = u + 3; d = r + 19; e = p + 6; u = j + 20; w = x + 9; j = l + 20; b = f + 3; p = 5; g = w + 18; x = b + 15; r = p + 13; f = e + 2. If p = 5, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "s + 18", "a": "y + 20", "w": "a + 12", "g": "w + 6", "j": "g + 17", "b": "j + 7", "d": "s + 11", "o": "d + 10", "c": "o + 8", "r": "c + 16", "q": "r + 6", "h": "q + 15", "s": 13}, "premises": {"s": 13}, "target": "b"}, "answer": {"steps": [["j", "g + 17", "g + 24"], ["g", "w + 6", "w + 30"], ["w", "a + 12", "a + 42"], ["a", "y + 20", "y + 62"], ["y", "s + 18", "s + 80"], ["s", 13, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"s": 13}, "is_reverse": true}} | 18,159 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = o + 8; d = s + 11; g = w + 6; j = g + 17; s = 13; q = r + 6; y = s + 18; a = y + 20; w = a + 12; o = d + 10; h = q + 15; b = j + 7; r = c + 16. If s = 13, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = g + 17 to b, which gives b = g + 24.\n2. Substitute g = w + 6 to b, which gives b = w + 30.\n3. Substitute w = a + 12 to b, which gives b = a + 42.\n4. Substitute a = y + 20 to b, which gives b = y + 62.\n5. Substitute y = s + 18 to b, which gives b = s + 80.\n6. Substitute s = 13 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 18159,
"question": "Consider a system of variables where each variable is defined as follows: c = o + 8; d = s + 11; g = w + 6; j = g + 17; s = 13; q = r + 6; y = s + 18; a = y + 20; w = a + 12; o = d + 10; h = q + 15; b = j + 7; r = c + 16. If s = 13, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 13", "a": "s + 6", "h": "a + 15", "i": "h + 20", "n": "i + 4", "j": "n + 13", "d": "c + 12", "q": "d + 14", "p": "q + 5", "e": "p + 20", "u": "e + 16", "v": "u + 9", "c": 5}, "premises": {"c": 5}, "target": "j"}, "answer": {"steps": [["n", "i + 4", "i + 17"], ["i", "h + 20", "h + 37"], ["h", "a + 15", "a + 52"], ["a", "s + 6", "s + 58"], ["s", "c + 13", "c + 71"], ["c", 5, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"c": 5}, "is_reverse": true}} | 18,160 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = e + 16; a = s + 6; j = n + 13; p = q + 5; e = p + 20; h = a + 15; n = i + 4; s = c + 13; q = d + 14; d = c + 12; c = 5; i = h + 20; v = u + 9. If c = 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 n = i + 4 to j, which gives j = i + 17.\n2. Substitute i = h + 20 to j, which gives j = h + 37.\n3. Substitute h = a + 15 to j, which gives j = a + 52.\n4. Substitute a = s + 6 to j, which gives j = s + 58.\n5. Substitute s = c + 13 to j, which gives j = c + 71.\n6. Substitute c = 5 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 18160,
"question": "Consider a system of variables where each variable is defined as follows: u = e + 16; a = s + 6; j = n + 13; p = q + 5; e = p + 20; h = a + 15; n = i + 4; s = c + 13; q = d + 14; d = c + 12; c = 5; i = h + 20; v = u + 9. If c = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 11", "g": "l + 19", "v": "g + 20", "t": "v + 18", "h": "t + 5", "o": "h + 9", "p": "j + 9", "n": "p + 8", "x": "n + 6", "i": "x + 16", "b": "i + 10", "z": "b + 16", "j": 20}, "premises": {"j": 20}, "target": "o"}, "answer": {"steps": [["h", "t + 5", "t + 14"], ["t", "v + 18", "v + 32"], ["v", "g + 20", "g + 52"], ["g", "l + 19", "l + 71"], ["l", "j + 11", "j + 82"], ["j", 20, "102"]], "target_var_name": "o", "target_value": 102, "value_dict": {"j": 20}, "is_reverse": true}} | 18,161 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = x + 16; j = 20; t = v + 18; b = i + 10; g = l + 19; n = p + 8; h = t + 5; p = j + 9; v = g + 20; z = b + 16; o = h + 9; l = j + 11; x = n + 6. If j = 20, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = t + 5 to o, which gives o = t + 14.\n2. Substitute t = v + 18 to o, which gives o = v + 32.\n3. Substitute v = g + 20 to o, which gives o = g + 52.\n4. Substitute g = l + 19 to o, which gives o = l + 71.\n5. Substitute l = j + 11 to o, which gives o = j + 82.\n6. Substitute j = 20 to o, which gives o = 102.\n\nThus, the final answer is o = \\boxed{102}.",
"index": 18161,
"question": "Consider a system of variables where each variable is defined as follows: i = x + 16; j = 20; t = v + 18; b = i + 10; g = l + 19; n = p + 8; h = t + 5; p = j + 9; v = g + 20; z = b + 16; o = h + 9; l = j + 11; x = n + 6. If j = 20, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 9", "u": "b + 12", "f": "u + 4", "z": "f + 17", "k": "z + 6", "p": "k + 9", "o": "n + 6", "x": "o + 8", "d": "x + 20", "t": "d + 4", "e": "t + 15", "q": "e + 13", "n": 6}, "premises": {"n": 6}, "target": "p"}, "answer": {"steps": [["k", "z + 6", "z + 15"], ["z", "f + 17", "f + 32"], ["f", "u + 4", "u + 36"], ["u", "b + 12", "b + 48"], ["b", "n + 9", "n + 57"], ["n", 6, "63"]], "target_var_name": "p", "target_value": 63, "value_dict": {"n": 6}, "is_reverse": true}} | 18,162 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = n + 9; p = k + 9; z = f + 17; n = 6; d = x + 20; t = d + 4; x = o + 8; u = b + 12; q = e + 13; f = u + 4; k = z + 6; o = n + 6; e = t + 15. If n = 6, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 6 to p, which gives p = z + 15.\n2. Substitute z = f + 17 to p, which gives p = f + 32.\n3. Substitute f = u + 4 to p, which gives p = u + 36.\n4. Substitute u = b + 12 to p, which gives p = b + 48.\n5. Substitute b = n + 9 to p, which gives p = n + 57.\n6. Substitute n = 6 to p, which gives p = 63.\n\nThus, the final answer is p = \\boxed{63}.",
"index": 18162,
"question": "Consider a system of variables where each variable is defined as follows: b = n + 9; p = k + 9; z = f + 17; n = 6; d = x + 20; t = d + 4; x = o + 8; u = b + 12; q = e + 13; f = u + 4; k = z + 6; o = n + 6; e = t + 15. If n = 6, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 14", "s": "p + 1", "b": "s + 12", "x": "b + 14", "m": "x + 7", "o": "m + 6", "g": "c + 2", "w": "g + 8", "v": "w + 19", "r": "v + 17", "f": "r + 3", "z": "f + 5", "c": 3}, "premises": {"c": 3}, "target": "o"}, "answer": {"steps": [["m", "x + 7", "x + 13"], ["x", "b + 14", "b + 27"], ["b", "s + 12", "s + 39"], ["s", "p + 1", "p + 40"], ["p", "c + 14", "c + 54"], ["c", 3, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"c": 3}, "is_reverse": true}} | 18,163 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = c + 14; g = c + 2; s = p + 1; w = g + 8; v = w + 19; b = s + 12; o = m + 6; c = 3; z = f + 5; f = r + 3; m = x + 7; x = b + 14; r = v + 17. Given that c = 3, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = x + 7 to o, which gives o = x + 13.\n2. Substitute x = b + 14 to o, which gives o = b + 27.\n3. Substitute b = s + 12 to o, which gives o = s + 39.\n4. Substitute s = p + 1 to o, which gives o = p + 40.\n5. Substitute p = c + 14 to o, which gives o = c + 54.\n6. Substitute c = 3 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 18163,
"question": "Suppose a collection of variables is related by the following definitions: p = c + 14; g = c + 2; s = p + 1; w = g + 8; v = w + 19; b = s + 12; o = m + 6; c = 3; z = f + 5; f = r + 3; m = x + 7; x = b + 14; r = v + 17. Given that c = 3, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"f": "o + 16", "g": "f + 9", "k": "g + 2", "n": "k + 2", "h": "n + 15", "i": "h + 18", "l": "o + 10", "j": "l + 5", "a": "j + 16", "u": "a + 20", "w": "u + 10", "s": "w + 15", "o": 3}, "premises": {"o": 3}, "target": "i"}, "answer": {"steps": [["h", "n + 15", "n + 33"], ["n", "k + 2", "k + 35"], ["k", "g + 2", "g + 37"], ["g", "f + 9", "f + 46"], ["f", "o + 16", "o + 62"], ["o", 3, "65"]], "target_var_name": "i", "target_value": 65, "value_dict": {"o": 3}, "is_reverse": true}} | 18,164 | 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 = g + 2; l = o + 10; w = u + 10; u = a + 20; g = f + 9; n = k + 2; j = l + 5; h = n + 15; a = j + 16; i = h + 18; f = o + 16; s = w + 15; o = 3. If o = 3, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 15 to i, which gives i = n + 33.\n2. Substitute n = k + 2 to i, which gives i = k + 35.\n3. Substitute k = g + 2 to i, which gives i = g + 37.\n4. Substitute g = f + 9 to i, which gives i = f + 46.\n5. Substitute f = o + 16 to i, which gives i = o + 62.\n6. Substitute o = 3 to i, which gives i = 65.\n\nThus, the final answer is i = \\boxed{65}.",
"index": 18164,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = g + 2; l = o + 10; w = u + 10; u = a + 20; g = f + 9; n = k + 2; j = l + 5; h = n + 15; a = j + 16; i = h + 18; f = o + 16; s = w + 15; o = 3. If o = 3, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 3", "o": "q + 7", "s": "o + 11", "i": "s + 12", "b": "i + 6", "n": "b + 12", "d": "h + 7", "e": "d + 18", "w": "e + 20", "p": "w + 14", "k": "p + 1", "l": "k + 7", "h": 15}, "premises": {"h": 15}, "target": "n"}, "answer": {"steps": [["b", "i + 6", "i + 18"], ["i", "s + 12", "s + 30"], ["s", "o + 11", "o + 41"], ["o", "q + 7", "q + 48"], ["q", "h + 3", "h + 51"], ["h", 15, "66"]], "target_var_name": "n", "target_value": 66, "value_dict": {"h": 15}, "is_reverse": true}} | 18,165 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 14; i = s + 12; s = o + 11; e = d + 18; w = e + 20; o = q + 7; n = b + 12; d = h + 7; q = h + 3; k = p + 1; h = 15; b = i + 6; l = k + 7. If h = 15, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 6 to n, which gives n = i + 18.\n2. Substitute i = s + 12 to n, which gives n = s + 30.\n3. Substitute s = o + 11 to n, which gives n = o + 41.\n4. Substitute o = q + 7 to n, which gives n = q + 48.\n5. Substitute q = h + 3 to n, which gives n = h + 51.\n6. Substitute h = 15 to n, which gives n = 66.\n\nThus, the final answer is n = \\boxed{66}.",
"index": 18165,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = w + 14; i = s + 12; s = o + 11; e = d + 18; w = e + 20; o = q + 7; n = b + 12; d = h + 7; q = h + 3; k = p + 1; h = 15; b = i + 6; l = k + 7. If h = 15, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 15", "i": "d + 1", "g": "i + 2", "l": "g + 16", "y": "l + 10", "m": "y + 15", "f": "w + 12", "e": "f + 19", "t": "e + 9", "h": "t + 20", "n": "h + 1", "z": "n + 2", "w": 9}, "premises": {"w": 9}, "target": "m"}, "answer": {"steps": [["y", "l + 10", "l + 25"], ["l", "g + 16", "g + 41"], ["g", "i + 2", "i + 43"], ["i", "d + 1", "d + 44"], ["d", "w + 15", "w + 59"], ["w", 9, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"w": 9}, "is_reverse": true}} | 18,166 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = e + 9; n = h + 1; z = n + 2; y = l + 10; h = t + 20; m = y + 15; e = f + 19; f = w + 12; d = w + 15; l = g + 16; g = i + 2; i = d + 1; w = 9. If w = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 10 to m, which gives m = l + 25.\n2. Substitute l = g + 16 to m, which gives m = g + 41.\n3. Substitute g = i + 2 to m, which gives m = i + 43.\n4. Substitute i = d + 1 to m, which gives m = d + 44.\n5. Substitute d = w + 15 to m, which gives m = w + 59.\n6. Substitute w = 9 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 18166,
"question": "Consider a system of variables where each variable is defined as follows: t = e + 9; n = h + 1; z = n + 2; y = l + 10; h = t + 20; m = y + 15; e = f + 19; f = w + 12; d = w + 15; l = g + 16; g = i + 2; i = d + 1; w = 9. If w = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"j": "g + 13", "y": "j + 3", "q": "y + 18", "f": "q + 17", "m": "f + 1", "a": "m + 12", "u": "g + 9", "c": "u + 14", "z": "c + 4", "k": "z + 1", "x": "k + 5", "s": "x + 2", "g": 16}, "premises": {"g": 16}, "target": "a"}, "answer": {"steps": [["m", "f + 1", "f + 13"], ["f", "q + 17", "q + 30"], ["q", "y + 18", "y + 48"], ["y", "j + 3", "j + 51"], ["j", "g + 13", "g + 64"], ["g", 16, "80"]], "target_var_name": "a", "target_value": 80, "value_dict": {"g": 16}, "is_reverse": true}} | 18,167 | 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 = q + 17; y = j + 3; k = z + 1; u = g + 9; m = f + 1; a = m + 12; q = y + 18; x = k + 5; j = g + 13; s = x + 2; g = 16; z = c + 4; c = u + 14. If g = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = f + 1 to a, which gives a = f + 13.\n2. Substitute f = q + 17 to a, which gives a = q + 30.\n3. Substitute q = y + 18 to a, which gives a = y + 48.\n4. Substitute y = j + 3 to a, which gives a = j + 51.\n5. Substitute j = g + 13 to a, which gives a = g + 64.\n6. Substitute g = 16 to a, which gives a = 80.\n\nThus, the final answer is a = \\boxed{80}.",
"index": 18167,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = q + 17; y = j + 3; k = z + 1; u = g + 9; m = f + 1; a = m + 12; q = y + 18; x = k + 5; j = g + 13; s = x + 2; g = 16; z = c + 4; c = u + 14. If g = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 1", "j": "e + 3", "w": "j + 7", "x": "w + 18", "l": "x + 14", "y": "l + 19", "g": "a + 4", "k": "g + 3", "q": "k + 11", "t": "q + 2", "u": "t + 10", "d": "u + 17", "a": 9}, "premises": {"a": 9}, "target": "y"}, "answer": {"steps": [["l", "x + 14", "x + 33"], ["x", "w + 18", "w + 51"], ["w", "j + 7", "j + 58"], ["j", "e + 3", "e + 61"], ["e", "a + 1", "a + 62"], ["a", 9, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"a": 9}, "is_reverse": true}} | 18,168 | 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 = x + 14; a = 9; y = l + 19; q = k + 11; w = j + 7; u = t + 10; t = q + 2; e = a + 1; g = a + 4; k = g + 3; x = w + 18; j = e + 3; d = u + 17. If a = 9, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 14 to y, which gives y = x + 33.\n2. Substitute x = w + 18 to y, which gives y = w + 51.\n3. Substitute w = j + 7 to y, which gives y = j + 58.\n4. Substitute j = e + 3 to y, which gives y = e + 61.\n5. Substitute e = a + 1 to y, which gives y = a + 62.\n6. Substitute a = 9 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 18168,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = x + 14; a = 9; y = l + 19; q = k + 11; w = j + 7; u = t + 10; t = q + 2; e = a + 1; g = a + 4; k = g + 3; x = w + 18; j = e + 3; d = u + 17. If a = 9, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 6", "q": "a + 5", "v": "q + 7", "u": "v + 5", "r": "u + 6", "h": "r + 9", "i": "p + 7", "x": "i + 17", "s": "x + 17", "o": "s + 11", "z": "o + 16", "t": "z + 9", "p": 8}, "premises": {"p": 8}, "target": "h"}, "answer": {"steps": [["r", "u + 6", "u + 15"], ["u", "v + 5", "v + 20"], ["v", "q + 7", "q + 27"], ["q", "a + 5", "a + 32"], ["a", "p + 6", "p + 38"], ["p", 8, "46"]], "target_var_name": "h", "target_value": 46, "value_dict": {"p": 8}, "is_reverse": true}} | 18,169 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 17; v = q + 7; x = i + 17; z = o + 16; u = v + 5; t = z + 9; h = r + 9; a = p + 6; r = u + 6; o = s + 11; q = a + 5; p = 8; i = p + 7. If p = 8, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = u + 6 to h, which gives h = u + 15.\n2. Substitute u = v + 5 to h, which gives h = v + 20.\n3. Substitute v = q + 7 to h, which gives h = q + 27.\n4. Substitute q = a + 5 to h, which gives h = a + 32.\n5. Substitute a = p + 6 to h, which gives h = p + 38.\n6. Substitute p = 8 to h, which gives h = 46.\n\nThus, the final answer is h = \\boxed{46}.",
"index": 18169,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 17; v = q + 7; x = i + 17; z = o + 16; u = v + 5; t = z + 9; h = r + 9; a = p + 6; r = u + 6; o = s + 11; q = a + 5; p = 8; i = p + 7. If p = 8, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 10", "p": "o + 19", "g": "p + 13", "u": "g + 4", "f": "u + 5", "n": "f + 17", "a": "c + 16", "k": "a + 14", "m": "k + 15", "z": "m + 12", "j": "z + 11", "t": "j + 4", "c": 10}, "premises": {"c": 10}, "target": "n"}, "answer": {"steps": [["f", "u + 5", "u + 22"], ["u", "g + 4", "g + 26"], ["g", "p + 13", "p + 39"], ["p", "o + 19", "o + 58"], ["o", "c + 10", "c + 68"], ["c", 10, "78"]], "target_var_name": "n", "target_value": 78, "value_dict": {"c": 10}, "is_reverse": true}} | 18,170 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 15; z = m + 12; n = f + 17; p = o + 19; j = z + 11; o = c + 10; u = g + 4; g = p + 13; k = a + 14; t = j + 4; c = 10; f = u + 5; a = c + 16. If c = 10, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 5 to n, which gives n = u + 22.\n2. Substitute u = g + 4 to n, which gives n = g + 26.\n3. Substitute g = p + 13 to n, which gives n = p + 39.\n4. Substitute p = o + 19 to n, which gives n = o + 58.\n5. Substitute o = c + 10 to n, which gives n = c + 68.\n6. Substitute c = 10 to n, which gives n = 78.\n\nThus, the final answer is n = \\boxed{78}.",
"index": 18170,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 15; z = m + 12; n = f + 17; p = o + 19; j = z + 11; o = c + 10; u = g + 4; g = p + 13; k = a + 14; t = j + 4; c = 10; f = u + 5; a = c + 16. If c = 10, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 7", "b": "e + 17", "r": "b + 10", "i": "r + 5", "t": "i + 19", "k": "t + 14", "c": "z + 14", "u": "c + 19", "m": "u + 12", "n": "m + 8", "s": "n + 6", "w": "s + 6", "z": 8}, "premises": {"z": 8}, "target": "k"}, "answer": {"steps": [["t", "i + 19", "i + 33"], ["i", "r + 5", "r + 38"], ["r", "b + 10", "b + 48"], ["b", "e + 17", "e + 65"], ["e", "z + 7", "z + 72"], ["z", 8, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"z": 8}, "is_reverse": true}} | 18,171 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 5; m = u + 12; t = i + 19; r = b + 10; e = z + 7; c = z + 14; z = 8; u = c + 19; k = t + 14; s = n + 6; w = s + 6; b = e + 17; n = m + 8. If z = 8, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 19 to k, which gives k = i + 33.\n2. Substitute i = r + 5 to k, which gives k = r + 38.\n3. Substitute r = b + 10 to k, which gives k = b + 48.\n4. Substitute b = e + 17 to k, which gives k = e + 65.\n5. Substitute e = z + 7 to k, which gives k = z + 72.\n6. Substitute z = 8 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 18171,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 5; m = u + 12; t = i + 19; r = b + 10; e = z + 7; c = z + 14; z = 8; u = c + 19; k = t + 14; s = n + 6; w = s + 6; b = e + 17; n = m + 8. If z = 8, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 1", "n": "f + 4", "w": "n + 17", "k": "w + 4", "g": "k + 12", "t": "g + 13", "s": "x + 15", "u": "s + 10", "i": "u + 12", "o": "i + 7", "r": "o + 13", "z": "r + 18", "x": 18}, "premises": {"x": 18}, "target": "t"}, "answer": {"steps": [["g", "k + 12", "k + 25"], ["k", "w + 4", "w + 29"], ["w", "n + 17", "n + 46"], ["n", "f + 4", "f + 50"], ["f", "x + 1", "x + 51"], ["x", 18, "69"]], "target_var_name": "t", "target_value": 69, "value_dict": {"x": 18}, "is_reverse": true}} | 18,172 | 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 + 12; k = w + 4; r = o + 13; u = s + 10; t = g + 13; i = u + 12; o = i + 7; s = x + 15; w = n + 17; n = f + 4; f = x + 1; z = r + 18; x = 18. If x = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = k + 12 to t, which gives t = k + 25.\n2. Substitute k = w + 4 to t, which gives t = w + 29.\n3. Substitute w = n + 17 to t, which gives t = n + 46.\n4. Substitute n = f + 4 to t, which gives t = f + 50.\n5. Substitute f = x + 1 to t, which gives t = x + 51.\n6. Substitute x = 18 to t, which gives t = 69.\n\nThus, the final answer is t = \\boxed{69}.",
"index": 18172,
"question": "Consider a system of variables where each variable is defined as follows: g = k + 12; k = w + 4; r = o + 13; u = s + 10; t = g + 13; i = u + 12; o = i + 7; s = x + 15; w = n + 17; n = f + 4; f = x + 1; z = r + 18; x = 18. If x = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 6", "d": "o + 10", "i": "d + 18", "g": "i + 3", "q": "g + 19", "p": "q + 6", "m": "y + 6", "a": "m + 8", "e": "a + 1", "w": "e + 4", "t": "w + 18", "s": "t + 13", "y": 17}, "premises": {"y": 17}, "target": "p"}, "answer": {"steps": [["q", "g + 19", "g + 25"], ["g", "i + 3", "i + 28"], ["i", "d + 18", "d + 46"], ["d", "o + 10", "o + 56"], ["o", "y + 6", "y + 62"], ["y", 17, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"y": 17}, "is_reverse": true}} | 18,173 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = q + 6; g = i + 3; w = e + 4; d = o + 10; y = 17; m = y + 6; e = a + 1; a = m + 8; o = y + 6; s = t + 13; i = d + 18; q = g + 19; t = w + 18. Given that y = 17, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = g + 19 to p, which gives p = g + 25.\n2. Substitute g = i + 3 to p, which gives p = i + 28.\n3. Substitute i = d + 18 to p, which gives p = d + 46.\n4. Substitute d = o + 10 to p, which gives p = o + 56.\n5. Substitute o = y + 6 to p, which gives p = y + 62.\n6. Substitute y = 17 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 18173,
"question": "Suppose a collection of variables is related by the following definitions: p = q + 6; g = i + 3; w = e + 4; d = o + 10; y = 17; m = y + 6; e = a + 1; a = m + 8; o = y + 6; s = t + 13; i = d + 18; q = g + 19; t = w + 18. Given that y = 17, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"l": "n + 17", "x": "l + 11", "a": "x + 6", "e": "a + 10", "q": "e + 3", "v": "q + 1", "u": "n + 16", "o": "u + 16", "y": "o + 2", "g": "y + 17", "b": "g + 6", "s": "b + 18", "n": 11}, "premises": {"n": 11}, "target": "v"}, "answer": {"steps": [["q", "e + 3", "e + 4"], ["e", "a + 10", "a + 14"], ["a", "x + 6", "x + 20"], ["x", "l + 11", "l + 31"], ["l", "n + 17", "n + 48"], ["n", 11, "59"]], "target_var_name": "v", "target_value": 59, "value_dict": {"n": 11}, "is_reverse": true}} | 18,174 | 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 = a + 10; l = n + 17; n = 11; a = x + 6; v = q + 1; s = b + 18; x = l + 11; u = n + 16; y = o + 2; q = e + 3; o = u + 16; b = g + 6; g = y + 17. If n = 11, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = e + 3 to v, which gives v = e + 4.\n2. Substitute e = a + 10 to v, which gives v = a + 14.\n3. Substitute a = x + 6 to v, which gives v = x + 20.\n4. Substitute x = l + 11 to v, which gives v = l + 31.\n5. Substitute l = n + 17 to v, which gives v = n + 48.\n6. Substitute n = 11 to v, which gives v = 59.\n\nThus, the final answer is v = \\boxed{59}.",
"index": 18174,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = a + 10; l = n + 17; n = 11; a = x + 6; v = q + 1; s = b + 18; x = l + 11; u = n + 16; y = o + 2; q = e + 3; o = u + 16; b = g + 6; g = y + 17. If n = 11, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 8", "d": "c + 8", "a": "d + 1", "k": "a + 1", "u": "k + 18", "m": "u + 18", "i": "x + 9", "h": "i + 1", "e": "h + 5", "f": "e + 5", "p": "f + 18", "q": "p + 2", "x": 12}, "premises": {"x": 12}, "target": "m"}, "answer": {"steps": [["u", "k + 18", "k + 36"], ["k", "a + 1", "a + 37"], ["a", "d + 1", "d + 38"], ["d", "c + 8", "c + 46"], ["c", "x + 8", "x + 54"], ["x", 12, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"x": 12}, "is_reverse": true}} | 18,175 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 18; a = d + 1; p = f + 18; k = a + 1; f = e + 5; d = c + 8; i = x + 9; u = k + 18; q = p + 2; c = x + 8; h = i + 1; x = 12; e = h + 5. If x = 12, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 18 to m, which gives m = k + 36.\n2. Substitute k = a + 1 to m, which gives m = a + 37.\n3. Substitute a = d + 1 to m, which gives m = d + 38.\n4. Substitute d = c + 8 to m, which gives m = c + 46.\n5. Substitute c = x + 8 to m, which gives m = x + 54.\n6. Substitute x = 12 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 18175,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = u + 18; a = d + 1; p = f + 18; k = a + 1; f = e + 5; d = c + 8; i = x + 9; u = k + 18; q = p + 2; c = x + 8; h = i + 1; x = 12; e = h + 5. If x = 12, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 12", "e": "i + 2", "b": "e + 13", "q": "b + 11", "p": "q + 5", "t": "p + 5", "h": "z + 18", "f": "h + 6", "u": "f + 18", "v": "u + 6", "o": "v + 19", "j": "o + 3", "z": 17}, "premises": {"z": 17}, "target": "t"}, "answer": {"steps": [["p", "q + 5", "q + 10"], ["q", "b + 11", "b + 21"], ["b", "e + 13", "e + 34"], ["e", "i + 2", "i + 36"], ["i", "z + 12", "z + 48"], ["z", 17, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"z": 17}, "is_reverse": true}} | 18,176 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = q + 5; h = z + 18; u = f + 18; e = i + 2; i = z + 12; v = u + 6; q = b + 11; f = h + 6; o = v + 19; b = e + 13; t = p + 5; j = o + 3; z = 17. If z = 17, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = q + 5 to t, which gives t = q + 10.\n2. Substitute q = b + 11 to t, which gives t = b + 21.\n3. Substitute b = e + 13 to t, which gives t = e + 34.\n4. Substitute e = i + 2 to t, which gives t = i + 36.\n5. Substitute i = z + 12 to t, which gives t = z + 48.\n6. Substitute z = 17 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 18176,
"question": "Consider a system of variables where each variable is defined as follows: p = q + 5; h = z + 18; u = f + 18; e = i + 2; i = z + 12; v = u + 6; q = b + 11; f = h + 6; o = v + 19; b = e + 13; t = p + 5; j = o + 3; z = 17. If z = 17, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 18", "j": "g + 17", "q": "j + 9", "d": "q + 12", "k": "d + 19", "o": "k + 18", "v": "i + 1", "p": "v + 4", "w": "p + 2", "r": "w + 11", "u": "r + 15", "z": "u + 5", "i": 2}, "premises": {"i": 2}, "target": "o"}, "answer": {"steps": [["k", "d + 19", "d + 37"], ["d", "q + 12", "q + 49"], ["q", "j + 9", "j + 58"], ["j", "g + 17", "g + 75"], ["g", "i + 18", "i + 93"], ["i", 2, "95"]], "target_var_name": "o", "target_value": 95, "value_dict": {"i": 2}, "is_reverse": true}} | 18,177 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 4; d = q + 12; z = u + 5; i = 2; w = p + 2; j = g + 17; q = j + 9; o = k + 18; g = i + 18; r = w + 11; k = d + 19; v = i + 1; u = r + 15. Given that i = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = d + 19 to o, which gives o = d + 37.\n2. Substitute d = q + 12 to o, which gives o = q + 49.\n3. Substitute q = j + 9 to o, which gives o = j + 58.\n4. Substitute j = g + 17 to o, which gives o = g + 75.\n5. Substitute g = i + 18 to o, which gives o = i + 93.\n6. Substitute i = 2 to o, which gives o = 95.\n\nThus, the final answer is o = \\boxed{95}.",
"index": 18177,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 4; d = q + 12; z = u + 5; i = 2; w = p + 2; j = g + 17; q = j + 9; o = k + 18; g = i + 18; r = w + 11; k = d + 19; v = i + 1; u = r + 15. Given that i = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"k": "s + 11", "u": "k + 11", "y": "u + 15", "r": "y + 17", "e": "r + 6", "w": "e + 20", "m": "s + 10", "z": "m + 5", "t": "z + 15", "q": "t + 11", "b": "q + 12", "c": "b + 1", "s": 20}, "premises": {"s": 20}, "target": "w"}, "answer": {"steps": [["e", "r + 6", "r + 26"], ["r", "y + 17", "y + 43"], ["y", "u + 15", "u + 58"], ["u", "k + 11", "k + 69"], ["k", "s + 11", "s + 80"], ["s", 20, "100"]], "target_var_name": "w", "target_value": 100, "value_dict": {"s": 20}, "is_reverse": true}} | 18,178 | 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 + 1; s = 20; w = e + 20; t = z + 15; r = y + 17; q = t + 11; e = r + 6; b = q + 12; k = s + 11; u = k + 11; z = m + 5; y = u + 15; m = s + 10. If s = 20, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = r + 6 to w, which gives w = r + 26.\n2. Substitute r = y + 17 to w, which gives w = y + 43.\n3. Substitute y = u + 15 to w, which gives w = u + 58.\n4. Substitute u = k + 11 to w, which gives w = k + 69.\n5. Substitute k = s + 11 to w, which gives w = s + 80.\n6. Substitute s = 20 to w, which gives w = 100.\n\nThus, the final answer is w = \\boxed{100}.",
"index": 18178,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 1; s = 20; w = e + 20; t = z + 15; r = y + 17; q = t + 11; e = r + 6; b = q + 12; k = s + 11; u = k + 11; z = m + 5; y = u + 15; m = s + 10. If s = 20, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 4", "e": "j + 12", "g": "e + 8", "p": "g + 11", "y": "p + 14", "l": "y + 13", "f": "n + 15", "q": "f + 11", "z": "q + 9", "k": "z + 19", "x": "k + 14", "r": "x + 2", "n": 14}, "premises": {"n": 14}, "target": "l"}, "answer": {"steps": [["y", "p + 14", "p + 27"], ["p", "g + 11", "g + 38"], ["g", "e + 8", "e + 46"], ["e", "j + 12", "j + 58"], ["j", "n + 4", "n + 62"], ["n", 14, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"n": 14}, "is_reverse": true}} | 18,179 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = n + 4; e = j + 12; k = z + 19; n = 14; r = x + 2; f = n + 15; y = p + 14; x = k + 14; p = g + 11; l = y + 13; z = q + 9; q = f + 11; g = e + 8. If n = 14, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 14 to l, which gives l = p + 27.\n2. Substitute p = g + 11 to l, which gives l = g + 38.\n3. Substitute g = e + 8 to l, which gives l = e + 46.\n4. Substitute e = j + 12 to l, which gives l = j + 58.\n5. Substitute j = n + 4 to l, which gives l = n + 62.\n6. Substitute n = 14 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 18179,
"question": "Consider a system of variables where each variable is defined as follows: j = n + 4; e = j + 12; k = z + 19; n = 14; r = x + 2; f = n + 15; y = p + 14; x = k + 14; p = g + 11; l = y + 13; z = q + 9; q = f + 11; g = e + 8. If n = 14, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 12", "i": "k + 10", "t": "i + 4", "x": "t + 18", "p": "x + 14", "e": "p + 19", "d": "y + 11", "h": "d + 2", "o": "h + 6", "c": "o + 17", "v": "c + 7", "q": "v + 12", "y": 10}, "premises": {"y": 10}, "target": "e"}, "answer": {"steps": [["p", "x + 14", "x + 33"], ["x", "t + 18", "t + 51"], ["t", "i + 4", "i + 55"], ["i", "k + 10", "k + 65"], ["k", "y + 12", "y + 77"], ["y", 10, "87"]], "target_var_name": "e", "target_value": 87, "value_dict": {"y": 10}, "is_reverse": true}} | 18,180 | 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 + 19; h = d + 2; t = i + 4; d = y + 11; y = 10; k = y + 12; c = o + 17; p = x + 14; q = v + 12; i = k + 10; o = h + 6; v = c + 7; x = t + 18. If y = 10, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 14 to e, which gives e = x + 33.\n2. Substitute x = t + 18 to e, which gives e = t + 51.\n3. Substitute t = i + 4 to e, which gives e = i + 55.\n4. Substitute i = k + 10 to e, which gives e = k + 65.\n5. Substitute k = y + 12 to e, which gives e = y + 77.\n6. Substitute y = 10 to e, which gives e = 87.\n\nThus, the final answer is e = \\boxed{87}.",
"index": 18180,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 19; h = d + 2; t = i + 4; d = y + 11; y = 10; k = y + 12; c = o + 17; p = x + 14; q = v + 12; i = k + 10; o = h + 6; v = c + 7; x = t + 18. If y = 10, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 5", "j": "n + 4", "s": "j + 8", "q": "s + 18", "b": "q + 8", "e": "b + 11", "u": "o + 8", "z": "u + 15", "w": "z + 19", "r": "w + 5", "y": "r + 16", "t": "y + 4", "o": 4}, "premises": {"o": 4}, "target": "e"}, "answer": {"steps": [["b", "q + 8", "q + 19"], ["q", "s + 18", "s + 37"], ["s", "j + 8", "j + 45"], ["j", "n + 4", "n + 49"], ["n", "o + 5", "o + 54"], ["o", 4, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"o": 4}, "is_reverse": true}} | 18,181 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 8; z = u + 15; j = n + 4; y = r + 16; t = y + 4; e = b + 11; o = 4; s = j + 8; r = w + 5; n = o + 5; b = q + 8; q = s + 18; w = z + 19. If o = 4, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = q + 8 to e, which gives e = q + 19.\n2. Substitute q = s + 18 to e, which gives e = s + 37.\n3. Substitute s = j + 8 to e, which gives e = j + 45.\n4. Substitute j = n + 4 to e, which gives e = n + 49.\n5. Substitute n = o + 5 to e, which gives e = o + 54.\n6. Substitute o = 4 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 18181,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = o + 8; z = u + 15; j = n + 4; y = r + 16; t = y + 4; e = b + 11; o = 4; s = j + 8; r = w + 5; n = o + 5; b = q + 8; q = s + 18; w = z + 19. If o = 4, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 3", "a": "d + 20", "o": "a + 2", "p": "o + 12", "j": "p + 11", "n": "j + 12", "r": "e + 6", "i": "r + 12", "x": "i + 6", "v": "x + 8", "f": "v + 18", "l": "f + 16", "e": 5}, "premises": {"e": 5}, "target": "n"}, "answer": {"steps": [["j", "p + 11", "p + 23"], ["p", "o + 12", "o + 35"], ["o", "a + 2", "a + 37"], ["a", "d + 20", "d + 57"], ["d", "e + 3", "e + 60"], ["e", 5, "65"]], "target_var_name": "n", "target_value": 65, "value_dict": {"e": 5}, "is_reverse": true}} | 18,182 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 5; x = i + 6; r = e + 6; i = r + 12; o = a + 2; d = e + 3; p = o + 12; l = f + 16; f = v + 18; v = x + 8; n = j + 12; a = d + 20; j = p + 11. If e = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 11 to n, which gives n = p + 23.\n2. Substitute p = o + 12 to n, which gives n = o + 35.\n3. Substitute o = a + 2 to n, which gives n = a + 37.\n4. Substitute a = d + 20 to n, which gives n = d + 57.\n5. Substitute d = e + 3 to n, which gives n = e + 60.\n6. Substitute e = 5 to n, which gives n = 65.\n\nThus, the final answer is n = \\boxed{65}.",
"index": 18182,
"question": "Consider a system of variables where each variable is defined as follows: e = 5; x = i + 6; r = e + 6; i = r + 12; o = a + 2; d = e + 3; p = o + 12; l = f + 16; f = v + 18; v = x + 8; n = j + 12; a = d + 20; j = p + 11. If e = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 5", "a": "j + 7", "k": "a + 2", "r": "k + 16", "n": "r + 12", "s": "n + 8", "t": "v + 17", "z": "t + 4", "g": "z + 7", "u": "g + 14", "i": "u + 9", "c": "i + 11", "v": 20}, "premises": {"v": 20}, "target": "s"}, "answer": {"steps": [["n", "r + 12", "r + 20"], ["r", "k + 16", "k + 36"], ["k", "a + 2", "a + 38"], ["a", "j + 7", "j + 45"], ["j", "v + 5", "v + 50"], ["v", 20, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"v": 20}, "is_reverse": true}} | 18,183 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; a = j + 7; c = i + 11; i = u + 9; k = a + 2; z = t + 4; s = n + 8; u = g + 14; t = v + 17; j = v + 5; g = z + 7; r = k + 16; n = r + 12. If v = 20, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = r + 12 to s, which gives s = r + 20.\n2. Substitute r = k + 16 to s, which gives s = k + 36.\n3. Substitute k = a + 2 to s, which gives s = a + 38.\n4. Substitute a = j + 7 to s, which gives s = j + 45.\n5. Substitute j = v + 5 to s, which gives s = v + 50.\n6. Substitute v = 20 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 18183,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = 20; a = j + 7; c = i + 11; i = u + 9; k = a + 2; z = t + 4; s = n + 8; u = g + 14; t = v + 17; j = v + 5; g = z + 7; r = k + 16; n = r + 12. If v = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 17", "j": "u + 15", "d": "j + 12", "i": "d + 12", "e": "i + 12", "r": "e + 14", "t": "h + 7", "b": "t + 14", "l": "b + 10", "f": "l + 20", "z": "f + 16", "o": "z + 4", "h": 18}, "premises": {"h": 18}, "target": "r"}, "answer": {"steps": [["e", "i + 12", "i + 26"], ["i", "d + 12", "d + 38"], ["d", "j + 12", "j + 50"], ["j", "u + 15", "u + 65"], ["u", "h + 17", "h + 82"], ["h", 18, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"h": 18}, "is_reverse": true}} | 18,184 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = b + 10; e = i + 12; u = h + 17; i = d + 12; r = e + 14; t = h + 7; d = j + 12; j = u + 15; f = l + 20; h = 18; o = z + 4; z = f + 16; b = t + 14. Given that h = 18, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 12 to r, which gives r = i + 26.\n2. Substitute i = d + 12 to r, which gives r = d + 38.\n3. Substitute d = j + 12 to r, which gives r = j + 50.\n4. Substitute j = u + 15 to r, which gives r = u + 65.\n5. Substitute u = h + 17 to r, which gives r = h + 82.\n6. Substitute h = 18 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 18184,
"question": "Suppose a collection of variables is related by the following definitions: l = b + 10; e = i + 12; u = h + 17; i = d + 12; r = e + 14; t = h + 7; d = j + 12; j = u + 15; f = l + 20; h = 18; o = z + 4; z = f + 16; b = t + 14. Given that h = 18, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 12", "b": "c + 11", "p": "b + 18", "x": "p + 15", "z": "x + 2", "l": "z + 8", "y": "e + 9", "o": "y + 4", "m": "o + 8", "v": "m + 5", "q": "v + 11", "h": "q + 17", "e": 17}, "premises": {"e": 17}, "target": "l"}, "answer": {"steps": [["z", "x + 2", "x + 10"], ["x", "p + 15", "p + 25"], ["p", "b + 18", "b + 43"], ["b", "c + 11", "c + 54"], ["c", "e + 12", "e + 66"], ["e", 17, "83"]], "target_var_name": "l", "target_value": 83, "value_dict": {"e": 17}, "is_reverse": true}} | 18,185 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = q + 17; q = v + 11; l = z + 8; b = c + 11; v = m + 5; x = p + 15; o = y + 4; m = o + 8; z = x + 2; y = e + 9; p = b + 18; e = 17; c = e + 12. If e = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 2 to l, which gives l = x + 10.\n2. Substitute x = p + 15 to l, which gives l = p + 25.\n3. Substitute p = b + 18 to l, which gives l = b + 43.\n4. Substitute b = c + 11 to l, which gives l = c + 54.\n5. Substitute c = e + 12 to l, which gives l = e + 66.\n6. Substitute e = 17 to l, which gives l = 83.\n\nThus, the final answer is l = \\boxed{83}.",
"index": 18185,
"question": "Consider a system of variables where each variable is defined as follows: h = q + 17; q = v + 11; l = z + 8; b = c + 11; v = m + 5; x = p + 15; o = y + 4; m = o + 8; z = x + 2; y = e + 9; p = b + 18; e = 17; c = e + 12. If e = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 1", "s": "p + 20", "e": "s + 7", "y": "e + 19", "t": "y + 12", "m": "t + 15", "v": "r + 16", "k": "v + 10", "z": "k + 5", "n": "z + 18", "x": "n + 2", "q": "x + 10", "r": 5}, "premises": {"r": 5}, "target": "m"}, "answer": {"steps": [["t", "y + 12", "y + 27"], ["y", "e + 19", "e + 46"], ["e", "s + 7", "s + 53"], ["s", "p + 20", "p + 73"], ["p", "r + 1", "r + 74"], ["r", 5, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"r": 5}, "is_reverse": true}} | 18,186 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 5; v = r + 16; n = z + 18; m = t + 15; r = 5; s = p + 20; k = v + 10; e = s + 7; p = r + 1; t = y + 12; y = e + 19; q = x + 10; x = n + 2. If r = 5, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = y + 12 to m, which gives m = y + 27.\n2. Substitute y = e + 19 to m, which gives m = e + 46.\n3. Substitute e = s + 7 to m, which gives m = s + 53.\n4. Substitute s = p + 20 to m, which gives m = p + 73.\n5. Substitute p = r + 1 to m, which gives m = r + 74.\n6. Substitute r = 5 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 18186,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = k + 5; v = r + 16; n = z + 18; m = t + 15; r = 5; s = p + 20; k = v + 10; e = s + 7; p = r + 1; t = y + 12; y = e + 19; q = x + 10; x = n + 2. If r = 5, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 18", "t": "m + 20", "i": "t + 4", "n": "i + 6", "x": "n + 2", "u": "x + 18", "b": "v + 14", "c": "b + 14", "o": "c + 17", "p": "o + 5", "j": "p + 1", "q": "j + 4", "v": 19}, "premises": {"v": 19}, "target": "u"}, "answer": {"steps": [["x", "n + 2", "n + 20"], ["n", "i + 6", "i + 26"], ["i", "t + 4", "t + 30"], ["t", "m + 20", "m + 50"], ["m", "v + 18", "v + 68"], ["v", 19, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"v": 19}, "is_reverse": true}} | 18,187 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 18; q = j + 4; m = v + 18; n = i + 6; t = m + 20; b = v + 14; x = n + 2; i = t + 4; v = 19; p = o + 5; c = b + 14; o = c + 17; j = p + 1. If v = 19, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 2 to u, which gives u = n + 20.\n2. Substitute n = i + 6 to u, which gives u = i + 26.\n3. Substitute i = t + 4 to u, which gives u = t + 30.\n4. Substitute t = m + 20 to u, which gives u = m + 50.\n5. Substitute m = v + 18 to u, which gives u = v + 68.\n6. Substitute v = 19 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 18187,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 18; q = j + 4; m = v + 18; n = i + 6; t = m + 20; b = v + 14; x = n + 2; i = t + 4; v = 19; p = o + 5; c = b + 14; o = c + 17; j = p + 1. If v = 19, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 1", "b": "f + 17", "g": "b + 15", "j": "g + 8", "l": "j + 10", "k": "l + 13", "a": "u + 14", "p": "a + 1", "z": "p + 13", "d": "z + 14", "y": "d + 2", "o": "y + 18", "u": 10}, "premises": {"u": 10}, "target": "k"}, "answer": {"steps": [["l", "j + 10", "j + 23"], ["j", "g + 8", "g + 31"], ["g", "b + 15", "b + 46"], ["b", "f + 17", "f + 63"], ["f", "u + 1", "u + 64"], ["u", 10, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"u": 10}, "is_reverse": true}} | 18,188 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = p + 13; j = g + 8; o = y + 18; y = d + 2; g = b + 15; p = a + 1; d = z + 14; l = j + 10; a = u + 14; k = l + 13; f = u + 1; b = f + 17; u = 10. Given that u = 10, find 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 l = j + 10 to k, which gives k = j + 23.\n2. Substitute j = g + 8 to k, which gives k = g + 31.\n3. Substitute g = b + 15 to k, which gives k = b + 46.\n4. Substitute b = f + 17 to k, which gives k = f + 63.\n5. Substitute f = u + 1 to k, which gives k = u + 64.\n6. Substitute u = 10 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 18188,
"question": "Suppose a collection of variables is related by the following definitions: z = p + 13; j = g + 8; o = y + 18; y = d + 2; g = b + 15; p = a + 1; d = z + 14; l = j + 10; a = u + 14; k = l + 13; f = u + 1; b = f + 17; u = 10. Given that u = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 20", "s": "q + 12", "t": "s + 19", "r": "t + 14", "x": "r + 10", "a": "x + 17", "f": "j + 2", "l": "f + 14", "i": "l + 14", "b": "i + 16", "z": "b + 9", "h": "z + 15", "j": 5}, "premises": {"j": 5}, "target": "a"}, "answer": {"steps": [["x", "r + 10", "r + 27"], ["r", "t + 14", "t + 41"], ["t", "s + 19", "s + 60"], ["s", "q + 12", "q + 72"], ["q", "j + 20", "j + 92"], ["j", 5, "97"]], "target_var_name": "a", "target_value": 97, "value_dict": {"j": 5}, "is_reverse": true}} | 18,189 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = t + 14; t = s + 19; q = j + 20; j = 5; s = q + 12; x = r + 10; i = l + 14; l = f + 14; h = z + 15; z = b + 9; b = i + 16; f = j + 2; a = x + 17. If j = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 10 to a, which gives a = r + 27.\n2. Substitute r = t + 14 to a, which gives a = t + 41.\n3. Substitute t = s + 19 to a, which gives a = s + 60.\n4. Substitute s = q + 12 to a, which gives a = q + 72.\n5. Substitute q = j + 20 to a, which gives a = j + 92.\n6. Substitute j = 5 to a, which gives a = 97.\n\nThus, the final answer is a = \\boxed{97}.",
"index": 18189,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 14; t = s + 19; q = j + 20; j = 5; s = q + 12; x = r + 10; i = l + 14; l = f + 14; h = z + 15; z = b + 9; b = i + 16; f = j + 2; a = x + 17. If j = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "i + 18", "k": "v + 13", "t": "k + 4", "l": "t + 8", "d": "l + 19", "n": "d + 8", "w": "i + 4", "o": "w + 1", "c": "o + 5", "p": "c + 15", "g": "p + 17", "z": "g + 20", "i": 19}, "premises": {"i": 19}, "target": "n"}, "answer": {"steps": [["d", "l + 19", "l + 27"], ["l", "t + 8", "t + 35"], ["t", "k + 4", "k + 39"], ["k", "v + 13", "v + 52"], ["v", "i + 18", "i + 70"], ["i", 19, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"i": 19}, "is_reverse": true}} | 18,190 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = o + 5; l = t + 8; d = l + 19; w = i + 4; o = w + 1; z = g + 20; k = v + 13; t = k + 4; i = 19; v = i + 18; p = c + 15; g = p + 17; n = d + 8. Given that i = 19, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 19 to n, which gives n = l + 27.\n2. Substitute l = t + 8 to n, which gives n = t + 35.\n3. Substitute t = k + 4 to n, which gives n = k + 39.\n4. Substitute k = v + 13 to n, which gives n = v + 52.\n5. Substitute v = i + 18 to n, which gives n = i + 70.\n6. Substitute i = 19 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 18190,
"question": "Suppose a collection of variables is related by the following definitions: c = o + 5; l = t + 8; d = l + 19; w = i + 4; o = w + 1; z = g + 20; k = v + 13; t = k + 4; i = 19; v = i + 18; p = c + 15; g = p + 17; n = d + 8. Given that i = 19, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "e + 13", "z": "r + 16", "l": "z + 16", "h": "l + 4", "s": "h + 14", "q": "s + 7", "i": "e + 15", "v": "i + 16", "w": "v + 16", "n": "w + 2", "c": "n + 16", "u": "c + 13", "e": 20}, "premises": {"e": 20}, "target": "q"}, "answer": {"steps": [["s", "h + 14", "h + 21"], ["h", "l + 4", "l + 25"], ["l", "z + 16", "z + 41"], ["z", "r + 16", "r + 57"], ["r", "e + 13", "e + 70"], ["e", 20, "90"]], "target_var_name": "q", "target_value": 90, "value_dict": {"e": 20}, "is_reverse": true}} | 18,191 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 16; e = 20; v = i + 16; h = l + 4; w = v + 16; s = h + 14; r = e + 13; l = z + 16; z = r + 16; q = s + 7; u = c + 13; i = e + 15; n = w + 2. Given that e = 20, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 14 to q, which gives q = h + 21.\n2. Substitute h = l + 4 to q, which gives q = l + 25.\n3. Substitute l = z + 16 to q, which gives q = z + 41.\n4. Substitute z = r + 16 to q, which gives q = r + 57.\n5. Substitute r = e + 13 to q, which gives q = e + 70.\n6. Substitute e = 20 to q, which gives q = 90.\n\nThus, the final answer is q = \\boxed{90}.",
"index": 18191,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 16; e = 20; v = i + 16; h = l + 4; w = v + 16; s = h + 14; r = e + 13; l = z + 16; z = r + 16; q = s + 7; u = c + 13; i = e + 15; n = w + 2. Given that e = 20, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"z": "b + 7", "d": "z + 15", "k": "d + 1", "g": "k + 13", "e": "g + 14", "j": "e + 1", "i": "b + 10", "w": "i + 13", "r": "w + 6", "t": "r + 16", "q": "t + 1", "o": "q + 8", "b": 19}, "premises": {"b": 19}, "target": "j"}, "answer": {"steps": [["e", "g + 14", "g + 15"], ["g", "k + 13", "k + 28"], ["k", "d + 1", "d + 29"], ["d", "z + 15", "z + 44"], ["z", "b + 7", "b + 51"], ["b", 19, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"b": 19}, "is_reverse": true}} | 18,192 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 14; j = e + 1; g = k + 13; z = b + 7; d = z + 15; r = w + 6; w = i + 13; t = r + 16; i = b + 10; o = q + 8; k = d + 1; b = 19; q = t + 1. If b = 19, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 14 to j, which gives j = g + 15.\n2. Substitute g = k + 13 to j, which gives j = k + 28.\n3. Substitute k = d + 1 to j, which gives j = d + 29.\n4. Substitute d = z + 15 to j, which gives j = z + 44.\n5. Substitute z = b + 7 to j, which gives j = b + 51.\n6. Substitute b = 19 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 18192,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 14; j = e + 1; g = k + 13; z = b + 7; d = z + 15; r = w + 6; w = i + 13; t = r + 16; i = b + 10; o = q + 8; k = d + 1; b = 19; q = t + 1. If b = 19, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 19", "t": "v + 6", "x": "t + 4", "g": "x + 16", "m": "g + 10", "b": "m + 17", "n": "w + 1", "s": "n + 5", "h": "s + 12", "p": "h + 8", "r": "p + 12", "f": "r + 13", "w": 17}, "premises": {"w": 17}, "target": "b"}, "answer": {"steps": [["m", "g + 10", "g + 27"], ["g", "x + 16", "x + 43"], ["x", "t + 4", "t + 47"], ["t", "v + 6", "v + 53"], ["v", "w + 19", "w + 72"], ["w", 17, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"w": 17}, "is_reverse": true}} | 18,193 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 17; m = g + 10; g = x + 16; f = r + 13; t = v + 6; s = n + 5; h = s + 12; w = 17; p = h + 8; r = p + 12; n = w + 1; x = t + 4; v = w + 19. If w = 17, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = g + 10 to b, which gives b = g + 27.\n2. Substitute g = x + 16 to b, which gives b = x + 43.\n3. Substitute x = t + 4 to b, which gives b = t + 47.\n4. Substitute t = v + 6 to b, which gives b = v + 53.\n5. Substitute v = w + 19 to b, which gives b = w + 72.\n6. Substitute w = 17 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 18193,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = m + 17; m = g + 10; g = x + 16; f = r + 13; t = v + 6; s = n + 5; h = s + 12; w = 17; p = h + 8; r = p + 12; n = w + 1; x = t + 4; v = w + 19. If w = 17, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "v + 1", "l": "x + 10", "r": "l + 12", "z": "r + 17", "m": "z + 9", "w": "m + 9", "q": "v + 6", "c": "q + 7", "e": "c + 6", "k": "e + 14", "t": "k + 9", "a": "t + 15", "v": 5}, "premises": {"v": 5}, "target": "w"}, "answer": {"steps": [["m", "z + 9", "z + 18"], ["z", "r + 17", "r + 35"], ["r", "l + 12", "l + 47"], ["l", "x + 10", "x + 57"], ["x", "v + 1", "v + 58"], ["v", 5, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"v": 5}, "is_reverse": true}} | 18,194 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = m + 9; k = e + 14; v = 5; c = q + 7; x = v + 1; t = k + 9; q = v + 6; m = z + 9; r = l + 12; l = x + 10; e = c + 6; z = r + 17; a = t + 15. Given that v = 5, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 9 to w, which gives w = z + 18.\n2. Substitute z = r + 17 to w, which gives w = r + 35.\n3. Substitute r = l + 12 to w, which gives w = l + 47.\n4. Substitute l = x + 10 to w, which gives w = x + 57.\n5. Substitute x = v + 1 to w, which gives w = v + 58.\n6. Substitute v = 5 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 18194,
"question": "Suppose a collection of variables is related by the following definitions: w = m + 9; k = e + 14; v = 5; c = q + 7; x = v + 1; t = k + 9; q = v + 6; m = z + 9; r = l + 12; l = x + 10; e = c + 6; z = r + 17; a = t + 15. Given that v = 5, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 12", "a": "l + 13", "z": "a + 14", "w": "z + 3", "k": "w + 15", "i": "k + 2", "y": "f + 10", "g": "y + 5", "e": "g + 15", "x": "e + 14", "m": "x + 8", "o": "m + 4", "f": 10}, "premises": {"f": 10}, "target": "i"}, "answer": {"steps": [["k", "w + 15", "w + 17"], ["w", "z + 3", "z + 20"], ["z", "a + 14", "a + 34"], ["a", "l + 13", "l + 47"], ["l", "f + 12", "f + 59"], ["f", 10, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"f": 10}, "is_reverse": true}} | 18,195 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 5; k = w + 15; a = l + 13; l = f + 12; f = 10; e = g + 15; m = x + 8; i = k + 2; z = a + 14; y = f + 10; o = m + 4; x = e + 14; w = z + 3. Given that f = 10, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 15 to i, which gives i = w + 17.\n2. Substitute w = z + 3 to i, which gives i = z + 20.\n3. Substitute z = a + 14 to i, which gives i = a + 34.\n4. Substitute a = l + 13 to i, which gives i = l + 47.\n5. Substitute l = f + 12 to i, which gives i = f + 59.\n6. Substitute f = 10 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 18195,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 5; k = w + 15; a = l + 13; l = f + 12; f = 10; e = g + 15; m = x + 8; i = k + 2; z = a + 14; y = f + 10; o = m + 4; x = e + 14; w = z + 3. Given that f = 10, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "o + 8", "b": "c + 3", "x": "b + 10", "q": "x + 14", "l": "q + 17", "p": "l + 5", "z": "o + 3", "a": "z + 20", "w": "a + 2", "u": "w + 7", "e": "u + 12", "h": "e + 19", "o": 19}, "premises": {"o": 19}, "target": "p"}, "answer": {"steps": [["l", "q + 17", "q + 22"], ["q", "x + 14", "x + 36"], ["x", "b + 10", "b + 46"], ["b", "c + 3", "c + 49"], ["c", "o + 8", "o + 57"], ["o", 19, "76"]], "target_var_name": "p", "target_value": 76, "value_dict": {"o": 19}, "is_reverse": true}} | 18,196 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 19; z = o + 3; o = 19; u = w + 7; c = o + 8; x = b + 10; p = l + 5; q = x + 14; l = q + 17; e = u + 12; b = c + 3; a = z + 20; w = a + 2. If o = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 17 to p, which gives p = q + 22.\n2. Substitute q = x + 14 to p, which gives p = x + 36.\n3. Substitute x = b + 10 to p, which gives p = b + 46.\n4. Substitute b = c + 3 to p, which gives p = c + 49.\n5. Substitute c = o + 8 to p, which gives p = o + 57.\n6. Substitute o = 19 to p, which gives p = 76.\n\nThus, the final answer is p = \\boxed{76}.",
"index": 18196,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 19; z = o + 3; o = 19; u = w + 7; c = o + 8; x = b + 10; p = l + 5; q = x + 14; l = q + 17; e = u + 12; b = c + 3; a = z + 20; w = a + 2. If o = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 4", "o": "i + 20", "l": "o + 3", "e": "l + 15", "z": "e + 16", "d": "z + 1", "q": "h + 16", "w": "q + 9", "f": "w + 15", "r": "f + 10", "s": "r + 8", "x": "s + 13", "h": 13}, "premises": {"h": 13}, "target": "d"}, "answer": {"steps": [["z", "e + 16", "e + 17"], ["e", "l + 15", "l + 32"], ["l", "o + 3", "o + 35"], ["o", "i + 20", "i + 55"], ["i", "h + 4", "h + 59"], ["h", 13, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"h": 13}, "is_reverse": true}} | 18,197 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 4; r = f + 10; s = r + 8; f = w + 15; o = i + 20; q = h + 16; h = 13; w = q + 9; e = l + 15; d = z + 1; l = o + 3; x = s + 13; z = e + 16. Given that h = 13, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 16 to d, which gives d = e + 17.\n2. Substitute e = l + 15 to d, which gives d = l + 32.\n3. Substitute l = o + 3 to d, which gives d = o + 35.\n4. Substitute o = i + 20 to d, which gives d = i + 55.\n5. Substitute i = h + 4 to d, which gives d = h + 59.\n6. Substitute h = 13 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 18197,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 4; r = f + 10; s = r + 8; f = w + 15; o = i + 20; q = h + 16; h = 13; w = q + 9; e = l + 15; d = z + 1; l = o + 3; x = s + 13; z = e + 16. Given that h = 13, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "r + 13", "z": "g + 8", "e": "z + 11", "x": "e + 11", "c": "x + 9", "o": "c + 6", "t": "r + 8", "v": "t + 11", "a": "v + 4", "p": "a + 5", "w": "p + 3", "h": "w + 15", "r": 6}, "premises": {"r": 6}, "target": "o"}, "answer": {"steps": [["c", "x + 9", "x + 15"], ["x", "e + 11", "e + 26"], ["e", "z + 11", "z + 37"], ["z", "g + 8", "g + 45"], ["g", "r + 13", "r + 58"], ["r", 6, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"r": 6}, "is_reverse": true}} | 18,198 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 4; p = a + 5; o = c + 6; z = g + 8; w = p + 3; t = r + 8; c = x + 9; g = r + 13; h = w + 15; v = t + 11; x = e + 11; r = 6; e = z + 11. Given that r = 6, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 9 to o, which gives o = x + 15.\n2. Substitute x = e + 11 to o, which gives o = e + 26.\n3. Substitute e = z + 11 to o, which gives o = z + 37.\n4. Substitute z = g + 8 to o, which gives o = g + 45.\n5. Substitute g = r + 13 to o, which gives o = r + 58.\n6. Substitute r = 6 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 18198,
"question": "Suppose a collection of variables is related by the following definitions: a = v + 4; p = a + 5; o = c + 6; z = g + 8; w = p + 3; t = r + 8; c = x + 9; g = r + 13; h = w + 15; v = t + 11; x = e + 11; r = 6; e = z + 11. Given that r = 6, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"s": "n + 17", "p": "s + 20", "d": "p + 1", "q": "d + 20", "j": "q + 4", "t": "j + 13", "a": "n + 8", "u": "a + 7", "f": "u + 1", "m": "f + 9", "y": "m + 1", "e": "y + 19", "n": 10}, "premises": {"n": 10}, "target": "t"}, "answer": {"steps": [["j", "q + 4", "q + 17"], ["q", "d + 20", "d + 37"], ["d", "p + 1", "p + 38"], ["p", "s + 20", "s + 58"], ["s", "n + 17", "n + 75"], ["n", 10, "85"]], "target_var_name": "t", "target_value": 85, "value_dict": {"n": 10}, "is_reverse": true}} | 18,199 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 9; a = n + 8; t = j + 13; f = u + 1; d = p + 1; j = q + 4; p = s + 20; e = y + 19; q = d + 20; n = 10; s = n + 17; y = m + 1; u = a + 7. Given that n = 10, find the 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 j = q + 4 to t, which gives t = q + 17.\n2. Substitute q = d + 20 to t, which gives t = d + 37.\n3. Substitute d = p + 1 to t, which gives t = p + 38.\n4. Substitute p = s + 20 to t, which gives t = s + 58.\n5. Substitute s = n + 17 to t, which gives t = n + 75.\n6. Substitute n = 10 to t, which gives t = 85.\n\nThus, the final answer is t = \\boxed{85}.",
"index": 18199,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 9; a = n + 8; t = j + 13; f = u + 1; d = p + 1; j = q + 4; p = s + 20; e = y + 19; q = d + 20; n = 10; s = n + 17; y = m + 1; u = a + 7. Given that n = 10, find the value of t.",
"split": "train"
} |
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