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": {"d": "i + 15", "r": "d + 10", "w": "r + 1", "s": "w + 4", "c": "s + 18", "g": "c + 3", "z": "i + 19", "a": "z + 8", "t": "a + 12", "o": "t + 18", "q": "o + 8", "x": "q + 6", "i": 10}, "premises": {"i": 10}, "target": "g"}, "answer": {"steps": [["c", "s + 18", "s + 21"], ["s", "w + 4", "w + 25"], ["w", "r + 1", "r + 26"], ["r", "d + 10", "d + 36"], ["d", "i + 15", "i + 51"], ["i", 10, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"i": 10}, "is_reverse": true}} | 9,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 12; z = i + 19; g = c + 3; w = r + 1; r = d + 10; s = w + 4; o = t + 18; q = o + 8; a = z + 8; c = s + 18; d = i + 15; x = q + 6; i = 10. If i = 10, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 18 to g, which gives g = s + 21.\n2. Substitute s = w + 4 to g, which gives g = w + 25.\n3. Substitute w = r + 1 to g, which gives g = r + 26.\n4. Substitute r = d + 10 to g, which gives g = d + 36.\n5. Substitute d = i + 15 to g, which gives g = i + 51.\n6. Substitute i = 10 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 9900,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = a + 12; z = i + 19; g = c + 3; w = r + 1; r = d + 10; s = w + 4; o = t + 18; q = o + 8; a = z + 8; c = s + 18; d = i + 15; x = q + 6; i = 10. If i = 10, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 12", "z": "x + 14", "o": "z + 16", "i": "o + 10", "g": "i + 8", "v": "g + 16", "k": "t + 14", "q": "k + 2", "j": "q + 7", "d": "j + 9", "w": "d + 7", "u": "w + 19", "t": 7}, "premises": {"t": 7}, "target": "v"}, "answer": {"steps": [["g", "i + 8", "i + 24"], ["i", "o + 10", "o + 34"], ["o", "z + 16", "z + 50"], ["z", "x + 14", "x + 64"], ["x", "t + 12", "t + 76"], ["t", 7, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"t": 7}, "is_reverse": true}} | 9,901 | 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 = o + 10; v = g + 16; k = t + 14; g = i + 8; w = d + 7; o = z + 16; u = w + 19; j = q + 7; x = t + 12; z = x + 14; d = j + 9; q = k + 2; t = 7. If t = 7, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 8 to v, which gives v = i + 24.\n2. Substitute i = o + 10 to v, which gives v = o + 34.\n3. Substitute o = z + 16 to v, which gives v = z + 50.\n4. Substitute z = x + 14 to v, which gives v = x + 64.\n5. Substitute x = t + 12 to v, which gives v = t + 76.\n6. Substitute t = 7 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 9901,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 10; v = g + 16; k = t + 14; g = i + 8; w = d + 7; o = z + 16; u = w + 19; j = q + 7; x = t + 12; z = x + 14; d = j + 9; q = k + 2; t = 7. If t = 7, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 4", "u": "r + 8", "x": "u + 8", "s": "x + 6", "p": "s + 19", "b": "p + 14", "v": "i + 1", "n": "v + 15", "a": "n + 19", "q": "a + 19", "l": "q + 5", "d": "l + 3", "i": 12}, "premises": {"i": 12}, "target": "b"}, "answer": {"steps": [["p", "s + 19", "s + 33"], ["s", "x + 6", "x + 39"], ["x", "u + 8", "u + 47"], ["u", "r + 8", "r + 55"], ["r", "i + 4", "i + 59"], ["i", 12, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"i": 12}, "is_reverse": true}} | 9,902 | 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 = i + 1; r = i + 4; b = p + 14; d = l + 3; l = q + 5; i = 12; s = x + 6; x = u + 8; q = a + 19; a = n + 19; n = v + 15; p = s + 19; u = r + 8. If i = 12, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 19 to b, which gives b = s + 33.\n2. Substitute s = x + 6 to b, which gives b = x + 39.\n3. Substitute x = u + 8 to b, which gives b = u + 47.\n4. Substitute u = r + 8 to b, which gives b = r + 55.\n5. Substitute r = i + 4 to b, which gives b = i + 59.\n6. Substitute i = 12 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 9902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = i + 1; r = i + 4; b = p + 14; d = l + 3; l = q + 5; i = 12; s = x + 6; x = u + 8; q = a + 19; a = n + 19; n = v + 15; p = s + 19; u = r + 8. If i = 12, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 20", "f": "z + 16", "m": "f + 9", "a": "m + 19", "h": "a + 1", "d": "h + 18", "k": "n + 3", "c": "k + 20", "i": "c + 7", "w": "i + 14", "u": "w + 20", "l": "u + 7", "n": 14}, "premises": {"n": 14}, "target": "d"}, "answer": {"steps": [["h", "a + 1", "a + 19"], ["a", "m + 19", "m + 38"], ["m", "f + 9", "f + 47"], ["f", "z + 16", "z + 63"], ["z", "n + 20", "n + 83"], ["n", 14, "97"]], "target_var_name": "d", "target_value": 97, "value_dict": {"n": 14}, "is_reverse": true}} | 9,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = i + 14; d = h + 18; c = k + 20; h = a + 1; k = n + 3; i = c + 7; u = w + 20; m = f + 9; n = 14; f = z + 16; l = u + 7; a = m + 19; z = n + 20. If n = 14, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 1 to d, which gives d = a + 19.\n2. Substitute a = m + 19 to d, which gives d = m + 38.\n3. Substitute m = f + 9 to d, which gives d = f + 47.\n4. Substitute f = z + 16 to d, which gives d = z + 63.\n5. Substitute z = n + 20 to d, which gives d = n + 83.\n6. Substitute n = 14 to d, which gives d = 97.\n\nThus, the final answer is d = \\boxed{97}.",
"index": 9903,
"question": "Consider a system of variables where each variable is defined as follows: w = i + 14; d = h + 18; c = k + 20; h = a + 1; k = n + 3; i = c + 7; u = w + 20; m = f + 9; n = 14; f = z + 16; l = u + 7; a = m + 19; z = n + 20. If n = 14, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 18", "g": "m + 18", "c": "g + 1", "b": "c + 18", "l": "b + 5", "r": "l + 9", "w": "t + 16", "k": "w + 18", "o": "k + 19", "e": "o + 8", "v": "e + 14", "s": "v + 6", "t": 20}, "premises": {"t": 20}, "target": "r"}, "answer": {"steps": [["l", "b + 5", "b + 14"], ["b", "c + 18", "c + 32"], ["c", "g + 1", "g + 33"], ["g", "m + 18", "m + 51"], ["m", "t + 18", "t + 69"], ["t", 20, "89"]], "target_var_name": "r", "target_value": 89, "value_dict": {"t": 20}, "is_reverse": true}} | 9,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = v + 6; w = t + 16; e = o + 8; v = e + 14; g = m + 18; b = c + 18; l = b + 5; t = 20; k = w + 18; c = g + 1; o = k + 19; m = t + 18; r = l + 9. Given that t = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 5 to r, which gives r = b + 14.\n2. Substitute b = c + 18 to r, which gives r = c + 32.\n3. Substitute c = g + 1 to r, which gives r = g + 33.\n4. Substitute g = m + 18 to r, which gives r = m + 51.\n5. Substitute m = t + 18 to r, which gives r = t + 69.\n6. Substitute t = 20 to r, which gives r = 89.\n\nThus, the final answer is r = \\boxed{89}.",
"index": 9904,
"question": "Suppose a collection of variables is related by the following definitions: s = v + 6; w = t + 16; e = o + 8; v = e + 14; g = m + 18; b = c + 18; l = b + 5; t = 20; k = w + 18; c = g + 1; o = k + 19; m = t + 18; r = l + 9. Given that t = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 16", "o": "k + 19", "h": "o + 8", "l": "h + 17", "b": "l + 9", "i": "b + 10", "v": "j + 11", "w": "v + 3", "a": "w + 14", "q": "a + 15", "m": "q + 16", "p": "m + 9", "j": 19}, "premises": {"j": 19}, "target": "i"}, "answer": {"steps": [["b", "l + 9", "l + 19"], ["l", "h + 17", "h + 36"], ["h", "o + 8", "o + 44"], ["o", "k + 19", "k + 63"], ["k", "j + 16", "j + 79"], ["j", 19, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"j": 19}, "is_reverse": true}} | 9,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 14; p = m + 9; q = a + 15; b = l + 9; v = j + 11; l = h + 17; j = 19; k = j + 16; w = v + 3; h = o + 8; o = k + 19; i = b + 10; m = q + 16. If j = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 9 to i, which gives i = l + 19.\n2. Substitute l = h + 17 to i, which gives i = h + 36.\n3. Substitute h = o + 8 to i, which gives i = o + 44.\n4. Substitute o = k + 19 to i, which gives i = k + 63.\n5. Substitute k = j + 16 to i, which gives i = j + 79.\n6. Substitute j = 19 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 9905,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = w + 14; p = m + 9; q = a + 15; b = l + 9; v = j + 11; l = h + 17; j = 19; k = j + 16; w = v + 3; h = o + 8; o = k + 19; i = b + 10; m = q + 16. If j = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 15", "e": "f + 20", "d": "e + 12", "u": "d + 10", "w": "u + 16", "i": "w + 13", "l": "a + 8", "t": "l + 12", "o": "t + 17", "s": "o + 12", "b": "s + 19", "p": "b + 19", "a": 19}, "premises": {"a": 19}, "target": "i"}, "answer": {"steps": [["w", "u + 16", "u + 29"], ["u", "d + 10", "d + 39"], ["d", "e + 12", "e + 51"], ["e", "f + 20", "f + 71"], ["f", "a + 15", "a + 86"], ["a", 19, "105"]], "target_var_name": "i", "target_value": 105, "value_dict": {"a": 19}, "is_reverse": true}} | 9,906 | 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 = o + 12; a = 19; u = d + 10; o = t + 17; w = u + 16; f = a + 15; l = a + 8; i = w + 13; e = f + 20; p = b + 19; t = l + 12; b = s + 19; d = e + 12. If a = 19, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 16 to i, which gives i = u + 29.\n2. Substitute u = d + 10 to i, which gives i = d + 39.\n3. Substitute d = e + 12 to i, which gives i = e + 51.\n4. Substitute e = f + 20 to i, which gives i = f + 71.\n5. Substitute f = a + 15 to i, which gives i = a + 86.\n6. Substitute a = 19 to i, which gives i = 105.\n\nThus, the final answer is i = \\boxed{105}.",
"index": 9906,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = o + 12; a = 19; u = d + 10; o = t + 17; w = u + 16; f = a + 15; l = a + 8; i = w + 13; e = f + 20; p = b + 19; t = l + 12; b = s + 19; d = e + 12. If a = 19, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 13", "h": "b + 7", "k": "h + 20", "q": "k + 20", "z": "q + 10", "w": "z + 5", "x": "g + 18", "j": "x + 7", "o": "j + 11", "d": "o + 10", "v": "d + 1", "r": "v + 8", "g": 14}, "premises": {"g": 14}, "target": "w"}, "answer": {"steps": [["z", "q + 10", "q + 15"], ["q", "k + 20", "k + 35"], ["k", "h + 20", "h + 55"], ["h", "b + 7", "b + 62"], ["b", "g + 13", "g + 75"], ["g", 14, "89"]], "target_var_name": "w", "target_value": 89, "value_dict": {"g": 14}, "is_reverse": true}} | 9,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = g + 18; j = x + 7; h = b + 7; z = q + 10; b = g + 13; o = j + 11; k = h + 20; r = v + 8; q = k + 20; v = d + 1; w = z + 5; g = 14; d = o + 10. If g = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 10 to w, which gives w = q + 15.\n2. Substitute q = k + 20 to w, which gives w = k + 35.\n3. Substitute k = h + 20 to w, which gives w = h + 55.\n4. Substitute h = b + 7 to w, which gives w = b + 62.\n5. Substitute b = g + 13 to w, which gives w = g + 75.\n6. Substitute g = 14 to w, which gives w = 89.\n\nThus, the final answer is w = \\boxed{89}.",
"index": 9907,
"question": "Consider a system of variables where each variable is defined as follows: x = g + 18; j = x + 7; h = b + 7; z = q + 10; b = g + 13; o = j + 11; k = h + 20; r = v + 8; q = k + 20; v = d + 1; w = z + 5; g = 14; d = o + 10. If g = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 19", "s": "p + 16", "t": "s + 5", "n": "t + 8", "x": "n + 10", "i": "x + 12", "w": "y + 14", "j": "w + 17", "d": "j + 18", "c": "d + 15", "l": "c + 17", "q": "l + 3", "y": 15}, "premises": {"y": 15}, "target": "i"}, "answer": {"steps": [["x", "n + 10", "n + 22"], ["n", "t + 8", "t + 30"], ["t", "s + 5", "s + 35"], ["s", "p + 16", "p + 51"], ["p", "y + 19", "y + 70"], ["y", 15, "85"]], "target_var_name": "i", "target_value": 85, "value_dict": {"y": 15}, "is_reverse": true}} | 9,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 5; l = c + 17; x = n + 10; s = p + 16; q = l + 3; w = y + 14; p = y + 19; i = x + 12; d = j + 18; c = d + 15; j = w + 17; y = 15; n = t + 8. If y = 15, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 10 to i, which gives i = n + 22.\n2. Substitute n = t + 8 to i, which gives i = t + 30.\n3. Substitute t = s + 5 to i, which gives i = s + 35.\n4. Substitute s = p + 16 to i, which gives i = p + 51.\n5. Substitute p = y + 19 to i, which gives i = y + 70.\n6. Substitute y = 15 to i, which gives i = 85.\n\nThus, the final answer is i = \\boxed{85}.",
"index": 9908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 5; l = c + 17; x = n + 10; s = p + 16; q = l + 3; w = y + 14; p = y + 19; i = x + 12; d = j + 18; c = d + 15; j = w + 17; y = 15; n = t + 8. If y = 15, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"j": "o + 12", "h": "j + 1", "p": "h + 16", "g": "p + 8", "f": "g + 13", "y": "f + 16", "c": "o + 13", "d": "c + 6", "r": "d + 17", "w": "r + 3", "n": "w + 1", "v": "n + 9", "o": 2}, "premises": {"o": 2}, "target": "y"}, "answer": {"steps": [["f", "g + 13", "g + 29"], ["g", "p + 8", "p + 37"], ["p", "h + 16", "h + 53"], ["h", "j + 1", "j + 54"], ["j", "o + 12", "o + 66"], ["o", 2, "68"]], "target_var_name": "y", "target_value": 68, "value_dict": {"o": 2}, "is_reverse": true}} | 9,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = g + 13; v = n + 9; d = c + 6; h = j + 1; g = p + 8; y = f + 16; o = 2; c = o + 13; j = o + 12; r = d + 17; w = r + 3; n = w + 1; p = h + 16. Given that o = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 13 to y, which gives y = g + 29.\n2. Substitute g = p + 8 to y, which gives y = p + 37.\n3. Substitute p = h + 16 to y, which gives y = h + 53.\n4. Substitute h = j + 1 to y, which gives y = j + 54.\n5. Substitute j = o + 12 to y, which gives y = o + 66.\n6. Substitute o = 2 to y, which gives y = 68.\n\nThus, the final answer is y = \\boxed{68}.",
"index": 9909,
"question": "Suppose a collection of variables is related by the following definitions: f = g + 13; v = n + 9; d = c + 6; h = j + 1; g = p + 8; y = f + 16; o = 2; c = o + 13; j = o + 12; r = d + 17; w = r + 3; n = w + 1; p = h + 16. Given that o = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"a": "o + 6", "s": "a + 7", "z": "s + 12", "r": "z + 19", "p": "r + 11", "e": "p + 6", "k": "o + 7", "j": "k + 13", "g": "j + 12", "c": "g + 6", "q": "c + 18", "u": "q + 10", "o": 4}, "premises": {"o": 4}, "target": "e"}, "answer": {"steps": [["p", "r + 11", "r + 17"], ["r", "z + 19", "z + 36"], ["z", "s + 12", "s + 48"], ["s", "a + 7", "a + 55"], ["a", "o + 6", "o + 61"], ["o", 4, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"o": 4}, "is_reverse": true}} | 9,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = o + 7; q = c + 18; p = r + 11; a = o + 6; r = z + 19; e = p + 6; c = g + 6; g = j + 12; s = a + 7; o = 4; z = s + 12; u = q + 10; j = k + 13. Given that o = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = r + 11 to e, which gives e = r + 17.\n2. Substitute r = z + 19 to e, which gives e = z + 36.\n3. Substitute z = s + 12 to e, which gives e = s + 48.\n4. Substitute s = a + 7 to e, which gives e = a + 55.\n5. Substitute a = o + 6 to e, which gives e = o + 61.\n6. Substitute o = 4 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 9910,
"question": "Suppose a collection of variables is related by the following definitions: k = o + 7; q = c + 18; p = r + 11; a = o + 6; r = z + 19; e = p + 6; c = g + 6; g = j + 12; s = a + 7; o = 4; z = s + 12; u = q + 10; j = k + 13. Given that o = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 11", "h": "k + 11", "y": "h + 9", "p": "y + 2", "g": "p + 19", "d": "g + 11", "f": "j + 20", "x": "f + 8", "i": "x + 6", "s": "i + 6", "l": "s + 8", "v": "l + 12", "j": 12}, "premises": {"j": 12}, "target": "d"}, "answer": {"steps": [["g", "p + 19", "p + 30"], ["p", "y + 2", "y + 32"], ["y", "h + 9", "h + 41"], ["h", "k + 11", "k + 52"], ["k", "j + 11", "j + 63"], ["j", 12, "75"]], "target_var_name": "d", "target_value": 75, "value_dict": {"j": 12}, "is_reverse": true}} | 9,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = l + 12; f = j + 20; h = k + 11; x = f + 8; i = x + 6; g = p + 19; k = j + 11; y = h + 9; s = i + 6; l = s + 8; p = y + 2; j = 12; d = g + 11. Given that j = 12, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = p + 19 to d, which gives d = p + 30.\n2. Substitute p = y + 2 to d, which gives d = y + 32.\n3. Substitute y = h + 9 to d, which gives d = h + 41.\n4. Substitute h = k + 11 to d, which gives d = k + 52.\n5. Substitute k = j + 11 to d, which gives d = j + 63.\n6. Substitute j = 12 to d, which gives d = 75.\n\nThus, the final answer is d = \\boxed{75}.",
"index": 9911,
"question": "Suppose a collection of variables is related by the following definitions: v = l + 12; f = j + 20; h = k + 11; x = f + 8; i = x + 6; g = p + 19; k = j + 11; y = h + 9; s = i + 6; l = s + 8; p = y + 2; j = 12; d = g + 11. Given that j = 12, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "u + 10", "v": "q + 14", "n": "v + 7", "g": "n + 12", "s": "g + 13", "i": "s + 18", "x": "u + 17", "k": "x + 8", "d": "k + 20", "e": "d + 8", "t": "e + 15", "z": "t + 15", "u": 5}, "premises": {"u": 5}, "target": "i"}, "answer": {"steps": [["s", "g + 13", "g + 31"], ["g", "n + 12", "n + 43"], ["n", "v + 7", "v + 50"], ["v", "q + 14", "q + 64"], ["q", "u + 10", "u + 74"], ["u", 5, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"u": 5}, "is_reverse": true}} | 9,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = u + 17; d = k + 20; u = 5; n = v + 7; k = x + 8; s = g + 13; q = u + 10; e = d + 8; z = t + 15; v = q + 14; t = e + 15; i = s + 18; g = n + 12. Given that u = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 13 to i, which gives i = g + 31.\n2. Substitute g = n + 12 to i, which gives i = n + 43.\n3. Substitute n = v + 7 to i, which gives i = v + 50.\n4. Substitute v = q + 14 to i, which gives i = q + 64.\n5. Substitute q = u + 10 to i, which gives i = u + 74.\n6. Substitute u = 5 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 9912,
"question": "Suppose a collection of variables is related by the following definitions: x = u + 17; d = k + 20; u = 5; n = v + 7; k = x + 8; s = g + 13; q = u + 10; e = d + 8; z = t + 15; v = q + 14; t = e + 15; i = s + 18; g = n + 12. Given that u = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"w": "t + 18", "h": "w + 5", "q": "h + 15", "x": "q + 4", "y": "x + 6", "n": "y + 8", "p": "t + 2", "i": "p + 14", "k": "i + 3", "s": "k + 15", "v": "s + 16", "g": "v + 1", "t": 16}, "premises": {"t": 16}, "target": "n"}, "answer": {"steps": [["y", "x + 6", "x + 14"], ["x", "q + 4", "q + 18"], ["q", "h + 15", "h + 33"], ["h", "w + 5", "w + 38"], ["w", "t + 18", "t + 56"], ["t", 16, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"t": 16}, "is_reverse": true}} | 9,913 | 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 = x + 6; p = t + 2; g = v + 1; t = 16; n = y + 8; k = i + 3; q = h + 15; w = t + 18; h = w + 5; i = p + 14; v = s + 16; x = q + 4; s = k + 15. If t = 16, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = x + 6 to n, which gives n = x + 14.\n2. Substitute x = q + 4 to n, which gives n = q + 18.\n3. Substitute q = h + 15 to n, which gives n = h + 33.\n4. Substitute h = w + 5 to n, which gives n = w + 38.\n5. Substitute w = t + 18 to n, which gives n = t + 56.\n6. Substitute t = 16 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 9913,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = x + 6; p = t + 2; g = v + 1; t = 16; n = y + 8; k = i + 3; q = h + 15; w = t + 18; h = w + 5; i = p + 14; v = s + 16; x = q + 4; s = k + 15. If t = 16, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 17", "t": "l + 7", "d": "t + 7", "u": "d + 7", "n": "u + 3", "c": "n + 6", "h": "m + 3", "g": "h + 4", "x": "g + 14", "q": "x + 2", "p": "q + 6", "j": "p + 10", "m": 1}, "premises": {"m": 1}, "target": "c"}, "answer": {"steps": [["n", "u + 3", "u + 9"], ["u", "d + 7", "d + 16"], ["d", "t + 7", "t + 23"], ["t", "l + 7", "l + 30"], ["l", "m + 17", "m + 47"], ["m", 1, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"m": 1}, "is_reverse": true}} | 9,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = 1; d = t + 7; g = h + 4; x = g + 14; p = q + 6; q = x + 2; c = n + 6; t = l + 7; u = d + 7; l = m + 17; j = p + 10; n = u + 3; h = m + 3. If m = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 3 to c, which gives c = u + 9.\n2. Substitute u = d + 7 to c, which gives c = d + 16.\n3. Substitute d = t + 7 to c, which gives c = t + 23.\n4. Substitute t = l + 7 to c, which gives c = l + 30.\n5. Substitute l = m + 17 to c, which gives c = m + 47.\n6. Substitute m = 1 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 9914,
"question": "Consider a system of variables where each variable is defined as follows: m = 1; d = t + 7; g = h + 4; x = g + 14; p = q + 6; q = x + 2; c = n + 6; t = l + 7; u = d + 7; l = m + 17; j = p + 10; n = u + 3; h = m + 3. If m = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 10", "b": "o + 7", "u": "b + 9", "h": "u + 15", "t": "h + 4", "d": "t + 17", "i": "q + 2", "v": "i + 10", "f": "v + 8", "z": "f + 20", "m": "z + 2", "g": "m + 19", "q": 10}, "premises": {"q": 10}, "target": "d"}, "answer": {"steps": [["t", "h + 4", "h + 21"], ["h", "u + 15", "u + 36"], ["u", "b + 9", "b + 45"], ["b", "o + 7", "o + 52"], ["o", "q + 10", "q + 62"], ["q", 10, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"q": 10}, "is_reverse": true}} | 9,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 2; f = v + 8; d = t + 17; h = u + 15; q = 10; o = q + 10; t = h + 4; u = b + 9; i = q + 2; g = m + 19; z = f + 20; b = o + 7; v = i + 10. Given that q = 10, 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 t = h + 4 to d, which gives d = h + 21.\n2. Substitute h = u + 15 to d, which gives d = u + 36.\n3. Substitute u = b + 9 to d, which gives d = b + 45.\n4. Substitute b = o + 7 to d, which gives d = o + 52.\n5. Substitute o = q + 10 to d, which gives d = q + 62.\n6. Substitute q = 10 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 9915,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 2; f = v + 8; d = t + 17; h = u + 15; q = 10; o = q + 10; t = h + 4; u = b + 9; i = q + 2; g = m + 19; z = f + 20; b = o + 7; v = i + 10. Given that q = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 19", "u": "q + 4", "o": "u + 14", "z": "o + 10", "t": "z + 20", "p": "t + 4", "y": "k + 10", "j": "y + 18", "r": "j + 20", "x": "r + 1", "l": "x + 17", "w": "l + 15", "k": 8}, "premises": {"k": 8}, "target": "p"}, "answer": {"steps": [["t", "z + 20", "z + 24"], ["z", "o + 10", "o + 34"], ["o", "u + 14", "u + 48"], ["u", "q + 4", "q + 52"], ["q", "k + 19", "k + 71"], ["k", 8, "79"]], "target_var_name": "p", "target_value": 79, "value_dict": {"k": 8}, "is_reverse": true}} | 9,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 4; r = j + 20; u = q + 4; z = o + 10; j = y + 18; l = x + 17; y = k + 10; w = l + 15; x = r + 1; k = 8; o = u + 14; q = k + 19; t = z + 20. If k = 8, determine 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 t = z + 20 to p, which gives p = z + 24.\n2. Substitute z = o + 10 to p, which gives p = o + 34.\n3. Substitute o = u + 14 to p, which gives p = u + 48.\n4. Substitute u = q + 4 to p, which gives p = q + 52.\n5. Substitute q = k + 19 to p, which gives p = k + 71.\n6. Substitute k = 8 to p, which gives p = 79.\n\nThus, the final answer is p = \\boxed{79}.",
"index": 9916,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 4; r = j + 20; u = q + 4; z = o + 10; j = y + 18; l = x + 17; y = k + 10; w = l + 15; x = r + 1; k = 8; o = u + 14; q = k + 19; t = z + 20. If k = 8, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 15", "d": "u + 1", "i": "d + 15", "f": "i + 8", "y": "f + 2", "w": "y + 19", "c": "x + 18", "s": "c + 10", "g": "s + 13", "l": "g + 17", "b": "l + 7", "v": "b + 8", "x": 12}, "premises": {"x": 12}, "target": "w"}, "answer": {"steps": [["y", "f + 2", "f + 21"], ["f", "i + 8", "i + 29"], ["i", "d + 15", "d + 44"], ["d", "u + 1", "u + 45"], ["u", "x + 15", "x + 60"], ["x", 12, "72"]], "target_var_name": "w", "target_value": 72, "value_dict": {"x": 12}, "is_reverse": true}} | 9,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 8; x = 12; f = i + 8; c = x + 18; i = d + 15; w = y + 19; l = g + 17; u = x + 15; d = u + 1; s = c + 10; y = f + 2; g = s + 13; b = l + 7. Given that x = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 2 to w, which gives w = f + 21.\n2. Substitute f = i + 8 to w, which gives w = i + 29.\n3. Substitute i = d + 15 to w, which gives w = d + 44.\n4. Substitute d = u + 1 to w, which gives w = u + 45.\n5. Substitute u = x + 15 to w, which gives w = x + 60.\n6. Substitute x = 12 to w, which gives w = 72.\n\nThus, the final answer is w = \\boxed{72}.",
"index": 9917,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 8; x = 12; f = i + 8; c = x + 18; i = d + 15; w = y + 19; l = g + 17; u = x + 15; d = u + 1; s = c + 10; y = f + 2; g = s + 13; b = l + 7. Given that x = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 7", "w": "t + 3", "l": "w + 19", "f": "l + 20", "s": "f + 20", "y": "s + 20", "m": "a + 17", "u": "m + 9", "v": "u + 17", "o": "v + 19", "j": "o + 15", "c": "j + 7", "a": 10}, "premises": {"a": 10}, "target": "y"}, "answer": {"steps": [["s", "f + 20", "f + 40"], ["f", "l + 20", "l + 60"], ["l", "w + 19", "w + 79"], ["w", "t + 3", "t + 82"], ["t", "a + 7", "a + 89"], ["a", 10, "99"]], "target_var_name": "y", "target_value": 99, "value_dict": {"a": 10}, "is_reverse": true}} | 9,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 15; t = a + 7; w = t + 3; l = w + 19; m = a + 17; u = m + 9; c = j + 7; s = f + 20; f = l + 20; v = u + 17; a = 10; o = v + 19; y = s + 20. If a = 10, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 20 to y, which gives y = f + 40.\n2. Substitute f = l + 20 to y, which gives y = l + 60.\n3. Substitute l = w + 19 to y, which gives y = w + 79.\n4. Substitute w = t + 3 to y, which gives y = t + 82.\n5. Substitute t = a + 7 to y, which gives y = a + 89.\n6. Substitute a = 10 to y, which gives y = 99.\n\nThus, the final answer is y = \\boxed{99}.",
"index": 9918,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = o + 15; t = a + 7; w = t + 3; l = w + 19; m = a + 17; u = m + 9; c = j + 7; s = f + 20; f = l + 20; v = u + 17; a = 10; o = v + 19; y = s + 20. If a = 10, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 17", "g": "e + 2", "p": "g + 19", "b": "p + 1", "w": "b + 10", "y": "w + 8", "s": "j + 7", "i": "s + 1", "o": "i + 19", "d": "o + 15", "k": "d + 2", "l": "k + 15", "j": 7}, "premises": {"j": 7}, "target": "y"}, "answer": {"steps": [["w", "b + 10", "b + 18"], ["b", "p + 1", "p + 19"], ["p", "g + 19", "g + 38"], ["g", "e + 2", "e + 40"], ["e", "j + 17", "j + 57"], ["j", 7, "64"]], "target_var_name": "y", "target_value": 64, "value_dict": {"j": 7}, "is_reverse": true}} | 9,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 10; e = j + 17; s = j + 7; b = p + 1; l = k + 15; d = o + 15; j = 7; g = e + 2; i = s + 1; y = w + 8; o = i + 19; k = d + 2; p = g + 19. If j = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 10 to y, which gives y = b + 18.\n2. Substitute b = p + 1 to y, which gives y = p + 19.\n3. Substitute p = g + 19 to y, which gives y = g + 38.\n4. Substitute g = e + 2 to y, which gives y = e + 40.\n5. Substitute e = j + 17 to y, which gives y = j + 57.\n6. Substitute j = 7 to y, which gives y = 64.\n\nThus, the final answer is y = \\boxed{64}.",
"index": 9919,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 10; e = j + 17; s = j + 7; b = p + 1; l = k + 15; d = o + 15; j = 7; g = e + 2; i = s + 1; y = w + 8; o = i + 19; k = d + 2; p = g + 19. If j = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 3", "m": "k + 1", "x": "m + 7", "f": "x + 13", "w": "f + 18", "c": "w + 7", "v": "l + 18", "y": "v + 20", "q": "y + 20", "d": "q + 18", "b": "d + 4", "n": "b + 11", "l": 5}, "premises": {"l": 5}, "target": "c"}, "answer": {"steps": [["w", "f + 18", "f + 25"], ["f", "x + 13", "x + 38"], ["x", "m + 7", "m + 45"], ["m", "k + 1", "k + 46"], ["k", "l + 3", "l + 49"], ["l", 5, "54"]], "target_var_name": "c", "target_value": 54, "value_dict": {"l": 5}, "is_reverse": true}} | 9,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 13; b = d + 4; y = v + 20; w = f + 18; m = k + 1; x = m + 7; v = l + 18; d = q + 18; q = y + 20; k = l + 3; n = b + 11; c = w + 7; l = 5. Given that l = 5, find 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 w = f + 18 to c, which gives c = f + 25.\n2. Substitute f = x + 13 to c, which gives c = x + 38.\n3. Substitute x = m + 7 to c, which gives c = m + 45.\n4. Substitute m = k + 1 to c, which gives c = k + 46.\n5. Substitute k = l + 3 to c, which gives c = l + 49.\n6. Substitute l = 5 to c, which gives c = 54.\n\nThus, the final answer is c = \\boxed{54}.",
"index": 9920,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 13; b = d + 4; y = v + 20; w = f + 18; m = k + 1; x = m + 7; v = l + 18; d = q + 18; q = y + 20; k = l + 3; n = b + 11; c = w + 7; l = 5. Given that l = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"l": "j + 12", "q": "l + 6", "v": "q + 3", "b": "v + 4", "o": "b + 7", "p": "o + 9", "u": "j + 20", "k": "u + 8", "i": "k + 19", "x": "i + 7", "r": "x + 16", "t": "r + 11", "j": 11}, "premises": {"j": 11}, "target": "p"}, "answer": {"steps": [["o", "b + 7", "b + 16"], ["b", "v + 4", "v + 20"], ["v", "q + 3", "q + 23"], ["q", "l + 6", "l + 29"], ["l", "j + 12", "j + 41"], ["j", 11, "52"]], "target_var_name": "p", "target_value": 52, "value_dict": {"j": 11}, "is_reverse": true}} | 9,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 8; l = j + 12; o = b + 7; t = r + 11; p = o + 9; x = i + 7; i = k + 19; v = q + 3; q = l + 6; j = 11; u = j + 20; r = x + 16; b = v + 4. If j = 11, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 7 to p, which gives p = b + 16.\n2. Substitute b = v + 4 to p, which gives p = v + 20.\n3. Substitute v = q + 3 to p, which gives p = q + 23.\n4. Substitute q = l + 6 to p, which gives p = l + 29.\n5. Substitute l = j + 12 to p, which gives p = j + 41.\n6. Substitute j = 11 to p, which gives p = 52.\n\nThus, the final answer is p = \\boxed{52}.",
"index": 9921,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = u + 8; l = j + 12; o = b + 7; t = r + 11; p = o + 9; x = i + 7; i = k + 19; v = q + 3; q = l + 6; j = 11; u = j + 20; r = x + 16; b = v + 4. If j = 11, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 12", "o": "j + 2", "l": "o + 9", "g": "l + 3", "n": "g + 18", "h": "n + 3", "p": "a + 3", "c": "p + 18", "v": "c + 13", "x": "v + 2", "e": "x + 15", "z": "e + 3", "a": 6}, "premises": {"a": 6}, "target": "h"}, "answer": {"steps": [["n", "g + 18", "g + 21"], ["g", "l + 3", "l + 24"], ["l", "o + 9", "o + 33"], ["o", "j + 2", "j + 35"], ["j", "a + 12", "a + 47"], ["a", 6, "53"]], "target_var_name": "h", "target_value": 53, "value_dict": {"a": 6}, "is_reverse": true}} | 9,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 3; c = p + 18; h = n + 3; n = g + 18; o = j + 2; p = a + 3; x = v + 2; j = a + 12; e = x + 15; z = e + 3; l = o + 9; v = c + 13; a = 6. If a = 6, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 18 to h, which gives h = g + 21.\n2. Substitute g = l + 3 to h, which gives h = l + 24.\n3. Substitute l = o + 9 to h, which gives h = o + 33.\n4. Substitute o = j + 2 to h, which gives h = j + 35.\n5. Substitute j = a + 12 to h, which gives h = a + 47.\n6. Substitute a = 6 to h, which gives h = 53.\n\nThus, the final answer is h = \\boxed{53}.",
"index": 9922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = l + 3; c = p + 18; h = n + 3; n = g + 18; o = j + 2; p = a + 3; x = v + 2; j = a + 12; e = x + 15; z = e + 3; l = o + 9; v = c + 13; a = 6. If a = 6, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"f": "s + 10", "u": "f + 9", "t": "u + 20", "b": "t + 12", "o": "b + 15", "a": "o + 11", "r": "s + 10", "q": "r + 3", "l": "q + 20", "m": "l + 14", "j": "m + 13", "k": "j + 18", "s": 15}, "premises": {"s": 15}, "target": "a"}, "answer": {"steps": [["o", "b + 15", "b + 26"], ["b", "t + 12", "t + 38"], ["t", "u + 20", "u + 58"], ["u", "f + 9", "f + 67"], ["f", "s + 10", "s + 77"], ["s", 15, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"s": 15}, "is_reverse": true}} | 9,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = q + 20; o = b + 15; m = l + 14; u = f + 9; k = j + 18; b = t + 12; j = m + 13; s = 15; r = s + 10; t = u + 20; f = s + 10; q = r + 3; a = o + 11. If s = 15, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 15 to a, which gives a = b + 26.\n2. Substitute b = t + 12 to a, which gives a = t + 38.\n3. Substitute t = u + 20 to a, which gives a = u + 58.\n4. Substitute u = f + 9 to a, which gives a = f + 67.\n5. Substitute f = s + 10 to a, which gives a = s + 77.\n6. Substitute s = 15 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 9923,
"question": "Consider a system of variables where each variable is defined as follows: l = q + 20; o = b + 15; m = l + 14; u = f + 9; k = j + 18; b = t + 12; j = m + 13; s = 15; r = s + 10; t = u + 20; f = s + 10; q = r + 3; a = o + 11. If s = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 2", "f": "o + 16", "t": "f + 3", "p": "t + 14", "i": "p + 10", "e": "i + 2", "b": "c + 11", "d": "b + 8", "k": "d + 2", "m": "k + 15", "j": "m + 19", "s": "j + 16", "c": 9}, "premises": {"c": 9}, "target": "e"}, "answer": {"steps": [["i", "p + 10", "p + 12"], ["p", "t + 14", "t + 26"], ["t", "f + 3", "f + 29"], ["f", "o + 16", "o + 45"], ["o", "c + 2", "c + 47"], ["c", 9, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"c": 9}, "is_reverse": true}} | 9,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = b + 8; t = f + 3; e = i + 2; p = t + 14; i = p + 10; j = m + 19; o = c + 2; k = d + 2; m = k + 15; s = j + 16; b = c + 11; f = o + 16; c = 9. Given that c = 9, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 10 to e, which gives e = p + 12.\n2. Substitute p = t + 14 to e, which gives e = t + 26.\n3. Substitute t = f + 3 to e, which gives e = f + 29.\n4. Substitute f = o + 16 to e, which gives e = o + 45.\n5. Substitute o = c + 2 to e, which gives e = c + 47.\n6. Substitute c = 9 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 9924,
"question": "Suppose a collection of variables is related by the following definitions: d = b + 8; t = f + 3; e = i + 2; p = t + 14; i = p + 10; j = m + 19; o = c + 2; k = d + 2; m = k + 15; s = j + 16; b = c + 11; f = o + 16; c = 9. Given that c = 9, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 2", "d": "e + 11", "l": "d + 14", "t": "l + 8", "m": "t + 10", "f": "m + 6", "n": "k + 6", "z": "n + 8", "v": "z + 18", "b": "v + 11", "q": "b + 6", "h": "q + 13", "k": 13}, "premises": {"k": 13}, "target": "f"}, "answer": {"steps": [["m", "t + 10", "t + 16"], ["t", "l + 8", "l + 24"], ["l", "d + 14", "d + 38"], ["d", "e + 11", "e + 49"], ["e", "k + 2", "k + 51"], ["k", 13, "64"]], "target_var_name": "f", "target_value": 64, "value_dict": {"k": 13}, "is_reverse": true}} | 9,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 11; m = t + 10; z = n + 8; n = k + 6; d = e + 11; e = k + 2; v = z + 18; l = d + 14; h = q + 13; f = m + 6; t = l + 8; q = b + 6; k = 13. If k = 13, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 10 to f, which gives f = t + 16.\n2. Substitute t = l + 8 to f, which gives f = l + 24.\n3. Substitute l = d + 14 to f, which gives f = d + 38.\n4. Substitute d = e + 11 to f, which gives f = e + 49.\n5. Substitute e = k + 2 to f, which gives f = k + 51.\n6. Substitute k = 13 to f, which gives f = 64.\n\nThus, the final answer is f = \\boxed{64}.",
"index": 9925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = v + 11; m = t + 10; z = n + 8; n = k + 6; d = e + 11; e = k + 2; v = z + 18; l = d + 14; h = q + 13; f = m + 6; t = l + 8; q = b + 6; k = 13. If k = 13, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "i + 4", "t": "p + 1", "e": "t + 4", "q": "e + 1", "l": "q + 5", "v": "l + 4", "b": "i + 14", "u": "b + 14", "k": "u + 2", "a": "k + 13", "o": "a + 4", "r": "o + 8", "i": 8}, "premises": {"i": 8}, "target": "v"}, "answer": {"steps": [["l", "q + 5", "q + 9"], ["q", "e + 1", "e + 10"], ["e", "t + 4", "t + 14"], ["t", "p + 1", "p + 15"], ["p", "i + 4", "i + 19"], ["i", 8, "27"]], "target_var_name": "v", "target_value": 27, "value_dict": {"i": 8}, "is_reverse": true}} | 9,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 1; o = a + 4; k = u + 2; v = l + 4; p = i + 4; i = 8; e = t + 4; a = k + 13; r = o + 8; t = p + 1; b = i + 14; u = b + 14; l = q + 5. If i = 8, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 27,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 5 to v, which gives v = q + 9.\n2. Substitute q = e + 1 to v, which gives v = e + 10.\n3. Substitute e = t + 4 to v, which gives v = t + 14.\n4. Substitute t = p + 1 to v, which gives v = p + 15.\n5. Substitute p = i + 4 to v, which gives v = i + 19.\n6. Substitute i = 8 to v, which gives v = 27.\n\nThus, the final answer is v = \\boxed{27}.",
"index": 9926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = e + 1; o = a + 4; k = u + 2; v = l + 4; p = i + 4; i = 8; e = t + 4; a = k + 13; r = o + 8; t = p + 1; b = i + 14; u = b + 14; l = q + 5. If i = 8, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 2", "w": "o + 13", "b": "w + 16", "u": "b + 5", "m": "u + 16", "n": "m + 14", "y": "d + 19", "r": "y + 14", "p": "r + 3", "j": "p + 17", "s": "j + 13", "t": "s + 17", "d": 18}, "premises": {"d": 18}, "target": "n"}, "answer": {"steps": [["m", "u + 16", "u + 30"], ["u", "b + 5", "b + 35"], ["b", "w + 16", "w + 51"], ["w", "o + 13", "o + 64"], ["o", "d + 2", "d + 66"], ["d", 18, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"d": 18}, "is_reverse": true}} | 9,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 13; t = s + 17; s = j + 13; p = r + 3; o = d + 2; b = w + 16; n = m + 14; u = b + 5; r = y + 14; m = u + 16; j = p + 17; y = d + 19; d = 18. If d = 18, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 16 to n, which gives n = u + 30.\n2. Substitute u = b + 5 to n, which gives n = b + 35.\n3. Substitute b = w + 16 to n, which gives n = w + 51.\n4. Substitute w = o + 13 to n, which gives n = o + 64.\n5. Substitute o = d + 2 to n, which gives n = d + 66.\n6. Substitute d = 18 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 9927,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = o + 13; t = s + 17; s = j + 13; p = r + 3; o = d + 2; b = w + 16; n = m + 14; u = b + 5; r = y + 14; m = u + 16; j = p + 17; y = d + 19; d = 18. If d = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 1", "d": "s + 1", "n": "d + 12", "x": "n + 16", "u": "x + 2", "t": "u + 11", "y": "e + 17", "p": "y + 3", "i": "p + 7", "h": "i + 18", "f": "h + 7", "v": "f + 6", "e": 5}, "premises": {"e": 5}, "target": "t"}, "answer": {"steps": [["u", "x + 2", "x + 13"], ["x", "n + 16", "n + 29"], ["n", "d + 12", "d + 41"], ["d", "s + 1", "s + 42"], ["s", "e + 1", "e + 43"], ["e", 5, "48"]], "target_var_name": "t", "target_value": 48, "value_dict": {"e": 5}, "is_reverse": true}} | 9,928 | 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 = h + 7; v = f + 6; h = i + 18; i = p + 7; s = e + 1; y = e + 17; n = d + 12; u = x + 2; t = u + 11; d = s + 1; x = n + 16; e = 5; p = y + 3. If e = 5, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = x + 2 to t, which gives t = x + 13.\n2. Substitute x = n + 16 to t, which gives t = n + 29.\n3. Substitute n = d + 12 to t, which gives t = d + 41.\n4. Substitute d = s + 1 to t, which gives t = s + 42.\n5. Substitute s = e + 1 to t, which gives t = e + 43.\n6. Substitute e = 5 to t, which gives t = 48.\n\nThus, the final answer is t = \\boxed{48}.",
"index": 9928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 7; v = f + 6; h = i + 18; i = p + 7; s = e + 1; y = e + 17; n = d + 12; u = x + 2; t = u + 11; d = s + 1; x = n + 16; e = 5; p = y + 3. If e = 5, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 2", "w": "s + 16", "k": "w + 11", "t": "k + 15", "p": "t + 14", "b": "p + 20", "o": "r + 5", "f": "o + 16", "a": "f + 11", "y": "a + 13", "u": "y + 2", "l": "u + 4", "r": 12}, "premises": {"r": 12}, "target": "b"}, "answer": {"steps": [["p", "t + 14", "t + 34"], ["t", "k + 15", "k + 49"], ["k", "w + 11", "w + 60"], ["w", "s + 16", "s + 76"], ["s", "r + 2", "r + 78"], ["r", 12, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"r": 12}, "is_reverse": true}} | 9,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = 12; w = s + 16; l = u + 4; y = a + 13; a = f + 11; s = r + 2; b = p + 20; p = t + 14; t = k + 15; u = y + 2; o = r + 5; f = o + 16; k = w + 11. If r = 12, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 14 to b, which gives b = t + 34.\n2. Substitute t = k + 15 to b, which gives b = k + 49.\n3. Substitute k = w + 11 to b, which gives b = w + 60.\n4. Substitute w = s + 16 to b, which gives b = s + 76.\n5. Substitute s = r + 2 to b, which gives b = r + 78.\n6. Substitute r = 12 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 9929,
"question": "Consider a system of variables where each variable is defined as follows: r = 12; w = s + 16; l = u + 4; y = a + 13; a = f + 11; s = r + 2; b = p + 20; p = t + 14; t = k + 15; u = y + 2; o = r + 5; f = o + 16; k = w + 11. If r = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "g + 12", "a": "v + 11", "q": "a + 4", "e": "q + 5", "y": "e + 1", "i": "y + 1", "h": "g + 9", "d": "h + 4", "c": "d + 11", "l": "c + 12", "x": "l + 3", "t": "x + 17", "g": 11}, "premises": {"g": 11}, "target": "i"}, "answer": {"steps": [["y", "e + 1", "e + 2"], ["e", "q + 5", "q + 7"], ["q", "a + 4", "a + 11"], ["a", "v + 11", "v + 22"], ["v", "g + 12", "g + 34"], ["g", 11, "45"]], "target_var_name": "i", "target_value": 45, "value_dict": {"g": 11}, "is_reverse": true}} | 9,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 4; v = g + 12; c = d + 11; l = c + 12; a = v + 11; i = y + 1; y = e + 1; e = q + 5; x = l + 3; h = g + 9; t = x + 17; q = a + 4; g = 11. If g = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = e + 1 to i, which gives i = e + 2.\n2. Substitute e = q + 5 to i, which gives i = q + 7.\n3. Substitute q = a + 4 to i, which gives i = a + 11.\n4. Substitute a = v + 11 to i, which gives i = v + 22.\n5. Substitute v = g + 12 to i, which gives i = g + 34.\n6. Substitute g = 11 to i, which gives i = 45.\n\nThus, the final answer is i = \\boxed{45}.",
"index": 9930,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 4; v = g + 12; c = d + 11; l = c + 12; a = v + 11; i = y + 1; y = e + 1; e = q + 5; x = l + 3; h = g + 9; t = x + 17; q = a + 4; g = 11. If g = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 7", "a": "x + 2", "q": "a + 3", "v": "q + 12", "y": "v + 13", "i": "y + 13", "d": "p + 12", "z": "d + 4", "t": "z + 13", "e": "t + 10", "g": "e + 12", "f": "g + 13", "p": 20}, "premises": {"p": 20}, "target": "i"}, "answer": {"steps": [["y", "v + 13", "v + 26"], ["v", "q + 12", "q + 38"], ["q", "a + 3", "a + 41"], ["a", "x + 2", "x + 43"], ["x", "p + 7", "p + 50"], ["p", 20, "70"]], "target_var_name": "i", "target_value": 70, "value_dict": {"p": 20}, "is_reverse": true}} | 9,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = t + 10; g = e + 12; a = x + 2; t = z + 13; p = 20; y = v + 13; d = p + 12; x = p + 7; v = q + 12; i = y + 13; f = g + 13; q = a + 3; z = d + 4. Given that p = 20, 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 y = v + 13 to i, which gives i = v + 26.\n2. Substitute v = q + 12 to i, which gives i = q + 38.\n3. Substitute q = a + 3 to i, which gives i = a + 41.\n4. Substitute a = x + 2 to i, which gives i = x + 43.\n5. Substitute x = p + 7 to i, which gives i = p + 50.\n6. Substitute p = 20 to i, which gives i = 70.\n\nThus, the final answer is i = \\boxed{70}.",
"index": 9931,
"question": "Suppose a collection of variables is related by the following definitions: e = t + 10; g = e + 12; a = x + 2; t = z + 13; p = 20; y = v + 13; d = p + 12; x = p + 7; v = q + 12; i = y + 13; f = g + 13; q = a + 3; z = d + 4. Given that p = 20, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 16", "m": "p + 19", "d": "m + 3", "e": "d + 10", "t": "e + 6", "i": "t + 5", "n": "a + 1", "v": "n + 20", "l": "v + 6", "y": "l + 16", "s": "y + 12", "k": "s + 14", "a": 5}, "premises": {"a": 5}, "target": "i"}, "answer": {"steps": [["t", "e + 6", "e + 11"], ["e", "d + 10", "d + 21"], ["d", "m + 3", "m + 24"], ["m", "p + 19", "p + 43"], ["p", "a + 16", "a + 59"], ["a", 5, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"a": 5}, "is_reverse": true}} | 9,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 16; m = p + 19; k = s + 14; l = v + 6; d = m + 3; e = d + 10; i = t + 5; n = a + 1; a = 5; s = y + 12; t = e + 6; v = n + 20; p = a + 16. Given that a = 5, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = e + 6 to i, which gives i = e + 11.\n2. Substitute e = d + 10 to i, which gives i = d + 21.\n3. Substitute d = m + 3 to i, which gives i = m + 24.\n4. Substitute m = p + 19 to i, which gives i = p + 43.\n5. Substitute p = a + 16 to i, which gives i = a + 59.\n6. Substitute a = 5 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 9932,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 16; m = p + 19; k = s + 14; l = v + 6; d = m + 3; e = d + 10; i = t + 5; n = a + 1; a = 5; s = y + 12; t = e + 6; v = n + 20; p = a + 16. Given that a = 5, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 1", "s": "n + 6", "j": "s + 8", "w": "j + 18", "r": "w + 9", "u": "r + 12", "c": "b + 2", "e": "c + 4", "h": "e + 14", "v": "h + 16", "m": "v + 11", "t": "m + 2", "b": 13}, "premises": {"b": 13}, "target": "u"}, "answer": {"steps": [["r", "w + 9", "w + 21"], ["w", "j + 18", "j + 39"], ["j", "s + 8", "s + 47"], ["s", "n + 6", "n + 53"], ["n", "b + 1", "b + 54"], ["b", 13, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"b": 13}, "is_reverse": true}} | 9,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 8; w = j + 18; t = m + 2; n = b + 1; e = c + 4; r = w + 9; b = 13; c = b + 2; u = r + 12; h = e + 14; v = h + 16; m = v + 11; s = n + 6. If b = 13, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = w + 9 to u, which gives u = w + 21.\n2. Substitute w = j + 18 to u, which gives u = j + 39.\n3. Substitute j = s + 8 to u, which gives u = s + 47.\n4. Substitute s = n + 6 to u, which gives u = n + 53.\n5. Substitute n = b + 1 to u, which gives u = b + 54.\n6. Substitute b = 13 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 9933,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 8; w = j + 18; t = m + 2; n = b + 1; e = c + 4; r = w + 9; b = 13; c = b + 2; u = r + 12; h = e + 14; v = h + 16; m = v + 11; s = n + 6. If b = 13, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 3", "r": "i + 5", "o": "r + 17", "p": "o + 16", "h": "p + 6", "b": "h + 19", "x": "d + 8", "l": "x + 17", "v": "l + 13", "m": "v + 5", "u": "m + 13", "n": "u + 12", "d": 5}, "premises": {"d": 5}, "target": "b"}, "answer": {"steps": [["h", "p + 6", "p + 25"], ["p", "o + 16", "o + 41"], ["o", "r + 17", "r + 58"], ["r", "i + 5", "i + 63"], ["i", "d + 3", "d + 66"], ["d", 5, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"d": 5}, "is_reverse": true}} | 9,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 6; v = l + 13; r = i + 5; x = d + 8; d = 5; n = u + 12; p = o + 16; b = h + 19; o = r + 17; m = v + 5; l = x + 17; u = m + 13; i = d + 3. Given that d = 5, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = p + 6 to b, which gives b = p + 25.\n2. Substitute p = o + 16 to b, which gives b = o + 41.\n3. Substitute o = r + 17 to b, which gives b = r + 58.\n4. Substitute r = i + 5 to b, which gives b = i + 63.\n5. Substitute i = d + 3 to b, which gives b = d + 66.\n6. Substitute d = 5 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 9934,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 6; v = l + 13; r = i + 5; x = d + 8; d = 5; n = u + 12; p = o + 16; b = h + 19; o = r + 17; m = v + 5; l = x + 17; u = m + 13; i = d + 3. Given that d = 5, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 15", "t": "j + 7", "w": "t + 7", "i": "w + 1", "n": "i + 14", "k": "n + 13", "z": "v + 14", "b": "z + 4", "a": "b + 12", "l": "a + 19", "c": "l + 18", "q": "c + 1", "v": 16}, "premises": {"v": 16}, "target": "k"}, "answer": {"steps": [["n", "i + 14", "i + 27"], ["i", "w + 1", "w + 28"], ["w", "t + 7", "t + 35"], ["t", "j + 7", "j + 42"], ["j", "v + 15", "v + 57"], ["v", 16, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"v": 16}, "is_reverse": true}} | 9,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = t + 7; k = n + 13; b = z + 4; q = c + 1; c = l + 18; i = w + 1; j = v + 15; z = v + 14; t = j + 7; a = b + 12; n = i + 14; v = 16; l = a + 19. Given that v = 16, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = i + 14 to k, which gives k = i + 27.\n2. Substitute i = w + 1 to k, which gives k = w + 28.\n3. Substitute w = t + 7 to k, which gives k = t + 35.\n4. Substitute t = j + 7 to k, which gives k = j + 42.\n5. Substitute j = v + 15 to k, which gives k = v + 57.\n6. Substitute v = 16 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 9935,
"question": "Suppose a collection of variables is related by the following definitions: w = t + 7; k = n + 13; b = z + 4; q = c + 1; c = l + 18; i = w + 1; j = v + 15; z = v + 14; t = j + 7; a = b + 12; n = i + 14; v = 16; l = a + 19. Given that v = 16, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"p": "c + 4", "o": "p + 10", "d": "o + 7", "x": "d + 8", "r": "x + 3", "k": "r + 8", "s": "c + 18", "g": "s + 16", "j": "g + 9", "e": "j + 20", "b": "e + 9", "w": "b + 13", "c": 10}, "premises": {"c": 10}, "target": "k"}, "answer": {"steps": [["r", "x + 3", "x + 11"], ["x", "d + 8", "d + 19"], ["d", "o + 7", "o + 26"], ["o", "p + 10", "p + 36"], ["p", "c + 4", "c + 40"], ["c", 10, "50"]], "target_var_name": "k", "target_value": 50, "value_dict": {"c": 10}, "is_reverse": true}} | 9,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = s + 16; o = p + 10; w = b + 13; b = e + 9; k = r + 8; s = c + 18; e = j + 20; r = x + 3; x = d + 8; j = g + 9; p = c + 4; d = o + 7; c = 10. Given that c = 10, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 3 to k, which gives k = x + 11.\n2. Substitute x = d + 8 to k, which gives k = d + 19.\n3. Substitute d = o + 7 to k, which gives k = o + 26.\n4. Substitute o = p + 10 to k, which gives k = p + 36.\n5. Substitute p = c + 4 to k, which gives k = c + 40.\n6. Substitute c = 10 to k, which gives k = 50.\n\nThus, the final answer is k = \\boxed{50}.",
"index": 9936,
"question": "Suppose a collection of variables is related by the following definitions: g = s + 16; o = p + 10; w = b + 13; b = e + 9; k = r + 8; s = c + 18; e = j + 20; r = x + 3; x = d + 8; j = g + 9; p = c + 4; d = o + 7; c = 10. Given that c = 10, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 20", "g": "f + 15", "d": "g + 20", "t": "d + 4", "u": "t + 3", "b": "u + 6", "v": "k + 12", "c": "v + 17", "r": "c + 14", "j": "r + 16", "e": "j + 16", "h": "e + 19", "k": 5}, "premises": {"k": 5}, "target": "b"}, "answer": {"steps": [["u", "t + 3", "t + 9"], ["t", "d + 4", "d + 13"], ["d", "g + 20", "g + 33"], ["g", "f + 15", "f + 48"], ["f", "k + 20", "k + 68"], ["k", 5, "73"]], "target_var_name": "b", "target_value": 73, "value_dict": {"k": 5}, "is_reverse": true}} | 9,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = t + 3; e = j + 16; k = 5; h = e + 19; v = k + 12; j = r + 16; t = d + 4; b = u + 6; d = g + 20; r = c + 14; c = v + 17; f = k + 20; g = f + 15. If k = 5, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 3 to b, which gives b = t + 9.\n2. Substitute t = d + 4 to b, which gives b = d + 13.\n3. Substitute d = g + 20 to b, which gives b = g + 33.\n4. Substitute g = f + 15 to b, which gives b = f + 48.\n5. Substitute f = k + 20 to b, which gives b = k + 68.\n6. Substitute k = 5 to b, which gives b = 73.\n\nThus, the final answer is b = \\boxed{73}.",
"index": 9937,
"question": "Consider a system of variables where each variable is defined as follows: u = t + 3; e = j + 16; k = 5; h = e + 19; v = k + 12; j = r + 16; t = d + 4; b = u + 6; d = g + 20; r = c + 14; c = v + 17; f = k + 20; g = f + 15. If k = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"e": "f + 2", "z": "e + 19", "u": "z + 15", "n": "u + 20", "v": "n + 10", "w": "v + 11", "a": "f + 6", "d": "a + 16", "r": "d + 11", "p": "r + 20", "l": "p + 19", "h": "l + 10", "f": 5}, "premises": {"f": 5}, "target": "w"}, "answer": {"steps": [["v", "n + 10", "n + 21"], ["n", "u + 20", "u + 41"], ["u", "z + 15", "z + 56"], ["z", "e + 19", "e + 75"], ["e", "f + 2", "f + 77"], ["f", 5, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"f": 5}, "is_reverse": true}} | 9,938 | 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 = 5; l = p + 19; e = f + 2; a = f + 6; d = a + 16; h = l + 10; r = d + 11; n = u + 20; v = n + 10; p = r + 20; z = e + 19; u = z + 15; w = v + 11. If f = 5, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 10 to w, which gives w = n + 21.\n2. Substitute n = u + 20 to w, which gives w = u + 41.\n3. Substitute u = z + 15 to w, which gives w = z + 56.\n4. Substitute z = e + 19 to w, which gives w = e + 75.\n5. Substitute e = f + 2 to w, which gives w = f + 77.\n6. Substitute f = 5 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 9938,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 5; l = p + 19; e = f + 2; a = f + 6; d = a + 16; h = l + 10; r = d + 11; n = u + 20; v = n + 10; p = r + 20; z = e + 19; u = z + 15; w = v + 11. If f = 5, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 16", "u": "a + 15", "i": "u + 3", "c": "i + 16", "q": "c + 1", "s": "q + 16", "r": "x + 14", "o": "r + 3", "n": "o + 9", "m": "n + 18", "v": "m + 10", "z": "v + 2", "x": 16}, "premises": {"x": 16}, "target": "s"}, "answer": {"steps": [["q", "c + 1", "c + 17"], ["c", "i + 16", "i + 33"], ["i", "u + 3", "u + 36"], ["u", "a + 15", "a + 51"], ["a", "x + 16", "x + 67"], ["x", 16, "83"]], "target_var_name": "s", "target_value": 83, "value_dict": {"x": 16}, "is_reverse": true}} | 9,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = n + 18; n = o + 9; x = 16; z = v + 2; v = m + 10; i = u + 3; o = r + 3; q = c + 1; c = i + 16; u = a + 15; s = q + 16; r = x + 14; a = x + 16. Given that x = 16, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = c + 1 to s, which gives s = c + 17.\n2. Substitute c = i + 16 to s, which gives s = i + 33.\n3. Substitute i = u + 3 to s, which gives s = u + 36.\n4. Substitute u = a + 15 to s, which gives s = a + 51.\n5. Substitute a = x + 16 to s, which gives s = x + 67.\n6. Substitute x = 16 to s, which gives s = 83.\n\nThus, the final answer is s = \\boxed{83}.",
"index": 9939,
"question": "Suppose a collection of variables is related by the following definitions: m = n + 18; n = o + 9; x = 16; z = v + 2; v = m + 10; i = u + 3; o = r + 3; q = c + 1; c = i + 16; u = a + 15; s = q + 16; r = x + 14; a = x + 16. Given that x = 16, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"x": "p + 15", "q": "x + 19", "o": "q + 17", "m": "o + 7", "b": "m + 6", "g": "b + 6", "n": "p + 11", "k": "n + 6", "u": "k + 16", "w": "u + 8", "v": "w + 12", "a": "v + 5", "p": 11}, "premises": {"p": 11}, "target": "g"}, "answer": {"steps": [["b", "m + 6", "m + 12"], ["m", "o + 7", "o + 19"], ["o", "q + 17", "q + 36"], ["q", "x + 19", "x + 55"], ["x", "p + 15", "p + 70"], ["p", 11, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"p": 11}, "is_reverse": true}} | 9,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 11; u = k + 16; m = o + 7; a = v + 5; g = b + 6; v = w + 12; k = n + 6; w = u + 8; b = m + 6; q = x + 19; o = q + 17; p = 11; x = p + 15. If p = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 6 to g, which gives g = m + 12.\n2. Substitute m = o + 7 to g, which gives g = o + 19.\n3. Substitute o = q + 17 to g, which gives g = q + 36.\n4. Substitute q = x + 19 to g, which gives g = x + 55.\n5. Substitute x = p + 15 to g, which gives g = p + 70.\n6. Substitute p = 11 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 9940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = p + 11; u = k + 16; m = o + 7; a = v + 5; g = b + 6; v = w + 12; k = n + 6; w = u + 8; b = m + 6; q = x + 19; o = q + 17; p = 11; x = p + 15. If p = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"h": "r + 20", "j": "h + 13", "g": "j + 13", "a": "g + 1", "t": "a + 13", "d": "t + 2", "z": "r + 15", "n": "z + 2", "v": "n + 7", "w": "v + 4", "x": "w + 1", "k": "x + 15", "r": 20}, "premises": {"r": 20}, "target": "d"}, "answer": {"steps": [["t", "a + 13", "a + 15"], ["a", "g + 1", "g + 16"], ["g", "j + 13", "j + 29"], ["j", "h + 13", "h + 42"], ["h", "r + 20", "r + 62"], ["r", 20, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"r": 20}, "is_reverse": true}} | 9,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = r + 15; h = r + 20; n = z + 2; w = v + 4; t = a + 13; v = n + 7; x = w + 1; d = t + 2; a = g + 1; r = 20; g = j + 13; j = h + 13; k = x + 15. If r = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = a + 13 to d, which gives d = a + 15.\n2. Substitute a = g + 1 to d, which gives d = g + 16.\n3. Substitute g = j + 13 to d, which gives d = j + 29.\n4. Substitute j = h + 13 to d, which gives d = h + 42.\n5. Substitute h = r + 20 to d, which gives d = r + 62.\n6. Substitute r = 20 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 9941,
"question": "Consider a system of variables where each variable is defined as follows: z = r + 15; h = r + 20; n = z + 2; w = v + 4; t = a + 13; v = n + 7; x = w + 1; d = t + 2; a = g + 1; r = 20; g = j + 13; j = h + 13; k = x + 15. If r = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 19", "r": "y + 7", "k": "r + 9", "d": "k + 15", "u": "d + 4", "b": "u + 10", "n": "f + 7", "q": "n + 10", "o": "q + 10", "z": "o + 9", "w": "z + 18", "t": "w + 19", "f": 12}, "premises": {"f": 12}, "target": "b"}, "answer": {"steps": [["u", "d + 4", "d + 14"], ["d", "k + 15", "k + 29"], ["k", "r + 9", "r + 38"], ["r", "y + 7", "y + 45"], ["y", "f + 19", "f + 64"], ["f", 12, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"f": 12}, "is_reverse": true}} | 9,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 12; b = u + 10; r = y + 7; n = f + 7; z = o + 9; q = n + 10; k = r + 9; y = f + 19; u = d + 4; t = w + 19; d = k + 15; w = z + 18; o = q + 10. Given that f = 12, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 4 to b, which gives b = d + 14.\n2. Substitute d = k + 15 to b, which gives b = k + 29.\n3. Substitute k = r + 9 to b, which gives b = r + 38.\n4. Substitute r = y + 7 to b, which gives b = y + 45.\n5. Substitute y = f + 19 to b, which gives b = f + 64.\n6. Substitute f = 12 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 9942,
"question": "Suppose a collection of variables is related by the following definitions: f = 12; b = u + 10; r = y + 7; n = f + 7; z = o + 9; q = n + 10; k = r + 9; y = f + 19; u = d + 4; t = w + 19; d = k + 15; w = z + 18; o = q + 10. Given that f = 12, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 8", "t": "p + 10", "e": "t + 14", "a": "e + 5", "s": "a + 6", "i": "s + 14", "f": "k + 5", "b": "f + 13", "z": "b + 20", "j": "z + 19", "d": "j + 18", "u": "d + 2", "k": 1}, "premises": {"k": 1}, "target": "i"}, "answer": {"steps": [["s", "a + 6", "a + 20"], ["a", "e + 5", "e + 25"], ["e", "t + 14", "t + 39"], ["t", "p + 10", "p + 49"], ["p", "k + 8", "k + 57"], ["k", 1, "58"]], "target_var_name": "i", "target_value": 58, "value_dict": {"k": 1}, "is_reverse": true}} | 9,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 1; f = k + 5; t = p + 10; b = f + 13; i = s + 14; s = a + 6; p = k + 8; u = d + 2; d = j + 18; e = t + 14; z = b + 20; j = z + 19; a = e + 5. If k = 1, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 6 to i, which gives i = a + 20.\n2. Substitute a = e + 5 to i, which gives i = e + 25.\n3. Substitute e = t + 14 to i, which gives i = t + 39.\n4. Substitute t = p + 10 to i, which gives i = p + 49.\n5. Substitute p = k + 8 to i, which gives i = k + 57.\n6. Substitute k = 1 to i, which gives i = 58.\n\nThus, the final answer is i = \\boxed{58}.",
"index": 9943,
"question": "Consider a system of variables where each variable is defined as follows: k = 1; f = k + 5; t = p + 10; b = f + 13; i = s + 14; s = a + 6; p = k + 8; u = d + 2; d = j + 18; e = t + 14; z = b + 20; j = z + 19; a = e + 5. If k = 1, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 1", "v": "u + 16", "z": "v + 6", "a": "z + 8", "w": "a + 9", "d": "w + 2", "e": "m + 8", "l": "e + 3", "i": "l + 3", "n": "i + 13", "k": "n + 18", "y": "k + 2", "m": 16}, "premises": {"m": 16}, "target": "d"}, "answer": {"steps": [["w", "a + 9", "a + 11"], ["a", "z + 8", "z + 19"], ["z", "v + 6", "v + 25"], ["v", "u + 16", "u + 41"], ["u", "m + 1", "m + 42"], ["m", 16, "58"]], "target_var_name": "d", "target_value": 58, "value_dict": {"m": 16}, "is_reverse": true}} | 9,944 | 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 + 18; e = m + 8; y = k + 2; m = 16; i = l + 3; v = u + 16; w = a + 9; u = m + 1; n = i + 13; d = w + 2; l = e + 3; z = v + 6; a = z + 8. If m = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 9 to d, which gives d = a + 11.\n2. Substitute a = z + 8 to d, which gives d = z + 19.\n3. Substitute z = v + 6 to d, which gives d = v + 25.\n4. Substitute v = u + 16 to d, which gives d = u + 41.\n5. Substitute u = m + 1 to d, which gives d = m + 42.\n6. Substitute m = 16 to d, which gives d = 58.\n\nThus, the final answer is d = \\boxed{58}.",
"index": 9944,
"question": "Consider a system of variables where each variable is defined as follows: k = n + 18; e = m + 8; y = k + 2; m = 16; i = l + 3; v = u + 16; w = a + 9; u = m + 1; n = i + 13; d = w + 2; l = e + 3; z = v + 6; a = z + 8. If m = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 20", "r": "w + 1", "q": "r + 12", "v": "q + 3", "e": "v + 18", "g": "e + 1", "m": "u + 6", "h": "m + 6", "k": "h + 10", "b": "k + 15", "i": "b + 1", "f": "i + 13", "u": 11}, "premises": {"u": 11}, "target": "g"}, "answer": {"steps": [["e", "v + 18", "v + 19"], ["v", "q + 3", "q + 22"], ["q", "r + 12", "r + 34"], ["r", "w + 1", "w + 35"], ["w", "u + 20", "u + 55"], ["u", 11, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"u": 11}, "is_reverse": true}} | 9,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 1; m = u + 6; i = b + 1; u = 11; w = u + 20; r = w + 1; h = m + 6; v = q + 3; f = i + 13; e = v + 18; k = h + 10; q = r + 12; b = k + 15. Given that u = 11, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 18 to g, which gives g = v + 19.\n2. Substitute v = q + 3 to g, which gives g = q + 22.\n3. Substitute q = r + 12 to g, which gives g = r + 34.\n4. Substitute r = w + 1 to g, which gives g = w + 35.\n5. Substitute w = u + 20 to g, which gives g = u + 55.\n6. Substitute u = 11 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 9945,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 1; m = u + 6; i = b + 1; u = 11; w = u + 20; r = w + 1; h = m + 6; v = q + 3; f = i + 13; e = v + 18; k = h + 10; q = r + 12; b = k + 15. Given that u = 11, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 5", "v": "w + 1", "q": "v + 13", "o": "q + 7", "m": "o + 12", "a": "m + 10", "g": "i + 10", "l": "g + 6", "y": "l + 11", "x": "y + 11", "n": "x + 13", "p": "n + 14", "i": 18}, "premises": {"i": 18}, "target": "a"}, "answer": {"steps": [["m", "o + 12", "o + 22"], ["o", "q + 7", "q + 29"], ["q", "v + 13", "v + 42"], ["v", "w + 1", "w + 43"], ["w", "i + 5", "i + 48"], ["i", 18, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"i": 18}, "is_reverse": true}} | 9,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = l + 11; n = x + 13; g = i + 10; i = 18; x = y + 11; l = g + 6; m = o + 12; o = q + 7; v = w + 1; p = n + 14; w = i + 5; a = m + 10; q = v + 13. Given that i = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = o + 12 to a, which gives a = o + 22.\n2. Substitute o = q + 7 to a, which gives a = q + 29.\n3. Substitute q = v + 13 to a, which gives a = v + 42.\n4. Substitute v = w + 1 to a, which gives a = w + 43.\n5. Substitute w = i + 5 to a, which gives a = i + 48.\n6. Substitute i = 18 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 9946,
"question": "Suppose a collection of variables is related by the following definitions: y = l + 11; n = x + 13; g = i + 10; i = 18; x = y + 11; l = g + 6; m = o + 12; o = q + 7; v = w + 1; p = n + 14; w = i + 5; a = m + 10; q = v + 13. Given that i = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"x": "y + 20", "m": "x + 1", "f": "m + 15", "t": "f + 19", "j": "t + 7", "b": "j + 4", "q": "y + 18", "d": "q + 6", "e": "d + 2", "v": "e + 10", "s": "v + 20", "n": "s + 19", "y": 9}, "premises": {"y": 9}, "target": "b"}, "answer": {"steps": [["j", "t + 7", "t + 11"], ["t", "f + 19", "f + 30"], ["f", "m + 15", "m + 45"], ["m", "x + 1", "x + 46"], ["x", "y + 20", "y + 66"], ["y", 9, "75"]], "target_var_name": "b", "target_value": 75, "value_dict": {"y": 9}, "is_reverse": true}} | 9,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 4; v = e + 10; q = y + 18; j = t + 7; s = v + 20; d = q + 6; t = f + 19; m = x + 1; f = m + 15; y = 9; x = y + 20; n = s + 19; e = d + 2. If y = 9, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = t + 7 to b, which gives b = t + 11.\n2. Substitute t = f + 19 to b, which gives b = f + 30.\n3. Substitute f = m + 15 to b, which gives b = m + 45.\n4. Substitute m = x + 1 to b, which gives b = x + 46.\n5. Substitute x = y + 20 to b, which gives b = y + 66.\n6. Substitute y = 9 to b, which gives b = 75.\n\nThus, the final answer is b = \\boxed{75}.",
"index": 9947,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 4; v = e + 10; q = y + 18; j = t + 7; s = v + 20; d = q + 6; t = f + 19; m = x + 1; f = m + 15; y = 9; x = y + 20; n = s + 19; e = d + 2. If y = 9, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 5", "e": "h + 16", "a": "e + 16", "u": "a + 4", "p": "u + 8", "t": "p + 12", "o": "l + 13", "n": "o + 12", "i": "n + 9", "z": "i + 12", "f": "z + 12", "j": "f + 4", "l": 9}, "premises": {"l": 9}, "target": "t"}, "answer": {"steps": [["p", "u + 8", "u + 20"], ["u", "a + 4", "a + 24"], ["a", "e + 16", "e + 40"], ["e", "h + 16", "h + 56"], ["h", "l + 5", "l + 61"], ["l", 9, "70"]], "target_var_name": "t", "target_value": 70, "value_dict": {"l": 9}, "is_reverse": true}} | 9,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = 9; f = z + 12; p = u + 8; o = l + 13; e = h + 16; a = e + 16; n = o + 12; h = l + 5; t = p + 12; z = i + 12; u = a + 4; i = n + 9; j = f + 4. If l = 9, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = u + 8 to t, which gives t = u + 20.\n2. Substitute u = a + 4 to t, which gives t = a + 24.\n3. Substitute a = e + 16 to t, which gives t = e + 40.\n4. Substitute e = h + 16 to t, which gives t = h + 56.\n5. Substitute h = l + 5 to t, which gives t = l + 61.\n6. Substitute l = 9 to t, which gives t = 70.\n\nThus, the final answer is t = \\boxed{70}.",
"index": 9948,
"question": "Consider a system of variables where each variable is defined as follows: l = 9; f = z + 12; p = u + 8; o = l + 13; e = h + 16; a = e + 16; n = o + 12; h = l + 5; t = p + 12; z = i + 12; u = a + 4; i = n + 9; j = f + 4. If l = 9, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "e + 6", "v": "f + 19", "j": "v + 10", "h": "j + 20", "t": "h + 13", "b": "t + 17", "n": "e + 7", "q": "n + 19", "d": "q + 11", "y": "d + 4", "z": "y + 12", "k": "z + 10", "e": 20}, "premises": {"e": 20}, "target": "b"}, "answer": {"steps": [["t", "h + 13", "h + 30"], ["h", "j + 20", "j + 50"], ["j", "v + 10", "v + 60"], ["v", "f + 19", "f + 79"], ["f", "e + 6", "e + 85"], ["e", 20, "105"]], "target_var_name": "b", "target_value": 105, "value_dict": {"e": 20}, "is_reverse": true}} | 9,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 13; f = e + 6; z = y + 12; d = q + 11; q = n + 19; h = j + 20; k = z + 10; j = v + 10; n = e + 7; b = t + 17; y = d + 4; v = f + 19; e = 20. If e = 20, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 13 to b, which gives b = h + 30.\n2. Substitute h = j + 20 to b, which gives b = j + 50.\n3. Substitute j = v + 10 to b, which gives b = v + 60.\n4. Substitute v = f + 19 to b, which gives b = f + 79.\n5. Substitute f = e + 6 to b, which gives b = e + 85.\n6. Substitute e = 20 to b, which gives b = 105.\n\nThus, the final answer is b = \\boxed{105}.",
"index": 9949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = h + 13; f = e + 6; z = y + 12; d = q + 11; q = n + 19; h = j + 20; k = z + 10; j = v + 10; n = e + 7; b = t + 17; y = d + 4; v = f + 19; e = 20. If e = 20, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"i": "m + 7", "q": "i + 20", "x": "q + 8", "c": "x + 5", "t": "c + 8", "j": "t + 5", "u": "m + 4", "w": "u + 2", "g": "w + 6", "o": "g + 4", "y": "o + 17", "n": "y + 3", "m": 16}, "premises": {"m": 16}, "target": "j"}, "answer": {"steps": [["t", "c + 8", "c + 13"], ["c", "x + 5", "x + 18"], ["x", "q + 8", "q + 26"], ["q", "i + 20", "i + 46"], ["i", "m + 7", "m + 53"], ["m", 16, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"m": 16}, "is_reverse": true}} | 9,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 4; q = i + 20; w = u + 2; g = w + 6; j = t + 5; m = 16; y = o + 17; t = c + 8; i = m + 7; u = m + 4; n = y + 3; c = x + 5; x = q + 8. If m = 16, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = c + 8 to j, which gives j = c + 13.\n2. Substitute c = x + 5 to j, which gives j = x + 18.\n3. Substitute x = q + 8 to j, which gives j = q + 26.\n4. Substitute q = i + 20 to j, which gives j = i + 46.\n5. Substitute i = m + 7 to j, which gives j = m + 53.\n6. Substitute m = 16 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 9950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = g + 4; q = i + 20; w = u + 2; g = w + 6; j = t + 5; m = 16; y = o + 17; t = c + 8; i = m + 7; u = m + 4; n = y + 3; c = x + 5; x = q + 8. If m = 16, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 4", "y": "o + 16", "v": "y + 11", "q": "v + 2", "h": "q + 14", "b": "h + 1", "l": "p + 11", "x": "l + 4", "c": "x + 14", "z": "c + 14", "m": "z + 8", "a": "m + 16", "p": 8}, "premises": {"p": 8}, "target": "b"}, "answer": {"steps": [["h", "q + 14", "q + 15"], ["q", "v + 2", "v + 17"], ["v", "y + 11", "y + 28"], ["y", "o + 16", "o + 44"], ["o", "p + 4", "p + 48"], ["p", 8, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"p": 8}, "is_reverse": true}} | 9,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = z + 8; l = p + 11; h = q + 14; a = m + 16; y = o + 16; c = x + 14; x = l + 4; p = 8; b = h + 1; o = p + 4; q = v + 2; v = y + 11; z = c + 14. Given that p = 8, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 14 to b, which gives b = q + 15.\n2. Substitute q = v + 2 to b, which gives b = v + 17.\n3. Substitute v = y + 11 to b, which gives b = y + 28.\n4. Substitute y = o + 16 to b, which gives b = o + 44.\n5. Substitute o = p + 4 to b, which gives b = p + 48.\n6. Substitute p = 8 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 9951,
"question": "Suppose a collection of variables is related by the following definitions: m = z + 8; l = p + 11; h = q + 14; a = m + 16; y = o + 16; c = x + 14; x = l + 4; p = 8; b = h + 1; o = p + 4; q = v + 2; v = y + 11; z = c + 14. Given that p = 8, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 16", "c": "s + 20", "r": "c + 20", "g": "r + 8", "n": "g + 13", "z": "n + 1", "k": "q + 9", "d": "k + 7", "m": "d + 19", "f": "m + 2", "p": "f + 15", "o": "p + 14", "q": 18}, "premises": {"q": 18}, "target": "z"}, "answer": {"steps": [["n", "g + 13", "g + 14"], ["g", "r + 8", "r + 22"], ["r", "c + 20", "c + 42"], ["c", "s + 20", "s + 62"], ["s", "q + 16", "q + 78"], ["q", 18, "96"]], "target_var_name": "z", "target_value": 96, "value_dict": {"q": 18}, "is_reverse": true}} | 9,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = d + 19; o = p + 14; z = n + 1; k = q + 9; q = 18; r = c + 20; g = r + 8; f = m + 2; d = k + 7; n = g + 13; p = f + 15; c = s + 20; s = q + 16. Given that q = 18, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 13 to z, which gives z = g + 14.\n2. Substitute g = r + 8 to z, which gives z = r + 22.\n3. Substitute r = c + 20 to z, which gives z = c + 42.\n4. Substitute c = s + 20 to z, which gives z = s + 62.\n5. Substitute s = q + 16 to z, which gives z = q + 78.\n6. Substitute q = 18 to z, which gives z = 96.\n\nThus, the final answer is z = \\boxed{96}.",
"index": 9952,
"question": "Suppose a collection of variables is related by the following definitions: m = d + 19; o = p + 14; z = n + 1; k = q + 9; q = 18; r = c + 20; g = r + 8; f = m + 2; d = k + 7; n = g + 13; p = f + 15; c = s + 20; s = q + 16. Given that q = 18, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 7", "g": "o + 9", "w": "g + 6", "e": "w + 9", "f": "e + 20", "q": "f + 19", "u": "d + 6", "z": "u + 14", "m": "z + 14", "k": "m + 6", "i": "k + 16", "v": "i + 2", "d": 9}, "premises": {"d": 9}, "target": "q"}, "answer": {"steps": [["f", "e + 20", "e + 39"], ["e", "w + 9", "w + 48"], ["w", "g + 6", "g + 54"], ["g", "o + 9", "o + 63"], ["o", "d + 7", "d + 70"], ["d", 9, "79"]], "target_var_name": "q", "target_value": 79, "value_dict": {"d": 9}, "is_reverse": true}} | 9,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 9; u = d + 6; k = m + 6; i = k + 16; d = 9; f = e + 20; q = f + 19; w = g + 6; v = i + 2; z = u + 14; o = d + 7; g = o + 9; m = z + 14. If d = 9, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = e + 20 to q, which gives q = e + 39.\n2. Substitute e = w + 9 to q, which gives q = w + 48.\n3. Substitute w = g + 6 to q, which gives q = g + 54.\n4. Substitute g = o + 9 to q, which gives q = o + 63.\n5. Substitute o = d + 7 to q, which gives q = d + 70.\n6. Substitute d = 9 to q, which gives q = 79.\n\nThus, the final answer is q = \\boxed{79}.",
"index": 9953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = w + 9; u = d + 6; k = m + 6; i = k + 16; d = 9; f = e + 20; q = f + 19; w = g + 6; v = i + 2; z = u + 14; o = d + 7; g = o + 9; m = z + 14. If d = 9, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"w": "h + 6", "z": "w + 10", "t": "z + 16", "k": "t + 8", "o": "k + 2", "d": "o + 6", "a": "h + 2", "l": "a + 19", "n": "l + 18", "s": "n + 16", "p": "s + 10", "q": "p + 14", "h": 3}, "premises": {"h": 3}, "target": "d"}, "answer": {"steps": [["o", "k + 2", "k + 8"], ["k", "t + 8", "t + 16"], ["t", "z + 16", "z + 32"], ["z", "w + 10", "w + 42"], ["w", "h + 6", "h + 48"], ["h", 3, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"h": 3}, "is_reverse": true}} | 9,954 | 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 = h + 6; a = h + 2; d = o + 6; k = t + 8; q = p + 14; o = k + 2; h = 3; n = l + 18; p = s + 10; l = a + 19; z = w + 10; s = n + 16; t = z + 16. If h = 3, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 2 to d, which gives d = k + 8.\n2. Substitute k = t + 8 to d, which gives d = t + 16.\n3. Substitute t = z + 16 to d, which gives d = z + 32.\n4. Substitute z = w + 10 to d, which gives d = w + 42.\n5. Substitute w = h + 6 to d, which gives d = h + 48.\n6. Substitute h = 3 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 9954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = h + 6; a = h + 2; d = o + 6; k = t + 8; q = p + 14; o = k + 2; h = 3; n = l + 18; p = s + 10; l = a + 19; z = w + 10; s = n + 16; t = z + 16. If h = 3, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 9", "y": "i + 15", "u": "y + 10", "p": "u + 4", "b": "p + 20", "o": "b + 10", "z": "q + 1", "l": "z + 17", "s": "l + 19", "n": "s + 16", "e": "n + 9", "k": "e + 19", "q": 16}, "premises": {"q": 16}, "target": "o"}, "answer": {"steps": [["b", "p + 20", "p + 30"], ["p", "u + 4", "u + 34"], ["u", "y + 10", "y + 44"], ["y", "i + 15", "i + 59"], ["i", "q + 9", "q + 68"], ["q", 16, "84"]], "target_var_name": "o", "target_value": 84, "value_dict": {"q": 16}, "is_reverse": true}} | 9,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = 16; u = y + 10; y = i + 15; b = p + 20; i = q + 9; k = e + 19; l = z + 17; s = l + 19; o = b + 10; n = s + 16; z = q + 1; p = u + 4; e = n + 9. Given that q = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 20 to o, which gives o = p + 30.\n2. Substitute p = u + 4 to o, which gives o = u + 34.\n3. Substitute u = y + 10 to o, which gives o = y + 44.\n4. Substitute y = i + 15 to o, which gives o = i + 59.\n5. Substitute i = q + 9 to o, which gives o = q + 68.\n6. Substitute q = 16 to o, which gives o = 84.\n\nThus, the final answer is o = \\boxed{84}.",
"index": 9955,
"question": "Suppose a collection of variables is related by the following definitions: q = 16; u = y + 10; y = i + 15; b = p + 20; i = q + 9; k = e + 19; l = z + 17; s = l + 19; o = b + 10; n = s + 16; z = q + 1; p = u + 4; e = n + 9. Given that q = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 4", "l": "d + 16", "m": "l + 12", "p": "m + 10", "o": "p + 3", "n": "o + 6", "q": "g + 6", "x": "q + 7", "t": "x + 16", "e": "t + 1", "c": "e + 5", "z": "c + 12", "g": 7}, "premises": {"g": 7}, "target": "n"}, "answer": {"steps": [["o", "p + 3", "p + 9"], ["p", "m + 10", "m + 19"], ["m", "l + 12", "l + 31"], ["l", "d + 16", "d + 47"], ["d", "g + 4", "g + 51"], ["g", 7, "58"]], "target_var_name": "n", "target_value": 58, "value_dict": {"g": 7}, "is_reverse": true}} | 9,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = d + 16; m = l + 12; p = m + 10; e = t + 1; z = c + 12; g = 7; o = p + 3; n = o + 6; c = e + 5; t = x + 16; x = q + 7; d = g + 4; q = g + 6. Given that g = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 3 to n, which gives n = p + 9.\n2. Substitute p = m + 10 to n, which gives n = m + 19.\n3. Substitute m = l + 12 to n, which gives n = l + 31.\n4. Substitute l = d + 16 to n, which gives n = d + 47.\n5. Substitute d = g + 4 to n, which gives n = g + 51.\n6. Substitute g = 7 to n, which gives n = 58.\n\nThus, the final answer is n = \\boxed{58}.",
"index": 9956,
"question": "Suppose a collection of variables is related by the following definitions: l = d + 16; m = l + 12; p = m + 10; e = t + 1; z = c + 12; g = 7; o = p + 3; n = o + 6; c = e + 5; t = x + 16; x = q + 7; d = g + 4; q = g + 6. Given that g = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 1", "z": "h + 3", "o": "z + 6", "c": "o + 2", "p": "c + 9", "r": "p + 11", "k": "b + 8", "u": "k + 18", "j": "u + 7", "e": "j + 11", "q": "e + 2", "a": "q + 12", "b": 14}, "premises": {"b": 14}, "target": "r"}, "answer": {"steps": [["p", "c + 9", "c + 20"], ["c", "o + 2", "o + 22"], ["o", "z + 6", "z + 28"], ["z", "h + 3", "h + 31"], ["h", "b + 1", "b + 32"], ["b", 14, "46"]], "target_var_name": "r", "target_value": 46, "value_dict": {"b": 14}, "is_reverse": true}} | 9,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 14; h = b + 1; k = b + 8; q = e + 2; c = o + 2; o = z + 6; r = p + 11; p = c + 9; e = j + 11; z = h + 3; a = q + 12; j = u + 7; u = k + 18. If b = 14, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = c + 9 to r, which gives r = c + 20.\n2. Substitute c = o + 2 to r, which gives r = o + 22.\n3. Substitute o = z + 6 to r, which gives r = z + 28.\n4. Substitute z = h + 3 to r, which gives r = h + 31.\n5. Substitute h = b + 1 to r, which gives r = b + 32.\n6. Substitute b = 14 to r, which gives r = 46.\n\nThus, the final answer is r = \\boxed{46}.",
"index": 9957,
"question": "Consider a system of variables where each variable is defined as follows: b = 14; h = b + 1; k = b + 8; q = e + 2; c = o + 2; o = z + 6; r = p + 11; p = c + 9; e = j + 11; z = h + 3; a = q + 12; j = u + 7; u = k + 18. If b = 14, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 13", "y": "o + 12", "z": "y + 5", "e": "z + 20", "x": "e + 17", "f": "x + 19", "s": "i + 8", "v": "s + 16", "h": "v + 19", "d": "h + 11", "l": "d + 20", "a": "l + 17", "i": 3}, "premises": {"i": 3}, "target": "f"}, "answer": {"steps": [["x", "e + 17", "e + 36"], ["e", "z + 20", "z + 56"], ["z", "y + 5", "y + 61"], ["y", "o + 12", "o + 73"], ["o", "i + 13", "i + 86"], ["i", 3, "89"]], "target_var_name": "f", "target_value": 89, "value_dict": {"i": 3}, "is_reverse": true}} | 9,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = l + 17; y = o + 12; s = i + 8; i = 3; h = v + 19; d = h + 11; z = y + 5; v = s + 16; f = x + 19; e = z + 20; l = d + 20; o = i + 13; x = e + 17. Given that i = 3, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 17 to f, which gives f = e + 36.\n2. Substitute e = z + 20 to f, which gives f = z + 56.\n3. Substitute z = y + 5 to f, which gives f = y + 61.\n4. Substitute y = o + 12 to f, which gives f = o + 73.\n5. Substitute o = i + 13 to f, which gives f = i + 86.\n6. Substitute i = 3 to f, which gives f = 89.\n\nThus, the final answer is f = \\boxed{89}.",
"index": 9958,
"question": "Suppose a collection of variables is related by the following definitions: a = l + 17; y = o + 12; s = i + 8; i = 3; h = v + 19; d = h + 11; z = y + 5; v = s + 16; f = x + 19; e = z + 20; l = d + 20; o = i + 13; x = e + 17. Given that i = 3, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "s + 3", "i": "r + 1", "c": "i + 5", "a": "c + 15", "x": "a + 2", "b": "x + 13", "o": "s + 1", "m": "o + 20", "z": "m + 5", "q": "z + 18", "f": "q + 8", "w": "f + 7", "s": 17}, "premises": {"s": 17}, "target": "b"}, "answer": {"steps": [["x", "a + 2", "a + 15"], ["a", "c + 15", "c + 30"], ["c", "i + 5", "i + 35"], ["i", "r + 1", "r + 36"], ["r", "s + 3", "s + 39"], ["s", 17, "56"]], "target_var_name": "b", "target_value": 56, "value_dict": {"s": 17}, "is_reverse": true}} | 9,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = x + 13; i = r + 1; w = f + 7; s = 17; z = m + 5; f = q + 8; c = i + 5; m = o + 20; x = a + 2; r = s + 3; q = z + 18; a = c + 15; o = s + 1. If s = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 2 to b, which gives b = a + 15.\n2. Substitute a = c + 15 to b, which gives b = c + 30.\n3. Substitute c = i + 5 to b, which gives b = i + 35.\n4. Substitute i = r + 1 to b, which gives b = r + 36.\n5. Substitute r = s + 3 to b, which gives b = s + 39.\n6. Substitute s = 17 to b, which gives b = 56.\n\nThus, the final answer is b = \\boxed{56}.",
"index": 9959,
"question": "Consider a system of variables where each variable is defined as follows: b = x + 13; i = r + 1; w = f + 7; s = 17; z = m + 5; f = q + 8; c = i + 5; m = o + 20; x = a + 2; r = s + 3; q = z + 18; a = c + 15; o = s + 1. If s = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "l + 3", "f": "v + 18", "c": "f + 18", "n": "c + 3", "g": "n + 12", "x": "g + 3", "d": "l + 14", "t": "d + 4", "r": "t + 12", "s": "r + 8", "m": "s + 20", "j": "m + 14", "l": 8}, "premises": {"l": 8}, "target": "x"}, "answer": {"steps": [["g", "n + 12", "n + 15"], ["n", "c + 3", "c + 18"], ["c", "f + 18", "f + 36"], ["f", "v + 18", "v + 54"], ["v", "l + 3", "l + 57"], ["l", 8, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"l": 8}, "is_reverse": true}} | 9,960 | 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 + 12; x = g + 3; c = f + 18; g = n + 12; d = l + 14; t = d + 4; n = c + 3; m = s + 20; v = l + 3; f = v + 18; j = m + 14; s = r + 8; l = 8. If l = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = n + 12 to x, which gives x = n + 15.\n2. Substitute n = c + 3 to x, which gives x = c + 18.\n3. Substitute c = f + 18 to x, which gives x = f + 36.\n4. Substitute f = v + 18 to x, which gives x = v + 54.\n5. Substitute v = l + 3 to x, which gives x = l + 57.\n6. Substitute l = 8 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 9960,
"question": "Consider a system of variables where each variable is defined as follows: r = t + 12; x = g + 3; c = f + 18; g = n + 12; d = l + 14; t = d + 4; n = c + 3; m = s + 20; v = l + 3; f = v + 18; j = m + 14; s = r + 8; l = 8. If l = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 8", "j": "x + 13", "a": "j + 2", "p": "a + 13", "f": "p + 13", "r": "f + 14", "y": "n + 6", "v": "y + 16", "l": "v + 3", "u": "l + 3", "g": "u + 11", "d": "g + 3", "n": 19}, "premises": {"n": 19}, "target": "r"}, "answer": {"steps": [["f", "p + 13", "p + 27"], ["p", "a + 13", "a + 40"], ["a", "j + 2", "j + 42"], ["j", "x + 13", "x + 55"], ["x", "n + 8", "n + 63"], ["n", 19, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"n": 19}, "is_reverse": true}} | 9,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 3; x = n + 8; p = a + 13; v = y + 16; f = p + 13; r = f + 14; l = v + 3; u = l + 3; n = 19; j = x + 13; g = u + 11; y = n + 6; a = j + 2. Given that n = 19, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = p + 13 to r, which gives r = p + 27.\n2. Substitute p = a + 13 to r, which gives r = a + 40.\n3. Substitute a = j + 2 to r, which gives r = j + 42.\n4. Substitute j = x + 13 to r, which gives r = x + 55.\n5. Substitute x = n + 8 to r, which gives r = n + 63.\n6. Substitute n = 19 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 9961,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 3; x = n + 8; p = a + 13; v = y + 16; f = p + 13; r = f + 14; l = v + 3; u = l + 3; n = 19; j = x + 13; g = u + 11; y = n + 6; a = j + 2. Given that n = 19, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 4", "i": "m + 12", "b": "i + 3", "q": "b + 16", "c": "q + 7", "j": "c + 8", "e": "o + 14", "r": "e + 7", "p": "r + 2", "x": "p + 10", "l": "x + 6", "v": "l + 11", "o": 12}, "premises": {"o": 12}, "target": "j"}, "answer": {"steps": [["c", "q + 7", "q + 15"], ["q", "b + 16", "b + 31"], ["b", "i + 3", "i + 34"], ["i", "m + 12", "m + 46"], ["m", "o + 4", "o + 50"], ["o", 12, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"o": 12}, "is_reverse": true}} | 9,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 4; v = l + 11; r = e + 7; q = b + 16; o = 12; j = c + 8; b = i + 3; i = m + 12; x = p + 10; c = q + 7; e = o + 14; p = r + 2; l = x + 6. Given that o = 12, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = q + 7 to j, which gives j = q + 15.\n2. Substitute q = b + 16 to j, which gives j = b + 31.\n3. Substitute b = i + 3 to j, which gives j = i + 34.\n4. Substitute i = m + 12 to j, which gives j = m + 46.\n5. Substitute m = o + 4 to j, which gives j = o + 50.\n6. Substitute o = 12 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 9962,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 4; v = l + 11; r = e + 7; q = b + 16; o = 12; j = c + 8; b = i + 3; i = m + 12; x = p + 10; c = q + 7; e = o + 14; p = r + 2; l = x + 6. Given that o = 12, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 14", "t": "n + 14", "b": "t + 6", "w": "b + 20", "g": "w + 11", "a": "g + 19", "s": "v + 16", "d": "s + 7", "e": "d + 17", "p": "e + 4", "j": "p + 9", "z": "j + 12", "v": 20}, "premises": {"v": 20}, "target": "a"}, "answer": {"steps": [["g", "w + 11", "w + 30"], ["w", "b + 20", "b + 50"], ["b", "t + 6", "t + 56"], ["t", "n + 14", "n + 70"], ["n", "v + 14", "v + 84"], ["v", 20, "104"]], "target_var_name": "a", "target_value": 104, "value_dict": {"v": 20}, "is_reverse": true}} | 9,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 12; g = w + 11; s = v + 16; j = p + 9; e = d + 17; v = 20; t = n + 14; a = g + 19; b = t + 6; w = b + 20; d = s + 7; n = v + 14; p = e + 4. Given that v = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 11 to a, which gives a = w + 30.\n2. Substitute w = b + 20 to a, which gives a = b + 50.\n3. Substitute b = t + 6 to a, which gives a = t + 56.\n4. Substitute t = n + 14 to a, which gives a = n + 70.\n5. Substitute n = v + 14 to a, which gives a = v + 84.\n6. Substitute v = 20 to a, which gives a = 104.\n\nThus, the final answer is a = \\boxed{104}.",
"index": 9963,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 12; g = w + 11; s = v + 16; j = p + 9; e = d + 17; v = 20; t = n + 14; a = g + 19; b = t + 6; w = b + 20; d = s + 7; n = v + 14; p = e + 4. Given that v = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 1", "s": "m + 13", "f": "s + 17", "e": "f + 18", "j": "e + 8", "p": "j + 17", "l": "q + 16", "u": "l + 15", "i": "u + 5", "c": "i + 6", "o": "c + 3", "a": "o + 17", "q": 11}, "premises": {"q": 11}, "target": "p"}, "answer": {"steps": [["j", "e + 8", "e + 25"], ["e", "f + 18", "f + 43"], ["f", "s + 17", "s + 60"], ["s", "m + 13", "m + 73"], ["m", "q + 1", "q + 74"], ["q", 11, "85"]], "target_var_name": "p", "target_value": 85, "value_dict": {"q": 11}, "is_reverse": true}} | 9,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 17; o = c + 3; i = u + 5; c = i + 6; m = q + 1; l = q + 16; f = s + 17; u = l + 15; j = e + 8; e = f + 18; s = m + 13; q = 11; a = o + 17. If q = 11, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 8 to p, which gives p = e + 25.\n2. Substitute e = f + 18 to p, which gives p = f + 43.\n3. Substitute f = s + 17 to p, which gives p = s + 60.\n4. Substitute s = m + 13 to p, which gives p = m + 73.\n5. Substitute m = q + 1 to p, which gives p = q + 74.\n6. Substitute q = 11 to p, which gives p = 85.\n\nThus, the final answer is p = \\boxed{85}.",
"index": 9964,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = j + 17; o = c + 3; i = u + 5; c = i + 6; m = q + 1; l = q + 16; f = s + 17; u = l + 15; j = e + 8; e = f + 18; s = m + 13; q = 11; a = o + 17. If q = 11, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"u": "j + 19", "z": "u + 10", "v": "z + 15", "h": "v + 2", "g": "h + 10", "t": "g + 15", "o": "j + 15", "f": "o + 9", "l": "f + 12", "n": "l + 20", "k": "n + 3", "b": "k + 4", "j": 15}, "premises": {"j": 15}, "target": "t"}, "answer": {"steps": [["g", "h + 10", "h + 25"], ["h", "v + 2", "v + 27"], ["v", "z + 15", "z + 42"], ["z", "u + 10", "u + 52"], ["u", "j + 19", "j + 71"], ["j", 15, "86"]], "target_var_name": "t", "target_value": 86, "value_dict": {"j": 15}, "is_reverse": true}} | 9,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = j + 15; z = u + 10; k = n + 3; f = o + 9; b = k + 4; g = h + 10; v = z + 15; j = 15; h = v + 2; l = f + 12; u = j + 19; n = l + 20; t = g + 15. Given that j = 15, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 10 to t, which gives t = h + 25.\n2. Substitute h = v + 2 to t, which gives t = v + 27.\n3. Substitute v = z + 15 to t, which gives t = z + 42.\n4. Substitute z = u + 10 to t, which gives t = u + 52.\n5. Substitute u = j + 19 to t, which gives t = j + 71.\n6. Substitute j = 15 to t, which gives t = 86.\n\nThus, the final answer is t = \\boxed{86}.",
"index": 9965,
"question": "Suppose a collection of variables is related by the following definitions: o = j + 15; z = u + 10; k = n + 3; f = o + 9; b = k + 4; g = h + 10; v = z + 15; j = 15; h = v + 2; l = f + 12; u = j + 19; n = l + 20; t = g + 15. Given that j = 15, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 17", "f": "t + 16", "c": "f + 6", "m": "c + 14", "s": "m + 4", "u": "s + 6", "l": "v + 7", "b": "l + 17", "n": "b + 5", "z": "n + 10", "x": "z + 9", "g": "x + 4", "v": 5}, "premises": {"v": 5}, "target": "u"}, "answer": {"steps": [["s", "m + 4", "m + 10"], ["m", "c + 14", "c + 24"], ["c", "f + 6", "f + 30"], ["f", "t + 16", "t + 46"], ["t", "v + 17", "v + 63"], ["v", 5, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"v": 5}, "is_reverse": true}} | 9,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 5; f = t + 16; s = m + 4; b = l + 17; l = v + 7; t = v + 17; m = c + 14; g = x + 4; n = b + 5; u = s + 6; x = z + 9; z = n + 10; c = f + 6. If v = 5, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 4 to u, which gives u = m + 10.\n2. Substitute m = c + 14 to u, which gives u = c + 24.\n3. Substitute c = f + 6 to u, which gives u = f + 30.\n4. Substitute f = t + 16 to u, which gives u = t + 46.\n5. Substitute t = v + 17 to u, which gives u = v + 63.\n6. Substitute v = 5 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 9966,
"question": "Consider a system of variables where each variable is defined as follows: v = 5; f = t + 16; s = m + 4; b = l + 17; l = v + 7; t = v + 17; m = c + 14; g = x + 4; n = b + 5; u = s + 6; x = z + 9; z = n + 10; c = f + 6. If v = 5, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"e": "u + 11", "l": "e + 9", "t": "l + 15", "o": "t + 6", "j": "o + 4", "s": "j + 14", "q": "u + 5", "r": "q + 7", "f": "r + 7", "y": "f + 12", "n": "y + 9", "z": "n + 4", "u": 2}, "premises": {"u": 2}, "target": "s"}, "answer": {"steps": [["j", "o + 4", "o + 18"], ["o", "t + 6", "t + 24"], ["t", "l + 15", "l + 39"], ["l", "e + 9", "e + 48"], ["e", "u + 11", "u + 59"], ["u", 2, "61"]], "target_var_name": "s", "target_value": 61, "value_dict": {"u": 2}, "is_reverse": true}} | 9,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = j + 14; n = y + 9; u = 2; z = n + 4; f = r + 7; q = u + 5; t = l + 15; y = f + 12; e = u + 11; j = o + 4; r = q + 7; l = e + 9; o = t + 6. If u = 2, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 4 to s, which gives s = o + 18.\n2. Substitute o = t + 6 to s, which gives s = t + 24.\n3. Substitute t = l + 15 to s, which gives s = l + 39.\n4. Substitute l = e + 9 to s, which gives s = e + 48.\n5. Substitute e = u + 11 to s, which gives s = u + 59.\n6. Substitute u = 2 to s, which gives s = 61.\n\nThus, the final answer is s = \\boxed{61}.",
"index": 9967,
"question": "Consider a system of variables where each variable is defined as follows: s = j + 14; n = y + 9; u = 2; z = n + 4; f = r + 7; q = u + 5; t = l + 15; y = f + 12; e = u + 11; j = o + 4; r = q + 7; l = e + 9; o = t + 6. If u = 2, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 11", "v": "r + 8", "t": "v + 12", "p": "t + 6", "y": "p + 10", "k": "y + 12", "w": "j + 13", "f": "w + 2", "c": "f + 2", "a": "c + 8", "e": "a + 6", "n": "e + 9", "j": 12}, "premises": {"j": 12}, "target": "k"}, "answer": {"steps": [["y", "p + 10", "p + 22"], ["p", "t + 6", "t + 28"], ["t", "v + 12", "v + 40"], ["v", "r + 8", "r + 48"], ["r", "j + 11", "j + 59"], ["j", 12, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"j": 12}, "is_reverse": true}} | 9,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 12; y = p + 10; a = c + 8; t = v + 12; v = r + 8; r = j + 11; f = w + 2; c = f + 2; n = e + 9; p = t + 6; e = a + 6; w = j + 13; k = y + 12. If j = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 10 to k, which gives k = p + 22.\n2. Substitute p = t + 6 to k, which gives k = t + 28.\n3. Substitute t = v + 12 to k, which gives k = v + 40.\n4. Substitute v = r + 8 to k, which gives k = r + 48.\n5. Substitute r = j + 11 to k, which gives k = j + 59.\n6. Substitute j = 12 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 9968,
"question": "Consider a system of variables where each variable is defined as follows: j = 12; y = p + 10; a = c + 8; t = v + 12; v = r + 8; r = j + 11; f = w + 2; c = f + 2; n = e + 9; p = t + 6; e = a + 6; w = j + 13; k = y + 12. If j = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 3", "x": "i + 15", "m": "x + 17", "f": "m + 15", "c": "f + 7", "b": "c + 16", "l": "a + 11", "n": "l + 1", "r": "n + 2", "g": "r + 1", "z": "g + 8", "h": "z + 8", "a": 20}, "premises": {"a": 20}, "target": "b"}, "answer": {"steps": [["c", "f + 7", "f + 23"], ["f", "m + 15", "m + 38"], ["m", "x + 17", "x + 55"], ["x", "i + 15", "i + 70"], ["i", "a + 3", "a + 73"], ["a", 20, "93"]], "target_var_name": "b", "target_value": 93, "value_dict": {"a": 20}, "is_reverse": true}} | 9,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 3; m = x + 17; h = z + 8; x = i + 15; a = 20; f = m + 15; g = r + 1; n = l + 1; c = f + 7; r = n + 2; l = a + 11; z = g + 8; b = c + 16. If a = 20, 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 c = f + 7 to b, which gives b = f + 23.\n2. Substitute f = m + 15 to b, which gives b = m + 38.\n3. Substitute m = x + 17 to b, which gives b = x + 55.\n4. Substitute x = i + 15 to b, which gives b = i + 70.\n5. Substitute i = a + 3 to b, which gives b = a + 73.\n6. Substitute a = 20 to b, which gives b = 93.\n\nThus, the final answer is b = \\boxed{93}.",
"index": 9969,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 3; m = x + 17; h = z + 8; x = i + 15; a = 20; f = m + 15; g = r + 1; n = l + 1; c = f + 7; r = n + 2; l = a + 11; z = g + 8; b = c + 16. If a = 20, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 2", "w": "z + 15", "k": "w + 20", "o": "k + 5", "j": "o + 19", "v": "j + 19", "t": "y + 11", "b": "t + 1", "p": "b + 2", "l": "p + 12", "q": "l + 18", "x": "q + 12", "y": 19}, "premises": {"y": 19}, "target": "v"}, "answer": {"steps": [["j", "o + 19", "o + 38"], ["o", "k + 5", "k + 43"], ["k", "w + 20", "w + 63"], ["w", "z + 15", "z + 78"], ["z", "y + 2", "y + 80"], ["y", 19, "99"]], "target_var_name": "v", "target_value": 99, "value_dict": {"y": 19}, "is_reverse": true}} | 9,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = z + 15; v = j + 19; o = k + 5; k = w + 20; b = t + 1; x = q + 12; l = p + 12; z = y + 2; j = o + 19; p = b + 2; t = y + 11; y = 19; q = l + 18. Given that y = 19, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = o + 19 to v, which gives v = o + 38.\n2. Substitute o = k + 5 to v, which gives v = k + 43.\n3. Substitute k = w + 20 to v, which gives v = w + 63.\n4. Substitute w = z + 15 to v, which gives v = z + 78.\n5. Substitute z = y + 2 to v, which gives v = y + 80.\n6. Substitute y = 19 to v, which gives v = 99.\n\nThus, the final answer is v = \\boxed{99}.",
"index": 9970,
"question": "Suppose a collection of variables is related by the following definitions: w = z + 15; v = j + 19; o = k + 5; k = w + 20; b = t + 1; x = q + 12; l = p + 12; z = y + 2; j = o + 19; p = b + 2; t = y + 11; y = 19; q = l + 18. Given that y = 19, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"m": "t + 16", "c": "m + 4", "q": "c + 1", "z": "q + 15", "k": "z + 11", "s": "k + 10", "g": "t + 10", "p": "g + 2", "v": "p + 8", "l": "v + 12", "i": "l + 18", "a": "i + 6", "t": 15}, "premises": {"t": 15}, "target": "s"}, "answer": {"steps": [["k", "z + 11", "z + 21"], ["z", "q + 15", "q + 36"], ["q", "c + 1", "c + 37"], ["c", "m + 4", "m + 41"], ["m", "t + 16", "t + 57"], ["t", 15, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"t": 15}, "is_reverse": true}} | 9,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = t + 16; t = 15; c = m + 4; p = g + 2; a = i + 6; i = l + 18; l = v + 12; s = k + 10; k = z + 11; g = t + 10; v = p + 8; q = c + 1; z = q + 15. If t = 15, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 11 to s, which gives s = z + 21.\n2. Substitute z = q + 15 to s, which gives s = q + 36.\n3. Substitute q = c + 1 to s, which gives s = c + 37.\n4. Substitute c = m + 4 to s, which gives s = m + 41.\n5. Substitute m = t + 16 to s, which gives s = t + 57.\n6. Substitute t = 15 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 9971,
"question": "Consider a system of variables where each variable is defined as follows: m = t + 16; t = 15; c = m + 4; p = g + 2; a = i + 6; i = l + 18; l = v + 12; s = k + 10; k = z + 11; g = t + 10; v = p + 8; q = c + 1; z = q + 15. If t = 15, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 20", "f": "q + 9", "i": "f + 19", "u": "i + 4", "l": "u + 12", "g": "l + 7", "s": "z + 5", "n": "s + 9", "j": "n + 14", "v": "j + 14", "y": "v + 16", "b": "y + 14", "z": 13}, "premises": {"z": 13}, "target": "g"}, "answer": {"steps": [["l", "u + 12", "u + 19"], ["u", "i + 4", "i + 23"], ["i", "f + 19", "f + 42"], ["f", "q + 9", "q + 51"], ["q", "z + 20", "z + 71"], ["z", 13, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"z": 13}, "is_reverse": true}} | 9,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 9; j = n + 14; q = z + 20; y = v + 16; l = u + 12; s = z + 5; v = j + 14; z = 13; g = l + 7; i = f + 19; b = y + 14; f = q + 9; u = i + 4. Given that z = 13, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 12 to g, which gives g = u + 19.\n2. Substitute u = i + 4 to g, which gives g = i + 23.\n3. Substitute i = f + 19 to g, which gives g = f + 42.\n4. Substitute f = q + 9 to g, which gives g = q + 51.\n5. Substitute q = z + 20 to g, which gives g = z + 71.\n6. Substitute z = 13 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 9972,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 9; j = n + 14; q = z + 20; y = v + 16; l = u + 12; s = z + 5; v = j + 14; z = 13; g = l + 7; i = f + 19; b = y + 14; f = q + 9; u = i + 4. Given that z = 13, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 3", "r": "p + 1", "q": "r + 13", "k": "q + 15", "c": "k + 12", "j": "c + 5", "d": "t + 10", "x": "d + 3", "u": "x + 3", "f": "u + 4", "l": "f + 8", "s": "l + 14", "t": 8}, "premises": {"t": 8}, "target": "j"}, "answer": {"steps": [["c", "k + 12", "k + 17"], ["k", "q + 15", "q + 32"], ["q", "r + 13", "r + 45"], ["r", "p + 1", "p + 46"], ["p", "t + 3", "t + 49"], ["t", 8, "57"]], "target_var_name": "j", "target_value": 57, "value_dict": {"t": 8}, "is_reverse": true}} | 9,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = t + 3; s = l + 14; u = x + 3; x = d + 3; k = q + 15; q = r + 13; d = t + 10; r = p + 1; l = f + 8; c = k + 12; f = u + 4; j = c + 5; t = 8. If t = 8, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = k + 12 to j, which gives j = k + 17.\n2. Substitute k = q + 15 to j, which gives j = q + 32.\n3. Substitute q = r + 13 to j, which gives j = r + 45.\n4. Substitute r = p + 1 to j, which gives j = p + 46.\n5. Substitute p = t + 3 to j, which gives j = t + 49.\n6. Substitute t = 8 to j, which gives j = 57.\n\nThus, the final answer is j = \\boxed{57}.",
"index": 9973,
"question": "Consider a system of variables where each variable is defined as follows: p = t + 3; s = l + 14; u = x + 3; x = d + 3; k = q + 15; q = r + 13; d = t + 10; r = p + 1; l = f + 8; c = k + 12; f = u + 4; j = c + 5; t = 8. If t = 8, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 3", "y": "e + 10", "h": "y + 8", "z": "h + 5", "q": "z + 5", "j": "q + 5", "o": "r + 2", "d": "o + 19", "u": "d + 11", "f": "u + 6", "a": "f + 17", "s": "a + 4", "r": 2}, "premises": {"r": 2}, "target": "j"}, "answer": {"steps": [["q", "z + 5", "z + 10"], ["z", "h + 5", "h + 15"], ["h", "y + 8", "y + 23"], ["y", "e + 10", "e + 33"], ["e", "r + 3", "r + 36"], ["r", 2, "38"]], "target_var_name": "j", "target_value": 38, "value_dict": {"r": 2}, "is_reverse": true}} | 9,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 2; f = u + 6; e = r + 3; a = f + 17; q = z + 5; o = r + 2; j = q + 5; u = d + 11; z = h + 5; y = e + 10; s = a + 4; h = y + 8; d = o + 19. Given that r = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 38,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 5 to j, which gives j = z + 10.\n2. Substitute z = h + 5 to j, which gives j = h + 15.\n3. Substitute h = y + 8 to j, which gives j = y + 23.\n4. Substitute y = e + 10 to j, which gives j = e + 33.\n5. Substitute e = r + 3 to j, which gives j = r + 36.\n6. Substitute r = 2 to j, which gives j = 38.\n\nThus, the final answer is j = \\boxed{38}.",
"index": 9974,
"question": "Suppose a collection of variables is related by the following definitions: r = 2; f = u + 6; e = r + 3; a = f + 17; q = z + 5; o = r + 2; j = q + 5; u = d + 11; z = h + 5; y = e + 10; s = a + 4; h = y + 8; d = o + 19. Given that r = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 19", "w": "d + 12", "n": "w + 18", "z": "n + 18", "i": "z + 9", "t": "i + 20", "h": "l + 18", "m": "h + 16", "e": "m + 20", "y": "e + 3", "o": "y + 2", "f": "o + 8", "l": 5}, "premises": {"l": 5}, "target": "t"}, "answer": {"steps": [["i", "z + 9", "z + 29"], ["z", "n + 18", "n + 47"], ["n", "w + 18", "w + 65"], ["w", "d + 12", "d + 77"], ["d", "l + 19", "l + 96"], ["l", 5, "101"]], "target_var_name": "t", "target_value": 101, "value_dict": {"l": 5}, "is_reverse": true}} | 9,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = d + 12; m = h + 16; z = n + 18; l = 5; f = o + 8; o = y + 2; d = l + 19; t = i + 20; h = l + 18; e = m + 20; y = e + 3; i = z + 9; n = w + 18. If l = 5, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 9 to t, which gives t = z + 29.\n2. Substitute z = n + 18 to t, which gives t = n + 47.\n3. Substitute n = w + 18 to t, which gives t = w + 65.\n4. Substitute w = d + 12 to t, which gives t = d + 77.\n5. Substitute d = l + 19 to t, which gives t = l + 96.\n6. Substitute l = 5 to t, which gives t = 101.\n\nThus, the final answer is t = \\boxed{101}.",
"index": 9975,
"question": "Consider a system of variables where each variable is defined as follows: w = d + 12; m = h + 16; z = n + 18; l = 5; f = o + 8; o = y + 2; d = l + 19; t = i + 20; h = l + 18; e = m + 20; y = e + 3; i = z + 9; n = w + 18. If l = 5, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 4", "e": "i + 13", "c": "e + 2", "k": "c + 14", "a": "k + 15", "b": "a + 9", "z": "h + 5", "s": "z + 17", "x": "s + 4", "f": "x + 9", "d": "f + 5", "t": "d + 19", "h": 20}, "premises": {"h": 20}, "target": "b"}, "answer": {"steps": [["a", "k + 15", "k + 24"], ["k", "c + 14", "c + 38"], ["c", "e + 2", "e + 40"], ["e", "i + 13", "i + 53"], ["i", "h + 4", "h + 57"], ["h", 20, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"h": 20}, "is_reverse": true}} | 9,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = d + 19; b = a + 9; f = x + 9; i = h + 4; k = c + 14; a = k + 15; x = s + 4; s = z + 17; d = f + 5; h = 20; e = i + 13; c = e + 2; z = h + 5. If h = 20, determine the 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 a = k + 15 to b, which gives b = k + 24.\n2. Substitute k = c + 14 to b, which gives b = c + 38.\n3. Substitute c = e + 2 to b, which gives b = e + 40.\n4. Substitute e = i + 13 to b, which gives b = i + 53.\n5. Substitute i = h + 4 to b, which gives b = h + 57.\n6. Substitute h = 20 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 9976,
"question": "Consider a system of variables where each variable is defined as follows: t = d + 19; b = a + 9; f = x + 9; i = h + 4; k = c + 14; a = k + 15; x = s + 4; s = z + 17; d = f + 5; h = 20; e = i + 13; c = e + 2; z = h + 5. If h = 20, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 14", "w": "h + 5", "g": "w + 8", "t": "g + 10", "k": "t + 7", "j": "k + 1", "v": "c + 18", "e": "v + 14", "z": "e + 5", "s": "z + 20", "f": "s + 1", "o": "f + 5", "c": 18}, "premises": {"c": 18}, "target": "j"}, "answer": {"steps": [["k", "t + 7", "t + 8"], ["t", "g + 10", "g + 18"], ["g", "w + 8", "w + 26"], ["w", "h + 5", "h + 31"], ["h", "c + 14", "c + 45"], ["c", 18, "63"]], "target_var_name": "j", "target_value": 63, "value_dict": {"c": 18}, "is_reverse": true}} | 9,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = s + 1; j = k + 1; h = c + 14; c = 18; e = v + 14; g = w + 8; s = z + 20; v = c + 18; o = f + 5; w = h + 5; t = g + 10; k = t + 7; z = e + 5. If c = 18, 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 k = t + 7 to j, which gives j = t + 8.\n2. Substitute t = g + 10 to j, which gives j = g + 18.\n3. Substitute g = w + 8 to j, which gives j = w + 26.\n4. Substitute w = h + 5 to j, which gives j = h + 31.\n5. Substitute h = c + 14 to j, which gives j = c + 45.\n6. Substitute c = 18 to j, which gives j = 63.\n\nThus, the final answer is j = \\boxed{63}.",
"index": 9977,
"question": "Consider a system of variables where each variable is defined as follows: f = s + 1; j = k + 1; h = c + 14; c = 18; e = v + 14; g = w + 8; s = z + 20; v = c + 18; o = f + 5; w = h + 5; t = g + 10; k = t + 7; z = e + 5. If c = 18, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 9", "v": "o + 5", "i": "v + 20", "g": "i + 9", "x": "g + 10", "n": "x + 20", "h": "s + 18", "j": "h + 1", "z": "j + 15", "p": "z + 20", "r": "p + 14", "t": "r + 12", "s": 1}, "premises": {"s": 1}, "target": "n"}, "answer": {"steps": [["x", "g + 10", "g + 30"], ["g", "i + 9", "i + 39"], ["i", "v + 20", "v + 59"], ["v", "o + 5", "o + 64"], ["o", "s + 9", "s + 73"], ["s", 1, "74"]], "target_var_name": "n", "target_value": 74, "value_dict": {"s": 1}, "is_reverse": true}} | 9,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = j + 15; x = g + 10; h = s + 18; t = r + 12; o = s + 9; s = 1; i = v + 20; v = o + 5; p = z + 20; g = i + 9; n = x + 20; j = h + 1; r = p + 14. Given that s = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = g + 10 to n, which gives n = g + 30.\n2. Substitute g = i + 9 to n, which gives n = i + 39.\n3. Substitute i = v + 20 to n, which gives n = v + 59.\n4. Substitute v = o + 5 to n, which gives n = o + 64.\n5. Substitute o = s + 9 to n, which gives n = s + 73.\n6. Substitute s = 1 to n, which gives n = 74.\n\nThus, the final answer is n = \\boxed{74}.",
"index": 9978,
"question": "Suppose a collection of variables is related by the following definitions: z = j + 15; x = g + 10; h = s + 18; t = r + 12; o = s + 9; s = 1; i = v + 20; v = o + 5; p = z + 20; g = i + 9; n = x + 20; j = h + 1; r = p + 14. Given that s = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 16", "j": "m + 13", "l": "j + 13", "f": "l + 10", "q": "f + 7", "u": "q + 14", "d": "r + 20", "a": "d + 5", "b": "a + 8", "e": "b + 4", "g": "e + 11", "t": "g + 6", "r": 10}, "premises": {"r": 10}, "target": "u"}, "answer": {"steps": [["q", "f + 7", "f + 21"], ["f", "l + 10", "l + 31"], ["l", "j + 13", "j + 44"], ["j", "m + 13", "m + 57"], ["m", "r + 16", "r + 73"], ["r", 10, "83"]], "target_var_name": "u", "target_value": 83, "value_dict": {"r": 10}, "is_reverse": true}} | 9,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 6; u = q + 14; b = a + 8; l = j + 13; f = l + 10; e = b + 4; d = r + 20; a = d + 5; g = e + 11; r = 10; q = f + 7; m = r + 16; j = m + 13. Given that r = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = f + 7 to u, which gives u = f + 21.\n2. Substitute f = l + 10 to u, which gives u = l + 31.\n3. Substitute l = j + 13 to u, which gives u = j + 44.\n4. Substitute j = m + 13 to u, which gives u = m + 57.\n5. Substitute m = r + 16 to u, which gives u = r + 73.\n6. Substitute r = 10 to u, which gives u = 83.\n\nThus, the final answer is u = \\boxed{83}.",
"index": 9979,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 6; u = q + 14; b = a + 8; l = j + 13; f = l + 10; e = b + 4; d = r + 20; a = d + 5; g = e + 11; r = 10; q = f + 7; m = r + 16; j = m + 13. Given that r = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 20", "v": "c + 11", "t": "v + 11", "m": "t + 9", "k": "m + 16", "b": "k + 15", "i": "r + 14", "j": "i + 19", "o": "j + 6", "p": "o + 10", "h": "p + 19", "g": "h + 15", "r": 10}, "premises": {"r": 10}, "target": "b"}, "answer": {"steps": [["k", "m + 16", "m + 31"], ["m", "t + 9", "t + 40"], ["t", "v + 11", "v + 51"], ["v", "c + 11", "c + 62"], ["c", "r + 20", "r + 82"], ["r", 10, "92"]], "target_var_name": "b", "target_value": 92, "value_dict": {"r": 10}, "is_reverse": true}} | 9,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 14; h = p + 19; g = h + 15; v = c + 11; b = k + 15; c = r + 20; t = v + 11; j = i + 19; k = m + 16; r = 10; o = j + 6; m = t + 9; p = o + 10. If r = 10, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 16 to b, which gives b = m + 31.\n2. Substitute m = t + 9 to b, which gives b = t + 40.\n3. Substitute t = v + 11 to b, which gives b = v + 51.\n4. Substitute v = c + 11 to b, which gives b = c + 62.\n5. Substitute c = r + 20 to b, which gives b = r + 82.\n6. Substitute r = 10 to b, which gives b = 92.\n\nThus, the final answer is b = \\boxed{92}.",
"index": 9980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 14; h = p + 19; g = h + 15; v = c + 11; b = k + 15; c = r + 20; t = v + 11; j = i + 19; k = m + 16; r = 10; o = j + 6; m = t + 9; p = o + 10. If r = 10, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 4", "e": "d + 16", "g": "e + 11", "t": "g + 2", "y": "t + 11", "z": "y + 17", "b": "l + 13", "v": "b + 6", "s": "v + 12", "k": "s + 15", "o": "k + 6", "j": "o + 14", "l": 6}, "premises": {"l": 6}, "target": "z"}, "answer": {"steps": [["y", "t + 11", "t + 28"], ["t", "g + 2", "g + 30"], ["g", "e + 11", "e + 41"], ["e", "d + 16", "d + 57"], ["d", "l + 4", "l + 61"], ["l", 6, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"l": 6}, "is_reverse": true}} | 9,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 14; o = k + 6; v = b + 6; g = e + 11; b = l + 13; s = v + 12; k = s + 15; t = g + 2; e = d + 16; z = y + 17; l = 6; y = t + 11; d = l + 4. Given that l = 6, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = t + 11 to z, which gives z = t + 28.\n2. Substitute t = g + 2 to z, which gives z = g + 30.\n3. Substitute g = e + 11 to z, which gives z = e + 41.\n4. Substitute e = d + 16 to z, which gives z = d + 57.\n5. Substitute d = l + 4 to z, which gives z = l + 61.\n6. Substitute l = 6 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 9981,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 14; o = k + 6; v = b + 6; g = e + 11; b = l + 13; s = v + 12; k = s + 15; t = g + 2; e = d + 16; z = y + 17; l = 6; y = t + 11; d = l + 4. Given that l = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "r + 19", "q": "u + 3", "g": "q + 3", "s": "g + 2", "c": "s + 16", "d": "c + 19", "n": "r + 11", "o": "n + 16", "w": "o + 4", "y": "w + 12", "e": "y + 9", "i": "e + 1", "r": 10}, "premises": {"r": 10}, "target": "d"}, "answer": {"steps": [["c", "s + 16", "s + 35"], ["s", "g + 2", "g + 37"], ["g", "q + 3", "q + 40"], ["q", "u + 3", "u + 43"], ["u", "r + 19", "r + 62"], ["r", 10, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"r": 10}, "is_reverse": true}} | 9,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = q + 3; i = e + 1; c = s + 16; e = y + 9; n = r + 11; o = n + 16; d = c + 19; s = g + 2; q = u + 3; y = w + 12; w = o + 4; r = 10; u = r + 19. If r = 10, determine 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 c = s + 16 to d, which gives d = s + 35.\n2. Substitute s = g + 2 to d, which gives d = g + 37.\n3. Substitute g = q + 3 to d, which gives d = q + 40.\n4. Substitute q = u + 3 to d, which gives d = u + 43.\n5. Substitute u = r + 19 to d, which gives d = r + 62.\n6. Substitute r = 10 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 9982,
"question": "Consider a system of variables where each variable is defined as follows: g = q + 3; i = e + 1; c = s + 16; e = y + 9; n = r + 11; o = n + 16; d = c + 19; s = g + 2; q = u + 3; y = w + 12; w = o + 4; r = 10; u = r + 19. If r = 10, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 20", "w": "s + 3", "j": "w + 19", "h": "j + 18", "u": "h + 19", "n": "u + 16", "r": "o + 2", "m": "r + 15", "p": "m + 11", "g": "p + 14", "l": "g + 9", "c": "l + 8", "o": 1}, "premises": {"o": 1}, "target": "n"}, "answer": {"steps": [["u", "h + 19", "h + 35"], ["h", "j + 18", "j + 53"], ["j", "w + 19", "w + 72"], ["w", "s + 3", "s + 75"], ["s", "o + 20", "o + 95"], ["o", 1, "96"]], "target_var_name": "n", "target_value": 96, "value_dict": {"o": 1}, "is_reverse": true}} | 9,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = p + 14; u = h + 19; w = s + 3; m = r + 15; n = u + 16; r = o + 2; c = l + 8; s = o + 20; p = m + 11; j = w + 19; h = j + 18; l = g + 9; o = 1. Given that o = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = h + 19 to n, which gives n = h + 35.\n2. Substitute h = j + 18 to n, which gives n = j + 53.\n3. Substitute j = w + 19 to n, which gives n = w + 72.\n4. Substitute w = s + 3 to n, which gives n = s + 75.\n5. Substitute s = o + 20 to n, which gives n = o + 95.\n6. Substitute o = 1 to n, which gives n = 96.\n\nThus, the final answer is n = \\boxed{96}.",
"index": 9983,
"question": "Suppose a collection of variables is related by the following definitions: g = p + 14; u = h + 19; w = s + 3; m = r + 15; n = u + 16; r = o + 2; c = l + 8; s = o + 20; p = m + 11; j = w + 19; h = j + 18; l = g + 9; o = 1. Given that o = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "r + 11", "v": "p + 11", "c": "v + 16", "t": "c + 20", "b": "t + 12", "f": "b + 15", "u": "r + 10", "z": "u + 10", "w": "z + 11", "g": "w + 8", "h": "g + 4", "j": "h + 6", "r": 12}, "premises": {"r": 12}, "target": "f"}, "answer": {"steps": [["b", "t + 12", "t + 27"], ["t", "c + 20", "c + 47"], ["c", "v + 16", "v + 63"], ["v", "p + 11", "p + 74"], ["p", "r + 11", "r + 85"], ["r", 12, "97"]], "target_var_name": "f", "target_value": 97, "value_dict": {"r": 12}, "is_reverse": true}} | 9,984 | 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 = b + 15; z = u + 10; h = g + 4; c = v + 16; u = r + 10; w = z + 11; r = 12; p = r + 11; v = p + 11; b = t + 12; g = w + 8; j = h + 6; t = c + 20. If r = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 12 to f, which gives f = t + 27.\n2. Substitute t = c + 20 to f, which gives f = c + 47.\n3. Substitute c = v + 16 to f, which gives f = v + 63.\n4. Substitute v = p + 11 to f, which gives f = p + 74.\n5. Substitute p = r + 11 to f, which gives f = r + 85.\n6. Substitute r = 12 to f, which gives f = 97.\n\nThus, the final answer is f = \\boxed{97}.",
"index": 9984,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = b + 15; z = u + 10; h = g + 4; c = v + 16; u = r + 10; w = z + 11; r = 12; p = r + 11; v = p + 11; b = t + 12; g = w + 8; j = h + 6; t = c + 20. If r = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 2", "h": "i + 2", "r": "h + 8", "t": "r + 2", "z": "t + 13", "f": "z + 17", "p": "b + 17", "o": "p + 14", "a": "o + 6", "n": "a + 6", "l": "n + 11", "w": "l + 20", "b": 7}, "premises": {"b": 7}, "target": "f"}, "answer": {"steps": [["z", "t + 13", "t + 30"], ["t", "r + 2", "r + 32"], ["r", "h + 8", "h + 40"], ["h", "i + 2", "i + 42"], ["i", "b + 2", "b + 44"], ["b", 7, "51"]], "target_var_name": "f", "target_value": 51, "value_dict": {"b": 7}, "is_reverse": true}} | 9,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = 7; h = i + 2; n = a + 6; z = t + 13; f = z + 17; r = h + 8; i = b + 2; w = l + 20; l = n + 11; o = p + 14; p = b + 17; t = r + 2; a = o + 6. If b = 7, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = t + 13 to f, which gives f = t + 30.\n2. Substitute t = r + 2 to f, which gives f = r + 32.\n3. Substitute r = h + 8 to f, which gives f = h + 40.\n4. Substitute h = i + 2 to f, which gives f = i + 42.\n5. Substitute i = b + 2 to f, which gives f = b + 44.\n6. Substitute b = 7 to f, which gives f = 51.\n\nThus, the final answer is f = \\boxed{51}.",
"index": 9985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = 7; h = i + 2; n = a + 6; z = t + 13; f = z + 17; r = h + 8; i = b + 2; w = l + 20; l = n + 11; o = p + 14; p = b + 17; t = r + 2; a = o + 6. If b = 7, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 19", "t": "o + 15", "n": "t + 20", "x": "n + 1", "r": "x + 9", "s": "r + 7", "c": "l + 7", "p": "c + 10", "i": "p + 2", "h": "i + 3", "k": "h + 10", "w": "k + 13", "l": 16}, "premises": {"l": 16}, "target": "s"}, "answer": {"steps": [["r", "x + 9", "x + 16"], ["x", "n + 1", "n + 17"], ["n", "t + 20", "t + 37"], ["t", "o + 15", "o + 52"], ["o", "l + 19", "l + 71"], ["l", 16, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"l": 16}, "is_reverse": true}} | 9,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 2; w = k + 13; c = l + 7; x = n + 1; l = 16; s = r + 7; k = h + 10; r = x + 9; t = o + 15; p = c + 10; o = l + 19; h = i + 3; n = t + 20. If l = 16, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 9 to s, which gives s = x + 16.\n2. Substitute x = n + 1 to s, which gives s = n + 17.\n3. Substitute n = t + 20 to s, which gives s = t + 37.\n4. Substitute t = o + 15 to s, which gives s = o + 52.\n5. Substitute o = l + 19 to s, which gives s = l + 71.\n6. Substitute l = 16 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 9986,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 2; w = k + 13; c = l + 7; x = n + 1; l = 16; s = r + 7; k = h + 10; r = x + 9; t = o + 15; p = c + 10; o = l + 19; h = i + 3; n = t + 20. If l = 16, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 8", "a": "u + 8", "b": "a + 2", "y": "b + 4", "o": "y + 9", "p": "o + 4", "i": "h + 10", "c": "i + 14", "s": "c + 13", "g": "s + 3", "t": "g + 9", "q": "t + 15", "h": 19}, "premises": {"h": 19}, "target": "p"}, "answer": {"steps": [["o", "y + 9", "y + 13"], ["y", "b + 4", "b + 17"], ["b", "a + 2", "a + 19"], ["a", "u + 8", "u + 27"], ["u", "h + 8", "h + 35"], ["h", 19, "54"]], "target_var_name": "p", "target_value": 54, "value_dict": {"h": 19}, "is_reverse": true}} | 9,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 15; p = o + 4; s = c + 13; g = s + 3; u = h + 8; h = 19; i = h + 10; y = b + 4; o = y + 9; a = u + 8; t = g + 9; b = a + 2; c = i + 14. If h = 19, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = y + 9 to p, which gives p = y + 13.\n2. Substitute y = b + 4 to p, which gives p = b + 17.\n3. Substitute b = a + 2 to p, which gives p = a + 19.\n4. Substitute a = u + 8 to p, which gives p = u + 27.\n5. Substitute u = h + 8 to p, which gives p = h + 35.\n6. Substitute h = 19 to p, which gives p = 54.\n\nThus, the final answer is p = \\boxed{54}.",
"index": 9987,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = t + 15; p = o + 4; s = c + 13; g = s + 3; u = h + 8; h = 19; i = h + 10; y = b + 4; o = y + 9; a = u + 8; t = g + 9; b = a + 2; c = i + 14. If h = 19, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"o": "d + 11", "u": "o + 6", "c": "u + 15", "m": "c + 7", "s": "m + 7", "w": "s + 18", "n": "d + 4", "t": "n + 14", "y": "t + 5", "x": "y + 5", "e": "x + 11", "p": "e + 2", "d": 19}, "premises": {"d": 19}, "target": "w"}, "answer": {"steps": [["s", "m + 7", "m + 25"], ["m", "c + 7", "c + 32"], ["c", "u + 15", "u + 47"], ["u", "o + 6", "o + 53"], ["o", "d + 11", "d + 64"], ["d", 19, "83"]], "target_var_name": "w", "target_value": 83, "value_dict": {"d": 19}, "is_reverse": true}} | 9,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = s + 18; m = c + 7; y = t + 5; d = 19; t = n + 14; x = y + 5; p = e + 2; s = m + 7; e = x + 11; u = o + 6; c = u + 15; n = d + 4; o = d + 11. Given that d = 19, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 7 to w, which gives w = m + 25.\n2. Substitute m = c + 7 to w, which gives w = c + 32.\n3. Substitute c = u + 15 to w, which gives w = u + 47.\n4. Substitute u = o + 6 to w, which gives w = o + 53.\n5. Substitute o = d + 11 to w, which gives w = d + 64.\n6. Substitute d = 19 to w, which gives w = 83.\n\nThus, the final answer is w = \\boxed{83}.",
"index": 9988,
"question": "Suppose a collection of variables is related by the following definitions: w = s + 18; m = c + 7; y = t + 5; d = 19; t = n + 14; x = y + 5; p = e + 2; s = m + 7; e = x + 11; u = o + 6; c = u + 15; n = d + 4; o = d + 11. Given that d = 19, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 6", "o": "s + 5", "u": "o + 2", "z": "u + 4", "x": "z + 12", "m": "x + 9", "k": "y + 15", "e": "k + 8", "j": "e + 5", "v": "j + 13", "c": "v + 8", "f": "c + 5", "y": 9}, "premises": {"y": 9}, "target": "m"}, "answer": {"steps": [["x", "z + 12", "z + 21"], ["z", "u + 4", "u + 25"], ["u", "o + 2", "o + 27"], ["o", "s + 5", "s + 32"], ["s", "y + 6", "y + 38"], ["y", 9, "47"]], "target_var_name": "m", "target_value": 47, "value_dict": {"y": 9}, "is_reverse": true}} | 9,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = s + 5; j = e + 5; x = z + 12; s = y + 6; z = u + 4; v = j + 13; k = y + 15; e = k + 8; u = o + 2; y = 9; m = x + 9; f = c + 5; c = v + 8. Given that y = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 12 to m, which gives m = z + 21.\n2. Substitute z = u + 4 to m, which gives m = u + 25.\n3. Substitute u = o + 2 to m, which gives m = o + 27.\n4. Substitute o = s + 5 to m, which gives m = s + 32.\n5. Substitute s = y + 6 to m, which gives m = y + 38.\n6. Substitute y = 9 to m, which gives m = 47.\n\nThus, the final answer is m = \\boxed{47}.",
"index": 9989,
"question": "Suppose a collection of variables is related by the following definitions: o = s + 5; j = e + 5; x = z + 12; s = y + 6; z = u + 4; v = j + 13; k = y + 15; e = k + 8; u = o + 2; y = 9; m = x + 9; f = c + 5; c = v + 8. Given that y = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 9", "m": "a + 9", "p": "m + 9", "s": "p + 8", "y": "s + 14", "v": "y + 12", "r": "e + 13", "t": "r + 5", "u": "t + 15", "d": "u + 4", "j": "d + 6", "x": "j + 4", "e": 2}, "premises": {"e": 2}, "target": "v"}, "answer": {"steps": [["y", "s + 14", "s + 26"], ["s", "p + 8", "p + 34"], ["p", "m + 9", "m + 43"], ["m", "a + 9", "a + 52"], ["a", "e + 9", "e + 61"], ["e", 2, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"e": 2}, "is_reverse": true}} | 9,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = 2; r = e + 13; v = y + 12; t = r + 5; j = d + 6; d = u + 4; s = p + 8; a = e + 9; x = j + 4; u = t + 15; p = m + 9; y = s + 14; m = a + 9. If e = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 14 to v, which gives v = s + 26.\n2. Substitute s = p + 8 to v, which gives v = p + 34.\n3. Substitute p = m + 9 to v, which gives v = m + 43.\n4. Substitute m = a + 9 to v, which gives v = a + 52.\n5. Substitute a = e + 9 to v, which gives v = e + 61.\n6. Substitute e = 2 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 9990,
"question": "Consider a system of variables where each variable is defined as follows: e = 2; r = e + 13; v = y + 12; t = r + 5; j = d + 6; d = u + 4; s = p + 8; a = e + 9; x = j + 4; u = t + 15; p = m + 9; y = s + 14; m = a + 9. If e = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 17", "v": "q + 12", "d": "v + 18", "x": "d + 10", "g": "x + 12", "y": "g + 18", "o": "r + 19", "i": "o + 15", "a": "i + 7", "w": "a + 15", "z": "w + 10", "p": "z + 3", "r": 13}, "premises": {"r": 13}, "target": "y"}, "answer": {"steps": [["g", "x + 12", "x + 30"], ["x", "d + 10", "d + 40"], ["d", "v + 18", "v + 58"], ["v", "q + 12", "q + 70"], ["q", "r + 17", "r + 87"], ["r", 13, "100"]], "target_var_name": "y", "target_value": 100, "value_dict": {"r": 13}, "is_reverse": true}} | 9,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 7; o = r + 19; y = g + 18; q = r + 17; v = q + 12; z = w + 10; r = 13; i = o + 15; x = d + 10; g = x + 12; p = z + 3; w = a + 15; d = v + 18. If r = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = x + 12 to y, which gives y = x + 30.\n2. Substitute x = d + 10 to y, which gives y = d + 40.\n3. Substitute d = v + 18 to y, which gives y = v + 58.\n4. Substitute v = q + 12 to y, which gives y = q + 70.\n5. Substitute q = r + 17 to y, which gives y = r + 87.\n6. Substitute r = 13 to y, which gives y = 100.\n\nThus, the final answer is y = \\boxed{100}.",
"index": 9991,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 7; o = r + 19; y = g + 18; q = r + 17; v = q + 12; z = w + 10; r = 13; i = o + 15; x = d + 10; g = x + 12; p = z + 3; w = a + 15; d = v + 18. If r = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"l": "o + 12", "d": "l + 20", "g": "d + 16", "a": "g + 2", "w": "a + 19", "x": "w + 13", "n": "o + 1", "k": "n + 17", "u": "k + 6", "y": "u + 11", "h": "y + 16", "q": "h + 1", "o": 15}, "premises": {"o": 15}, "target": "x"}, "answer": {"steps": [["w", "a + 19", "a + 32"], ["a", "g + 2", "g + 34"], ["g", "d + 16", "d + 50"], ["d", "l + 20", "l + 70"], ["l", "o + 12", "o + 82"], ["o", 15, "97"]], "target_var_name": "x", "target_value": 97, "value_dict": {"o": 15}, "is_reverse": true}} | 9,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = a + 19; g = d + 16; q = h + 1; n = o + 1; k = n + 17; d = l + 20; l = o + 12; y = u + 11; o = 15; a = g + 2; u = k + 6; x = w + 13; h = y + 16. If o = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 19 to x, which gives x = a + 32.\n2. Substitute a = g + 2 to x, which gives x = g + 34.\n3. Substitute g = d + 16 to x, which gives x = d + 50.\n4. Substitute d = l + 20 to x, which gives x = l + 70.\n5. Substitute l = o + 12 to x, which gives x = o + 82.\n6. Substitute o = 15 to x, which gives x = 97.\n\nThus, the final answer is x = \\boxed{97}.",
"index": 9992,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 19; g = d + 16; q = h + 1; n = o + 1; k = n + 17; d = l + 20; l = o + 12; y = u + 11; o = 15; a = g + 2; u = k + 6; x = w + 13; h = y + 16. If o = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 2", "n": "b + 8", "l": "n + 16", "g": "l + 12", "a": "g + 17", "f": "a + 5", "j": "q + 12", "v": "j + 6", "k": "v + 14", "m": "k + 12", "z": "m + 20", "o": "z + 11", "q": 6}, "premises": {"q": 6}, "target": "f"}, "answer": {"steps": [["a", "g + 17", "g + 22"], ["g", "l + 12", "l + 34"], ["l", "n + 16", "n + 50"], ["n", "b + 8", "b + 58"], ["b", "q + 2", "q + 60"], ["q", 6, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"q": 6}, "is_reverse": true}} | 9,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = j + 6; g = l + 12; n = b + 8; b = q + 2; a = g + 17; q = 6; f = a + 5; o = z + 11; j = q + 12; m = k + 12; l = n + 16; k = v + 14; z = m + 20. If q = 6, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = g + 17 to f, which gives f = g + 22.\n2. Substitute g = l + 12 to f, which gives f = l + 34.\n3. Substitute l = n + 16 to f, which gives f = n + 50.\n4. Substitute n = b + 8 to f, which gives f = b + 58.\n5. Substitute b = q + 2 to f, which gives f = q + 60.\n6. Substitute q = 6 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 9993,
"question": "Consider a system of variables where each variable is defined as follows: v = j + 6; g = l + 12; n = b + 8; b = q + 2; a = g + 17; q = 6; f = a + 5; o = z + 11; j = q + 12; m = k + 12; l = n + 16; k = v + 14; z = m + 20. If q = 6, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 2", "m": "t + 1", "a": "m + 7", "b": "a + 9", "k": "b + 18", "j": "k + 16", "d": "y + 12", "x": "d + 2", "f": "x + 3", "c": "f + 1", "z": "c + 1", "w": "z + 3", "y": 1}, "premises": {"y": 1}, "target": "j"}, "answer": {"steps": [["k", "b + 18", "b + 34"], ["b", "a + 9", "a + 43"], ["a", "m + 7", "m + 50"], ["m", "t + 1", "t + 51"], ["t", "y + 2", "y + 53"], ["y", 1, "54"]], "target_var_name": "j", "target_value": 54, "value_dict": {"y": 1}, "is_reverse": true}} | 9,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 1; x = d + 2; z = c + 1; j = k + 16; a = m + 7; y = 1; f = x + 3; t = y + 2; w = z + 3; b = a + 9; k = b + 18; m = t + 1; d = y + 12. If y = 1, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = b + 18 to j, which gives j = b + 34.\n2. Substitute b = a + 9 to j, which gives j = a + 43.\n3. Substitute a = m + 7 to j, which gives j = m + 50.\n4. Substitute m = t + 1 to j, which gives j = t + 51.\n5. Substitute t = y + 2 to j, which gives j = y + 53.\n6. Substitute y = 1 to j, which gives j = 54.\n\nThus, the final answer is j = \\boxed{54}.",
"index": 9994,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 1; x = d + 2; z = c + 1; j = k + 16; a = m + 7; y = 1; f = x + 3; t = y + 2; w = z + 3; b = a + 9; k = b + 18; m = t + 1; d = y + 12. If y = 1, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"h": "d + 16", "a": "h + 14", "z": "a + 5", "l": "z + 5", "q": "l + 5", "w": "q + 14", "s": "d + 13", "n": "s + 2", "u": "n + 12", "b": "u + 3", "p": "b + 19", "r": "p + 19", "d": 9}, "premises": {"d": 9}, "target": "w"}, "answer": {"steps": [["q", "l + 5", "l + 19"], ["l", "z + 5", "z + 24"], ["z", "a + 5", "a + 29"], ["a", "h + 14", "h + 43"], ["h", "d + 16", "d + 59"], ["d", 9, "68"]], "target_var_name": "w", "target_value": 68, "value_dict": {"d": 9}, "is_reverse": true}} | 9,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = b + 19; z = a + 5; a = h + 14; q = l + 5; n = s + 2; l = z + 5; s = d + 13; r = p + 19; d = 9; w = q + 14; h = d + 16; u = n + 12; b = u + 3. If d = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 5 to w, which gives w = l + 19.\n2. Substitute l = z + 5 to w, which gives w = z + 24.\n3. Substitute z = a + 5 to w, which gives w = a + 29.\n4. Substitute a = h + 14 to w, which gives w = h + 43.\n5. Substitute h = d + 16 to w, which gives w = d + 59.\n6. Substitute d = 9 to w, which gives w = 68.\n\nThus, the final answer is w = \\boxed{68}.",
"index": 9995,
"question": "Consider a system of variables where each variable is defined as follows: p = b + 19; z = a + 5; a = h + 14; q = l + 5; n = s + 2; l = z + 5; s = d + 13; r = p + 19; d = 9; w = q + 14; h = d + 16; u = n + 12; b = u + 3. If d = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 4", "g": "a + 13", "l": "g + 7", "o": "l + 2", "w": "o + 18", "m": "w + 11", "q": "j + 17", "f": "q + 12", "e": "f + 20", "r": "e + 13", "k": "r + 11", "s": "k + 7", "j": 9}, "premises": {"j": 9}, "target": "m"}, "answer": {"steps": [["w", "o + 18", "o + 29"], ["o", "l + 2", "l + 31"], ["l", "g + 7", "g + 38"], ["g", "a + 13", "a + 51"], ["a", "j + 4", "j + 55"], ["j", 9, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"j": 9}, "is_reverse": true}} | 9,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = q + 12; l = g + 7; m = w + 11; r = e + 13; s = k + 7; q = j + 17; j = 9; w = o + 18; e = f + 20; k = r + 11; a = j + 4; o = l + 2; g = a + 13. If j = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 18 to m, which gives m = o + 29.\n2. Substitute o = l + 2 to m, which gives m = l + 31.\n3. Substitute l = g + 7 to m, which gives m = g + 38.\n4. Substitute g = a + 13 to m, which gives m = a + 51.\n5. Substitute a = j + 4 to m, which gives m = j + 55.\n6. Substitute j = 9 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 9996,
"question": "Consider a system of variables where each variable is defined as follows: f = q + 12; l = g + 7; m = w + 11; r = e + 13; s = k + 7; q = j + 17; j = 9; w = o + 18; e = f + 20; k = r + 11; a = j + 4; o = l + 2; g = a + 13. If j = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "h + 4", "e": "m + 20", "x": "e + 17", "b": "x + 5", "l": "b + 16", "i": "l + 8", "q": "h + 15", "r": "q + 16", "o": "r + 16", "g": "o + 10", "v": "g + 4", "s": "v + 13", "h": 2}, "premises": {"h": 2}, "target": "i"}, "answer": {"steps": [["l", "b + 16", "b + 24"], ["b", "x + 5", "x + 29"], ["x", "e + 17", "e + 46"], ["e", "m + 20", "m + 66"], ["m", "h + 4", "h + 70"], ["h", 2, "72"]], "target_var_name": "i", "target_value": 72, "value_dict": {"h": 2}, "is_reverse": true}} | 9,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = x + 5; o = r + 16; r = q + 16; x = e + 17; l = b + 16; g = o + 10; q = h + 15; m = h + 4; s = v + 13; h = 2; e = m + 20; v = g + 4; i = l + 8. Given that h = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 16 to i, which gives i = b + 24.\n2. Substitute b = x + 5 to i, which gives i = x + 29.\n3. Substitute x = e + 17 to i, which gives i = e + 46.\n4. Substitute e = m + 20 to i, which gives i = m + 66.\n5. Substitute m = h + 4 to i, which gives i = h + 70.\n6. Substitute h = 2 to i, which gives i = 72.\n\nThus, the final answer is i = \\boxed{72}.",
"index": 9997,
"question": "Suppose a collection of variables is related by the following definitions: b = x + 5; o = r + 16; r = q + 16; x = e + 17; l = b + 16; g = o + 10; q = h + 15; m = h + 4; s = v + 13; h = 2; e = m + 20; v = g + 4; i = l + 8. Given that h = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 17", "u": "j + 5", "g": "u + 18", "n": "g + 17", "y": "n + 15", "p": "y + 8", "i": "x + 1", "e": "i + 12", "o": "e + 10", "q": "o + 16", "w": "q + 16", "m": "w + 1", "x": 8}, "premises": {"x": 8}, "target": "p"}, "answer": {"steps": [["y", "n + 15", "n + 23"], ["n", "g + 17", "g + 40"], ["g", "u + 18", "u + 58"], ["u", "j + 5", "j + 63"], ["j", "x + 17", "x + 80"], ["x", 8, "88"]], "target_var_name": "p", "target_value": 88, "value_dict": {"x": 8}, "is_reverse": true}} | 9,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 12; o = e + 10; x = 8; i = x + 1; j = x + 17; w = q + 16; g = u + 18; q = o + 16; m = w + 1; u = j + 5; n = g + 17; y = n + 15; p = y + 8. If x = 8, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 15 to p, which gives p = n + 23.\n2. Substitute n = g + 17 to p, which gives p = g + 40.\n3. Substitute g = u + 18 to p, which gives p = u + 58.\n4. Substitute u = j + 5 to p, which gives p = j + 63.\n5. Substitute j = x + 17 to p, which gives p = x + 80.\n6. Substitute x = 8 to p, which gives p = 88.\n\nThus, the final answer is p = \\boxed{88}.",
"index": 9998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 12; o = e + 10; x = 8; i = x + 1; j = x + 17; w = q + 16; g = u + 18; q = o + 16; m = w + 1; u = j + 5; n = g + 17; y = n + 15; p = y + 8. If x = 8, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 1", "l": "t + 6", "h": "l + 6", "s": "h + 9", "i": "s + 18", "j": "i + 10", "x": "m + 4", "k": "x + 11", "q": "k + 11", "c": "q + 6", "v": "c + 3", "z": "v + 10", "m": 17}, "premises": {"m": 17}, "target": "j"}, "answer": {"steps": [["i", "s + 18", "s + 28"], ["s", "h + 9", "h + 37"], ["h", "l + 6", "l + 43"], ["l", "t + 6", "t + 49"], ["t", "m + 1", "m + 50"], ["m", 17, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"m": 17}, "is_reverse": true}} | 9,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = m + 1; v = c + 3; i = s + 18; s = h + 9; c = q + 6; h = l + 6; m = 17; j = i + 10; l = t + 6; q = k + 11; x = m + 4; z = v + 10; k = x + 11. Given that m = 17, find the 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 i = s + 18 to j, which gives j = s + 28.\n2. Substitute s = h + 9 to j, which gives j = h + 37.\n3. Substitute h = l + 6 to j, which gives j = l + 43.\n4. Substitute l = t + 6 to j, which gives j = t + 49.\n5. Substitute t = m + 1 to j, which gives j = m + 50.\n6. Substitute m = 17 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 9999,
"question": "Suppose a collection of variables is related by the following definitions: t = m + 1; v = c + 3; i = s + 18; s = h + 9; c = q + 6; h = l + 6; m = 17; j = i + 10; l = t + 6; q = k + 11; x = m + 4; z = v + 10; k = x + 11. Given that m = 17, find the value of j.",
"split": "train"
} |
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