meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "y + 6", "b": "m + 3", "j": "b + 4", "o": "j + 1", "i": "o + 2", "a": "i + 13", "e": "y + 17", "u": "e + 19", "t": "u + 15", "s": "t + 14", "z": "s + 14", "n": "z + 1", "y": 16}, "premises": {"y": 16}, "target": "a"}, "answer": {"steps": [["i", "o + 2", "o + 15"], ["o", "j + 1", "j + 16"], ["j", "b + 4", "b + 20"], ["b", "m + 3", "m + 23"], ["m", "y + 6", "y + 29"], ["y", 16, "45"]], "target_var_name": "a", "target_value": 45, "value_dict": {"y": 16}, "is_reverse": true}} | 12,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 17; y = 16; b = m + 3; n = z + 1; z = s + 14; o = j + 1; j = b + 4; i = o + 2; t = u + 15; u = e + 19; s = t + 14; m = y + 6; a = i + 13. If y = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 2 to a, which gives a = o + 15.\n2. Substitute o = j + 1 to a, which gives a = j + 16.\n3. Substitute j = b + 4 to a, which gives a = b + 20.\n4. Substitute b = m + 3 to a, which gives a = m + 23.\n5. Substitute m = y + 6 to a, which gives a = y + 29.\n6. Substitute y = 16 to a, which gives a = 45.\n\nThus, the final answer is a = \\boxed{45}.",
"index": 12700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = y + 17; y = 16; b = m + 3; n = z + 1; z = s + 14; o = j + 1; j = b + 4; i = o + 2; t = u + 15; u = e + 19; s = t + 14; m = y + 6; a = i + 13. If y = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"f": "c + 9", "h": "f + 13", "n": "h + 12", "k": "n + 11", "i": "k + 3", "q": "i + 14", "d": "c + 13", "g": "d + 6", "s": "g + 15", "p": "s + 9", "l": "p + 19", "t": "l + 10", "c": 19}, "premises": {"c": 19}, "target": "q"}, "answer": {"steps": [["i", "k + 3", "k + 17"], ["k", "n + 11", "n + 28"], ["n", "h + 12", "h + 40"], ["h", "f + 13", "f + 53"], ["f", "c + 9", "c + 62"], ["c", 19, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"c": 19}, "is_reverse": true}} | 12,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = d + 6; p = s + 9; f = c + 9; k = n + 11; s = g + 15; i = k + 3; n = h + 12; c = 19; q = i + 14; t = l + 10; h = f + 13; d = c + 13; l = p + 19. Given that c = 19, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 3 to q, which gives q = k + 17.\n2. Substitute k = n + 11 to q, which gives q = n + 28.\n3. Substitute n = h + 12 to q, which gives q = h + 40.\n4. Substitute h = f + 13 to q, which gives q = f + 53.\n5. Substitute f = c + 9 to q, which gives q = c + 62.\n6. Substitute c = 19 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 12701,
"question": "Suppose a collection of variables is related by the following definitions: g = d + 6; p = s + 9; f = c + 9; k = n + 11; s = g + 15; i = k + 3; n = h + 12; c = 19; q = i + 14; t = l + 10; h = f + 13; d = c + 13; l = p + 19. Given that c = 19, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 18", "i": "n + 5", "s": "i + 6", "a": "s + 15", "l": "a + 4", "b": "l + 6", "k": "o + 18", "j": "k + 5", "p": "j + 17", "x": "p + 13", "y": "x + 16", "z": "y + 6", "o": 7}, "premises": {"o": 7}, "target": "b"}, "answer": {"steps": [["l", "a + 4", "a + 10"], ["a", "s + 15", "s + 25"], ["s", "i + 6", "i + 31"], ["i", "n + 5", "n + 36"], ["n", "o + 18", "o + 54"], ["o", 7, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"o": 7}, "is_reverse": true}} | 12,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = k + 5; n = o + 18; o = 7; l = a + 4; p = j + 17; s = i + 6; i = n + 5; a = s + 15; z = y + 6; x = p + 13; k = o + 18; b = l + 6; y = x + 16. Given that o = 7, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 4 to b, which gives b = a + 10.\n2. Substitute a = s + 15 to b, which gives b = s + 25.\n3. Substitute s = i + 6 to b, which gives b = i + 31.\n4. Substitute i = n + 5 to b, which gives b = n + 36.\n5. Substitute n = o + 18 to b, which gives b = o + 54.\n6. Substitute o = 7 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 12702,
"question": "Suppose a collection of variables is related by the following definitions: j = k + 5; n = o + 18; o = 7; l = a + 4; p = j + 17; s = i + 6; i = n + 5; a = s + 15; z = y + 6; x = p + 13; k = o + 18; b = l + 6; y = x + 16. Given that o = 7, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 5", "a": "j + 18", "l": "a + 9", "b": "l + 3", "r": "b + 6", "g": "r + 19", "n": "d + 8", "c": "n + 5", "f": "c + 5", "z": "f + 16", "w": "z + 20", "m": "w + 7", "d": 8}, "premises": {"d": 8}, "target": "g"}, "answer": {"steps": [["r", "b + 6", "b + 25"], ["b", "l + 3", "l + 28"], ["l", "a + 9", "a + 37"], ["a", "j + 18", "j + 55"], ["j", "d + 5", "d + 60"], ["d", 8, "68"]], "target_var_name": "g", "target_value": 68, "value_dict": {"d": 8}, "is_reverse": true}} | 12,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = f + 16; w = z + 20; c = n + 5; g = r + 19; n = d + 8; b = l + 3; l = a + 9; m = w + 7; f = c + 5; r = b + 6; a = j + 18; d = 8; j = d + 5. If d = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 6 to g, which gives g = b + 25.\n2. Substitute b = l + 3 to g, which gives g = l + 28.\n3. Substitute l = a + 9 to g, which gives g = a + 37.\n4. Substitute a = j + 18 to g, which gives g = j + 55.\n5. Substitute j = d + 5 to g, which gives g = d + 60.\n6. Substitute d = 8 to g, which gives g = 68.\n\nThus, the final answer is g = \\boxed{68}.",
"index": 12703,
"question": "Consider a system of variables where each variable is defined as follows: z = f + 16; w = z + 20; c = n + 5; g = r + 19; n = d + 8; b = l + 3; l = a + 9; m = w + 7; f = c + 5; r = b + 6; a = j + 18; d = 8; j = d + 5. If d = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 18", "v": "n + 20", "r": "v + 7", "b": "r + 2", "g": "b + 15", "h": "g + 3", "u": "t + 16", "e": "u + 1", "a": "e + 14", "f": "a + 13", "m": "f + 3", "i": "m + 9", "t": 16}, "premises": {"t": 16}, "target": "h"}, "answer": {"steps": [["g", "b + 15", "b + 18"], ["b", "r + 2", "r + 20"], ["r", "v + 7", "v + 27"], ["v", "n + 20", "n + 47"], ["n", "t + 18", "t + 65"], ["t", 16, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"t": 16}, "is_reverse": true}} | 12,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 20; g = b + 15; a = e + 14; t = 16; e = u + 1; n = t + 18; r = v + 7; f = a + 13; m = f + 3; b = r + 2; u = t + 16; i = m + 9; h = g + 3. If t = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 15 to h, which gives h = b + 18.\n2. Substitute b = r + 2 to h, which gives h = r + 20.\n3. Substitute r = v + 7 to h, which gives h = v + 27.\n4. Substitute v = n + 20 to h, which gives h = n + 47.\n5. Substitute n = t + 18 to h, which gives h = t + 65.\n6. Substitute t = 16 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 12704,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 20; g = b + 15; a = e + 14; t = 16; e = u + 1; n = t + 18; r = v + 7; f = a + 13; m = f + 3; b = r + 2; u = t + 16; i = m + 9; h = g + 3. If t = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 13", "m": "p + 7", "v": "m + 11", "o": "v + 19", "l": "o + 8", "x": "l + 13", "d": "b + 3", "z": "d + 20", "g": "z + 6", "i": "g + 2", "h": "i + 11", "k": "h + 8", "b": 4}, "premises": {"b": 4}, "target": "x"}, "answer": {"steps": [["l", "o + 8", "o + 21"], ["o", "v + 19", "v + 40"], ["v", "m + 11", "m + 51"], ["m", "p + 7", "p + 58"], ["p", "b + 13", "b + 71"], ["b", 4, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"b": 4}, "is_reverse": true}} | 12,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = p + 7; p = b + 13; k = h + 8; b = 4; h = i + 11; x = l + 13; l = o + 8; v = m + 11; i = g + 2; o = v + 19; d = b + 3; g = z + 6; z = d + 20. If b = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = o + 8 to x, which gives x = o + 21.\n2. Substitute o = v + 19 to x, which gives x = v + 40.\n3. Substitute v = m + 11 to x, which gives x = m + 51.\n4. Substitute m = p + 7 to x, which gives x = p + 58.\n5. Substitute p = b + 13 to x, which gives x = b + 71.\n6. Substitute b = 4 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 12705,
"question": "Consider a system of variables where each variable is defined as follows: m = p + 7; p = b + 13; k = h + 8; b = 4; h = i + 11; x = l + 13; l = o + 8; v = m + 11; i = g + 2; o = v + 19; d = b + 3; g = z + 6; z = d + 20. If b = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"f": "r + 19", "z": "f + 14", "c": "z + 6", "j": "c + 8", "p": "j + 7", "s": "p + 6", "w": "r + 15", "h": "w + 18", "x": "h + 16", "v": "x + 14", "g": "v + 7", "k": "g + 2", "r": 3}, "premises": {"r": 3}, "target": "s"}, "answer": {"steps": [["p", "j + 7", "j + 13"], ["j", "c + 8", "c + 21"], ["c", "z + 6", "z + 27"], ["z", "f + 14", "f + 41"], ["f", "r + 19", "r + 60"], ["r", 3, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"r": 3}, "is_reverse": true}} | 12,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = r + 15; x = h + 16; h = w + 18; k = g + 2; p = j + 7; j = c + 8; z = f + 14; c = z + 6; s = p + 6; v = x + 14; r = 3; g = v + 7; f = r + 19. Given that r = 3, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 7 to s, which gives s = j + 13.\n2. Substitute j = c + 8 to s, which gives s = c + 21.\n3. Substitute c = z + 6 to s, which gives s = z + 27.\n4. Substitute z = f + 14 to s, which gives s = f + 41.\n5. Substitute f = r + 19 to s, which gives s = r + 60.\n6. Substitute r = 3 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 12706,
"question": "Suppose a collection of variables is related by the following definitions: w = r + 15; x = h + 16; h = w + 18; k = g + 2; p = j + 7; j = c + 8; z = f + 14; c = z + 6; s = p + 6; v = x + 14; r = 3; g = v + 7; f = r + 19. Given that r = 3, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 16", "k": "z + 18", "s": "k + 13", "c": "s + 3", "d": "c + 15", "b": "d + 12", "a": "e + 6", "p": "a + 1", "l": "p + 19", "f": "l + 16", "r": "f + 3", "y": "r + 9", "e": 4}, "premises": {"e": 4}, "target": "b"}, "answer": {"steps": [["d", "c + 15", "c + 27"], ["c", "s + 3", "s + 30"], ["s", "k + 13", "k + 43"], ["k", "z + 18", "z + 61"], ["z", "e + 16", "e + 77"], ["e", 4, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"e": 4}, "is_reverse": true}} | 12,707 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 6; s = k + 13; z = e + 16; p = a + 1; d = c + 15; f = l + 16; y = r + 9; r = f + 3; b = d + 12; k = z + 18; c = s + 3; e = 4; l = p + 19. If e = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 15 to b, which gives b = c + 27.\n2. Substitute c = s + 3 to b, which gives b = s + 30.\n3. Substitute s = k + 13 to b, which gives b = k + 43.\n4. Substitute k = z + 18 to b, which gives b = z + 61.\n5. Substitute z = e + 16 to b, which gives b = e + 77.\n6. Substitute e = 4 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 12707,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 6; s = k + 13; z = e + 16; p = a + 1; d = c + 15; f = l + 16; y = r + 9; r = f + 3; b = d + 12; k = z + 18; c = s + 3; e = 4; l = p + 19. If e = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 1", "x": "u + 12", "q": "x + 8", "w": "q + 16", "s": "w + 16", "f": "s + 10", "h": "i + 16", "c": "h + 12", "p": "c + 19", "j": "p + 2", "z": "j + 11", "m": "z + 2", "i": 16}, "premises": {"i": 16}, "target": "f"}, "answer": {"steps": [["s", "w + 16", "w + 26"], ["w", "q + 16", "q + 42"], ["q", "x + 8", "x + 50"], ["x", "u + 12", "u + 62"], ["u", "i + 1", "i + 63"], ["i", 16, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"i": 16}, "is_reverse": true}} | 12,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 2; w = q + 16; f = s + 10; h = i + 16; u = i + 1; p = c + 19; i = 16; s = w + 16; z = j + 11; q = x + 8; c = h + 12; x = u + 12; m = z + 2. Given that i = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 16 to f, which gives f = w + 26.\n2. Substitute w = q + 16 to f, which gives f = q + 42.\n3. Substitute q = x + 8 to f, which gives f = x + 50.\n4. Substitute x = u + 12 to f, which gives f = u + 62.\n5. Substitute u = i + 1 to f, which gives f = i + 63.\n6. Substitute i = 16 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 12708,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 2; w = q + 16; f = s + 10; h = i + 16; u = i + 1; p = c + 19; i = 16; s = w + 16; z = j + 11; q = x + 8; c = h + 12; x = u + 12; m = z + 2. Given that i = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 15", "m": "t + 12", "q": "m + 20", "h": "q + 10", "z": "h + 20", "v": "z + 9", "j": "k + 8", "a": "j + 5", "l": "a + 18", "w": "l + 18", "i": "w + 20", "s": "i + 6", "k": 5}, "premises": {"k": 5}, "target": "v"}, "answer": {"steps": [["z", "h + 20", "h + 29"], ["h", "q + 10", "q + 39"], ["q", "m + 20", "m + 59"], ["m", "t + 12", "t + 71"], ["t", "k + 15", "k + 86"], ["k", 5, "91"]], "target_var_name": "v", "target_value": 91, "value_dict": {"k": 5}, "is_reverse": true}} | 12,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = a + 18; h = q + 10; m = t + 12; q = m + 20; v = z + 9; j = k + 8; a = j + 5; s = i + 6; k = 5; w = l + 18; z = h + 20; t = k + 15; i = w + 20. Given that k = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 20 to v, which gives v = h + 29.\n2. Substitute h = q + 10 to v, which gives v = q + 39.\n3. Substitute q = m + 20 to v, which gives v = m + 59.\n4. Substitute m = t + 12 to v, which gives v = t + 71.\n5. Substitute t = k + 15 to v, which gives v = k + 86.\n6. Substitute k = 5 to v, which gives v = 91.\n\nThus, the final answer is v = \\boxed{91}.",
"index": 12709,
"question": "Suppose a collection of variables is related by the following definitions: l = a + 18; h = q + 10; m = t + 12; q = m + 20; v = z + 9; j = k + 8; a = j + 5; s = i + 6; k = 5; w = l + 18; z = h + 20; t = k + 15; i = w + 20. Given that k = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 16", "r": "d + 8", "i": "r + 6", "z": "i + 19", "f": "z + 4", "v": "f + 17", "s": "l + 2", "t": "s + 17", "w": "t + 13", "a": "w + 15", "n": "a + 20", "q": "n + 20", "l": 3}, "premises": {"l": 3}, "target": "v"}, "answer": {"steps": [["f", "z + 4", "z + 21"], ["z", "i + 19", "i + 40"], ["i", "r + 6", "r + 46"], ["r", "d + 8", "d + 54"], ["d", "l + 16", "l + 70"], ["l", 3, "73"]], "target_var_name": "v", "target_value": 73, "value_dict": {"l": 3}, "is_reverse": true}} | 12,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = w + 15; n = a + 20; l = 3; r = d + 8; w = t + 13; s = l + 2; z = i + 19; f = z + 4; q = n + 20; v = f + 17; i = r + 6; d = l + 16; t = s + 17. If l = 3, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 4 to v, which gives v = z + 21.\n2. Substitute z = i + 19 to v, which gives v = i + 40.\n3. Substitute i = r + 6 to v, which gives v = r + 46.\n4. Substitute r = d + 8 to v, which gives v = d + 54.\n5. Substitute d = l + 16 to v, which gives v = l + 70.\n6. Substitute l = 3 to v, which gives v = 73.\n\nThus, the final answer is v = \\boxed{73}.",
"index": 12710,
"question": "Consider a system of variables where each variable is defined as follows: a = w + 15; n = a + 20; l = 3; r = d + 8; w = t + 13; s = l + 2; z = i + 19; f = z + 4; q = n + 20; v = f + 17; i = r + 6; d = l + 16; t = s + 17. If l = 3, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 5", "t": "f + 13", "w": "t + 1", "d": "w + 5", "v": "d + 16", "s": "v + 20", "c": "x + 12", "b": "c + 1", "e": "b + 8", "p": "e + 18", "q": "p + 3", "n": "q + 5", "x": 12}, "premises": {"x": 12}, "target": "s"}, "answer": {"steps": [["v", "d + 16", "d + 36"], ["d", "w + 5", "w + 41"], ["w", "t + 1", "t + 42"], ["t", "f + 13", "f + 55"], ["f", "x + 5", "x + 60"], ["x", 12, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"x": 12}, "is_reverse": true}} | 12,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 1; x = 12; t = f + 13; c = x + 12; s = v + 20; e = b + 8; w = t + 1; n = q + 5; p = e + 18; f = x + 5; q = p + 3; v = d + 16; d = w + 5. If x = 12, 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 v = d + 16 to s, which gives s = d + 36.\n2. Substitute d = w + 5 to s, which gives s = w + 41.\n3. Substitute w = t + 1 to s, which gives s = t + 42.\n4. Substitute t = f + 13 to s, which gives s = f + 55.\n5. Substitute f = x + 5 to s, which gives s = x + 60.\n6. Substitute x = 12 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 12711,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 1; x = 12; t = f + 13; c = x + 12; s = v + 20; e = b + 8; w = t + 1; n = q + 5; p = e + 18; f = x + 5; q = p + 3; v = d + 16; d = w + 5. If x = 12, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "u + 19", "x": "n + 19", "j": "x + 11", "g": "j + 1", "v": "g + 12", "l": "v + 4", "y": "u + 10", "w": "y + 3", "z": "w + 7", "h": "z + 17", "s": "h + 16", "a": "s + 15", "u": 10}, "premises": {"u": 10}, "target": "l"}, "answer": {"steps": [["v", "g + 12", "g + 16"], ["g", "j + 1", "j + 17"], ["j", "x + 11", "x + 28"], ["x", "n + 19", "n + 47"], ["n", "u + 19", "u + 66"], ["u", 10, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"u": 10}, "is_reverse": true}} | 12,712 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 10; j = x + 11; w = y + 3; n = u + 19; l = v + 4; a = s + 15; z = w + 7; h = z + 17; g = j + 1; v = g + 12; s = h + 16; x = n + 19; u = 10. Given that u = 10, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 12 to l, which gives l = g + 16.\n2. Substitute g = j + 1 to l, which gives l = j + 17.\n3. Substitute j = x + 11 to l, which gives l = x + 28.\n4. Substitute x = n + 19 to l, which gives l = n + 47.\n5. Substitute n = u + 19 to l, which gives l = u + 66.\n6. Substitute u = 10 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 12712,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 10; j = x + 11; w = y + 3; n = u + 19; l = v + 4; a = s + 15; z = w + 7; h = z + 17; g = j + 1; v = g + 12; s = h + 16; x = n + 19; u = 10. Given that u = 10, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 2", "k": "s + 11", "r": "k + 14", "t": "r + 9", "o": "t + 4", "c": "o + 6", "j": "q + 13", "h": "j + 5", "b": "h + 9", "m": "b + 19", "e": "m + 9", "f": "e + 20", "q": 1}, "premises": {"q": 1}, "target": "c"}, "answer": {"steps": [["o", "t + 4", "t + 10"], ["t", "r + 9", "r + 19"], ["r", "k + 14", "k + 33"], ["k", "s + 11", "s + 44"], ["s", "q + 2", "q + 46"], ["q", 1, "47"]], "target_var_name": "c", "target_value": 47, "value_dict": {"q": 1}, "is_reverse": true}} | 12,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 13; o = t + 4; c = o + 6; r = k + 14; t = r + 9; h = j + 5; e = m + 9; k = s + 11; m = b + 19; f = e + 20; s = q + 2; b = h + 9; q = 1. If q = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 4 to c, which gives c = t + 10.\n2. Substitute t = r + 9 to c, which gives c = r + 19.\n3. Substitute r = k + 14 to c, which gives c = k + 33.\n4. Substitute k = s + 11 to c, which gives c = s + 44.\n5. Substitute s = q + 2 to c, which gives c = q + 46.\n6. Substitute q = 1 to c, which gives c = 47.\n\nThus, the final answer is c = \\boxed{47}.",
"index": 12713,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 13; o = t + 4; c = o + 6; r = k + 14; t = r + 9; h = j + 5; e = m + 9; k = s + 11; m = b + 19; f = e + 20; s = q + 2; b = h + 9; q = 1. If q = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 8", "m": "i + 11", "k": "m + 1", "t": "k + 9", "c": "t + 12", "x": "c + 1", "w": "u + 19", "z": "w + 15", "o": "z + 1", "r": "o + 3", "s": "r + 16", "n": "s + 15", "u": 18}, "premises": {"u": 18}, "target": "x"}, "answer": {"steps": [["c", "t + 12", "t + 13"], ["t", "k + 9", "k + 22"], ["k", "m + 1", "m + 23"], ["m", "i + 11", "i + 34"], ["i", "u + 8", "u + 42"], ["u", 18, "60"]], "target_var_name": "x", "target_value": 60, "value_dict": {"u": 18}, "is_reverse": true}} | 12,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 12; u = 18; x = c + 1; r = o + 3; n = s + 15; i = u + 8; o = z + 1; w = u + 19; k = m + 1; s = r + 16; m = i + 11; t = k + 9; z = w + 15. Given that u = 18, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = t + 12 to x, which gives x = t + 13.\n2. Substitute t = k + 9 to x, which gives x = k + 22.\n3. Substitute k = m + 1 to x, which gives x = m + 23.\n4. Substitute m = i + 11 to x, which gives x = i + 34.\n5. Substitute i = u + 8 to x, which gives x = u + 42.\n6. Substitute u = 18 to x, which gives x = 60.\n\nThus, the final answer is x = \\boxed{60}.",
"index": 12714,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 12; u = 18; x = c + 1; r = o + 3; n = s + 15; i = u + 8; o = z + 1; w = u + 19; k = m + 1; s = r + 16; m = i + 11; t = k + 9; z = w + 15. Given that u = 18, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 17", "t": "r + 12", "g": "t + 6", "j": "g + 9", "a": "j + 9", "c": "a + 13", "x": "i + 12", "u": "x + 6", "o": "u + 10", "h": "o + 19", "w": "h + 15", "p": "w + 15", "i": 10}, "premises": {"i": 10}, "target": "c"}, "answer": {"steps": [["a", "j + 9", "j + 22"], ["j", "g + 9", "g + 31"], ["g", "t + 6", "t + 37"], ["t", "r + 12", "r + 49"], ["r", "i + 17", "i + 66"], ["i", 10, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"i": 10}, "is_reverse": true}} | 12,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = x + 6; g = t + 6; w = h + 15; i = 10; t = r + 12; j = g + 9; p = w + 15; o = u + 10; c = a + 13; x = i + 12; r = i + 17; h = o + 19; a = j + 9. If i = 10, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 9 to c, which gives c = j + 22.\n2. Substitute j = g + 9 to c, which gives c = g + 31.\n3. Substitute g = t + 6 to c, which gives c = t + 37.\n4. Substitute t = r + 12 to c, which gives c = r + 49.\n5. Substitute r = i + 17 to c, which gives c = i + 66.\n6. Substitute i = 10 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 12715,
"question": "Consider a system of variables where each variable is defined as follows: u = x + 6; g = t + 6; w = h + 15; i = 10; t = r + 12; j = g + 9; p = w + 15; o = u + 10; c = a + 13; x = i + 12; r = i + 17; h = o + 19; a = j + 9. If i = 10, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 19", "y": "i + 15", "k": "y + 6", "g": "k + 11", "z": "g + 3", "f": "z + 3", "r": "s + 12", "h": "r + 9", "j": "h + 15", "n": "j + 10", "o": "n + 20", "a": "o + 1", "s": 16}, "premises": {"s": 16}, "target": "f"}, "answer": {"steps": [["z", "g + 3", "g + 6"], ["g", "k + 11", "k + 17"], ["k", "y + 6", "y + 23"], ["y", "i + 15", "i + 38"], ["i", "s + 19", "s + 57"], ["s", 16, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"s": 16}, "is_reverse": true}} | 12,716 | 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 = 16; o = n + 20; j = h + 15; h = r + 9; k = y + 6; r = s + 12; a = o + 1; i = s + 19; f = z + 3; y = i + 15; n = j + 10; g = k + 11; z = g + 3. If s = 16, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = g + 3 to f, which gives f = g + 6.\n2. Substitute g = k + 11 to f, which gives f = k + 17.\n3. Substitute k = y + 6 to f, which gives f = y + 23.\n4. Substitute y = i + 15 to f, which gives f = i + 38.\n5. Substitute i = s + 19 to f, which gives f = s + 57.\n6. Substitute s = 16 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 12716,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = 16; o = n + 20; j = h + 15; h = r + 9; k = y + 6; r = s + 12; a = o + 1; i = s + 19; f = z + 3; y = i + 15; n = j + 10; g = k + 11; z = g + 3. If s = 16, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"p": "b + 16", "k": "p + 17", "s": "k + 7", "h": "s + 5", "j": "h + 1", "t": "j + 4", "f": "b + 8", "a": "f + 5", "g": "a + 10", "o": "g + 12", "z": "o + 15", "w": "z + 19", "b": 12}, "premises": {"b": 12}, "target": "t"}, "answer": {"steps": [["j", "h + 1", "h + 5"], ["h", "s + 5", "s + 10"], ["s", "k + 7", "k + 17"], ["k", "p + 17", "p + 34"], ["p", "b + 16", "b + 50"], ["b", 12, "62"]], "target_var_name": "t", "target_value": 62, "value_dict": {"b": 12}, "is_reverse": true}} | 12,717 | 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 = f + 5; h = s + 5; t = j + 4; z = o + 15; b = 12; g = a + 10; k = p + 17; w = z + 19; f = b + 8; j = h + 1; s = k + 7; p = b + 16; o = g + 12. If b = 12, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 1 to t, which gives t = h + 5.\n2. Substitute h = s + 5 to t, which gives t = s + 10.\n3. Substitute s = k + 7 to t, which gives t = k + 17.\n4. Substitute k = p + 17 to t, which gives t = p + 34.\n5. Substitute p = b + 16 to t, which gives t = b + 50.\n6. Substitute b = 12 to t, which gives t = 62.\n\nThus, the final answer is t = \\boxed{62}.",
"index": 12717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = f + 5; h = s + 5; t = j + 4; z = o + 15; b = 12; g = a + 10; k = p + 17; w = z + 19; f = b + 8; j = h + 1; s = k + 7; p = b + 16; o = g + 12. If b = 12, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 8", "t": "j + 16", "c": "t + 11", "e": "c + 15", "w": "e + 9", "d": "w + 7", "u": "y + 11", "g": "u + 9", "s": "g + 6", "l": "s + 11", "i": "l + 4", "f": "i + 18", "y": 19}, "premises": {"y": 19}, "target": "d"}, "answer": {"steps": [["w", "e + 9", "e + 16"], ["e", "c + 15", "c + 31"], ["c", "t + 11", "t + 42"], ["t", "j + 16", "j + 58"], ["j", "y + 8", "y + 66"], ["y", 19, "85"]], "target_var_name": "d", "target_value": 85, "value_dict": {"y": 19}, "is_reverse": true}} | 12,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = y + 11; l = s + 11; d = w + 7; i = l + 4; g = u + 9; j = y + 8; t = j + 16; f = i + 18; y = 19; e = c + 15; w = e + 9; s = g + 6; c = t + 11. If y = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = e + 9 to d, which gives d = e + 16.\n2. Substitute e = c + 15 to d, which gives d = c + 31.\n3. Substitute c = t + 11 to d, which gives d = t + 42.\n4. Substitute t = j + 16 to d, which gives d = j + 58.\n5. Substitute j = y + 8 to d, which gives d = y + 66.\n6. Substitute y = 19 to d, which gives d = 85.\n\nThus, the final answer is d = \\boxed{85}.",
"index": 12718,
"question": "Consider a system of variables where each variable is defined as follows: u = y + 11; l = s + 11; d = w + 7; i = l + 4; g = u + 9; j = y + 8; t = j + 16; f = i + 18; y = 19; e = c + 15; w = e + 9; s = g + 6; c = t + 11. If y = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 11", "q": "g + 19", "a": "q + 3", "t": "a + 4", "l": "t + 8", "s": "l + 17", "n": "h + 6", "f": "n + 6", "w": "f + 14", "z": "w + 11", "j": "z + 14", "p": "j + 14", "h": 6}, "premises": {"h": 6}, "target": "s"}, "answer": {"steps": [["l", "t + 8", "t + 25"], ["t", "a + 4", "a + 29"], ["a", "q + 3", "q + 32"], ["q", "g + 19", "g + 51"], ["g", "h + 11", "h + 62"], ["h", 6, "68"]], "target_var_name": "s", "target_value": 68, "value_dict": {"h": 6}, "is_reverse": true}} | 12,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = l + 17; g = h + 11; p = j + 14; q = g + 19; l = t + 8; w = f + 14; j = z + 14; n = h + 6; h = 6; z = w + 11; f = n + 6; a = q + 3; t = a + 4. Given that h = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 8 to s, which gives s = t + 25.\n2. Substitute t = a + 4 to s, which gives s = a + 29.\n3. Substitute a = q + 3 to s, which gives s = q + 32.\n4. Substitute q = g + 19 to s, which gives s = g + 51.\n5. Substitute g = h + 11 to s, which gives s = h + 62.\n6. Substitute h = 6 to s, which gives s = 68.\n\nThus, the final answer is s = \\boxed{68}.",
"index": 12719,
"question": "Suppose a collection of variables is related by the following definitions: s = l + 17; g = h + 11; p = j + 14; q = g + 19; l = t + 8; w = f + 14; j = z + 14; n = h + 6; h = 6; z = w + 11; f = n + 6; a = q + 3; t = a + 4. Given that h = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 2", "y": "b + 15", "v": "y + 10", "p": "v + 9", "z": "p + 11", "m": "z + 5", "c": "t + 10", "q": "c + 11", "a": "q + 10", "f": "a + 3", "h": "f + 18", "n": "h + 2", "t": 17}, "premises": {"t": 17}, "target": "m"}, "answer": {"steps": [["z", "p + 11", "p + 16"], ["p", "v + 9", "v + 25"], ["v", "y + 10", "y + 35"], ["y", "b + 15", "b + 50"], ["b", "t + 2", "t + 52"], ["t", 17, "69"]], "target_var_name": "m", "target_value": 69, "value_dict": {"t": 17}, "is_reverse": true}} | 12,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = y + 10; n = h + 2; b = t + 2; z = p + 11; f = a + 3; a = q + 10; y = b + 15; t = 17; h = f + 18; q = c + 11; p = v + 9; c = t + 10; m = z + 5. Given that t = 17, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = p + 11 to m, which gives m = p + 16.\n2. Substitute p = v + 9 to m, which gives m = v + 25.\n3. Substitute v = y + 10 to m, which gives m = y + 35.\n4. Substitute y = b + 15 to m, which gives m = b + 50.\n5. Substitute b = t + 2 to m, which gives m = t + 52.\n6. Substitute t = 17 to m, which gives m = 69.\n\nThus, the final answer is m = \\boxed{69}.",
"index": 12720,
"question": "Suppose a collection of variables is related by the following definitions: v = y + 10; n = h + 2; b = t + 2; z = p + 11; f = a + 3; a = q + 10; y = b + 15; t = 17; h = f + 18; q = c + 11; p = v + 9; c = t + 10; m = z + 5. Given that t = 17, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 17", "r": "a + 15", "h": "r + 5", "e": "h + 15", "d": "e + 8", "t": "d + 11", "x": "z + 7", "y": "x + 12", "f": "y + 3", "o": "f + 5", "w": "o + 13", "u": "w + 2", "z": 12}, "premises": {"z": 12}, "target": "t"}, "answer": {"steps": [["d", "e + 8", "e + 19"], ["e", "h + 15", "h + 34"], ["h", "r + 5", "r + 39"], ["r", "a + 15", "a + 54"], ["a", "z + 17", "z + 71"], ["z", 12, "83"]], "target_var_name": "t", "target_value": 83, "value_dict": {"z": 12}, "is_reverse": true}} | 12,721 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = e + 8; y = x + 12; x = z + 7; z = 12; o = f + 5; f = y + 3; u = w + 2; a = z + 17; w = o + 13; h = r + 5; e = h + 15; t = d + 11; r = a + 15. Given that z = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = e + 8 to t, which gives t = e + 19.\n2. Substitute e = h + 15 to t, which gives t = h + 34.\n3. Substitute h = r + 5 to t, which gives t = r + 39.\n4. Substitute r = a + 15 to t, which gives t = a + 54.\n5. Substitute a = z + 17 to t, which gives t = z + 71.\n6. Substitute z = 12 to t, which gives t = 83.\n\nThus, the final answer is t = \\boxed{83}.",
"index": 12721,
"question": "Suppose a collection of variables is related by the following definitions: d = e + 8; y = x + 12; x = z + 7; z = 12; o = f + 5; f = y + 3; u = w + 2; a = z + 17; w = o + 13; h = r + 5; e = h + 15; t = d + 11; r = a + 15. Given that z = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "y + 8", "b": "m + 14", "c": "b + 2", "e": "c + 11", "x": "e + 16", "z": "x + 16", "t": "y + 13", "g": "t + 8", "i": "g + 19", "p": "i + 2", "f": "p + 15", "v": "f + 15", "y": 19}, "premises": {"y": 19}, "target": "z"}, "answer": {"steps": [["x", "e + 16", "e + 32"], ["e", "c + 11", "c + 43"], ["c", "b + 2", "b + 45"], ["b", "m + 14", "m + 59"], ["m", "y + 8", "y + 67"], ["y", 19, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"y": 19}, "is_reverse": true}} | 12,722 | 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 = i + 2; c = b + 2; m = y + 8; z = x + 16; g = t + 8; y = 19; b = m + 14; x = e + 16; f = p + 15; e = c + 11; v = f + 15; i = g + 19; t = y + 13. If y = 19, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = e + 16 to z, which gives z = e + 32.\n2. Substitute e = c + 11 to z, which gives z = c + 43.\n3. Substitute c = b + 2 to z, which gives z = b + 45.\n4. Substitute b = m + 14 to z, which gives z = m + 59.\n5. Substitute m = y + 8 to z, which gives z = y + 67.\n6. Substitute y = 19 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 12722,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = i + 2; c = b + 2; m = y + 8; z = x + 16; g = t + 8; y = 19; b = m + 14; x = e + 16; f = p + 15; e = c + 11; v = f + 15; i = g + 19; t = y + 13. If y = 19, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"m": "g + 12", "i": "m + 18", "j": "i + 9", "o": "j + 1", "y": "o + 17", "a": "y + 9", "d": "g + 9", "l": "d + 13", "p": "l + 5", "x": "p + 16", "q": "x + 4", "e": "q + 6", "g": 6}, "premises": {"g": 6}, "target": "a"}, "answer": {"steps": [["y", "o + 17", "o + 26"], ["o", "j + 1", "j + 27"], ["j", "i + 9", "i + 36"], ["i", "m + 18", "m + 54"], ["m", "g + 12", "g + 66"], ["g", 6, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"g": 6}, "is_reverse": true}} | 12,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 16; j = i + 9; l = d + 13; p = l + 5; y = o + 17; a = y + 9; m = g + 12; i = m + 18; d = g + 9; o = j + 1; g = 6; q = x + 4; e = q + 6. If g = 6, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 17 to a, which gives a = o + 26.\n2. Substitute o = j + 1 to a, which gives a = j + 27.\n3. Substitute j = i + 9 to a, which gives a = i + 36.\n4. Substitute i = m + 18 to a, which gives a = m + 54.\n5. Substitute m = g + 12 to a, which gives a = g + 66.\n6. Substitute g = 6 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 12723,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 16; j = i + 9; l = d + 13; p = l + 5; y = o + 17; a = y + 9; m = g + 12; i = m + 18; d = g + 9; o = j + 1; g = 6; q = x + 4; e = q + 6. If g = 6, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 20", "l": "e + 11", "f": "l + 19", "h": "f + 20", "g": "h + 18", "t": "g + 17", "s": "n + 18", "x": "s + 8", "y": "x + 13", "o": "y + 20", "z": "o + 3", "c": "z + 17", "n": 18}, "premises": {"n": 18}, "target": "t"}, "answer": {"steps": [["g", "h + 18", "h + 35"], ["h", "f + 20", "f + 55"], ["f", "l + 19", "l + 74"], ["l", "e + 11", "e + 85"], ["e", "n + 20", "n + 105"], ["n", 18, "123"]], "target_var_name": "t", "target_value": 123, "value_dict": {"n": 18}, "is_reverse": true}} | 12,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = o + 3; s = n + 18; g = h + 18; o = y + 20; x = s + 8; f = l + 19; c = z + 17; h = f + 20; n = 18; y = x + 13; e = n + 20; t = g + 17; l = e + 11. Given that n = 18, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 123,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = h + 18 to t, which gives t = h + 35.\n2. Substitute h = f + 20 to t, which gives t = f + 55.\n3. Substitute f = l + 19 to t, which gives t = l + 74.\n4. Substitute l = e + 11 to t, which gives t = e + 85.\n5. Substitute e = n + 20 to t, which gives t = n + 105.\n6. Substitute n = 18 to t, which gives t = 123.\n\nThus, the final answer is t = \\boxed{123}.",
"index": 12724,
"question": "Suppose a collection of variables is related by the following definitions: z = o + 3; s = n + 18; g = h + 18; o = y + 20; x = s + 8; f = l + 19; c = z + 17; h = f + 20; n = 18; y = x + 13; e = n + 20; t = g + 17; l = e + 11. Given that n = 18, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "l + 9", "x": "n + 5", "e": "x + 2", "o": "e + 5", "v": "o + 17", "d": "v + 14", "k": "l + 10", "z": "k + 5", "h": "z + 8", "p": "h + 6", "f": "p + 10", "m": "f + 2", "l": 16}, "premises": {"l": 16}, "target": "d"}, "answer": {"steps": [["v", "o + 17", "o + 31"], ["o", "e + 5", "e + 36"], ["e", "x + 2", "x + 38"], ["x", "n + 5", "n + 43"], ["n", "l + 9", "l + 52"], ["l", 16, "68"]], "target_var_name": "d", "target_value": 68, "value_dict": {"l": 16}, "is_reverse": true}} | 12,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 2; l = 16; k = l + 10; p = h + 6; o = e + 5; d = v + 14; n = l + 9; f = p + 10; x = n + 5; h = z + 8; v = o + 17; e = x + 2; z = k + 5. If l = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 17 to d, which gives d = o + 31.\n2. Substitute o = e + 5 to d, which gives d = e + 36.\n3. Substitute e = x + 2 to d, which gives d = x + 38.\n4. Substitute x = n + 5 to d, which gives d = n + 43.\n5. Substitute n = l + 9 to d, which gives d = l + 52.\n6. Substitute l = 16 to d, which gives d = 68.\n\nThus, the final answer is d = \\boxed{68}.",
"index": 12725,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 2; l = 16; k = l + 10; p = h + 6; o = e + 5; d = v + 14; n = l + 9; f = p + 10; x = n + 5; h = z + 8; v = o + 17; e = x + 2; z = k + 5. If l = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 15", "c": "t + 9", "k": "c + 6", "h": "k + 7", "a": "h + 12", "b": "a + 1", "o": "l + 15", "x": "o + 16", "r": "x + 1", "z": "r + 1", "s": "z + 4", "j": "s + 11", "l": 9}, "premises": {"l": 9}, "target": "b"}, "answer": {"steps": [["a", "h + 12", "h + 13"], ["h", "k + 7", "k + 20"], ["k", "c + 6", "c + 26"], ["c", "t + 9", "t + 35"], ["t", "l + 15", "l + 50"], ["l", 9, "59"]], "target_var_name": "b", "target_value": 59, "value_dict": {"l": 9}, "is_reverse": true}} | 12,726 | 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 + 11; c = t + 9; b = a + 1; l = 9; k = c + 6; a = h + 12; s = z + 4; t = l + 15; h = k + 7; o = l + 15; r = x + 1; x = o + 16; z = r + 1. If l = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = h + 12 to b, which gives b = h + 13.\n2. Substitute h = k + 7 to b, which gives b = k + 20.\n3. Substitute k = c + 6 to b, which gives b = c + 26.\n4. Substitute c = t + 9 to b, which gives b = t + 35.\n5. Substitute t = l + 15 to b, which gives b = l + 50.\n6. Substitute l = 9 to b, which gives b = 59.\n\nThus, the final answer is b = \\boxed{59}.",
"index": 12726,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 11; c = t + 9; b = a + 1; l = 9; k = c + 6; a = h + 12; s = z + 4; t = l + 15; h = k + 7; o = l + 15; r = x + 1; x = o + 16; z = r + 1. If l = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "y + 12", "h": "w + 12", "c": "h + 9", "r": "c + 8", "a": "r + 20", "q": "a + 4", "e": "y + 15", "n": "e + 12", "u": "n + 19", "s": "u + 4", "f": "s + 14", "v": "f + 15", "y": 3}, "premises": {"y": 3}, "target": "q"}, "answer": {"steps": [["a", "r + 20", "r + 24"], ["r", "c + 8", "c + 32"], ["c", "h + 9", "h + 41"], ["h", "w + 12", "w + 53"], ["w", "y + 12", "y + 65"], ["y", 3, "68"]], "target_var_name": "q", "target_value": 68, "value_dict": {"y": 3}, "is_reverse": true}} | 12,727 | 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 = a + 4; v = f + 15; w = y + 12; s = u + 4; a = r + 20; h = w + 12; u = n + 19; y = 3; c = h + 9; n = e + 12; f = s + 14; r = c + 8; e = y + 15. If y = 3, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = r + 20 to q, which gives q = r + 24.\n2. Substitute r = c + 8 to q, which gives q = c + 32.\n3. Substitute c = h + 9 to q, which gives q = h + 41.\n4. Substitute h = w + 12 to q, which gives q = w + 53.\n5. Substitute w = y + 12 to q, which gives q = y + 65.\n6. Substitute y = 3 to q, which gives q = 68.\n\nThus, the final answer is q = \\boxed{68}.",
"index": 12727,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = a + 4; v = f + 15; w = y + 12; s = u + 4; a = r + 20; h = w + 12; u = n + 19; y = 3; c = h + 9; n = e + 12; f = s + 14; r = c + 8; e = y + 15. If y = 3, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"t": "x + 16", "a": "t + 11", "z": "a + 13", "j": "z + 13", "w": "j + 1", "y": "w + 3", "p": "x + 19", "q": "p + 13", "v": "q + 13", "r": "v + 6", "f": "r + 17", "l": "f + 8", "x": 14}, "premises": {"x": 14}, "target": "y"}, "answer": {"steps": [["w", "j + 1", "j + 4"], ["j", "z + 13", "z + 17"], ["z", "a + 13", "a + 30"], ["a", "t + 11", "t + 41"], ["t", "x + 16", "x + 57"], ["x", 14, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"x": 14}, "is_reverse": true}} | 12,728 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = q + 13; r = v + 6; p = x + 19; w = j + 1; t = x + 16; y = w + 3; q = p + 13; a = t + 11; f = r + 17; j = z + 13; x = 14; z = a + 13; l = f + 8. If x = 14, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = j + 1 to y, which gives y = j + 4.\n2. Substitute j = z + 13 to y, which gives y = z + 17.\n3. Substitute z = a + 13 to y, which gives y = a + 30.\n4. Substitute a = t + 11 to y, which gives y = t + 41.\n5. Substitute t = x + 16 to y, which gives y = x + 57.\n6. Substitute x = 14 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 12728,
"question": "Consider a system of variables where each variable is defined as follows: v = q + 13; r = v + 6; p = x + 19; w = j + 1; t = x + 16; y = w + 3; q = p + 13; a = t + 11; f = r + 17; j = z + 13; x = 14; z = a + 13; l = f + 8. If x = 14, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 16", "m": "v + 5", "c": "m + 16", "s": "c + 17", "i": "s + 4", "d": "i + 3", "p": "e + 17", "b": "p + 16", "n": "b + 9", "w": "n + 12", "g": "w + 11", "q": "g + 10", "e": 19}, "premises": {"e": 19}, "target": "d"}, "answer": {"steps": [["i", "s + 4", "s + 7"], ["s", "c + 17", "c + 24"], ["c", "m + 16", "m + 40"], ["m", "v + 5", "v + 45"], ["v", "e + 16", "e + 61"], ["e", 19, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"e": 19}, "is_reverse": true}} | 12,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 16; i = s + 4; d = i + 3; w = n + 12; g = w + 11; s = c + 17; e = 19; v = e + 16; q = g + 10; c = m + 16; p = e + 17; m = v + 5; n = b + 9. If e = 19, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = s + 4 to d, which gives d = s + 7.\n2. Substitute s = c + 17 to d, which gives d = c + 24.\n3. Substitute c = m + 16 to d, which gives d = m + 40.\n4. Substitute m = v + 5 to d, which gives d = v + 45.\n5. Substitute v = e + 16 to d, which gives d = e + 61.\n6. Substitute e = 19 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 12729,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 16; i = s + 4; d = i + 3; w = n + 12; g = w + 11; s = c + 17; e = 19; v = e + 16; q = g + 10; c = m + 16; p = e + 17; m = v + 5; n = b + 9. If e = 19, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 16", "u": "b + 3", "r": "u + 3", "h": "r + 17", "n": "h + 15", "v": "n + 1", "f": "s + 5", "l": "f + 7", "m": "l + 16", "x": "m + 2", "a": "x + 8", "i": "a + 13", "s": 5}, "premises": {"s": 5}, "target": "v"}, "answer": {"steps": [["n", "h + 15", "h + 16"], ["h", "r + 17", "r + 33"], ["r", "u + 3", "u + 36"], ["u", "b + 3", "b + 39"], ["b", "s + 16", "s + 55"], ["s", 5, "60"]], "target_var_name": "v", "target_value": 60, "value_dict": {"s": 5}, "is_reverse": true}} | 12,730 | 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 = x + 8; x = m + 2; u = b + 3; f = s + 5; i = a + 13; b = s + 16; l = f + 7; r = u + 3; m = l + 16; n = h + 15; v = n + 1; s = 5; h = r + 17. If s = 5, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 15 to v, which gives v = h + 16.\n2. Substitute h = r + 17 to v, which gives v = r + 33.\n3. Substitute r = u + 3 to v, which gives v = u + 36.\n4. Substitute u = b + 3 to v, which gives v = b + 39.\n5. Substitute b = s + 16 to v, which gives v = s + 55.\n6. Substitute s = 5 to v, which gives v = 60.\n\nThus, the final answer is v = \\boxed{60}.",
"index": 12730,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = x + 8; x = m + 2; u = b + 3; f = s + 5; i = a + 13; b = s + 16; l = f + 7; r = u + 3; m = l + 16; n = h + 15; v = n + 1; s = 5; h = r + 17. If s = 5, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 12", "m": "w + 7", "x": "m + 7", "s": "x + 9", "o": "s + 5", "h": "o + 18", "y": "e + 2", "g": "y + 10", "p": "g + 5", "l": "p + 12", "r": "l + 12", "b": "r + 19", "e": 18}, "premises": {"e": 18}, "target": "h"}, "answer": {"steps": [["o", "s + 5", "s + 23"], ["s", "x + 9", "x + 32"], ["x", "m + 7", "m + 39"], ["m", "w + 7", "w + 46"], ["w", "e + 12", "e + 58"], ["e", 18, "76"]], "target_var_name": "h", "target_value": 76, "value_dict": {"e": 18}, "is_reverse": true}} | 12,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 18; g = y + 10; s = x + 9; o = s + 5; e = 18; p = g + 5; y = e + 2; r = l + 12; x = m + 7; m = w + 7; b = r + 19; l = p + 12; w = e + 12. If e = 18, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 5 to h, which gives h = s + 23.\n2. Substitute s = x + 9 to h, which gives h = x + 32.\n3. Substitute x = m + 7 to h, which gives h = m + 39.\n4. Substitute m = w + 7 to h, which gives h = w + 46.\n5. Substitute w = e + 12 to h, which gives h = e + 58.\n6. Substitute e = 18 to h, which gives h = 76.\n\nThus, the final answer is h = \\boxed{76}.",
"index": 12731,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 18; g = y + 10; s = x + 9; o = s + 5; e = 18; p = g + 5; y = e + 2; r = l + 12; x = m + 7; m = w + 7; b = r + 19; l = p + 12; w = e + 12. If e = 18, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 2", "v": "g + 15", "f": "v + 2", "d": "f + 7", "a": "d + 12", "b": "a + 8", "l": "x + 2", "o": "l + 19", "p": "o + 10", "q": "p + 20", "c": "q + 12", "j": "c + 8", "x": 17}, "premises": {"x": 17}, "target": "b"}, "answer": {"steps": [["a", "d + 12", "d + 20"], ["d", "f + 7", "f + 27"], ["f", "v + 2", "v + 29"], ["v", "g + 15", "g + 44"], ["g", "x + 2", "x + 46"], ["x", 17, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"x": 17}, "is_reverse": true}} | 12,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = p + 20; f = v + 2; b = a + 8; x = 17; g = x + 2; j = c + 8; d = f + 7; p = o + 10; v = g + 15; a = d + 12; o = l + 19; l = x + 2; c = q + 12. Given that x = 17, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = d + 12 to b, which gives b = d + 20.\n2. Substitute d = f + 7 to b, which gives b = f + 27.\n3. Substitute f = v + 2 to b, which gives b = v + 29.\n4. Substitute v = g + 15 to b, which gives b = g + 44.\n5. Substitute g = x + 2 to b, which gives b = x + 46.\n6. Substitute x = 17 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 12732,
"question": "Suppose a collection of variables is related by the following definitions: q = p + 20; f = v + 2; b = a + 8; x = 17; g = x + 2; j = c + 8; d = f + 7; p = o + 10; v = g + 15; a = d + 12; o = l + 19; l = x + 2; c = q + 12. Given that x = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 7", "m": "w + 11", "i": "m + 17", "a": "i + 4", "n": "a + 7", "k": "n + 12", "p": "z + 2", "e": "p + 19", "b": "e + 5", "s": "b + 12", "j": "s + 12", "f": "j + 14", "z": 6}, "premises": {"z": 6}, "target": "k"}, "answer": {"steps": [["n", "a + 7", "a + 19"], ["a", "i + 4", "i + 23"], ["i", "m + 17", "m + 40"], ["m", "w + 11", "w + 51"], ["w", "z + 7", "z + 58"], ["z", 6, "64"]], "target_var_name": "k", "target_value": 64, "value_dict": {"z": 6}, "is_reverse": true}} | 12,733 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = 6; i = m + 17; j = s + 12; a = i + 4; e = p + 19; w = z + 7; n = a + 7; f = j + 14; k = n + 12; p = z + 2; b = e + 5; m = w + 11; s = b + 12. If z = 6, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = a + 7 to k, which gives k = a + 19.\n2. Substitute a = i + 4 to k, which gives k = i + 23.\n3. Substitute i = m + 17 to k, which gives k = m + 40.\n4. Substitute m = w + 11 to k, which gives k = w + 51.\n5. Substitute w = z + 7 to k, which gives k = z + 58.\n6. Substitute z = 6 to k, which gives k = 64.\n\nThus, the final answer is k = \\boxed{64}.",
"index": 12733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 6; i = m + 17; j = s + 12; a = i + 4; e = p + 19; w = z + 7; n = a + 7; f = j + 14; k = n + 12; p = z + 2; b = e + 5; m = w + 11; s = b + 12. If z = 6, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 20", "t": "k + 7", "o": "t + 9", "h": "o + 11", "x": "h + 1", "j": "x + 13", "n": "z + 5", "l": "n + 17", "q": "l + 12", "r": "q + 8", "a": "r + 7", "u": "a + 5", "z": 6}, "premises": {"z": 6}, "target": "j"}, "answer": {"steps": [["x", "h + 1", "h + 14"], ["h", "o + 11", "o + 25"], ["o", "t + 9", "t + 34"], ["t", "k + 7", "k + 41"], ["k", "z + 20", "z + 61"], ["z", 6, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"z": 6}, "is_reverse": true}} | 12,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = n + 17; t = k + 7; n = z + 5; j = x + 13; h = o + 11; a = r + 7; x = h + 1; q = l + 12; u = a + 5; o = t + 9; r = q + 8; z = 6; k = z + 20. Given that z = 6, 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 x = h + 1 to j, which gives j = h + 14.\n2. Substitute h = o + 11 to j, which gives j = o + 25.\n3. Substitute o = t + 9 to j, which gives j = t + 34.\n4. Substitute t = k + 7 to j, which gives j = k + 41.\n5. Substitute k = z + 20 to j, which gives j = z + 61.\n6. Substitute z = 6 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 12734,
"question": "Suppose a collection of variables is related by the following definitions: l = n + 17; t = k + 7; n = z + 5; j = x + 13; h = o + 11; a = r + 7; x = h + 1; q = l + 12; u = a + 5; o = t + 9; r = q + 8; z = 6; k = z + 20. Given that z = 6, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"e": "c + 17", "g": "e + 17", "b": "g + 13", "d": "b + 15", "s": "d + 5", "f": "s + 7", "k": "c + 14", "t": "k + 16", "a": "t + 3", "u": "a + 20", "w": "u + 20", "q": "w + 17", "c": 9}, "premises": {"c": 9}, "target": "f"}, "answer": {"steps": [["s", "d + 5", "d + 12"], ["d", "b + 15", "b + 27"], ["b", "g + 13", "g + 40"], ["g", "e + 17", "e + 57"], ["e", "c + 17", "c + 74"], ["c", 9, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"c": 9}, "is_reverse": true}} | 12,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 13; c = 9; u = a + 20; a = t + 3; s = d + 5; d = b + 15; t = k + 16; q = w + 17; k = c + 14; f = s + 7; g = e + 17; w = u + 20; e = c + 17. If c = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = d + 5 to f, which gives f = d + 12.\n2. Substitute d = b + 15 to f, which gives f = b + 27.\n3. Substitute b = g + 13 to f, which gives f = g + 40.\n4. Substitute g = e + 17 to f, which gives f = e + 57.\n5. Substitute e = c + 17 to f, which gives f = c + 74.\n6. Substitute c = 9 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 12735,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 13; c = 9; u = a + 20; a = t + 3; s = d + 5; d = b + 15; t = k + 16; q = w + 17; k = c + 14; f = s + 7; g = e + 17; w = u + 20; e = c + 17. If c = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"y": "c + 15", "w": "y + 3", "a": "w + 2", "i": "a + 4", "m": "i + 17", "e": "m + 4", "q": "c + 5", "z": "q + 9", "t": "z + 6", "n": "t + 16", "h": "n + 5", "l": "h + 2", "c": 11}, "premises": {"c": 11}, "target": "e"}, "answer": {"steps": [["m", "i + 17", "i + 21"], ["i", "a + 4", "a + 25"], ["a", "w + 2", "w + 27"], ["w", "y + 3", "y + 30"], ["y", "c + 15", "c + 45"], ["c", 11, "56"]], "target_var_name": "e", "target_value": 56, "value_dict": {"c": 11}, "is_reverse": true}} | 12,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = c + 5; y = c + 15; i = a + 4; t = z + 6; m = i + 17; h = n + 5; w = y + 3; z = q + 9; l = h + 2; e = m + 4; n = t + 16; c = 11; a = w + 2. If c = 11, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 17 to e, which gives e = i + 21.\n2. Substitute i = a + 4 to e, which gives e = a + 25.\n3. Substitute a = w + 2 to e, which gives e = w + 27.\n4. Substitute w = y + 3 to e, which gives e = y + 30.\n5. Substitute y = c + 15 to e, which gives e = c + 45.\n6. Substitute c = 11 to e, which gives e = 56.\n\nThus, the final answer is e = \\boxed{56}.",
"index": 12736,
"question": "Consider a system of variables where each variable is defined as follows: q = c + 5; y = c + 15; i = a + 4; t = z + 6; m = i + 17; h = n + 5; w = y + 3; z = q + 9; l = h + 2; e = m + 4; n = t + 16; c = 11; a = w + 2. If c = 11, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"d": "g + 5", "y": "d + 19", "f": "y + 4", "v": "f + 9", "j": "v + 7", "x": "j + 2", "m": "g + 18", "o": "m + 6", "h": "o + 7", "c": "h + 12", "l": "c + 13", "p": "l + 19", "g": 4}, "premises": {"g": 4}, "target": "x"}, "answer": {"steps": [["j", "v + 7", "v + 9"], ["v", "f + 9", "f + 18"], ["f", "y + 4", "y + 22"], ["y", "d + 19", "d + 41"], ["d", "g + 5", "g + 46"], ["g", 4, "50"]], "target_var_name": "x", "target_value": 50, "value_dict": {"g": 4}, "is_reverse": true}} | 12,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 5; f = y + 4; x = j + 2; p = l + 19; c = h + 12; y = d + 19; h = o + 7; m = g + 18; l = c + 13; o = m + 6; v = f + 9; g = 4; j = v + 7. If g = 4, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 7 to x, which gives x = v + 9.\n2. Substitute v = f + 9 to x, which gives x = f + 18.\n3. Substitute f = y + 4 to x, which gives x = y + 22.\n4. Substitute y = d + 19 to x, which gives x = d + 41.\n5. Substitute d = g + 5 to x, which gives x = g + 46.\n6. Substitute g = 4 to x, which gives x = 50.\n\nThus, the final answer is x = \\boxed{50}.",
"index": 12737,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = g + 5; f = y + 4; x = j + 2; p = l + 19; c = h + 12; y = d + 19; h = o + 7; m = g + 18; l = c + 13; o = m + 6; v = f + 9; g = 4; j = v + 7. If g = 4, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 1", "h": "c + 4", "d": "h + 15", "q": "d + 19", "l": "q + 17", "o": "l + 12", "e": "v + 4", "t": "e + 11", "n": "t + 18", "w": "n + 7", "a": "w + 2", "b": "a + 19", "v": 14}, "premises": {"v": 14}, "target": "o"}, "answer": {"steps": [["l", "q + 17", "q + 29"], ["q", "d + 19", "d + 48"], ["d", "h + 15", "h + 63"], ["h", "c + 4", "c + 67"], ["c", "v + 1", "v + 68"], ["v", 14, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"v": 14}, "is_reverse": true}} | 12,738 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = c + 4; w = n + 7; t = e + 11; b = a + 19; d = h + 15; e = v + 4; c = v + 1; o = l + 12; l = q + 17; q = d + 19; a = w + 2; v = 14; n = t + 18. If v = 14, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 17 to o, which gives o = q + 29.\n2. Substitute q = d + 19 to o, which gives o = d + 48.\n3. Substitute d = h + 15 to o, which gives o = h + 63.\n4. Substitute h = c + 4 to o, which gives o = c + 67.\n5. Substitute c = v + 1 to o, which gives o = v + 68.\n6. Substitute v = 14 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 12738,
"question": "Consider a system of variables where each variable is defined as follows: h = c + 4; w = n + 7; t = e + 11; b = a + 19; d = h + 15; e = v + 4; c = v + 1; o = l + 12; l = q + 17; q = d + 19; a = w + 2; v = 14; n = t + 18. If v = 14, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 10", "z": "i + 19", "f": "z + 3", "a": "f + 17", "k": "a + 13", "g": "k + 20", "t": "b + 11", "n": "t + 13", "y": "n + 8", "r": "y + 13", "e": "r + 9", "d": "e + 16", "b": 12}, "premises": {"b": 12}, "target": "g"}, "answer": {"steps": [["k", "a + 13", "a + 33"], ["a", "f + 17", "f + 50"], ["f", "z + 3", "z + 53"], ["z", "i + 19", "i + 72"], ["i", "b + 10", "b + 82"], ["b", 12, "94"]], "target_var_name": "g", "target_value": 94, "value_dict": {"b": 12}, "is_reverse": true}} | 12,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 13; e = r + 9; a = f + 17; b = 12; t = b + 11; d = e + 16; f = z + 3; k = a + 13; g = k + 20; y = n + 8; z = i + 19; n = t + 13; i = b + 10. If b = 12, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 13 to g, which gives g = a + 33.\n2. Substitute a = f + 17 to g, which gives g = f + 50.\n3. Substitute f = z + 3 to g, which gives g = z + 53.\n4. Substitute z = i + 19 to g, which gives g = i + 72.\n5. Substitute i = b + 10 to g, which gives g = b + 82.\n6. Substitute b = 12 to g, which gives g = 94.\n\nThus, the final answer is g = \\boxed{94}.",
"index": 12739,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = y + 13; e = r + 9; a = f + 17; b = 12; t = b + 11; d = e + 16; f = z + 3; k = a + 13; g = k + 20; y = n + 8; z = i + 19; n = t + 13; i = b + 10. If b = 12, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"z": "c + 19", "p": "z + 9", "f": "p + 9", "b": "f + 15", "a": "b + 16", "v": "a + 2", "d": "c + 10", "l": "d + 18", "r": "l + 13", "s": "r + 16", "i": "s + 6", "m": "i + 14", "c": 19}, "premises": {"c": 19}, "target": "v"}, "answer": {"steps": [["a", "b + 16", "b + 18"], ["b", "f + 15", "f + 33"], ["f", "p + 9", "p + 42"], ["p", "z + 9", "z + 51"], ["z", "c + 19", "c + 70"], ["c", 19, "89"]], "target_var_name": "v", "target_value": 89, "value_dict": {"c": 19}, "is_reverse": true}} | 12,740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 10; i = s + 6; v = a + 2; z = c + 19; r = l + 13; p = z + 9; a = b + 16; s = r + 16; b = f + 15; l = d + 18; m = i + 14; c = 19; f = p + 9. If c = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = b + 16 to v, which gives v = b + 18.\n2. Substitute b = f + 15 to v, which gives v = f + 33.\n3. Substitute f = p + 9 to v, which gives v = p + 42.\n4. Substitute p = z + 9 to v, which gives v = z + 51.\n5. Substitute z = c + 19 to v, which gives v = c + 70.\n6. Substitute c = 19 to v, which gives v = 89.\n\nThus, the final answer is v = \\boxed{89}.",
"index": 12740,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 10; i = s + 6; v = a + 2; z = c + 19; r = l + 13; p = z + 9; a = b + 16; s = r + 16; b = f + 15; l = d + 18; m = i + 14; c = 19; f = p + 9. If c = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"l": "v + 9", "z": "l + 17", "c": "z + 14", "x": "c + 14", "j": "x + 3", "q": "j + 17", "g": "v + 12", "u": "g + 15", "w": "u + 2", "o": "w + 8", "e": "o + 11", "d": "e + 10", "v": 8}, "premises": {"v": 8}, "target": "q"}, "answer": {"steps": [["j", "x + 3", "x + 20"], ["x", "c + 14", "c + 34"], ["c", "z + 14", "z + 48"], ["z", "l + 17", "l + 65"], ["l", "v + 9", "v + 74"], ["v", 8, "82"]], "target_var_name": "q", "target_value": 82, "value_dict": {"v": 8}, "is_reverse": true}} | 12,741 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 14; v = 8; w = u + 2; d = e + 10; g = v + 12; o = w + 8; l = v + 9; e = o + 11; j = x + 3; z = l + 17; q = j + 17; u = g + 15; x = c + 14. If v = 8, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 3 to q, which gives q = x + 20.\n2. Substitute x = c + 14 to q, which gives q = c + 34.\n3. Substitute c = z + 14 to q, which gives q = z + 48.\n4. Substitute z = l + 17 to q, which gives q = l + 65.\n5. Substitute l = v + 9 to q, which gives q = v + 74.\n6. Substitute v = 8 to q, which gives q = 82.\n\nThus, the final answer is q = \\boxed{82}.",
"index": 12741,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 14; v = 8; w = u + 2; d = e + 10; g = v + 12; o = w + 8; l = v + 9; e = o + 11; j = x + 3; z = l + 17; q = j + 17; u = g + 15; x = c + 14. If v = 8, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 5", "l": "u + 20", "r": "l + 10", "o": "r + 2", "n": "o + 5", "e": "n + 11", "k": "m + 1", "x": "k + 11", "a": "x + 12", "c": "a + 20", "q": "c + 17", "t": "q + 16", "m": 4}, "premises": {"m": 4}, "target": "e"}, "answer": {"steps": [["n", "o + 5", "o + 16"], ["o", "r + 2", "r + 18"], ["r", "l + 10", "l + 28"], ["l", "u + 20", "u + 48"], ["u", "m + 5", "m + 53"], ["m", 4, "57"]], "target_var_name": "e", "target_value": 57, "value_dict": {"m": 4}, "is_reverse": true}} | 12,742 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 10; e = n + 11; a = x + 12; k = m + 1; u = m + 5; o = r + 2; c = a + 20; q = c + 17; m = 4; n = o + 5; x = k + 11; l = u + 20; t = q + 16. If m = 4, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 5 to e, which gives e = o + 16.\n2. Substitute o = r + 2 to e, which gives e = r + 18.\n3. Substitute r = l + 10 to e, which gives e = l + 28.\n4. Substitute l = u + 20 to e, which gives e = u + 48.\n5. Substitute u = m + 5 to e, which gives e = m + 53.\n6. Substitute m = 4 to e, which gives e = 57.\n\nThus, the final answer is e = \\boxed{57}.",
"index": 12742,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 10; e = n + 11; a = x + 12; k = m + 1; u = m + 5; o = r + 2; c = a + 20; q = c + 17; m = 4; n = o + 5; x = k + 11; l = u + 20; t = q + 16. If m = 4, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 13", "f": "l + 15", "j": "f + 20", "r": "j + 5", "c": "r + 6", "v": "c + 4", "n": "x + 19", "t": "n + 6", "p": "t + 3", "k": "p + 12", "b": "k + 15", "i": "b + 7", "x": 1}, "premises": {"x": 1}, "target": "v"}, "answer": {"steps": [["c", "r + 6", "r + 10"], ["r", "j + 5", "j + 15"], ["j", "f + 20", "f + 35"], ["f", "l + 15", "l + 50"], ["l", "x + 13", "x + 63"], ["x", 1, "64"]], "target_var_name": "v", "target_value": 64, "value_dict": {"x": 1}, "is_reverse": true}} | 12,743 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = k + 15; p = t + 3; n = x + 19; i = b + 7; k = p + 12; c = r + 6; v = c + 4; j = f + 20; x = 1; l = x + 13; r = j + 5; t = n + 6; f = l + 15. If x = 1, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 6 to v, which gives v = r + 10.\n2. Substitute r = j + 5 to v, which gives v = j + 15.\n3. Substitute j = f + 20 to v, which gives v = f + 35.\n4. Substitute f = l + 15 to v, which gives v = l + 50.\n5. Substitute l = x + 13 to v, which gives v = x + 63.\n6. Substitute x = 1 to v, which gives v = 64.\n\nThus, the final answer is v = \\boxed{64}.",
"index": 12743,
"question": "Consider a system of variables where each variable is defined as follows: b = k + 15; p = t + 3; n = x + 19; i = b + 7; k = p + 12; c = r + 6; v = c + 4; j = f + 20; x = 1; l = x + 13; r = j + 5; t = n + 6; f = l + 15. If x = 1, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 8", "w": "v + 1", "z": "w + 8", "p": "z + 6", "l": "p + 14", "k": "l + 15", "n": "f + 6", "m": "n + 5", "a": "m + 11", "j": "a + 14", "u": "j + 4", "s": "u + 4", "f": 1}, "premises": {"f": 1}, "target": "k"}, "answer": {"steps": [["l", "p + 14", "p + 29"], ["p", "z + 6", "z + 35"], ["z", "w + 8", "w + 43"], ["w", "v + 1", "v + 44"], ["v", "f + 8", "f + 52"], ["f", 1, "53"]], "target_var_name": "k", "target_value": 53, "value_dict": {"f": 1}, "is_reverse": true}} | 12,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 1; m = n + 5; l = p + 14; v = f + 8; s = u + 4; u = j + 4; n = f + 6; a = m + 11; p = z + 6; z = w + 8; w = v + 1; k = l + 15; j = a + 14. Given that f = 1, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 14 to k, which gives k = p + 29.\n2. Substitute p = z + 6 to k, which gives k = z + 35.\n3. Substitute z = w + 8 to k, which gives k = w + 43.\n4. Substitute w = v + 1 to k, which gives k = v + 44.\n5. Substitute v = f + 8 to k, which gives k = f + 52.\n6. Substitute f = 1 to k, which gives k = 53.\n\nThus, the final answer is k = \\boxed{53}.",
"index": 12744,
"question": "Suppose a collection of variables is related by the following definitions: f = 1; m = n + 5; l = p + 14; v = f + 8; s = u + 4; u = j + 4; n = f + 6; a = m + 11; p = z + 6; z = w + 8; w = v + 1; k = l + 15; j = a + 14. Given that f = 1, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "g + 14", "b": "u + 7", "x": "b + 16", "k": "x + 17", "t": "k + 20", "q": "t + 6", "d": "g + 13", "s": "d + 10", "p": "s + 1", "w": "p + 9", "n": "w + 12", "i": "n + 19", "g": 7}, "premises": {"g": 7}, "target": "q"}, "answer": {"steps": [["t", "k + 20", "k + 26"], ["k", "x + 17", "x + 43"], ["x", "b + 16", "b + 59"], ["b", "u + 7", "u + 66"], ["u", "g + 14", "g + 80"], ["g", 7, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"g": 7}, "is_reverse": true}} | 12,745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = u + 7; d = g + 13; x = b + 16; p = s + 1; u = g + 14; t = k + 20; w = p + 9; g = 7; n = w + 12; q = t + 6; k = x + 17; s = d + 10; i = n + 19. Given that g = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 20 to q, which gives q = k + 26.\n2. Substitute k = x + 17 to q, which gives q = x + 43.\n3. Substitute x = b + 16 to q, which gives q = b + 59.\n4. Substitute b = u + 7 to q, which gives q = u + 66.\n5. Substitute u = g + 14 to q, which gives q = g + 80.\n6. Substitute g = 7 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 12745,
"question": "Suppose a collection of variables is related by the following definitions: b = u + 7; d = g + 13; x = b + 16; p = s + 1; u = g + 14; t = k + 20; w = p + 9; g = 7; n = w + 12; q = t + 6; k = x + 17; s = d + 10; i = n + 19. Given that g = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 1", "e": "y + 8", "v": "e + 20", "u": "v + 16", "q": "u + 6", "a": "q + 4", "h": "n + 1", "k": "h + 19", "c": "k + 14", "t": "c + 5", "z": "t + 16", "p": "z + 5", "n": 12}, "premises": {"n": 12}, "target": "a"}, "answer": {"steps": [["q", "u + 6", "u + 10"], ["u", "v + 16", "v + 26"], ["v", "e + 20", "e + 46"], ["e", "y + 8", "y + 54"], ["y", "n + 1", "n + 55"], ["n", 12, "67"]], "target_var_name": "a", "target_value": 67, "value_dict": {"n": 12}, "is_reverse": true}} | 12,746 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 14; n = 12; v = e + 20; y = n + 1; a = q + 4; z = t + 16; h = n + 1; k = h + 19; q = u + 6; u = v + 16; t = c + 5; e = y + 8; p = z + 5. If n = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = u + 6 to a, which gives a = u + 10.\n2. Substitute u = v + 16 to a, which gives a = v + 26.\n3. Substitute v = e + 20 to a, which gives a = e + 46.\n4. Substitute e = y + 8 to a, which gives a = y + 54.\n5. Substitute y = n + 1 to a, which gives a = n + 55.\n6. Substitute n = 12 to a, which gives a = 67.\n\nThus, the final answer is a = \\boxed{67}.",
"index": 12746,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = k + 14; n = 12; v = e + 20; y = n + 1; a = q + 4; z = t + 16; h = n + 1; k = h + 19; q = u + 6; u = v + 16; t = c + 5; e = y + 8; p = z + 5. If n = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"e": "k + 7", "d": "e + 7", "j": "d + 18", "b": "j + 7", "l": "b + 12", "c": "l + 17", "f": "k + 13", "p": "f + 8", "y": "p + 18", "r": "y + 5", "n": "r + 19", "s": "n + 11", "k": 1}, "premises": {"k": 1}, "target": "c"}, "answer": {"steps": [["l", "b + 12", "b + 29"], ["b", "j + 7", "j + 36"], ["j", "d + 18", "d + 54"], ["d", "e + 7", "e + 61"], ["e", "k + 7", "k + 68"], ["k", 1, "69"]], "target_var_name": "c", "target_value": 69, "value_dict": {"k": 1}, "is_reverse": true}} | 12,747 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 8; j = d + 18; y = p + 18; e = k + 7; f = k + 13; b = j + 7; d = e + 7; c = l + 17; s = n + 11; r = y + 5; n = r + 19; l = b + 12; k = 1. If k = 1, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 12 to c, which gives c = b + 29.\n2. Substitute b = j + 7 to c, which gives c = j + 36.\n3. Substitute j = d + 18 to c, which gives c = d + 54.\n4. Substitute d = e + 7 to c, which gives c = e + 61.\n5. Substitute e = k + 7 to c, which gives c = k + 68.\n6. Substitute k = 1 to c, which gives c = 69.\n\nThus, the final answer is c = \\boxed{69}.",
"index": 12747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = f + 8; j = d + 18; y = p + 18; e = k + 7; f = k + 13; b = j + 7; d = e + 7; c = l + 17; s = n + 11; r = y + 5; n = r + 19; l = b + 12; k = 1. If k = 1, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "l + 5", "j": "q + 8", "e": "j + 11", "k": "e + 19", "r": "k + 2", "m": "r + 3", "u": "l + 12", "b": "u + 18", "t": "b + 20", "y": "t + 13", "i": "y + 12", "d": "i + 2", "l": 3}, "premises": {"l": 3}, "target": "m"}, "answer": {"steps": [["r", "k + 2", "k + 5"], ["k", "e + 19", "e + 24"], ["e", "j + 11", "j + 35"], ["j", "q + 8", "q + 43"], ["q", "l + 5", "l + 48"], ["l", 3, "51"]], "target_var_name": "m", "target_value": 51, "value_dict": {"l": 3}, "is_reverse": true}} | 12,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = t + 13; k = e + 19; l = 3; i = y + 12; j = q + 8; m = r + 3; r = k + 2; q = l + 5; u = l + 12; e = j + 11; t = b + 20; d = i + 2; b = u + 18. If l = 3, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = k + 2 to m, which gives m = k + 5.\n2. Substitute k = e + 19 to m, which gives m = e + 24.\n3. Substitute e = j + 11 to m, which gives m = j + 35.\n4. Substitute j = q + 8 to m, which gives m = q + 43.\n5. Substitute q = l + 5 to m, which gives m = l + 48.\n6. Substitute l = 3 to m, which gives m = 51.\n\nThus, the final answer is m = \\boxed{51}.",
"index": 12748,
"question": "Consider a system of variables where each variable is defined as follows: y = t + 13; k = e + 19; l = 3; i = y + 12; j = q + 8; m = r + 3; r = k + 2; q = l + 5; u = l + 12; e = j + 11; t = b + 20; d = i + 2; b = u + 18. If l = 3, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 3", "u": "m + 2", "y": "u + 7", "g": "y + 13", "r": "g + 16", "x": "r + 3", "q": "e + 8", "w": "q + 18", "o": "w + 18", "t": "o + 19", "z": "t + 1", "c": "z + 4", "e": 8}, "premises": {"e": 8}, "target": "x"}, "answer": {"steps": [["r", "g + 16", "g + 19"], ["g", "y + 13", "y + 32"], ["y", "u + 7", "u + 39"], ["u", "m + 2", "m + 41"], ["m", "e + 3", "e + 44"], ["e", 8, "52"]], "target_var_name": "x", "target_value": 52, "value_dict": {"e": 8}, "is_reverse": true}} | 12,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = m + 2; y = u + 7; o = w + 18; m = e + 3; z = t + 1; x = r + 3; e = 8; g = y + 13; c = z + 4; w = q + 18; t = o + 19; q = e + 8; r = g + 16. If e = 8, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 16 to x, which gives x = g + 19.\n2. Substitute g = y + 13 to x, which gives x = y + 32.\n3. Substitute y = u + 7 to x, which gives x = u + 39.\n4. Substitute u = m + 2 to x, which gives x = m + 41.\n5. Substitute m = e + 3 to x, which gives x = e + 44.\n6. Substitute e = 8 to x, which gives x = 52.\n\nThus, the final answer is x = \\boxed{52}.",
"index": 12749,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 2; y = u + 7; o = w + 18; m = e + 3; z = t + 1; x = r + 3; e = 8; g = y + 13; c = z + 4; w = q + 18; t = o + 19; q = e + 8; r = g + 16. If e = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 6", "e": "d + 3", "t": "e + 19", "l": "t + 9", "b": "l + 19", "o": "b + 20", "z": "c + 1", "p": "z + 18", "u": "p + 1", "y": "u + 5", "h": "y + 8", "s": "h + 11", "c": 9}, "premises": {"c": 9}, "target": "o"}, "answer": {"steps": [["b", "l + 19", "l + 39"], ["l", "t + 9", "t + 48"], ["t", "e + 19", "e + 67"], ["e", "d + 3", "d + 70"], ["d", "c + 6", "c + 76"], ["c", 9, "85"]], "target_var_name": "o", "target_value": 85, "value_dict": {"c": 9}, "is_reverse": true}} | 12,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 8; s = h + 11; t = e + 19; p = z + 18; d = c + 6; z = c + 1; e = d + 3; o = b + 20; c = 9; u = p + 1; y = u + 5; b = l + 19; l = t + 9. If c = 9, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 19 to o, which gives o = l + 39.\n2. Substitute l = t + 9 to o, which gives o = t + 48.\n3. Substitute t = e + 19 to o, which gives o = e + 67.\n4. Substitute e = d + 3 to o, which gives o = d + 70.\n5. Substitute d = c + 6 to o, which gives o = c + 76.\n6. Substitute c = 9 to o, which gives o = 85.\n\nThus, the final answer is o = \\boxed{85}.",
"index": 12750,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = y + 8; s = h + 11; t = e + 19; p = z + 18; d = c + 6; z = c + 1; e = d + 3; o = b + 20; c = 9; u = p + 1; y = u + 5; b = l + 19; l = t + 9. If c = 9, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 13", "k": "a + 17", "e": "k + 4", "y": "e + 11", "i": "y + 1", "o": "i + 12", "v": "f + 10", "j": "v + 19", "d": "j + 19", "s": "d + 3", "t": "s + 6", "g": "t + 3", "f": 16}, "premises": {"f": 16}, "target": "o"}, "answer": {"steps": [["i", "y + 1", "y + 13"], ["y", "e + 11", "e + 24"], ["e", "k + 4", "k + 28"], ["k", "a + 17", "a + 45"], ["a", "f + 13", "f + 58"], ["f", 16, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"f": 16}, "is_reverse": true}} | 12,751 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = j + 19; j = v + 19; v = f + 10; t = s + 6; o = i + 12; k = a + 17; a = f + 13; s = d + 3; f = 16; i = y + 1; y = e + 11; g = t + 3; e = k + 4. If f = 16, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 1 to o, which gives o = y + 13.\n2. Substitute y = e + 11 to o, which gives o = e + 24.\n3. Substitute e = k + 4 to o, which gives o = k + 28.\n4. Substitute k = a + 17 to o, which gives o = a + 45.\n5. Substitute a = f + 13 to o, which gives o = f + 58.\n6. Substitute f = 16 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 12751,
"question": "Consider a system of variables where each variable is defined as follows: d = j + 19; j = v + 19; v = f + 10; t = s + 6; o = i + 12; k = a + 17; a = f + 13; s = d + 3; f = 16; i = y + 1; y = e + 11; g = t + 3; e = k + 4. If f = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "e + 20", "w": "j + 3", "b": "w + 14", "h": "b + 8", "n": "h + 10", "v": "n + 14", "d": "e + 17", "c": "d + 11", "o": "c + 17", "k": "o + 10", "t": "k + 5", "a": "t + 10", "e": 11}, "premises": {"e": 11}, "target": "v"}, "answer": {"steps": [["n", "h + 10", "h + 24"], ["h", "b + 8", "b + 32"], ["b", "w + 14", "w + 46"], ["w", "j + 3", "j + 49"], ["j", "e + 20", "e + 69"], ["e", 11, "80"]], "target_var_name": "v", "target_value": 80, "value_dict": {"e": 11}, "is_reverse": true}} | 12,752 | 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 = o + 10; c = d + 11; a = t + 10; v = n + 14; e = 11; j = e + 20; n = h + 10; o = c + 17; d = e + 17; w = j + 3; h = b + 8; t = k + 5; b = w + 14. If e = 11, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 10 to v, which gives v = h + 24.\n2. Substitute h = b + 8 to v, which gives v = b + 32.\n3. Substitute b = w + 14 to v, which gives v = w + 46.\n4. Substitute w = j + 3 to v, which gives v = j + 49.\n5. Substitute j = e + 20 to v, which gives v = e + 69.\n6. Substitute e = 11 to v, which gives v = 80.\n\nThus, the final answer is v = \\boxed{80}.",
"index": 12752,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 10; c = d + 11; a = t + 10; v = n + 14; e = 11; j = e + 20; n = h + 10; o = c + 17; d = e + 17; w = j + 3; h = b + 8; t = k + 5; b = w + 14. If e = 11, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "z + 10", "q": "h + 14", "e": "q + 8", "f": "e + 15", "j": "f + 9", "g": "j + 12", "c": "z + 16", "a": "c + 16", "r": "a + 15", "b": "r + 13", "k": "b + 3", "m": "k + 10", "z": 14}, "premises": {"z": 14}, "target": "g"}, "answer": {"steps": [["j", "f + 9", "f + 21"], ["f", "e + 15", "e + 36"], ["e", "q + 8", "q + 44"], ["q", "h + 14", "h + 58"], ["h", "z + 10", "z + 68"], ["z", 14, "82"]], "target_var_name": "g", "target_value": 82, "value_dict": {"z": 14}, "is_reverse": true}} | 12,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 15; a = c + 16; q = h + 14; e = q + 8; b = r + 13; k = b + 3; j = f + 9; m = k + 10; f = e + 15; z = 14; g = j + 12; h = z + 10; c = z + 16. Given that z = 14, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = f + 9 to g, which gives g = f + 21.\n2. Substitute f = e + 15 to g, which gives g = e + 36.\n3. Substitute e = q + 8 to g, which gives g = q + 44.\n4. Substitute q = h + 14 to g, which gives g = h + 58.\n5. Substitute h = z + 10 to g, which gives g = z + 68.\n6. Substitute z = 14 to g, which gives g = 82.\n\nThus, the final answer is g = \\boxed{82}.",
"index": 12753,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 15; a = c + 16; q = h + 14; e = q + 8; b = r + 13; k = b + 3; j = f + 9; m = k + 10; f = e + 15; z = 14; g = j + 12; h = z + 10; c = z + 16. Given that z = 14, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"u": "l + 4", "a": "u + 11", "i": "a + 19", "p": "i + 18", "d": "p + 5", "n": "d + 2", "y": "l + 5", "w": "y + 9", "v": "w + 11", "z": "v + 13", "j": "z + 14", "g": "j + 1", "l": 17}, "premises": {"l": 17}, "target": "n"}, "answer": {"steps": [["d", "p + 5", "p + 7"], ["p", "i + 18", "i + 25"], ["i", "a + 19", "a + 44"], ["a", "u + 11", "u + 55"], ["u", "l + 4", "l + 59"], ["l", 17, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"l": 17}, "is_reverse": true}} | 12,754 | 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 = j + 1; y = l + 5; d = p + 5; j = z + 14; w = y + 9; p = i + 18; u = l + 4; a = u + 11; i = a + 19; v = w + 11; n = d + 2; l = 17; z = v + 13. If l = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = p + 5 to n, which gives n = p + 7.\n2. Substitute p = i + 18 to n, which gives n = i + 25.\n3. Substitute i = a + 19 to n, which gives n = a + 44.\n4. Substitute a = u + 11 to n, which gives n = u + 55.\n5. Substitute u = l + 4 to n, which gives n = l + 59.\n6. Substitute l = 17 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 12754,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = j + 1; y = l + 5; d = p + 5; j = z + 14; w = y + 9; p = i + 18; u = l + 4; a = u + 11; i = a + 19; v = w + 11; n = d + 2; l = 17; z = v + 13. If l = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 2", "x": "o + 15", "i": "x + 5", "q": "i + 3", "g": "q + 17", "d": "g + 3", "c": "b + 19", "r": "c + 20", "h": "r + 7", "w": "h + 20", "y": "w + 13", "k": "y + 10", "b": 20}, "premises": {"b": 20}, "target": "d"}, "answer": {"steps": [["g", "q + 17", "q + 20"], ["q", "i + 3", "i + 23"], ["i", "x + 5", "x + 28"], ["x", "o + 15", "o + 43"], ["o", "b + 2", "b + 45"], ["b", 20, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"b": 20}, "is_reverse": true}} | 12,755 | 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 = b + 2; k = y + 10; g = q + 17; b = 20; i = x + 5; c = b + 19; x = o + 15; h = r + 7; q = i + 3; w = h + 20; r = c + 20; d = g + 3; y = w + 13. If b = 20, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 17 to d, which gives d = q + 20.\n2. Substitute q = i + 3 to d, which gives d = i + 23.\n3. Substitute i = x + 5 to d, which gives d = x + 28.\n4. Substitute x = o + 15 to d, which gives d = o + 43.\n5. Substitute o = b + 2 to d, which gives d = b + 45.\n6. Substitute b = 20 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 12755,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = b + 2; k = y + 10; g = q + 17; b = 20; i = x + 5; c = b + 19; x = o + 15; h = r + 7; q = i + 3; w = h + 20; r = c + 20; d = g + 3; y = w + 13. If b = 20, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"e": "z + 12", "a": "e + 19", "t": "a + 16", "m": "t + 13", "n": "m + 9", "g": "n + 2", "l": "z + 12", "v": "l + 2", "c": "v + 11", "r": "c + 14", "b": "r + 1", "q": "b + 17", "z": 15}, "premises": {"z": 15}, "target": "g"}, "answer": {"steps": [["n", "m + 9", "m + 11"], ["m", "t + 13", "t + 24"], ["t", "a + 16", "a + 40"], ["a", "e + 19", "e + 59"], ["e", "z + 12", "z + 71"], ["z", 15, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"z": 15}, "is_reverse": true}} | 12,756 | 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 = l + 2; r = c + 14; n = m + 9; b = r + 1; a = e + 19; t = a + 16; e = z + 12; l = z + 12; q = b + 17; c = v + 11; g = n + 2; m = t + 13; z = 15. If z = 15, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = m + 9 to g, which gives g = m + 11.\n2. Substitute m = t + 13 to g, which gives g = t + 24.\n3. Substitute t = a + 16 to g, which gives g = a + 40.\n4. Substitute a = e + 19 to g, which gives g = e + 59.\n5. Substitute e = z + 12 to g, which gives g = z + 71.\n6. Substitute z = 15 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 12756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = l + 2; r = c + 14; n = m + 9; b = r + 1; a = e + 19; t = a + 16; e = z + 12; l = z + 12; q = b + 17; c = v + 11; g = n + 2; m = t + 13; z = 15. If z = 15, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "o + 3", "m": "i + 5", "p": "m + 15", "x": "p + 13", "l": "x + 18", "n": "l + 16", "w": "o + 9", "j": "w + 15", "t": "j + 2", "c": "t + 19", "q": "c + 7", "u": "q + 17", "o": 5}, "premises": {"o": 5}, "target": "n"}, "answer": {"steps": [["l", "x + 18", "x + 34"], ["x", "p + 13", "p + 47"], ["p", "m + 15", "m + 62"], ["m", "i + 5", "i + 67"], ["i", "o + 3", "o + 70"], ["o", 5, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"o": 5}, "is_reverse": true}} | 12,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = t + 19; i = o + 3; u = q + 17; w = o + 9; t = j + 2; o = 5; j = w + 15; l = x + 18; p = m + 15; n = l + 16; x = p + 13; m = i + 5; q = c + 7. If o = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 18 to n, which gives n = x + 34.\n2. Substitute x = p + 13 to n, which gives n = p + 47.\n3. Substitute p = m + 15 to n, which gives n = m + 62.\n4. Substitute m = i + 5 to n, which gives n = i + 67.\n5. Substitute i = o + 3 to n, which gives n = o + 70.\n6. Substitute o = 5 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 12757,
"question": "Consider a system of variables where each variable is defined as follows: c = t + 19; i = o + 3; u = q + 17; w = o + 9; t = j + 2; o = 5; j = w + 15; l = x + 18; p = m + 15; n = l + 16; x = p + 13; m = i + 5; q = c + 7. If o = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "s + 20", "m": "i + 12", "y": "m + 16", "a": "y + 2", "f": "a + 5", "j": "f + 1", "n": "s + 10", "o": "n + 5", "w": "o + 10", "x": "w + 1", "u": "x + 1", "c": "u + 5", "s": 20}, "premises": {"s": 20}, "target": "j"}, "answer": {"steps": [["f", "a + 5", "a + 6"], ["a", "y + 2", "y + 8"], ["y", "m + 16", "m + 24"], ["m", "i + 12", "i + 36"], ["i", "s + 20", "s + 56"], ["s", 20, "76"]], "target_var_name": "j", "target_value": 76, "value_dict": {"s": 20}, "is_reverse": true}} | 12,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = n + 5; i = s + 20; j = f + 1; s = 20; c = u + 5; n = s + 10; y = m + 16; a = y + 2; u = x + 1; f = a + 5; x = w + 1; m = i + 12; w = o + 10. If s = 20, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = a + 5 to j, which gives j = a + 6.\n2. Substitute a = y + 2 to j, which gives j = y + 8.\n3. Substitute y = m + 16 to j, which gives j = m + 24.\n4. Substitute m = i + 12 to j, which gives j = i + 36.\n5. Substitute i = s + 20 to j, which gives j = s + 56.\n6. Substitute s = 20 to j, which gives j = 76.\n\nThus, the final answer is j = \\boxed{76}.",
"index": 12758,
"question": "Consider a system of variables where each variable is defined as follows: o = n + 5; i = s + 20; j = f + 1; s = 20; c = u + 5; n = s + 10; y = m + 16; a = y + 2; u = x + 1; f = a + 5; x = w + 1; m = i + 12; w = o + 10. If s = 20, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"m": "c + 7", "r": "m + 1", "k": "r + 6", "j": "k + 14", "h": "j + 12", "g": "h + 20", "u": "c + 17", "b": "u + 9", "x": "b + 12", "z": "x + 12", "d": "z + 11", "q": "d + 19", "c": 15}, "premises": {"c": 15}, "target": "g"}, "answer": {"steps": [["h", "j + 12", "j + 32"], ["j", "k + 14", "k + 46"], ["k", "r + 6", "r + 52"], ["r", "m + 1", "m + 53"], ["m", "c + 7", "c + 60"], ["c", 15, "75"]], "target_var_name": "g", "target_value": 75, "value_dict": {"c": 15}, "is_reverse": true}} | 12,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = b + 12; h = j + 12; q = d + 19; g = h + 20; j = k + 14; r = m + 1; d = z + 11; m = c + 7; z = x + 12; c = 15; u = c + 17; k = r + 6; b = u + 9. If c = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 12 to g, which gives g = j + 32.\n2. Substitute j = k + 14 to g, which gives g = k + 46.\n3. Substitute k = r + 6 to g, which gives g = r + 52.\n4. Substitute r = m + 1 to g, which gives g = m + 53.\n5. Substitute m = c + 7 to g, which gives g = c + 60.\n6. Substitute c = 15 to g, which gives g = 75.\n\nThus, the final answer is g = \\boxed{75}.",
"index": 12759,
"question": "Consider a system of variables where each variable is defined as follows: x = b + 12; h = j + 12; q = d + 19; g = h + 20; j = k + 14; r = m + 1; d = z + 11; m = c + 7; z = x + 12; c = 15; u = c + 17; k = r + 6; b = u + 9. If c = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 5", "i": "m + 15", "b": "i + 2", "d": "b + 9", "y": "d + 12", "k": "y + 8", "s": "e + 18", "h": "s + 17", "f": "h + 2", "g": "f + 15", "p": "g + 18", "n": "p + 4", "e": 8}, "premises": {"e": 8}, "target": "k"}, "answer": {"steps": [["y", "d + 12", "d + 20"], ["d", "b + 9", "b + 29"], ["b", "i + 2", "i + 31"], ["i", "m + 15", "m + 46"], ["m", "e + 5", "e + 51"], ["e", 8, "59"]], "target_var_name": "k", "target_value": 59, "value_dict": {"e": 8}, "is_reverse": true}} | 12,760 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = g + 18; h = s + 17; f = h + 2; k = y + 8; i = m + 15; d = b + 9; n = p + 4; s = e + 18; e = 8; b = i + 2; g = f + 15; y = d + 12; m = e + 5. Given that e = 8, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = d + 12 to k, which gives k = d + 20.\n2. Substitute d = b + 9 to k, which gives k = b + 29.\n3. Substitute b = i + 2 to k, which gives k = i + 31.\n4. Substitute i = m + 15 to k, which gives k = m + 46.\n5. Substitute m = e + 5 to k, which gives k = e + 51.\n6. Substitute e = 8 to k, which gives k = 59.\n\nThus, the final answer is k = \\boxed{59}.",
"index": 12760,
"question": "Suppose a collection of variables is related by the following definitions: p = g + 18; h = s + 17; f = h + 2; k = y + 8; i = m + 15; d = b + 9; n = p + 4; s = e + 18; e = 8; b = i + 2; g = f + 15; y = d + 12; m = e + 5. Given that e = 8, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "u + 7", "p": "c + 8", "z": "p + 18", "s": "z + 15", "y": "s + 8", "q": "y + 15", "j": "u + 2", "n": "j + 20", "g": "n + 5", "d": "g + 18", "i": "d + 18", "b": "i + 20", "u": 14}, "premises": {"u": 14}, "target": "q"}, "answer": {"steps": [["y", "s + 8", "s + 23"], ["s", "z + 15", "z + 38"], ["z", "p + 18", "p + 56"], ["p", "c + 8", "c + 64"], ["c", "u + 7", "u + 71"], ["u", 14, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"u": 14}, "is_reverse": true}} | 12,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = c + 8; u = 14; j = u + 2; c = u + 7; s = z + 15; q = y + 15; n = j + 20; g = n + 5; z = p + 18; i = d + 18; y = s + 8; d = g + 18; b = i + 20. If u = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 8 to q, which gives q = s + 23.\n2. Substitute s = z + 15 to q, which gives q = z + 38.\n3. Substitute z = p + 18 to q, which gives q = p + 56.\n4. Substitute p = c + 8 to q, which gives q = c + 64.\n5. Substitute c = u + 7 to q, which gives q = u + 71.\n6. Substitute u = 14 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 12761,
"question": "Consider a system of variables where each variable is defined as follows: p = c + 8; u = 14; j = u + 2; c = u + 7; s = z + 15; q = y + 15; n = j + 20; g = n + 5; z = p + 18; i = d + 18; y = s + 8; d = g + 18; b = i + 20. If u = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "w + 12", "j": "n + 6", "x": "j + 9", "r": "x + 15", "u": "r + 8", "s": "u + 13", "i": "w + 6", "z": "i + 5", "v": "z + 5", "y": "v + 5", "m": "y + 2", "h": "m + 16", "w": 11}, "premises": {"w": 11}, "target": "s"}, "answer": {"steps": [["u", "r + 8", "r + 21"], ["r", "x + 15", "x + 36"], ["x", "j + 9", "j + 45"], ["j", "n + 6", "n + 51"], ["n", "w + 12", "w + 63"], ["w", 11, "74"]], "target_var_name": "s", "target_value": 74, "value_dict": {"w": 11}, "is_reverse": true}} | 12,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 8; i = w + 6; v = z + 5; s = u + 13; j = n + 6; m = y + 2; y = v + 5; r = x + 15; z = i + 5; h = m + 16; w = 11; n = w + 12; x = j + 9. If w = 11, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 8 to s, which gives s = r + 21.\n2. Substitute r = x + 15 to s, which gives s = x + 36.\n3. Substitute x = j + 9 to s, which gives s = j + 45.\n4. Substitute j = n + 6 to s, which gives s = n + 51.\n5. Substitute n = w + 12 to s, which gives s = w + 63.\n6. Substitute w = 11 to s, which gives s = 74.\n\nThus, the final answer is s = \\boxed{74}.",
"index": 12762,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 8; i = w + 6; v = z + 5; s = u + 13; j = n + 6; m = y + 2; y = v + 5; r = x + 15; z = i + 5; h = m + 16; w = 11; n = w + 12; x = j + 9. If w = 11, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 5", "k": "j + 3", "y": "k + 12", "b": "y + 6", "p": "b + 18", "i": "p + 3", "e": "q + 1", "t": "e + 18", "o": "t + 2", "d": "o + 1", "u": "d + 19", "g": "u + 12", "q": 2}, "premises": {"q": 2}, "target": "i"}, "answer": {"steps": [["p", "b + 18", "b + 21"], ["b", "y + 6", "y + 27"], ["y", "k + 12", "k + 39"], ["k", "j + 3", "j + 42"], ["j", "q + 5", "q + 47"], ["q", 2, "49"]], "target_var_name": "i", "target_value": 49, "value_dict": {"q": 2}, "is_reverse": true}} | 12,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 6; g = u + 12; u = d + 19; k = j + 3; e = q + 1; d = o + 1; j = q + 5; y = k + 12; o = t + 2; i = p + 3; t = e + 18; p = b + 18; q = 2. Given that q = 2, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 18 to i, which gives i = b + 21.\n2. Substitute b = y + 6 to i, which gives i = y + 27.\n3. Substitute y = k + 12 to i, which gives i = k + 39.\n4. Substitute k = j + 3 to i, which gives i = j + 42.\n5. Substitute j = q + 5 to i, which gives i = q + 47.\n6. Substitute q = 2 to i, which gives i = 49.\n\nThus, the final answer is i = \\boxed{49}.",
"index": 12763,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 6; g = u + 12; u = d + 19; k = j + 3; e = q + 1; d = o + 1; j = q + 5; y = k + 12; o = t + 2; i = p + 3; t = e + 18; p = b + 18; q = 2. Given that q = 2, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 1", "h": "d + 6", "u": "h + 20", "q": "u + 14", "r": "q + 20", "k": "r + 8", "e": "f + 9", "l": "e + 4", "p": "l + 9", "s": "p + 18", "j": "s + 19", "v": "j + 17", "f": 3}, "premises": {"f": 3}, "target": "k"}, "answer": {"steps": [["r", "q + 20", "q + 28"], ["q", "u + 14", "u + 42"], ["u", "h + 20", "h + 62"], ["h", "d + 6", "d + 68"], ["d", "f + 1", "f + 69"], ["f", 3, "72"]], "target_var_name": "k", "target_value": 72, "value_dict": {"f": 3}, "is_reverse": true}} | 12,764 | 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 = 3; u = h + 20; q = u + 14; k = r + 8; d = f + 1; p = l + 9; l = e + 4; r = q + 20; h = d + 6; s = p + 18; e = f + 9; j = s + 19; v = j + 17. If f = 3, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = q + 20 to k, which gives k = q + 28.\n2. Substitute q = u + 14 to k, which gives k = u + 42.\n3. Substitute u = h + 20 to k, which gives k = h + 62.\n4. Substitute h = d + 6 to k, which gives k = d + 68.\n5. Substitute d = f + 1 to k, which gives k = f + 69.\n6. Substitute f = 3 to k, which gives k = 72.\n\nThus, the final answer is k = \\boxed{72}.",
"index": 12764,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 3; u = h + 20; q = u + 14; k = r + 8; d = f + 1; p = l + 9; l = e + 4; r = q + 20; h = d + 6; s = p + 18; e = f + 9; j = s + 19; v = j + 17. If f = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"h": "m + 13", "w": "h + 3", "e": "w + 13", "r": "e + 3", "t": "r + 17", "y": "t + 14", "o": "m + 17", "x": "o + 8", "c": "x + 11", "l": "c + 15", "g": "l + 10", "d": "g + 12", "m": 13}, "premises": {"m": 13}, "target": "y"}, "answer": {"steps": [["t", "r + 17", "r + 31"], ["r", "e + 3", "e + 34"], ["e", "w + 13", "w + 47"], ["w", "h + 3", "h + 50"], ["h", "m + 13", "m + 63"], ["m", 13, "76"]], "target_var_name": "y", "target_value": 76, "value_dict": {"m": 13}, "is_reverse": true}} | 12,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = g + 12; o = m + 17; m = 13; e = w + 13; h = m + 13; l = c + 15; w = h + 3; t = r + 17; c = x + 11; y = t + 14; r = e + 3; g = l + 10; x = o + 8. Given that m = 13, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 17 to y, which gives y = r + 31.\n2. Substitute r = e + 3 to y, which gives y = e + 34.\n3. Substitute e = w + 13 to y, which gives y = w + 47.\n4. Substitute w = h + 3 to y, which gives y = h + 50.\n5. Substitute h = m + 13 to y, which gives y = m + 63.\n6. Substitute m = 13 to y, which gives y = 76.\n\nThus, the final answer is y = \\boxed{76}.",
"index": 12765,
"question": "Suppose a collection of variables is related by the following definitions: d = g + 12; o = m + 17; m = 13; e = w + 13; h = m + 13; l = c + 15; w = h + 3; t = r + 17; c = x + 11; y = t + 14; r = e + 3; g = l + 10; x = o + 8. Given that m = 13, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 8", "f": "h + 3", "x": "f + 12", "d": "x + 5", "l": "d + 10", "m": "l + 12", "o": "e + 16", "v": "o + 18", "s": "v + 11", "w": "s + 4", "g": "w + 16", "c": "g + 1", "e": 4}, "premises": {"e": 4}, "target": "m"}, "answer": {"steps": [["l", "d + 10", "d + 22"], ["d", "x + 5", "x + 27"], ["x", "f + 12", "f + 39"], ["f", "h + 3", "h + 42"], ["h", "e + 8", "e + 50"], ["e", 4, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"e": 4}, "is_reverse": true}} | 12,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = e + 8; g = w + 16; e = 4; l = d + 10; c = g + 1; m = l + 12; o = e + 16; s = v + 11; f = h + 3; w = s + 4; v = o + 18; x = f + 12; d = x + 5. If e = 4, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 10 to m, which gives m = d + 22.\n2. Substitute d = x + 5 to m, which gives m = x + 27.\n3. Substitute x = f + 12 to m, which gives m = f + 39.\n4. Substitute f = h + 3 to m, which gives m = h + 42.\n5. Substitute h = e + 8 to m, which gives m = e + 50.\n6. Substitute e = 4 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 12766,
"question": "Consider a system of variables where each variable is defined as follows: h = e + 8; g = w + 16; e = 4; l = d + 10; c = g + 1; m = l + 12; o = e + 16; s = v + 11; f = h + 3; w = s + 4; v = o + 18; x = f + 12; d = x + 5. If e = 4, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 7", "s": "q + 15", "c": "s + 17", "v": "c + 1", "h": "v + 15", "f": "h + 1", "r": "z + 12", "x": "r + 12", "w": "x + 17", "k": "w + 14", "j": "k + 15", "l": "j + 18", "z": 20}, "premises": {"z": 20}, "target": "f"}, "answer": {"steps": [["h", "v + 15", "v + 16"], ["v", "c + 1", "c + 17"], ["c", "s + 17", "s + 34"], ["s", "q + 15", "q + 49"], ["q", "z + 7", "z + 56"], ["z", 20, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"z": 20}, "is_reverse": true}} | 12,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 1; l = j + 18; h = v + 15; v = c + 1; q = z + 7; s = q + 15; c = s + 17; r = z + 12; x = r + 12; k = w + 14; z = 20; w = x + 17; j = k + 15. If z = 20, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 15 to f, which gives f = v + 16.\n2. Substitute v = c + 1 to f, which gives f = c + 17.\n3. Substitute c = s + 17 to f, which gives f = s + 34.\n4. Substitute s = q + 15 to f, which gives f = q + 49.\n5. Substitute q = z + 7 to f, which gives f = z + 56.\n6. Substitute z = 20 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 12767,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 1; l = j + 18; h = v + 15; v = c + 1; q = z + 7; s = q + 15; c = s + 17; r = z + 12; x = r + 12; k = w + 14; z = 20; w = x + 17; j = k + 15. If z = 20, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "y + 4", "r": "j + 3", "q": "r + 18", "w": "q + 17", "b": "w + 15", "t": "b + 15", "s": "y + 13", "g": "s + 16", "z": "g + 9", "o": "z + 17", "p": "o + 13", "l": "p + 18", "y": 3}, "premises": {"y": 3}, "target": "t"}, "answer": {"steps": [["b", "w + 15", "w + 30"], ["w", "q + 17", "q + 47"], ["q", "r + 18", "r + 65"], ["r", "j + 3", "j + 68"], ["j", "y + 4", "y + 72"], ["y", 3, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"y": 3}, "is_reverse": true}} | 12,768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = b + 15; q = r + 18; b = w + 15; w = q + 17; g = s + 16; p = o + 13; o = z + 17; r = j + 3; j = y + 4; y = 3; s = y + 13; l = p + 18; z = g + 9. If y = 3, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 15 to t, which gives t = w + 30.\n2. Substitute w = q + 17 to t, which gives t = q + 47.\n3. Substitute q = r + 18 to t, which gives t = r + 65.\n4. Substitute r = j + 3 to t, which gives t = j + 68.\n5. Substitute j = y + 4 to t, which gives t = y + 72.\n6. Substitute y = 3 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 12768,
"question": "Consider a system of variables where each variable is defined as follows: t = b + 15; q = r + 18; b = w + 15; w = q + 17; g = s + 16; p = o + 13; o = z + 17; r = j + 3; j = y + 4; y = 3; s = y + 13; l = p + 18; z = g + 9. If y = 3, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 6", "n": "e + 7", "z": "n + 19", "f": "z + 1", "d": "f + 10", "o": "d + 9", "s": "r + 14", "g": "s + 14", "b": "g + 11", "m": "b + 19", "v": "m + 6", "h": "v + 10", "r": 8}, "premises": {"r": 8}, "target": "o"}, "answer": {"steps": [["d", "f + 10", "f + 19"], ["f", "z + 1", "z + 20"], ["z", "n + 19", "n + 39"], ["n", "e + 7", "e + 46"], ["e", "r + 6", "r + 52"], ["r", 8, "60"]], "target_var_name": "o", "target_value": 60, "value_dict": {"r": 8}, "is_reverse": true}} | 12,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 10; m = b + 19; s = r + 14; o = d + 9; f = z + 1; v = m + 6; r = 8; n = e + 7; g = s + 14; e = r + 6; d = f + 10; b = g + 11; z = n + 19. If r = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 10 to o, which gives o = f + 19.\n2. Substitute f = z + 1 to o, which gives o = z + 20.\n3. Substitute z = n + 19 to o, which gives o = n + 39.\n4. Substitute n = e + 7 to o, which gives o = e + 46.\n5. Substitute e = r + 6 to o, which gives o = r + 52.\n6. Substitute r = 8 to o, which gives o = 60.\n\nThus, the final answer is o = \\boxed{60}.",
"index": 12769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = v + 10; m = b + 19; s = r + 14; o = d + 9; f = z + 1; v = m + 6; r = 8; n = e + 7; g = s + 14; e = r + 6; d = f + 10; b = g + 11; z = n + 19. If r = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"i": "d + 2", "e": "i + 3", "t": "e + 8", "m": "t + 4", "l": "m + 3", "k": "l + 4", "o": "d + 4", "u": "o + 14", "h": "u + 4", "g": "h + 17", "n": "g + 7", "w": "n + 16", "d": 4}, "premises": {"d": 4}, "target": "k"}, "answer": {"steps": [["l", "m + 3", "m + 7"], ["m", "t + 4", "t + 11"], ["t", "e + 8", "e + 19"], ["e", "i + 3", "i + 22"], ["i", "d + 2", "d + 24"], ["d", 4, "28"]], "target_var_name": "k", "target_value": 28, "value_dict": {"d": 4}, "is_reverse": true}} | 12,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 4; n = g + 7; t = e + 8; k = l + 4; e = i + 3; w = n + 16; h = u + 4; l = m + 3; g = h + 17; u = o + 14; i = d + 2; m = t + 4; o = d + 4. If d = 4, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 3 to k, which gives k = m + 7.\n2. Substitute m = t + 4 to k, which gives k = t + 11.\n3. Substitute t = e + 8 to k, which gives k = e + 19.\n4. Substitute e = i + 3 to k, which gives k = i + 22.\n5. Substitute i = d + 2 to k, which gives k = d + 24.\n6. Substitute d = 4 to k, which gives k = 28.\n\nThus, the final answer is k = \\boxed{28}.",
"index": 12770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 4; n = g + 7; t = e + 8; k = l + 4; e = i + 3; w = n + 16; h = u + 4; l = m + 3; g = h + 17; u = o + 14; i = d + 2; m = t + 4; o = d + 4. If d = 4, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"q": "f + 11", "g": "q + 6", "p": "g + 5", "u": "p + 7", "d": "u + 11", "w": "d + 2", "z": "f + 19", "i": "z + 3", "o": "i + 16", "y": "o + 4", "x": "y + 14", "l": "x + 12", "f": 4}, "premises": {"f": 4}, "target": "w"}, "answer": {"steps": [["d", "u + 11", "u + 13"], ["u", "p + 7", "p + 20"], ["p", "g + 5", "g + 25"], ["g", "q + 6", "q + 31"], ["q", "f + 11", "f + 42"], ["f", 4, "46"]], "target_var_name": "w", "target_value": 46, "value_dict": {"f": 4}, "is_reverse": true}} | 12,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 16; u = p + 7; w = d + 2; d = u + 11; f = 4; l = x + 12; x = y + 14; g = q + 6; i = z + 3; q = f + 11; z = f + 19; y = o + 4; p = g + 5. If f = 4, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 11 to w, which gives w = u + 13.\n2. Substitute u = p + 7 to w, which gives w = p + 20.\n3. Substitute p = g + 5 to w, which gives w = g + 25.\n4. Substitute g = q + 6 to w, which gives w = q + 31.\n5. Substitute q = f + 11 to w, which gives w = f + 42.\n6. Substitute f = 4 to w, which gives w = 46.\n\nThus, the final answer is w = \\boxed{46}.",
"index": 12771,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 16; u = p + 7; w = d + 2; d = u + 11; f = 4; l = x + 12; x = y + 14; g = q + 6; i = z + 3; q = f + 11; z = f + 19; y = o + 4; p = g + 5. If f = 4, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"o": "t + 14", "y": "o + 5", "n": "y + 19", "b": "n + 9", "m": "b + 11", "i": "m + 19", "e": "t + 13", "w": "e + 3", "r": "w + 10", "x": "r + 14", "h": "x + 8", "f": "h + 7", "t": 4}, "premises": {"t": 4}, "target": "i"}, "answer": {"steps": [["m", "b + 11", "b + 30"], ["b", "n + 9", "n + 39"], ["n", "y + 19", "y + 58"], ["y", "o + 5", "o + 63"], ["o", "t + 14", "t + 77"], ["t", 4, "81"]], "target_var_name": "i", "target_value": 81, "value_dict": {"t": 4}, "is_reverse": true}} | 12,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = o + 5; r = w + 10; f = h + 7; i = m + 19; m = b + 11; w = e + 3; e = t + 13; t = 4; o = t + 14; h = x + 8; b = n + 9; x = r + 14; n = y + 19. If t = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 11 to i, which gives i = b + 30.\n2. Substitute b = n + 9 to i, which gives i = n + 39.\n3. Substitute n = y + 19 to i, which gives i = y + 58.\n4. Substitute y = o + 5 to i, which gives i = o + 63.\n5. Substitute o = t + 14 to i, which gives i = t + 77.\n6. Substitute t = 4 to i, which gives i = 81.\n\nThus, the final answer is i = \\boxed{81}.",
"index": 12772,
"question": "Consider a system of variables where each variable is defined as follows: y = o + 5; r = w + 10; f = h + 7; i = m + 19; m = b + 11; w = e + 3; e = t + 13; t = 4; o = t + 14; h = x + 8; b = n + 9; x = r + 14; n = y + 19. If t = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 19", "z": "o + 20", "q": "z + 4", "d": "q + 12", "p": "d + 11", "u": "p + 8", "a": "g + 7", "f": "a + 2", "w": "f + 9", "b": "w + 2", "l": "b + 18", "t": "l + 17", "g": 7}, "premises": {"g": 7}, "target": "u"}, "answer": {"steps": [["p", "d + 11", "d + 19"], ["d", "q + 12", "q + 31"], ["q", "z + 4", "z + 35"], ["z", "o + 20", "o + 55"], ["o", "g + 19", "g + 74"], ["g", 7, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"g": 7}, "is_reverse": true}} | 12,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = w + 2; f = a + 2; l = b + 18; g = 7; a = g + 7; w = f + 9; p = d + 11; d = q + 12; z = o + 20; q = z + 4; u = p + 8; t = l + 17; o = g + 19. Given that g = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 11 to u, which gives u = d + 19.\n2. Substitute d = q + 12 to u, which gives u = q + 31.\n3. Substitute q = z + 4 to u, which gives u = z + 35.\n4. Substitute z = o + 20 to u, which gives u = o + 55.\n5. Substitute o = g + 19 to u, which gives u = g + 74.\n6. Substitute g = 7 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 12773,
"question": "Suppose a collection of variables is related by the following definitions: b = w + 2; f = a + 2; l = b + 18; g = 7; a = g + 7; w = f + 9; p = d + 11; d = q + 12; z = o + 20; q = z + 4; u = p + 8; t = l + 17; o = g + 19. Given that g = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 4", "j": "m + 14", "d": "j + 3", "e": "d + 7", "l": "e + 10", "p": "l + 16", "q": "k + 14", "t": "q + 4", "u": "t + 17", "a": "u + 16", "f": "a + 18", "z": "f + 4", "k": 4}, "premises": {"k": 4}, "target": "p"}, "answer": {"steps": [["l", "e + 10", "e + 26"], ["e", "d + 7", "d + 33"], ["d", "j + 3", "j + 36"], ["j", "m + 14", "m + 50"], ["m", "k + 4", "k + 54"], ["k", 4, "58"]], "target_var_name": "p", "target_value": 58, "value_dict": {"k": 4}, "is_reverse": true}} | 12,774 | 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 = 4; t = q + 4; f = a + 18; p = l + 16; e = d + 7; m = k + 4; u = t + 17; q = k + 14; a = u + 16; d = j + 3; j = m + 14; l = e + 10; z = f + 4. If k = 4, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = e + 10 to p, which gives p = e + 26.\n2. Substitute e = d + 7 to p, which gives p = d + 33.\n3. Substitute d = j + 3 to p, which gives p = j + 36.\n4. Substitute j = m + 14 to p, which gives p = m + 50.\n5. Substitute m = k + 4 to p, which gives p = k + 54.\n6. Substitute k = 4 to p, which gives p = 58.\n\nThus, the final answer is p = \\boxed{58}.",
"index": 12774,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = 4; t = q + 4; f = a + 18; p = l + 16; e = d + 7; m = k + 4; u = t + 17; q = k + 14; a = u + 16; d = j + 3; j = m + 14; l = e + 10; z = f + 4. If k = 4, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 5", "m": "o + 12", "j": "m + 17", "s": "j + 10", "h": "s + 9", "q": "h + 7", "p": "w + 6", "v": "p + 5", "a": "v + 16", "f": "a + 17", "t": "f + 9", "e": "t + 17", "w": 7}, "premises": {"w": 7}, "target": "q"}, "answer": {"steps": [["h", "s + 9", "s + 16"], ["s", "j + 10", "j + 26"], ["j", "m + 17", "m + 43"], ["m", "o + 12", "o + 55"], ["o", "w + 5", "w + 60"], ["w", 7, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"w": 7}, "is_reverse": true}} | 12,775 | 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 = p + 5; a = v + 16; o = w + 5; h = s + 9; e = t + 17; m = o + 12; f = a + 17; s = j + 10; q = h + 7; p = w + 6; w = 7; j = m + 17; t = f + 9. If w = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 9 to q, which gives q = s + 16.\n2. Substitute s = j + 10 to q, which gives q = j + 26.\n3. Substitute j = m + 17 to q, which gives q = m + 43.\n4. Substitute m = o + 12 to q, which gives q = o + 55.\n5. Substitute o = w + 5 to q, which gives q = w + 60.\n6. Substitute w = 7 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 12775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = p + 5; a = v + 16; o = w + 5; h = s + 9; e = t + 17; m = o + 12; f = a + 17; s = j + 10; q = h + 7; p = w + 6; w = 7; j = m + 17; t = f + 9. If w = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 19", "i": "y + 14", "b": "i + 3", "a": "b + 20", "w": "a + 8", "h": "w + 11", "u": "p + 12", "l": "u + 3", "m": "l + 3", "k": "m + 2", "n": "k + 13", "d": "n + 5", "p": 20}, "premises": {"p": 20}, "target": "h"}, "answer": {"steps": [["w", "a + 8", "a + 19"], ["a", "b + 20", "b + 39"], ["b", "i + 3", "i + 42"], ["i", "y + 14", "y + 56"], ["y", "p + 19", "p + 75"], ["p", 20, "95"]], "target_var_name": "h", "target_value": 95, "value_dict": {"p": 20}, "is_reverse": true}} | 12,776 | 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 + 8; u = p + 12; k = m + 2; d = n + 5; m = l + 3; a = b + 20; y = p + 19; i = y + 14; b = i + 3; p = 20; l = u + 3; n = k + 13; h = w + 11. If p = 20, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = a + 8 to h, which gives h = a + 19.\n2. Substitute a = b + 20 to h, which gives h = b + 39.\n3. Substitute b = i + 3 to h, which gives h = i + 42.\n4. Substitute i = y + 14 to h, which gives h = y + 56.\n5. Substitute y = p + 19 to h, which gives h = p + 75.\n6. Substitute p = 20 to h, which gives h = 95.\n\nThus, the final answer is h = \\boxed{95}.",
"index": 12776,
"question": "Consider a system of variables where each variable is defined as follows: w = a + 8; u = p + 12; k = m + 2; d = n + 5; m = l + 3; a = b + 20; y = p + 19; i = y + 14; b = i + 3; p = 20; l = u + 3; n = k + 13; h = w + 11. If p = 20, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 13", "r": "g + 10", "f": "r + 4", "z": "f + 4", "c": "z + 11", "x": "c + 20", "k": "l + 7", "u": "k + 3", "o": "u + 10", "j": "o + 14", "m": "j + 6", "y": "m + 1", "l": 3}, "premises": {"l": 3}, "target": "x"}, "answer": {"steps": [["c", "z + 11", "z + 31"], ["z", "f + 4", "f + 35"], ["f", "r + 4", "r + 39"], ["r", "g + 10", "g + 49"], ["g", "l + 13", "l + 62"], ["l", 3, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"l": 3}, "is_reverse": true}} | 12,777 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = j + 6; j = o + 14; f = r + 4; u = k + 3; k = l + 7; l = 3; r = g + 10; g = l + 13; y = m + 1; c = z + 11; o = u + 10; z = f + 4; x = c + 20. Given that l = 3, find 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 c = z + 11 to x, which gives x = z + 31.\n2. Substitute z = f + 4 to x, which gives x = f + 35.\n3. Substitute f = r + 4 to x, which gives x = r + 39.\n4. Substitute r = g + 10 to x, which gives x = g + 49.\n5. Substitute g = l + 13 to x, which gives x = l + 62.\n6. Substitute l = 3 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 12777,
"question": "Suppose a collection of variables is related by the following definitions: m = j + 6; j = o + 14; f = r + 4; u = k + 3; k = l + 7; l = 3; r = g + 10; g = l + 13; y = m + 1; c = z + 11; o = u + 10; z = f + 4; x = c + 20. Given that l = 3, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 12", "y": "h + 19", "q": "y + 9", "c": "q + 10", "w": "c + 3", "r": "w + 15", "g": "f + 15", "b": "g + 12", "d": "b + 11", "x": "d + 1", "j": "x + 5", "o": "j + 15", "f": 20}, "premises": {"f": 20}, "target": "r"}, "answer": {"steps": [["w", "c + 3", "c + 18"], ["c", "q + 10", "q + 28"], ["q", "y + 9", "y + 37"], ["y", "h + 19", "h + 56"], ["h", "f + 12", "f + 68"], ["f", 20, "88"]], "target_var_name": "r", "target_value": 88, "value_dict": {"f": 20}, "is_reverse": true}} | 12,778 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = x + 5; x = d + 1; c = q + 10; h = f + 12; g = f + 15; q = y + 9; f = 20; w = c + 3; o = j + 15; r = w + 15; d = b + 11; b = g + 12; y = h + 19. Given that f = 20, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 3 to r, which gives r = c + 18.\n2. Substitute c = q + 10 to r, which gives r = q + 28.\n3. Substitute q = y + 9 to r, which gives r = y + 37.\n4. Substitute y = h + 19 to r, which gives r = h + 56.\n5. Substitute h = f + 12 to r, which gives r = f + 68.\n6. Substitute f = 20 to r, which gives r = 88.\n\nThus, the final answer is r = \\boxed{88}.",
"index": 12778,
"question": "Suppose a collection of variables is related by the following definitions: j = x + 5; x = d + 1; c = q + 10; h = f + 12; g = f + 15; q = y + 9; f = 20; w = c + 3; o = j + 15; r = w + 15; d = b + 11; b = g + 12; y = h + 19. Given that f = 20, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 17", "z": "q + 11", "m": "z + 17", "y": "m + 20", "h": "y + 19", "c": "h + 5", "g": "j + 17", "l": "g + 12", "a": "l + 6", "d": "a + 17", "u": "d + 18", "e": "u + 3", "j": 10}, "premises": {"j": 10}, "target": "c"}, "answer": {"steps": [["h", "y + 19", "y + 24"], ["y", "m + 20", "m + 44"], ["m", "z + 17", "z + 61"], ["z", "q + 11", "q + 72"], ["q", "j + 17", "j + 89"], ["j", 10, "99"]], "target_var_name": "c", "target_value": 99, "value_dict": {"j": 10}, "is_reverse": true}} | 12,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 12; m = z + 17; c = h + 5; j = 10; a = l + 6; y = m + 20; q = j + 17; g = j + 17; h = y + 19; d = a + 17; u = d + 18; e = u + 3; z = q + 11. If j = 10, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 19 to c, which gives c = y + 24.\n2. Substitute y = m + 20 to c, which gives c = m + 44.\n3. Substitute m = z + 17 to c, which gives c = z + 61.\n4. Substitute z = q + 11 to c, which gives c = q + 72.\n5. Substitute q = j + 17 to c, which gives c = j + 89.\n6. Substitute j = 10 to c, which gives c = 99.\n\nThus, the final answer is c = \\boxed{99}.",
"index": 12779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = g + 12; m = z + 17; c = h + 5; j = 10; a = l + 6; y = m + 20; q = j + 17; g = j + 17; h = y + 19; d = a + 17; u = d + 18; e = u + 3; z = q + 11. If j = 10, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"s": "l + 10", "p": "s + 13", "u": "p + 4", "w": "u + 16", "k": "w + 13", "q": "k + 19", "z": "l + 5", "r": "z + 16", "o": "r + 3", "x": "o + 3", "v": "x + 13", "g": "v + 1", "l": 19}, "premises": {"l": 19}, "target": "q"}, "answer": {"steps": [["k", "w + 13", "w + 32"], ["w", "u + 16", "u + 48"], ["u", "p + 4", "p + 52"], ["p", "s + 13", "s + 65"], ["s", "l + 10", "l + 75"], ["l", 19, "94"]], "target_var_name": "q", "target_value": 94, "value_dict": {"l": 19}, "is_reverse": true}} | 12,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 16; l = 19; v = x + 13; s = l + 10; o = r + 3; p = s + 13; g = v + 1; x = o + 3; u = p + 4; q = k + 19; z = l + 5; r = z + 16; k = w + 13. If l = 19, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 13 to q, which gives q = w + 32.\n2. Substitute w = u + 16 to q, which gives q = u + 48.\n3. Substitute u = p + 4 to q, which gives q = p + 52.\n4. Substitute p = s + 13 to q, which gives q = s + 65.\n5. Substitute s = l + 10 to q, which gives q = l + 75.\n6. Substitute l = 19 to q, which gives q = 94.\n\nThus, the final answer is q = \\boxed{94}.",
"index": 12780,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 16; l = 19; v = x + 13; s = l + 10; o = r + 3; p = s + 13; g = v + 1; x = o + 3; u = p + 4; q = k + 19; z = l + 5; r = z + 16; k = w + 13. If l = 19, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"j": "z + 4", "h": "j + 12", "o": "h + 14", "g": "o + 17", "u": "g + 17", "s": "u + 13", "v": "z + 19", "b": "v + 7", "a": "b + 17", "k": "a + 17", "e": "k + 17", "r": "e + 9", "z": 11}, "premises": {"z": 11}, "target": "s"}, "answer": {"steps": [["u", "g + 17", "g + 30"], ["g", "o + 17", "o + 47"], ["o", "h + 14", "h + 61"], ["h", "j + 12", "j + 73"], ["j", "z + 4", "z + 77"], ["z", 11, "88"]], "target_var_name": "s", "target_value": 88, "value_dict": {"z": 11}, "is_reverse": true}} | 12,781 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 17; v = z + 19; r = e + 9; h = j + 12; o = h + 14; s = u + 13; g = o + 17; z = 11; e = k + 17; b = v + 7; j = z + 4; a = b + 17; k = a + 17. If z = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = g + 17 to s, which gives s = g + 30.\n2. Substitute g = o + 17 to s, which gives s = o + 47.\n3. Substitute o = h + 14 to s, which gives s = h + 61.\n4. Substitute h = j + 12 to s, which gives s = j + 73.\n5. Substitute j = z + 4 to s, which gives s = z + 77.\n6. Substitute z = 11 to s, which gives s = 88.\n\nThus, the final answer is s = \\boxed{88}.",
"index": 12781,
"question": "Consider a system of variables where each variable is defined as follows: u = g + 17; v = z + 19; r = e + 9; h = j + 12; o = h + 14; s = u + 13; g = o + 17; z = 11; e = k + 17; b = v + 7; j = z + 4; a = b + 17; k = a + 17. If z = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 20", "a": "o + 9", "u": "a + 18", "v": "u + 13", "n": "v + 6", "i": "n + 12", "l": "q + 4", "j": "l + 14", "w": "j + 6", "b": "w + 8", "k": "b + 17", "z": "k + 6", "q": 16}, "premises": {"q": 16}, "target": "i"}, "answer": {"steps": [["n", "v + 6", "v + 18"], ["v", "u + 13", "u + 31"], ["u", "a + 18", "a + 49"], ["a", "o + 9", "o + 58"], ["o", "q + 20", "q + 78"], ["q", 16, "94"]], "target_var_name": "i", "target_value": 94, "value_dict": {"q": 16}, "is_reverse": true}} | 12,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 17; i = n + 12; z = k + 6; j = l + 14; w = j + 6; n = v + 6; q = 16; v = u + 13; l = q + 4; b = w + 8; o = q + 20; u = a + 18; a = o + 9. If q = 16, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 6 to i, which gives i = v + 18.\n2. Substitute v = u + 13 to i, which gives i = u + 31.\n3. Substitute u = a + 18 to i, which gives i = a + 49.\n4. Substitute a = o + 9 to i, which gives i = o + 58.\n5. Substitute o = q + 20 to i, which gives i = q + 78.\n6. Substitute q = 16 to i, which gives i = 94.\n\nThus, the final answer is i = \\boxed{94}.",
"index": 12782,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 17; i = n + 12; z = k + 6; j = l + 14; w = j + 6; n = v + 6; q = 16; v = u + 13; l = q + 4; b = w + 8; o = q + 20; u = a + 18; a = o + 9. If q = 16, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 18", "n": "x + 18", "t": "n + 14", "k": "t + 17", "o": "k + 6", "b": "o + 6", "p": "f + 4", "a": "p + 14", "d": "a + 19", "l": "d + 4", "z": "l + 1", "c": "z + 2", "f": 18}, "premises": {"f": 18}, "target": "b"}, "answer": {"steps": [["o", "k + 6", "k + 12"], ["k", "t + 17", "t + 29"], ["t", "n + 14", "n + 43"], ["n", "x + 18", "x + 61"], ["x", "f + 18", "f + 79"], ["f", 18, "97"]], "target_var_name": "b", "target_value": 97, "value_dict": {"f": 18}, "is_reverse": true}} | 12,783 | 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 = x + 18; x = f + 18; p = f + 4; d = a + 19; f = 18; z = l + 1; c = z + 2; l = d + 4; o = k + 6; b = o + 6; t = n + 14; a = p + 14; k = t + 17. If f = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 6 to b, which gives b = k + 12.\n2. Substitute k = t + 17 to b, which gives b = t + 29.\n3. Substitute t = n + 14 to b, which gives b = n + 43.\n4. Substitute n = x + 18 to b, which gives b = x + 61.\n5. Substitute x = f + 18 to b, which gives b = f + 79.\n6. Substitute f = 18 to b, which gives b = 97.\n\nThus, the final answer is b = \\boxed{97}.",
"index": 12783,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = x + 18; x = f + 18; p = f + 4; d = a + 19; f = 18; z = l + 1; c = z + 2; l = d + 4; o = k + 6; b = o + 6; t = n + 14; a = p + 14; k = t + 17. If f = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 9", "b": "a + 6", "m": "b + 7", "p": "m + 8", "i": "p + 3", "r": "i + 3", "n": "q + 9", "t": "n + 17", "e": "t + 5", "c": "e + 18", "o": "c + 15", "h": "o + 16", "q": 4}, "premises": {"q": 4}, "target": "r"}, "answer": {"steps": [["i", "p + 3", "p + 6"], ["p", "m + 8", "m + 14"], ["m", "b + 7", "b + 21"], ["b", "a + 6", "a + 27"], ["a", "q + 9", "q + 36"], ["q", 4, "40"]], "target_var_name": "r", "target_value": 40, "value_dict": {"q": 4}, "is_reverse": true}} | 12,784 | 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 = c + 15; i = p + 3; a = q + 9; m = b + 7; q = 4; r = i + 3; h = o + 16; e = t + 5; b = a + 6; p = m + 8; n = q + 9; c = e + 18; t = n + 17. If q = 4, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 40,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 3 to r, which gives r = p + 6.\n2. Substitute p = m + 8 to r, which gives r = m + 14.\n3. Substitute m = b + 7 to r, which gives r = b + 21.\n4. Substitute b = a + 6 to r, which gives r = a + 27.\n5. Substitute a = q + 9 to r, which gives r = q + 36.\n6. Substitute q = 4 to r, which gives r = 40.\n\nThus, the final answer is r = \\boxed{40}.",
"index": 12784,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = c + 15; i = p + 3; a = q + 9; m = b + 7; q = 4; r = i + 3; h = o + 16; e = t + 5; b = a + 6; p = m + 8; n = q + 9; c = e + 18; t = n + 17. If q = 4, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 13", "b": "u + 18", "l": "b + 3", "a": "l + 15", "j": "a + 16", "p": "j + 12", "g": "n + 10", "o": "g + 2", "w": "o + 17", "h": "w + 8", "k": "h + 15", "q": "k + 12", "n": 4}, "premises": {"n": 4}, "target": "p"}, "answer": {"steps": [["j", "a + 16", "a + 28"], ["a", "l + 15", "l + 43"], ["l", "b + 3", "b + 46"], ["b", "u + 18", "u + 64"], ["u", "n + 13", "n + 77"], ["n", 4, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"n": 4}, "is_reverse": true}} | 12,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = o + 17; u = n + 13; q = k + 12; j = a + 16; a = l + 15; k = h + 15; p = j + 12; l = b + 3; g = n + 10; h = w + 8; n = 4; b = u + 18; o = g + 2. If n = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 16 to p, which gives p = a + 28.\n2. Substitute a = l + 15 to p, which gives p = l + 43.\n3. Substitute l = b + 3 to p, which gives p = b + 46.\n4. Substitute b = u + 18 to p, which gives p = u + 64.\n5. Substitute u = n + 13 to p, which gives p = n + 77.\n6. Substitute n = 4 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 12785,
"question": "Consider a system of variables where each variable is defined as follows: w = o + 17; u = n + 13; q = k + 12; j = a + 16; a = l + 15; k = h + 15; p = j + 12; l = b + 3; g = n + 10; h = w + 8; n = 4; b = u + 18; o = g + 2. If n = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "l + 18", "b": "d + 5", "n": "b + 8", "z": "n + 4", "i": "z + 4", "k": "i + 5", "a": "l + 6", "o": "a + 10", "e": "o + 6", "s": "e + 10", "f": "s + 20", "g": "f + 16", "l": 3}, "premises": {"l": 3}, "target": "k"}, "answer": {"steps": [["i", "z + 4", "z + 9"], ["z", "n + 4", "n + 13"], ["n", "b + 8", "b + 21"], ["b", "d + 5", "d + 26"], ["d", "l + 18", "l + 44"], ["l", 3, "47"]], "target_var_name": "k", "target_value": 47, "value_dict": {"l": 3}, "is_reverse": true}} | 12,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = n + 4; k = i + 5; l = 3; f = s + 20; i = z + 4; a = l + 6; g = f + 16; o = a + 10; n = b + 8; s = e + 10; b = d + 5; e = o + 6; d = l + 18. If l = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 4 to k, which gives k = z + 9.\n2. Substitute z = n + 4 to k, which gives k = n + 13.\n3. Substitute n = b + 8 to k, which gives k = b + 21.\n4. Substitute b = d + 5 to k, which gives k = d + 26.\n5. Substitute d = l + 18 to k, which gives k = l + 44.\n6. Substitute l = 3 to k, which gives k = 47.\n\nThus, the final answer is k = \\boxed{47}.",
"index": 12786,
"question": "Consider a system of variables where each variable is defined as follows: z = n + 4; k = i + 5; l = 3; f = s + 20; i = z + 4; a = l + 6; g = f + 16; o = a + 10; n = b + 8; s = e + 10; b = d + 5; e = o + 6; d = l + 18. If l = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 13", "o": "v + 16", "q": "o + 2", "p": "q + 5", "u": "p + 15", "g": "u + 12", "i": "e + 9", "c": "i + 16", "r": "c + 9", "x": "r + 18", "b": "x + 5", "y": "b + 9", "e": 4}, "premises": {"e": 4}, "target": "g"}, "answer": {"steps": [["u", "p + 15", "p + 27"], ["p", "q + 5", "q + 32"], ["q", "o + 2", "o + 34"], ["o", "v + 16", "v + 50"], ["v", "e + 13", "e + 63"], ["e", 4, "67"]], "target_var_name": "g", "target_value": 67, "value_dict": {"e": 4}, "is_reverse": true}} | 12,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 9; u = p + 15; x = r + 18; r = c + 9; o = v + 16; v = e + 13; e = 4; p = q + 5; q = o + 2; b = x + 5; g = u + 12; c = i + 16; i = e + 9. If e = 4, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = p + 15 to g, which gives g = p + 27.\n2. Substitute p = q + 5 to g, which gives g = q + 32.\n3. Substitute q = o + 2 to g, which gives g = o + 34.\n4. Substitute o = v + 16 to g, which gives g = v + 50.\n5. Substitute v = e + 13 to g, which gives g = e + 63.\n6. Substitute e = 4 to g, which gives g = 67.\n\nThus, the final answer is g = \\boxed{67}.",
"index": 12787,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = b + 9; u = p + 15; x = r + 18; r = c + 9; o = v + 16; v = e + 13; e = 4; p = q + 5; q = o + 2; b = x + 5; g = u + 12; c = i + 16; i = e + 9. If e = 4, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 4", "p": "x + 12", "w": "p + 19", "b": "w + 3", "f": "b + 6", "r": "f + 5", "i": "k + 15", "e": "i + 7", "g": "e + 4", "c": "g + 7", "d": "c + 17", "l": "d + 20", "k": 5}, "premises": {"k": 5}, "target": "r"}, "answer": {"steps": [["f", "b + 6", "b + 11"], ["b", "w + 3", "w + 14"], ["w", "p + 19", "p + 33"], ["p", "x + 12", "x + 45"], ["x", "k + 4", "k + 49"], ["k", 5, "54"]], "target_var_name": "r", "target_value": 54, "value_dict": {"k": 5}, "is_reverse": true}} | 12,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 15; e = i + 7; b = w + 3; k = 5; l = d + 20; f = b + 6; w = p + 19; c = g + 7; p = x + 12; d = c + 17; g = e + 4; x = k + 4; r = f + 5. If k = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 6 to r, which gives r = b + 11.\n2. Substitute b = w + 3 to r, which gives r = w + 14.\n3. Substitute w = p + 19 to r, which gives r = p + 33.\n4. Substitute p = x + 12 to r, which gives r = x + 45.\n5. Substitute x = k + 4 to r, which gives r = k + 49.\n6. Substitute k = 5 to r, which gives r = 54.\n\nThus, the final answer is r = \\boxed{54}.",
"index": 12788,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 15; e = i + 7; b = w + 3; k = 5; l = d + 20; f = b + 6; w = p + 19; c = g + 7; p = x + 12; d = c + 17; g = e + 4; x = k + 4; r = f + 5. If k = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 11", "n": "y + 3", "r": "n + 17", "v": "r + 7", "e": "v + 18", "x": "e + 12", "c": "l + 5", "j": "c + 11", "t": "j + 7", "z": "t + 19", "i": "z + 1", "a": "i + 11", "l": 7}, "premises": {"l": 7}, "target": "x"}, "answer": {"steps": [["e", "v + 18", "v + 30"], ["v", "r + 7", "r + 37"], ["r", "n + 17", "n + 54"], ["n", "y + 3", "y + 57"], ["y", "l + 11", "l + 68"], ["l", 7, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"l": 7}, "is_reverse": true}} | 12,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 5; v = r + 7; y = l + 11; i = z + 1; e = v + 18; t = j + 7; r = n + 17; z = t + 19; x = e + 12; j = c + 11; n = y + 3; a = i + 11; l = 7. Given that l = 7, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 18 to x, which gives x = v + 30.\n2. Substitute v = r + 7 to x, which gives x = r + 37.\n3. Substitute r = n + 17 to x, which gives x = n + 54.\n4. Substitute n = y + 3 to x, which gives x = y + 57.\n5. Substitute y = l + 11 to x, which gives x = l + 68.\n6. Substitute l = 7 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 12789,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 5; v = r + 7; y = l + 11; i = z + 1; e = v + 18; t = j + 7; r = n + 17; z = t + 19; x = e + 12; j = c + 11; n = y + 3; a = i + 11; l = 7. Given that l = 7, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 2", "w": "z + 10", "e": "w + 5", "o": "e + 19", "s": "o + 9", "g": "s + 2", "y": "t + 9", "l": "y + 12", "a": "l + 15", "h": "a + 5", "x": "h + 5", "b": "x + 1", "t": 8}, "premises": {"t": 8}, "target": "g"}, "answer": {"steps": [["s", "o + 9", "o + 11"], ["o", "e + 19", "e + 30"], ["e", "w + 5", "w + 35"], ["w", "z + 10", "z + 45"], ["z", "t + 2", "t + 47"], ["t", 8, "55"]], "target_var_name": "g", "target_value": 55, "value_dict": {"t": 8}, "is_reverse": true}} | 12,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 5; y = t + 9; t = 8; l = y + 12; h = a + 5; w = z + 10; g = s + 2; o = e + 19; b = x + 1; x = h + 5; a = l + 15; z = t + 2; s = o + 9. If t = 8, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 9 to g, which gives g = o + 11.\n2. Substitute o = e + 19 to g, which gives g = e + 30.\n3. Substitute e = w + 5 to g, which gives g = w + 35.\n4. Substitute w = z + 10 to g, which gives g = z + 45.\n5. Substitute z = t + 2 to g, which gives g = t + 47.\n6. Substitute t = 8 to g, which gives g = 55.\n\nThus, the final answer is g = \\boxed{55}.",
"index": 12790,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 5; y = t + 9; t = 8; l = y + 12; h = a + 5; w = z + 10; g = s + 2; o = e + 19; b = x + 1; x = h + 5; a = l + 15; z = t + 2; s = o + 9. If t = 8, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 20", "a": "s + 10", "k": "a + 20", "i": "k + 17", "p": "i + 7", "u": "p + 3", "v": "j + 19", "d": "v + 14", "y": "d + 5", "f": "y + 10", "o": "f + 2", "l": "o + 11", "j": 2}, "premises": {"j": 2}, "target": "u"}, "answer": {"steps": [["p", "i + 7", "i + 10"], ["i", "k + 17", "k + 27"], ["k", "a + 20", "a + 47"], ["a", "s + 10", "s + 57"], ["s", "j + 20", "j + 77"], ["j", 2, "79"]], "target_var_name": "u", "target_value": 79, "value_dict": {"j": 2}, "is_reverse": true}} | 12,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 2; o = f + 2; f = y + 10; s = j + 20; u = p + 3; l = o + 11; y = d + 5; d = v + 14; a = s + 10; p = i + 7; i = k + 17; k = a + 20; v = j + 19. If j = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 7 to u, which gives u = i + 10.\n2. Substitute i = k + 17 to u, which gives u = k + 27.\n3. Substitute k = a + 20 to u, which gives u = a + 47.\n4. Substitute a = s + 10 to u, which gives u = s + 57.\n5. Substitute s = j + 20 to u, which gives u = j + 77.\n6. Substitute j = 2 to u, which gives u = 79.\n\nThus, the final answer is u = \\boxed{79}.",
"index": 12791,
"question": "Consider a system of variables where each variable is defined as follows: j = 2; o = f + 2; f = y + 10; s = j + 20; u = p + 3; l = o + 11; y = d + 5; d = v + 14; a = s + 10; p = i + 7; i = k + 17; k = a + 20; v = j + 19. If j = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 10", "e": "y + 4", "h": "e + 18", "o": "h + 1", "d": "o + 12", "n": "d + 9", "s": "f + 18", "x": "s + 3", "p": "x + 5", "i": "p + 7", "j": "i + 7", "l": "j + 17", "f": 18}, "premises": {"f": 18}, "target": "n"}, "answer": {"steps": [["d", "o + 12", "o + 21"], ["o", "h + 1", "h + 22"], ["h", "e + 18", "e + 40"], ["e", "y + 4", "y + 44"], ["y", "f + 10", "f + 54"], ["f", 18, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"f": 18}, "is_reverse": true}} | 12,792 | 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 = p + 7; h = e + 18; o = h + 1; f = 18; n = d + 9; x = s + 3; p = x + 5; s = f + 18; d = o + 12; e = y + 4; y = f + 10; l = j + 17; j = i + 7. If f = 18, 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 d = o + 12 to n, which gives n = o + 21.\n2. Substitute o = h + 1 to n, which gives n = h + 22.\n3. Substitute h = e + 18 to n, which gives n = e + 40.\n4. Substitute e = y + 4 to n, which gives n = y + 44.\n5. Substitute y = f + 10 to n, which gives n = f + 54.\n6. Substitute f = 18 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 12792,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = p + 7; h = e + 18; o = h + 1; f = 18; n = d + 9; x = s + 3; p = x + 5; s = f + 18; d = o + 12; e = y + 4; y = f + 10; l = j + 17; j = i + 7. If f = 18, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 4", "p": "l + 5", "u": "p + 11", "t": "u + 2", "a": "t + 13", "k": "a + 15", "e": "m + 4", "g": "e + 2", "i": "g + 9", "y": "i + 3", "q": "y + 14", "d": "q + 15", "m": 15}, "premises": {"m": 15}, "target": "k"}, "answer": {"steps": [["a", "t + 13", "t + 28"], ["t", "u + 2", "u + 30"], ["u", "p + 11", "p + 41"], ["p", "l + 5", "l + 46"], ["l", "m + 4", "m + 50"], ["m", 15, "65"]], "target_var_name": "k", "target_value": 65, "value_dict": {"m": 15}, "is_reverse": true}} | 12,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 14; d = q + 15; g = e + 2; k = a + 15; p = l + 5; e = m + 4; m = 15; i = g + 9; a = t + 13; u = p + 11; t = u + 2; y = i + 3; l = m + 4. If m = 15, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = t + 13 to k, which gives k = t + 28.\n2. Substitute t = u + 2 to k, which gives k = u + 30.\n3. Substitute u = p + 11 to k, which gives k = p + 41.\n4. Substitute p = l + 5 to k, which gives k = l + 46.\n5. Substitute l = m + 4 to k, which gives k = m + 50.\n6. Substitute m = 15 to k, which gives k = 65.\n\nThus, the final answer is k = \\boxed{65}.",
"index": 12793,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 14; d = q + 15; g = e + 2; k = a + 15; p = l + 5; e = m + 4; m = 15; i = g + 9; a = t + 13; u = p + 11; t = u + 2; y = i + 3; l = m + 4. If m = 15, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "h + 4", "o": "c + 19", "i": "o + 20", "t": "i + 6", "p": "t + 15", "m": "p + 16", "f": "h + 3", "x": "f + 7", "v": "x + 20", "w": "v + 7", "z": "w + 14", "l": "z + 18", "h": 9}, "premises": {"h": 9}, "target": "m"}, "answer": {"steps": [["p", "t + 15", "t + 31"], ["t", "i + 6", "i + 37"], ["i", "o + 20", "o + 57"], ["o", "c + 19", "c + 76"], ["c", "h + 4", "h + 80"], ["h", 9, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"h": 9}, "is_reverse": true}} | 12,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = f + 7; t = i + 6; i = o + 20; v = x + 20; z = w + 14; m = p + 16; o = c + 19; h = 9; w = v + 7; l = z + 18; f = h + 3; p = t + 15; c = h + 4. If h = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = t + 15 to m, which gives m = t + 31.\n2. Substitute t = i + 6 to m, which gives m = i + 37.\n3. Substitute i = o + 20 to m, which gives m = o + 57.\n4. Substitute o = c + 19 to m, which gives m = c + 76.\n5. Substitute c = h + 4 to m, which gives m = h + 80.\n6. Substitute h = 9 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 12794,
"question": "Consider a system of variables where each variable is defined as follows: x = f + 7; t = i + 6; i = o + 20; v = x + 20; z = w + 14; m = p + 16; o = c + 19; h = 9; w = v + 7; l = z + 18; f = h + 3; p = t + 15; c = h + 4. If h = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 1", "d": "f + 17", "u": "d + 2", "w": "u + 12", "g": "w + 9", "q": "g + 1", "m": "h + 10", "t": "m + 18", "r": "t + 8", "y": "r + 7", "a": "y + 17", "s": "a + 10", "h": 9}, "premises": {"h": 9}, "target": "q"}, "answer": {"steps": [["g", "w + 9", "w + 10"], ["w", "u + 12", "u + 22"], ["u", "d + 2", "d + 24"], ["d", "f + 17", "f + 41"], ["f", "h + 1", "h + 42"], ["h", 9, "51"]], "target_var_name": "q", "target_value": 51, "value_dict": {"h": 9}, "is_reverse": true}} | 12,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = u + 12; h = 9; d = f + 17; m = h + 10; g = w + 9; a = y + 17; r = t + 8; u = d + 2; t = m + 18; y = r + 7; f = h + 1; s = a + 10; q = g + 1. If h = 9, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 9 to q, which gives q = w + 10.\n2. Substitute w = u + 12 to q, which gives q = u + 22.\n3. Substitute u = d + 2 to q, which gives q = d + 24.\n4. Substitute d = f + 17 to q, which gives q = f + 41.\n5. Substitute f = h + 1 to q, which gives q = h + 42.\n6. Substitute h = 9 to q, which gives q = 51.\n\nThus, the final answer is q = \\boxed{51}.",
"index": 12795,
"question": "Consider a system of variables where each variable is defined as follows: w = u + 12; h = 9; d = f + 17; m = h + 10; g = w + 9; a = y + 17; r = t + 8; u = d + 2; t = m + 18; y = r + 7; f = h + 1; s = a + 10; q = g + 1. If h = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 16", "j": "t + 16", "a": "j + 10", "o": "a + 9", "s": "o + 4", "g": "s + 7", "f": "m + 14", "d": "f + 8", "k": "d + 12", "l": "k + 19", "r": "l + 8", "q": "r + 20", "m": 8}, "premises": {"m": 8}, "target": "g"}, "answer": {"steps": [["s", "o + 4", "o + 11"], ["o", "a + 9", "a + 20"], ["a", "j + 10", "j + 30"], ["j", "t + 16", "t + 46"], ["t", "m + 16", "m + 62"], ["m", 8, "70"]], "target_var_name": "g", "target_value": 70, "value_dict": {"m": 8}, "is_reverse": true}} | 12,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 8; r = l + 8; d = f + 8; l = k + 19; k = d + 12; g = s + 7; o = a + 9; f = m + 14; s = o + 4; j = t + 16; t = m + 16; q = r + 20; a = j + 10. If m = 8, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 4 to g, which gives g = o + 11.\n2. Substitute o = a + 9 to g, which gives g = a + 20.\n3. Substitute a = j + 10 to g, which gives g = j + 30.\n4. Substitute j = t + 16 to g, which gives g = t + 46.\n5. Substitute t = m + 16 to g, which gives g = m + 62.\n6. Substitute m = 8 to g, which gives g = 70.\n\nThus, the final answer is g = \\boxed{70}.",
"index": 12796,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 8; r = l + 8; d = f + 8; l = k + 19; k = d + 12; g = s + 7; o = a + 9; f = m + 14; s = o + 4; j = t + 16; t = m + 16; q = r + 20; a = j + 10. If m = 8, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 17", "b": "k + 7", "n": "b + 20", "x": "n + 2", "e": "x + 5", "m": "e + 17", "h": "l + 12", "g": "h + 14", "j": "g + 12", "s": "j + 2", "p": "s + 6", "d": "p + 5", "l": 11}, "premises": {"l": 11}, "target": "m"}, "answer": {"steps": [["e", "x + 5", "x + 22"], ["x", "n + 2", "n + 24"], ["n", "b + 20", "b + 44"], ["b", "k + 7", "k + 51"], ["k", "l + 17", "l + 68"], ["l", 11, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"l": 11}, "is_reverse": true}} | 12,797 | 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 = h + 14; b = k + 7; n = b + 20; h = l + 12; k = l + 17; e = x + 5; s = j + 2; x = n + 2; d = p + 5; l = 11; p = s + 6; m = e + 17; j = g + 12. If l = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = x + 5 to m, which gives m = x + 22.\n2. Substitute x = n + 2 to m, which gives m = n + 24.\n3. Substitute n = b + 20 to m, which gives m = b + 44.\n4. Substitute b = k + 7 to m, which gives m = k + 51.\n5. Substitute k = l + 17 to m, which gives m = l + 68.\n6. Substitute l = 11 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 12797,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 14; b = k + 7; n = b + 20; h = l + 12; k = l + 17; e = x + 5; s = j + 2; x = n + 2; d = p + 5; l = 11; p = s + 6; m = e + 17; j = g + 12. If l = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 7", "r": "u + 18", "y": "r + 7", "f": "y + 1", "n": "f + 13", "q": "n + 5", "z": "t + 20", "i": "z + 11", "v": "i + 2", "l": "v + 12", "m": "l + 13", "h": "m + 2", "t": 14}, "premises": {"t": 14}, "target": "q"}, "answer": {"steps": [["n", "f + 13", "f + 18"], ["f", "y + 1", "y + 19"], ["y", "r + 7", "r + 26"], ["r", "u + 18", "u + 44"], ["u", "t + 7", "t + 51"], ["t", 14, "65"]], "target_var_name": "q", "target_value": 65, "value_dict": {"t": 14}, "is_reverse": true}} | 12,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = l + 13; i = z + 11; n = f + 13; z = t + 20; t = 14; y = r + 7; l = v + 12; u = t + 7; r = u + 18; f = y + 1; h = m + 2; v = i + 2; q = n + 5. If t = 14, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 13 to q, which gives q = f + 18.\n2. Substitute f = y + 1 to q, which gives q = y + 19.\n3. Substitute y = r + 7 to q, which gives q = r + 26.\n4. Substitute r = u + 18 to q, which gives q = u + 44.\n5. Substitute u = t + 7 to q, which gives q = t + 51.\n6. Substitute t = 14 to q, which gives q = 65.\n\nThus, the final answer is q = \\boxed{65}.",
"index": 12798,
"question": "Consider a system of variables where each variable is defined as follows: m = l + 13; i = z + 11; n = f + 13; z = t + 20; t = 14; y = r + 7; l = v + 12; u = t + 7; r = u + 18; f = y + 1; h = m + 2; v = i + 2; q = n + 5. If t = 14, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 6", "q": "e + 4", "o": "q + 4", "i": "o + 15", "d": "i + 7", "l": "d + 20", "v": "b + 20", "n": "v + 13", "j": "n + 2", "y": "j + 14", "k": "y + 14", "t": "k + 11", "b": 5}, "premises": {"b": 5}, "target": "l"}, "answer": {"steps": [["d", "i + 7", "i + 27"], ["i", "o + 15", "o + 42"], ["o", "q + 4", "q + 46"], ["q", "e + 4", "e + 50"], ["e", "b + 6", "b + 56"], ["b", 5, "61"]], "target_var_name": "l", "target_value": 61, "value_dict": {"b": 5}, "is_reverse": true}} | 12,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = v + 13; q = e + 4; k = y + 14; d = i + 7; t = k + 11; i = o + 15; o = q + 4; l = d + 20; y = j + 14; b = 5; v = b + 20; e = b + 6; j = n + 2. Given that b = 5, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 7 to l, which gives l = i + 27.\n2. Substitute i = o + 15 to l, which gives l = o + 42.\n3. Substitute o = q + 4 to l, which gives l = q + 46.\n4. Substitute q = e + 4 to l, which gives l = e + 50.\n5. Substitute e = b + 6 to l, which gives l = b + 56.\n6. Substitute b = 5 to l, which gives l = 61.\n\nThus, the final answer is l = \\boxed{61}.",
"index": 12799,
"question": "Suppose a collection of variables is related by the following definitions: n = v + 13; q = e + 4; k = y + 14; d = i + 7; t = k + 11; i = o + 15; o = q + 4; l = d + 20; y = j + 14; b = 5; v = b + 20; e = b + 6; j = n + 2. Given that b = 5, find the value of l.",
"split": "train"
} |
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