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": {"l": "n + 15", "d": "l + 6", "g": "d + 20", "p": "g + 15", "o": "p + 16", "f": "o + 8", "m": "n + 7", "e": "m + 1", "k": "e + 11", "w": "k + 6", "h": "w + 14", "t": "h + 2", "n": 12}, "premises": {"n": 12}, "target": "f"}, "answer": {"steps": [["o", "p + 16", "p + 24"], ["p", "g + 15", "g + 39"], ["g", "d + 20", "d + 59"], ["d", "l + 6", "l + 65"], ["l", "n + 15", "n + 80"], ["n", 12, "92"]], "target_var_name": "f", "target_value": 92, "value_dict": {"n": 12}, "is_reverse": true}} | 12,300 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 7; e = m + 1; g = d + 20; h = w + 14; d = l + 6; k = e + 11; w = k + 6; p = g + 15; l = n + 15; t = h + 2; o = p + 16; f = o + 8; n = 12. If n = 12, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 16 to f, which gives f = p + 24.\n2. Substitute p = g + 15 to f, which gives f = g + 39.\n3. Substitute g = d + 20 to f, which gives f = d + 59.\n4. Substitute d = l + 6 to f, which gives f = l + 65.\n5. Substitute l = n + 15 to f, which gives f = n + 80.\n6. Substitute n = 12 to f, which gives f = 92.\n\nThus, the final answer is f = \\boxed{92}.",
"index": 12300,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 7; e = m + 1; g = d + 20; h = w + 14; d = l + 6; k = e + 11; w = k + 6; p = g + 15; l = n + 15; t = h + 2; o = p + 16; f = o + 8; n = 12. If n = 12, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 8", "d": "a + 12", "l": "d + 7", "s": "l + 15", "m": "s + 5", "r": "m + 12", "i": "z + 14", "j": "i + 11", "t": "j + 1", "q": "t + 9", "b": "q + 1", "g": "b + 7", "z": 4}, "premises": {"z": 4}, "target": "r"}, "answer": {"steps": [["m", "s + 5", "s + 17"], ["s", "l + 15", "l + 32"], ["l", "d + 7", "d + 39"], ["d", "a + 12", "a + 51"], ["a", "z + 8", "z + 59"], ["z", 4, "63"]], "target_var_name": "r", "target_value": 63, "value_dict": {"z": 4}, "is_reverse": true}} | 12,301 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 15; j = i + 11; r = m + 12; i = z + 14; d = a + 12; g = b + 7; a = z + 8; m = s + 5; l = d + 7; b = q + 1; t = j + 1; z = 4; q = t + 9. If z = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = s + 5 to r, which gives r = s + 17.\n2. Substitute s = l + 15 to r, which gives r = l + 32.\n3. Substitute l = d + 7 to r, which gives r = d + 39.\n4. Substitute d = a + 12 to r, which gives r = a + 51.\n5. Substitute a = z + 8 to r, which gives r = z + 59.\n6. Substitute z = 4 to r, which gives r = 63.\n\nThus, the final answer is r = \\boxed{63}.",
"index": 12301,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 15; j = i + 11; r = m + 12; i = z + 14; d = a + 12; g = b + 7; a = z + 8; m = s + 5; l = d + 7; b = q + 1; t = j + 1; z = 4; q = t + 9. If z = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 5", "e": "i + 14", "u": "e + 8", "g": "u + 3", "k": "g + 3", "y": "k + 13", "d": "q + 19", "x": "d + 1", "b": "x + 9", "f": "b + 20", "o": "f + 11", "c": "o + 3", "q": 8}, "premises": {"q": 8}, "target": "y"}, "answer": {"steps": [["k", "g + 3", "g + 16"], ["g", "u + 3", "u + 19"], ["u", "e + 8", "e + 27"], ["e", "i + 14", "i + 41"], ["i", "q + 5", "q + 46"], ["q", 8, "54"]], "target_var_name": "y", "target_value": 54, "value_dict": {"q": 8}, "is_reverse": true}} | 12,302 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = b + 20; c = o + 3; q = 8; i = q + 5; x = d + 1; u = e + 8; b = x + 9; o = f + 11; g = u + 3; d = q + 19; e = i + 14; y = k + 13; k = g + 3. Given that q = 8, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 3 to y, which gives y = g + 16.\n2. Substitute g = u + 3 to y, which gives y = u + 19.\n3. Substitute u = e + 8 to y, which gives y = e + 27.\n4. Substitute e = i + 14 to y, which gives y = i + 41.\n5. Substitute i = q + 5 to y, which gives y = q + 46.\n6. Substitute q = 8 to y, which gives y = 54.\n\nThus, the final answer is y = \\boxed{54}.",
"index": 12302,
"question": "Suppose a collection of variables is related by the following definitions: f = b + 20; c = o + 3; q = 8; i = q + 5; x = d + 1; u = e + 8; b = x + 9; o = f + 11; g = u + 3; d = q + 19; e = i + 14; y = k + 13; k = g + 3. Given that q = 8, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"k": "p + 11", "q": "k + 16", "i": "q + 9", "r": "i + 4", "u": "r + 18", "v": "u + 9", "m": "p + 19", "l": "m + 4", "x": "l + 17", "b": "x + 5", "d": "b + 9", "w": "d + 16", "p": 4}, "premises": {"p": 4}, "target": "v"}, "answer": {"steps": [["u", "r + 18", "r + 27"], ["r", "i + 4", "i + 31"], ["i", "q + 9", "q + 40"], ["q", "k + 16", "k + 56"], ["k", "p + 11", "p + 67"], ["p", 4, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"p": 4}, "is_reverse": true}} | 12,303 | 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 = u + 9; k = p + 11; l = m + 4; i = q + 9; x = l + 17; m = p + 19; r = i + 4; w = d + 16; b = x + 5; u = r + 18; d = b + 9; p = 4; q = k + 16. If p = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 18 to v, which gives v = r + 27.\n2. Substitute r = i + 4 to v, which gives v = i + 31.\n3. Substitute i = q + 9 to v, which gives v = q + 40.\n4. Substitute q = k + 16 to v, which gives v = k + 56.\n5. Substitute k = p + 11 to v, which gives v = p + 67.\n6. Substitute p = 4 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 12303,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = u + 9; k = p + 11; l = m + 4; i = q + 9; x = l + 17; m = p + 19; r = i + 4; w = d + 16; b = x + 5; u = r + 18; d = b + 9; p = 4; q = k + 16. If p = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 8", "r": "n + 2", "t": "r + 13", "q": "t + 5", "s": "q + 14", "x": "s + 3", "i": "h + 18", "d": "i + 17", "o": "d + 15", "e": "o + 8", "c": "e + 5", "g": "c + 11", "h": 4}, "premises": {"h": 4}, "target": "x"}, "answer": {"steps": [["s", "q + 14", "q + 17"], ["q", "t + 5", "t + 22"], ["t", "r + 13", "r + 35"], ["r", "n + 2", "n + 37"], ["n", "h + 8", "h + 45"], ["h", 4, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"h": 4}, "is_reverse": true}} | 12,304 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = d + 15; d = i + 17; c = e + 5; n = h + 8; h = 4; q = t + 5; t = r + 13; x = s + 3; e = o + 8; r = n + 2; i = h + 18; g = c + 11; s = q + 14. If h = 4, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 14 to x, which gives x = q + 17.\n2. Substitute q = t + 5 to x, which gives x = t + 22.\n3. Substitute t = r + 13 to x, which gives x = r + 35.\n4. Substitute r = n + 2 to x, which gives x = n + 37.\n5. Substitute n = h + 8 to x, which gives x = h + 45.\n6. Substitute h = 4 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 12304,
"question": "Consider a system of variables where each variable is defined as follows: o = d + 15; d = i + 17; c = e + 5; n = h + 8; h = 4; q = t + 5; t = r + 13; x = s + 3; e = o + 8; r = n + 2; i = h + 18; g = c + 11; s = q + 14. If h = 4, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 15", "t": "o + 20", "e": "t + 19", "u": "e + 16", "z": "u + 8", "x": "z + 11", "r": "c + 15", "f": "r + 2", "l": "f + 17", "k": "l + 2", "y": "k + 16", "a": "y + 14", "c": 20}, "premises": {"c": 20}, "target": "x"}, "answer": {"steps": [["z", "u + 8", "u + 19"], ["u", "e + 16", "e + 35"], ["e", "t + 19", "t + 54"], ["t", "o + 20", "o + 74"], ["o", "c + 15", "c + 89"], ["c", 20, "109"]], "target_var_name": "x", "target_value": 109, "value_dict": {"c": 20}, "is_reverse": true}} | 12,305 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 15; x = z + 11; e = t + 19; u = e + 16; c = 20; z = u + 8; t = o + 20; a = y + 14; r = c + 15; l = f + 17; k = l + 2; y = k + 16; f = r + 2. Given that c = 20, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 109,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 8 to x, which gives x = u + 19.\n2. Substitute u = e + 16 to x, which gives x = e + 35.\n3. Substitute e = t + 19 to x, which gives x = t + 54.\n4. Substitute t = o + 20 to x, which gives x = o + 74.\n5. Substitute o = c + 15 to x, which gives x = c + 89.\n6. Substitute c = 20 to x, which gives x = 109.\n\nThus, the final answer is x = \\boxed{109}.",
"index": 12305,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 15; x = z + 11; e = t + 19; u = e + 16; c = 20; z = u + 8; t = o + 20; a = y + 14; r = c + 15; l = f + 17; k = l + 2; y = k + 16; f = r + 2. Given that c = 20, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"y": "v + 12", "w": "y + 9", "e": "w + 12", "s": "e + 12", "b": "s + 16", "c": "b + 10", "k": "v + 6", "g": "k + 18", "d": "g + 1", "p": "d + 6", "o": "p + 15", "u": "o + 6", "v": 14}, "premises": {"v": 14}, "target": "c"}, "answer": {"steps": [["b", "s + 16", "s + 26"], ["s", "e + 12", "e + 38"], ["e", "w + 12", "w + 50"], ["w", "y + 9", "y + 59"], ["y", "v + 12", "v + 71"], ["v", 14, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"v": 14}, "is_reverse": true}} | 12,306 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 6; e = w + 12; d = g + 1; k = v + 6; s = e + 12; o = p + 15; y = v + 12; u = o + 6; b = s + 16; c = b + 10; w = y + 9; v = 14; g = k + 18. If v = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = s + 16 to c, which gives c = s + 26.\n2. Substitute s = e + 12 to c, which gives c = e + 38.\n3. Substitute e = w + 12 to c, which gives c = w + 50.\n4. Substitute w = y + 9 to c, which gives c = y + 59.\n5. Substitute y = v + 12 to c, which gives c = v + 71.\n6. Substitute v = 14 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 12306,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 6; e = w + 12; d = g + 1; k = v + 6; s = e + 12; o = p + 15; y = v + 12; u = o + 6; b = s + 16; c = b + 10; w = y + 9; v = 14; g = k + 18. If v = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"k": "e + 13", "p": "k + 6", "c": "p + 19", "z": "c + 3", "q": "z + 7", "b": "q + 8", "d": "e + 20", "g": "d + 20", "i": "g + 20", "r": "i + 17", "x": "r + 3", "f": "x + 4", "e": 5}, "premises": {"e": 5}, "target": "b"}, "answer": {"steps": [["q", "z + 7", "z + 15"], ["z", "c + 3", "c + 18"], ["c", "p + 19", "p + 37"], ["p", "k + 6", "k + 43"], ["k", "e + 13", "e + 56"], ["e", 5, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"e": 5}, "is_reverse": true}} | 12,307 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 3; g = d + 20; z = c + 3; d = e + 20; k = e + 13; c = p + 19; r = i + 17; b = q + 8; p = k + 6; i = g + 20; e = 5; q = z + 7; f = x + 4. If e = 5, what is the resulting 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 q = z + 7 to b, which gives b = z + 15.\n2. Substitute z = c + 3 to b, which gives b = c + 18.\n3. Substitute c = p + 19 to b, which gives b = p + 37.\n4. Substitute p = k + 6 to b, which gives b = k + 43.\n5. Substitute k = e + 13 to b, which gives b = e + 56.\n6. Substitute e = 5 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 12307,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = r + 3; g = d + 20; z = c + 3; d = e + 20; k = e + 13; c = p + 19; r = i + 17; b = q + 8; p = k + 6; i = g + 20; e = 5; q = z + 7; f = x + 4. If e = 5, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"y": "l + 17", "i": "y + 14", "x": "i + 20", "z": "x + 19", "t": "z + 6", "u": "t + 10", "q": "l + 19", "r": "q + 6", "c": "r + 11", "a": "c + 7", "f": "a + 8", "o": "f + 20", "l": 6}, "premises": {"l": 6}, "target": "u"}, "answer": {"steps": [["t", "z + 6", "z + 16"], ["z", "x + 19", "x + 35"], ["x", "i + 20", "i + 55"], ["i", "y + 14", "y + 69"], ["y", "l + 17", "l + 86"], ["l", 6, "92"]], "target_var_name": "u", "target_value": 92, "value_dict": {"l": 6}, "is_reverse": true}} | 12,308 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = f + 20; x = i + 20; z = x + 19; y = l + 17; c = r + 11; a = c + 7; r = q + 6; u = t + 10; f = a + 8; l = 6; q = l + 19; i = y + 14; t = z + 6. If l = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 6 to u, which gives u = z + 16.\n2. Substitute z = x + 19 to u, which gives u = x + 35.\n3. Substitute x = i + 20 to u, which gives u = i + 55.\n4. Substitute i = y + 14 to u, which gives u = y + 69.\n5. Substitute y = l + 17 to u, which gives u = l + 86.\n6. Substitute l = 6 to u, which gives u = 92.\n\nThus, the final answer is u = \\boxed{92}.",
"index": 12308,
"question": "Consider a system of variables where each variable is defined as follows: o = f + 20; x = i + 20; z = x + 19; y = l + 17; c = r + 11; a = c + 7; r = q + 6; u = t + 10; f = a + 8; l = 6; q = l + 19; i = y + 14; t = z + 6. If l = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 6", "q": "i + 8", "c": "q + 20", "s": "c + 7", "h": "s + 20", "d": "h + 13", "t": "j + 19", "z": "t + 19", "r": "z + 20", "b": "r + 5", "n": "b + 1", "v": "n + 2", "j": 8}, "premises": {"j": 8}, "target": "d"}, "answer": {"steps": [["h", "s + 20", "s + 33"], ["s", "c + 7", "c + 40"], ["c", "q + 20", "q + 60"], ["q", "i + 8", "i + 68"], ["i", "j + 6", "j + 74"], ["j", 8, "82"]], "target_var_name": "d", "target_value": 82, "value_dict": {"j": 8}, "is_reverse": true}} | 12,309 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = j + 6; z = t + 19; b = r + 5; d = h + 13; j = 8; s = c + 7; n = b + 1; c = q + 20; r = z + 20; h = s + 20; q = i + 8; v = n + 2; t = j + 19. Given that j = 8, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = s + 20 to d, which gives d = s + 33.\n2. Substitute s = c + 7 to d, which gives d = c + 40.\n3. Substitute c = q + 20 to d, which gives d = q + 60.\n4. Substitute q = i + 8 to d, which gives d = i + 68.\n5. Substitute i = j + 6 to d, which gives d = j + 74.\n6. Substitute j = 8 to d, which gives d = 82.\n\nThus, the final answer is d = \\boxed{82}.",
"index": 12309,
"question": "Suppose a collection of variables is related by the following definitions: i = j + 6; z = t + 19; b = r + 5; d = h + 13; j = 8; s = c + 7; n = b + 1; c = q + 20; r = z + 20; h = s + 20; q = i + 8; v = n + 2; t = j + 19. Given that j = 8, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "s + 4", "h": "g + 10", "r": "h + 15", "a": "r + 16", "o": "a + 4", "p": "o + 3", "f": "s + 10", "z": "f + 15", "m": "z + 12", "j": "m + 15", "q": "j + 12", "e": "q + 14", "s": 19}, "premises": {"s": 19}, "target": "p"}, "answer": {"steps": [["o", "a + 4", "a + 7"], ["a", "r + 16", "r + 23"], ["r", "h + 15", "h + 38"], ["h", "g + 10", "g + 48"], ["g", "s + 4", "s + 52"], ["s", 19, "71"]], "target_var_name": "p", "target_value": 71, "value_dict": {"s": 19}, "is_reverse": true}} | 12,310 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 15; m = z + 12; o = a + 4; f = s + 10; z = f + 15; h = g + 10; s = 19; p = o + 3; e = q + 14; g = s + 4; a = r + 16; q = j + 12; j = m + 15. If s = 19, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 4 to p, which gives p = a + 7.\n2. Substitute a = r + 16 to p, which gives p = r + 23.\n3. Substitute r = h + 15 to p, which gives p = h + 38.\n4. Substitute h = g + 10 to p, which gives p = g + 48.\n5. Substitute g = s + 4 to p, which gives p = s + 52.\n6. Substitute s = 19 to p, which gives p = 71.\n\nThus, the final answer is p = \\boxed{71}.",
"index": 12310,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 15; m = z + 12; o = a + 4; f = s + 10; z = f + 15; h = g + 10; s = 19; p = o + 3; e = q + 14; g = s + 4; a = r + 16; q = j + 12; j = m + 15. If s = 19, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 1", "t": "v + 2", "p": "t + 11", "a": "p + 10", "g": "a + 3", "r": "g + 20", "j": "m + 20", "u": "j + 16", "y": "u + 9", "e": "y + 15", "s": "e + 7", "n": "s + 1", "m": 18}, "premises": {"m": 18}, "target": "r"}, "answer": {"steps": [["g", "a + 3", "a + 23"], ["a", "p + 10", "p + 33"], ["p", "t + 11", "t + 44"], ["t", "v + 2", "v + 46"], ["v", "m + 1", "m + 47"], ["m", 18, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"m": 18}, "is_reverse": true}} | 12,311 | 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 = m + 1; j = m + 20; u = j + 16; a = p + 10; y = u + 9; g = a + 3; r = g + 20; m = 18; e = y + 15; s = e + 7; n = s + 1; t = v + 2; p = t + 11. If m = 18, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 3 to r, which gives r = a + 23.\n2. Substitute a = p + 10 to r, which gives r = p + 33.\n3. Substitute p = t + 11 to r, which gives r = t + 44.\n4. Substitute t = v + 2 to r, which gives r = v + 46.\n5. Substitute v = m + 1 to r, which gives r = m + 47.\n6. Substitute m = 18 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 12311,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = m + 1; j = m + 20; u = j + 16; a = p + 10; y = u + 9; g = a + 3; r = g + 20; m = 18; e = y + 15; s = e + 7; n = s + 1; t = v + 2; p = t + 11. If m = 18, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 20", "o": "i + 4", "m": "o + 11", "q": "m + 4", "d": "q + 8", "p": "d + 2", "v": "l + 2", "t": "v + 16", "g": "t + 12", "c": "g + 9", "j": "c + 14", "n": "j + 13", "l": 10}, "premises": {"l": 10}, "target": "p"}, "answer": {"steps": [["d", "q + 8", "q + 10"], ["q", "m + 4", "m + 14"], ["m", "o + 11", "o + 25"], ["o", "i + 4", "i + 29"], ["i", "l + 20", "l + 49"], ["l", 10, "59"]], "target_var_name": "p", "target_value": 59, "value_dict": {"l": 10}, "is_reverse": true}} | 12,312 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = c + 14; n = j + 13; t = v + 16; p = d + 2; q = m + 4; v = l + 2; l = 10; d = q + 8; c = g + 9; m = o + 11; i = l + 20; g = t + 12; o = i + 4. Given that l = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 8 to p, which gives p = q + 10.\n2. Substitute q = m + 4 to p, which gives p = m + 14.\n3. Substitute m = o + 11 to p, which gives p = o + 25.\n4. Substitute o = i + 4 to p, which gives p = i + 29.\n5. Substitute i = l + 20 to p, which gives p = l + 49.\n6. Substitute l = 10 to p, which gives p = 59.\n\nThus, the final answer is p = \\boxed{59}.",
"index": 12312,
"question": "Suppose a collection of variables is related by the following definitions: j = c + 14; n = j + 13; t = v + 16; p = d + 2; q = m + 4; v = l + 2; l = 10; d = q + 8; c = g + 9; m = o + 11; i = l + 20; g = t + 12; o = i + 4. Given that l = 10, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 12", "k": "x + 3", "q": "k + 9", "m": "q + 18", "s": "m + 5", "f": "s + 3", "g": "t + 3", "b": "g + 12", "e": "b + 10", "n": "e + 17", "o": "n + 16", "j": "o + 6", "t": 16}, "premises": {"t": 16}, "target": "f"}, "answer": {"steps": [["s", "m + 5", "m + 8"], ["m", "q + 18", "q + 26"], ["q", "k + 9", "k + 35"], ["k", "x + 3", "x + 38"], ["x", "t + 12", "t + 50"], ["t", 16, "66"]], "target_var_name": "f", "target_value": 66, "value_dict": {"t": 16}, "is_reverse": true}} | 12,313 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = o + 6; b = g + 12; f = s + 3; e = b + 10; o = n + 16; n = e + 17; t = 16; x = t + 12; m = q + 18; g = t + 3; k = x + 3; s = m + 5; q = k + 9. Given that t = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 5 to f, which gives f = m + 8.\n2. Substitute m = q + 18 to f, which gives f = q + 26.\n3. Substitute q = k + 9 to f, which gives f = k + 35.\n4. Substitute k = x + 3 to f, which gives f = x + 38.\n5. Substitute x = t + 12 to f, which gives f = t + 50.\n6. Substitute t = 16 to f, which gives f = 66.\n\nThus, the final answer is f = \\boxed{66}.",
"index": 12313,
"question": "Suppose a collection of variables is related by the following definitions: j = o + 6; b = g + 12; f = s + 3; e = b + 10; o = n + 16; n = e + 17; t = 16; x = t + 12; m = q + 18; g = t + 3; k = x + 3; s = m + 5; q = k + 9. Given that t = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 13", "v": "n + 9", "c": "v + 12", "l": "c + 10", "b": "l + 12", "i": "b + 10", "f": "g + 15", "j": "f + 7", "e": "j + 2", "y": "e + 19", "o": "y + 20", "u": "o + 8", "g": 13}, "premises": {"g": 13}, "target": "i"}, "answer": {"steps": [["b", "l + 12", "l + 22"], ["l", "c + 10", "c + 32"], ["c", "v + 12", "v + 44"], ["v", "n + 9", "n + 53"], ["n", "g + 13", "g + 66"], ["g", 13, "79"]], "target_var_name": "i", "target_value": 79, "value_dict": {"g": 13}, "is_reverse": true}} | 12,314 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = 13; i = b + 10; o = y + 20; j = f + 7; f = g + 15; l = c + 10; u = o + 8; v = n + 9; y = e + 19; b = l + 12; c = v + 12; n = g + 13; e = j + 2. Given that g = 13, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = l + 12 to i, which gives i = l + 22.\n2. Substitute l = c + 10 to i, which gives i = c + 32.\n3. Substitute c = v + 12 to i, which gives i = v + 44.\n4. Substitute v = n + 9 to i, which gives i = n + 53.\n5. Substitute n = g + 13 to i, which gives i = g + 66.\n6. Substitute g = 13 to i, which gives i = 79.\n\nThus, the final answer is i = \\boxed{79}.",
"index": 12314,
"question": "Suppose a collection of variables is related by the following definitions: g = 13; i = b + 10; o = y + 20; j = f + 7; f = g + 15; l = c + 10; u = o + 8; v = n + 9; y = e + 19; b = l + 12; c = v + 12; n = g + 13; e = j + 2. Given that g = 13, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"z": "v + 5", "m": "z + 7", "r": "m + 6", "e": "r + 6", "j": "e + 10", "d": "j + 5", "i": "v + 11", "w": "i + 15", "n": "w + 11", "b": "n + 1", "o": "b + 18", "p": "o + 2", "v": 10}, "premises": {"v": 10}, "target": "d"}, "answer": {"steps": [["j", "e + 10", "e + 15"], ["e", "r + 6", "r + 21"], ["r", "m + 6", "m + 27"], ["m", "z + 7", "z + 34"], ["z", "v + 5", "v + 39"], ["v", 10, "49"]], "target_var_name": "d", "target_value": 49, "value_dict": {"v": 10}, "is_reverse": true}} | 12,315 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 5; p = o + 2; o = b + 18; e = r + 6; j = e + 10; v = 10; m = z + 7; w = i + 15; b = n + 1; r = m + 6; i = v + 11; z = v + 5; n = w + 11. Given that v = 10, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = e + 10 to d, which gives d = e + 15.\n2. Substitute e = r + 6 to d, which gives d = r + 21.\n3. Substitute r = m + 6 to d, which gives d = m + 27.\n4. Substitute m = z + 7 to d, which gives d = z + 34.\n5. Substitute z = v + 5 to d, which gives d = v + 39.\n6. Substitute v = 10 to d, which gives d = 49.\n\nThus, the final answer is d = \\boxed{49}.",
"index": 12315,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 5; p = o + 2; o = b + 18; e = r + 6; j = e + 10; v = 10; m = z + 7; w = i + 15; b = n + 1; r = m + 6; i = v + 11; z = v + 5; n = w + 11. Given that v = 10, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 7", "u": "k + 13", "l": "u + 2", "s": "l + 11", "n": "s + 4", "r": "n + 3", "h": "y + 2", "w": "h + 15", "g": "w + 9", "m": "g + 3", "i": "m + 17", "q": "i + 3", "y": 20}, "premises": {"y": 20}, "target": "r"}, "answer": {"steps": [["n", "s + 4", "s + 7"], ["s", "l + 11", "l + 18"], ["l", "u + 2", "u + 20"], ["u", "k + 13", "k + 33"], ["k", "y + 7", "y + 40"], ["y", 20, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"y": 20}, "is_reverse": true}} | 12,316 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = u + 2; r = n + 3; m = g + 3; g = w + 9; u = k + 13; q = i + 3; h = y + 2; w = h + 15; n = s + 4; y = 20; s = l + 11; i = m + 17; k = y + 7. If y = 20, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 4 to r, which gives r = s + 7.\n2. Substitute s = l + 11 to r, which gives r = l + 18.\n3. Substitute l = u + 2 to r, which gives r = u + 20.\n4. Substitute u = k + 13 to r, which gives r = k + 33.\n5. Substitute k = y + 7 to r, which gives r = y + 40.\n6. Substitute y = 20 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 12316,
"question": "Consider a system of variables where each variable is defined as follows: l = u + 2; r = n + 3; m = g + 3; g = w + 9; u = k + 13; q = i + 3; h = y + 2; w = h + 15; n = s + 4; y = 20; s = l + 11; i = m + 17; k = y + 7. If y = 20, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "u + 12", "x": "f + 2", "a": "x + 1", "w": "a + 5", "g": "w + 13", "l": "g + 11", "k": "u + 16", "t": "k + 3", "d": "t + 17", "s": "d + 4", "i": "s + 14", "z": "i + 4", "u": 18}, "premises": {"u": 18}, "target": "l"}, "answer": {"steps": [["g", "w + 13", "w + 24"], ["w", "a + 5", "a + 29"], ["a", "x + 1", "x + 30"], ["x", "f + 2", "f + 32"], ["f", "u + 12", "u + 44"], ["u", 18, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"u": 18}, "is_reverse": true}} | 12,317 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = w + 13; u = 18; w = a + 5; i = s + 14; f = u + 12; a = x + 1; t = k + 3; s = d + 4; x = f + 2; d = t + 17; k = u + 16; z = i + 4; l = g + 11. If u = 18, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = w + 13 to l, which gives l = w + 24.\n2. Substitute w = a + 5 to l, which gives l = a + 29.\n3. Substitute a = x + 1 to l, which gives l = x + 30.\n4. Substitute x = f + 2 to l, which gives l = f + 32.\n5. Substitute f = u + 12 to l, which gives l = u + 44.\n6. Substitute u = 18 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 12317,
"question": "Consider a system of variables where each variable is defined as follows: g = w + 13; u = 18; w = a + 5; i = s + 14; f = u + 12; a = x + 1; t = k + 3; s = d + 4; x = f + 2; d = t + 17; k = u + 16; z = i + 4; l = g + 11. If u = 18, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"j": "l + 15", "q": "j + 10", "v": "q + 9", "s": "v + 18", "o": "s + 1", "n": "o + 2", "a": "l + 8", "d": "a + 16", "y": "d + 19", "t": "y + 9", "r": "t + 16", "e": "r + 8", "l": 1}, "premises": {"l": 1}, "target": "n"}, "answer": {"steps": [["o", "s + 1", "s + 3"], ["s", "v + 18", "v + 21"], ["v", "q + 9", "q + 30"], ["q", "j + 10", "j + 40"], ["j", "l + 15", "l + 55"], ["l", 1, "56"]], "target_var_name": "n", "target_value": 56, "value_dict": {"l": 1}, "is_reverse": true}} | 12,318 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 10; y = d + 19; e = r + 8; a = l + 8; r = t + 16; v = q + 9; d = a + 16; t = y + 9; j = l + 15; s = v + 18; l = 1; o = s + 1; n = o + 2. If l = 1, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 1 to n, which gives n = s + 3.\n2. Substitute s = v + 18 to n, which gives n = v + 21.\n3. Substitute v = q + 9 to n, which gives n = q + 30.\n4. Substitute q = j + 10 to n, which gives n = j + 40.\n5. Substitute j = l + 15 to n, which gives n = l + 55.\n6. Substitute l = 1 to n, which gives n = 56.\n\nThus, the final answer is n = \\boxed{56}.",
"index": 12318,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 10; y = d + 19; e = r + 8; a = l + 8; r = t + 16; v = q + 9; d = a + 16; t = y + 9; j = l + 15; s = v + 18; l = 1; o = s + 1; n = o + 2. If l = 1, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"z": "o + 9", "y": "z + 19", "v": "y + 5", "c": "v + 4", "b": "c + 17", "t": "b + 4", "n": "o + 4", "k": "n + 7", "i": "k + 15", "s": "i + 4", "w": "s + 4", "g": "w + 12", "o": 7}, "premises": {"o": 7}, "target": "t"}, "answer": {"steps": [["b", "c + 17", "c + 21"], ["c", "v + 4", "v + 25"], ["v", "y + 5", "y + 30"], ["y", "z + 19", "z + 49"], ["z", "o + 9", "o + 58"], ["o", 7, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"o": 7}, "is_reverse": true}} | 12,319 | 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 = o + 4; z = o + 9; c = v + 4; g = w + 12; w = s + 4; k = n + 7; o = 7; y = z + 19; b = c + 17; v = y + 5; s = i + 4; t = b + 4; i = k + 15. If o = 7, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 17 to t, which gives t = c + 21.\n2. Substitute c = v + 4 to t, which gives t = v + 25.\n3. Substitute v = y + 5 to t, which gives t = y + 30.\n4. Substitute y = z + 19 to t, which gives t = z + 49.\n5. Substitute z = o + 9 to t, which gives t = o + 58.\n6. Substitute o = 7 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 12319,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = o + 4; z = o + 9; c = v + 4; g = w + 12; w = s + 4; k = n + 7; o = 7; y = z + 19; b = c + 17; v = y + 5; s = i + 4; t = b + 4; i = k + 15. If o = 7, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"b": "w + 16", "y": "b + 9", "l": "y + 11", "q": "l + 14", "z": "q + 8", "d": "z + 17", "e": "w + 16", "o": "e + 12", "i": "o + 19", "u": "i + 5", "t": "u + 9", "c": "t + 6", "w": 2}, "premises": {"w": 2}, "target": "d"}, "answer": {"steps": [["z", "q + 8", "q + 25"], ["q", "l + 14", "l + 39"], ["l", "y + 11", "y + 50"], ["y", "b + 9", "b + 59"], ["b", "w + 16", "w + 75"], ["w", 2, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"w": 2}, "is_reverse": true}} | 12,320 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 17; q = l + 14; w = 2; t = u + 9; y = b + 9; z = q + 8; l = y + 11; c = t + 6; e = w + 16; i = o + 19; o = e + 12; b = w + 16; u = i + 5. Given that w = 2, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 8 to d, which gives d = q + 25.\n2. Substitute q = l + 14 to d, which gives d = l + 39.\n3. Substitute l = y + 11 to d, which gives d = y + 50.\n4. Substitute y = b + 9 to d, which gives d = b + 59.\n5. Substitute b = w + 16 to d, which gives d = w + 75.\n6. Substitute w = 2 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 12320,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 17; q = l + 14; w = 2; t = u + 9; y = b + 9; z = q + 8; l = y + 11; c = t + 6; e = w + 16; i = o + 19; o = e + 12; b = w + 16; u = i + 5. Given that w = 2, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 15", "x": "s + 4", "v": "x + 14", "z": "v + 15", "c": "z + 8", "a": "c + 13", "f": "h + 5", "g": "f + 14", "m": "g + 3", "n": "m + 11", "o": "n + 20", "i": "o + 14", "h": 15}, "premises": {"h": 15}, "target": "a"}, "answer": {"steps": [["c", "z + 8", "z + 21"], ["z", "v + 15", "v + 36"], ["v", "x + 14", "x + 50"], ["x", "s + 4", "s + 54"], ["s", "h + 15", "h + 69"], ["h", 15, "84"]], "target_var_name": "a", "target_value": 84, "value_dict": {"h": 15}, "is_reverse": true}} | 12,321 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = h + 5; v = x + 14; i = o + 14; z = v + 15; h = 15; o = n + 20; g = f + 14; s = h + 15; x = s + 4; c = z + 8; a = c + 13; m = g + 3; n = m + 11. Given that h = 15, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 8 to a, which gives a = z + 21.\n2. Substitute z = v + 15 to a, which gives a = v + 36.\n3. Substitute v = x + 14 to a, which gives a = x + 50.\n4. Substitute x = s + 4 to a, which gives a = s + 54.\n5. Substitute s = h + 15 to a, which gives a = h + 69.\n6. Substitute h = 15 to a, which gives a = 84.\n\nThus, the final answer is a = \\boxed{84}.",
"index": 12321,
"question": "Suppose a collection of variables is related by the following definitions: f = h + 5; v = x + 14; i = o + 14; z = v + 15; h = 15; o = n + 20; g = f + 14; s = h + 15; x = s + 4; c = z + 8; a = c + 13; m = g + 3; n = m + 11. Given that h = 15, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 18", "o": "s + 14", "l": "o + 2", "e": "l + 16", "i": "e + 8", "x": "i + 10", "y": "g + 11", "h": "y + 15", "w": "h + 19", "f": "w + 8", "b": "f + 10", "m": "b + 11", "g": 11}, "premises": {"g": 11}, "target": "x"}, "answer": {"steps": [["i", "e + 8", "e + 18"], ["e", "l + 16", "l + 34"], ["l", "o + 2", "o + 36"], ["o", "s + 14", "s + 50"], ["s", "g + 18", "g + 68"], ["g", 11, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"g": 11}, "is_reverse": true}} | 12,322 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 2; x = i + 10; e = l + 16; h = y + 15; g = 11; f = w + 8; y = g + 11; i = e + 8; o = s + 14; w = h + 19; s = g + 18; b = f + 10; m = b + 11. If g = 11, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = e + 8 to x, which gives x = e + 18.\n2. Substitute e = l + 16 to x, which gives x = l + 34.\n3. Substitute l = o + 2 to x, which gives x = o + 36.\n4. Substitute o = s + 14 to x, which gives x = s + 50.\n5. Substitute s = g + 18 to x, which gives x = g + 68.\n6. Substitute g = 11 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 12322,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = o + 2; x = i + 10; e = l + 16; h = y + 15; g = 11; f = w + 8; y = g + 11; i = e + 8; o = s + 14; w = h + 19; s = g + 18; b = f + 10; m = b + 11. If g = 11, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 8", "p": "e + 3", "g": "p + 4", "i": "g + 14", "t": "i + 8", "w": "t + 11", "n": "m + 6", "u": "n + 2", "d": "u + 2", "j": "d + 18", "c": "j + 3", "f": "c + 10", "m": 4}, "premises": {"m": 4}, "target": "w"}, "answer": {"steps": [["t", "i + 8", "i + 19"], ["i", "g + 14", "g + 33"], ["g", "p + 4", "p + 37"], ["p", "e + 3", "e + 40"], ["e", "m + 8", "m + 48"], ["m", 4, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"m": 4}, "is_reverse": true}} | 12,323 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 8; n = m + 6; j = d + 18; c = j + 3; e = m + 8; i = g + 14; m = 4; f = c + 10; p = e + 3; u = n + 2; g = p + 4; d = u + 2; w = t + 11. If m = 4, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 8 to w, which gives w = i + 19.\n2. Substitute i = g + 14 to w, which gives w = g + 33.\n3. Substitute g = p + 4 to w, which gives w = p + 37.\n4. Substitute p = e + 3 to w, which gives w = e + 40.\n5. Substitute e = m + 8 to w, which gives w = m + 48.\n6. Substitute m = 4 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 12323,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = i + 8; n = m + 6; j = d + 18; c = j + 3; e = m + 8; i = g + 14; m = 4; f = c + 10; p = e + 3; u = n + 2; g = p + 4; d = u + 2; w = t + 11. If m = 4, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 1", "u": "d + 18", "t": "u + 9", "j": "t + 10", "e": "j + 5", "l": "e + 6", "s": "y + 16", "g": "s + 20", "n": "g + 11", "o": "n + 20", "z": "o + 13", "q": "z + 4", "y": 17}, "premises": {"y": 17}, "target": "l"}, "answer": {"steps": [["e", "j + 5", "j + 11"], ["j", "t + 10", "t + 21"], ["t", "u + 9", "u + 30"], ["u", "d + 18", "d + 48"], ["d", "y + 1", "y + 49"], ["y", 17, "66"]], "target_var_name": "l", "target_value": 66, "value_dict": {"y": 17}, "is_reverse": true}} | 12,324 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = y + 16; j = t + 10; o = n + 20; z = o + 13; n = g + 11; e = j + 5; t = u + 9; d = y + 1; y = 17; g = s + 20; q = z + 4; u = d + 18; l = e + 6. If y = 17, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = j + 5 to l, which gives l = j + 11.\n2. Substitute j = t + 10 to l, which gives l = t + 21.\n3. Substitute t = u + 9 to l, which gives l = u + 30.\n4. Substitute u = d + 18 to l, which gives l = d + 48.\n5. Substitute d = y + 1 to l, which gives l = y + 49.\n6. Substitute y = 17 to l, which gives l = 66.\n\nThus, the final answer is l = \\boxed{66}.",
"index": 12324,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 16; j = t + 10; o = n + 20; z = o + 13; n = g + 11; e = j + 5; t = u + 9; d = y + 1; y = 17; g = s + 20; q = z + 4; u = d + 18; l = e + 6. If y = 17, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 11", "x": "a + 14", "p": "x + 17", "c": "p + 8", "m": "c + 6", "y": "m + 16", "g": "h + 15", "u": "g + 14", "t": "u + 16", "j": "t + 7", "k": "j + 7", "q": "k + 16", "h": 2}, "premises": {"h": 2}, "target": "y"}, "answer": {"steps": [["m", "c + 6", "c + 22"], ["c", "p + 8", "p + 30"], ["p", "x + 17", "x + 47"], ["x", "a + 14", "a + 61"], ["a", "h + 11", "h + 72"], ["h", 2, "74"]], "target_var_name": "y", "target_value": 74, "value_dict": {"h": 2}, "is_reverse": true}} | 12,325 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = g + 14; p = x + 17; j = t + 7; q = k + 16; h = 2; a = h + 11; t = u + 16; x = a + 14; g = h + 15; c = p + 8; k = j + 7; m = c + 6; y = m + 16. Given that h = 2, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 6 to y, which gives y = c + 22.\n2. Substitute c = p + 8 to y, which gives y = p + 30.\n3. Substitute p = x + 17 to y, which gives y = x + 47.\n4. Substitute x = a + 14 to y, which gives y = a + 61.\n5. Substitute a = h + 11 to y, which gives y = h + 72.\n6. Substitute h = 2 to y, which gives y = 74.\n\nThus, the final answer is y = \\boxed{74}.",
"index": 12325,
"question": "Suppose a collection of variables is related by the following definitions: u = g + 14; p = x + 17; j = t + 7; q = k + 16; h = 2; a = h + 11; t = u + 16; x = a + 14; g = h + 15; c = p + 8; k = j + 7; m = c + 6; y = m + 16. Given that h = 2, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 7", "c": "y + 6", "q": "c + 1", "o": "q + 4", "e": "o + 14", "x": "e + 2", "h": "m + 12", "f": "h + 2", "n": "f + 7", "l": "n + 1", "p": "l + 19", "b": "p + 8", "m": 2}, "premises": {"m": 2}, "target": "x"}, "answer": {"steps": [["e", "o + 14", "o + 16"], ["o", "q + 4", "q + 20"], ["q", "c + 1", "c + 21"], ["c", "y + 6", "y + 27"], ["y", "m + 7", "m + 34"], ["m", 2, "36"]], "target_var_name": "x", "target_value": 36, "value_dict": {"m": 2}, "is_reverse": true}} | 12,326 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 2; l = n + 1; y = m + 7; q = c + 1; h = m + 12; n = f + 7; c = y + 6; m = 2; x = e + 2; e = o + 14; o = q + 4; b = p + 8; p = l + 19. If m = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 36,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 14 to x, which gives x = o + 16.\n2. Substitute o = q + 4 to x, which gives x = q + 20.\n3. Substitute q = c + 1 to x, which gives x = c + 21.\n4. Substitute c = y + 6 to x, which gives x = y + 27.\n5. Substitute y = m + 7 to x, which gives x = m + 34.\n6. Substitute m = 2 to x, which gives x = 36.\n\nThus, the final answer is x = \\boxed{36}.",
"index": 12326,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = h + 2; l = n + 1; y = m + 7; q = c + 1; h = m + 12; n = f + 7; c = y + 6; m = 2; x = e + 2; e = o + 14; o = q + 4; b = p + 8; p = l + 19. If m = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"g": "l + 1", "v": "g + 16", "x": "v + 11", "b": "x + 3", "c": "b + 6", "h": "c + 5", "o": "l + 6", "u": "o + 15", "i": "u + 7", "k": "i + 7", "y": "k + 6", "j": "y + 10", "l": 16}, "premises": {"l": 16}, "target": "h"}, "answer": {"steps": [["c", "b + 6", "b + 11"], ["b", "x + 3", "x + 14"], ["x", "v + 11", "v + 25"], ["v", "g + 16", "g + 41"], ["g", "l + 1", "l + 42"], ["l", 16, "58"]], "target_var_name": "h", "target_value": 58, "value_dict": {"l": 16}, "is_reverse": true}} | 12,327 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 6; g = l + 1; o = l + 6; b = x + 3; v = g + 16; i = u + 7; u = o + 15; h = c + 5; j = y + 10; x = v + 11; k = i + 7; l = 16; c = b + 6. If l = 16, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 6 to h, which gives h = b + 11.\n2. Substitute b = x + 3 to h, which gives h = x + 14.\n3. Substitute x = v + 11 to h, which gives h = v + 25.\n4. Substitute v = g + 16 to h, which gives h = g + 41.\n5. Substitute g = l + 1 to h, which gives h = l + 42.\n6. Substitute l = 16 to h, which gives h = 58.\n\nThus, the final answer is h = \\boxed{58}.",
"index": 12327,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 6; g = l + 1; o = l + 6; b = x + 3; v = g + 16; i = u + 7; u = o + 15; h = c + 5; j = y + 10; x = v + 11; k = i + 7; l = 16; c = b + 6. If l = 16, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"j": "d + 1", "s": "j + 3", "c": "s + 5", "o": "c + 14", "y": "o + 6", "k": "y + 3", "z": "d + 20", "q": "z + 1", "u": "q + 13", "e": "u + 11", "m": "e + 10", "h": "m + 11", "d": 13}, "premises": {"d": 13}, "target": "k"}, "answer": {"steps": [["y", "o + 6", "o + 9"], ["o", "c + 14", "c + 23"], ["c", "s + 5", "s + 28"], ["s", "j + 3", "j + 31"], ["j", "d + 1", "d + 32"], ["d", 13, "45"]], "target_var_name": "k", "target_value": 45, "value_dict": {"d": 13}, "is_reverse": true}} | 12,328 | 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 = q + 13; y = o + 6; q = z + 1; m = e + 10; s = j + 3; c = s + 5; k = y + 3; e = u + 11; h = m + 11; d = 13; z = d + 20; o = c + 14; j = d + 1. If d = 13, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = o + 6 to k, which gives k = o + 9.\n2. Substitute o = c + 14 to k, which gives k = c + 23.\n3. Substitute c = s + 5 to k, which gives k = s + 28.\n4. Substitute s = j + 3 to k, which gives k = j + 31.\n5. Substitute j = d + 1 to k, which gives k = d + 32.\n6. Substitute d = 13 to k, which gives k = 45.\n\nThus, the final answer is k = \\boxed{45}.",
"index": 12328,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = q + 13; y = o + 6; q = z + 1; m = e + 10; s = j + 3; c = s + 5; k = y + 3; e = u + 11; h = m + 11; d = 13; z = d + 20; o = c + 14; j = d + 1. If d = 13, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"q": "n + 12", "l": "q + 19", "j": "l + 19", "y": "j + 8", "t": "y + 6", "h": "t + 1", "v": "n + 16", "x": "v + 9", "f": "x + 16", "k": "f + 20", "b": "k + 18", "d": "b + 4", "n": 16}, "premises": {"n": 16}, "target": "h"}, "answer": {"steps": [["t", "y + 6", "y + 7"], ["y", "j + 8", "j + 15"], ["j", "l + 19", "l + 34"], ["l", "q + 19", "q + 53"], ["q", "n + 12", "n + 65"], ["n", 16, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"n": 16}, "is_reverse": true}} | 12,329 | 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 = f + 20; j = l + 19; q = n + 12; n = 16; x = v + 9; l = q + 19; y = j + 8; v = n + 16; f = x + 16; t = y + 6; d = b + 4; h = t + 1; b = k + 18. If n = 16, what is the resulting 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 t = y + 6 to h, which gives h = y + 7.\n2. Substitute y = j + 8 to h, which gives h = j + 15.\n3. Substitute j = l + 19 to h, which gives h = l + 34.\n4. Substitute l = q + 19 to h, which gives h = q + 53.\n5. Substitute q = n + 12 to h, which gives h = n + 65.\n6. Substitute n = 16 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 12329,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = f + 20; j = l + 19; q = n + 12; n = 16; x = v + 9; l = q + 19; y = j + 8; v = n + 16; f = x + 16; t = y + 6; d = b + 4; h = t + 1; b = k + 18. If n = 16, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 14", "t": "z + 8", "y": "t + 11", "o": "y + 8", "n": "o + 19", "b": "n + 6", "x": "u + 4", "g": "x + 17", "m": "g + 19", "f": "m + 16", "e": "f + 2", "a": "e + 6", "u": 3}, "premises": {"u": 3}, "target": "b"}, "answer": {"steps": [["n", "o + 19", "o + 25"], ["o", "y + 8", "y + 33"], ["y", "t + 11", "t + 44"], ["t", "z + 8", "z + 52"], ["z", "u + 14", "u + 66"], ["u", 3, "69"]], "target_var_name": "b", "target_value": 69, "value_dict": {"u": 3}, "is_reverse": true}} | 12,330 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 3; t = z + 8; y = t + 11; o = y + 8; m = g + 19; n = o + 19; a = e + 6; f = m + 16; z = u + 14; e = f + 2; g = x + 17; x = u + 4; b = n + 6. Given that u = 3, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = o + 19 to b, which gives b = o + 25.\n2. Substitute o = y + 8 to b, which gives b = y + 33.\n3. Substitute y = t + 11 to b, which gives b = t + 44.\n4. Substitute t = z + 8 to b, which gives b = z + 52.\n5. Substitute z = u + 14 to b, which gives b = u + 66.\n6. Substitute u = 3 to b, which gives b = 69.\n\nThus, the final answer is b = \\boxed{69}.",
"index": 12330,
"question": "Suppose a collection of variables is related by the following definitions: u = 3; t = z + 8; y = t + 11; o = y + 8; m = g + 19; n = o + 19; a = e + 6; f = m + 16; z = u + 14; e = f + 2; g = x + 17; x = u + 4; b = n + 6. Given that u = 3, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 12", "k": "q + 14", "v": "k + 19", "d": "v + 12", "f": "d + 14", "u": "f + 16", "s": "j + 3", "p": "s + 16", "i": "p + 8", "r": "i + 18", "t": "r + 16", "g": "t + 16", "j": 9}, "premises": {"j": 9}, "target": "u"}, "answer": {"steps": [["f", "d + 14", "d + 30"], ["d", "v + 12", "v + 42"], ["v", "k + 19", "k + 61"], ["k", "q + 14", "q + 75"], ["q", "j + 12", "j + 87"], ["j", 9, "96"]], "target_var_name": "u", "target_value": 96, "value_dict": {"j": 9}, "is_reverse": true}} | 12,331 | 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 = k + 19; k = q + 14; q = j + 12; f = d + 14; g = t + 16; t = r + 16; p = s + 16; d = v + 12; j = 9; u = f + 16; r = i + 18; i = p + 8; s = j + 3. If j = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 14 to u, which gives u = d + 30.\n2. Substitute d = v + 12 to u, which gives u = v + 42.\n3. Substitute v = k + 19 to u, which gives u = k + 61.\n4. Substitute k = q + 14 to u, which gives u = q + 75.\n5. Substitute q = j + 12 to u, which gives u = j + 87.\n6. Substitute j = 9 to u, which gives u = 96.\n\nThus, the final answer is u = \\boxed{96}.",
"index": 12331,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = k + 19; k = q + 14; q = j + 12; f = d + 14; g = t + 16; t = r + 16; p = s + 16; d = v + 12; j = 9; u = f + 16; r = i + 18; i = p + 8; s = j + 3. If j = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"p": "z + 5", "c": "p + 6", "s": "c + 18", "r": "s + 3", "m": "r + 13", "n": "m + 8", "y": "z + 17", "l": "y + 6", "t": "l + 19", "k": "t + 10", "x": "k + 20", "w": "x + 3", "z": 16}, "premises": {"z": 16}, "target": "n"}, "answer": {"steps": [["m", "r + 13", "r + 21"], ["r", "s + 3", "s + 24"], ["s", "c + 18", "c + 42"], ["c", "p + 6", "p + 48"], ["p", "z + 5", "z + 53"], ["z", 16, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"z": 16}, "is_reverse": true}} | 12,332 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = r + 13; w = x + 3; z = 16; n = m + 8; x = k + 20; c = p + 6; r = s + 3; p = z + 5; k = t + 10; s = c + 18; l = y + 6; y = z + 17; t = l + 19. Given that z = 16, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 13 to n, which gives n = r + 21.\n2. Substitute r = s + 3 to n, which gives n = s + 24.\n3. Substitute s = c + 18 to n, which gives n = c + 42.\n4. Substitute c = p + 6 to n, which gives n = p + 48.\n5. Substitute p = z + 5 to n, which gives n = z + 53.\n6. Substitute z = 16 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 12332,
"question": "Suppose a collection of variables is related by the following definitions: m = r + 13; w = x + 3; z = 16; n = m + 8; x = k + 20; c = p + 6; r = s + 3; p = z + 5; k = t + 10; s = c + 18; l = y + 6; y = z + 17; t = l + 19. Given that z = 16, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"n": "i + 19", "f": "n + 2", "m": "f + 19", "w": "m + 3", "y": "w + 13", "k": "y + 10", "d": "i + 5", "q": "d + 1", "o": "q + 3", "r": "o + 3", "c": "r + 11", "b": "c + 16", "i": 2}, "premises": {"i": 2}, "target": "k"}, "answer": {"steps": [["y", "w + 13", "w + 23"], ["w", "m + 3", "m + 26"], ["m", "f + 19", "f + 45"], ["f", "n + 2", "n + 47"], ["n", "i + 19", "i + 66"], ["i", 2, "68"]], "target_var_name": "k", "target_value": 68, "value_dict": {"i": 2}, "is_reverse": true}} | 12,333 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = r + 11; b = c + 16; f = n + 2; i = 2; m = f + 19; n = i + 19; d = i + 5; w = m + 3; o = q + 3; y = w + 13; q = d + 1; r = o + 3; k = y + 10. Given that i = 2, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = w + 13 to k, which gives k = w + 23.\n2. Substitute w = m + 3 to k, which gives k = m + 26.\n3. Substitute m = f + 19 to k, which gives k = f + 45.\n4. Substitute f = n + 2 to k, which gives k = n + 47.\n5. Substitute n = i + 19 to k, which gives k = i + 66.\n6. Substitute i = 2 to k, which gives k = 68.\n\nThus, the final answer is k = \\boxed{68}.",
"index": 12333,
"question": "Suppose a collection of variables is related by the following definitions: c = r + 11; b = c + 16; f = n + 2; i = 2; m = f + 19; n = i + 19; d = i + 5; w = m + 3; o = q + 3; y = w + 13; q = d + 1; r = o + 3; k = y + 10. Given that i = 2, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"n": "q + 2", "c": "n + 14", "y": "c + 5", "s": "y + 11", "r": "s + 2", "i": "r + 2", "h": "q + 6", "b": "h + 13", "w": "b + 2", "p": "w + 15", "e": "p + 15", "l": "e + 1", "q": 9}, "premises": {"q": 9}, "target": "i"}, "answer": {"steps": [["r", "s + 2", "s + 4"], ["s", "y + 11", "y + 15"], ["y", "c + 5", "c + 20"], ["c", "n + 14", "n + 34"], ["n", "q + 2", "q + 36"], ["q", 9, "45"]], "target_var_name": "i", "target_value": 45, "value_dict": {"q": 9}, "is_reverse": true}} | 12,334 | 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 = q + 2; i = r + 2; h = q + 6; r = s + 2; b = h + 13; q = 9; e = p + 15; w = b + 2; p = w + 15; y = c + 5; l = e + 1; c = n + 14; s = y + 11. If q = 9, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = s + 2 to i, which gives i = s + 4.\n2. Substitute s = y + 11 to i, which gives i = y + 15.\n3. Substitute y = c + 5 to i, which gives i = c + 20.\n4. Substitute c = n + 14 to i, which gives i = n + 34.\n5. Substitute n = q + 2 to i, which gives i = q + 36.\n6. Substitute q = 9 to i, which gives i = 45.\n\nThus, the final answer is i = \\boxed{45}.",
"index": 12334,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = q + 2; i = r + 2; h = q + 6; r = s + 2; b = h + 13; q = 9; e = p + 15; w = b + 2; p = w + 15; y = c + 5; l = e + 1; c = n + 14; s = y + 11. If q = 9, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "j + 8", "x": "n + 9", "z": "x + 12", "t": "z + 20", "w": "t + 6", "c": "w + 10", "y": "j + 1", "p": "y + 15", "m": "p + 12", "u": "m + 1", "d": "u + 20", "s": "d + 14", "j": 11}, "premises": {"j": 11}, "target": "c"}, "answer": {"steps": [["w", "t + 6", "t + 16"], ["t", "z + 20", "z + 36"], ["z", "x + 12", "x + 48"], ["x", "n + 9", "n + 57"], ["n", "j + 8", "j + 65"], ["j", 11, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"j": 11}, "is_reverse": true}} | 12,335 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = u + 20; s = d + 14; z = x + 12; y = j + 1; x = n + 9; m = p + 12; w = t + 6; n = j + 8; t = z + 20; c = w + 10; u = m + 1; j = 11; p = y + 15. If j = 11, 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 w = t + 6 to c, which gives c = t + 16.\n2. Substitute t = z + 20 to c, which gives c = z + 36.\n3. Substitute z = x + 12 to c, which gives c = x + 48.\n4. Substitute x = n + 9 to c, which gives c = n + 57.\n5. Substitute n = j + 8 to c, which gives c = j + 65.\n6. Substitute j = 11 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 12335,
"question": "Consider a system of variables where each variable is defined as follows: d = u + 20; s = d + 14; z = x + 12; y = j + 1; x = n + 9; m = p + 12; w = t + 6; n = j + 8; t = z + 20; c = w + 10; u = m + 1; j = 11; p = y + 15. If j = 11, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 13", "s": "y + 10", "k": "s + 12", "h": "k + 20", "p": "h + 12", "g": "p + 18", "e": "t + 7", "m": "e + 9", "v": "m + 16", "w": "v + 3", "r": "w + 1", "a": "r + 9", "t": 5}, "premises": {"t": 5}, "target": "g"}, "answer": {"steps": [["p", "h + 12", "h + 30"], ["h", "k + 20", "k + 50"], ["k", "s + 12", "s + 62"], ["s", "y + 10", "y + 72"], ["y", "t + 13", "t + 85"], ["t", 5, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"t": 5}, "is_reverse": true}} | 12,336 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = e + 9; k = s + 12; p = h + 12; e = t + 7; a = r + 9; g = p + 18; t = 5; h = k + 20; s = y + 10; v = m + 16; r = w + 1; y = t + 13; w = v + 3. Given that t = 5, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = h + 12 to g, which gives g = h + 30.\n2. Substitute h = k + 20 to g, which gives g = k + 50.\n3. Substitute k = s + 12 to g, which gives g = s + 62.\n4. Substitute s = y + 10 to g, which gives g = y + 72.\n5. Substitute y = t + 13 to g, which gives g = t + 85.\n6. Substitute t = 5 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 12336,
"question": "Suppose a collection of variables is related by the following definitions: m = e + 9; k = s + 12; p = h + 12; e = t + 7; a = r + 9; g = p + 18; t = 5; h = k + 20; s = y + 10; v = m + 16; r = w + 1; y = t + 13; w = v + 3. Given that t = 5, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "z + 2", "s": "o + 7", "w": "s + 12", "b": "w + 18", "r": "b + 2", "q": "r + 11", "c": "z + 18", "v": "c + 11", "l": "v + 19", "x": "l + 20", "d": "x + 8", "e": "d + 12", "z": 18}, "premises": {"z": 18}, "target": "q"}, "answer": {"steps": [["r", "b + 2", "b + 13"], ["b", "w + 18", "w + 31"], ["w", "s + 12", "s + 43"], ["s", "o + 7", "o + 50"], ["o", "z + 2", "z + 52"], ["z", 18, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"z": 18}, "is_reverse": true}} | 12,337 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = x + 8; b = w + 18; v = c + 11; x = l + 20; q = r + 11; l = v + 19; s = o + 7; c = z + 18; o = z + 2; z = 18; r = b + 2; e = d + 12; w = s + 12. If z = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 2 to q, which gives q = b + 13.\n2. Substitute b = w + 18 to q, which gives q = w + 31.\n3. Substitute w = s + 12 to q, which gives q = s + 43.\n4. Substitute s = o + 7 to q, which gives q = o + 50.\n5. Substitute o = z + 2 to q, which gives q = z + 52.\n6. Substitute z = 18 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 12337,
"question": "Consider a system of variables where each variable is defined as follows: d = x + 8; b = w + 18; v = c + 11; x = l + 20; q = r + 11; l = v + 19; s = o + 7; c = z + 18; o = z + 2; z = 18; r = b + 2; e = d + 12; w = s + 12. If z = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 11", "a": "s + 2", "l": "a + 16", "j": "l + 16", "c": "j + 19", "k": "c + 1", "n": "f + 11", "o": "n + 10", "y": "o + 10", "b": "y + 12", "q": "b + 15", "w": "q + 2", "f": 15}, "premises": {"f": 15}, "target": "k"}, "answer": {"steps": [["c", "j + 19", "j + 20"], ["j", "l + 16", "l + 36"], ["l", "a + 16", "a + 52"], ["a", "s + 2", "s + 54"], ["s", "f + 11", "f + 65"], ["f", 15, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"f": 15}, "is_reverse": true}} | 12,338 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 2; y = o + 10; c = j + 19; a = s + 2; k = c + 1; o = n + 10; q = b + 15; b = y + 12; f = 15; n = f + 11; s = f + 11; l = a + 16; j = l + 16. If f = 15, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 19 to k, which gives k = j + 20.\n2. Substitute j = l + 16 to k, which gives k = l + 36.\n3. Substitute l = a + 16 to k, which gives k = a + 52.\n4. Substitute a = s + 2 to k, which gives k = s + 54.\n5. Substitute s = f + 11 to k, which gives k = f + 65.\n6. Substitute f = 15 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 12338,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 2; y = o + 10; c = j + 19; a = s + 2; k = c + 1; o = n + 10; q = b + 15; b = y + 12; f = 15; n = f + 11; s = f + 11; l = a + 16; j = l + 16. If f = 15, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 17", "e": "j + 9", "w": "e + 6", "f": "w + 17", "d": "f + 14", "k": "d + 4", "r": "n + 3", "g": "r + 14", "i": "g + 12", "l": "i + 4", "t": "l + 3", "v": "t + 19", "n": 20}, "premises": {"n": 20}, "target": "k"}, "answer": {"steps": [["d", "f + 14", "f + 18"], ["f", "w + 17", "w + 35"], ["w", "e + 6", "e + 41"], ["e", "j + 9", "j + 50"], ["j", "n + 17", "n + 67"], ["n", 20, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"n": 20}, "is_reverse": true}} | 12,339 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 4; e = j + 9; f = w + 17; j = n + 17; k = d + 4; w = e + 6; g = r + 14; i = g + 12; t = l + 3; r = n + 3; v = t + 19; n = 20; d = f + 14. If n = 20, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 14 to k, which gives k = f + 18.\n2. Substitute f = w + 17 to k, which gives k = w + 35.\n3. Substitute w = e + 6 to k, which gives k = e + 41.\n4. Substitute e = j + 9 to k, which gives k = j + 50.\n5. Substitute j = n + 17 to k, which gives k = n + 67.\n6. Substitute n = 20 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 12339,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = i + 4; e = j + 9; f = w + 17; j = n + 17; k = d + 4; w = e + 6; g = r + 14; i = g + 12; t = l + 3; r = n + 3; v = t + 19; n = 20; d = f + 14. If n = 20, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 20", "z": "c + 18", "n": "z + 19", "u": "n + 19", "w": "u + 9", "k": "w + 8", "p": "e + 9", "r": "p + 13", "s": "r + 2", "i": "s + 1", "t": "i + 8", "d": "t + 6", "e": 3}, "premises": {"e": 3}, "target": "k"}, "answer": {"steps": [["w", "u + 9", "u + 17"], ["u", "n + 19", "n + 36"], ["n", "z + 19", "z + 55"], ["z", "c + 18", "c + 73"], ["c", "e + 20", "e + 93"], ["e", 3, "96"]], "target_var_name": "k", "target_value": 96, "value_dict": {"e": 3}, "is_reverse": true}} | 12,340 | 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 = c + 18; c = e + 20; d = t + 6; i = s + 1; r = p + 13; w = u + 9; n = z + 19; t = i + 8; e = 3; u = n + 19; k = w + 8; s = r + 2; p = e + 9. If e = 3, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 9 to k, which gives k = u + 17.\n2. Substitute u = n + 19 to k, which gives k = n + 36.\n3. Substitute n = z + 19 to k, which gives k = z + 55.\n4. Substitute z = c + 18 to k, which gives k = c + 73.\n5. Substitute c = e + 20 to k, which gives k = e + 93.\n6. Substitute e = 3 to k, which gives k = 96.\n\nThus, the final answer is k = \\boxed{96}.",
"index": 12340,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 18; c = e + 20; d = t + 6; i = s + 1; r = p + 13; w = u + 9; n = z + 19; t = i + 8; e = 3; u = n + 19; k = w + 8; s = r + 2; p = e + 9. If e = 3, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"d": "a + 18", "j": "d + 17", "m": "j + 9", "i": "m + 20", "g": "i + 9", "p": "g + 11", "y": "a + 6", "f": "y + 18", "z": "f + 6", "l": "z + 6", "v": "l + 3", "h": "v + 20", "a": 2}, "premises": {"a": 2}, "target": "p"}, "answer": {"steps": [["g", "i + 9", "i + 20"], ["i", "m + 20", "m + 40"], ["m", "j + 9", "j + 49"], ["j", "d + 17", "d + 66"], ["d", "a + 18", "a + 84"], ["a", 2, "86"]], "target_var_name": "p", "target_value": 86, "value_dict": {"a": 2}, "is_reverse": true}} | 12,341 | 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 = i + 9; l = z + 6; f = y + 18; m = j + 9; d = a + 18; j = d + 17; h = v + 20; y = a + 6; p = g + 11; v = l + 3; a = 2; i = m + 20; z = f + 6. If a = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 9 to p, which gives p = i + 20.\n2. Substitute i = m + 20 to p, which gives p = m + 40.\n3. Substitute m = j + 9 to p, which gives p = j + 49.\n4. Substitute j = d + 17 to p, which gives p = d + 66.\n5. Substitute d = a + 18 to p, which gives p = a + 84.\n6. Substitute a = 2 to p, which gives p = 86.\n\nThus, the final answer is p = \\boxed{86}.",
"index": 12341,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = i + 9; l = z + 6; f = y + 18; m = j + 9; d = a + 18; j = d + 17; h = v + 20; y = a + 6; p = g + 11; v = l + 3; a = 2; i = m + 20; z = f + 6. If a = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 3", "h": "c + 14", "e": "h + 7", "m": "e + 7", "z": "m + 13", "r": "z + 4", "g": "n + 6", "j": "g + 14", "q": "j + 2", "l": "q + 4", "b": "l + 8", "d": "b + 9", "n": 14}, "premises": {"n": 14}, "target": "r"}, "answer": {"steps": [["z", "m + 13", "m + 17"], ["m", "e + 7", "e + 24"], ["e", "h + 7", "h + 31"], ["h", "c + 14", "c + 45"], ["c", "n + 3", "n + 48"], ["n", 14, "62"]], "target_var_name": "r", "target_value": 62, "value_dict": {"n": 14}, "is_reverse": true}} | 12,342 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = g + 14; m = e + 7; d = b + 9; h = c + 14; q = j + 2; r = z + 4; b = l + 8; g = n + 6; e = h + 7; l = q + 4; z = m + 13; c = n + 3; n = 14. If n = 14, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = m + 13 to r, which gives r = m + 17.\n2. Substitute m = e + 7 to r, which gives r = e + 24.\n3. Substitute e = h + 7 to r, which gives r = h + 31.\n4. Substitute h = c + 14 to r, which gives r = c + 45.\n5. Substitute c = n + 3 to r, which gives r = n + 48.\n6. Substitute n = 14 to r, which gives r = 62.\n\nThus, the final answer is r = \\boxed{62}.",
"index": 12342,
"question": "Consider a system of variables where each variable is defined as follows: j = g + 14; m = e + 7; d = b + 9; h = c + 14; q = j + 2; r = z + 4; b = l + 8; g = n + 6; e = h + 7; l = q + 4; z = m + 13; c = n + 3; n = 14. If n = 14, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "q + 11", "p": "g + 15", "h": "p + 1", "y": "h + 13", "z": "y + 11", "e": "z + 14", "v": "q + 16", "c": "v + 14", "s": "c + 9", "l": "s + 10", "w": "l + 7", "j": "w + 2", "q": 8}, "premises": {"q": 8}, "target": "e"}, "answer": {"steps": [["z", "y + 11", "y + 25"], ["y", "h + 13", "h + 38"], ["h", "p + 1", "p + 39"], ["p", "g + 15", "g + 54"], ["g", "q + 11", "q + 65"], ["q", 8, "73"]], "target_var_name": "e", "target_value": 73, "value_dict": {"q": 8}, "is_reverse": true}} | 12,343 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = z + 14; w = l + 7; c = v + 14; l = s + 10; z = y + 11; s = c + 9; g = q + 11; j = w + 2; v = q + 16; y = h + 13; p = g + 15; q = 8; h = p + 1. If q = 8, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = y + 11 to e, which gives e = y + 25.\n2. Substitute y = h + 13 to e, which gives e = h + 38.\n3. Substitute h = p + 1 to e, which gives e = p + 39.\n4. Substitute p = g + 15 to e, which gives e = g + 54.\n5. Substitute g = q + 11 to e, which gives e = q + 65.\n6. Substitute q = 8 to e, which gives e = 73.\n\nThus, the final answer is e = \\boxed{73}.",
"index": 12343,
"question": "Consider a system of variables where each variable is defined as follows: e = z + 14; w = l + 7; c = v + 14; l = s + 10; z = y + 11; s = c + 9; g = q + 11; j = w + 2; v = q + 16; y = h + 13; p = g + 15; q = 8; h = p + 1. If q = 8, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"i": "b + 8", "y": "i + 15", "v": "y + 11", "j": "v + 14", "l": "j + 10", "d": "l + 18", "s": "b + 17", "a": "s + 4", "m": "a + 2", "x": "m + 9", "e": "x + 13", "r": "e + 1", "b": 7}, "premises": {"b": 7}, "target": "d"}, "answer": {"steps": [["l", "j + 10", "j + 28"], ["j", "v + 14", "v + 42"], ["v", "y + 11", "y + 53"], ["y", "i + 15", "i + 68"], ["i", "b + 8", "b + 76"], ["b", 7, "83"]], "target_var_name": "d", "target_value": 83, "value_dict": {"b": 7}, "is_reverse": true}} | 12,344 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = v + 14; a = s + 4; y = i + 15; d = l + 18; i = b + 8; m = a + 2; s = b + 17; e = x + 13; l = j + 10; x = m + 9; b = 7; v = y + 11; r = e + 1. Given that b = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 10 to d, which gives d = j + 28.\n2. Substitute j = v + 14 to d, which gives d = v + 42.\n3. Substitute v = y + 11 to d, which gives d = y + 53.\n4. Substitute y = i + 15 to d, which gives d = i + 68.\n5. Substitute i = b + 8 to d, which gives d = b + 76.\n6. Substitute b = 7 to d, which gives d = 83.\n\nThus, the final answer is d = \\boxed{83}.",
"index": 12344,
"question": "Suppose a collection of variables is related by the following definitions: j = v + 14; a = s + 4; y = i + 15; d = l + 18; i = b + 8; m = a + 2; s = b + 17; e = x + 13; l = j + 10; x = m + 9; b = 7; v = y + 11; r = e + 1. Given that b = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 19", "d": "u + 5", "j": "d + 9", "i": "j + 12", "e": "i + 1", "f": "e + 16", "k": "n + 18", "p": "k + 9", "a": "p + 9", "o": "a + 18", "r": "o + 3", "h": "r + 20", "n": 5}, "premises": {"n": 5}, "target": "f"}, "answer": {"steps": [["e", "i + 1", "i + 17"], ["i", "j + 12", "j + 29"], ["j", "d + 9", "d + 38"], ["d", "u + 5", "u + 43"], ["u", "n + 19", "n + 62"], ["n", 5, "67"]], "target_var_name": "f", "target_value": 67, "value_dict": {"n": 5}, "is_reverse": true}} | 12,345 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 1; d = u + 5; f = e + 16; u = n + 19; o = a + 18; n = 5; r = o + 3; j = d + 9; k = n + 18; i = j + 12; p = k + 9; a = p + 9; h = r + 20. If n = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = i + 1 to f, which gives f = i + 17.\n2. Substitute i = j + 12 to f, which gives f = j + 29.\n3. Substitute j = d + 9 to f, which gives f = d + 38.\n4. Substitute d = u + 5 to f, which gives f = u + 43.\n5. Substitute u = n + 19 to f, which gives f = n + 62.\n6. Substitute n = 5 to f, which gives f = 67.\n\nThus, the final answer is f = \\boxed{67}.",
"index": 12345,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = i + 1; d = u + 5; f = e + 16; u = n + 19; o = a + 18; n = 5; r = o + 3; j = d + 9; k = n + 18; i = j + 12; p = k + 9; a = p + 9; h = r + 20. If n = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 17", "h": "y + 4", "k": "h + 1", "l": "k + 13", "c": "l + 10", "q": "c + 2", "z": "r + 11", "o": "z + 10", "w": "o + 1", "m": "w + 17", "u": "m + 12", "t": "u + 2", "r": 17}, "premises": {"r": 17}, "target": "q"}, "answer": {"steps": [["c", "l + 10", "l + 12"], ["l", "k + 13", "k + 25"], ["k", "h + 1", "h + 26"], ["h", "y + 4", "y + 30"], ["y", "r + 17", "r + 47"], ["r", 17, "64"]], "target_var_name": "q", "target_value": 64, "value_dict": {"r": 17}, "is_reverse": true}} | 12,346 | 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 = k + 13; w = o + 1; q = c + 2; z = r + 11; m = w + 17; y = r + 17; k = h + 1; u = m + 12; c = l + 10; t = u + 2; r = 17; o = z + 10; h = y + 4. If r = 17, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = l + 10 to q, which gives q = l + 12.\n2. Substitute l = k + 13 to q, which gives q = k + 25.\n3. Substitute k = h + 1 to q, which gives q = h + 26.\n4. Substitute h = y + 4 to q, which gives q = y + 30.\n5. Substitute y = r + 17 to q, which gives q = r + 47.\n6. Substitute r = 17 to q, which gives q = 64.\n\nThus, the final answer is q = \\boxed{64}.",
"index": 12346,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = k + 13; w = o + 1; q = c + 2; z = r + 11; m = w + 17; y = r + 17; k = h + 1; u = m + 12; c = l + 10; t = u + 2; r = 17; o = z + 10; h = y + 4. If r = 17, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 11", "u": "r + 8", "j": "u + 7", "o": "j + 2", "v": "o + 20", "c": "v + 18", "a": "d + 16", "s": "a + 7", "h": "s + 13", "t": "h + 16", "i": "t + 2", "p": "i + 20", "d": 17}, "premises": {"d": 17}, "target": "c"}, "answer": {"steps": [["v", "o + 20", "o + 38"], ["o", "j + 2", "j + 40"], ["j", "u + 7", "u + 47"], ["u", "r + 8", "r + 55"], ["r", "d + 11", "d + 66"], ["d", 17, "83"]], "target_var_name": "c", "target_value": 83, "value_dict": {"d": 17}, "is_reverse": true}} | 12,347 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = o + 20; r = d + 11; d = 17; j = u + 7; i = t + 2; p = i + 20; a = d + 16; o = j + 2; t = h + 16; h = s + 13; c = v + 18; s = a + 7; u = r + 8. If d = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 20 to c, which gives c = o + 38.\n2. Substitute o = j + 2 to c, which gives c = j + 40.\n3. Substitute j = u + 7 to c, which gives c = u + 47.\n4. Substitute u = r + 8 to c, which gives c = r + 55.\n5. Substitute r = d + 11 to c, which gives c = d + 66.\n6. Substitute d = 17 to c, which gives c = 83.\n\nThus, the final answer is c = \\boxed{83}.",
"index": 12347,
"question": "Consider a system of variables where each variable is defined as follows: v = o + 20; r = d + 11; d = 17; j = u + 7; i = t + 2; p = i + 20; a = d + 16; o = j + 2; t = h + 16; h = s + 13; c = v + 18; s = a + 7; u = r + 8. If d = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 12", "o": "i + 20", "m": "o + 3", "a": "m + 2", "c": "a + 3", "w": "c + 3", "d": "p + 6", "l": "d + 10", "r": "l + 8", "t": "r + 20", "q": "t + 20", "v": "q + 3", "p": 12}, "premises": {"p": 12}, "target": "w"}, "answer": {"steps": [["c", "a + 3", "a + 6"], ["a", "m + 2", "m + 8"], ["m", "o + 3", "o + 11"], ["o", "i + 20", "i + 31"], ["i", "p + 12", "p + 43"], ["p", 12, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"p": 12}, "is_reverse": true}} | 12,348 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = m + 2; d = p + 6; m = o + 3; q = t + 20; r = l + 8; t = r + 20; o = i + 20; p = 12; c = a + 3; i = p + 12; v = q + 3; l = d + 10; w = c + 3. Given that p = 12, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 3 to w, which gives w = a + 6.\n2. Substitute a = m + 2 to w, which gives w = m + 8.\n3. Substitute m = o + 3 to w, which gives w = o + 11.\n4. Substitute o = i + 20 to w, which gives w = i + 31.\n5. Substitute i = p + 12 to w, which gives w = p + 43.\n6. Substitute p = 12 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 12348,
"question": "Suppose a collection of variables is related by the following definitions: a = m + 2; d = p + 6; m = o + 3; q = t + 20; r = l + 8; t = r + 20; o = i + 20; p = 12; c = a + 3; i = p + 12; v = q + 3; l = d + 10; w = c + 3. Given that p = 12, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 18", "v": "d + 3", "t": "v + 11", "c": "t + 16", "y": "c + 9", "j": "y + 1", "g": "f + 1", "x": "g + 16", "u": "x + 4", "a": "u + 1", "i": "a + 17", "q": "i + 5", "f": 2}, "premises": {"f": 2}, "target": "j"}, "answer": {"steps": [["y", "c + 9", "c + 10"], ["c", "t + 16", "t + 26"], ["t", "v + 11", "v + 37"], ["v", "d + 3", "d + 40"], ["d", "f + 18", "f + 58"], ["f", 2, "60"]], "target_var_name": "j", "target_value": 60, "value_dict": {"f": 2}, "is_reverse": true}} | 12,349 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = d + 3; q = i + 5; x = g + 16; a = u + 1; c = t + 16; j = y + 1; t = v + 11; d = f + 18; g = f + 1; f = 2; i = a + 17; u = x + 4; y = c + 9. Given that f = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = c + 9 to j, which gives j = c + 10.\n2. Substitute c = t + 16 to j, which gives j = t + 26.\n3. Substitute t = v + 11 to j, which gives j = v + 37.\n4. Substitute v = d + 3 to j, which gives j = d + 40.\n5. Substitute d = f + 18 to j, which gives j = f + 58.\n6. Substitute f = 2 to j, which gives j = 60.\n\nThus, the final answer is j = \\boxed{60}.",
"index": 12349,
"question": "Suppose a collection of variables is related by the following definitions: v = d + 3; q = i + 5; x = g + 16; a = u + 1; c = t + 16; j = y + 1; t = v + 11; d = f + 18; g = f + 1; f = 2; i = a + 17; u = x + 4; y = c + 9. Given that f = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 17", "v": "o + 4", "w": "v + 12", "l": "w + 12", "u": "l + 1", "c": "u + 11", "e": "k + 5", "x": "e + 1", "j": "x + 2", "z": "j + 1", "a": "z + 10", "d": "a + 15", "k": 19}, "premises": {"k": 19}, "target": "c"}, "answer": {"steps": [["u", "l + 1", "l + 12"], ["l", "w + 12", "w + 24"], ["w", "v + 12", "v + 36"], ["v", "o + 4", "o + 40"], ["o", "k + 17", "k + 57"], ["k", 19, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"k": 19}, "is_reverse": true}} | 12,350 | 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 = o + 4; o = k + 17; w = v + 12; a = z + 10; e = k + 5; l = w + 12; j = x + 2; d = a + 15; x = e + 1; c = u + 11; k = 19; z = j + 1; u = l + 1. If k = 19, what is the resulting 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 u = l + 1 to c, which gives c = l + 12.\n2. Substitute l = w + 12 to c, which gives c = w + 24.\n3. Substitute w = v + 12 to c, which gives c = v + 36.\n4. Substitute v = o + 4 to c, which gives c = o + 40.\n5. Substitute o = k + 17 to c, which gives c = k + 57.\n6. Substitute k = 19 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 12350,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = o + 4; o = k + 17; w = v + 12; a = z + 10; e = k + 5; l = w + 12; j = x + 2; d = a + 15; x = e + 1; c = u + 11; k = 19; z = j + 1; u = l + 1. If k = 19, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 5", "b": "l + 13", "h": "b + 13", "m": "h + 12", "v": "m + 16", "y": "v + 11", "n": "r + 12", "g": "n + 14", "d": "g + 10", "j": "d + 9", "t": "j + 12", "x": "t + 1", "r": 10}, "premises": {"r": 10}, "target": "y"}, "answer": {"steps": [["v", "m + 16", "m + 27"], ["m", "h + 12", "h + 39"], ["h", "b + 13", "b + 52"], ["b", "l + 13", "l + 65"], ["l", "r + 5", "r + 70"], ["r", 10, "80"]], "target_var_name": "y", "target_value": 80, "value_dict": {"r": 10}, "is_reverse": true}} | 12,351 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 10; h = b + 13; y = v + 11; g = n + 14; t = j + 12; l = r + 5; n = r + 12; v = m + 16; x = t + 1; b = l + 13; d = g + 10; m = h + 12; j = d + 9. Given that r = 10, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 16 to y, which gives y = m + 27.\n2. Substitute m = h + 12 to y, which gives y = h + 39.\n3. Substitute h = b + 13 to y, which gives y = b + 52.\n4. Substitute b = l + 13 to y, which gives y = l + 65.\n5. Substitute l = r + 5 to y, which gives y = r + 70.\n6. Substitute r = 10 to y, which gives y = 80.\n\nThus, the final answer is y = \\boxed{80}.",
"index": 12351,
"question": "Suppose a collection of variables is related by the following definitions: r = 10; h = b + 13; y = v + 11; g = n + 14; t = j + 12; l = r + 5; n = r + 12; v = m + 16; x = t + 1; b = l + 13; d = g + 10; m = h + 12; j = d + 9. Given that r = 10, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "l + 2", "v": "m + 5", "j": "v + 4", "d": "j + 3", "c": "d + 4", "s": "c + 18", "i": "l + 14", "g": "i + 9", "q": "g + 4", "a": "q + 12", "w": "a + 12", "n": "w + 6", "l": 6}, "premises": {"l": 6}, "target": "s"}, "answer": {"steps": [["c", "d + 4", "d + 22"], ["d", "j + 3", "j + 25"], ["j", "v + 4", "v + 29"], ["v", "m + 5", "m + 34"], ["m", "l + 2", "l + 36"], ["l", 6, "42"]], "target_var_name": "s", "target_value": 42, "value_dict": {"l": 6}, "is_reverse": true}} | 12,352 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = c + 18; w = a + 12; v = m + 5; i = l + 14; c = d + 4; d = j + 3; j = v + 4; l = 6; q = g + 4; n = w + 6; m = l + 2; a = q + 12; g = i + 9. If l = 6, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 4 to s, which gives s = d + 22.\n2. Substitute d = j + 3 to s, which gives s = j + 25.\n3. Substitute j = v + 4 to s, which gives s = v + 29.\n4. Substitute v = m + 5 to s, which gives s = m + 34.\n5. Substitute m = l + 2 to s, which gives s = l + 36.\n6. Substitute l = 6 to s, which gives s = 42.\n\nThus, the final answer is s = \\boxed{42}.",
"index": 12352,
"question": "Consider a system of variables where each variable is defined as follows: s = c + 18; w = a + 12; v = m + 5; i = l + 14; c = d + 4; d = j + 3; j = v + 4; l = 6; q = g + 4; n = w + 6; m = l + 2; a = q + 12; g = i + 9. If l = 6, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"i": "v + 4", "c": "i + 7", "a": "c + 16", "k": "a + 17", "l": "k + 13", "z": "l + 13", "s": "v + 9", "o": "s + 18", "f": "o + 9", "t": "f + 9", "r": "t + 6", "b": "r + 4", "v": 16}, "premises": {"v": 16}, "target": "z"}, "answer": {"steps": [["l", "k + 13", "k + 26"], ["k", "a + 17", "a + 43"], ["a", "c + 16", "c + 59"], ["c", "i + 7", "i + 66"], ["i", "v + 4", "v + 70"], ["v", 16, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"v": 16}, "is_reverse": true}} | 12,353 | 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 = a + 17; t = f + 9; l = k + 13; c = i + 7; f = o + 9; s = v + 9; z = l + 13; i = v + 4; o = s + 18; r = t + 6; v = 16; a = c + 16; b = r + 4. If v = 16, 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 l = k + 13 to z, which gives z = k + 26.\n2. Substitute k = a + 17 to z, which gives z = a + 43.\n3. Substitute a = c + 16 to z, which gives z = c + 59.\n4. Substitute c = i + 7 to z, which gives z = i + 66.\n5. Substitute i = v + 4 to z, which gives z = v + 70.\n6. Substitute v = 16 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 12353,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = a + 17; t = f + 9; l = k + 13; c = i + 7; f = o + 9; s = v + 9; z = l + 13; i = v + 4; o = s + 18; r = t + 6; v = 16; a = c + 16; b = r + 4. If v = 16, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 9", "m": "h + 18", "o": "m + 12", "y": "o + 10", "s": "y + 2", "q": "s + 2", "a": "e + 18", "v": "a + 5", "z": "v + 5", "u": "z + 16", "f": "u + 14", "i": "f + 13", "e": 14}, "premises": {"e": 14}, "target": "q"}, "answer": {"steps": [["s", "y + 2", "y + 4"], ["y", "o + 10", "o + 14"], ["o", "m + 12", "m + 26"], ["m", "h + 18", "h + 44"], ["h", "e + 9", "e + 53"], ["e", 14, "67"]], "target_var_name": "q", "target_value": 67, "value_dict": {"e": 14}, "is_reverse": true}} | 12,354 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = 14; v = a + 5; m = h + 18; o = m + 12; u = z + 16; z = v + 5; a = e + 18; h = e + 9; f = u + 14; s = y + 2; i = f + 13; q = s + 2; y = o + 10. Given that e = 14, find the 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 s = y + 2 to q, which gives q = y + 4.\n2. Substitute y = o + 10 to q, which gives q = o + 14.\n3. Substitute o = m + 12 to q, which gives q = m + 26.\n4. Substitute m = h + 18 to q, which gives q = h + 44.\n5. Substitute h = e + 9 to q, which gives q = e + 53.\n6. Substitute e = 14 to q, which gives q = 67.\n\nThus, the final answer is q = \\boxed{67}.",
"index": 12354,
"question": "Suppose a collection of variables is related by the following definitions: e = 14; v = a + 5; m = h + 18; o = m + 12; u = z + 16; z = v + 5; a = e + 18; h = e + 9; f = u + 14; s = y + 2; i = f + 13; q = s + 2; y = o + 10. Given that e = 14, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 7", "g": "n + 10", "s": "g + 7", "e": "s + 4", "j": "e + 15", "f": "j + 17", "x": "r + 7", "y": "x + 8", "d": "y + 13", "w": "d + 7", "v": "w + 14", "k": "v + 12", "r": 16}, "premises": {"r": 16}, "target": "f"}, "answer": {"steps": [["j", "e + 15", "e + 32"], ["e", "s + 4", "s + 36"], ["s", "g + 7", "g + 43"], ["g", "n + 10", "n + 53"], ["n", "r + 7", "r + 60"], ["r", 16, "76"]], "target_var_name": "f", "target_value": 76, "value_dict": {"r": 16}, "is_reverse": true}} | 12,355 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = r + 7; k = v + 12; r = 16; w = d + 7; x = r + 7; g = n + 10; y = x + 8; j = e + 15; d = y + 13; f = j + 17; v = w + 14; e = s + 4; s = g + 7. If r = 16, 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 j = e + 15 to f, which gives f = e + 32.\n2. Substitute e = s + 4 to f, which gives f = s + 36.\n3. Substitute s = g + 7 to f, which gives f = g + 43.\n4. Substitute g = n + 10 to f, which gives f = n + 53.\n5. Substitute n = r + 7 to f, which gives f = r + 60.\n6. Substitute r = 16 to f, which gives f = 76.\n\nThus, the final answer is f = \\boxed{76}.",
"index": 12355,
"question": "Consider a system of variables where each variable is defined as follows: n = r + 7; k = v + 12; r = 16; w = d + 7; x = r + 7; g = n + 10; y = x + 8; j = e + 15; d = y + 13; f = j + 17; v = w + 14; e = s + 4; s = g + 7. If r = 16, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"e": "p + 6", "r": "e + 6", "d": "r + 5", "b": "d + 12", "c": "b + 13", "v": "c + 19", "g": "p + 7", "z": "g + 8", "t": "z + 4", "k": "t + 2", "x": "k + 18", "u": "x + 13", "p": 2}, "premises": {"p": 2}, "target": "v"}, "answer": {"steps": [["c", "b + 13", "b + 32"], ["b", "d + 12", "d + 44"], ["d", "r + 5", "r + 49"], ["r", "e + 6", "e + 55"], ["e", "p + 6", "p + 61"], ["p", 2, "63"]], "target_var_name": "v", "target_value": 63, "value_dict": {"p": 2}, "is_reverse": true}} | 12,356 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = r + 5; u = x + 13; e = p + 6; g = p + 7; z = g + 8; v = c + 19; c = b + 13; x = k + 18; r = e + 6; k = t + 2; b = d + 12; p = 2; t = z + 4. If p = 2, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 13 to v, which gives v = b + 32.\n2. Substitute b = d + 12 to v, which gives v = d + 44.\n3. Substitute d = r + 5 to v, which gives v = r + 49.\n4. Substitute r = e + 6 to v, which gives v = e + 55.\n5. Substitute e = p + 6 to v, which gives v = p + 61.\n6. Substitute p = 2 to v, which gives v = 63.\n\nThus, the final answer is v = \\boxed{63}.",
"index": 12356,
"question": "Consider a system of variables where each variable is defined as follows: d = r + 5; u = x + 13; e = p + 6; g = p + 7; z = g + 8; v = c + 19; c = b + 13; x = k + 18; r = e + 6; k = t + 2; b = d + 12; p = 2; t = z + 4. If p = 2, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 20", "p": "l + 4", "g": "p + 20", "k": "g + 17", "s": "k + 4", "v": "s + 5", "r": "b + 5", "d": "r + 6", "u": "d + 15", "t": "u + 5", "h": "t + 15", "e": "h + 8", "b": 11}, "premises": {"b": 11}, "target": "v"}, "answer": {"steps": [["s", "k + 4", "k + 9"], ["k", "g + 17", "g + 26"], ["g", "p + 20", "p + 46"], ["p", "l + 4", "l + 50"], ["l", "b + 20", "b + 70"], ["b", 11, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"b": 11}, "is_reverse": true}} | 12,357 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = h + 8; u = d + 15; v = s + 5; l = b + 20; d = r + 6; p = l + 4; r = b + 5; b = 11; k = g + 17; g = p + 20; t = u + 5; h = t + 15; s = k + 4. Given that b = 11, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 4 to v, which gives v = k + 9.\n2. Substitute k = g + 17 to v, which gives v = g + 26.\n3. Substitute g = p + 20 to v, which gives v = p + 46.\n4. Substitute p = l + 4 to v, which gives v = l + 50.\n5. Substitute l = b + 20 to v, which gives v = b + 70.\n6. Substitute b = 11 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 12357,
"question": "Suppose a collection of variables is related by the following definitions: e = h + 8; u = d + 15; v = s + 5; l = b + 20; d = r + 6; p = l + 4; r = b + 5; b = 11; k = g + 17; g = p + 20; t = u + 5; h = t + 15; s = k + 4. Given that b = 11, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"n": "r + 5", "a": "n + 8", "q": "a + 14", "i": "q + 4", "x": "i + 12", "w": "x + 9", "s": "r + 16", "c": "s + 15", "d": "c + 6", "h": "d + 12", "g": "h + 19", "f": "g + 14", "r": 14}, "premises": {"r": 14}, "target": "w"}, "answer": {"steps": [["x", "i + 12", "i + 21"], ["i", "q + 4", "q + 25"], ["q", "a + 14", "a + 39"], ["a", "n + 8", "n + 47"], ["n", "r + 5", "r + 52"], ["r", 14, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"r": 14}, "is_reverse": true}} | 12,358 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 4; n = r + 5; x = i + 12; a = n + 8; d = c + 6; q = a + 14; r = 14; s = r + 16; g = h + 19; c = s + 15; f = g + 14; h = d + 12; w = x + 9. If r = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 12 to w, which gives w = i + 21.\n2. Substitute i = q + 4 to w, which gives w = q + 25.\n3. Substitute q = a + 14 to w, which gives w = a + 39.\n4. Substitute a = n + 8 to w, which gives w = n + 47.\n5. Substitute n = r + 5 to w, which gives w = r + 52.\n6. Substitute r = 14 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 12358,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 4; n = r + 5; x = i + 12; a = n + 8; d = c + 6; q = a + 14; r = 14; s = r + 16; g = h + 19; c = s + 15; f = g + 14; h = d + 12; w = x + 9. If r = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"j": "w + 18", "m": "j + 3", "h": "m + 17", "y": "h + 18", "c": "y + 11", "p": "c + 17", "s": "w + 8", "d": "s + 2", "l": "d + 11", "a": "l + 9", "n": "a + 9", "q": "n + 11", "w": 5}, "premises": {"w": 5}, "target": "p"}, "answer": {"steps": [["c", "y + 11", "y + 28"], ["y", "h + 18", "h + 46"], ["h", "m + 17", "m + 63"], ["m", "j + 3", "j + 66"], ["j", "w + 18", "w + 84"], ["w", 5, "89"]], "target_var_name": "p", "target_value": 89, "value_dict": {"w": 5}, "is_reverse": true}} | 12,359 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = l + 9; p = c + 17; m = j + 3; y = h + 18; h = m + 17; q = n + 11; d = s + 2; s = w + 8; c = y + 11; l = d + 11; w = 5; j = w + 18; n = a + 9. If w = 5, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 11 to p, which gives p = y + 28.\n2. Substitute y = h + 18 to p, which gives p = h + 46.\n3. Substitute h = m + 17 to p, which gives p = m + 63.\n4. Substitute m = j + 3 to p, which gives p = j + 66.\n5. Substitute j = w + 18 to p, which gives p = w + 84.\n6. Substitute w = 5 to p, which gives p = 89.\n\nThus, the final answer is p = \\boxed{89}.",
"index": 12359,
"question": "Consider a system of variables where each variable is defined as follows: a = l + 9; p = c + 17; m = j + 3; y = h + 18; h = m + 17; q = n + 11; d = s + 2; s = w + 8; c = y + 11; l = d + 11; w = 5; j = w + 18; n = a + 9. If w = 5, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 10", "m": "i + 3", "k": "m + 6", "d": "k + 4", "e": "d + 16", "q": "e + 4", "j": "a + 12", "h": "j + 8", "v": "h + 3", "y": "v + 12", "l": "y + 14", "b": "l + 7", "a": 7}, "premises": {"a": 7}, "target": "q"}, "answer": {"steps": [["e", "d + 16", "d + 20"], ["d", "k + 4", "k + 24"], ["k", "m + 6", "m + 30"], ["m", "i + 3", "i + 33"], ["i", "a + 10", "a + 43"], ["a", 7, "50"]], "target_var_name": "q", "target_value": 50, "value_dict": {"a": 7}, "is_reverse": true}} | 12,360 | 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 = i + 3; k = m + 6; d = k + 4; j = a + 12; v = h + 3; q = e + 4; b = l + 7; i = a + 10; e = d + 16; y = v + 12; a = 7; l = y + 14; h = j + 8. If a = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = d + 16 to q, which gives q = d + 20.\n2. Substitute d = k + 4 to q, which gives q = k + 24.\n3. Substitute k = m + 6 to q, which gives q = m + 30.\n4. Substitute m = i + 3 to q, which gives q = i + 33.\n5. Substitute i = a + 10 to q, which gives q = a + 43.\n6. Substitute a = 7 to q, which gives q = 50.\n\nThus, the final answer is q = \\boxed{50}.",
"index": 12360,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 3; k = m + 6; d = k + 4; j = a + 12; v = h + 3; q = e + 4; b = l + 7; i = a + 10; e = d + 16; y = v + 12; a = 7; l = y + 14; h = j + 8. If a = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"h": "o + 20", "k": "h + 18", "r": "k + 11", "l": "r + 1", "p": "l + 17", "u": "p + 18", "y": "o + 15", "d": "y + 9", "a": "d + 4", "q": "a + 10", "b": "q + 1", "n": "b + 4", "o": 11}, "premises": {"o": 11}, "target": "u"}, "answer": {"steps": [["p", "l + 17", "l + 35"], ["l", "r + 1", "r + 36"], ["r", "k + 11", "k + 47"], ["k", "h + 18", "h + 65"], ["h", "o + 20", "o + 85"], ["o", 11, "96"]], "target_var_name": "u", "target_value": 96, "value_dict": {"o": 11}, "is_reverse": true}} | 12,361 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = o + 15; l = r + 1; k = h + 18; h = o + 20; b = q + 1; o = 11; d = y + 9; a = d + 4; r = k + 11; q = a + 10; n = b + 4; u = p + 18; p = l + 17. Given that o = 11, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 17 to u, which gives u = l + 35.\n2. Substitute l = r + 1 to u, which gives u = r + 36.\n3. Substitute r = k + 11 to u, which gives u = k + 47.\n4. Substitute k = h + 18 to u, which gives u = h + 65.\n5. Substitute h = o + 20 to u, which gives u = o + 85.\n6. Substitute o = 11 to u, which gives u = 96.\n\nThus, the final answer is u = \\boxed{96}.",
"index": 12361,
"question": "Suppose a collection of variables is related by the following definitions: y = o + 15; l = r + 1; k = h + 18; h = o + 20; b = q + 1; o = 11; d = y + 9; a = d + 4; r = k + 11; q = a + 10; n = b + 4; u = p + 18; p = l + 17. Given that o = 11, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"n": "x + 10", "g": "n + 19", "v": "g + 16", "r": "v + 18", "o": "r + 20", "m": "o + 8", "a": "x + 9", "e": "a + 8", "z": "e + 20", "c": "z + 1", "k": "c + 2", "l": "k + 2", "x": 19}, "premises": {"x": 19}, "target": "m"}, "answer": {"steps": [["o", "r + 20", "r + 28"], ["r", "v + 18", "v + 46"], ["v", "g + 16", "g + 62"], ["g", "n + 19", "n + 81"], ["n", "x + 10", "x + 91"], ["x", 19, "110"]], "target_var_name": "m", "target_value": 110, "value_dict": {"x": 19}, "is_reverse": true}} | 12,362 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = n + 19; n = x + 10; a = x + 9; r = v + 18; k = c + 2; l = k + 2; c = z + 1; e = a + 8; x = 19; z = e + 20; v = g + 16; m = o + 8; o = r + 20. If x = 19, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = r + 20 to m, which gives m = r + 28.\n2. Substitute r = v + 18 to m, which gives m = v + 46.\n3. Substitute v = g + 16 to m, which gives m = g + 62.\n4. Substitute g = n + 19 to m, which gives m = n + 81.\n5. Substitute n = x + 10 to m, which gives m = x + 91.\n6. Substitute x = 19 to m, which gives m = 110.\n\nThus, the final answer is m = \\boxed{110}.",
"index": 12362,
"question": "Consider a system of variables where each variable is defined as follows: g = n + 19; n = x + 10; a = x + 9; r = v + 18; k = c + 2; l = k + 2; c = z + 1; e = a + 8; x = 19; z = e + 20; v = g + 16; m = o + 8; o = r + 20. If x = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 10", "e": "g + 10", "a": "e + 20", "z": "a + 11", "i": "z + 15", "r": "i + 20", "c": "p + 8", "t": "c + 16", "b": "t + 13", "j": "b + 10", "u": "j + 2", "m": "u + 3", "p": 18}, "premises": {"p": 18}, "target": "r"}, "answer": {"steps": [["i", "z + 15", "z + 35"], ["z", "a + 11", "a + 46"], ["a", "e + 20", "e + 66"], ["e", "g + 10", "g + 76"], ["g", "p + 10", "p + 86"], ["p", 18, "104"]], "target_var_name": "r", "target_value": 104, "value_dict": {"p": 18}, "is_reverse": true}} | 12,363 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = c + 16; j = b + 10; e = g + 10; b = t + 13; g = p + 10; p = 18; m = u + 3; z = a + 11; u = j + 2; i = z + 15; r = i + 20; a = e + 20; c = p + 8. If p = 18, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = z + 15 to r, which gives r = z + 35.\n2. Substitute z = a + 11 to r, which gives r = a + 46.\n3. Substitute a = e + 20 to r, which gives r = e + 66.\n4. Substitute e = g + 10 to r, which gives r = g + 76.\n5. Substitute g = p + 10 to r, which gives r = p + 86.\n6. Substitute p = 18 to r, which gives r = 104.\n\nThus, the final answer is r = \\boxed{104}.",
"index": 12363,
"question": "Consider a system of variables where each variable is defined as follows: t = c + 16; j = b + 10; e = g + 10; b = t + 13; g = p + 10; p = 18; m = u + 3; z = a + 11; u = j + 2; i = z + 15; r = i + 20; a = e + 20; c = p + 8. If p = 18, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "u + 12", "x": "a + 3", "j": "x + 8", "v": "j + 6", "s": "v + 13", "w": "s + 6", "b": "u + 7", "m": "b + 10", "e": "m + 6", "c": "e + 9", "h": "c + 20", "l": "h + 14", "u": 7}, "premises": {"u": 7}, "target": "w"}, "answer": {"steps": [["s", "v + 13", "v + 19"], ["v", "j + 6", "j + 25"], ["j", "x + 8", "x + 33"], ["x", "a + 3", "a + 36"], ["a", "u + 12", "u + 48"], ["u", 7, "55"]], "target_var_name": "w", "target_value": 55, "value_dict": {"u": 7}, "is_reverse": true}} | 12,364 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 3; s = v + 13; u = 7; b = u + 7; a = u + 12; h = c + 20; c = e + 9; l = h + 14; e = m + 6; j = x + 8; m = b + 10; w = s + 6; v = j + 6. If u = 7, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 13 to w, which gives w = v + 19.\n2. Substitute v = j + 6 to w, which gives w = j + 25.\n3. Substitute j = x + 8 to w, which gives w = x + 33.\n4. Substitute x = a + 3 to w, which gives w = a + 36.\n5. Substitute a = u + 12 to w, which gives w = u + 48.\n6. Substitute u = 7 to w, which gives w = 55.\n\nThus, the final answer is w = \\boxed{55}.",
"index": 12364,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = a + 3; s = v + 13; u = 7; b = u + 7; a = u + 12; h = c + 20; c = e + 9; l = h + 14; e = m + 6; j = x + 8; m = b + 10; w = s + 6; v = j + 6. If u = 7, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 19", "v": "b + 9", "a": "v + 2", "s": "a + 20", "n": "s + 5", "x": "n + 2", "h": "j + 20", "e": "h + 15", "y": "e + 14", "t": "y + 10", "c": "t + 2", "d": "c + 14", "j": 15}, "premises": {"j": 15}, "target": "x"}, "answer": {"steps": [["n", "s + 5", "s + 7"], ["s", "a + 20", "a + 27"], ["a", "v + 2", "v + 29"], ["v", "b + 9", "b + 38"], ["b", "j + 19", "j + 57"], ["j", 15, "72"]], "target_var_name": "x", "target_value": 72, "value_dict": {"j": 15}, "is_reverse": true}} | 12,365 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = a + 20; x = n + 2; d = c + 14; h = j + 20; a = v + 2; y = e + 14; b = j + 19; t = y + 10; c = t + 2; n = s + 5; j = 15; e = h + 15; v = b + 9. Given that j = 15, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = s + 5 to x, which gives x = s + 7.\n2. Substitute s = a + 20 to x, which gives x = a + 27.\n3. Substitute a = v + 2 to x, which gives x = v + 29.\n4. Substitute v = b + 9 to x, which gives x = b + 38.\n5. Substitute b = j + 19 to x, which gives x = j + 57.\n6. Substitute j = 15 to x, which gives x = 72.\n\nThus, the final answer is x = \\boxed{72}.",
"index": 12365,
"question": "Suppose a collection of variables is related by the following definitions: s = a + 20; x = n + 2; d = c + 14; h = j + 20; a = v + 2; y = e + 14; b = j + 19; t = y + 10; c = t + 2; n = s + 5; j = 15; e = h + 15; v = b + 9. Given that j = 15, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 8", "n": "u + 9", "j": "n + 2", "c": "j + 17", "d": "c + 9", "f": "d + 17", "v": "o + 18", "l": "v + 16", "a": "l + 1", "e": "a + 11", "y": "e + 17", "h": "y + 11", "o": 17}, "premises": {"o": 17}, "target": "f"}, "answer": {"steps": [["d", "c + 9", "c + 26"], ["c", "j + 17", "j + 43"], ["j", "n + 2", "n + 45"], ["n", "u + 9", "u + 54"], ["u", "o + 8", "o + 62"], ["o", 17, "79"]], "target_var_name": "f", "target_value": 79, "value_dict": {"o": 17}, "is_reverse": true}} | 12,366 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = c + 9; o = 17; v = o + 18; n = u + 9; a = l + 1; l = v + 16; u = o + 8; f = d + 17; c = j + 17; h = y + 11; j = n + 2; e = a + 11; y = e + 17. Given that o = 17, 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 d = c + 9 to f, which gives f = c + 26.\n2. Substitute c = j + 17 to f, which gives f = j + 43.\n3. Substitute j = n + 2 to f, which gives f = n + 45.\n4. Substitute n = u + 9 to f, which gives f = u + 54.\n5. Substitute u = o + 8 to f, which gives f = o + 62.\n6. Substitute o = 17 to f, which gives f = 79.\n\nThus, the final answer is f = \\boxed{79}.",
"index": 12366,
"question": "Suppose a collection of variables is related by the following definitions: d = c + 9; o = 17; v = o + 18; n = u + 9; a = l + 1; l = v + 16; u = o + 8; f = d + 17; c = j + 17; h = y + 11; j = n + 2; e = a + 11; y = e + 17. Given that o = 17, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 9", "o": "u + 16", "a": "o + 9", "s": "a + 1", "c": "s + 12", "k": "c + 2", "r": "t + 1", "y": "r + 5", "b": "y + 18", "j": "b + 19", "m": "j + 11", "f": "m + 18", "t": 11}, "premises": {"t": 11}, "target": "k"}, "answer": {"steps": [["c", "s + 12", "s + 14"], ["s", "a + 1", "a + 15"], ["a", "o + 9", "o + 24"], ["o", "u + 16", "u + 40"], ["u", "t + 9", "t + 49"], ["t", 11, "60"]], "target_var_name": "k", "target_value": 60, "value_dict": {"t": 11}, "is_reverse": true}} | 12,367 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = c + 2; a = o + 9; y = r + 5; c = s + 12; s = a + 1; r = t + 1; j = b + 19; o = u + 16; m = j + 11; u = t + 9; t = 11; b = y + 18; f = m + 18. Given that t = 11, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 12 to k, which gives k = s + 14.\n2. Substitute s = a + 1 to k, which gives k = a + 15.\n3. Substitute a = o + 9 to k, which gives k = o + 24.\n4. Substitute o = u + 16 to k, which gives k = u + 40.\n5. Substitute u = t + 9 to k, which gives k = t + 49.\n6. Substitute t = 11 to k, which gives k = 60.\n\nThus, the final answer is k = \\boxed{60}.",
"index": 12367,
"question": "Suppose a collection of variables is related by the following definitions: k = c + 2; a = o + 9; y = r + 5; c = s + 12; s = a + 1; r = t + 1; j = b + 19; o = u + 16; m = j + 11; u = t + 9; t = 11; b = y + 18; f = m + 18. Given that t = 11, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 4", "m": "s + 3", "q": "m + 2", "t": "q + 16", "r": "t + 18", "i": "r + 17", "k": "a + 13", "d": "k + 18", "g": "d + 20", "p": "g + 9", "j": "p + 16", "h": "j + 20", "a": 4}, "premises": {"a": 4}, "target": "i"}, "answer": {"steps": [["r", "t + 18", "t + 35"], ["t", "q + 16", "q + 51"], ["q", "m + 2", "m + 53"], ["m", "s + 3", "s + 56"], ["s", "a + 4", "a + 60"], ["a", 4, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"a": 4}, "is_reverse": true}} | 12,368 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = a + 4; g = d + 20; d = k + 18; p = g + 9; h = j + 20; k = a + 13; t = q + 16; a = 4; m = s + 3; i = r + 17; q = m + 2; j = p + 16; r = t + 18. If a = 4, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 18 to i, which gives i = t + 35.\n2. Substitute t = q + 16 to i, which gives i = q + 51.\n3. Substitute q = m + 2 to i, which gives i = m + 53.\n4. Substitute m = s + 3 to i, which gives i = s + 56.\n5. Substitute s = a + 4 to i, which gives i = a + 60.\n6. Substitute a = 4 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 12368,
"question": "Consider a system of variables where each variable is defined as follows: s = a + 4; g = d + 20; d = k + 18; p = g + 9; h = j + 20; k = a + 13; t = q + 16; a = 4; m = s + 3; i = r + 17; q = m + 2; j = p + 16; r = t + 18. If a = 4, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 20", "r": "o + 2", "s": "r + 19", "v": "s + 7", "n": "v + 3", "j": "n + 4", "f": "l + 20", "e": "f + 10", "a": "e + 19", "g": "a + 5", "q": "g + 11", "h": "q + 7", "l": 9}, "premises": {"l": 9}, "target": "j"}, "answer": {"steps": [["n", "v + 3", "v + 7"], ["v", "s + 7", "s + 14"], ["s", "r + 19", "r + 33"], ["r", "o + 2", "o + 35"], ["o", "l + 20", "l + 55"], ["l", 9, "64"]], "target_var_name": "j", "target_value": 64, "value_dict": {"l": 9}, "is_reverse": true}} | 12,369 | 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 = n + 4; g = a + 5; n = v + 3; f = l + 20; r = o + 2; q = g + 11; l = 9; e = f + 10; a = e + 19; s = r + 19; v = s + 7; h = q + 7; o = l + 20. If l = 9, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = v + 3 to j, which gives j = v + 7.\n2. Substitute v = s + 7 to j, which gives j = s + 14.\n3. Substitute s = r + 19 to j, which gives j = r + 33.\n4. Substitute r = o + 2 to j, which gives j = o + 35.\n5. Substitute o = l + 20 to j, which gives j = l + 55.\n6. Substitute l = 9 to j, which gives j = 64.\n\nThus, the final answer is j = \\boxed{64}.",
"index": 12369,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = n + 4; g = a + 5; n = v + 3; f = l + 20; r = o + 2; q = g + 11; l = 9; e = f + 10; a = e + 19; s = r + 19; v = s + 7; h = q + 7; o = l + 20. If l = 9, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 15", "l": "s + 3", "t": "l + 19", "x": "t + 16", "f": "x + 6", "o": "f + 8", "g": "p + 19", "m": "g + 1", "b": "m + 17", "v": "b + 1", "z": "v + 1", "u": "z + 1", "p": 13}, "premises": {"p": 13}, "target": "o"}, "answer": {"steps": [["f", "x + 6", "x + 14"], ["x", "t + 16", "t + 30"], ["t", "l + 19", "l + 49"], ["l", "s + 3", "s + 52"], ["s", "p + 15", "p + 67"], ["p", 13, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"p": 13}, "is_reverse": true}} | 12,370 | 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 = x + 6; u = z + 1; b = m + 17; g = p + 19; p = 13; m = g + 1; v = b + 1; x = t + 16; t = l + 19; s = p + 15; o = f + 8; z = v + 1; l = s + 3. If p = 13, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 6 to o, which gives o = x + 14.\n2. Substitute x = t + 16 to o, which gives o = t + 30.\n3. Substitute t = l + 19 to o, which gives o = l + 49.\n4. Substitute l = s + 3 to o, which gives o = s + 52.\n5. Substitute s = p + 15 to o, which gives o = p + 67.\n6. Substitute p = 13 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 12370,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 6; u = z + 1; b = m + 17; g = p + 19; p = 13; m = g + 1; v = b + 1; x = t + 16; t = l + 19; s = p + 15; o = f + 8; z = v + 1; l = s + 3. If p = 13, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 8", "g": "m + 7", "l": "g + 5", "n": "l + 15", "o": "n + 3", "d": "o + 3", "w": "a + 11", "z": "w + 7", "t": "z + 9", "v": "t + 4", "y": "v + 2", "e": "y + 18", "a": 5}, "premises": {"a": 5}, "target": "d"}, "answer": {"steps": [["o", "n + 3", "n + 6"], ["n", "l + 15", "l + 21"], ["l", "g + 5", "g + 26"], ["g", "m + 7", "m + 33"], ["m", "a + 8", "a + 41"], ["a", 5, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"a": 5}, "is_reverse": true}} | 12,371 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = v + 2; z = w + 7; o = n + 3; v = t + 4; d = o + 3; n = l + 15; a = 5; e = y + 18; m = a + 8; t = z + 9; w = a + 11; g = m + 7; l = g + 5. If a = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = n + 3 to d, which gives d = n + 6.\n2. Substitute n = l + 15 to d, which gives d = l + 21.\n3. Substitute l = g + 5 to d, which gives d = g + 26.\n4. Substitute g = m + 7 to d, which gives d = m + 33.\n5. Substitute m = a + 8 to d, which gives d = a + 41.\n6. Substitute a = 5 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 12371,
"question": "Consider a system of variables where each variable is defined as follows: y = v + 2; z = w + 7; o = n + 3; v = t + 4; d = o + 3; n = l + 15; a = 5; e = y + 18; m = a + 8; t = z + 9; w = a + 11; g = m + 7; l = g + 5. If a = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 1", "b": "v + 9", "i": "b + 20", "h": "i + 5", "k": "h + 1", "t": "k + 17", "m": "w + 3", "f": "m + 18", "r": "f + 7", "x": "r + 2", "p": "x + 14", "g": "p + 4", "w": 11}, "premises": {"w": 11}, "target": "t"}, "answer": {"steps": [["k", "h + 1", "h + 18"], ["h", "i + 5", "i + 23"], ["i", "b + 20", "b + 43"], ["b", "v + 9", "v + 52"], ["v", "w + 1", "w + 53"], ["w", 11, "64"]], "target_var_name": "t", "target_value": 64, "value_dict": {"w": 11}, "is_reverse": true}} | 12,372 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = i + 5; p = x + 14; g = p + 4; b = v + 9; v = w + 1; w = 11; i = b + 20; t = k + 17; f = m + 18; x = r + 2; r = f + 7; m = w + 3; k = h + 1. If w = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 1 to t, which gives t = h + 18.\n2. Substitute h = i + 5 to t, which gives t = i + 23.\n3. Substitute i = b + 20 to t, which gives t = b + 43.\n4. Substitute b = v + 9 to t, which gives t = v + 52.\n5. Substitute v = w + 1 to t, which gives t = w + 53.\n6. Substitute w = 11 to t, which gives t = 64.\n\nThus, the final answer is t = \\boxed{64}.",
"index": 12372,
"question": "Consider a system of variables where each variable is defined as follows: h = i + 5; p = x + 14; g = p + 4; b = v + 9; v = w + 1; w = 11; i = b + 20; t = k + 17; f = m + 18; x = r + 2; r = f + 7; m = w + 3; k = h + 1. If w = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 13", "j": "t + 8", "k": "j + 16", "q": "k + 20", "h": "q + 1", "r": "h + 8", "v": "c + 12", "w": "v + 16", "m": "w + 10", "g": "m + 4", "d": "g + 3", "u": "d + 9", "c": 10}, "premises": {"c": 10}, "target": "r"}, "answer": {"steps": [["h", "q + 1", "q + 9"], ["q", "k + 20", "k + 29"], ["k", "j + 16", "j + 45"], ["j", "t + 8", "t + 53"], ["t", "c + 13", "c + 66"], ["c", 10, "76"]], "target_var_name": "r", "target_value": 76, "value_dict": {"c": 10}, "is_reverse": true}} | 12,373 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = t + 8; c = 10; g = m + 4; d = g + 3; u = d + 9; r = h + 8; q = k + 20; h = q + 1; t = c + 13; m = w + 10; v = c + 12; w = v + 16; k = j + 16. If c = 10, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = q + 1 to r, which gives r = q + 9.\n2. Substitute q = k + 20 to r, which gives r = k + 29.\n3. Substitute k = j + 16 to r, which gives r = j + 45.\n4. Substitute j = t + 8 to r, which gives r = t + 53.\n5. Substitute t = c + 13 to r, which gives r = c + 66.\n6. Substitute c = 10 to r, which gives r = 76.\n\nThus, the final answer is r = \\boxed{76}.",
"index": 12373,
"question": "Consider a system of variables where each variable is defined as follows: j = t + 8; c = 10; g = m + 4; d = g + 3; u = d + 9; r = h + 8; q = k + 20; h = q + 1; t = c + 13; m = w + 10; v = c + 12; w = v + 16; k = j + 16. If c = 10, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"y": "t + 11", "e": "y + 19", "k": "e + 3", "x": "k + 17", "i": "x + 6", "z": "i + 9", "d": "t + 9", "c": "d + 4", "g": "c + 12", "r": "g + 3", "j": "r + 6", "a": "j + 10", "t": 5}, "premises": {"t": 5}, "target": "z"}, "answer": {"steps": [["i", "x + 6", "x + 15"], ["x", "k + 17", "k + 32"], ["k", "e + 3", "e + 35"], ["e", "y + 19", "y + 54"], ["y", "t + 11", "t + 65"], ["t", 5, "70"]], "target_var_name": "z", "target_value": 70, "value_dict": {"t": 5}, "is_reverse": true}} | 12,374 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 12; r = g + 3; c = d + 4; e = y + 19; a = j + 10; j = r + 6; t = 5; i = x + 6; d = t + 9; z = i + 9; y = t + 11; k = e + 3; x = k + 17. If t = 5, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 6 to z, which gives z = x + 15.\n2. Substitute x = k + 17 to z, which gives z = k + 32.\n3. Substitute k = e + 3 to z, which gives z = e + 35.\n4. Substitute e = y + 19 to z, which gives z = y + 54.\n5. Substitute y = t + 11 to z, which gives z = t + 65.\n6. Substitute t = 5 to z, which gives z = 70.\n\nThus, the final answer is z = \\boxed{70}.",
"index": 12374,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 12; r = g + 3; c = d + 4; e = y + 19; a = j + 10; j = r + 6; t = 5; i = x + 6; d = t + 9; z = i + 9; y = t + 11; k = e + 3; x = k + 17. If t = 5, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "h + 9", "w": "d + 13", "o": "w + 8", "r": "o + 14", "u": "r + 11", "f": "u + 1", "j": "h + 17", "i": "j + 12", "p": "i + 5", "e": "p + 18", "b": "e + 4", "y": "b + 15", "h": 9}, "premises": {"h": 9}, "target": "f"}, "answer": {"steps": [["u", "r + 11", "r + 12"], ["r", "o + 14", "o + 26"], ["o", "w + 8", "w + 34"], ["w", "d + 13", "d + 47"], ["d", "h + 9", "h + 56"], ["h", 9, "65"]], "target_var_name": "f", "target_value": 65, "value_dict": {"h": 9}, "is_reverse": true}} | 12,375 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 15; i = j + 12; f = u + 1; h = 9; r = o + 14; w = d + 13; e = p + 18; o = w + 8; b = e + 4; u = r + 11; d = h + 9; j = h + 17; p = i + 5. If h = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 11 to f, which gives f = r + 12.\n2. Substitute r = o + 14 to f, which gives f = o + 26.\n3. Substitute o = w + 8 to f, which gives f = w + 34.\n4. Substitute w = d + 13 to f, which gives f = d + 47.\n5. Substitute d = h + 9 to f, which gives f = h + 56.\n6. Substitute h = 9 to f, which gives f = 65.\n\nThus, the final answer is f = \\boxed{65}.",
"index": 12375,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 15; i = j + 12; f = u + 1; h = 9; r = o + 14; w = d + 13; e = p + 18; o = w + 8; b = e + 4; u = r + 11; d = h + 9; j = h + 17; p = i + 5. If h = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 17", "s": "r + 9", "e": "s + 4", "q": "e + 7", "l": "q + 6", "t": "l + 4", "i": "c + 14", "d": "i + 18", "v": "d + 20", "b": "v + 13", "h": "b + 2", "n": "h + 17", "c": 18}, "premises": {"c": 18}, "target": "t"}, "answer": {"steps": [["l", "q + 6", "q + 10"], ["q", "e + 7", "e + 17"], ["e", "s + 4", "s + 21"], ["s", "r + 9", "r + 30"], ["r", "c + 17", "c + 47"], ["c", 18, "65"]], "target_var_name": "t", "target_value": 65, "value_dict": {"c": 18}, "is_reverse": true}} | 12,376 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = d + 20; l = q + 6; d = i + 18; r = c + 17; t = l + 4; b = v + 13; h = b + 2; s = r + 9; q = e + 7; e = s + 4; n = h + 17; i = c + 14; c = 18. If c = 18, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 6 to t, which gives t = q + 10.\n2. Substitute q = e + 7 to t, which gives t = e + 17.\n3. Substitute e = s + 4 to t, which gives t = s + 21.\n4. Substitute s = r + 9 to t, which gives t = r + 30.\n5. Substitute r = c + 17 to t, which gives t = c + 47.\n6. Substitute c = 18 to t, which gives t = 65.\n\nThus, the final answer is t = \\boxed{65}.",
"index": 12376,
"question": "Consider a system of variables where each variable is defined as follows: v = d + 20; l = q + 6; d = i + 18; r = c + 17; t = l + 4; b = v + 13; h = b + 2; s = r + 9; q = e + 7; e = s + 4; n = h + 17; i = c + 14; c = 18. If c = 18, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"u": "m + 17", "q": "u + 14", "x": "q + 13", "v": "x + 14", "t": "v + 17", "r": "t + 16", "w": "m + 14", "o": "w + 12", "i": "o + 1", "j": "i + 6", "p": "j + 10", "b": "p + 11", "m": 2}, "premises": {"m": 2}, "target": "r"}, "answer": {"steps": [["t", "v + 17", "v + 33"], ["v", "x + 14", "x + 47"], ["x", "q + 13", "q + 60"], ["q", "u + 14", "u + 74"], ["u", "m + 17", "m + 91"], ["m", 2, "93"]], "target_var_name": "r", "target_value": 93, "value_dict": {"m": 2}, "is_reverse": true}} | 12,377 | 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 + 17; w = m + 14; x = q + 13; t = v + 17; v = x + 14; p = j + 10; b = p + 11; r = t + 16; q = u + 14; m = 2; i = o + 1; o = w + 12; j = i + 6. If m = 2, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 17 to r, which gives r = v + 33.\n2. Substitute v = x + 14 to r, which gives r = x + 47.\n3. Substitute x = q + 13 to r, which gives r = q + 60.\n4. Substitute q = u + 14 to r, which gives r = u + 74.\n5. Substitute u = m + 17 to r, which gives r = m + 91.\n6. Substitute m = 2 to r, which gives r = 93.\n\nThus, the final answer is r = \\boxed{93}.",
"index": 12377,
"question": "Consider a system of variables where each variable is defined as follows: u = m + 17; w = m + 14; x = q + 13; t = v + 17; v = x + 14; p = j + 10; b = p + 11; r = t + 16; q = u + 14; m = 2; i = o + 1; o = w + 12; j = i + 6. If m = 2, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "x + 12", "j": "v + 18", "f": "j + 18", "t": "f + 5", "r": "t + 4", "a": "r + 19", "k": "x + 12", "o": "k + 2", "c": "o + 9", "s": "c + 7", "b": "s + 7", "w": "b + 14", "x": 15}, "premises": {"x": 15}, "target": "a"}, "answer": {"steps": [["r", "t + 4", "t + 23"], ["t", "f + 5", "f + 28"], ["f", "j + 18", "j + 46"], ["j", "v + 18", "v + 64"], ["v", "x + 12", "x + 76"], ["x", 15, "91"]], "target_var_name": "a", "target_value": 91, "value_dict": {"x": 15}, "is_reverse": true}} | 12,378 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 14; a = r + 19; v = x + 12; k = x + 12; o = k + 2; r = t + 4; t = f + 5; c = o + 9; j = v + 18; x = 15; s = c + 7; b = s + 7; f = j + 18. If x = 15, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = t + 4 to a, which gives a = t + 23.\n2. Substitute t = f + 5 to a, which gives a = f + 28.\n3. Substitute f = j + 18 to a, which gives a = j + 46.\n4. Substitute j = v + 18 to a, which gives a = v + 64.\n5. Substitute v = x + 12 to a, which gives a = x + 76.\n6. Substitute x = 15 to a, which gives a = 91.\n\nThus, the final answer is a = \\boxed{91}.",
"index": 12378,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = b + 14; a = r + 19; v = x + 12; k = x + 12; o = k + 2; r = t + 4; t = f + 5; c = o + 9; j = v + 18; x = 15; s = c + 7; b = s + 7; f = j + 18. If x = 15, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 15", "j": "s + 1", "b": "j + 9", "n": "b + 2", "i": "n + 4", "q": "i + 20", "m": "f + 16", "d": "m + 9", "g": "d + 1", "t": "g + 4", "w": "t + 11", "y": "w + 2", "f": 19}, "premises": {"f": 19}, "target": "q"}, "answer": {"steps": [["i", "n + 4", "n + 24"], ["n", "b + 2", "b + 26"], ["b", "j + 9", "j + 35"], ["j", "s + 1", "s + 36"], ["s", "f + 15", "f + 51"], ["f", 19, "70"]], "target_var_name": "q", "target_value": 70, "value_dict": {"f": 19}, "is_reverse": true}} | 12,379 | 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 = f + 15; w = t + 11; b = j + 9; g = d + 1; j = s + 1; t = g + 4; d = m + 9; f = 19; y = w + 2; i = n + 4; m = f + 16; n = b + 2; q = i + 20. If f = 19, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = n + 4 to q, which gives q = n + 24.\n2. Substitute n = b + 2 to q, which gives q = b + 26.\n3. Substitute b = j + 9 to q, which gives q = j + 35.\n4. Substitute j = s + 1 to q, which gives q = s + 36.\n5. Substitute s = f + 15 to q, which gives q = f + 51.\n6. Substitute f = 19 to q, which gives q = 70.\n\nThus, the final answer is q = \\boxed{70}.",
"index": 12379,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 15; w = t + 11; b = j + 9; g = d + 1; j = s + 1; t = g + 4; d = m + 9; f = 19; y = w + 2; i = n + 4; m = f + 16; n = b + 2; q = i + 20. If f = 19, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "i + 5", "t": "e + 10", "z": "t + 13", "o": "z + 9", "a": "o + 1", "f": "a + 8", "q": "i + 2", "n": "q + 13", "p": "n + 16", "b": "p + 14", "x": "b + 18", "m": "x + 5", "i": 9}, "premises": {"i": 9}, "target": "f"}, "answer": {"steps": [["a", "o + 1", "o + 9"], ["o", "z + 9", "z + 18"], ["z", "t + 13", "t + 31"], ["t", "e + 10", "e + 41"], ["e", "i + 5", "i + 46"], ["i", 9, "55"]], "target_var_name": "f", "target_value": 55, "value_dict": {"i": 9}, "is_reverse": true}} | 12,380 | 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 = n + 16; o = z + 9; b = p + 14; a = o + 1; n = q + 13; f = a + 8; q = i + 2; z = t + 13; i = 9; x = b + 18; m = x + 5; t = e + 10; e = i + 5. If i = 9, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = o + 1 to f, which gives f = o + 9.\n2. Substitute o = z + 9 to f, which gives f = z + 18.\n3. Substitute z = t + 13 to f, which gives f = t + 31.\n4. Substitute t = e + 10 to f, which gives f = e + 41.\n5. Substitute e = i + 5 to f, which gives f = i + 46.\n6. Substitute i = 9 to f, which gives f = 55.\n\nThus, the final answer is f = \\boxed{55}.",
"index": 12380,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = n + 16; o = z + 9; b = p + 14; a = o + 1; n = q + 13; f = a + 8; q = i + 2; z = t + 13; i = 9; x = b + 18; m = x + 5; t = e + 10; e = i + 5. If i = 9, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"w": "v + 11", "l": "w + 16", "c": "l + 13", "i": "c + 18", "q": "i + 2", "t": "q + 3", "p": "v + 4", "r": "p + 16", "b": "r + 7", "n": "b + 19", "g": "n + 4", "u": "g + 18", "v": 11}, "premises": {"v": 11}, "target": "t"}, "answer": {"steps": [["q", "i + 2", "i + 5"], ["i", "c + 18", "c + 23"], ["c", "l + 13", "l + 36"], ["l", "w + 16", "w + 52"], ["w", "v + 11", "v + 63"], ["v", 11, "74"]], "target_var_name": "t", "target_value": 74, "value_dict": {"v": 11}, "is_reverse": true}} | 12,381 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = 11; p = v + 4; u = g + 18; c = l + 13; n = b + 19; w = v + 11; t = q + 3; r = p + 16; b = r + 7; i = c + 18; g = n + 4; q = i + 2; l = w + 16. If v = 11, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = i + 2 to t, which gives t = i + 5.\n2. Substitute i = c + 18 to t, which gives t = c + 23.\n3. Substitute c = l + 13 to t, which gives t = l + 36.\n4. Substitute l = w + 16 to t, which gives t = w + 52.\n5. Substitute w = v + 11 to t, which gives t = v + 63.\n6. Substitute v = 11 to t, which gives t = 74.\n\nThus, the final answer is t = \\boxed{74}.",
"index": 12381,
"question": "Consider a system of variables where each variable is defined as follows: v = 11; p = v + 4; u = g + 18; c = l + 13; n = b + 19; w = v + 11; t = q + 3; r = p + 16; b = r + 7; i = c + 18; g = n + 4; q = i + 2; l = w + 16. If v = 11, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"n": "k + 2", "q": "n + 7", "e": "q + 18", "g": "e + 15", "v": "g + 5", "r": "v + 19", "m": "k + 18", "b": "m + 3", "o": "b + 10", "s": "o + 13", "h": "s + 9", "p": "h + 8", "k": 17}, "premises": {"k": 17}, "target": "r"}, "answer": {"steps": [["v", "g + 5", "g + 24"], ["g", "e + 15", "e + 39"], ["e", "q + 18", "q + 57"], ["q", "n + 7", "n + 64"], ["n", "k + 2", "k + 66"], ["k", 17, "83"]], "target_var_name": "r", "target_value": 83, "value_dict": {"k": 17}, "is_reverse": true}} | 12,382 | 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 = k + 18; p = h + 8; n = k + 2; o = b + 10; g = e + 15; b = m + 3; q = n + 7; v = g + 5; h = s + 9; e = q + 18; s = o + 13; k = 17; r = v + 19. If k = 17, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = g + 5 to r, which gives r = g + 24.\n2. Substitute g = e + 15 to r, which gives r = e + 39.\n3. Substitute e = q + 18 to r, which gives r = q + 57.\n4. Substitute q = n + 7 to r, which gives r = n + 64.\n5. Substitute n = k + 2 to r, which gives r = k + 66.\n6. Substitute k = 17 to r, which gives r = 83.\n\nThus, the final answer is r = \\boxed{83}.",
"index": 12382,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 18; p = h + 8; n = k + 2; o = b + 10; g = e + 15; b = m + 3; q = n + 7; v = g + 5; h = s + 9; e = q + 18; s = o + 13; k = 17; r = v + 19. If k = 17, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 12", "h": "s + 8", "p": "h + 14", "y": "p + 13", "v": "y + 3", "u": "v + 18", "g": "c + 7", "f": "g + 2", "w": "f + 17", "m": "w + 17", "x": "m + 12", "q": "x + 9", "c": 3}, "premises": {"c": 3}, "target": "u"}, "answer": {"steps": [["v", "y + 3", "y + 21"], ["y", "p + 13", "p + 34"], ["p", "h + 14", "h + 48"], ["h", "s + 8", "s + 56"], ["s", "c + 12", "c + 68"], ["c", 3, "71"]], "target_var_name": "u", "target_value": 71, "value_dict": {"c": 3}, "is_reverse": true}} | 12,383 | 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 = p + 13; g = c + 7; x = m + 12; s = c + 12; q = x + 9; c = 3; p = h + 14; u = v + 18; v = y + 3; f = g + 2; m = w + 17; h = s + 8; w = f + 17. If c = 3, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 3 to u, which gives u = y + 21.\n2. Substitute y = p + 13 to u, which gives u = p + 34.\n3. Substitute p = h + 14 to u, which gives u = h + 48.\n4. Substitute h = s + 8 to u, which gives u = s + 56.\n5. Substitute s = c + 12 to u, which gives u = c + 68.\n6. Substitute c = 3 to u, which gives u = 71.\n\nThus, the final answer is u = \\boxed{71}.",
"index": 12383,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 13; g = c + 7; x = m + 12; s = c + 12; q = x + 9; c = 3; p = h + 14; u = v + 18; v = y + 3; f = g + 2; m = w + 17; h = s + 8; w = f + 17. If c = 3, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 19", "b": "l + 9", "n": "b + 12", "f": "n + 12", "d": "f + 7", "e": "d + 2", "h": "y + 17", "t": "h + 17", "c": "t + 4", "o": "c + 20", "r": "o + 3", "v": "r + 1", "y": 15}, "premises": {"y": 15}, "target": "e"}, "answer": {"steps": [["d", "f + 7", "f + 9"], ["f", "n + 12", "n + 21"], ["n", "b + 12", "b + 33"], ["b", "l + 9", "l + 42"], ["l", "y + 19", "y + 61"], ["y", 15, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"y": 15}, "is_reverse": true}} | 12,384 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = o + 3; y = 15; e = d + 2; d = f + 7; f = n + 12; t = h + 17; l = y + 19; v = r + 1; n = b + 12; c = t + 4; h = y + 17; b = l + 9; o = c + 20. If y = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = f + 7 to e, which gives e = f + 9.\n2. Substitute f = n + 12 to e, which gives e = n + 21.\n3. Substitute n = b + 12 to e, which gives e = b + 33.\n4. Substitute b = l + 9 to e, which gives e = l + 42.\n5. Substitute l = y + 19 to e, which gives e = y + 61.\n6. Substitute y = 15 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 12384,
"question": "Consider a system of variables where each variable is defined as follows: r = o + 3; y = 15; e = d + 2; d = f + 7; f = n + 12; t = h + 17; l = y + 19; v = r + 1; n = b + 12; c = t + 4; h = y + 17; b = l + 9; o = c + 20. If y = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 8", "m": "q + 10", "d": "m + 18", "c": "d + 3", "k": "c + 9", "t": "k + 12", "o": "h + 18", "v": "o + 1", "w": "v + 12", "b": "w + 5", "p": "b + 3", "e": "p + 16", "h": 8}, "premises": {"h": 8}, "target": "t"}, "answer": {"steps": [["k", "c + 9", "c + 21"], ["c", "d + 3", "d + 24"], ["d", "m + 18", "m + 42"], ["m", "q + 10", "q + 52"], ["q", "h + 8", "h + 60"], ["h", 8, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"h": 8}, "is_reverse": true}} | 12,385 | 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 = m + 18; e = p + 16; h = 8; t = k + 12; o = h + 18; m = q + 10; p = b + 3; k = c + 9; b = w + 5; w = v + 12; c = d + 3; q = h + 8; v = o + 1. If h = 8, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 9 to t, which gives t = c + 21.\n2. Substitute c = d + 3 to t, which gives t = d + 24.\n3. Substitute d = m + 18 to t, which gives t = m + 42.\n4. Substitute m = q + 10 to t, which gives t = q + 52.\n5. Substitute q = h + 8 to t, which gives t = h + 60.\n6. Substitute h = 8 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 12385,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = m + 18; e = p + 16; h = 8; t = k + 12; o = h + 18; m = q + 10; p = b + 3; k = c + 9; b = w + 5; w = v + 12; c = d + 3; q = h + 8; v = o + 1. If h = 8, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"o": "c + 17", "x": "o + 5", "n": "x + 20", "q": "n + 20", "g": "q + 10", "a": "g + 1", "s": "c + 7", "v": "s + 4", "h": "v + 9", "j": "h + 10", "z": "j + 7", "y": "z + 11", "c": 17}, "premises": {"c": 17}, "target": "a"}, "answer": {"steps": [["g", "q + 10", "q + 11"], ["q", "n + 20", "n + 31"], ["n", "x + 20", "x + 51"], ["x", "o + 5", "o + 56"], ["o", "c + 17", "c + 73"], ["c", 17, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"c": 17}, "is_reverse": true}} | 12,386 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = x + 20; c = 17; j = h + 10; z = j + 7; a = g + 1; h = v + 9; y = z + 11; q = n + 20; v = s + 4; g = q + 10; x = o + 5; o = c + 17; s = c + 7. If c = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 10 to a, which gives a = q + 11.\n2. Substitute q = n + 20 to a, which gives a = n + 31.\n3. Substitute n = x + 20 to a, which gives a = x + 51.\n4. Substitute x = o + 5 to a, which gives a = o + 56.\n5. Substitute o = c + 17 to a, which gives a = c + 73.\n6. Substitute c = 17 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 12386,
"question": "Consider a system of variables where each variable is defined as follows: n = x + 20; c = 17; j = h + 10; z = j + 7; a = g + 1; h = v + 9; y = z + 11; q = n + 20; v = s + 4; g = q + 10; x = o + 5; o = c + 17; s = c + 7. If c = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 6", "v": "i + 5", "n": "v + 11", "p": "n + 5", "l": "p + 14", "a": "l + 4", "g": "u + 12", "e": "g + 6", "w": "e + 16", "d": "w + 16", "k": "d + 10", "b": "k + 4", "u": 7}, "premises": {"u": 7}, "target": "a"}, "answer": {"steps": [["l", "p + 14", "p + 18"], ["p", "n + 5", "n + 23"], ["n", "v + 11", "v + 34"], ["v", "i + 5", "i + 39"], ["i", "u + 6", "u + 45"], ["u", 7, "52"]], "target_var_name": "a", "target_value": 52, "value_dict": {"u": 7}, "is_reverse": true}} | 12,387 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = n + 5; l = p + 14; d = w + 16; v = i + 5; g = u + 12; a = l + 4; n = v + 11; i = u + 6; e = g + 6; w = e + 16; u = 7; k = d + 10; b = k + 4. If u = 7, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 14 to a, which gives a = p + 18.\n2. Substitute p = n + 5 to a, which gives a = n + 23.\n3. Substitute n = v + 11 to a, which gives a = v + 34.\n4. Substitute v = i + 5 to a, which gives a = i + 39.\n5. Substitute i = u + 6 to a, which gives a = u + 45.\n6. Substitute u = 7 to a, which gives a = 52.\n\nThus, the final answer is a = \\boxed{52}.",
"index": 12387,
"question": "Consider a system of variables where each variable is defined as follows: p = n + 5; l = p + 14; d = w + 16; v = i + 5; g = u + 12; a = l + 4; n = v + 11; i = u + 6; e = g + 6; w = e + 16; u = 7; k = d + 10; b = k + 4. If u = 7, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "d + 17", "q": "k + 15", "z": "q + 13", "c": "z + 7", "w": "c + 13", "b": "w + 8", "r": "d + 19", "u": "r + 6", "p": "u + 12", "j": "p + 3", "n": "j + 2", "s": "n + 15", "d": 3}, "premises": {"d": 3}, "target": "b"}, "answer": {"steps": [["w", "c + 13", "c + 21"], ["c", "z + 7", "z + 28"], ["z", "q + 13", "q + 41"], ["q", "k + 15", "k + 56"], ["k", "d + 17", "d + 73"], ["d", 3, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"d": 3}, "is_reverse": true}} | 12,388 | 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 + 7; k = d + 17; q = k + 15; u = r + 6; b = w + 8; n = j + 2; s = n + 15; z = q + 13; r = d + 19; j = p + 3; d = 3; w = c + 13; p = u + 12. If d = 3, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 13 to b, which gives b = c + 21.\n2. Substitute c = z + 7 to b, which gives b = z + 28.\n3. Substitute z = q + 13 to b, which gives b = q + 41.\n4. Substitute q = k + 15 to b, which gives b = k + 56.\n5. Substitute k = d + 17 to b, which gives b = d + 73.\n6. Substitute d = 3 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 12388,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = z + 7; k = d + 17; q = k + 15; u = r + 6; b = w + 8; n = j + 2; s = n + 15; z = q + 13; r = d + 19; j = p + 3; d = 3; w = c + 13; p = u + 12. If d = 3, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 4", "s": "w + 19", "i": "s + 1", "b": "i + 14", "r": "b + 13", "u": "r + 12", "n": "m + 3", "k": "n + 14", "d": "k + 17", "c": "d + 4", "q": "c + 11", "p": "q + 1", "m": 7}, "premises": {"m": 7}, "target": "u"}, "answer": {"steps": [["r", "b + 13", "b + 25"], ["b", "i + 14", "i + 39"], ["i", "s + 1", "s + 40"], ["s", "w + 19", "w + 59"], ["w", "m + 4", "m + 63"], ["m", 7, "70"]], "target_var_name": "u", "target_value": 70, "value_dict": {"m": 7}, "is_reverse": true}} | 12,389 | 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 = n + 14; s = w + 19; i = s + 1; q = c + 11; m = 7; c = d + 4; w = m + 4; u = r + 12; r = b + 13; p = q + 1; d = k + 17; n = m + 3; b = i + 14. If m = 7, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 13 to u, which gives u = b + 25.\n2. Substitute b = i + 14 to u, which gives u = i + 39.\n3. Substitute i = s + 1 to u, which gives u = s + 40.\n4. Substitute s = w + 19 to u, which gives u = w + 59.\n5. Substitute w = m + 4 to u, which gives u = m + 63.\n6. Substitute m = 7 to u, which gives u = 70.\n\nThus, the final answer is u = \\boxed{70}.",
"index": 12389,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 14; s = w + 19; i = s + 1; q = c + 11; m = 7; c = d + 4; w = m + 4; u = r + 12; r = b + 13; p = q + 1; d = k + 17; n = m + 3; b = i + 14. If m = 7, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"z": "a + 18", "t": "z + 3", "u": "t + 5", "l": "u + 10", "y": "l + 16", "d": "y + 1", "n": "a + 18", "x": "n + 18", "h": "x + 10", "g": "h + 12", "p": "g + 6", "e": "p + 14", "a": 8}, "premises": {"a": 8}, "target": "d"}, "answer": {"steps": [["y", "l + 16", "l + 17"], ["l", "u + 10", "u + 27"], ["u", "t + 5", "t + 32"], ["t", "z + 3", "z + 35"], ["z", "a + 18", "a + 53"], ["a", 8, "61"]], "target_var_name": "d", "target_value": 61, "value_dict": {"a": 8}, "is_reverse": true}} | 12,390 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 16; h = x + 10; e = p + 14; u = t + 5; x = n + 18; d = y + 1; z = a + 18; g = h + 12; a = 8; p = g + 6; n = a + 18; l = u + 10; t = z + 3. If a = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 16 to d, which gives d = l + 17.\n2. Substitute l = u + 10 to d, which gives d = u + 27.\n3. Substitute u = t + 5 to d, which gives d = t + 32.\n4. Substitute t = z + 3 to d, which gives d = z + 35.\n5. Substitute z = a + 18 to d, which gives d = a + 53.\n6. Substitute a = 8 to d, which gives d = 61.\n\nThus, the final answer is d = \\boxed{61}.",
"index": 12390,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 16; h = x + 10; e = p + 14; u = t + 5; x = n + 18; d = y + 1; z = a + 18; g = h + 12; a = 8; p = g + 6; n = a + 18; l = u + 10; t = z + 3. If a = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 12", "s": "q + 13", "k": "s + 8", "x": "k + 19", "f": "x + 7", "l": "f + 8", "p": "h + 8", "n": "p + 7", "w": "n + 20", "y": "w + 16", "a": "y + 1", "r": "a + 10", "h": 18}, "premises": {"h": 18}, "target": "l"}, "answer": {"steps": [["f", "x + 7", "x + 15"], ["x", "k + 19", "k + 34"], ["k", "s + 8", "s + 42"], ["s", "q + 13", "q + 55"], ["q", "h + 12", "h + 67"], ["h", 18, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"h": 18}, "is_reverse": true}} | 12,391 | 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 = s + 8; r = a + 10; l = f + 8; a = y + 1; h = 18; f = x + 7; p = h + 8; w = n + 20; n = p + 7; q = h + 12; s = q + 13; y = w + 16; x = k + 19. If h = 18, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = x + 7 to l, which gives l = x + 15.\n2. Substitute x = k + 19 to l, which gives l = k + 34.\n3. Substitute k = s + 8 to l, which gives l = s + 42.\n4. Substitute s = q + 13 to l, which gives l = q + 55.\n5. Substitute q = h + 12 to l, which gives l = h + 67.\n6. Substitute h = 18 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 12391,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = s + 8; r = a + 10; l = f + 8; a = y + 1; h = 18; f = x + 7; p = h + 8; w = n + 20; n = p + 7; q = h + 12; s = q + 13; y = w + 16; x = k + 19. If h = 18, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 9", "n": "v + 11", "t": "n + 7", "q": "t + 13", "i": "q + 12", "p": "i + 18", "f": "e + 5", "a": "f + 12", "k": "a + 12", "g": "k + 7", "s": "g + 20", "l": "s + 1", "e": 11}, "premises": {"e": 11}, "target": "p"}, "answer": {"steps": [["i", "q + 12", "q + 30"], ["q", "t + 13", "t + 43"], ["t", "n + 7", "n + 50"], ["n", "v + 11", "v + 61"], ["v", "e + 9", "e + 70"], ["e", 11, "81"]], "target_var_name": "p", "target_value": 81, "value_dict": {"e": 11}, "is_reverse": true}} | 12,392 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = i + 18; i = q + 12; l = s + 1; q = t + 13; s = g + 20; g = k + 7; t = n + 7; k = a + 12; e = 11; n = v + 11; f = e + 5; v = e + 9; a = f + 12. Given that e = 11, find 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 i = q + 12 to p, which gives p = q + 30.\n2. Substitute q = t + 13 to p, which gives p = t + 43.\n3. Substitute t = n + 7 to p, which gives p = n + 50.\n4. Substitute n = v + 11 to p, which gives p = v + 61.\n5. Substitute v = e + 9 to p, which gives p = e + 70.\n6. Substitute e = 11 to p, which gives p = 81.\n\nThus, the final answer is p = \\boxed{81}.",
"index": 12392,
"question": "Suppose a collection of variables is related by the following definitions: p = i + 18; i = q + 12; l = s + 1; q = t + 13; s = g + 20; g = k + 7; t = n + 7; k = a + 12; e = 11; n = v + 11; f = e + 5; v = e + 9; a = f + 12. Given that e = 11, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "t + 3", "r": "x + 3", "b": "r + 20", "n": "b + 5", "a": "n + 18", "g": "a + 11", "z": "t + 14", "f": "z + 20", "h": "f + 16", "s": "h + 15", "v": "s + 4", "o": "v + 6", "t": 16}, "premises": {"t": 16}, "target": "g"}, "answer": {"steps": [["a", "n + 18", "n + 29"], ["n", "b + 5", "b + 34"], ["b", "r + 20", "r + 54"], ["r", "x + 3", "x + 57"], ["x", "t + 3", "t + 60"], ["t", 16, "76"]], "target_var_name": "g", "target_value": 76, "value_dict": {"t": 16}, "is_reverse": true}} | 12,393 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = a + 11; o = v + 6; v = s + 4; r = x + 3; t = 16; s = h + 15; b = r + 20; x = t + 3; z = t + 14; n = b + 5; h = f + 16; a = n + 18; f = z + 20. If t = 16, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 18 to g, which gives g = n + 29.\n2. Substitute n = b + 5 to g, which gives g = b + 34.\n3. Substitute b = r + 20 to g, which gives g = r + 54.\n4. Substitute r = x + 3 to g, which gives g = x + 57.\n5. Substitute x = t + 3 to g, which gives g = t + 60.\n6. Substitute t = 16 to g, which gives g = 76.\n\nThus, the final answer is g = \\boxed{76}.",
"index": 12393,
"question": "Consider a system of variables where each variable is defined as follows: g = a + 11; o = v + 6; v = s + 4; r = x + 3; t = 16; s = h + 15; b = r + 20; x = t + 3; z = t + 14; n = b + 5; h = f + 16; a = n + 18; f = z + 20. If t = 16, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 11", "b": "f + 14", "p": "b + 20", "z": "p + 1", "l": "z + 18", "c": "l + 16", "u": "k + 10", "a": "u + 8", "d": "a + 4", "q": "d + 19", "r": "q + 15", "j": "r + 17", "k": 1}, "premises": {"k": 1}, "target": "c"}, "answer": {"steps": [["l", "z + 18", "z + 34"], ["z", "p + 1", "p + 35"], ["p", "b + 20", "b + 55"], ["b", "f + 14", "f + 69"], ["f", "k + 11", "k + 80"], ["k", 1, "81"]], "target_var_name": "c", "target_value": 81, "value_dict": {"k": 1}, "is_reverse": true}} | 12,394 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 1; c = l + 16; l = z + 18; b = f + 14; a = u + 8; j = r + 17; p = b + 20; z = p + 1; q = d + 19; f = k + 11; d = a + 4; u = k + 10; r = q + 15. If k = 1, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = z + 18 to c, which gives c = z + 34.\n2. Substitute z = p + 1 to c, which gives c = p + 35.\n3. Substitute p = b + 20 to c, which gives c = b + 55.\n4. Substitute b = f + 14 to c, which gives c = f + 69.\n5. Substitute f = k + 11 to c, which gives c = k + 80.\n6. Substitute k = 1 to c, which gives c = 81.\n\nThus, the final answer is c = \\boxed{81}.",
"index": 12394,
"question": "Consider a system of variables where each variable is defined as follows: k = 1; c = l + 16; l = z + 18; b = f + 14; a = u + 8; j = r + 17; p = b + 20; z = p + 1; q = d + 19; f = k + 11; d = a + 4; u = k + 10; r = q + 15. If k = 1, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"b": "r + 1", "v": "b + 19", "p": "v + 14", "e": "p + 18", "k": "e + 17", "n": "k + 14", "j": "r + 16", "m": "j + 17", "g": "m + 15", "a": "g + 7", "u": "a + 9", "y": "u + 16", "r": 20}, "premises": {"r": 20}, "target": "n"}, "answer": {"steps": [["k", "e + 17", "e + 31"], ["e", "p + 18", "p + 49"], ["p", "v + 14", "v + 63"], ["v", "b + 19", "b + 82"], ["b", "r + 1", "r + 83"], ["r", 20, "103"]], "target_var_name": "n", "target_value": 103, "value_dict": {"r": 20}, "is_reverse": true}} | 12,395 | 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 = g + 7; k = e + 17; g = m + 15; b = r + 1; u = a + 9; j = r + 16; p = v + 14; y = u + 16; r = 20; m = j + 17; v = b + 19; e = p + 18; n = k + 14. If r = 20, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = e + 17 to n, which gives n = e + 31.\n2. Substitute e = p + 18 to n, which gives n = p + 49.\n3. Substitute p = v + 14 to n, which gives n = v + 63.\n4. Substitute v = b + 19 to n, which gives n = b + 82.\n5. Substitute b = r + 1 to n, which gives n = r + 83.\n6. Substitute r = 20 to n, which gives n = 103.\n\nThus, the final answer is n = \\boxed{103}.",
"index": 12395,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = g + 7; k = e + 17; g = m + 15; b = r + 1; u = a + 9; j = r + 16; p = v + 14; y = u + 16; r = 20; m = j + 17; v = b + 19; e = p + 18; n = k + 14. If r = 20, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 10", "q": "j + 11", "i": "q + 16", "t": "i + 3", "b": "t + 11", "w": "b + 17", "e": "n + 10", "f": "e + 4", "m": "f + 10", "u": "m + 4", "y": "u + 6", "z": "y + 5", "n": 17}, "premises": {"n": 17}, "target": "w"}, "answer": {"steps": [["b", "t + 11", "t + 28"], ["t", "i + 3", "i + 31"], ["i", "q + 16", "q + 47"], ["q", "j + 11", "j + 58"], ["j", "n + 10", "n + 68"], ["n", 17, "85"]], "target_var_name": "w", "target_value": 85, "value_dict": {"n": 17}, "is_reverse": true}} | 12,396 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = q + 16; t = i + 3; b = t + 11; w = b + 17; m = f + 10; z = y + 5; u = m + 4; n = 17; j = n + 10; e = n + 10; y = u + 6; f = e + 4; q = j + 11. If n = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = t + 11 to w, which gives w = t + 28.\n2. Substitute t = i + 3 to w, which gives w = i + 31.\n3. Substitute i = q + 16 to w, which gives w = q + 47.\n4. Substitute q = j + 11 to w, which gives w = j + 58.\n5. Substitute j = n + 10 to w, which gives w = n + 68.\n6. Substitute n = 17 to w, which gives w = 85.\n\nThus, the final answer is w = \\boxed{85}.",
"index": 12396,
"question": "Consider a system of variables where each variable is defined as follows: i = q + 16; t = i + 3; b = t + 11; w = b + 17; m = f + 10; z = y + 5; u = m + 4; n = 17; j = n + 10; e = n + 10; y = u + 6; f = e + 4; q = j + 11. If n = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 18", "n": "m + 8", "f": "n + 12", "b": "f + 15", "r": "b + 14", "c": "r + 5", "t": "u + 11", "j": "t + 8", "e": "j + 16", "y": "e + 14", "z": "y + 12", "a": "z + 5", "u": 1}, "premises": {"u": 1}, "target": "c"}, "answer": {"steps": [["r", "b + 14", "b + 19"], ["b", "f + 15", "f + 34"], ["f", "n + 12", "n + 46"], ["n", "m + 8", "m + 54"], ["m", "u + 18", "u + 72"], ["u", 1, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"u": 1}, "is_reverse": true}} | 12,397 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 12; z = y + 12; m = u + 18; j = t + 8; n = m + 8; e = j + 16; c = r + 5; r = b + 14; b = f + 15; a = z + 5; u = 1; t = u + 11; y = e + 14. Given that u = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 14 to c, which gives c = b + 19.\n2. Substitute b = f + 15 to c, which gives c = f + 34.\n3. Substitute f = n + 12 to c, which gives c = n + 46.\n4. Substitute n = m + 8 to c, which gives c = m + 54.\n5. Substitute m = u + 18 to c, which gives c = u + 72.\n6. Substitute u = 1 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 12397,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 12; z = y + 12; m = u + 18; j = t + 8; n = m + 8; e = j + 16; c = r + 5; r = b + 14; b = f + 15; a = z + 5; u = 1; t = u + 11; y = e + 14. Given that u = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "v + 1", "u": "d + 9", "a": "u + 12", "k": "a + 8", "e": "k + 18", "m": "e + 7", "i": "v + 14", "t": "i + 12", "c": "t + 5", "z": "c + 15", "r": "z + 4", "w": "r + 7", "v": 6}, "premises": {"v": 6}, "target": "m"}, "answer": {"steps": [["e", "k + 18", "k + 25"], ["k", "a + 8", "a + 33"], ["a", "u + 12", "u + 45"], ["u", "d + 9", "d + 54"], ["d", "v + 1", "v + 55"], ["v", 6, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"v": 6}, "is_reverse": true}} | 12,398 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = t + 5; u = d + 9; k = a + 8; r = z + 4; d = v + 1; a = u + 12; i = v + 14; t = i + 12; w = r + 7; e = k + 18; z = c + 15; v = 6; m = e + 7. Given that v = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 18 to m, which gives m = k + 25.\n2. Substitute k = a + 8 to m, which gives m = a + 33.\n3. Substitute a = u + 12 to m, which gives m = u + 45.\n4. Substitute u = d + 9 to m, which gives m = d + 54.\n5. Substitute d = v + 1 to m, which gives m = v + 55.\n6. Substitute v = 6 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 12398,
"question": "Suppose a collection of variables is related by the following definitions: c = t + 5; u = d + 9; k = a + 8; r = z + 4; d = v + 1; a = u + 12; i = v + 14; t = i + 12; w = r + 7; e = k + 18; z = c + 15; v = 6; m = e + 7. Given that v = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"h": "i + 20", "x": "h + 9", "o": "x + 15", "z": "o + 11", "m": "z + 17", "t": "m + 14", "a": "i + 16", "y": "a + 5", "k": "y + 5", "q": "k + 11", "n": "q + 10", "f": "n + 8", "i": 9}, "premises": {"i": 9}, "target": "t"}, "answer": {"steps": [["m", "z + 17", "z + 31"], ["z", "o + 11", "o + 42"], ["o", "x + 15", "x + 57"], ["x", "h + 9", "h + 66"], ["h", "i + 20", "i + 86"], ["i", 9, "95"]], "target_var_name": "t", "target_value": 95, "value_dict": {"i": 9}, "is_reverse": true}} | 12,399 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = n + 8; z = o + 11; i = 9; q = k + 11; t = m + 14; n = q + 10; o = x + 15; m = z + 17; x = h + 9; y = a + 5; k = y + 5; h = i + 20; a = i + 16. Given that i = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = z + 17 to t, which gives t = z + 31.\n2. Substitute z = o + 11 to t, which gives t = o + 42.\n3. Substitute o = x + 15 to t, which gives t = x + 57.\n4. Substitute x = h + 9 to t, which gives t = h + 66.\n5. Substitute h = i + 20 to t, which gives t = i + 86.\n6. Substitute i = 9 to t, which gives t = 95.\n\nThus, the final answer is t = \\boxed{95}.",
"index": 12399,
"question": "Suppose a collection of variables is related by the following definitions: f = n + 8; z = o + 11; i = 9; q = k + 11; t = m + 14; n = q + 10; o = x + 15; m = z + 17; x = h + 9; y = a + 5; k = y + 5; h = i + 20; a = i + 16. Given that i = 9, find the value of t.",
"split": "train"
} |
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