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": {"a": "m + 18", "w": "a + 9", "f": "w + 4", "n": "f + 15", "x": "n + 3", "l": "x + 12", "i": "m + 16", "b": "i + 20", "q": "b + 14", "g": "q + 14", "v": "g + 3", "r": "v + 3", "m": 4}, "premises": {"m": 4}, "target": "l"}, "answer": {"steps": [["x", "n + 3", "n + 15"], ["n", "f + 15", "f + 30"], ["f", "w + 4", "w + 34"], ["w", "a + 9", "a + 43"], ["a", "m + 18", "m + 61"], ["m", 4, "65"]], "target_var_name": "l", "target_value": 65, "value_dict": {"m": 4}, "is_reverse": true}} | 18,600 | 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 = n + 3; w = a + 9; a = m + 18; i = m + 16; n = f + 15; f = w + 4; l = x + 12; r = v + 3; g = q + 14; b = i + 20; m = 4; q = b + 14; v = g + 3. If m = 4, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = n + 3 to l, which gives l = n + 15.\n2. Substitute n = f + 15 to l, which gives l = f + 30.\n3. Substitute f = w + 4 to l, which gives l = w + 34.\n4. Substitute w = a + 9 to l, which gives l = a + 43.\n5. Substitute a = m + 18 to l, which gives l = m + 61.\n6. Substitute m = 4 to l, which gives l = 65.\n\nThus, the final answer is l = \\boxed{65}.",
"index": 18600,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 3; w = a + 9; a = m + 18; i = m + 16; n = f + 15; f = w + 4; l = x + 12; r = v + 3; g = q + 14; b = i + 20; m = 4; q = b + 14; v = g + 3. If m = 4, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 1", "k": "d + 12", "j": "k + 13", "w": "j + 9", "c": "w + 10", "x": "c + 3", "e": "o + 4", "n": "e + 20", "z": "n + 3", "a": "z + 14", "y": "a + 1", "f": "y + 4", "o": 2}, "premises": {"o": 2}, "target": "x"}, "answer": {"steps": [["c", "w + 10", "w + 13"], ["w", "j + 9", "j + 22"], ["j", "k + 13", "k + 35"], ["k", "d + 12", "d + 47"], ["d", "o + 1", "o + 48"], ["o", 2, "50"]], "target_var_name": "x", "target_value": 50, "value_dict": {"o": 2}, "is_reverse": true}} | 18,601 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 3; c = w + 10; d = o + 1; n = e + 20; j = k + 13; y = a + 1; a = z + 14; f = y + 4; o = 2; w = j + 9; k = d + 12; e = o + 4; z = n + 3. Given that o = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 10 to x, which gives x = w + 13.\n2. Substitute w = j + 9 to x, which gives x = j + 22.\n3. Substitute j = k + 13 to x, which gives x = k + 35.\n4. Substitute k = d + 12 to x, which gives x = d + 47.\n5. Substitute d = o + 1 to x, which gives x = o + 48.\n6. Substitute o = 2 to x, which gives x = 50.\n\nThus, the final answer is x = \\boxed{50}.",
"index": 18601,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 3; c = w + 10; d = o + 1; n = e + 20; j = k + 13; y = a + 1; a = z + 14; f = y + 4; o = 2; w = j + 9; k = d + 12; e = o + 4; z = n + 3. Given that o = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"d": "f + 9", "k": "d + 3", "t": "k + 17", "u": "t + 11", "s": "u + 20", "e": "s + 8", "p": "f + 14", "y": "p + 20", "n": "y + 19", "a": "n + 13", "i": "a + 7", "m": "i + 5", "f": 4}, "premises": {"f": 4}, "target": "e"}, "answer": {"steps": [["s", "u + 20", "u + 28"], ["u", "t + 11", "t + 39"], ["t", "k + 17", "k + 56"], ["k", "d + 3", "d + 59"], ["d", "f + 9", "f + 68"], ["f", 4, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"f": 4}, "is_reverse": true}} | 18,602 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 5; n = y + 19; t = k + 17; d = f + 9; u = t + 11; k = d + 3; e = s + 8; p = f + 14; i = a + 7; f = 4; a = n + 13; y = p + 20; s = u + 20. Given that f = 4, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = u + 20 to e, which gives e = u + 28.\n2. Substitute u = t + 11 to e, which gives e = t + 39.\n3. Substitute t = k + 17 to e, which gives e = k + 56.\n4. Substitute k = d + 3 to e, which gives e = d + 59.\n5. Substitute d = f + 9 to e, which gives e = f + 68.\n6. Substitute f = 4 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 18602,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 5; n = y + 19; t = k + 17; d = f + 9; u = t + 11; k = d + 3; e = s + 8; p = f + 14; i = a + 7; f = 4; a = n + 13; y = p + 20; s = u + 20. Given that f = 4, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"w": "l + 16", "n": "w + 1", "g": "n + 12", "u": "g + 11", "m": "u + 9", "h": "m + 2", "i": "l + 10", "q": "i + 10", "e": "q + 15", "c": "e + 7", "b": "c + 16", "k": "b + 15", "l": 14}, "premises": {"l": 14}, "target": "h"}, "answer": {"steps": [["m", "u + 9", "u + 11"], ["u", "g + 11", "g + 22"], ["g", "n + 12", "n + 34"], ["n", "w + 1", "w + 35"], ["w", "l + 16", "l + 51"], ["l", 14, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"l": 14}, "is_reverse": true}} | 18,603 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 2; i = l + 10; q = i + 10; c = e + 7; e = q + 15; u = g + 11; l = 14; w = l + 16; n = w + 1; k = b + 15; g = n + 12; m = u + 9; b = c + 16. If l = 14, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = u + 9 to h, which gives h = u + 11.\n2. Substitute u = g + 11 to h, which gives h = g + 22.\n3. Substitute g = n + 12 to h, which gives h = n + 34.\n4. Substitute n = w + 1 to h, which gives h = w + 35.\n5. Substitute w = l + 16 to h, which gives h = l + 51.\n6. Substitute l = 14 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 18603,
"question": "Consider a system of variables where each variable is defined as follows: h = m + 2; i = l + 10; q = i + 10; c = e + 7; e = q + 15; u = g + 11; l = 14; w = l + 16; n = w + 1; k = b + 15; g = n + 12; m = u + 9; b = c + 16. If l = 14, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 11", "p": "i + 4", "h": "p + 7", "v": "h + 1", "j": "v + 5", "b": "j + 2", "z": "u + 2", "y": "z + 20", "c": "y + 3", "f": "c + 6", "w": "f + 16", "d": "w + 7", "u": 18}, "premises": {"u": 18}, "target": "b"}, "answer": {"steps": [["j", "v + 5", "v + 7"], ["v", "h + 1", "h + 8"], ["h", "p + 7", "p + 15"], ["p", "i + 4", "i + 19"], ["i", "u + 11", "u + 30"], ["u", 18, "48"]], "target_var_name": "b", "target_value": 48, "value_dict": {"u": 18}, "is_reverse": true}} | 18,604 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 11; w = f + 16; b = j + 2; p = i + 4; y = z + 20; v = h + 1; f = c + 6; c = y + 3; j = v + 5; h = p + 7; u = 18; z = u + 2; d = w + 7. If u = 18, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to b, which gives b = v + 7.\n2. Substitute v = h + 1 to b, which gives b = h + 8.\n3. Substitute h = p + 7 to b, which gives b = p + 15.\n4. Substitute p = i + 4 to b, which gives b = i + 19.\n5. Substitute i = u + 11 to b, which gives b = u + 30.\n6. Substitute u = 18 to b, which gives b = 48.\n\nThus, the final answer is b = \\boxed{48}.",
"index": 18604,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 11; w = f + 16; b = j + 2; p = i + 4; y = z + 20; v = h + 1; f = c + 6; c = y + 3; j = v + 5; h = p + 7; u = 18; z = u + 2; d = w + 7. If u = 18, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "n + 20", "d": "z + 5", "b": "d + 15", "o": "b + 5", "w": "o + 2", "u": "w + 19", "y": "n + 16", "t": "y + 7", "s": "t + 3", "c": "s + 18", "a": "c + 5", "p": "a + 17", "n": 2}, "premises": {"n": 2}, "target": "u"}, "answer": {"steps": [["w", "o + 2", "o + 21"], ["o", "b + 5", "b + 26"], ["b", "d + 15", "d + 41"], ["d", "z + 5", "z + 46"], ["z", "n + 20", "n + 66"], ["n", 2, "68"]], "target_var_name": "u", "target_value": 68, "value_dict": {"n": 2}, "is_reverse": true}} | 18,605 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = z + 5; y = n + 16; n = 2; a = c + 5; o = b + 5; t = y + 7; z = n + 20; s = t + 3; c = s + 18; p = a + 17; w = o + 2; b = d + 15; u = w + 19. If n = 2, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 2 to u, which gives u = o + 21.\n2. Substitute o = b + 5 to u, which gives u = b + 26.\n3. Substitute b = d + 15 to u, which gives u = d + 41.\n4. Substitute d = z + 5 to u, which gives u = z + 46.\n5. Substitute z = n + 20 to u, which gives u = n + 66.\n6. Substitute n = 2 to u, which gives u = 68.\n\nThus, the final answer is u = \\boxed{68}.",
"index": 18605,
"question": "Consider a system of variables where each variable is defined as follows: d = z + 5; y = n + 16; n = 2; a = c + 5; o = b + 5; t = y + 7; z = n + 20; s = t + 3; c = s + 18; p = a + 17; w = o + 2; b = d + 15; u = w + 19. If n = 2, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "h + 2", "s": "b + 6", "n": "s + 1", "p": "n + 20", "x": "p + 15", "m": "x + 2", "t": "h + 14", "z": "t + 4", "c": "z + 4", "r": "c + 3", "l": "r + 20", "f": "l + 8", "h": 2}, "premises": {"h": 2}, "target": "m"}, "answer": {"steps": [["x", "p + 15", "p + 17"], ["p", "n + 20", "n + 37"], ["n", "s + 1", "s + 38"], ["s", "b + 6", "b + 44"], ["b", "h + 2", "h + 46"], ["h", 2, "48"]], "target_var_name": "m", "target_value": 48, "value_dict": {"h": 2}, "is_reverse": true}} | 18,606 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = p + 15; c = z + 4; r = c + 3; s = b + 6; t = h + 14; m = x + 2; l = r + 20; f = l + 8; h = 2; p = n + 20; b = h + 2; n = s + 1; z = t + 4. If h = 2, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 15 to m, which gives m = p + 17.\n2. Substitute p = n + 20 to m, which gives m = n + 37.\n3. Substitute n = s + 1 to m, which gives m = s + 38.\n4. Substitute s = b + 6 to m, which gives m = b + 44.\n5. Substitute b = h + 2 to m, which gives m = h + 46.\n6. Substitute h = 2 to m, which gives m = 48.\n\nThus, the final answer is m = \\boxed{48}.",
"index": 18606,
"question": "Consider a system of variables where each variable is defined as follows: x = p + 15; c = z + 4; r = c + 3; s = b + 6; t = h + 14; m = x + 2; l = r + 20; f = l + 8; h = 2; p = n + 20; b = h + 2; n = s + 1; z = t + 4. If h = 2, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "x + 17", "p": "w + 20", "h": "p + 6", "y": "h + 18", "g": "y + 3", "u": "g + 7", "d": "x + 2", "n": "d + 17", "e": "n + 7", "b": "e + 7", "c": "b + 8", "a": "c + 9", "x": 11}, "premises": {"x": 11}, "target": "u"}, "answer": {"steps": [["g", "y + 3", "y + 10"], ["y", "h + 18", "h + 28"], ["h", "p + 6", "p + 34"], ["p", "w + 20", "w + 54"], ["w", "x + 17", "x + 71"], ["x", 11, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"x": 11}, "is_reverse": true}} | 18,607 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = g + 7; d = x + 2; b = e + 7; n = d + 17; e = n + 7; h = p + 6; c = b + 8; g = y + 3; a = c + 9; w = x + 17; y = h + 18; p = w + 20; x = 11. If x = 11, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 3 to u, which gives u = y + 10.\n2. Substitute y = h + 18 to u, which gives u = h + 28.\n3. Substitute h = p + 6 to u, which gives u = p + 34.\n4. Substitute p = w + 20 to u, which gives u = w + 54.\n5. Substitute w = x + 17 to u, which gives u = x + 71.\n6. Substitute x = 11 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 18607,
"question": "Consider a system of variables where each variable is defined as follows: u = g + 7; d = x + 2; b = e + 7; n = d + 17; e = n + 7; h = p + 6; c = b + 8; g = y + 3; a = c + 9; w = x + 17; y = h + 18; p = w + 20; x = 11. If x = 11, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 14", "c": "p + 4", "n": "c + 2", "k": "n + 17", "y": "k + 16", "u": "y + 12", "t": "m + 14", "h": "t + 6", "v": "h + 1", "z": "v + 14", "d": "z + 2", "a": "d + 10", "m": 15}, "premises": {"m": 15}, "target": "u"}, "answer": {"steps": [["y", "k + 16", "k + 28"], ["k", "n + 17", "n + 45"], ["n", "c + 2", "c + 47"], ["c", "p + 4", "p + 51"], ["p", "m + 14", "m + 65"], ["m", 15, "80"]], "target_var_name": "u", "target_value": 80, "value_dict": {"m": 15}, "is_reverse": true}} | 18,608 | 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 = k + 16; t = m + 14; n = c + 2; p = m + 14; u = y + 12; v = h + 1; d = z + 2; k = n + 17; m = 15; h = t + 6; c = p + 4; a = d + 10; z = v + 14. If m = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 16 to u, which gives u = k + 28.\n2. Substitute k = n + 17 to u, which gives u = n + 45.\n3. Substitute n = c + 2 to u, which gives u = c + 47.\n4. Substitute c = p + 4 to u, which gives u = p + 51.\n5. Substitute p = m + 14 to u, which gives u = m + 65.\n6. Substitute m = 15 to u, which gives u = 80.\n\nThus, the final answer is u = \\boxed{80}.",
"index": 18608,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = k + 16; t = m + 14; n = c + 2; p = m + 14; u = y + 12; v = h + 1; d = z + 2; k = n + 17; m = 15; h = t + 6; c = p + 4; a = d + 10; z = v + 14. If m = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 19", "e": "b + 19", "l": "e + 13", "o": "l + 20", "h": "o + 17", "a": "h + 4", "m": "j + 7", "z": "m + 2", "c": "z + 1", "d": "c + 18", "g": "d + 18", "u": "g + 18", "j": 18}, "premises": {"j": 18}, "target": "a"}, "answer": {"steps": [["h", "o + 17", "o + 21"], ["o", "l + 20", "l + 41"], ["l", "e + 13", "e + 54"], ["e", "b + 19", "b + 73"], ["b", "j + 19", "j + 92"], ["j", 18, "110"]], "target_var_name": "a", "target_value": 110, "value_dict": {"j": 18}, "is_reverse": true}} | 18,609 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 19; u = g + 18; a = h + 4; c = z + 1; l = e + 13; d = c + 18; j = 18; h = o + 17; o = l + 20; z = m + 2; g = d + 18; e = b + 19; m = j + 7. If j = 18, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 17 to a, which gives a = o + 21.\n2. Substitute o = l + 20 to a, which gives a = l + 41.\n3. Substitute l = e + 13 to a, which gives a = e + 54.\n4. Substitute e = b + 19 to a, which gives a = b + 73.\n5. Substitute b = j + 19 to a, which gives a = j + 92.\n6. Substitute j = 18 to a, which gives a = 110.\n\nThus, the final answer is a = \\boxed{110}.",
"index": 18609,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 19; u = g + 18; a = h + 4; c = z + 1; l = e + 13; d = c + 18; j = 18; h = o + 17; o = l + 20; z = m + 2; g = d + 18; e = b + 19; m = j + 7. If j = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "u + 20", "p": "i + 4", "y": "p + 4", "v": "y + 9", "s": "v + 17", "t": "s + 10", "n": "u + 1", "m": "n + 7", "h": "m + 4", "l": "h + 18", "a": "l + 16", "b": "a + 18", "u": 15}, "premises": {"u": 15}, "target": "t"}, "answer": {"steps": [["s", "v + 17", "v + 27"], ["v", "y + 9", "y + 36"], ["y", "p + 4", "p + 40"], ["p", "i + 4", "i + 44"], ["i", "u + 20", "u + 64"], ["u", 15, "79"]], "target_var_name": "t", "target_value": 79, "value_dict": {"u": 15}, "is_reverse": true}} | 18,610 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = m + 4; i = u + 20; m = n + 7; t = s + 10; a = l + 16; l = h + 18; p = i + 4; n = u + 1; b = a + 18; s = v + 17; u = 15; y = p + 4; v = y + 9. If u = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = v + 17 to t, which gives t = v + 27.\n2. Substitute v = y + 9 to t, which gives t = y + 36.\n3. Substitute y = p + 4 to t, which gives t = p + 40.\n4. Substitute p = i + 4 to t, which gives t = i + 44.\n5. Substitute i = u + 20 to t, which gives t = u + 64.\n6. Substitute u = 15 to t, which gives t = 79.\n\nThus, the final answer is t = \\boxed{79}.",
"index": 18610,
"question": "Consider a system of variables where each variable is defined as follows: h = m + 4; i = u + 20; m = n + 7; t = s + 10; a = l + 16; l = h + 18; p = i + 4; n = u + 1; b = a + 18; s = v + 17; u = 15; y = p + 4; v = y + 9. If u = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 16", "g": "z + 15", "v": "g + 16", "w": "v + 18", "x": "w + 6", "c": "x + 8", "m": "i + 2", "s": "m + 10", "a": "s + 3", "r": "a + 6", "d": "r + 19", "l": "d + 15", "i": 6}, "premises": {"i": 6}, "target": "c"}, "answer": {"steps": [["x", "w + 6", "w + 14"], ["w", "v + 18", "v + 32"], ["v", "g + 16", "g + 48"], ["g", "z + 15", "z + 63"], ["z", "i + 16", "i + 79"], ["i", 6, "85"]], "target_var_name": "c", "target_value": 85, "value_dict": {"i": 6}, "is_reverse": true}} | 18,611 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = x + 8; w = v + 18; r = a + 6; i = 6; z = i + 16; v = g + 16; s = m + 10; x = w + 6; d = r + 19; g = z + 15; a = s + 3; l = d + 15; m = i + 2. If i = 6, 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 x = w + 6 to c, which gives c = w + 14.\n2. Substitute w = v + 18 to c, which gives c = v + 32.\n3. Substitute v = g + 16 to c, which gives c = g + 48.\n4. Substitute g = z + 15 to c, which gives c = z + 63.\n5. Substitute z = i + 16 to c, which gives c = i + 79.\n6. Substitute i = 6 to c, which gives c = 85.\n\nThus, the final answer is c = \\boxed{85}.",
"index": 18611,
"question": "Consider a system of variables where each variable is defined as follows: c = x + 8; w = v + 18; r = a + 6; i = 6; z = i + 16; v = g + 16; s = m + 10; x = w + 6; d = r + 19; g = z + 15; a = s + 3; l = d + 15; m = i + 2. If i = 6, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 18", "o": "m + 1", "s": "o + 3", "j": "s + 14", "l": "j + 18", "b": "l + 20", "r": "w + 9", "h": "r + 7", "a": "h + 6", "k": "a + 10", "p": "k + 16", "v": "p + 10", "w": 16}, "premises": {"w": 16}, "target": "b"}, "answer": {"steps": [["l", "j + 18", "j + 38"], ["j", "s + 14", "s + 52"], ["s", "o + 3", "o + 55"], ["o", "m + 1", "m + 56"], ["m", "w + 18", "w + 74"], ["w", 16, "90"]], "target_var_name": "b", "target_value": 90, "value_dict": {"w": 16}, "is_reverse": true}} | 18,612 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = r + 7; m = w + 18; v = p + 10; l = j + 18; j = s + 14; p = k + 16; w = 16; b = l + 20; a = h + 6; s = o + 3; r = w + 9; k = a + 10; o = m + 1. Given that w = 16, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 18 to b, which gives b = j + 38.\n2. Substitute j = s + 14 to b, which gives b = s + 52.\n3. Substitute s = o + 3 to b, which gives b = o + 55.\n4. Substitute o = m + 1 to b, which gives b = m + 56.\n5. Substitute m = w + 18 to b, which gives b = w + 74.\n6. Substitute w = 16 to b, which gives b = 90.\n\nThus, the final answer is b = \\boxed{90}.",
"index": 18612,
"question": "Suppose a collection of variables is related by the following definitions: h = r + 7; m = w + 18; v = p + 10; l = j + 18; j = s + 14; p = k + 16; w = 16; b = l + 20; a = h + 6; s = o + 3; r = w + 9; k = a + 10; o = m + 1. Given that w = 16, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 16", "k": "f + 2", "s": "k + 14", "r": "s + 12", "t": "r + 12", "v": "t + 1", "q": "i + 13", "u": "q + 4", "x": "u + 7", "e": "x + 7", "y": "e + 9", "d": "y + 19", "i": 14}, "premises": {"i": 14}, "target": "v"}, "answer": {"steps": [["t", "r + 12", "r + 13"], ["r", "s + 12", "s + 25"], ["s", "k + 14", "k + 39"], ["k", "f + 2", "f + 41"], ["f", "i + 16", "i + 57"], ["i", 14, "71"]], "target_var_name": "v", "target_value": 71, "value_dict": {"i": 14}, "is_reverse": true}} | 18,613 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = x + 7; y = e + 9; u = q + 4; d = y + 19; r = s + 12; v = t + 1; t = r + 12; x = u + 7; s = k + 14; i = 14; k = f + 2; q = i + 13; f = i + 16. Given that i = 14, find the 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 t = r + 12 to v, which gives v = r + 13.\n2. Substitute r = s + 12 to v, which gives v = s + 25.\n3. Substitute s = k + 14 to v, which gives v = k + 39.\n4. Substitute k = f + 2 to v, which gives v = f + 41.\n5. Substitute f = i + 16 to v, which gives v = i + 57.\n6. Substitute i = 14 to v, which gives v = 71.\n\nThus, the final answer is v = \\boxed{71}.",
"index": 18613,
"question": "Suppose a collection of variables is related by the following definitions: e = x + 7; y = e + 9; u = q + 4; d = y + 19; r = s + 12; v = t + 1; t = r + 12; x = u + 7; s = k + 14; i = 14; k = f + 2; q = i + 13; f = i + 16. Given that i = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "r + 19", "b": "o + 5", "y": "b + 11", "d": "y + 2", "i": "d + 12", "u": "i + 14", "m": "r + 13", "a": "m + 14", "t": "a + 4", "p": "t + 2", "z": "p + 9", "n": "z + 16", "r": 15}, "premises": {"r": 15}, "target": "u"}, "answer": {"steps": [["i", "d + 12", "d + 26"], ["d", "y + 2", "y + 28"], ["y", "b + 11", "b + 39"], ["b", "o + 5", "o + 44"], ["o", "r + 19", "r + 63"], ["r", 15, "78"]], "target_var_name": "u", "target_value": 78, "value_dict": {"r": 15}, "is_reverse": true}} | 18,614 | 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 + 11; u = i + 14; d = y + 2; p = t + 2; a = m + 14; o = r + 19; m = r + 13; r = 15; n = z + 16; i = d + 12; z = p + 9; t = a + 4; b = o + 5. If r = 15, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 12 to u, which gives u = d + 26.\n2. Substitute d = y + 2 to u, which gives u = y + 28.\n3. Substitute y = b + 11 to u, which gives u = b + 39.\n4. Substitute b = o + 5 to u, which gives u = o + 44.\n5. Substitute o = r + 19 to u, which gives u = r + 63.\n6. Substitute r = 15 to u, which gives u = 78.\n\nThus, the final answer is u = \\boxed{78}.",
"index": 18614,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 11; u = i + 14; d = y + 2; p = t + 2; a = m + 14; o = r + 19; m = r + 13; r = 15; n = z + 16; i = d + 12; z = p + 9; t = a + 4; b = o + 5. If r = 15, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"p": "h + 3", "f": "p + 8", "o": "f + 5", "k": "o + 20", "y": "k + 13", "g": "y + 11", "s": "h + 7", "x": "s + 6", "e": "x + 5", "a": "e + 19", "t": "a + 19", "d": "t + 9", "h": 6}, "premises": {"h": 6}, "target": "g"}, "answer": {"steps": [["y", "k + 13", "k + 24"], ["k", "o + 20", "o + 44"], ["o", "f + 5", "f + 49"], ["f", "p + 8", "p + 57"], ["p", "h + 3", "h + 60"], ["h", 6, "66"]], "target_var_name": "g", "target_value": 66, "value_dict": {"h": 6}, "is_reverse": true}} | 18,615 | 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 = e + 19; f = p + 8; t = a + 19; o = f + 5; x = s + 6; y = k + 13; p = h + 3; s = h + 7; e = x + 5; g = y + 11; k = o + 20; d = t + 9; h = 6. If h = 6, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 13 to g, which gives g = k + 24.\n2. Substitute k = o + 20 to g, which gives g = o + 44.\n3. Substitute o = f + 5 to g, which gives g = f + 49.\n4. Substitute f = p + 8 to g, which gives g = p + 57.\n5. Substitute p = h + 3 to g, which gives g = h + 60.\n6. Substitute h = 6 to g, which gives g = 66.\n\nThus, the final answer is g = \\boxed{66}.",
"index": 18615,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 19; f = p + 8; t = a + 19; o = f + 5; x = s + 6; y = k + 13; p = h + 3; s = h + 7; e = x + 5; g = y + 11; k = o + 20; d = t + 9; h = 6. If h = 6, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"i": "j + 20", "q": "i + 11", "p": "q + 19", "y": "p + 16", "g": "y + 10", "b": "g + 14", "o": "j + 16", "u": "o + 18", "z": "u + 9", "x": "z + 20", "e": "x + 20", "r": "e + 18", "j": 4}, "premises": {"j": 4}, "target": "b"}, "answer": {"steps": [["g", "y + 10", "y + 24"], ["y", "p + 16", "p + 40"], ["p", "q + 19", "q + 59"], ["q", "i + 11", "i + 70"], ["i", "j + 20", "j + 90"], ["j", 4, "94"]], "target_var_name": "b", "target_value": 94, "value_dict": {"j": 4}, "is_reverse": true}} | 18,616 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = 4; b = g + 14; p = q + 19; x = z + 20; o = j + 16; e = x + 20; z = u + 9; i = j + 20; q = i + 11; u = o + 18; g = y + 10; r = e + 18; y = p + 16. If j = 4, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 10 to b, which gives b = y + 24.\n2. Substitute y = p + 16 to b, which gives b = p + 40.\n3. Substitute p = q + 19 to b, which gives b = q + 59.\n4. Substitute q = i + 11 to b, which gives b = i + 70.\n5. Substitute i = j + 20 to b, which gives b = j + 90.\n6. Substitute j = 4 to b, which gives b = 94.\n\nThus, the final answer is b = \\boxed{94}.",
"index": 18616,
"question": "Consider a system of variables where each variable is defined as follows: j = 4; b = g + 14; p = q + 19; x = z + 20; o = j + 16; e = x + 20; z = u + 9; i = j + 20; q = i + 11; u = o + 18; g = y + 10; r = e + 18; y = p + 16. If j = 4, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "p + 11", "u": "v + 20", "m": "u + 13", "a": "m + 18", "s": "a + 13", "h": "s + 8", "f": "p + 8", "l": "f + 10", "t": "l + 8", "y": "t + 10", "i": "y + 11", "n": "i + 12", "p": 15}, "premises": {"p": 15}, "target": "h"}, "answer": {"steps": [["s", "a + 13", "a + 21"], ["a", "m + 18", "m + 39"], ["m", "u + 13", "u + 52"], ["u", "v + 20", "v + 72"], ["v", "p + 11", "p + 83"], ["p", 15, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"p": 15}, "is_reverse": true}} | 18,617 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 10; h = s + 8; y = t + 10; p = 15; s = a + 13; n = i + 12; f = p + 8; t = l + 8; a = m + 18; i = y + 11; v = p + 11; u = v + 20; m = u + 13. Given that p = 15, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 13 to h, which gives h = a + 21.\n2. Substitute a = m + 18 to h, which gives h = m + 39.\n3. Substitute m = u + 13 to h, which gives h = u + 52.\n4. Substitute u = v + 20 to h, which gives h = v + 72.\n5. Substitute v = p + 11 to h, which gives h = p + 83.\n6. Substitute p = 15 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 18617,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 10; h = s + 8; y = t + 10; p = 15; s = a + 13; n = i + 12; f = p + 8; t = l + 8; a = m + 18; i = y + 11; v = p + 11; u = v + 20; m = u + 13. Given that p = 15, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 13", "r": "s + 3", "b": "r + 2", "c": "b + 10", "o": "c + 10", "d": "o + 7", "g": "t + 3", "w": "g + 17", "i": "w + 15", "q": "i + 4", "z": "q + 6", "h": "z + 19", "t": 8}, "premises": {"t": 8}, "target": "d"}, "answer": {"steps": [["o", "c + 10", "c + 17"], ["c", "b + 10", "b + 27"], ["b", "r + 2", "r + 29"], ["r", "s + 3", "s + 32"], ["s", "t + 13", "t + 45"], ["t", 8, "53"]], "target_var_name": "d", "target_value": 53, "value_dict": {"t": 8}, "is_reverse": true}} | 18,618 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = t + 13; b = r + 2; o = c + 10; w = g + 17; g = t + 3; q = i + 4; i = w + 15; r = s + 3; t = 8; h = z + 19; z = q + 6; d = o + 7; c = b + 10. If t = 8, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 10 to d, which gives d = c + 17.\n2. Substitute c = b + 10 to d, which gives d = b + 27.\n3. Substitute b = r + 2 to d, which gives d = r + 29.\n4. Substitute r = s + 3 to d, which gives d = s + 32.\n5. Substitute s = t + 13 to d, which gives d = t + 45.\n6. Substitute t = 8 to d, which gives d = 53.\n\nThus, the final answer is d = \\boxed{53}.",
"index": 18618,
"question": "Consider a system of variables where each variable is defined as follows: s = t + 13; b = r + 2; o = c + 10; w = g + 17; g = t + 3; q = i + 4; i = w + 15; r = s + 3; t = 8; h = z + 19; z = q + 6; d = o + 7; c = b + 10. If t = 8, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"z": "t + 3", "d": "z + 16", "f": "d + 14", "x": "f + 12", "h": "x + 7", "c": "h + 2", "y": "t + 10", "u": "y + 11", "b": "u + 20", "n": "b + 1", "v": "n + 14", "r": "v + 13", "t": 14}, "premises": {"t": 14}, "target": "c"}, "answer": {"steps": [["h", "x + 7", "x + 9"], ["x", "f + 12", "f + 21"], ["f", "d + 14", "d + 35"], ["d", "z + 16", "z + 51"], ["z", "t + 3", "t + 54"], ["t", 14, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"t": 14}, "is_reverse": true}} | 18,619 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = b + 1; b = u + 20; r = v + 13; h = x + 7; f = d + 14; u = y + 11; v = n + 14; d = z + 16; c = h + 2; y = t + 10; x = f + 12; t = 14; z = t + 3. If t = 14, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = x + 7 to c, which gives c = x + 9.\n2. Substitute x = f + 12 to c, which gives c = f + 21.\n3. Substitute f = d + 14 to c, which gives c = d + 35.\n4. Substitute d = z + 16 to c, which gives c = z + 51.\n5. Substitute z = t + 3 to c, which gives c = t + 54.\n6. Substitute t = 14 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 18619,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 1; b = u + 20; r = v + 13; h = x + 7; f = d + 14; u = y + 11; v = n + 14; d = z + 16; c = h + 2; y = t + 10; x = f + 12; t = 14; z = t + 3. If t = 14, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "x + 20", "l": "i + 15", "u": "l + 12", "z": "u + 2", "k": "z + 17", "s": "k + 6", "w": "x + 16", "v": "w + 4", "f": "v + 17", "t": "f + 3", "j": "t + 4", "d": "j + 18", "x": 12}, "premises": {"x": 12}, "target": "s"}, "answer": {"steps": [["k", "z + 17", "z + 23"], ["z", "u + 2", "u + 25"], ["u", "l + 12", "l + 37"], ["l", "i + 15", "i + 52"], ["i", "x + 20", "x + 72"], ["x", 12, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"x": 12}, "is_reverse": true}} | 18,620 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = 12; t = f + 3; k = z + 17; l = i + 15; v = w + 4; s = k + 6; u = l + 12; d = j + 18; f = v + 17; i = x + 20; w = x + 16; z = u + 2; j = t + 4. Given that x = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = z + 17 to s, which gives s = z + 23.\n2. Substitute z = u + 2 to s, which gives s = u + 25.\n3. Substitute u = l + 12 to s, which gives s = l + 37.\n4. Substitute l = i + 15 to s, which gives s = i + 52.\n5. Substitute i = x + 20 to s, which gives s = x + 72.\n6. Substitute x = 12 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 18620,
"question": "Suppose a collection of variables is related by the following definitions: x = 12; t = f + 3; k = z + 17; l = i + 15; v = w + 4; s = k + 6; u = l + 12; d = j + 18; f = v + 17; i = x + 20; w = x + 16; z = u + 2; j = t + 4. Given that x = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "d + 15", "s": "r + 17", "l": "s + 4", "p": "l + 9", "n": "p + 5", "e": "n + 12", "y": "d + 17", "m": "y + 9", "h": "m + 6", "g": "h + 15", "t": "g + 13", "w": "t + 10", "d": 3}, "premises": {"d": 3}, "target": "e"}, "answer": {"steps": [["n", "p + 5", "p + 17"], ["p", "l + 9", "l + 26"], ["l", "s + 4", "s + 30"], ["s", "r + 17", "r + 47"], ["r", "d + 15", "d + 62"], ["d", 3, "65"]], "target_var_name": "e", "target_value": 65, "value_dict": {"d": 3}, "is_reverse": true}} | 18,621 | 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 = r + 17; r = d + 15; n = p + 5; w = t + 10; e = n + 12; y = d + 17; h = m + 6; l = s + 4; p = l + 9; g = h + 15; d = 3; m = y + 9; t = g + 13. If d = 3, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = p + 5 to e, which gives e = p + 17.\n2. Substitute p = l + 9 to e, which gives e = l + 26.\n3. Substitute l = s + 4 to e, which gives e = s + 30.\n4. Substitute s = r + 17 to e, which gives e = r + 47.\n5. Substitute r = d + 15 to e, which gives e = d + 62.\n6. Substitute d = 3 to e, which gives e = 65.\n\nThus, the final answer is e = \\boxed{65}.",
"index": 18621,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = r + 17; r = d + 15; n = p + 5; w = t + 10; e = n + 12; y = d + 17; h = m + 6; l = s + 4; p = l + 9; g = h + 15; d = 3; m = y + 9; t = g + 13. If d = 3, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 7", "n": "s + 7", "d": "n + 2", "a": "d + 2", "x": "a + 17", "k": "x + 9", "w": "j + 10", "q": "w + 18", "c": "q + 13", "r": "c + 4", "i": "r + 9", "g": "i + 6", "j": 5}, "premises": {"j": 5}, "target": "k"}, "answer": {"steps": [["x", "a + 17", "a + 26"], ["a", "d + 2", "d + 28"], ["d", "n + 2", "n + 30"], ["n", "s + 7", "s + 37"], ["s", "j + 7", "j + 44"], ["j", 5, "49"]], "target_var_name": "k", "target_value": 49, "value_dict": {"j": 5}, "is_reverse": true}} | 18,622 | 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 = n + 2; j = 5; n = s + 7; a = d + 2; k = x + 9; c = q + 13; x = a + 17; w = j + 10; g = i + 6; q = w + 18; r = c + 4; i = r + 9; s = j + 7. If j = 5, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = a + 17 to k, which gives k = a + 26.\n2. Substitute a = d + 2 to k, which gives k = d + 28.\n3. Substitute d = n + 2 to k, which gives k = n + 30.\n4. Substitute n = s + 7 to k, which gives k = s + 37.\n5. Substitute s = j + 7 to k, which gives k = j + 44.\n6. Substitute j = 5 to k, which gives k = 49.\n\nThus, the final answer is k = \\boxed{49}.",
"index": 18622,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = n + 2; j = 5; n = s + 7; a = d + 2; k = x + 9; c = q + 13; x = a + 17; w = j + 10; g = i + 6; q = w + 18; r = c + 4; i = r + 9; s = j + 7. If j = 5, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "i": "e + 20", "p": "i + 3", "r": "p + 8", "x": "r + 14", "n": "x + 18", "u": "s + 18", "d": "u + 10", "v": "d + 16", "z": "v + 3", "h": "z + 7", "m": "h + 20", "s": 4}, "premises": {"s": 4}, "target": "n"}, "answer": {"steps": [["x", "r + 14", "r + 32"], ["r", "p + 8", "p + 40"], ["p", "i + 3", "i + 43"], ["i", "e + 20", "e + 63"], ["e", "s + 3", "s + 66"], ["s", 4, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"s": 4}, "is_reverse": true}} | 18,623 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = p + 8; i = e + 20; x = r + 14; n = x + 18; s = 4; u = s + 18; p = i + 3; e = s + 3; v = d + 16; d = u + 10; h = z + 7; z = v + 3; m = h + 20. Given that s = 4, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = r + 14 to n, which gives n = r + 32.\n2. Substitute r = p + 8 to n, which gives n = p + 40.\n3. Substitute p = i + 3 to n, which gives n = i + 43.\n4. Substitute i = e + 20 to n, which gives n = e + 63.\n5. Substitute e = s + 3 to n, which gives n = s + 66.\n6. Substitute s = 4 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 18623,
"question": "Suppose a collection of variables is related by the following definitions: r = p + 8; i = e + 20; x = r + 14; n = x + 18; s = 4; u = s + 18; p = i + 3; e = s + 3; v = d + 16; d = u + 10; h = z + 7; z = v + 3; m = h + 20. Given that s = 4, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 19", "z": "i + 4", "t": "z + 12", "b": "t + 16", "v": "b + 15", "x": "v + 5", "y": "a + 20", "s": "y + 7", "q": "s + 17", "g": "q + 11", "w": "g + 13", "k": "w + 19", "a": 8}, "premises": {"a": 8}, "target": "x"}, "answer": {"steps": [["v", "b + 15", "b + 20"], ["b", "t + 16", "t + 36"], ["t", "z + 12", "z + 48"], ["z", "i + 4", "i + 52"], ["i", "a + 19", "a + 71"], ["a", 8, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"a": 8}, "is_reverse": true}} | 18,624 | 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 + 7; g = q + 11; w = g + 13; z = i + 4; a = 8; k = w + 19; y = a + 20; b = t + 16; v = b + 15; i = a + 19; x = v + 5; t = z + 12; q = s + 17. If a = 8, determine the 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 v = b + 15 to x, which gives x = b + 20.\n2. Substitute b = t + 16 to x, which gives x = t + 36.\n3. Substitute t = z + 12 to x, which gives x = z + 48.\n4. Substitute z = i + 4 to x, which gives x = i + 52.\n5. Substitute i = a + 19 to x, which gives x = a + 71.\n6. Substitute a = 8 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 18624,
"question": "Consider a system of variables where each variable is defined as follows: s = y + 7; g = q + 11; w = g + 13; z = i + 4; a = 8; k = w + 19; y = a + 20; b = t + 16; v = b + 15; i = a + 19; x = v + 5; t = z + 12; q = s + 17. If a = 8, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"u": "w + 7", "f": "u + 11", "s": "f + 1", "t": "s + 17", "g": "t + 6", "a": "g + 2", "k": "w + 15", "e": "k + 7", "z": "e + 9", "i": "z + 13", "h": "i + 13", "q": "h + 19", "w": 20}, "premises": {"w": 20}, "target": "a"}, "answer": {"steps": [["g", "t + 6", "t + 8"], ["t", "s + 17", "s + 25"], ["s", "f + 1", "f + 26"], ["f", "u + 11", "u + 37"], ["u", "w + 7", "w + 44"], ["w", 20, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"w": 20}, "is_reverse": true}} | 18,625 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = s + 17; w = 20; s = f + 1; q = h + 19; u = w + 7; f = u + 11; g = t + 6; k = w + 15; z = e + 9; i = z + 13; a = g + 2; e = k + 7; h = i + 13. Given that w = 20, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 6 to a, which gives a = t + 8.\n2. Substitute t = s + 17 to a, which gives a = s + 25.\n3. Substitute s = f + 1 to a, which gives a = f + 26.\n4. Substitute f = u + 11 to a, which gives a = u + 37.\n5. Substitute u = w + 7 to a, which gives a = w + 44.\n6. Substitute w = 20 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 18625,
"question": "Suppose a collection of variables is related by the following definitions: t = s + 17; w = 20; s = f + 1; q = h + 19; u = w + 7; f = u + 11; g = t + 6; k = w + 15; z = e + 9; i = z + 13; a = g + 2; e = k + 7; h = i + 13. Given that w = 20, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 3", "m": "d + 14", "k": "m + 1", "q": "k + 8", "v": "q + 2", "x": "v + 16", "u": "s + 6", "r": "u + 10", "f": "r + 18", "h": "f + 11", "a": "h + 15", "b": "a + 3", "s": 12}, "premises": {"s": 12}, "target": "x"}, "answer": {"steps": [["v", "q + 2", "q + 18"], ["q", "k + 8", "k + 26"], ["k", "m + 1", "m + 27"], ["m", "d + 14", "d + 41"], ["d", "s + 3", "s + 44"], ["s", 12, "56"]], "target_var_name": "x", "target_value": 56, "value_dict": {"s": 12}, "is_reverse": true}} | 18,626 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = v + 16; r = u + 10; h = f + 11; s = 12; a = h + 15; k = m + 1; v = q + 2; f = r + 18; b = a + 3; m = d + 14; u = s + 6; q = k + 8; d = s + 3. Given that s = 12, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 2 to x, which gives x = q + 18.\n2. Substitute q = k + 8 to x, which gives x = k + 26.\n3. Substitute k = m + 1 to x, which gives x = m + 27.\n4. Substitute m = d + 14 to x, which gives x = d + 41.\n5. Substitute d = s + 3 to x, which gives x = s + 44.\n6. Substitute s = 12 to x, which gives x = 56.\n\nThus, the final answer is x = \\boxed{56}.",
"index": 18626,
"question": "Suppose a collection of variables is related by the following definitions: x = v + 16; r = u + 10; h = f + 11; s = 12; a = h + 15; k = m + 1; v = q + 2; f = r + 18; b = a + 3; m = d + 14; u = s + 6; q = k + 8; d = s + 3. Given that s = 12, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "f + 18", "w": "h + 2", "l": "w + 12", "m": "l + 1", "k": "m + 8", "v": "k + 6", "d": "f + 6", "n": "d + 9", "x": "n + 6", "i": "x + 6", "s": "i + 19", "g": "s + 15", "f": 20}, "premises": {"f": 20}, "target": "v"}, "answer": {"steps": [["k", "m + 8", "m + 14"], ["m", "l + 1", "l + 15"], ["l", "w + 12", "w + 27"], ["w", "h + 2", "h + 29"], ["h", "f + 18", "f + 47"], ["f", 20, "67"]], "target_var_name": "v", "target_value": 67, "value_dict": {"f": 20}, "is_reverse": true}} | 18,627 | 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 = 20; d = f + 6; k = m + 8; v = k + 6; l = w + 12; h = f + 18; s = i + 19; i = x + 6; g = s + 15; m = l + 1; n = d + 9; x = n + 6; w = h + 2. If f = 20, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = m + 8 to v, which gives v = m + 14.\n2. Substitute m = l + 1 to v, which gives v = l + 15.\n3. Substitute l = w + 12 to v, which gives v = w + 27.\n4. Substitute w = h + 2 to v, which gives v = h + 29.\n5. Substitute h = f + 18 to v, which gives v = f + 47.\n6. Substitute f = 20 to v, which gives v = 67.\n\nThus, the final answer is v = \\boxed{67}.",
"index": 18627,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = 20; d = f + 6; k = m + 8; v = k + 6; l = w + 12; h = f + 18; s = i + 19; i = x + 6; g = s + 15; m = l + 1; n = d + 9; x = n + 6; w = h + 2. If f = 20, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 8", "g": "f + 2", "t": "g + 8", "v": "t + 4", "z": "v + 2", "d": "z + 10", "b": "n + 1", "u": "b + 17", "m": "u + 1", "k": "m + 14", "a": "k + 6", "i": "a + 11", "n": 5}, "premises": {"n": 5}, "target": "d"}, "answer": {"steps": [["z", "v + 2", "v + 12"], ["v", "t + 4", "t + 16"], ["t", "g + 8", "g + 24"], ["g", "f + 2", "f + 26"], ["f", "n + 8", "n + 34"], ["n", 5, "39"]], "target_var_name": "d", "target_value": 39, "value_dict": {"n": 5}, "is_reverse": true}} | 18,628 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = f + 2; k = m + 14; d = z + 10; v = t + 4; f = n + 8; a = k + 6; b = n + 1; i = a + 11; u = b + 17; n = 5; m = u + 1; t = g + 8; z = v + 2. If n = 5, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 39,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 2 to d, which gives d = v + 12.\n2. Substitute v = t + 4 to d, which gives d = t + 16.\n3. Substitute t = g + 8 to d, which gives d = g + 24.\n4. Substitute g = f + 2 to d, which gives d = f + 26.\n5. Substitute f = n + 8 to d, which gives d = n + 34.\n6. Substitute n = 5 to d, which gives d = 39.\n\nThus, the final answer is d = \\boxed{39}.",
"index": 18628,
"question": "Consider a system of variables where each variable is defined as follows: g = f + 2; k = m + 14; d = z + 10; v = t + 4; f = n + 8; a = k + 6; b = n + 1; i = a + 11; u = b + 17; n = 5; m = u + 1; t = g + 8; z = v + 2. If n = 5, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 12", "i": "t + 9", "n": "i + 18", "x": "n + 19", "p": "x + 4", "e": "p + 6", "s": "v + 18", "j": "s + 2", "l": "j + 19", "f": "l + 12", "m": "f + 11", "b": "m + 17", "v": 15}, "premises": {"v": 15}, "target": "e"}, "answer": {"steps": [["p", "x + 4", "x + 10"], ["x", "n + 19", "n + 29"], ["n", "i + 18", "i + 47"], ["i", "t + 9", "t + 56"], ["t", "v + 12", "v + 68"], ["v", 15, "83"]], "target_var_name": "e", "target_value": 83, "value_dict": {"v": 15}, "is_reverse": true}} | 18,629 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = v + 18; v = 15; m = f + 11; x = n + 19; i = t + 9; b = m + 17; e = p + 6; t = v + 12; l = j + 19; j = s + 2; n = i + 18; p = x + 4; f = l + 12. If v = 15, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 4 to e, which gives e = x + 10.\n2. Substitute x = n + 19 to e, which gives e = n + 29.\n3. Substitute n = i + 18 to e, which gives e = i + 47.\n4. Substitute i = t + 9 to e, which gives e = t + 56.\n5. Substitute t = v + 12 to e, which gives e = v + 68.\n6. Substitute v = 15 to e, which gives e = 83.\n\nThus, the final answer is e = \\boxed{83}.",
"index": 18629,
"question": "Consider a system of variables where each variable is defined as follows: s = v + 18; v = 15; m = f + 11; x = n + 19; i = t + 9; b = m + 17; e = p + 6; t = v + 12; l = j + 19; j = s + 2; n = i + 18; p = x + 4; f = l + 12. If v = 15, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 18", "v": "l + 13", "w": "v + 15", "n": "w + 10", "c": "n + 5", "a": "c + 12", "p": "b + 15", "g": "p + 13", "d": "g + 9", "r": "d + 6", "s": "r + 17", "f": "s + 14", "b": 12}, "premises": {"b": 12}, "target": "a"}, "answer": {"steps": [["c", "n + 5", "n + 17"], ["n", "w + 10", "w + 27"], ["w", "v + 15", "v + 42"], ["v", "l + 13", "l + 55"], ["l", "b + 18", "b + 73"], ["b", 12, "85"]], "target_var_name": "a", "target_value": 85, "value_dict": {"b": 12}, "is_reverse": true}} | 18,630 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = d + 6; s = r + 17; w = v + 15; a = c + 12; g = p + 13; f = s + 14; v = l + 13; b = 12; n = w + 10; c = n + 5; p = b + 15; d = g + 9; l = b + 18. If b = 12, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 5 to a, which gives a = n + 17.\n2. Substitute n = w + 10 to a, which gives a = w + 27.\n3. Substitute w = v + 15 to a, which gives a = v + 42.\n4. Substitute v = l + 13 to a, which gives a = l + 55.\n5. Substitute l = b + 18 to a, which gives a = b + 73.\n6. Substitute b = 12 to a, which gives a = 85.\n\nThus, the final answer is a = \\boxed{85}.",
"index": 18630,
"question": "Consider a system of variables where each variable is defined as follows: r = d + 6; s = r + 17; w = v + 15; a = c + 12; g = p + 13; f = s + 14; v = l + 13; b = 12; n = w + 10; c = n + 5; p = b + 15; d = g + 9; l = b + 18. If b = 12, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"f": "a + 6", "g": "f + 12", "o": "g + 1", "j": "o + 8", "i": "j + 3", "r": "i + 6", "c": "a + 20", "z": "c + 8", "s": "z + 14", "k": "s + 2", "v": "k + 13", "e": "v + 6", "a": 13}, "premises": {"a": 13}, "target": "r"}, "answer": {"steps": [["i", "j + 3", "j + 9"], ["j", "o + 8", "o + 17"], ["o", "g + 1", "g + 18"], ["g", "f + 12", "f + 30"], ["f", "a + 6", "a + 36"], ["a", 13, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"a": 13}, "is_reverse": true}} | 18,631 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 20; z = c + 8; a = 13; s = z + 14; g = f + 12; f = a + 6; e = v + 6; i = j + 3; o = g + 1; k = s + 2; r = i + 6; j = o + 8; v = k + 13. If a = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = j + 3 to r, which gives r = j + 9.\n2. Substitute j = o + 8 to r, which gives r = o + 17.\n3. Substitute o = g + 1 to r, which gives r = g + 18.\n4. Substitute g = f + 12 to r, which gives r = f + 30.\n5. Substitute f = a + 6 to r, which gives r = a + 36.\n6. Substitute a = 13 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 18631,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = a + 20; z = c + 8; a = 13; s = z + 14; g = f + 12; f = a + 6; e = v + 6; i = j + 3; o = g + 1; k = s + 2; r = i + 6; j = o + 8; v = k + 13. If a = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 3", "r": "m + 12", "v": "r + 15", "f": "v + 3", "b": "f + 10", "h": "b + 14", "w": "k + 16", "z": "w + 12", "q": "z + 3", "n": "q + 11", "s": "n + 3", "t": "s + 13", "k": 17}, "premises": {"k": 17}, "target": "h"}, "answer": {"steps": [["b", "f + 10", "f + 24"], ["f", "v + 3", "v + 27"], ["v", "r + 15", "r + 42"], ["r", "m + 12", "m + 54"], ["m", "k + 3", "k + 57"], ["k", 17, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"k": 17}, "is_reverse": true}} | 18,632 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 13; n = q + 11; s = n + 3; r = m + 12; w = k + 16; f = v + 3; q = z + 3; z = w + 12; v = r + 15; b = f + 10; k = 17; m = k + 3; h = b + 14. If k = 17, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 10 to h, which gives h = f + 24.\n2. Substitute f = v + 3 to h, which gives h = v + 27.\n3. Substitute v = r + 15 to h, which gives h = r + 42.\n4. Substitute r = m + 12 to h, which gives h = m + 54.\n5. Substitute m = k + 3 to h, which gives h = k + 57.\n6. Substitute k = 17 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 18632,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 13; n = q + 11; s = n + 3; r = m + 12; w = k + 16; f = v + 3; q = z + 3; z = w + 12; v = r + 15; b = f + 10; k = 17; m = k + 3; h = b + 14. If k = 17, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 15", "y": "i + 11", "t": "y + 9", "u": "t + 19", "j": "u + 3", "z": "j + 3", "b": "g + 11", "w": "b + 16", "q": "w + 19", "f": "q + 5", "d": "f + 13", "p": "d + 6", "g": 15}, "premises": {"g": 15}, "target": "z"}, "answer": {"steps": [["j", "u + 3", "u + 6"], ["u", "t + 19", "t + 25"], ["t", "y + 9", "y + 34"], ["y", "i + 11", "i + 45"], ["i", "g + 15", "g + 60"], ["g", 15, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"g": 15}, "is_reverse": true}} | 18,633 | 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 = j + 3; p = d + 6; d = f + 13; i = g + 15; w = b + 16; q = w + 19; g = 15; f = q + 5; u = t + 19; b = g + 11; y = i + 11; t = y + 9; j = u + 3. If g = 15, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 3 to z, which gives z = u + 6.\n2. Substitute u = t + 19 to z, which gives z = t + 25.\n3. Substitute t = y + 9 to z, which gives z = y + 34.\n4. Substitute y = i + 11 to z, which gives z = i + 45.\n5. Substitute i = g + 15 to z, which gives z = g + 60.\n6. Substitute g = 15 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 18633,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = j + 3; p = d + 6; d = f + 13; i = g + 15; w = b + 16; q = w + 19; g = 15; f = q + 5; u = t + 19; b = g + 11; y = i + 11; t = y + 9; j = u + 3. If g = 15, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 13", "y": "a + 10", "h": "y + 3", "o": "h + 12", "p": "o + 4", "k": "p + 3", "q": "z + 14", "r": "q + 20", "l": "r + 16", "b": "l + 9", "x": "b + 1", "t": "x + 13", "z": 12}, "premises": {"z": 12}, "target": "k"}, "answer": {"steps": [["p", "o + 4", "o + 7"], ["o", "h + 12", "h + 19"], ["h", "y + 3", "y + 22"], ["y", "a + 10", "a + 32"], ["a", "z + 13", "z + 45"], ["z", 12, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"z": 12}, "is_reverse": true}} | 18,634 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = a + 10; x = b + 1; b = l + 9; q = z + 14; r = q + 20; z = 12; a = z + 13; h = y + 3; k = p + 3; o = h + 12; t = x + 13; l = r + 16; p = o + 4. If z = 12, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 4 to k, which gives k = o + 7.\n2. Substitute o = h + 12 to k, which gives k = h + 19.\n3. Substitute h = y + 3 to k, which gives k = y + 22.\n4. Substitute y = a + 10 to k, which gives k = a + 32.\n5. Substitute a = z + 13 to k, which gives k = z + 45.\n6. Substitute z = 12 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 18634,
"question": "Consider a system of variables where each variable is defined as follows: y = a + 10; x = b + 1; b = l + 9; q = z + 14; r = q + 20; z = 12; a = z + 13; h = y + 3; k = p + 3; o = h + 12; t = x + 13; l = r + 16; p = o + 4. If z = 12, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"b": "t + 5", "h": "b + 19", "j": "h + 10", "m": "j + 16", "u": "m + 5", "q": "u + 18", "c": "t + 10", "w": "c + 15", "y": "w + 8", "v": "y + 14", "z": "v + 16", "k": "z + 16", "t": 18}, "premises": {"t": 18}, "target": "q"}, "answer": {"steps": [["u", "m + 5", "m + 23"], ["m", "j + 16", "j + 39"], ["j", "h + 10", "h + 49"], ["h", "b + 19", "b + 68"], ["b", "t + 5", "t + 73"], ["t", 18, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"t": 18}, "is_reverse": true}} | 18,635 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = 18; h = b + 19; z = v + 16; b = t + 5; u = m + 5; m = j + 16; q = u + 18; w = c + 15; v = y + 14; k = z + 16; j = h + 10; y = w + 8; c = t + 10. Given that t = 18, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 5 to q, which gives q = m + 23.\n2. Substitute m = j + 16 to q, which gives q = j + 39.\n3. Substitute j = h + 10 to q, which gives q = h + 49.\n4. Substitute h = b + 19 to q, which gives q = b + 68.\n5. Substitute b = t + 5 to q, which gives q = t + 73.\n6. Substitute t = 18 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 18635,
"question": "Suppose a collection of variables is related by the following definitions: t = 18; h = b + 19; z = v + 16; b = t + 5; u = m + 5; m = j + 16; q = u + 18; w = c + 15; v = y + 14; k = z + 16; j = h + 10; y = w + 8; c = t + 10. Given that t = 18, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 14", "a": "g + 12", "b": "a + 11", "f": "b + 13", "s": "f + 4", "p": "s + 10", "w": "n + 3", "l": "w + 19", "h": "l + 16", "d": "h + 20", "e": "d + 4", "y": "e + 12", "n": 2}, "premises": {"n": 2}, "target": "p"}, "answer": {"steps": [["s", "f + 4", "f + 14"], ["f", "b + 13", "b + 27"], ["b", "a + 11", "a + 38"], ["a", "g + 12", "g + 50"], ["g", "n + 14", "n + 64"], ["n", 2, "66"]], "target_var_name": "p", "target_value": 66, "value_dict": {"n": 2}, "is_reverse": true}} | 18,636 | 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 = h + 20; p = s + 10; g = n + 14; l = w + 19; f = b + 13; y = e + 12; n = 2; h = l + 16; a = g + 12; s = f + 4; e = d + 4; w = n + 3; b = a + 11. If n = 2, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 4 to p, which gives p = f + 14.\n2. Substitute f = b + 13 to p, which gives p = b + 27.\n3. Substitute b = a + 11 to p, which gives p = a + 38.\n4. Substitute a = g + 12 to p, which gives p = g + 50.\n5. Substitute g = n + 14 to p, which gives p = n + 64.\n6. Substitute n = 2 to p, which gives p = 66.\n\nThus, the final answer is p = \\boxed{66}.",
"index": 18636,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = h + 20; p = s + 10; g = n + 14; l = w + 19; f = b + 13; y = e + 12; n = 2; h = l + 16; a = g + 12; s = f + 4; e = d + 4; w = n + 3; b = a + 11. If n = 2, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 4", "y": "m + 8", "r": "y + 17", "o": "r + 2", "b": "o + 10", "v": "b + 6", "h": "a + 20", "i": "h + 16", "p": "i + 18", "f": "p + 10", "d": "f + 3", "j": "d + 3", "a": 7}, "premises": {"a": 7}, "target": "v"}, "answer": {"steps": [["b", "o + 10", "o + 16"], ["o", "r + 2", "r + 18"], ["r", "y + 17", "y + 35"], ["y", "m + 8", "m + 43"], ["m", "a + 4", "a + 47"], ["a", 7, "54"]], "target_var_name": "v", "target_value": 54, "value_dict": {"a": 7}, "is_reverse": true}} | 18,637 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = r + 2; b = o + 10; m = a + 4; r = y + 17; f = p + 10; i = h + 16; j = d + 3; d = f + 3; a = 7; v = b + 6; y = m + 8; h = a + 20; p = i + 18. Given that a = 7, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = o + 10 to v, which gives v = o + 16.\n2. Substitute o = r + 2 to v, which gives v = r + 18.\n3. Substitute r = y + 17 to v, which gives v = y + 35.\n4. Substitute y = m + 8 to v, which gives v = m + 43.\n5. Substitute m = a + 4 to v, which gives v = a + 47.\n6. Substitute a = 7 to v, which gives v = 54.\n\nThus, the final answer is v = \\boxed{54}.",
"index": 18637,
"question": "Suppose a collection of variables is related by the following definitions: o = r + 2; b = o + 10; m = a + 4; r = y + 17; f = p + 10; i = h + 16; j = d + 3; d = f + 3; a = 7; v = b + 6; y = m + 8; h = a + 20; p = i + 18. Given that a = 7, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 18", "h": "o + 14", "r": "h + 11", "j": "r + 4", "x": "j + 8", "f": "x + 5", "k": "a + 3", "b": "k + 3", "v": "b + 1", "m": "v + 20", "d": "m + 3", "t": "d + 20", "a": 3}, "premises": {"a": 3}, "target": "f"}, "answer": {"steps": [["x", "j + 8", "j + 13"], ["j", "r + 4", "r + 17"], ["r", "h + 11", "h + 28"], ["h", "o + 14", "o + 42"], ["o", "a + 18", "a + 60"], ["a", 3, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"a": 3}, "is_reverse": true}} | 18,638 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 18; x = j + 8; j = r + 4; f = x + 5; t = d + 20; d = m + 3; k = a + 3; r = h + 11; v = b + 1; h = o + 14; b = k + 3; m = v + 20; a = 3. If a = 3, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = j + 8 to f, which gives f = j + 13.\n2. Substitute j = r + 4 to f, which gives f = r + 17.\n3. Substitute r = h + 11 to f, which gives f = h + 28.\n4. Substitute h = o + 14 to f, which gives f = o + 42.\n5. Substitute o = a + 18 to f, which gives f = a + 60.\n6. Substitute a = 3 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 18638,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = a + 18; x = j + 8; j = r + 4; f = x + 5; t = d + 20; d = m + 3; k = a + 3; r = h + 11; v = b + 1; h = o + 14; b = k + 3; m = v + 20; a = 3. If a = 3, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 7", "o": "y + 3", "s": "o + 10", "r": "s + 8", "z": "r + 12", "x": "z + 17", "w": "f + 8", "n": "w + 20", "k": "n + 3", "m": "k + 9", "h": "m + 18", "e": "h + 8", "f": 1}, "premises": {"f": 1}, "target": "x"}, "answer": {"steps": [["z", "r + 12", "r + 29"], ["r", "s + 8", "s + 37"], ["s", "o + 10", "o + 47"], ["o", "y + 3", "y + 50"], ["y", "f + 7", "f + 57"], ["f", 1, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"f": 1}, "is_reverse": true}} | 18,639 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = k + 9; h = m + 18; f = 1; w = f + 8; x = z + 17; z = r + 12; e = h + 8; y = f + 7; r = s + 8; n = w + 20; k = n + 3; o = y + 3; s = o + 10. If f = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 12 to x, which gives x = r + 29.\n2. Substitute r = s + 8 to x, which gives x = s + 37.\n3. Substitute s = o + 10 to x, which gives x = o + 47.\n4. Substitute o = y + 3 to x, which gives x = y + 50.\n5. Substitute y = f + 7 to x, which gives x = f + 57.\n6. Substitute f = 1 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 18639,
"question": "Consider a system of variables where each variable is defined as follows: m = k + 9; h = m + 18; f = 1; w = f + 8; x = z + 17; z = r + 12; e = h + 8; y = f + 7; r = s + 8; n = w + 20; k = n + 3; o = y + 3; s = o + 10. If f = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"w": "u + 17", "l": "w + 16", "y": "l + 15", "f": "y + 11", "o": "f + 3", "r": "o + 13", "x": "u + 8", "s": "x + 7", "g": "s + 18", "k": "g + 1", "d": "k + 12", "n": "d + 10", "u": 17}, "premises": {"u": 17}, "target": "r"}, "answer": {"steps": [["o", "f + 3", "f + 16"], ["f", "y + 11", "y + 27"], ["y", "l + 15", "l + 42"], ["l", "w + 16", "w + 58"], ["w", "u + 17", "u + 75"], ["u", 17, "92"]], "target_var_name": "r", "target_value": 92, "value_dict": {"u": 17}, "is_reverse": true}} | 18,640 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = o + 13; x = u + 8; d = k + 12; w = u + 17; o = f + 3; g = s + 18; k = g + 1; n = d + 10; l = w + 16; y = l + 15; u = 17; s = x + 7; f = y + 11. Given that u = 17, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 3 to r, which gives r = f + 16.\n2. Substitute f = y + 11 to r, which gives r = y + 27.\n3. Substitute y = l + 15 to r, which gives r = l + 42.\n4. Substitute l = w + 16 to r, which gives r = w + 58.\n5. Substitute w = u + 17 to r, which gives r = u + 75.\n6. Substitute u = 17 to r, which gives r = 92.\n\nThus, the final answer is r = \\boxed{92}.",
"index": 18640,
"question": "Suppose a collection of variables is related by the following definitions: r = o + 13; x = u + 8; d = k + 12; w = u + 17; o = f + 3; g = s + 18; k = g + 1; n = d + 10; l = w + 16; y = l + 15; u = 17; s = x + 7; f = y + 11. Given that u = 17, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 10", "h": "x + 12", "o": "h + 3", "d": "o + 11", "l": "d + 17", "m": "l + 18", "u": "e + 15", "y": "u + 19", "t": "y + 18", "k": "t + 4", "f": "k + 15", "c": "f + 3", "e": 20}, "premises": {"e": 20}, "target": "m"}, "answer": {"steps": [["l", "d + 17", "d + 35"], ["d", "o + 11", "o + 46"], ["o", "h + 3", "h + 49"], ["h", "x + 12", "x + 61"], ["x", "e + 10", "e + 71"], ["e", 20, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"e": 20}, "is_reverse": true}} | 18,641 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = y + 18; k = t + 4; m = l + 18; h = x + 12; y = u + 19; e = 20; d = o + 11; u = e + 15; o = h + 3; x = e + 10; f = k + 15; l = d + 17; c = f + 3. Given that e = 20, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 17 to m, which gives m = d + 35.\n2. Substitute d = o + 11 to m, which gives m = o + 46.\n3. Substitute o = h + 3 to m, which gives m = h + 49.\n4. Substitute h = x + 12 to m, which gives m = x + 61.\n5. Substitute x = e + 10 to m, which gives m = e + 71.\n6. Substitute e = 20 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 18641,
"question": "Suppose a collection of variables is related by the following definitions: t = y + 18; k = t + 4; m = l + 18; h = x + 12; y = u + 19; e = 20; d = o + 11; u = e + 15; o = h + 3; x = e + 10; f = k + 15; l = d + 17; c = f + 3. Given that e = 20, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"o": "a + 6", "j": "o + 10", "t": "j + 7", "h": "t + 2", "l": "h + 19", "w": "l + 7", "y": "a + 10", "p": "y + 5", "c": "p + 20", "b": "c + 12", "i": "b + 13", "u": "i + 7", "a": 12}, "premises": {"a": 12}, "target": "w"}, "answer": {"steps": [["l", "h + 19", "h + 26"], ["h", "t + 2", "t + 28"], ["t", "j + 7", "j + 35"], ["j", "o + 10", "o + 45"], ["o", "a + 6", "a + 51"], ["a", 12, "63"]], "target_var_name": "w", "target_value": 63, "value_dict": {"a": 12}, "is_reverse": true}} | 18,642 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = c + 12; i = b + 13; t = j + 7; a = 12; h = t + 2; l = h + 19; p = y + 5; u = i + 7; j = o + 10; w = l + 7; c = p + 20; o = a + 6; y = a + 10. If a = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 19 to w, which gives w = h + 26.\n2. Substitute h = t + 2 to w, which gives w = t + 28.\n3. Substitute t = j + 7 to w, which gives w = j + 35.\n4. Substitute j = o + 10 to w, which gives w = o + 45.\n5. Substitute o = a + 6 to w, which gives w = a + 51.\n6. Substitute a = 12 to w, which gives w = 63.\n\nThus, the final answer is w = \\boxed{63}.",
"index": 18642,
"question": "Consider a system of variables where each variable is defined as follows: b = c + 12; i = b + 13; t = j + 7; a = 12; h = t + 2; l = h + 19; p = y + 5; u = i + 7; j = o + 10; w = l + 7; c = p + 20; o = a + 6; y = a + 10. If a = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"u": "c + 16", "z": "u + 13", "j": "z + 7", "l": "j + 6", "h": "l + 7", "m": "h + 1", "q": "c + 20", "g": "q + 20", "y": "g + 18", "e": "y + 16", "s": "e + 18", "p": "s + 5", "c": 7}, "premises": {"c": 7}, "target": "m"}, "answer": {"steps": [["h", "l + 7", "l + 8"], ["l", "j + 6", "j + 14"], ["j", "z + 7", "z + 21"], ["z", "u + 13", "u + 34"], ["u", "c + 16", "c + 50"], ["c", 7, "57"]], "target_var_name": "m", "target_value": 57, "value_dict": {"c": 7}, "is_reverse": true}} | 18,643 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 18; z = u + 13; m = h + 1; c = 7; h = l + 7; e = y + 16; g = q + 20; u = c + 16; p = s + 5; q = c + 20; l = j + 6; s = e + 18; j = z + 7. If c = 7, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = l + 7 to m, which gives m = l + 8.\n2. Substitute l = j + 6 to m, which gives m = j + 14.\n3. Substitute j = z + 7 to m, which gives m = z + 21.\n4. Substitute z = u + 13 to m, which gives m = u + 34.\n5. Substitute u = c + 16 to m, which gives m = c + 50.\n6. Substitute c = 7 to m, which gives m = 57.\n\nThus, the final answer is m = \\boxed{57}.",
"index": 18643,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 18; z = u + 13; m = h + 1; c = 7; h = l + 7; e = y + 16; g = q + 20; u = c + 16; p = s + 5; q = c + 20; l = j + 6; s = e + 18; j = z + 7. If c = 7, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "k + 5", "a": "z + 13", "e": "a + 7", "w": "e + 8", "f": "w + 1", "d": "f + 5", "x": "k + 15", "r": "x + 15", "o": "r + 18", "q": "o + 7", "m": "q + 15", "i": "m + 12", "k": 2}, "premises": {"k": 2}, "target": "d"}, "answer": {"steps": [["f", "w + 1", "w + 6"], ["w", "e + 8", "e + 14"], ["e", "a + 7", "a + 21"], ["a", "z + 13", "z + 34"], ["z", "k + 5", "k + 39"], ["k", 2, "41"]], "target_var_name": "d", "target_value": 41, "value_dict": {"k": 2}, "is_reverse": true}} | 18,644 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = z + 13; f = w + 1; k = 2; d = f + 5; x = k + 15; z = k + 5; i = m + 12; r = x + 15; o = r + 18; q = o + 7; e = a + 7; m = q + 15; w = e + 8. If k = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = w + 1 to d, which gives d = w + 6.\n2. Substitute w = e + 8 to d, which gives d = e + 14.\n3. Substitute e = a + 7 to d, which gives d = a + 21.\n4. Substitute a = z + 13 to d, which gives d = z + 34.\n5. Substitute z = k + 5 to d, which gives d = k + 39.\n6. Substitute k = 2 to d, which gives d = 41.\n\nThus, the final answer is d = \\boxed{41}.",
"index": 18644,
"question": "Consider a system of variables where each variable is defined as follows: a = z + 13; f = w + 1; k = 2; d = f + 5; x = k + 15; z = k + 5; i = m + 12; r = x + 15; o = r + 18; q = o + 7; e = a + 7; m = q + 15; w = e + 8. If k = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"k": "y + 3", "t": "k + 13", "l": "t + 16", "p": "l + 8", "c": "p + 10", "s": "c + 1", "o": "y + 15", "f": "o + 9", "g": "f + 12", "b": "g + 4", "v": "b + 19", "x": "v + 15", "y": 19}, "premises": {"y": 19}, "target": "s"}, "answer": {"steps": [["c", "p + 10", "p + 11"], ["p", "l + 8", "l + 19"], ["l", "t + 16", "t + 35"], ["t", "k + 13", "k + 48"], ["k", "y + 3", "y + 51"], ["y", 19, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"y": 19}, "is_reverse": true}} | 18,645 | 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 = t + 16; v = b + 19; t = k + 13; c = p + 10; f = o + 9; y = 19; o = y + 15; k = y + 3; g = f + 12; b = g + 4; x = v + 15; p = l + 8; s = c + 1. If y = 19, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = p + 10 to s, which gives s = p + 11.\n2. Substitute p = l + 8 to s, which gives s = l + 19.\n3. Substitute l = t + 16 to s, which gives s = t + 35.\n4. Substitute t = k + 13 to s, which gives s = k + 48.\n5. Substitute k = y + 3 to s, which gives s = y + 51.\n6. Substitute y = 19 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 18645,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = t + 16; v = b + 19; t = k + 13; c = p + 10; f = o + 9; y = 19; o = y + 15; k = y + 3; g = f + 12; b = g + 4; x = v + 15; p = l + 8; s = c + 1. If y = 19, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 13", "c": "f + 2", "d": "c + 10", "u": "d + 11", "e": "u + 3", "o": "e + 11", "z": "j + 6", "x": "z + 14", "b": "x + 1", "p": "b + 16", "a": "p + 3", "t": "a + 17", "j": 1}, "premises": {"j": 1}, "target": "o"}, "answer": {"steps": [["e", "u + 3", "u + 14"], ["u", "d + 11", "d + 25"], ["d", "c + 10", "c + 35"], ["c", "f + 2", "f + 37"], ["f", "j + 13", "j + 50"], ["j", 1, "51"]], "target_var_name": "o", "target_value": 51, "value_dict": {"j": 1}, "is_reverse": true}} | 18,646 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 1; d = c + 10; e = u + 3; a = p + 3; u = d + 11; z = j + 6; c = f + 2; t = a + 17; f = j + 13; p = b + 16; j = 1; x = z + 14; o = e + 11. If j = 1, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 3 to o, which gives o = u + 14.\n2. Substitute u = d + 11 to o, which gives o = d + 25.\n3. Substitute d = c + 10 to o, which gives o = c + 35.\n4. Substitute c = f + 2 to o, which gives o = f + 37.\n5. Substitute f = j + 13 to o, which gives o = j + 50.\n6. Substitute j = 1 to o, which gives o = 51.\n\nThus, the final answer is o = \\boxed{51}.",
"index": 18646,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = x + 1; d = c + 10; e = u + 3; a = p + 3; u = d + 11; z = j + 6; c = f + 2; t = a + 17; f = j + 13; p = b + 16; j = 1; x = z + 14; o = e + 11. If j = 1, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 16", "b": "c + 3", "f": "b + 6", "a": "f + 7", "q": "a + 14", "t": "q + 9", "l": "r + 20", "u": "l + 3", "s": "u + 4", "v": "s + 19", "y": "v + 9", "w": "y + 14", "r": 20}, "premises": {"r": 20}, "target": "t"}, "answer": {"steps": [["q", "a + 14", "a + 23"], ["a", "f + 7", "f + 30"], ["f", "b + 6", "b + 36"], ["b", "c + 3", "c + 39"], ["c", "r + 16", "r + 55"], ["r", 20, "75"]], "target_var_name": "t", "target_value": 75, "value_dict": {"r": 20}, "is_reverse": true}} | 18,647 | 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 = s + 19; u = l + 3; w = y + 14; q = a + 14; s = u + 4; f = b + 6; r = 20; t = q + 9; a = f + 7; b = c + 3; c = r + 16; y = v + 9; l = r + 20. If r = 20, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 14 to t, which gives t = a + 23.\n2. Substitute a = f + 7 to t, which gives t = f + 30.\n3. Substitute f = b + 6 to t, which gives t = b + 36.\n4. Substitute b = c + 3 to t, which gives t = c + 39.\n5. Substitute c = r + 16 to t, which gives t = r + 55.\n6. Substitute r = 20 to t, which gives t = 75.\n\nThus, the final answer is t = \\boxed{75}.",
"index": 18647,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 19; u = l + 3; w = y + 14; q = a + 14; s = u + 4; f = b + 6; r = 20; t = q + 9; a = f + 7; b = c + 3; c = r + 16; y = v + 9; l = r + 20. If r = 20, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"u": "i + 6", "b": "u + 2", "x": "b + 14", "k": "x + 14", "s": "k + 14", "n": "s + 7", "z": "i + 6", "y": "z + 13", "a": "y + 11", "c": "a + 20", "e": "c + 4", "h": "e + 20", "i": 3}, "premises": {"i": 3}, "target": "n"}, "answer": {"steps": [["s", "k + 14", "k + 21"], ["k", "x + 14", "x + 35"], ["x", "b + 14", "b + 49"], ["b", "u + 2", "u + 51"], ["u", "i + 6", "i + 57"], ["i", 3, "60"]], "target_var_name": "n", "target_value": 60, "value_dict": {"i": 3}, "is_reverse": true}} | 18,648 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = u + 2; c = a + 20; k = x + 14; x = b + 14; s = k + 14; e = c + 4; a = y + 11; h = e + 20; u = i + 6; z = i + 6; n = s + 7; i = 3; y = z + 13. If i = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = k + 14 to n, which gives n = k + 21.\n2. Substitute k = x + 14 to n, which gives n = x + 35.\n3. Substitute x = b + 14 to n, which gives n = b + 49.\n4. Substitute b = u + 2 to n, which gives n = u + 51.\n5. Substitute u = i + 6 to n, which gives n = i + 57.\n6. Substitute i = 3 to n, which gives n = 60.\n\nThus, the final answer is n = \\boxed{60}.",
"index": 18648,
"question": "Consider a system of variables where each variable is defined as follows: b = u + 2; c = a + 20; k = x + 14; x = b + 14; s = k + 14; e = c + 4; a = y + 11; h = e + 20; u = i + 6; z = i + 6; n = s + 7; i = 3; y = z + 13. If i = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 5", "b": "v + 6", "r": "b + 15", "k": "r + 19", "u": "k + 18", "f": "u + 15", "x": "n + 5", "a": "x + 16", "y": "a + 9", "d": "y + 5", "s": "d + 19", "e": "s + 6", "n": 5}, "premises": {"n": 5}, "target": "f"}, "answer": {"steps": [["u", "k + 18", "k + 33"], ["k", "r + 19", "r + 52"], ["r", "b + 15", "b + 67"], ["b", "v + 6", "v + 73"], ["v", "n + 5", "n + 78"], ["n", 5, "83"]], "target_var_name": "f", "target_value": 83, "value_dict": {"n": 5}, "is_reverse": true}} | 18,649 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 19; v = n + 5; y = a + 9; b = v + 6; a = x + 16; f = u + 15; s = d + 19; x = n + 5; r = b + 15; e = s + 6; n = 5; u = k + 18; d = y + 5. If n = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 18 to f, which gives f = k + 33.\n2. Substitute k = r + 19 to f, which gives f = r + 52.\n3. Substitute r = b + 15 to f, which gives f = b + 67.\n4. Substitute b = v + 6 to f, which gives f = v + 73.\n5. Substitute v = n + 5 to f, which gives f = n + 78.\n6. Substitute n = 5 to f, which gives f = 83.\n\nThus, the final answer is f = \\boxed{83}.",
"index": 18649,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 19; v = n + 5; y = a + 9; b = v + 6; a = x + 16; f = u + 15; s = d + 19; x = n + 5; r = b + 15; e = s + 6; n = 5; u = k + 18; d = y + 5. If n = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 5", "u": "p + 8", "n": "u + 15", "k": "n + 5", "e": "k + 17", "r": "e + 9", "g": "s + 18", "f": "g + 11", "m": "f + 17", "h": "m + 13", "z": "h + 16", "q": "z + 5", "s": 6}, "premises": {"s": 6}, "target": "r"}, "answer": {"steps": [["e", "k + 17", "k + 26"], ["k", "n + 5", "n + 31"], ["n", "u + 15", "u + 46"], ["u", "p + 8", "p + 54"], ["p", "s + 5", "s + 59"], ["s", 6, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"s": 6}, "is_reverse": true}} | 18,650 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 11; e = k + 17; q = z + 5; u = p + 8; h = m + 13; m = f + 17; r = e + 9; g = s + 18; z = h + 16; p = s + 5; k = n + 5; n = u + 15; s = 6. If s = 6, determine the 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 e = k + 17 to r, which gives r = k + 26.\n2. Substitute k = n + 5 to r, which gives r = n + 31.\n3. Substitute n = u + 15 to r, which gives r = u + 46.\n4. Substitute u = p + 8 to r, which gives r = p + 54.\n5. Substitute p = s + 5 to r, which gives r = s + 59.\n6. Substitute s = 6 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 18650,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 11; e = k + 17; q = z + 5; u = p + 8; h = m + 13; m = f + 17; r = e + 9; g = s + 18; z = h + 16; p = s + 5; k = n + 5; n = u + 15; s = 6. If s = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 2", "k": "c + 1", "m": "k + 4", "b": "m + 7", "u": "b + 10", "a": "u + 8", "j": "v + 6", "i": "j + 14", "z": "i + 8", "q": "z + 14", "r": "q + 20", "h": "r + 18", "v": 19}, "premises": {"v": 19}, "target": "a"}, "answer": {"steps": [["u", "b + 10", "b + 18"], ["b", "m + 7", "m + 25"], ["m", "k + 4", "k + 29"], ["k", "c + 1", "c + 30"], ["c", "v + 2", "v + 32"], ["v", 19, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"v": 19}, "is_reverse": true}} | 18,651 | 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 + 4; a = u + 8; v = 19; k = c + 1; h = r + 18; q = z + 14; b = m + 7; r = q + 20; j = v + 6; i = j + 14; z = i + 8; u = b + 10; c = v + 2. If v = 19, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 10 to a, which gives a = b + 18.\n2. Substitute b = m + 7 to a, which gives a = m + 25.\n3. Substitute m = k + 4 to a, which gives a = k + 29.\n4. Substitute k = c + 1 to a, which gives a = c + 30.\n5. Substitute c = v + 2 to a, which gives a = v + 32.\n6. Substitute v = 19 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 18651,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 4; a = u + 8; v = 19; k = c + 1; h = r + 18; q = z + 14; b = m + 7; r = q + 20; j = v + 6; i = j + 14; z = i + 8; u = b + 10; c = v + 2. If v = 19, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 3", "t": "q + 7", "c": "t + 14", "y": "c + 18", "v": "y + 19", "o": "v + 4", "s": "g + 2", "d": "s + 3", "r": "d + 15", "z": "r + 4", "j": "z + 5", "f": "j + 8", "g": 3}, "premises": {"g": 3}, "target": "o"}, "answer": {"steps": [["v", "y + 19", "y + 23"], ["y", "c + 18", "c + 41"], ["c", "t + 14", "t + 55"], ["t", "q + 7", "q + 62"], ["q", "g + 3", "g + 65"], ["g", 3, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"g": 3}, "is_reverse": true}} | 18,652 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = s + 3; f = j + 8; c = t + 14; q = g + 3; v = y + 19; y = c + 18; s = g + 2; z = r + 4; j = z + 5; g = 3; o = v + 4; t = q + 7; r = d + 15. Given that g = 3, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = y + 19 to o, which gives o = y + 23.\n2. Substitute y = c + 18 to o, which gives o = c + 41.\n3. Substitute c = t + 14 to o, which gives o = t + 55.\n4. Substitute t = q + 7 to o, which gives o = q + 62.\n5. Substitute q = g + 3 to o, which gives o = g + 65.\n6. Substitute g = 3 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 18652,
"question": "Suppose a collection of variables is related by the following definitions: d = s + 3; f = j + 8; c = t + 14; q = g + 3; v = y + 19; y = c + 18; s = g + 2; z = r + 4; j = z + 5; g = 3; o = v + 4; t = q + 7; r = d + 15. Given that g = 3, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"j": "v + 9", "x": "j + 15", "u": "x + 11", "n": "u + 9", "h": "n + 3", "m": "h + 20", "t": "v + 10", "y": "t + 6", "l": "y + 6", "q": "l + 3", "f": "q + 6", "k": "f + 4", "v": 9}, "premises": {"v": 9}, "target": "m"}, "answer": {"steps": [["h", "n + 3", "n + 23"], ["n", "u + 9", "u + 32"], ["u", "x + 11", "x + 43"], ["x", "j + 15", "j + 58"], ["j", "v + 9", "v + 67"], ["v", 9, "76"]], "target_var_name": "m", "target_value": 76, "value_dict": {"v": 9}, "is_reverse": true}} | 18,653 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = y + 6; x = j + 15; t = v + 10; h = n + 3; y = t + 6; m = h + 20; u = x + 11; k = f + 4; j = v + 9; n = u + 9; f = q + 6; q = l + 3; v = 9. If v = 9, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 3 to m, which gives m = n + 23.\n2. Substitute n = u + 9 to m, which gives m = u + 32.\n3. Substitute u = x + 11 to m, which gives m = x + 43.\n4. Substitute x = j + 15 to m, which gives m = j + 58.\n5. Substitute j = v + 9 to m, which gives m = v + 67.\n6. Substitute v = 9 to m, which gives m = 76.\n\nThus, the final answer is m = \\boxed{76}.",
"index": 18653,
"question": "Consider a system of variables where each variable is defined as follows: l = y + 6; x = j + 15; t = v + 10; h = n + 3; y = t + 6; m = h + 20; u = x + 11; k = f + 4; j = v + 9; n = u + 9; f = q + 6; q = l + 3; v = 9. If v = 9, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 15", "p": "f + 14", "q": "p + 2", "a": "q + 15", "o": "a + 7", "m": "o + 4", "r": "j + 7", "t": "r + 13", "l": "t + 7", "k": "l + 14", "i": "k + 7", "e": "i + 7", "j": 9}, "premises": {"j": 9}, "target": "m"}, "answer": {"steps": [["o", "a + 7", "a + 11"], ["a", "q + 15", "q + 26"], ["q", "p + 2", "p + 28"], ["p", "f + 14", "f + 42"], ["f", "j + 15", "j + 57"], ["j", 9, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"j": 9}, "is_reverse": true}} | 18,654 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = o + 4; a = q + 15; p = f + 14; r = j + 7; q = p + 2; j = 9; e = i + 7; i = k + 7; k = l + 14; l = t + 7; t = r + 13; o = a + 7; f = j + 15. Given that j = 9, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = a + 7 to m, which gives m = a + 11.\n2. Substitute a = q + 15 to m, which gives m = q + 26.\n3. Substitute q = p + 2 to m, which gives m = p + 28.\n4. Substitute p = f + 14 to m, which gives m = f + 42.\n5. Substitute f = j + 15 to m, which gives m = j + 57.\n6. Substitute j = 9 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 18654,
"question": "Suppose a collection of variables is related by the following definitions: m = o + 4; a = q + 15; p = f + 14; r = j + 7; q = p + 2; j = 9; e = i + 7; i = k + 7; k = l + 14; l = t + 7; t = r + 13; o = a + 7; f = j + 15. Given that j = 9, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 10", "z": "k + 12", "g": "z + 1", "s": "g + 7", "w": "s + 4", "y": "w + 3", "x": "l + 18", "i": "x + 7", "r": "i + 9", "m": "r + 5", "u": "m + 5", "t": "u + 6", "l": 13}, "premises": {"l": 13}, "target": "y"}, "answer": {"steps": [["w", "s + 4", "s + 7"], ["s", "g + 7", "g + 14"], ["g", "z + 1", "z + 15"], ["z", "k + 12", "k + 27"], ["k", "l + 10", "l + 37"], ["l", 13, "50"]], "target_var_name": "y", "target_value": 50, "value_dict": {"l": 13}, "is_reverse": true}} | 18,655 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = s + 4; u = m + 5; t = u + 6; r = i + 9; l = 13; s = g + 7; m = r + 5; z = k + 12; g = z + 1; k = l + 10; y = w + 3; x = l + 18; i = x + 7. If l = 13, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = s + 4 to y, which gives y = s + 7.\n2. Substitute s = g + 7 to y, which gives y = g + 14.\n3. Substitute g = z + 1 to y, which gives y = z + 15.\n4. Substitute z = k + 12 to y, which gives y = k + 27.\n5. Substitute k = l + 10 to y, which gives y = l + 37.\n6. Substitute l = 13 to y, which gives y = 50.\n\nThus, the final answer is y = \\boxed{50}.",
"index": 18655,
"question": "Consider a system of variables where each variable is defined as follows: w = s + 4; u = m + 5; t = u + 6; r = i + 9; l = 13; s = g + 7; m = r + 5; z = k + 12; g = z + 1; k = l + 10; y = w + 3; x = l + 18; i = x + 7. If l = 13, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 10", "t": "g + 4", "v": "t + 17", "a": "v + 14", "j": "a + 3", "n": "j + 17", "i": "u + 13", "d": "i + 6", "e": "d + 8", "f": "e + 8", "b": "f + 1", "s": "b + 3", "u": 7}, "premises": {"u": 7}, "target": "n"}, "answer": {"steps": [["j", "a + 3", "a + 20"], ["a", "v + 14", "v + 34"], ["v", "t + 17", "t + 51"], ["t", "g + 4", "g + 55"], ["g", "u + 10", "u + 65"], ["u", 7, "72"]], "target_var_name": "n", "target_value": 72, "value_dict": {"u": 7}, "is_reverse": true}} | 18,656 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 7; d = i + 6; e = d + 8; g = u + 10; a = v + 14; v = t + 17; f = e + 8; i = u + 13; b = f + 1; n = j + 17; t = g + 4; s = b + 3; j = a + 3. Given that u = 7, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 3 to n, which gives n = a + 20.\n2. Substitute a = v + 14 to n, which gives n = v + 34.\n3. Substitute v = t + 17 to n, which gives n = t + 51.\n4. Substitute t = g + 4 to n, which gives n = g + 55.\n5. Substitute g = u + 10 to n, which gives n = u + 65.\n6. Substitute u = 7 to n, which gives n = 72.\n\nThus, the final answer is n = \\boxed{72}.",
"index": 18656,
"question": "Suppose a collection of variables is related by the following definitions: u = 7; d = i + 6; e = d + 8; g = u + 10; a = v + 14; v = t + 17; f = e + 8; i = u + 13; b = f + 1; n = j + 17; t = g + 4; s = b + 3; j = a + 3. Given that u = 7, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 5", "v": "e + 19", "n": "v + 1", "y": "n + 2", "m": "y + 7", "x": "m + 16", "k": "j + 1", "r": "k + 8", "s": "r + 12", "f": "s + 17", "t": "f + 6", "c": "t + 7", "j": 5}, "premises": {"j": 5}, "target": "x"}, "answer": {"steps": [["m", "y + 7", "y + 23"], ["y", "n + 2", "n + 25"], ["n", "v + 1", "v + 26"], ["v", "e + 19", "e + 45"], ["e", "j + 5", "j + 50"], ["j", 5, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"j": 5}, "is_reverse": true}} | 18,657 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = f + 6; n = v + 1; y = n + 2; s = r + 12; e = j + 5; k = j + 1; m = y + 7; v = e + 19; x = m + 16; f = s + 17; c = t + 7; r = k + 8; j = 5. Given that j = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = y + 7 to x, which gives x = y + 23.\n2. Substitute y = n + 2 to x, which gives x = n + 25.\n3. Substitute n = v + 1 to x, which gives x = v + 26.\n4. Substitute v = e + 19 to x, which gives x = e + 45.\n5. Substitute e = j + 5 to x, which gives x = j + 50.\n6. Substitute j = 5 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 18657,
"question": "Suppose a collection of variables is related by the following definitions: t = f + 6; n = v + 1; y = n + 2; s = r + 12; e = j + 5; k = j + 1; m = y + 7; v = e + 19; x = m + 16; f = s + 17; c = t + 7; r = k + 8; j = 5. Given that j = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 20", "n": "l + 9", "x": "n + 18", "i": "x + 6", "b": "i + 11", "c": "b + 8", "o": "z + 6", "p": "o + 7", "r": "p + 1", "h": "r + 4", "m": "h + 14", "d": "m + 8", "z": 16}, "premises": {"z": 16}, "target": "c"}, "answer": {"steps": [["b", "i + 11", "i + 19"], ["i", "x + 6", "x + 25"], ["x", "n + 18", "n + 43"], ["n", "l + 9", "l + 52"], ["l", "z + 20", "z + 72"], ["z", 16, "88"]], "target_var_name": "c", "target_value": 88, "value_dict": {"z": 16}, "is_reverse": true}} | 18,658 | 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 = 16; d = m + 8; n = l + 9; p = o + 7; l = z + 20; h = r + 4; x = n + 18; b = i + 11; o = z + 6; i = x + 6; r = p + 1; m = h + 14; c = b + 8. If z = 16, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = i + 11 to c, which gives c = i + 19.\n2. Substitute i = x + 6 to c, which gives c = x + 25.\n3. Substitute x = n + 18 to c, which gives c = n + 43.\n4. Substitute n = l + 9 to c, which gives c = l + 52.\n5. Substitute l = z + 20 to c, which gives c = z + 72.\n6. Substitute z = 16 to c, which gives c = 88.\n\nThus, the final answer is c = \\boxed{88}.",
"index": 18658,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = 16; d = m + 8; n = l + 9; p = o + 7; l = z + 20; h = r + 4; x = n + 18; b = i + 11; o = z + 6; i = x + 6; r = p + 1; m = h + 14; c = b + 8. If z = 16, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"c": "j + 19", "k": "c + 20", "u": "k + 18", "g": "u + 5", "f": "g + 6", "n": "f + 8", "y": "j + 1", "p": "y + 17", "a": "p + 5", "b": "a + 20", "e": "b + 9", "d": "e + 6", "j": 3}, "premises": {"j": 3}, "target": "n"}, "answer": {"steps": [["f", "g + 6", "g + 14"], ["g", "u + 5", "u + 19"], ["u", "k + 18", "k + 37"], ["k", "c + 20", "c + 57"], ["c", "j + 19", "j + 76"], ["j", 3, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"j": 3}, "is_reverse": true}} | 18,659 | 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 = k + 18; d = e + 6; b = a + 20; f = g + 6; a = p + 5; g = u + 5; p = y + 17; c = j + 19; j = 3; y = j + 1; k = c + 20; n = f + 8; e = b + 9. If j = 3, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 6 to n, which gives n = g + 14.\n2. Substitute g = u + 5 to n, which gives n = u + 19.\n3. Substitute u = k + 18 to n, which gives n = k + 37.\n4. Substitute k = c + 20 to n, which gives n = c + 57.\n5. Substitute c = j + 19 to n, which gives n = j + 76.\n6. Substitute j = 3 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 18659,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 18; d = e + 6; b = a + 20; f = g + 6; a = p + 5; g = u + 5; p = y + 17; c = j + 19; j = 3; y = j + 1; k = c + 20; n = f + 8; e = b + 9. If j = 3, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"d": "p + 1", "m": "d + 18", "g": "m + 11", "w": "g + 15", "k": "w + 4", "h": "k + 6", "f": "p + 1", "s": "f + 2", "e": "s + 12", "v": "e + 3", "n": "v + 17", "q": "n + 14", "p": 9}, "premises": {"p": 9}, "target": "h"}, "answer": {"steps": [["k", "w + 4", "w + 10"], ["w", "g + 15", "g + 25"], ["g", "m + 11", "m + 36"], ["m", "d + 18", "d + 54"], ["d", "p + 1", "p + 55"], ["p", 9, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"p": 9}, "is_reverse": true}} | 18,660 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = d + 18; f = p + 1; k = w + 4; e = s + 12; v = e + 3; p = 9; q = n + 14; d = p + 1; n = v + 17; w = g + 15; s = f + 2; g = m + 11; h = k + 6. If p = 9, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = w + 4 to h, which gives h = w + 10.\n2. Substitute w = g + 15 to h, which gives h = g + 25.\n3. Substitute g = m + 11 to h, which gives h = m + 36.\n4. Substitute m = d + 18 to h, which gives h = d + 54.\n5. Substitute d = p + 1 to h, which gives h = p + 55.\n6. Substitute p = 9 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 18660,
"question": "Consider a system of variables where each variable is defined as follows: m = d + 18; f = p + 1; k = w + 4; e = s + 12; v = e + 3; p = 9; q = n + 14; d = p + 1; n = v + 17; w = g + 15; s = f + 2; g = m + 11; h = k + 6. If p = 9, determine the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 19", "l": "c + 6", "b": "l + 5", "u": "b + 17", "f": "u + 3", "m": "f + 19", "j": "r + 14", "s": "j + 6", "o": "s + 17", "d": "o + 9", "y": "d + 19", "h": "y + 3", "r": 17}, "premises": {"r": 17}, "target": "m"}, "answer": {"steps": [["f", "u + 3", "u + 22"], ["u", "b + 17", "b + 39"], ["b", "l + 5", "l + 44"], ["l", "c + 6", "c + 50"], ["c", "r + 19", "r + 69"], ["r", 17, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"r": 17}, "is_reverse": true}} | 18,661 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = f + 19; o = s + 17; d = o + 9; l = c + 6; u = b + 17; b = l + 5; f = u + 3; r = 17; j = r + 14; y = d + 19; s = j + 6; h = y + 3; c = r + 19. If r = 17, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 3 to m, which gives m = u + 22.\n2. Substitute u = b + 17 to m, which gives m = b + 39.\n3. Substitute b = l + 5 to m, which gives m = l + 44.\n4. Substitute l = c + 6 to m, which gives m = c + 50.\n5. Substitute c = r + 19 to m, which gives m = r + 69.\n6. Substitute r = 17 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 18661,
"question": "Consider a system of variables where each variable is defined as follows: m = f + 19; o = s + 17; d = o + 9; l = c + 6; u = b + 17; b = l + 5; f = u + 3; r = 17; j = r + 14; y = d + 19; s = j + 6; h = y + 3; c = r + 19. If r = 17, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 20", "d": "a + 16", "g": "d + 12", "q": "g + 6", "w": "q + 18", "s": "w + 1", "u": "m + 4", "v": "u + 2", "r": "v + 2", "y": "r + 7", "z": "y + 19", "i": "z + 11", "m": 16}, "premises": {"m": 16}, "target": "s"}, "answer": {"steps": [["w", "q + 18", "q + 19"], ["q", "g + 6", "g + 25"], ["g", "d + 12", "d + 37"], ["d", "a + 16", "a + 53"], ["a", "m + 20", "m + 73"], ["m", 16, "89"]], "target_var_name": "s", "target_value": 89, "value_dict": {"m": 16}, "is_reverse": true}} | 18,662 | 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 + 18; g = d + 12; a = m + 20; m = 16; i = z + 11; s = w + 1; q = g + 6; r = v + 2; y = r + 7; v = u + 2; d = a + 16; u = m + 4; z = y + 19. If m = 16, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 18 to s, which gives s = q + 19.\n2. Substitute q = g + 6 to s, which gives s = g + 25.\n3. Substitute g = d + 12 to s, which gives s = d + 37.\n4. Substitute d = a + 16 to s, which gives s = a + 53.\n5. Substitute a = m + 20 to s, which gives s = m + 73.\n6. Substitute m = 16 to s, which gives s = 89.\n\nThus, the final answer is s = \\boxed{89}.",
"index": 18662,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 18; g = d + 12; a = m + 20; m = 16; i = z + 11; s = w + 1; q = g + 6; r = v + 2; y = r + 7; v = u + 2; d = a + 16; u = m + 4; z = y + 19. If m = 16, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 19", "a": "b + 8", "s": "a + 9", "h": "s + 17", "w": "h + 12", "c": "w + 9", "x": "n + 8", "e": "x + 2", "v": "e + 15", "t": "v + 3", "q": "t + 1", "l": "q + 10", "n": 5}, "premises": {"n": 5}, "target": "c"}, "answer": {"steps": [["w", "h + 12", "h + 21"], ["h", "s + 17", "s + 38"], ["s", "a + 9", "a + 47"], ["a", "b + 8", "b + 55"], ["b", "n + 19", "n + 74"], ["n", 5, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"n": 5}, "is_reverse": true}} | 18,663 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = w + 9; b = n + 19; e = x + 2; t = v + 3; h = s + 17; n = 5; x = n + 8; w = h + 12; s = a + 9; q = t + 1; l = q + 10; v = e + 15; a = b + 8. Given that n = 5, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 12 to c, which gives c = h + 21.\n2. Substitute h = s + 17 to c, which gives c = s + 38.\n3. Substitute s = a + 9 to c, which gives c = a + 47.\n4. Substitute a = b + 8 to c, which gives c = b + 55.\n5. Substitute b = n + 19 to c, which gives c = n + 74.\n6. Substitute n = 5 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 18663,
"question": "Suppose a collection of variables is related by the following definitions: c = w + 9; b = n + 19; e = x + 2; t = v + 3; h = s + 17; n = 5; x = n + 8; w = h + 12; s = a + 9; q = t + 1; l = q + 10; v = e + 15; a = b + 8. Given that n = 5, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"a": "x + 2", "q": "a + 17", "c": "q + 1", "p": "c + 11", "i": "p + 2", "v": "i + 3", "r": "x + 10", "t": "r + 14", "n": "t + 15", "g": "n + 16", "y": "g + 12", "k": "y + 3", "x": 11}, "premises": {"x": 11}, "target": "v"}, "answer": {"steps": [["i", "p + 2", "p + 5"], ["p", "c + 11", "c + 16"], ["c", "q + 1", "q + 17"], ["q", "a + 17", "a + 34"], ["a", "x + 2", "x + 36"], ["x", 11, "47"]], "target_var_name": "v", "target_value": 47, "value_dict": {"x": 11}, "is_reverse": true}} | 18,664 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = g + 12; p = c + 11; x = 11; n = t + 15; a = x + 2; k = y + 3; t = r + 14; c = q + 1; r = x + 10; g = n + 16; v = i + 3; i = p + 2; q = a + 17. If x = 11, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 2 to v, which gives v = p + 5.\n2. Substitute p = c + 11 to v, which gives v = c + 16.\n3. Substitute c = q + 1 to v, which gives v = q + 17.\n4. Substitute q = a + 17 to v, which gives v = a + 34.\n5. Substitute a = x + 2 to v, which gives v = x + 36.\n6. Substitute x = 11 to v, which gives v = 47.\n\nThus, the final answer is v = \\boxed{47}.",
"index": 18664,
"question": "Consider a system of variables where each variable is defined as follows: y = g + 12; p = c + 11; x = 11; n = t + 15; a = x + 2; k = y + 3; t = r + 14; c = q + 1; r = x + 10; g = n + 16; v = i + 3; i = p + 2; q = a + 17. If x = 11, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 8", "g": "t + 10", "w": "g + 7", "u": "w + 1", "o": "u + 7", "m": "o + 1", "k": "z + 7", "i": "k + 14", "q": "i + 2", "c": "q + 20", "v": "c + 11", "e": "v + 14", "z": 13}, "premises": {"z": 13}, "target": "m"}, "answer": {"steps": [["o", "u + 7", "u + 8"], ["u", "w + 1", "w + 9"], ["w", "g + 7", "g + 16"], ["g", "t + 10", "t + 26"], ["t", "z + 8", "z + 34"], ["z", 13, "47"]], "target_var_name": "m", "target_value": 47, "value_dict": {"z": 13}, "is_reverse": true}} | 18,665 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = o + 1; t = z + 8; v = c + 11; z = 13; q = i + 2; c = q + 20; o = u + 7; g = t + 10; i = k + 14; k = z + 7; e = v + 14; w = g + 7; u = w + 1. If z = 13, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = u + 7 to m, which gives m = u + 8.\n2. Substitute u = w + 1 to m, which gives m = w + 9.\n3. Substitute w = g + 7 to m, which gives m = g + 16.\n4. Substitute g = t + 10 to m, which gives m = t + 26.\n5. Substitute t = z + 8 to m, which gives m = z + 34.\n6. Substitute z = 13 to m, which gives m = 47.\n\nThus, the final answer is m = \\boxed{47}.",
"index": 18665,
"question": "Consider a system of variables where each variable is defined as follows: m = o + 1; t = z + 8; v = c + 11; z = 13; q = i + 2; c = q + 20; o = u + 7; g = t + 10; i = k + 14; k = z + 7; e = v + 14; w = g + 7; u = w + 1. If z = 13, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "i + 2", "s": "z + 10", "x": "s + 11", "g": "x + 14", "b": "g + 8", "w": "b + 14", "v": "i + 5", "f": "v + 6", "p": "f + 18", "d": "p + 1", "q": "d + 9", "t": "q + 5", "i": 14}, "premises": {"i": 14}, "target": "w"}, "answer": {"steps": [["b", "g + 8", "g + 22"], ["g", "x + 14", "x + 36"], ["x", "s + 11", "s + 47"], ["s", "z + 10", "z + 57"], ["z", "i + 2", "i + 59"], ["i", 14, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"i": 14}, "is_reverse": true}} | 18,666 | 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 = v + 6; w = b + 14; p = f + 18; x = s + 11; d = p + 1; s = z + 10; q = d + 9; z = i + 2; b = g + 8; v = i + 5; t = q + 5; i = 14; g = x + 14. If i = 14, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = g + 8 to w, which gives w = g + 22.\n2. Substitute g = x + 14 to w, which gives w = x + 36.\n3. Substitute x = s + 11 to w, which gives w = s + 47.\n4. Substitute s = z + 10 to w, which gives w = z + 57.\n5. Substitute z = i + 2 to w, which gives w = i + 59.\n6. Substitute i = 14 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 18666,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = v + 6; w = b + 14; p = f + 18; x = s + 11; d = p + 1; s = z + 10; q = d + 9; z = i + 2; b = g + 8; v = i + 5; t = q + 5; i = 14; g = x + 14. If i = 14, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"s": "y + 2", "f": "s + 5", "x": "f + 9", "a": "x + 8", "k": "a + 10", "r": "k + 5", "p": "y + 19", "l": "p + 9", "b": "l + 10", "i": "b + 5", "g": "i + 17", "j": "g + 6", "y": 10}, "premises": {"y": 10}, "target": "r"}, "answer": {"steps": [["k", "a + 10", "a + 15"], ["a", "x + 8", "x + 23"], ["x", "f + 9", "f + 32"], ["f", "s + 5", "s + 37"], ["s", "y + 2", "y + 39"], ["y", 10, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"y": 10}, "is_reverse": true}} | 18,667 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = y + 19; y = 10; k = a + 10; x = f + 9; i = b + 5; f = s + 5; l = p + 9; j = g + 6; r = k + 5; a = x + 8; s = y + 2; g = i + 17; b = l + 10. Given that y = 10, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 10 to r, which gives r = a + 15.\n2. Substitute a = x + 8 to r, which gives r = x + 23.\n3. Substitute x = f + 9 to r, which gives r = f + 32.\n4. Substitute f = s + 5 to r, which gives r = s + 37.\n5. Substitute s = y + 2 to r, which gives r = y + 39.\n6. Substitute y = 10 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 18667,
"question": "Suppose a collection of variables is related by the following definitions: p = y + 19; y = 10; k = a + 10; x = f + 9; i = b + 5; f = s + 5; l = p + 9; j = g + 6; r = k + 5; a = x + 8; s = y + 2; g = i + 17; b = l + 10. Given that y = 10, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 2", "j": "r + 17", "d": "j + 5", "v": "d + 2", "c": "v + 4", "g": "c + 5", "a": "h + 18", "k": "a + 17", "i": "k + 12", "p": "i + 3", "x": "p + 12", "m": "x + 12", "h": 10}, "premises": {"h": 10}, "target": "g"}, "answer": {"steps": [["c", "v + 4", "v + 9"], ["v", "d + 2", "d + 11"], ["d", "j + 5", "j + 16"], ["j", "r + 17", "r + 33"], ["r", "h + 2", "h + 35"], ["h", 10, "45"]], "target_var_name": "g", "target_value": 45, "value_dict": {"h": 10}, "is_reverse": true}} | 18,668 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 17; a = h + 18; g = c + 5; h = 10; p = i + 3; i = k + 12; d = j + 5; v = d + 2; c = v + 4; m = x + 12; x = p + 12; r = h + 2; j = r + 17. If h = 10, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 45,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 4 to g, which gives g = v + 9.\n2. Substitute v = d + 2 to g, which gives g = d + 11.\n3. Substitute d = j + 5 to g, which gives g = j + 16.\n4. Substitute j = r + 17 to g, which gives g = r + 33.\n5. Substitute r = h + 2 to g, which gives g = h + 35.\n6. Substitute h = 10 to g, which gives g = 45.\n\nThus, the final answer is g = \\boxed{45}.",
"index": 18668,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 17; a = h + 18; g = c + 5; h = 10; p = i + 3; i = k + 12; d = j + 5; v = d + 2; c = v + 4; m = x + 12; x = p + 12; r = h + 2; j = r + 17. If h = 10, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "g + 18", "p": "o + 13", "r": "p + 13", "b": "r + 8", "c": "b + 14", "h": "c + 1", "z": "g + 9", "d": "z + 12", "i": "d + 10", "q": "i + 16", "v": "q + 14", "s": "v + 14", "g": 8}, "premises": {"g": 8}, "target": "h"}, "answer": {"steps": [["c", "b + 14", "b + 15"], ["b", "r + 8", "r + 23"], ["r", "p + 13", "p + 36"], ["p", "o + 13", "o + 49"], ["o", "g + 18", "g + 67"], ["g", 8, "75"]], "target_var_name": "h", "target_value": 75, "value_dict": {"g": 8}, "is_reverse": true}} | 18,669 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 12; h = c + 1; i = d + 10; z = g + 9; p = o + 13; b = r + 8; g = 8; s = v + 14; c = b + 14; q = i + 16; o = g + 18; v = q + 14; r = p + 13. Given that g = 8, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 14 to h, which gives h = b + 15.\n2. Substitute b = r + 8 to h, which gives h = r + 23.\n3. Substitute r = p + 13 to h, which gives h = p + 36.\n4. Substitute p = o + 13 to h, which gives h = o + 49.\n5. Substitute o = g + 18 to h, which gives h = g + 67.\n6. Substitute g = 8 to h, which gives h = 75.\n\nThus, the final answer is h = \\boxed{75}.",
"index": 18669,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 12; h = c + 1; i = d + 10; z = g + 9; p = o + 13; b = r + 8; g = 8; s = v + 14; c = b + 14; q = i + 16; o = g + 18; v = q + 14; r = p + 13. Given that g = 8, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"c": "k + 16", "y": "c + 19", "r": "y + 13", "u": "r + 14", "v": "u + 7", "i": "v + 2", "g": "k + 2", "t": "g + 12", "l": "t + 7", "f": "l + 8", "e": "f + 1", "b": "e + 13", "k": 7}, "premises": {"k": 7}, "target": "i"}, "answer": {"steps": [["v", "u + 7", "u + 9"], ["u", "r + 14", "r + 23"], ["r", "y + 13", "y + 36"], ["y", "c + 19", "c + 55"], ["c", "k + 16", "k + 71"], ["k", 7, "78"]], "target_var_name": "i", "target_value": 78, "value_dict": {"k": 7}, "is_reverse": true}} | 18,670 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = v + 2; u = r + 14; c = k + 16; r = y + 13; v = u + 7; f = l + 8; t = g + 12; k = 7; y = c + 19; b = e + 13; l = t + 7; g = k + 2; e = f + 1. If k = 7, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = u + 7 to i, which gives i = u + 9.\n2. Substitute u = r + 14 to i, which gives i = r + 23.\n3. Substitute r = y + 13 to i, which gives i = y + 36.\n4. Substitute y = c + 19 to i, which gives i = c + 55.\n5. Substitute c = k + 16 to i, which gives i = k + 71.\n6. Substitute k = 7 to i, which gives i = 78.\n\nThus, the final answer is i = \\boxed{78}.",
"index": 18670,
"question": "Consider a system of variables where each variable is defined as follows: i = v + 2; u = r + 14; c = k + 16; r = y + 13; v = u + 7; f = l + 8; t = g + 12; k = 7; y = c + 19; b = e + 13; l = t + 7; g = k + 2; e = f + 1. If k = 7, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 18", "s": "q + 12", "z": "s + 1", "m": "z + 6", "h": "m + 17", "j": "h + 7", "f": "x + 12", "l": "f + 17", "o": "l + 14", "n": "o + 19", "e": "n + 10", "y": "e + 11", "x": 6}, "premises": {"x": 6}, "target": "j"}, "answer": {"steps": [["h", "m + 17", "m + 24"], ["m", "z + 6", "z + 30"], ["z", "s + 1", "s + 31"], ["s", "q + 12", "q + 43"], ["q", "x + 18", "x + 61"], ["x", 6, "67"]], "target_var_name": "j", "target_value": 67, "value_dict": {"x": 6}, "is_reverse": true}} | 18,671 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = x + 18; m = z + 6; l = f + 17; e = n + 10; h = m + 17; j = h + 7; f = x + 12; y = e + 11; s = q + 12; n = o + 19; z = s + 1; x = 6; o = l + 14. If x = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 17 to j, which gives j = m + 24.\n2. Substitute m = z + 6 to j, which gives j = z + 30.\n3. Substitute z = s + 1 to j, which gives j = s + 31.\n4. Substitute s = q + 12 to j, which gives j = q + 43.\n5. Substitute q = x + 18 to j, which gives j = x + 61.\n6. Substitute x = 6 to j, which gives j = 67.\n\nThus, the final answer is j = \\boxed{67}.",
"index": 18671,
"question": "Consider a system of variables where each variable is defined as follows: q = x + 18; m = z + 6; l = f + 17; e = n + 10; h = m + 17; j = h + 7; f = x + 12; y = e + 11; s = q + 12; n = o + 19; z = s + 1; x = 6; o = l + 14. If x = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"g": "x + 1", "k": "g + 17", "j": "k + 15", "p": "j + 4", "o": "p + 9", "n": "o + 2", "m": "x + 5", "b": "m + 7", "c": "b + 15", "v": "c + 5", "z": "v + 4", "i": "z + 2", "x": 5}, "premises": {"x": 5}, "target": "n"}, "answer": {"steps": [["o", "p + 9", "p + 11"], ["p", "j + 4", "j + 15"], ["j", "k + 15", "k + 30"], ["k", "g + 17", "g + 47"], ["g", "x + 1", "x + 48"], ["x", 5, "53"]], "target_var_name": "n", "target_value": 53, "value_dict": {"x": 5}, "is_reverse": true}} | 18,672 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 15; j = k + 15; o = p + 9; p = j + 4; k = g + 17; b = m + 7; i = z + 2; v = c + 5; n = o + 2; m = x + 5; g = x + 1; z = v + 4; x = 5. If x = 5, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 9 to n, which gives n = p + 11.\n2. Substitute p = j + 4 to n, which gives n = j + 15.\n3. Substitute j = k + 15 to n, which gives n = k + 30.\n4. Substitute k = g + 17 to n, which gives n = g + 47.\n5. Substitute g = x + 1 to n, which gives n = x + 48.\n6. Substitute x = 5 to n, which gives n = 53.\n\nThus, the final answer is n = \\boxed{53}.",
"index": 18672,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = b + 15; j = k + 15; o = p + 9; p = j + 4; k = g + 17; b = m + 7; i = z + 2; v = c + 5; n = o + 2; m = x + 5; g = x + 1; z = v + 4; x = 5. If x = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"r": "p + 16", "l": "r + 1", "c": "l + 16", "y": "c + 18", "f": "y + 17", "d": "f + 4", "k": "p + 12", "u": "k + 3", "i": "u + 14", "o": "i + 9", "e": "o + 9", "n": "e + 17", "p": 15}, "premises": {"p": 15}, "target": "d"}, "answer": {"steps": [["f", "y + 17", "y + 21"], ["y", "c + 18", "c + 39"], ["c", "l + 16", "l + 55"], ["l", "r + 1", "r + 56"], ["r", "p + 16", "p + 72"], ["p", 15, "87"]], "target_var_name": "d", "target_value": 87, "value_dict": {"p": 15}, "is_reverse": true}} | 18,673 | 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 = k + 3; y = c + 18; c = l + 16; l = r + 1; o = i + 9; p = 15; r = p + 16; n = e + 17; i = u + 14; f = y + 17; d = f + 4; k = p + 12; e = o + 9. If p = 15, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 17 to d, which gives d = y + 21.\n2. Substitute y = c + 18 to d, which gives d = c + 39.\n3. Substitute c = l + 16 to d, which gives d = l + 55.\n4. Substitute l = r + 1 to d, which gives d = r + 56.\n5. Substitute r = p + 16 to d, which gives d = p + 72.\n6. Substitute p = 15 to d, which gives d = 87.\n\nThus, the final answer is d = \\boxed{87}.",
"index": 18673,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = k + 3; y = c + 18; c = l + 16; l = r + 1; o = i + 9; p = 15; r = p + 16; n = e + 17; i = u + 14; f = y + 17; d = f + 4; k = p + 12; e = o + 9. If p = 15, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"j": "i + 14", "y": "j + 2", "z": "y + 8", "r": "z + 18", "b": "r + 13", "t": "b + 5", "g": "i + 15", "l": "g + 17", "d": "l + 10", "k": "d + 6", "o": "k + 9", "u": "o + 13", "i": 12}, "premises": {"i": 12}, "target": "t"}, "answer": {"steps": [["b", "r + 13", "r + 18"], ["r", "z + 18", "z + 36"], ["z", "y + 8", "y + 44"], ["y", "j + 2", "j + 46"], ["j", "i + 14", "i + 60"], ["i", 12, "72"]], "target_var_name": "t", "target_value": 72, "value_dict": {"i": 12}, "is_reverse": true}} | 18,674 | 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 = j + 2; u = o + 13; o = k + 9; t = b + 5; g = i + 15; l = g + 17; z = y + 8; b = r + 13; d = l + 10; r = z + 18; j = i + 14; k = d + 6; i = 12. If i = 12, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 13 to t, which gives t = r + 18.\n2. Substitute r = z + 18 to t, which gives t = z + 36.\n3. Substitute z = y + 8 to t, which gives t = y + 44.\n4. Substitute y = j + 2 to t, which gives t = j + 46.\n5. Substitute j = i + 14 to t, which gives t = i + 60.\n6. Substitute i = 12 to t, which gives t = 72.\n\nThus, the final answer is t = \\boxed{72}.",
"index": 18674,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = j + 2; u = o + 13; o = k + 9; t = b + 5; g = i + 15; l = g + 17; z = y + 8; b = r + 13; d = l + 10; r = z + 18; j = i + 14; k = d + 6; i = 12. If i = 12, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"f": "q + 4", "i": "f + 17", "h": "i + 5", "j": "h + 7", "a": "j + 13", "r": "a + 11", "g": "q + 19", "m": "g + 19", "s": "m + 2", "y": "s + 4", "p": "y + 13", "v": "p + 1", "q": 4}, "premises": {"q": 4}, "target": "r"}, "answer": {"steps": [["a", "j + 13", "j + 24"], ["j", "h + 7", "h + 31"], ["h", "i + 5", "i + 36"], ["i", "f + 17", "f + 53"], ["f", "q + 4", "q + 57"], ["q", 4, "61"]], "target_var_name": "r", "target_value": 61, "value_dict": {"q": 4}, "is_reverse": true}} | 18,675 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = a + 11; v = p + 1; f = q + 4; h = i + 5; p = y + 13; j = h + 7; a = j + 13; m = g + 19; s = m + 2; g = q + 19; i = f + 17; y = s + 4; q = 4. If q = 4, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = j + 13 to r, which gives r = j + 24.\n2. Substitute j = h + 7 to r, which gives r = h + 31.\n3. Substitute h = i + 5 to r, which gives r = i + 36.\n4. Substitute i = f + 17 to r, which gives r = f + 53.\n5. Substitute f = q + 4 to r, which gives r = q + 57.\n6. Substitute q = 4 to r, which gives r = 61.\n\nThus, the final answer is r = \\boxed{61}.",
"index": 18675,
"question": "Consider a system of variables where each variable is defined as follows: r = a + 11; v = p + 1; f = q + 4; h = i + 5; p = y + 13; j = h + 7; a = j + 13; m = g + 19; s = m + 2; g = q + 19; i = f + 17; y = s + 4; q = 4. If q = 4, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"g": "u + 17", "w": "g + 6", "a": "w + 8", "i": "a + 14", "c": "i + 15", "x": "c + 16", "n": "u + 17", "b": "n + 14", "e": "b + 16", "f": "e + 7", "v": "f + 17", "h": "v + 20", "u": 3}, "premises": {"u": 3}, "target": "x"}, "answer": {"steps": [["c", "i + 15", "i + 31"], ["i", "a + 14", "a + 45"], ["a", "w + 8", "w + 53"], ["w", "g + 6", "g + 59"], ["g", "u + 17", "u + 76"], ["u", 3, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"u": 3}, "is_reverse": true}} | 18,676 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = v + 20; i = a + 14; u = 3; x = c + 16; f = e + 7; e = b + 16; g = u + 17; n = u + 17; v = f + 17; w = g + 6; b = n + 14; a = w + 8; c = i + 15. If u = 3, determine the 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 c = i + 15 to x, which gives x = i + 31.\n2. Substitute i = a + 14 to x, which gives x = a + 45.\n3. Substitute a = w + 8 to x, which gives x = w + 53.\n4. Substitute w = g + 6 to x, which gives x = g + 59.\n5. Substitute g = u + 17 to x, which gives x = u + 76.\n6. Substitute u = 3 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 18676,
"question": "Consider a system of variables where each variable is defined as follows: h = v + 20; i = a + 14; u = 3; x = c + 16; f = e + 7; e = b + 16; g = u + 17; n = u + 17; v = f + 17; w = g + 6; b = n + 14; a = w + 8; c = i + 15. If u = 3, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "t + 9", "s": "p + 16", "v": "s + 11", "d": "v + 12", "h": "d + 8", "e": "h + 9", "o": "t + 2", "z": "o + 11", "c": "z + 12", "y": "c + 19", "m": "y + 15", "r": "m + 19", "t": 19}, "premises": {"t": 19}, "target": "e"}, "answer": {"steps": [["h", "d + 8", "d + 17"], ["d", "v + 12", "v + 29"], ["v", "s + 11", "s + 40"], ["s", "p + 16", "p + 56"], ["p", "t + 9", "t + 65"], ["t", 19, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"t": 19}, "is_reverse": true}} | 18,677 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = t + 2; v = s + 11; m = y + 15; r = m + 19; p = t + 9; h = d + 8; y = c + 19; s = p + 16; c = z + 12; d = v + 12; e = h + 9; t = 19; z = o + 11. If t = 19, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 8 to e, which gives e = d + 17.\n2. Substitute d = v + 12 to e, which gives e = v + 29.\n3. Substitute v = s + 11 to e, which gives e = s + 40.\n4. Substitute s = p + 16 to e, which gives e = p + 56.\n5. Substitute p = t + 9 to e, which gives e = t + 65.\n6. Substitute t = 19 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 18677,
"question": "Consider a system of variables where each variable is defined as follows: o = t + 2; v = s + 11; m = y + 15; r = m + 19; p = t + 9; h = d + 8; y = c + 19; s = p + 16; c = z + 12; d = v + 12; e = h + 9; t = 19; z = o + 11. If t = 19, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 11", "e": "j + 2", "q": "e + 1", "k": "q + 15", "z": "k + 8", "o": "z + 15", "i": "t + 12", "v": "i + 19", "f": "v + 12", "y": "f + 12", "r": "y + 6", "d": "r + 11", "t": 15}, "premises": {"t": 15}, "target": "o"}, "answer": {"steps": [["z", "k + 8", "k + 23"], ["k", "q + 15", "q + 38"], ["q", "e + 1", "e + 39"], ["e", "j + 2", "j + 41"], ["j", "t + 11", "t + 52"], ["t", 15, "67"]], "target_var_name": "o", "target_value": 67, "value_dict": {"t": 15}, "is_reverse": true}} | 18,678 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = v + 12; o = z + 15; j = t + 11; z = k + 8; v = i + 19; d = r + 11; y = f + 12; i = t + 12; t = 15; k = q + 15; r = y + 6; e = j + 2; q = e + 1. If t = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = k + 8 to o, which gives o = k + 23.\n2. Substitute k = q + 15 to o, which gives o = q + 38.\n3. Substitute q = e + 1 to o, which gives o = e + 39.\n4. Substitute e = j + 2 to o, which gives o = j + 41.\n5. Substitute j = t + 11 to o, which gives o = t + 52.\n6. Substitute t = 15 to o, which gives o = 67.\n\nThus, the final answer is o = \\boxed{67}.",
"index": 18678,
"question": "Consider a system of variables where each variable is defined as follows: f = v + 12; o = z + 15; j = t + 11; z = k + 8; v = i + 19; d = r + 11; y = f + 12; i = t + 12; t = 15; k = q + 15; r = y + 6; e = j + 2; q = e + 1. If t = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "n + 16", "t": "v + 16", "q": "t + 1", "r": "q + 17", "c": "r + 14", "x": "c + 4", "s": "n + 13", "y": "s + 11", "o": "y + 14", "j": "o + 17", "h": "j + 3", "i": "h + 5", "n": 7}, "premises": {"n": 7}, "target": "x"}, "answer": {"steps": [["c", "r + 14", "r + 18"], ["r", "q + 17", "q + 35"], ["q", "t + 1", "t + 36"], ["t", "v + 16", "v + 52"], ["v", "n + 16", "n + 68"], ["n", 7, "75"]], "target_var_name": "x", "target_value": 75, "value_dict": {"n": 7}, "is_reverse": true}} | 18,679 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = c + 4; o = y + 14; s = n + 13; y = s + 11; q = t + 1; h = j + 3; i = h + 5; r = q + 17; c = r + 14; j = o + 17; t = v + 16; v = n + 16; n = 7. If n = 7, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 14 to x, which gives x = r + 18.\n2. Substitute r = q + 17 to x, which gives x = q + 35.\n3. Substitute q = t + 1 to x, which gives x = t + 36.\n4. Substitute t = v + 16 to x, which gives x = v + 52.\n5. Substitute v = n + 16 to x, which gives x = n + 68.\n6. Substitute n = 7 to x, which gives x = 75.\n\nThus, the final answer is x = \\boxed{75}.",
"index": 18679,
"question": "Consider a system of variables where each variable is defined as follows: x = c + 4; o = y + 14; s = n + 13; y = s + 11; q = t + 1; h = j + 3; i = h + 5; r = q + 17; c = r + 14; j = o + 17; t = v + 16; v = n + 16; n = 7. If n = 7, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 17", "b": "p + 4", "w": "b + 17", "j": "w + 4", "o": "j + 9", "r": "o + 12", "q": "s + 10", "g": "q + 20", "t": "g + 13", "v": "t + 10", "x": "v + 15", "f": "x + 17", "s": 17}, "premises": {"s": 17}, "target": "r"}, "answer": {"steps": [["o", "j + 9", "j + 21"], ["j", "w + 4", "w + 25"], ["w", "b + 17", "b + 42"], ["b", "p + 4", "p + 46"], ["p", "s + 17", "s + 63"], ["s", 17, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"s": 17}, "is_reverse": true}} | 18,680 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = s + 17; q = s + 10; x = v + 15; f = x + 17; b = p + 4; o = j + 9; g = q + 20; v = t + 10; w = b + 17; j = w + 4; t = g + 13; r = o + 12; s = 17. If s = 17, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = j + 9 to r, which gives r = j + 21.\n2. Substitute j = w + 4 to r, which gives r = w + 25.\n3. Substitute w = b + 17 to r, which gives r = b + 42.\n4. Substitute b = p + 4 to r, which gives r = p + 46.\n5. Substitute p = s + 17 to r, which gives r = s + 63.\n6. Substitute s = 17 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 18680,
"question": "Consider a system of variables where each variable is defined as follows: p = s + 17; q = s + 10; x = v + 15; f = x + 17; b = p + 4; o = j + 9; g = q + 20; v = t + 10; w = b + 17; j = w + 4; t = g + 13; r = o + 12; s = 17. If s = 17, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 1", "w": "x + 16", "v": "w + 2", "p": "v + 5", "l": "p + 20", "y": "l + 13", "t": "g + 12", "d": "t + 2", "c": "d + 1", "i": "c + 7", "q": "i + 1", "s": "q + 4", "g": 15}, "premises": {"g": 15}, "target": "y"}, "answer": {"steps": [["l", "p + 20", "p + 33"], ["p", "v + 5", "v + 38"], ["v", "w + 2", "w + 40"], ["w", "x + 16", "x + 56"], ["x", "g + 1", "g + 57"], ["g", 15, "72"]], "target_var_name": "y", "target_value": 72, "value_dict": {"g": 15}, "is_reverse": true}} | 18,681 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = g + 12; g = 15; s = q + 4; q = i + 1; w = x + 16; p = v + 5; x = g + 1; l = p + 20; i = c + 7; c = d + 1; v = w + 2; d = t + 2; y = l + 13. If g = 15, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 20 to y, which gives y = p + 33.\n2. Substitute p = v + 5 to y, which gives y = v + 38.\n3. Substitute v = w + 2 to y, which gives y = w + 40.\n4. Substitute w = x + 16 to y, which gives y = x + 56.\n5. Substitute x = g + 1 to y, which gives y = g + 57.\n6. Substitute g = 15 to y, which gives y = 72.\n\nThus, the final answer is y = \\boxed{72}.",
"index": 18681,
"question": "Consider a system of variables where each variable is defined as follows: t = g + 12; g = 15; s = q + 4; q = i + 1; w = x + 16; p = v + 5; x = g + 1; l = p + 20; i = c + 7; c = d + 1; v = w + 2; d = t + 2; y = l + 13. If g = 15, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "h + 6", "p": "e + 17", "v": "p + 20", "s": "v + 20", "a": "s + 4", "y": "a + 18", "k": "h + 2", "i": "k + 3", "q": "i + 15", "j": "q + 7", "t": "j + 2", "m": "t + 11", "h": 4}, "premises": {"h": 4}, "target": "y"}, "answer": {"steps": [["a", "s + 4", "s + 22"], ["s", "v + 20", "v + 42"], ["v", "p + 20", "p + 62"], ["p", "e + 17", "e + 79"], ["e", "h + 6", "h + 85"], ["h", 4, "89"]], "target_var_name": "y", "target_value": 89, "value_dict": {"h": 4}, "is_reverse": true}} | 18,682 | 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 = a + 18; q = i + 15; s = v + 20; j = q + 7; h = 4; k = h + 2; a = s + 4; i = k + 3; t = j + 2; e = h + 6; v = p + 20; m = t + 11; p = e + 17. If h = 4, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 4 to y, which gives y = s + 22.\n2. Substitute s = v + 20 to y, which gives y = v + 42.\n3. Substitute v = p + 20 to y, which gives y = p + 62.\n4. Substitute p = e + 17 to y, which gives y = e + 79.\n5. Substitute e = h + 6 to y, which gives y = h + 85.\n6. Substitute h = 4 to y, which gives y = 89.\n\nThus, the final answer is y = \\boxed{89}.",
"index": 18682,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = a + 18; q = i + 15; s = v + 20; j = q + 7; h = 4; k = h + 2; a = s + 4; i = k + 3; t = j + 2; e = h + 6; v = p + 20; m = t + 11; p = e + 17. If h = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 12", "z": "v + 8", "i": "z + 14", "o": "i + 9", "q": "o + 10", "s": "q + 20", "m": "c + 14", "d": "m + 5", "p": "d + 2", "f": "p + 14", "l": "f + 7", "r": "l + 8", "c": 12}, "premises": {"c": 12}, "target": "s"}, "answer": {"steps": [["q", "o + 10", "o + 30"], ["o", "i + 9", "i + 39"], ["i", "z + 14", "z + 53"], ["z", "v + 8", "v + 61"], ["v", "c + 12", "c + 73"], ["c", 12, "85"]], "target_var_name": "s", "target_value": 85, "value_dict": {"c": 12}, "is_reverse": true}} | 18,683 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = q + 20; m = c + 14; p = d + 2; v = c + 12; z = v + 8; d = m + 5; i = z + 14; q = o + 10; c = 12; r = l + 8; o = i + 9; l = f + 7; f = p + 14. Given that c = 12, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = o + 10 to s, which gives s = o + 30.\n2. Substitute o = i + 9 to s, which gives s = i + 39.\n3. Substitute i = z + 14 to s, which gives s = z + 53.\n4. Substitute z = v + 8 to s, which gives s = v + 61.\n5. Substitute v = c + 12 to s, which gives s = c + 73.\n6. Substitute c = 12 to s, which gives s = 85.\n\nThus, the final answer is s = \\boxed{85}.",
"index": 18683,
"question": "Suppose a collection of variables is related by the following definitions: s = q + 20; m = c + 14; p = d + 2; v = c + 12; z = v + 8; d = m + 5; i = z + 14; q = o + 10; c = 12; r = l + 8; o = i + 9; l = f + 7; f = p + 14. Given that c = 12, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"s": "c + 20", "a": "s + 14", "v": "a + 5", "m": "v + 10", "l": "m + 13", "x": "l + 18", "t": "c + 10", "g": "t + 10", "j": "g + 7", "f": "j + 7", "n": "f + 8", "o": "n + 5", "c": 18}, "premises": {"c": 18}, "target": "x"}, "answer": {"steps": [["l", "m + 13", "m + 31"], ["m", "v + 10", "v + 41"], ["v", "a + 5", "a + 46"], ["a", "s + 14", "s + 60"], ["s", "c + 20", "c + 80"], ["c", 18, "98"]], "target_var_name": "x", "target_value": 98, "value_dict": {"c": 18}, "is_reverse": true}} | 18,684 | 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 = g + 7; f = j + 7; c = 18; g = t + 10; s = c + 20; o = n + 5; n = f + 8; x = l + 18; v = a + 5; a = s + 14; t = c + 10; l = m + 13; m = v + 10. If c = 18, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 13 to x, which gives x = m + 31.\n2. Substitute m = v + 10 to x, which gives x = v + 41.\n3. Substitute v = a + 5 to x, which gives x = a + 46.\n4. Substitute a = s + 14 to x, which gives x = s + 60.\n5. Substitute s = c + 20 to x, which gives x = c + 80.\n6. Substitute c = 18 to x, which gives x = 98.\n\nThus, the final answer is x = \\boxed{98}.",
"index": 18684,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = g + 7; f = j + 7; c = 18; g = t + 10; s = c + 20; o = n + 5; n = f + 8; x = l + 18; v = a + 5; a = s + 14; t = c + 10; l = m + 13; m = v + 10. If c = 18, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"a": "h + 13", "b": "a + 7", "l": "b + 12", "r": "l + 12", "d": "r + 9", "u": "d + 1", "g": "h + 8", "v": "g + 13", "s": "v + 14", "m": "s + 3", "o": "m + 4", "t": "o + 14", "h": 10}, "premises": {"h": 10}, "target": "u"}, "answer": {"steps": [["d", "r + 9", "r + 10"], ["r", "l + 12", "l + 22"], ["l", "b + 12", "b + 34"], ["b", "a + 7", "a + 41"], ["a", "h + 13", "h + 54"], ["h", 10, "64"]], "target_var_name": "u", "target_value": 64, "value_dict": {"h": 10}, "is_reverse": true}} | 18,685 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = o + 14; o = m + 4; b = a + 7; d = r + 9; m = s + 3; r = l + 12; g = h + 8; v = g + 13; u = d + 1; l = b + 12; s = v + 14; a = h + 13; h = 10. Given that h = 10, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = r + 9 to u, which gives u = r + 10.\n2. Substitute r = l + 12 to u, which gives u = l + 22.\n3. Substitute l = b + 12 to u, which gives u = b + 34.\n4. Substitute b = a + 7 to u, which gives u = a + 41.\n5. Substitute a = h + 13 to u, which gives u = h + 54.\n6. Substitute h = 10 to u, which gives u = 64.\n\nThus, the final answer is u = \\boxed{64}.",
"index": 18685,
"question": "Suppose a collection of variables is related by the following definitions: t = o + 14; o = m + 4; b = a + 7; d = r + 9; m = s + 3; r = l + 12; g = h + 8; v = g + 13; u = d + 1; l = b + 12; s = v + 14; a = h + 13; h = 10. Given that h = 10, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 16", "j": "o + 19", "y": "j + 14", "l": "y + 14", "p": "l + 13", "x": "p + 6", "i": "q + 10", "s": "i + 19", "n": "s + 15", "b": "n + 5", "g": "b + 2", "c": "g + 10", "q": 9}, "premises": {"q": 9}, "target": "x"}, "answer": {"steps": [["p", "l + 13", "l + 19"], ["l", "y + 14", "y + 33"], ["y", "j + 14", "j + 47"], ["j", "o + 19", "o + 66"], ["o", "q + 16", "q + 82"], ["q", 9, "91"]], "target_var_name": "x", "target_value": 91, "value_dict": {"q": 9}, "is_reverse": true}} | 18,686 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 5; s = i + 19; q = 9; x = p + 6; l = y + 14; y = j + 14; i = q + 10; n = s + 15; o = q + 16; p = l + 13; c = g + 10; g = b + 2; j = o + 19. If q = 9, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = l + 13 to x, which gives x = l + 19.\n2. Substitute l = y + 14 to x, which gives x = y + 33.\n3. Substitute y = j + 14 to x, which gives x = j + 47.\n4. Substitute j = o + 19 to x, which gives x = o + 66.\n5. Substitute o = q + 16 to x, which gives x = q + 82.\n6. Substitute q = 9 to x, which gives x = 91.\n\nThus, the final answer is x = \\boxed{91}.",
"index": 18686,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = n + 5; s = i + 19; q = 9; x = p + 6; l = y + 14; y = j + 14; i = q + 10; n = s + 15; o = q + 16; p = l + 13; c = g + 10; g = b + 2; j = o + 19. If q = 9, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"l": "y + 15", "j": "l + 8", "e": "j + 3", "d": "e + 1", "r": "d + 5", "a": "r + 3", "i": "y + 12", "w": "i + 14", "z": "w + 17", "h": "z + 19", "o": "h + 13", "q": "o + 7", "y": 6}, "premises": {"y": 6}, "target": "a"}, "answer": {"steps": [["r", "d + 5", "d + 8"], ["d", "e + 1", "e + 9"], ["e", "j + 3", "j + 12"], ["j", "l + 8", "l + 20"], ["l", "y + 15", "y + 35"], ["y", 6, "41"]], "target_var_name": "a", "target_value": 41, "value_dict": {"y": 6}, "is_reverse": true}} | 18,687 | 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 = l + 8; q = o + 7; r = d + 5; h = z + 19; a = r + 3; d = e + 1; z = w + 17; e = j + 3; i = y + 12; y = 6; w = i + 14; o = h + 13; l = y + 15. If y = 6, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 5 to a, which gives a = d + 8.\n2. Substitute d = e + 1 to a, which gives a = e + 9.\n3. Substitute e = j + 3 to a, which gives a = j + 12.\n4. Substitute j = l + 8 to a, which gives a = l + 20.\n5. Substitute l = y + 15 to a, which gives a = y + 35.\n6. Substitute y = 6 to a, which gives a = 41.\n\nThus, the final answer is a = \\boxed{41}.",
"index": 18687,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = l + 8; q = o + 7; r = d + 5; h = z + 19; a = r + 3; d = e + 1; z = w + 17; e = j + 3; i = y + 12; y = 6; w = i + 14; o = h + 13; l = y + 15. If y = 6, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"q": "v + 12", "j": "q + 6", "e": "j + 2", "p": "e + 18", "z": "p + 14", "c": "z + 13", "l": "v + 16", "b": "l + 9", "h": "b + 2", "i": "h + 20", "y": "i + 10", "x": "y + 10", "v": 8}, "premises": {"v": 8}, "target": "c"}, "answer": {"steps": [["z", "p + 14", "p + 27"], ["p", "e + 18", "e + 45"], ["e", "j + 2", "j + 47"], ["j", "q + 6", "q + 53"], ["q", "v + 12", "v + 65"], ["v", 8, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"v": 8}, "is_reverse": true}} | 18,688 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = j + 2; p = e + 18; z = p + 14; y = i + 10; b = l + 9; v = 8; c = z + 13; i = h + 20; j = q + 6; l = v + 16; h = b + 2; q = v + 12; x = y + 10. If v = 8, determine 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 z = p + 14 to c, which gives c = p + 27.\n2. Substitute p = e + 18 to c, which gives c = e + 45.\n3. Substitute e = j + 2 to c, which gives c = j + 47.\n4. Substitute j = q + 6 to c, which gives c = q + 53.\n5. Substitute q = v + 12 to c, which gives c = v + 65.\n6. Substitute v = 8 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 18688,
"question": "Consider a system of variables where each variable is defined as follows: e = j + 2; p = e + 18; z = p + 14; y = i + 10; b = l + 9; v = 8; c = z + 13; i = h + 20; j = q + 6; l = v + 16; h = b + 2; q = v + 12; x = y + 10. If v = 8, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"o": "q + 17", "n": "o + 19", "x": "n + 12", "f": "x + 20", "c": "f + 1", "s": "c + 16", "t": "q + 19", "b": "t + 18", "h": "b + 15", "j": "h + 2", "y": "j + 10", "e": "y + 3", "q": 20}, "premises": {"q": 20}, "target": "s"}, "answer": {"steps": [["c", "f + 1", "f + 17"], ["f", "x + 20", "x + 37"], ["x", "n + 12", "n + 49"], ["n", "o + 19", "o + 68"], ["o", "q + 17", "q + 85"], ["q", 20, "105"]], "target_var_name": "s", "target_value": 105, "value_dict": {"q": 20}, "is_reverse": true}} | 18,689 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = j + 10; b = t + 18; o = q + 17; f = x + 20; j = h + 2; h = b + 15; n = o + 19; c = f + 1; x = n + 12; e = y + 3; q = 20; s = c + 16; t = q + 19. Given that q = 20, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 105,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 1 to s, which gives s = f + 17.\n2. Substitute f = x + 20 to s, which gives s = x + 37.\n3. Substitute x = n + 12 to s, which gives s = n + 49.\n4. Substitute n = o + 19 to s, which gives s = o + 68.\n5. Substitute o = q + 17 to s, which gives s = q + 85.\n6. Substitute q = 20 to s, which gives s = 105.\n\nThus, the final answer is s = \\boxed{105}.",
"index": 18689,
"question": "Suppose a collection of variables is related by the following definitions: y = j + 10; b = t + 18; o = q + 17; f = x + 20; j = h + 2; h = b + 15; n = o + 19; c = f + 1; x = n + 12; e = y + 3; q = 20; s = c + 16; t = q + 19. Given that q = 20, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 4", "w": "o + 20", "j": "w + 7", "g": "j + 7", "p": "g + 11", "m": "p + 10", "z": "h + 16", "i": "z + 2", "e": "i + 18", "a": "e + 18", "k": "a + 7", "y": "k + 16", "h": 15}, "premises": {"h": 15}, "target": "m"}, "answer": {"steps": [["p", "g + 11", "g + 21"], ["g", "j + 7", "j + 28"], ["j", "w + 7", "w + 35"], ["w", "o + 20", "o + 55"], ["o", "h + 4", "h + 59"], ["h", 15, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"h": 15}, "is_reverse": true}} | 18,690 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = e + 18; g = j + 7; h = 15; i = z + 2; z = h + 16; e = i + 18; k = a + 7; p = g + 11; y = k + 16; w = o + 20; j = w + 7; o = h + 4; m = p + 10. If h = 15, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = g + 11 to m, which gives m = g + 21.\n2. Substitute g = j + 7 to m, which gives m = j + 28.\n3. Substitute j = w + 7 to m, which gives m = w + 35.\n4. Substitute w = o + 20 to m, which gives m = o + 55.\n5. Substitute o = h + 4 to m, which gives m = h + 59.\n6. Substitute h = 15 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 18690,
"question": "Consider a system of variables where each variable is defined as follows: a = e + 18; g = j + 7; h = 15; i = z + 2; z = h + 16; e = i + 18; k = a + 7; p = g + 11; y = k + 16; w = o + 20; j = w + 7; o = h + 4; m = p + 10. If h = 15, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"u": "b + 3", "l": "u + 12", "e": "l + 18", "q": "e + 2", "s": "q + 5", "n": "s + 5", "h": "b + 15", "c": "h + 12", "t": "c + 5", "p": "t + 1", "k": "p + 2", "r": "k + 17", "b": 5}, "premises": {"b": 5}, "target": "n"}, "answer": {"steps": [["s", "q + 5", "q + 10"], ["q", "e + 2", "e + 12"], ["e", "l + 18", "l + 30"], ["l", "u + 12", "u + 42"], ["u", "b + 3", "b + 45"], ["b", 5, "50"]], "target_var_name": "n", "target_value": 50, "value_dict": {"b": 5}, "is_reverse": true}} | 18,691 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 5; c = h + 12; k = p + 2; l = u + 12; u = b + 3; r = k + 17; e = l + 18; h = b + 15; p = t + 1; t = c + 5; n = s + 5; s = q + 5; q = e + 2. If b = 5, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = q + 5 to n, which gives n = q + 10.\n2. Substitute q = e + 2 to n, which gives n = e + 12.\n3. Substitute e = l + 18 to n, which gives n = l + 30.\n4. Substitute l = u + 12 to n, which gives n = u + 42.\n5. Substitute u = b + 3 to n, which gives n = b + 45.\n6. Substitute b = 5 to n, which gives n = 50.\n\nThus, the final answer is n = \\boxed{50}.",
"index": 18691,
"question": "Consider a system of variables where each variable is defined as follows: b = 5; c = h + 12; k = p + 2; l = u + 12; u = b + 3; r = k + 17; e = l + 18; h = b + 15; p = t + 1; t = c + 5; n = s + 5; s = q + 5; q = e + 2. If b = 5, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 2", "h": "g + 19", "r": "h + 1", "o": "r + 3", "s": "o + 6", "j": "s + 7", "f": "n + 14", "i": "f + 14", "a": "i + 16", "v": "a + 14", "d": "v + 10", "u": "d + 13", "n": 5}, "premises": {"n": 5}, "target": "j"}, "answer": {"steps": [["s", "o + 6", "o + 13"], ["o", "r + 3", "r + 16"], ["r", "h + 1", "h + 17"], ["h", "g + 19", "g + 36"], ["g", "n + 2", "n + 38"], ["n", 5, "43"]], "target_var_name": "j", "target_value": 43, "value_dict": {"n": 5}, "is_reverse": true}} | 18,692 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = f + 14; o = r + 3; d = v + 10; r = h + 1; s = o + 6; f = n + 14; a = i + 16; u = d + 13; v = a + 14; h = g + 19; g = n + 2; n = 5; j = s + 7. If n = 5, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = o + 6 to j, which gives j = o + 13.\n2. Substitute o = r + 3 to j, which gives j = r + 16.\n3. Substitute r = h + 1 to j, which gives j = h + 17.\n4. Substitute h = g + 19 to j, which gives j = g + 36.\n5. Substitute g = n + 2 to j, which gives j = n + 38.\n6. Substitute n = 5 to j, which gives j = 43.\n\nThus, the final answer is j = \\boxed{43}.",
"index": 18692,
"question": "Consider a system of variables where each variable is defined as follows: i = f + 14; o = r + 3; d = v + 10; r = h + 1; s = o + 6; f = n + 14; a = i + 16; u = d + 13; v = a + 14; h = g + 19; g = n + 2; n = 5; j = s + 7. If n = 5, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 10", "r": "n + 11", "x": "r + 15", "s": "x + 19", "c": "s + 11", "g": "c + 11", "f": "a + 8", "y": "f + 9", "w": "y + 11", "z": "w + 11", "q": "z + 18", "i": "q + 1", "a": 4}, "premises": {"a": 4}, "target": "g"}, "answer": {"steps": [["c", "s + 11", "s + 22"], ["s", "x + 19", "x + 41"], ["x", "r + 15", "r + 56"], ["r", "n + 11", "n + 67"], ["n", "a + 10", "a + 77"], ["a", 4, "81"]], "target_var_name": "g", "target_value": 81, "value_dict": {"a": 4}, "is_reverse": true}} | 18,693 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 11; g = c + 11; q = z + 18; x = r + 15; n = a + 10; a = 4; c = s + 11; w = y + 11; i = q + 1; f = a + 8; y = f + 9; r = n + 11; s = x + 19. Given that a = 4, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = s + 11 to g, which gives g = s + 22.\n2. Substitute s = x + 19 to g, which gives g = x + 41.\n3. Substitute x = r + 15 to g, which gives g = r + 56.\n4. Substitute r = n + 11 to g, which gives g = n + 67.\n5. Substitute n = a + 10 to g, which gives g = a + 77.\n6. Substitute a = 4 to g, which gives g = 81.\n\nThus, the final answer is g = \\boxed{81}.",
"index": 18693,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 11; g = c + 11; q = z + 18; x = r + 15; n = a + 10; a = 4; c = s + 11; w = y + 11; i = q + 1; f = a + 8; y = f + 9; r = n + 11; s = x + 19. Given that a = 4, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"h": "e + 12", "v": "h + 19", "g": "v + 3", "a": "g + 18", "c": "a + 12", "y": "c + 3", "o": "e + 14", "b": "o + 9", "f": "b + 13", "k": "f + 10", "x": "k + 9", "i": "x + 10", "e": 10}, "premises": {"e": 10}, "target": "y"}, "answer": {"steps": [["c", "a + 12", "a + 15"], ["a", "g + 18", "g + 33"], ["g", "v + 3", "v + 36"], ["v", "h + 19", "h + 55"], ["h", "e + 12", "e + 67"], ["e", 10, "77"]], "target_var_name": "y", "target_value": 77, "value_dict": {"e": 10}, "is_reverse": true}} | 18,694 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = k + 9; b = o + 9; a = g + 18; c = a + 12; i = x + 10; e = 10; o = e + 14; h = e + 12; y = c + 3; f = b + 13; v = h + 19; k = f + 10; g = v + 3. If e = 10, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 12 to y, which gives y = a + 15.\n2. Substitute a = g + 18 to y, which gives y = g + 33.\n3. Substitute g = v + 3 to y, which gives y = v + 36.\n4. Substitute v = h + 19 to y, which gives y = h + 55.\n5. Substitute h = e + 12 to y, which gives y = e + 67.\n6. Substitute e = 10 to y, which gives y = 77.\n\nThus, the final answer is y = \\boxed{77}.",
"index": 18694,
"question": "Consider a system of variables where each variable is defined as follows: x = k + 9; b = o + 9; a = g + 18; c = a + 12; i = x + 10; e = 10; o = e + 14; h = e + 12; y = c + 3; f = b + 13; v = h + 19; k = f + 10; g = v + 3. If e = 10, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"h": "s + 4", "k": "h + 7", "n": "k + 17", "d": "n + 3", "c": "d + 20", "i": "c + 5", "e": "s + 7", "f": "e + 7", "b": "f + 8", "z": "b + 2", "y": "z + 20", "a": "y + 12", "s": 8}, "premises": {"s": 8}, "target": "i"}, "answer": {"steps": [["c", "d + 20", "d + 25"], ["d", "n + 3", "n + 28"], ["n", "k + 17", "k + 45"], ["k", "h + 7", "h + 52"], ["h", "s + 4", "s + 56"], ["s", 8, "64"]], "target_var_name": "i", "target_value": 64, "value_dict": {"s": 8}, "is_reverse": true}} | 18,695 | 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 = s + 7; f = e + 7; d = n + 3; z = b + 2; k = h + 7; c = d + 20; s = 8; h = s + 4; n = k + 17; i = c + 5; b = f + 8; y = z + 20; a = y + 12. If s = 8, what is the resulting 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 c = d + 20 to i, which gives i = d + 25.\n2. Substitute d = n + 3 to i, which gives i = n + 28.\n3. Substitute n = k + 17 to i, which gives i = k + 45.\n4. Substitute k = h + 7 to i, which gives i = h + 52.\n5. Substitute h = s + 4 to i, which gives i = s + 56.\n6. Substitute s = 8 to i, which gives i = 64.\n\nThus, the final answer is i = \\boxed{64}.",
"index": 18695,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = s + 7; f = e + 7; d = n + 3; z = b + 2; k = h + 7; c = d + 20; s = 8; h = s + 4; n = k + 17; i = c + 5; b = f + 8; y = z + 20; a = y + 12. If s = 8, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "q + 5", "d": "x + 19", "h": "d + 10", "j": "h + 16", "m": "j + 7", "s": "m + 3", "v": "q + 2", "r": "v + 3", "z": "r + 8", "f": "z + 9", "o": "f + 4", "p": "o + 18", "q": 15}, "premises": {"q": 15}, "target": "s"}, "answer": {"steps": [["m", "j + 7", "j + 10"], ["j", "h + 16", "h + 26"], ["h", "d + 10", "d + 36"], ["d", "x + 19", "x + 55"], ["x", "q + 5", "q + 60"], ["q", 15, "75"]], "target_var_name": "s", "target_value": 75, "value_dict": {"q": 15}, "is_reverse": true}} | 18,696 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 3; v = q + 2; o = f + 4; z = r + 8; j = h + 16; d = x + 19; p = o + 18; x = q + 5; s = m + 3; m = j + 7; q = 15; f = z + 9; h = d + 10. If q = 15, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = j + 7 to s, which gives s = j + 10.\n2. Substitute j = h + 16 to s, which gives s = h + 26.\n3. Substitute h = d + 10 to s, which gives s = d + 36.\n4. Substitute d = x + 19 to s, which gives s = x + 55.\n5. Substitute x = q + 5 to s, which gives s = q + 60.\n6. Substitute q = 15 to s, which gives s = 75.\n\nThus, the final answer is s = \\boxed{75}.",
"index": 18696,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 3; v = q + 2; o = f + 4; z = r + 8; j = h + 16; d = x + 19; p = o + 18; x = q + 5; s = m + 3; m = j + 7; q = 15; f = z + 9; h = d + 10. If q = 15, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 20", "u": "q + 11", "w": "u + 16", "a": "w + 3", "t": "a + 13", "v": "t + 5", "b": "k + 10", "e": "b + 10", "g": "e + 1", "r": "g + 18", "p": "r + 13", "j": "p + 20", "k": 13}, "premises": {"k": 13}, "target": "v"}, "answer": {"steps": [["t", "a + 13", "a + 18"], ["a", "w + 3", "w + 21"], ["w", "u + 16", "u + 37"], ["u", "q + 11", "q + 48"], ["q", "k + 20", "k + 68"], ["k", 13, "81"]], "target_var_name": "v", "target_value": 81, "value_dict": {"k": 13}, "is_reverse": true}} | 18,697 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = g + 18; u = q + 11; a = w + 3; q = k + 20; t = a + 13; b = k + 10; j = p + 20; v = t + 5; k = 13; e = b + 10; g = e + 1; w = u + 16; p = r + 13. Given that k = 13, 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 t = a + 13 to v, which gives v = a + 18.\n2. Substitute a = w + 3 to v, which gives v = w + 21.\n3. Substitute w = u + 16 to v, which gives v = u + 37.\n4. Substitute u = q + 11 to v, which gives v = q + 48.\n5. Substitute q = k + 20 to v, which gives v = k + 68.\n6. Substitute k = 13 to v, which gives v = 81.\n\nThus, the final answer is v = \\boxed{81}.",
"index": 18697,
"question": "Suppose a collection of variables is related by the following definitions: r = g + 18; u = q + 11; a = w + 3; q = k + 20; t = a + 13; b = k + 10; j = p + 20; v = t + 5; k = 13; e = b + 10; g = e + 1; w = u + 16; p = r + 13. Given that k = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"y": "b + 10", "x": "y + 13", "s": "x + 9", "n": "s + 14", "v": "n + 2", "w": "v + 17", "c": "b + 14", "o": "c + 8", "u": "o + 2", "r": "u + 3", "i": "r + 16", "h": "i + 6", "b": 14}, "premises": {"b": 14}, "target": "w"}, "answer": {"steps": [["v", "n + 2", "n + 19"], ["n", "s + 14", "s + 33"], ["s", "x + 9", "x + 42"], ["x", "y + 13", "y + 55"], ["y", "b + 10", "b + 65"], ["b", 14, "79"]], "target_var_name": "w", "target_value": 79, "value_dict": {"b": 14}, "is_reverse": true}} | 18,698 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = y + 13; u = o + 2; n = s + 14; c = b + 14; w = v + 17; i = r + 16; b = 14; h = i + 6; r = u + 3; v = n + 2; s = x + 9; y = b + 10; o = c + 8. If b = 14, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 2 to w, which gives w = n + 19.\n2. Substitute n = s + 14 to w, which gives w = s + 33.\n3. Substitute s = x + 9 to w, which gives w = x + 42.\n4. Substitute x = y + 13 to w, which gives w = y + 55.\n5. Substitute y = b + 10 to w, which gives w = b + 65.\n6. Substitute b = 14 to w, which gives w = 79.\n\nThus, the final answer is w = \\boxed{79}.",
"index": 18698,
"question": "Consider a system of variables where each variable is defined as follows: x = y + 13; u = o + 2; n = s + 14; c = b + 14; w = v + 17; i = r + 16; b = 14; h = i + 6; r = u + 3; v = n + 2; s = x + 9; y = b + 10; o = c + 8. If b = 14, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 14", "o": "a + 14", "s": "o + 6", "w": "s + 17", "l": "w + 18", "u": "l + 18", "z": "t + 11", "f": "z + 1", "p": "f + 9", "j": "p + 18", "h": "j + 18", "b": "h + 7", "t": 16}, "premises": {"t": 16}, "target": "u"}, "answer": {"steps": [["l", "w + 18", "w + 36"], ["w", "s + 17", "s + 53"], ["s", "o + 6", "o + 59"], ["o", "a + 14", "a + 73"], ["a", "t + 14", "t + 87"], ["t", 16, "103"]], "target_var_name": "u", "target_value": 103, "value_dict": {"t": 16}, "is_reverse": true}} | 18,699 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = j + 18; f = z + 1; l = w + 18; a = t + 14; z = t + 11; b = h + 7; p = f + 9; u = l + 18; o = a + 14; j = p + 18; t = 16; s = o + 6; w = s + 17. If t = 16, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 103,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = w + 18 to u, which gives u = w + 36.\n2. Substitute w = s + 17 to u, which gives u = s + 53.\n3. Substitute s = o + 6 to u, which gives u = o + 59.\n4. Substitute o = a + 14 to u, which gives u = a + 73.\n5. Substitute a = t + 14 to u, which gives u = t + 87.\n6. Substitute t = 16 to u, which gives u = 103.\n\nThus, the final answer is u = \\boxed{103}.",
"index": 18699,
"question": "Consider a system of variables where each variable is defined as follows: h = j + 18; f = z + 1; l = w + 18; a = t + 14; z = t + 11; b = h + 7; p = f + 9; u = l + 18; o = a + 14; j = p + 18; t = 16; s = o + 6; w = s + 17. If t = 16, determine the value of u.",
"split": "train"
} |
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