meta stringlengths 493 517 | id int64 0 25.6k | problem_solution_idx int64 0 0 | world_id stringclasses 1 value | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"m": "b + 19", "v": "m + 2", "c": "v + 2", "f": "c + 18", "w": "f + 6", "n": "w + 6", "a": "b + 3", "i": "a + 19", "l": "i + 18", "h": "l + 20", "x": "h + 15", "u": "x + 5", "b": 10}, "premises": {"b": 10}, "target": "n"}, "answer": {"steps": [["w", "f + 6", "f + 12"], ["f", "c + 18", "c + 30"], ["c", "v + 2", "v + 32"], ["v", "m + 2", "m + 34"], ["m", "b + 19", "b + 53"], ["b", 10, "63"]], "target_var_name": "n", "target_value": 63, "value_dict": {"b": 10}, "is_reverse": true}} | 18,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = 10; x = h + 15; c = v + 2; f = c + 18; a = b + 3; u = x + 5; n = w + 6; m = b + 19; h = l + 20; i = a + 19; l = i + 18; w = f + 6; v = m + 2. If b = 10, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = f + 6 to n, which gives n = f + 12.\n2. Substitute f = c + 18 to n, which gives n = c + 30.\n3. Substitute c = v + 2 to n, which gives n = v + 32.\n4. Substitute v = m + 2 to n, which gives n = m + 34.\n5. Substitute m = b + 19 to n, which gives n = b + 53.\n6. Substitute b = 10 to n, which gives n = 63.\n\nThus, the final answer is n = \\boxed{63}.",
"index": 18900,
"question": "Consider a system of variables where each variable is defined as follows: b = 10; x = h + 15; c = v + 2; f = c + 18; a = b + 3; u = x + 5; n = w + 6; m = b + 19; h = l + 20; i = a + 19; l = i + 18; w = f + 6; v = m + 2. If b = 10, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 19", "q": "d + 8", "t": "q + 15", "v": "t + 14", "z": "v + 3", "x": "z + 1", "w": "b + 10", "f": "w + 9", "i": "f + 14", "h": "i + 2", "e": "h + 16", "g": "e + 10", "b": 20}, "premises": {"b": 20}, "target": "x"}, "answer": {"steps": [["z", "v + 3", "v + 4"], ["v", "t + 14", "t + 18"], ["t", "q + 15", "q + 33"], ["q", "d + 8", "d + 41"], ["d", "b + 19", "b + 60"], ["b", 20, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"b": 20}, "is_reverse": true}} | 18,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = t + 14; e = h + 16; t = q + 15; w = b + 10; x = z + 1; d = b + 19; h = i + 2; f = w + 9; z = v + 3; b = 20; q = d + 8; g = e + 10; i = f + 14. If b = 20, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 3 to x, which gives x = v + 4.\n2. Substitute v = t + 14 to x, which gives x = t + 18.\n3. Substitute t = q + 15 to x, which gives x = q + 33.\n4. Substitute q = d + 8 to x, which gives x = d + 41.\n5. Substitute d = b + 19 to x, which gives x = b + 60.\n6. Substitute b = 20 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 18901,
"question": "Consider a system of variables where each variable is defined as follows: v = t + 14; e = h + 16; t = q + 15; w = b + 10; x = z + 1; d = b + 19; h = i + 2; f = w + 9; z = v + 3; b = 20; q = d + 8; g = e + 10; i = f + 14. If b = 20, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"o": "f + 1", "g": "o + 2", "b": "g + 18", "z": "b + 4", "j": "z + 3", "u": "j + 4", "h": "f + 5", "m": "h + 16", "r": "m + 7", "v": "r + 17", "d": "v + 12", "l": "d + 19", "f": 9}, "premises": {"f": 9}, "target": "u"}, "answer": {"steps": [["j", "z + 3", "z + 7"], ["z", "b + 4", "b + 11"], ["b", "g + 18", "g + 29"], ["g", "o + 2", "o + 31"], ["o", "f + 1", "f + 32"], ["f", 9, "41"]], "target_var_name": "u", "target_value": 41, "value_dict": {"f": 9}, "is_reverse": true}} | 18,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 12; z = b + 4; h = f + 5; g = o + 2; j = z + 3; u = j + 4; m = h + 16; v = r + 17; b = g + 18; r = m + 7; o = f + 1; f = 9; l = d + 19. If f = 9, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 3 to u, which gives u = z + 7.\n2. Substitute z = b + 4 to u, which gives u = b + 11.\n3. Substitute b = g + 18 to u, which gives u = g + 29.\n4. Substitute g = o + 2 to u, which gives u = o + 31.\n5. Substitute o = f + 1 to u, which gives u = f + 32.\n6. Substitute f = 9 to u, which gives u = 41.\n\nThus, the final answer is u = \\boxed{41}.",
"index": 18902,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = v + 12; z = b + 4; h = f + 5; g = o + 2; j = z + 3; u = j + 4; m = h + 16; v = r + 17; b = g + 18; r = m + 7; o = f + 1; f = 9; l = d + 19. If f = 9, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 6", "p": "l + 20", "n": "p + 11", "x": "n + 3", "s": "x + 5", "m": "s + 4", "o": "g + 12", "q": "o + 2", "e": "q + 12", "h": "e + 2", "c": "h + 3", "u": "c + 6", "g": 1}, "premises": {"g": 1}, "target": "m"}, "answer": {"steps": [["s", "x + 5", "x + 9"], ["x", "n + 3", "n + 12"], ["n", "p + 11", "p + 23"], ["p", "l + 20", "l + 43"], ["l", "g + 6", "g + 49"], ["g", 1, "50"]], "target_var_name": "m", "target_value": 50, "value_dict": {"g": 1}, "is_reverse": true}} | 18,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; e = q + 12; s = x + 5; p = l + 20; q = o + 2; h = e + 2; m = s + 4; l = g + 6; n = p + 11; u = c + 6; o = g + 12; c = h + 3; x = n + 3. If g = 1, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 50,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 5 to m, which gives m = x + 9.\n2. Substitute x = n + 3 to m, which gives m = n + 12.\n3. Substitute n = p + 11 to m, which gives m = p + 23.\n4. Substitute p = l + 20 to m, which gives m = l + 43.\n5. Substitute l = g + 6 to m, which gives m = g + 49.\n6. Substitute g = 1 to m, which gives m = 50.\n\nThus, the final answer is m = \\boxed{50}.",
"index": 18903,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = 1; e = q + 12; s = x + 5; p = l + 20; q = o + 2; h = e + 2; m = s + 4; l = g + 6; n = p + 11; u = c + 6; o = g + 12; c = h + 3; x = n + 3. If g = 1, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "i + 17", "v": "k + 11", "c": "v + 14", "x": "c + 6", "b": "x + 17", "a": "b + 6", "n": "i + 1", "w": "n + 14", "y": "w + 12", "l": "y + 2", "r": "l + 16", "f": "r + 10", "i": 17}, "premises": {"i": 17}, "target": "a"}, "answer": {"steps": [["b", "x + 17", "x + 23"], ["x", "c + 6", "c + 29"], ["c", "v + 14", "v + 43"], ["v", "k + 11", "k + 54"], ["k", "i + 17", "i + 71"], ["i", 17, "88"]], "target_var_name": "a", "target_value": 88, "value_dict": {"i": 17}, "is_reverse": true}} | 18,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = r + 10; y = w + 12; k = i + 17; i = 17; x = c + 6; c = v + 14; n = i + 1; l = y + 2; a = b + 6; r = l + 16; v = k + 11; b = x + 17; w = n + 14. If i = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = x + 17 to a, which gives a = x + 23.\n2. Substitute x = c + 6 to a, which gives a = c + 29.\n3. Substitute c = v + 14 to a, which gives a = v + 43.\n4. Substitute v = k + 11 to a, which gives a = k + 54.\n5. Substitute k = i + 17 to a, which gives a = i + 71.\n6. Substitute i = 17 to a, which gives a = 88.\n\nThus, the final answer is a = \\boxed{88}.",
"index": 18904,
"question": "Consider a system of variables where each variable is defined as follows: f = r + 10; y = w + 12; k = i + 17; i = 17; x = c + 6; c = v + 14; n = i + 1; l = y + 2; a = b + 6; r = l + 16; v = k + 11; b = x + 17; w = n + 14. If i = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 11", "h": "q + 12", "z": "h + 1", "y": "z + 19", "f": "y + 2", "s": "f + 14", "r": "c + 13", "v": "r + 17", "o": "v + 15", "a": "o + 20", "m": "a + 12", "x": "m + 8", "c": 14}, "premises": {"c": 14}, "target": "s"}, "answer": {"steps": [["f", "y + 2", "y + 16"], ["y", "z + 19", "z + 35"], ["z", "h + 1", "h + 36"], ["h", "q + 12", "q + 48"], ["q", "c + 11", "c + 59"], ["c", 14, "73"]], "target_var_name": "s", "target_value": 73, "value_dict": {"c": 14}, "is_reverse": true}} | 18,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = q + 12; y = z + 19; c = 14; v = r + 17; q = c + 11; a = o + 20; x = m + 8; m = a + 12; z = h + 1; o = v + 15; r = c + 13; s = f + 14; f = y + 2. Given that c = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = y + 2 to s, which gives s = y + 16.\n2. Substitute y = z + 19 to s, which gives s = z + 35.\n3. Substitute z = h + 1 to s, which gives s = h + 36.\n4. Substitute h = q + 12 to s, which gives s = q + 48.\n5. Substitute q = c + 11 to s, which gives s = c + 59.\n6. Substitute c = 14 to s, which gives s = 73.\n\nThus, the final answer is s = \\boxed{73}.",
"index": 18905,
"question": "Suppose a collection of variables is related by the following definitions: h = q + 12; y = z + 19; c = 14; v = r + 17; q = c + 11; a = o + 20; x = m + 8; m = a + 12; z = h + 1; o = v + 15; r = c + 13; s = f + 14; f = y + 2. Given that c = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"t": "z + 18", "w": "t + 18", "n": "w + 5", "c": "n + 16", "u": "c + 3", "h": "u + 6", "q": "z + 19", "y": "q + 9", "i": "y + 18", "r": "i + 5", "v": "r + 10", "g": "v + 15", "z": 2}, "premises": {"z": 2}, "target": "h"}, "answer": {"steps": [["u", "c + 3", "c + 9"], ["c", "n + 16", "n + 25"], ["n", "w + 5", "w + 30"], ["w", "t + 18", "t + 48"], ["t", "z + 18", "z + 66"], ["z", 2, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"z": 2}, "is_reverse": true}} | 18,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = q + 9; g = v + 15; h = u + 6; q = z + 19; v = r + 10; t = z + 18; c = n + 16; i = y + 18; z = 2; r = i + 5; u = c + 3; w = t + 18; n = w + 5. Given that z = 2, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = c + 3 to h, which gives h = c + 9.\n2. Substitute c = n + 16 to h, which gives h = n + 25.\n3. Substitute n = w + 5 to h, which gives h = w + 30.\n4. Substitute w = t + 18 to h, which gives h = t + 48.\n5. Substitute t = z + 18 to h, which gives h = z + 66.\n6. Substitute z = 2 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 18906,
"question": "Suppose a collection of variables is related by the following definitions: y = q + 9; g = v + 15; h = u + 6; q = z + 19; v = r + 10; t = z + 18; c = n + 16; i = y + 18; z = 2; r = i + 5; u = c + 3; w = t + 18; n = w + 5. Given that z = 2, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 19", "y": "f + 14", "p": "y + 17", "m": "p + 17", "u": "m + 20", "i": "u + 1", "v": "x + 11", "z": "v + 8", "j": "z + 10", "w": "j + 18", "e": "w + 11", "l": "e + 2", "x": 5}, "premises": {"x": 5}, "target": "i"}, "answer": {"steps": [["u", "m + 20", "m + 21"], ["m", "p + 17", "p + 38"], ["p", "y + 17", "y + 55"], ["y", "f + 14", "f + 69"], ["f", "x + 19", "x + 88"], ["x", 5, "93"]], "target_var_name": "i", "target_value": 93, "value_dict": {"x": 5}, "is_reverse": true}} | 18,907 | 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 = e + 2; z = v + 8; i = u + 1; w = j + 18; f = x + 19; p = y + 17; v = x + 11; x = 5; u = m + 20; j = z + 10; y = f + 14; m = p + 17; e = w + 11. If x = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 20 to i, which gives i = m + 21.\n2. Substitute m = p + 17 to i, which gives i = p + 38.\n3. Substitute p = y + 17 to i, which gives i = y + 55.\n4. Substitute y = f + 14 to i, which gives i = f + 69.\n5. Substitute f = x + 19 to i, which gives i = x + 88.\n6. Substitute x = 5 to i, which gives i = 93.\n\nThus, the final answer is i = \\boxed{93}.",
"index": 18907,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = e + 2; z = v + 8; i = u + 1; w = j + 18; f = x + 19; p = y + 17; v = x + 11; x = 5; u = m + 20; j = z + 10; y = f + 14; m = p + 17; e = w + 11. If x = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"n": "a + 14", "x": "n + 17", "r": "x + 2", "c": "r + 9", "j": "c + 15", "u": "j + 4", "b": "a + 8", "k": "b + 7", "i": "k + 19", "z": "i + 12", "f": "z + 7", "t": "f + 8", "a": 15}, "premises": {"a": 15}, "target": "u"}, "answer": {"steps": [["j", "c + 15", "c + 19"], ["c", "r + 9", "r + 28"], ["r", "x + 2", "x + 30"], ["x", "n + 17", "n + 47"], ["n", "a + 14", "a + 61"], ["a", 15, "76"]], "target_var_name": "u", "target_value": 76, "value_dict": {"a": 15}, "is_reverse": true}} | 18,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = 15; i = k + 19; z = i + 12; c = r + 9; b = a + 8; f = z + 7; u = j + 4; j = c + 15; k = b + 7; n = a + 14; x = n + 17; r = x + 2; t = f + 8. If a = 15, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = c + 15 to u, which gives u = c + 19.\n2. Substitute c = r + 9 to u, which gives u = r + 28.\n3. Substitute r = x + 2 to u, which gives u = x + 30.\n4. Substitute x = n + 17 to u, which gives u = n + 47.\n5. Substitute n = a + 14 to u, which gives u = a + 61.\n6. Substitute a = 15 to u, which gives u = 76.\n\nThus, the final answer is u = \\boxed{76}.",
"index": 18908,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 15; i = k + 19; z = i + 12; c = r + 9; b = a + 8; f = z + 7; u = j + 4; j = c + 15; k = b + 7; n = a + 14; x = n + 17; r = x + 2; t = f + 8. If a = 15, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"o": "k + 6", "c": "o + 14", "s": "c + 15", "v": "s + 6", "x": "v + 6", "u": "x + 10", "f": "k + 4", "g": "f + 12", "e": "g + 13", "i": "e + 16", "q": "i + 20", "j": "q + 18", "k": 12}, "premises": {"k": 12}, "target": "u"}, "answer": {"steps": [["x", "v + 6", "v + 16"], ["v", "s + 6", "s + 22"], ["s", "c + 15", "c + 37"], ["c", "o + 14", "o + 51"], ["o", "k + 6", "k + 57"], ["k", 12, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"k": 12}, "is_reverse": true}} | 18,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 12; v = s + 6; i = e + 16; k = 12; q = i + 20; c = o + 14; f = k + 4; o = k + 6; u = x + 10; x = v + 6; j = q + 18; s = c + 15; e = g + 13. If k = 12, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 6 to u, which gives u = v + 16.\n2. Substitute v = s + 6 to u, which gives u = s + 22.\n3. Substitute s = c + 15 to u, which gives u = c + 37.\n4. Substitute c = o + 14 to u, which gives u = o + 51.\n5. Substitute o = k + 6 to u, which gives u = k + 57.\n6. Substitute k = 12 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 18909,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = f + 12; v = s + 6; i = e + 16; k = 12; q = i + 20; c = o + 14; f = k + 4; o = k + 6; u = x + 10; x = v + 6; j = q + 18; s = c + 15; e = g + 13. If k = 12, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"s": "f + 14", "e": "s + 17", "b": "e + 15", "n": "b + 4", "c": "n + 1", "r": "c + 15", "d": "f + 10", "p": "d + 5", "o": "p + 9", "m": "o + 12", "z": "m + 8", "u": "z + 4", "f": 5}, "premises": {"f": 5}, "target": "r"}, "answer": {"steps": [["c", "n + 1", "n + 16"], ["n", "b + 4", "b + 20"], ["b", "e + 15", "e + 35"], ["e", "s + 17", "s + 52"], ["s", "f + 14", "f + 66"], ["f", 5, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"f": 5}, "is_reverse": true}} | 18,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = f + 10; f = 5; z = m + 8; s = f + 14; r = c + 15; e = s + 17; u = z + 4; b = e + 15; o = p + 9; m = o + 12; p = d + 5; n = b + 4; c = n + 1. If f = 5, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = n + 1 to r, which gives r = n + 16.\n2. Substitute n = b + 4 to r, which gives r = b + 20.\n3. Substitute b = e + 15 to r, which gives r = e + 35.\n4. Substitute e = s + 17 to r, which gives r = s + 52.\n5. Substitute s = f + 14 to r, which gives r = f + 66.\n6. Substitute f = 5 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 18910,
"question": "Consider a system of variables where each variable is defined as follows: d = f + 10; f = 5; z = m + 8; s = f + 14; r = c + 15; e = s + 17; u = z + 4; b = e + 15; o = p + 9; m = o + 12; p = d + 5; n = b + 4; c = n + 1. If f = 5, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"r": "q + 16", "f": "r + 16", "g": "f + 9", "z": "g + 16", "t": "z + 20", "n": "t + 4", "u": "q + 7", "b": "u + 3", "s": "b + 4", "m": "s + 10", "o": "m + 15", "j": "o + 20", "q": 3}, "premises": {"q": 3}, "target": "n"}, "answer": {"steps": [["t", "z + 20", "z + 24"], ["z", "g + 16", "g + 40"], ["g", "f + 9", "f + 49"], ["f", "r + 16", "r + 65"], ["r", "q + 16", "q + 81"], ["q", 3, "84"]], "target_var_name": "n", "target_value": 84, "value_dict": {"q": 3}, "is_reverse": true}} | 18,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 15; z = g + 16; b = u + 3; m = s + 10; f = r + 16; t = z + 20; g = f + 9; n = t + 4; r = q + 16; s = b + 4; j = o + 20; u = q + 7; q = 3. If q = 3, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = z + 20 to n, which gives n = z + 24.\n2. Substitute z = g + 16 to n, which gives n = g + 40.\n3. Substitute g = f + 9 to n, which gives n = f + 49.\n4. Substitute f = r + 16 to n, which gives n = r + 65.\n5. Substitute r = q + 16 to n, which gives n = q + 81.\n6. Substitute q = 3 to n, which gives n = 84.\n\nThus, the final answer is n = \\boxed{84}.",
"index": 18911,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 15; z = g + 16; b = u + 3; m = s + 10; f = r + 16; t = z + 20; g = f + 9; n = t + 4; r = q + 16; s = b + 4; j = o + 20; u = q + 7; q = 3. If q = 3, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 5", "e": "r + 11", "k": "e + 15", "z": "k + 7", "b": "z + 4", "c": "b + 18", "d": "i + 17", "p": "d + 18", "m": "p + 17", "n": "m + 1", "u": "n + 4", "y": "u + 17", "i": 17}, "premises": {"i": 17}, "target": "c"}, "answer": {"steps": [["b", "z + 4", "z + 22"], ["z", "k + 7", "k + 29"], ["k", "e + 15", "e + 44"], ["e", "r + 11", "r + 55"], ["r", "i + 5", "i + 60"], ["i", 17, "77"]], "target_var_name": "c", "target_value": 77, "value_dict": {"i": 17}, "is_reverse": true}} | 18,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 18; u = n + 4; c = b + 18; m = p + 17; d = i + 17; z = k + 7; e = r + 11; r = i + 5; k = e + 15; n = m + 1; y = u + 17; i = 17; b = z + 4. If i = 17, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = z + 4 to c, which gives c = z + 22.\n2. Substitute z = k + 7 to c, which gives c = k + 29.\n3. Substitute k = e + 15 to c, which gives c = e + 44.\n4. Substitute e = r + 11 to c, which gives c = r + 55.\n5. Substitute r = i + 5 to c, which gives c = i + 60.\n6. Substitute i = 17 to c, which gives c = 77.\n\nThus, the final answer is c = \\boxed{77}.",
"index": 18912,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 18; u = n + 4; c = b + 18; m = p + 17; d = i + 17; z = k + 7; e = r + 11; r = i + 5; k = e + 15; n = m + 1; y = u + 17; i = 17; b = z + 4. If i = 17, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 7", "e": "d + 3", "u": "e + 11", "v": "u + 12", "h": "v + 18", "c": "h + 7", "f": "r + 11", "l": "f + 12", "w": "l + 3", "g": "w + 4", "m": "g + 6", "k": "m + 9", "r": 1}, "premises": {"r": 1}, "target": "c"}, "answer": {"steps": [["h", "v + 18", "v + 25"], ["v", "u + 12", "u + 37"], ["u", "e + 11", "e + 48"], ["e", "d + 3", "d + 51"], ["d", "r + 7", "r + 58"], ["r", 1, "59"]], "target_var_name": "c", "target_value": 59, "value_dict": {"r": 1}, "is_reverse": true}} | 18,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = l + 3; h = v + 18; c = h + 7; g = w + 4; d = r + 7; m = g + 6; u = e + 11; f = r + 11; e = d + 3; v = u + 12; k = m + 9; r = 1; l = f + 12. Given that r = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = v + 18 to c, which gives c = v + 25.\n2. Substitute v = u + 12 to c, which gives c = u + 37.\n3. Substitute u = e + 11 to c, which gives c = e + 48.\n4. Substitute e = d + 3 to c, which gives c = d + 51.\n5. Substitute d = r + 7 to c, which gives c = r + 58.\n6. Substitute r = 1 to c, which gives c = 59.\n\nThus, the final answer is c = \\boxed{59}.",
"index": 18913,
"question": "Suppose a collection of variables is related by the following definitions: w = l + 3; h = v + 18; c = h + 7; g = w + 4; d = r + 7; m = g + 6; u = e + 11; f = r + 11; e = d + 3; v = u + 12; k = m + 9; r = 1; l = f + 12. Given that r = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "a + 19", "x": "q + 7", "s": "x + 6", "h": "s + 6", "k": "h + 11", "u": "k + 20", "d": "a + 2", "v": "d + 7", "r": "v + 10", "o": "r + 9", "g": "o + 17", "j": "g + 12", "a": 15}, "premises": {"a": 15}, "target": "u"}, "answer": {"steps": [["k", "h + 11", "h + 31"], ["h", "s + 6", "s + 37"], ["s", "x + 6", "x + 43"], ["x", "q + 7", "q + 50"], ["q", "a + 19", "a + 69"], ["a", 15, "84"]], "target_var_name": "u", "target_value": 84, "value_dict": {"a": 15}, "is_reverse": true}} | 18,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = a + 2; r = v + 10; g = o + 17; a = 15; u = k + 20; x = q + 7; o = r + 9; s = x + 6; v = d + 7; h = s + 6; k = h + 11; q = a + 19; j = g + 12. Given that a = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = h + 11 to u, which gives u = h + 31.\n2. Substitute h = s + 6 to u, which gives u = s + 37.\n3. Substitute s = x + 6 to u, which gives u = x + 43.\n4. Substitute x = q + 7 to u, which gives u = q + 50.\n5. Substitute q = a + 19 to u, which gives u = a + 69.\n6. Substitute a = 15 to u, which gives u = 84.\n\nThus, the final answer is u = \\boxed{84}.",
"index": 18914,
"question": "Suppose a collection of variables is related by the following definitions: d = a + 2; r = v + 10; g = o + 17; a = 15; u = k + 20; x = q + 7; o = r + 9; s = x + 6; v = d + 7; h = s + 6; k = h + 11; q = a + 19; j = g + 12. Given that a = 15, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"l": "w + 9", "s": "l + 20", "r": "s + 1", "t": "r + 2", "k": "t + 15", "p": "k + 8", "g": "w + 2", "q": "g + 2", "u": "q + 3", "z": "u + 10", "x": "z + 12", "n": "x + 19", "w": 13}, "premises": {"w": 13}, "target": "p"}, "answer": {"steps": [["k", "t + 15", "t + 23"], ["t", "r + 2", "r + 25"], ["r", "s + 1", "s + 26"], ["s", "l + 20", "l + 46"], ["l", "w + 9", "w + 55"], ["w", 13, "68"]], "target_var_name": "p", "target_value": 68, "value_dict": {"w": 13}, "is_reverse": true}} | 18,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = w + 9; q = g + 2; z = u + 10; k = t + 15; r = s + 1; g = w + 2; u = q + 3; p = k + 8; t = r + 2; s = l + 20; w = 13; x = z + 12; n = x + 19. Given that w = 13, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = t + 15 to p, which gives p = t + 23.\n2. Substitute t = r + 2 to p, which gives p = r + 25.\n3. Substitute r = s + 1 to p, which gives p = s + 26.\n4. Substitute s = l + 20 to p, which gives p = l + 46.\n5. Substitute l = w + 9 to p, which gives p = w + 55.\n6. Substitute w = 13 to p, which gives p = 68.\n\nThus, the final answer is p = \\boxed{68}.",
"index": 18915,
"question": "Suppose a collection of variables is related by the following definitions: l = w + 9; q = g + 2; z = u + 10; k = t + 15; r = s + 1; g = w + 2; u = q + 3; p = k + 8; t = r + 2; s = l + 20; w = 13; x = z + 12; n = x + 19. Given that w = 13, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 19", "i": "b + 6", "h": "i + 12", "j": "h + 1", "d": "j + 15", "k": "d + 16", "o": "p + 1", "y": "o + 20", "z": "y + 19", "q": "z + 16", "g": "q + 18", "l": "g + 12", "p": 10}, "premises": {"p": 10}, "target": "k"}, "answer": {"steps": [["d", "j + 15", "j + 31"], ["j", "h + 1", "h + 32"], ["h", "i + 12", "i + 44"], ["i", "b + 6", "b + 50"], ["b", "p + 19", "p + 69"], ["p", 10, "79"]], "target_var_name": "k", "target_value": 79, "value_dict": {"p": 10}, "is_reverse": true}} | 18,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = p + 19; o = p + 1; j = h + 1; g = q + 18; d = j + 15; k = d + 16; l = g + 12; i = b + 6; y = o + 20; p = 10; z = y + 19; h = i + 12; q = z + 16. If p = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 15 to k, which gives k = j + 31.\n2. Substitute j = h + 1 to k, which gives k = h + 32.\n3. Substitute h = i + 12 to k, which gives k = i + 44.\n4. Substitute i = b + 6 to k, which gives k = b + 50.\n5. Substitute b = p + 19 to k, which gives k = p + 69.\n6. Substitute p = 10 to k, which gives k = 79.\n\nThus, the final answer is k = \\boxed{79}.",
"index": 18916,
"question": "Consider a system of variables where each variable is defined as follows: b = p + 19; o = p + 1; j = h + 1; g = q + 18; d = j + 15; k = d + 16; l = g + 12; i = b + 6; y = o + 20; p = 10; z = y + 19; h = i + 12; q = z + 16. If p = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"l": "r + 10", "b": "l + 10", "d": "b + 13", "j": "d + 1", "n": "j + 16", "m": "n + 9", "y": "r + 11", "t": "y + 3", "k": "t + 9", "e": "k + 2", "i": "e + 1", "c": "i + 18", "r": 15}, "premises": {"r": 15}, "target": "m"}, "answer": {"steps": [["n", "j + 16", "j + 25"], ["j", "d + 1", "d + 26"], ["d", "b + 13", "b + 39"], ["b", "l + 10", "l + 49"], ["l", "r + 10", "r + 59"], ["r", 15, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"r": 15}, "is_reverse": true}} | 18,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = 15; b = l + 10; l = r + 10; i = e + 1; y = r + 11; e = k + 2; n = j + 16; m = n + 9; k = t + 9; c = i + 18; j = d + 1; t = y + 3; d = b + 13. Given that r = 15, find 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 n = j + 16 to m, which gives m = j + 25.\n2. Substitute j = d + 1 to m, which gives m = d + 26.\n3. Substitute d = b + 13 to m, which gives m = b + 39.\n4. Substitute b = l + 10 to m, which gives m = l + 49.\n5. Substitute l = r + 10 to m, which gives m = r + 59.\n6. Substitute r = 15 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 18917,
"question": "Suppose a collection of variables is related by the following definitions: r = 15; b = l + 10; l = r + 10; i = e + 1; y = r + 11; e = k + 2; n = j + 16; m = n + 9; k = t + 9; c = i + 18; j = d + 1; t = y + 3; d = b + 13. Given that r = 15, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "r + 3", "i": "a + 3", "d": "i + 6", "q": "d + 4", "w": "q + 17", "f": "w + 7", "p": "r + 7", "j": "p + 14", "n": "j + 1", "z": "n + 17", "t": "z + 15", "s": "t + 9", "r": 16}, "premises": {"r": 16}, "target": "f"}, "answer": {"steps": [["w", "q + 17", "q + 24"], ["q", "d + 4", "d + 28"], ["d", "i + 6", "i + 34"], ["i", "a + 3", "a + 37"], ["a", "r + 3", "r + 40"], ["r", 16, "56"]], "target_var_name": "f", "target_value": 56, "value_dict": {"r": 16}, "is_reverse": true}} | 18,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = p + 14; r = 16; f = w + 7; t = z + 15; s = t + 9; p = r + 7; w = q + 17; i = a + 3; d = i + 6; q = d + 4; z = n + 17; n = j + 1; a = r + 3. Given that r = 16, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 17 to f, which gives f = q + 24.\n2. Substitute q = d + 4 to f, which gives f = d + 28.\n3. Substitute d = i + 6 to f, which gives f = i + 34.\n4. Substitute i = a + 3 to f, which gives f = a + 37.\n5. Substitute a = r + 3 to f, which gives f = r + 40.\n6. Substitute r = 16 to f, which gives f = 56.\n\nThus, the final answer is f = \\boxed{56}.",
"index": 18918,
"question": "Suppose a collection of variables is related by the following definitions: j = p + 14; r = 16; f = w + 7; t = z + 15; s = t + 9; p = r + 7; w = q + 17; i = a + 3; d = i + 6; q = d + 4; z = n + 17; n = j + 1; a = r + 3. Given that r = 16, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 18", "w": "r + 19", "x": "w + 18", "h": "x + 4", "f": "h + 9", "g": "f + 12", "a": "n + 2", "u": "a + 9", "j": "u + 5", "l": "j + 10", "o": "l + 6", "y": "o + 12", "n": 15}, "premises": {"n": 15}, "target": "g"}, "answer": {"steps": [["f", "h + 9", "h + 21"], ["h", "x + 4", "x + 25"], ["x", "w + 18", "w + 43"], ["w", "r + 19", "r + 62"], ["r", "n + 18", "n + 80"], ["n", 15, "95"]], "target_var_name": "g", "target_value": 95, "value_dict": {"n": 15}, "is_reverse": true}} | 18,919 | 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 = a + 9; f = h + 9; y = o + 12; r = n + 18; x = w + 18; j = u + 5; g = f + 12; w = r + 19; a = n + 2; o = l + 6; l = j + 10; n = 15; h = x + 4. If n = 15, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = h + 9 to g, which gives g = h + 21.\n2. Substitute h = x + 4 to g, which gives g = x + 25.\n3. Substitute x = w + 18 to g, which gives g = w + 43.\n4. Substitute w = r + 19 to g, which gives g = r + 62.\n5. Substitute r = n + 18 to g, which gives g = n + 80.\n6. Substitute n = 15 to g, which gives g = 95.\n\nThus, the final answer is g = \\boxed{95}.",
"index": 18919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = a + 9; f = h + 9; y = o + 12; r = n + 18; x = w + 18; j = u + 5; g = f + 12; w = r + 19; a = n + 2; o = l + 6; l = j + 10; n = 15; h = x + 4. If n = 15, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"g": "v + 5", "a": "g + 2", "o": "a + 8", "b": "o + 3", "l": "b + 14", "p": "l + 13", "q": "v + 13", "u": "q + 19", "s": "u + 8", "t": "s + 9", "r": "t + 1", "d": "r + 7", "v": 6}, "premises": {"v": 6}, "target": "p"}, "answer": {"steps": [["l", "b + 14", "b + 27"], ["b", "o + 3", "o + 30"], ["o", "a + 8", "a + 38"], ["a", "g + 2", "g + 40"], ["g", "v + 5", "v + 45"], ["v", 6, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"v": 6}, "is_reverse": true}} | 18,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = r + 7; u = q + 19; s = u + 8; p = l + 13; q = v + 13; t = s + 9; a = g + 2; v = 6; l = b + 14; b = o + 3; r = t + 1; g = v + 5; o = a + 8. Given that v = 6, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = b + 14 to p, which gives p = b + 27.\n2. Substitute b = o + 3 to p, which gives p = o + 30.\n3. Substitute o = a + 8 to p, which gives p = a + 38.\n4. Substitute a = g + 2 to p, which gives p = g + 40.\n5. Substitute g = v + 5 to p, which gives p = v + 45.\n6. Substitute v = 6 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 18920,
"question": "Suppose a collection of variables is related by the following definitions: d = r + 7; u = q + 19; s = u + 8; p = l + 13; q = v + 13; t = s + 9; a = g + 2; v = 6; l = b + 14; b = o + 3; r = t + 1; g = v + 5; o = a + 8. Given that v = 6, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 3", "n": "x + 7", "b": "n + 19", "h": "b + 20", "d": "h + 14", "t": "d + 4", "z": "r + 5", "p": "z + 10", "i": "p + 3", "q": "i + 2", "e": "q + 14", "s": "e + 5", "r": 15}, "premises": {"r": 15}, "target": "t"}, "answer": {"steps": [["d", "h + 14", "h + 18"], ["h", "b + 20", "b + 38"], ["b", "n + 19", "n + 57"], ["n", "x + 7", "x + 64"], ["x", "r + 3", "r + 67"], ["r", 15, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"r": 15}, "is_reverse": true}} | 18,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = i + 2; s = e + 5; h = b + 20; n = x + 7; d = h + 14; z = r + 5; x = r + 3; e = q + 14; i = p + 3; p = z + 10; t = d + 4; r = 15; b = n + 19. If r = 15, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 14 to t, which gives t = h + 18.\n2. Substitute h = b + 20 to t, which gives t = b + 38.\n3. Substitute b = n + 19 to t, which gives t = n + 57.\n4. Substitute n = x + 7 to t, which gives t = x + 64.\n5. Substitute x = r + 3 to t, which gives t = r + 67.\n6. Substitute r = 15 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 18921,
"question": "Consider a system of variables where each variable is defined as follows: q = i + 2; s = e + 5; h = b + 20; n = x + 7; d = h + 14; z = r + 5; x = r + 3; e = q + 14; i = p + 3; p = z + 10; t = d + 4; r = 15; b = n + 19. If r = 15, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"f": "d + 18", "t": "f + 6", "a": "t + 19", "m": "a + 14", "b": "m + 5", "y": "b + 15", "n": "d + 5", "p": "n + 9", "c": "p + 15", "k": "c + 3", "o": "k + 20", "h": "o + 12", "d": 17}, "premises": {"d": 17}, "target": "y"}, "answer": {"steps": [["b", "m + 5", "m + 20"], ["m", "a + 14", "a + 34"], ["a", "t + 19", "t + 53"], ["t", "f + 6", "f + 59"], ["f", "d + 18", "d + 77"], ["d", 17, "94"]], "target_var_name": "y", "target_value": 94, "value_dict": {"d": 17}, "is_reverse": true}} | 18,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = p + 15; a = t + 19; f = d + 18; h = o + 12; t = f + 6; d = 17; k = c + 3; n = d + 5; p = n + 9; m = a + 14; b = m + 5; y = b + 15; o = k + 20. Given that d = 17, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = m + 5 to y, which gives y = m + 20.\n2. Substitute m = a + 14 to y, which gives y = a + 34.\n3. Substitute a = t + 19 to y, which gives y = t + 53.\n4. Substitute t = f + 6 to y, which gives y = f + 59.\n5. Substitute f = d + 18 to y, which gives y = d + 77.\n6. Substitute d = 17 to y, which gives y = 94.\n\nThus, the final answer is y = \\boxed{94}.",
"index": 18922,
"question": "Suppose a collection of variables is related by the following definitions: c = p + 15; a = t + 19; f = d + 18; h = o + 12; t = f + 6; d = 17; k = c + 3; n = d + 5; p = n + 9; m = a + 14; b = m + 5; y = b + 15; o = k + 20. Given that d = 17, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 18", "w": "q + 13", "o": "w + 12", "l": "o + 15", "d": "l + 16", "p": "d + 20", "i": "k + 14", "m": "i + 15", "h": "m + 12", "j": "h + 5", "y": "j + 4", "g": "y + 12", "k": 8}, "premises": {"k": 8}, "target": "p"}, "answer": {"steps": [["d", "l + 16", "l + 36"], ["l", "o + 15", "o + 51"], ["o", "w + 12", "w + 63"], ["w", "q + 13", "q + 76"], ["q", "k + 18", "k + 94"], ["k", 8, "102"]], "target_var_name": "p", "target_value": 102, "value_dict": {"k": 8}, "is_reverse": true}} | 18,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = d + 20; j = h + 5; k = 8; w = q + 13; o = w + 12; d = l + 16; h = m + 12; l = o + 15; i = k + 14; m = i + 15; q = k + 18; y = j + 4; g = y + 12. Given that k = 8, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 102,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 16 to p, which gives p = l + 36.\n2. Substitute l = o + 15 to p, which gives p = o + 51.\n3. Substitute o = w + 12 to p, which gives p = w + 63.\n4. Substitute w = q + 13 to p, which gives p = q + 76.\n5. Substitute q = k + 18 to p, which gives p = k + 94.\n6. Substitute k = 8 to p, which gives p = 102.\n\nThus, the final answer is p = \\boxed{102}.",
"index": 18923,
"question": "Suppose a collection of variables is related by the following definitions: p = d + 20; j = h + 5; k = 8; w = q + 13; o = w + 12; d = l + 16; h = m + 12; l = o + 15; i = k + 14; m = i + 15; q = k + 18; y = j + 4; g = y + 12. Given that k = 8, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 13", "c": "o + 10", "b": "c + 2", "r": "b + 9", "t": "r + 8", "n": "t + 14", "k": "h + 16", "i": "k + 3", "z": "i + 16", "e": "z + 10", "w": "e + 4", "v": "w + 13", "h": 17}, "premises": {"h": 17}, "target": "n"}, "answer": {"steps": [["t", "r + 8", "r + 22"], ["r", "b + 9", "b + 31"], ["b", "c + 2", "c + 33"], ["c", "o + 10", "o + 43"], ["o", "h + 13", "h + 56"], ["h", 17, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"h": 17}, "is_reverse": true}} | 18,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 17; w = e + 4; v = w + 13; c = o + 10; r = b + 9; i = k + 3; z = i + 16; e = z + 10; b = c + 2; n = t + 14; t = r + 8; k = h + 16; o = h + 13. If h = 17, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 8 to n, which gives n = r + 22.\n2. Substitute r = b + 9 to n, which gives n = b + 31.\n3. Substitute b = c + 2 to n, which gives n = c + 33.\n4. Substitute c = o + 10 to n, which gives n = o + 43.\n5. Substitute o = h + 13 to n, which gives n = h + 56.\n6. Substitute h = 17 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 18924,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 17; w = e + 4; v = w + 13; c = o + 10; r = b + 9; i = k + 3; z = i + 16; e = z + 10; b = c + 2; n = t + 14; t = r + 8; k = h + 16; o = h + 13. If h = 17, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 11", "z": "q + 17", "v": "z + 10", "m": "v + 20", "u": "m + 19", "b": "u + 10", "e": "p + 16", "y": "e + 10", "a": "y + 1", "f": "a + 11", "w": "f + 7", "c": "w + 6", "p": 8}, "premises": {"p": 8}, "target": "b"}, "answer": {"steps": [["u", "m + 19", "m + 29"], ["m", "v + 20", "v + 49"], ["v", "z + 10", "z + 59"], ["z", "q + 17", "q + 76"], ["q", "p + 11", "p + 87"], ["p", 8, "95"]], "target_var_name": "b", "target_value": 95, "value_dict": {"p": 8}, "is_reverse": true}} | 18,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 11; p = 8; u = m + 19; e = p + 16; b = u + 10; c = w + 6; y = e + 10; a = y + 1; m = v + 20; q = p + 11; v = z + 10; z = q + 17; w = f + 7. If p = 8, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 19 to b, which gives b = m + 29.\n2. Substitute m = v + 20 to b, which gives b = v + 49.\n3. Substitute v = z + 10 to b, which gives b = z + 59.\n4. Substitute z = q + 17 to b, which gives b = q + 76.\n5. Substitute q = p + 11 to b, which gives b = p + 87.\n6. Substitute p = 8 to b, which gives b = 95.\n\nThus, the final answer is b = \\boxed{95}.",
"index": 18925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 11; p = 8; u = m + 19; e = p + 16; b = u + 10; c = w + 6; y = e + 10; a = y + 1; m = v + 20; q = p + 11; v = z + 10; z = q + 17; w = f + 7. If p = 8, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"j": "c + 17", "x": "j + 5", "o": "x + 10", "l": "o + 11", "w": "l + 9", "i": "w + 5", "k": "c + 19", "v": "k + 16", "y": "v + 16", "p": "y + 15", "u": "p + 9", "d": "u + 15", "c": 17}, "premises": {"c": 17}, "target": "i"}, "answer": {"steps": [["w", "l + 9", "l + 14"], ["l", "o + 11", "o + 25"], ["o", "x + 10", "x + 35"], ["x", "j + 5", "j + 40"], ["j", "c + 17", "c + 57"], ["c", 17, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"c": 17}, "is_reverse": true}} | 18,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 15; o = x + 10; p = y + 15; i = w + 5; w = l + 9; x = j + 5; c = 17; u = p + 9; y = v + 16; k = c + 19; j = c + 17; l = o + 11; v = k + 16. If c = 17, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 9 to i, which gives i = l + 14.\n2. Substitute l = o + 11 to i, which gives i = o + 25.\n3. Substitute o = x + 10 to i, which gives i = x + 35.\n4. Substitute x = j + 5 to i, which gives i = j + 40.\n5. Substitute j = c + 17 to i, which gives i = c + 57.\n6. Substitute c = 17 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 18926,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = u + 15; o = x + 10; p = y + 15; i = w + 5; w = l + 9; x = j + 5; c = 17; u = p + 9; y = v + 16; k = c + 19; j = c + 17; l = o + 11; v = k + 16. If c = 17, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"x": "l + 13", "a": "x + 12", "g": "a + 19", "b": "g + 3", "r": "b + 13", "o": "r + 8", "j": "l + 7", "e": "j + 8", "p": "e + 13", "d": "p + 2", "n": "d + 15", "s": "n + 18", "l": 15}, "premises": {"l": 15}, "target": "o"}, "answer": {"steps": [["r", "b + 13", "b + 21"], ["b", "g + 3", "g + 24"], ["g", "a + 19", "a + 43"], ["a", "x + 12", "x + 55"], ["x", "l + 13", "l + 68"], ["l", 15, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"l": 15}, "is_reverse": true}} | 18,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = g + 3; r = b + 13; o = r + 8; a = x + 12; p = e + 13; d = p + 2; n = d + 15; g = a + 19; e = j + 8; x = l + 13; j = l + 7; l = 15; s = n + 18. If l = 15, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = b + 13 to o, which gives o = b + 21.\n2. Substitute b = g + 3 to o, which gives o = g + 24.\n3. Substitute g = a + 19 to o, which gives o = a + 43.\n4. Substitute a = x + 12 to o, which gives o = x + 55.\n5. Substitute x = l + 13 to o, which gives o = l + 68.\n6. Substitute l = 15 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 18927,
"question": "Consider a system of variables where each variable is defined as follows: b = g + 3; r = b + 13; o = r + 8; a = x + 12; p = e + 13; d = p + 2; n = d + 15; g = a + 19; e = j + 8; x = l + 13; j = l + 7; l = 15; s = n + 18. If l = 15, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"x": "c + 4", "p": "x + 14", "r": "p + 6", "z": "r + 5", "d": "z + 19", "o": "d + 5", "h": "c + 11", "b": "h + 16", "g": "b + 4", "m": "g + 4", "f": "m + 2", "v": "f + 3", "c": 19}, "premises": {"c": 19}, "target": "o"}, "answer": {"steps": [["d", "z + 19", "z + 24"], ["z", "r + 5", "r + 29"], ["r", "p + 6", "p + 35"], ["p", "x + 14", "x + 49"], ["x", "c + 4", "c + 53"], ["c", 19, "72"]], "target_var_name": "o", "target_value": 72, "value_dict": {"c": 19}, "is_reverse": true}} | 18,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = h + 16; o = d + 5; z = r + 5; p = x + 14; x = c + 4; d = z + 19; f = m + 2; g = b + 4; r = p + 6; c = 19; v = f + 3; h = c + 11; m = g + 4. If c = 19, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = z + 19 to o, which gives o = z + 24.\n2. Substitute z = r + 5 to o, which gives o = r + 29.\n3. Substitute r = p + 6 to o, which gives o = p + 35.\n4. Substitute p = x + 14 to o, which gives o = x + 49.\n5. Substitute x = c + 4 to o, which gives o = c + 53.\n6. Substitute c = 19 to o, which gives o = 72.\n\nThus, the final answer is o = \\boxed{72}.",
"index": 18928,
"question": "Consider a system of variables where each variable is defined as follows: b = h + 16; o = d + 5; z = r + 5; p = x + 14; x = c + 4; d = z + 19; f = m + 2; g = b + 4; r = p + 6; c = 19; v = f + 3; h = c + 11; m = g + 4. If c = 19, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 9", "x": "y + 4", "z": "x + 4", "p": "z + 5", "i": "p + 8", "g": "i + 12", "b": "a + 17", "k": "b + 20", "v": "k + 8", "l": "v + 7", "o": "l + 2", "q": "o + 20", "a": 19}, "premises": {"a": 19}, "target": "g"}, "answer": {"steps": [["i", "p + 8", "p + 20"], ["p", "z + 5", "z + 25"], ["z", "x + 4", "x + 29"], ["x", "y + 4", "y + 33"], ["y", "a + 9", "a + 42"], ["a", 19, "61"]], "target_var_name": "g", "target_value": 61, "value_dict": {"a": 19}, "is_reverse": true}} | 18,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 20; l = v + 7; x = y + 4; v = k + 8; a = 19; y = a + 9; q = o + 20; z = x + 4; b = a + 17; p = z + 5; i = p + 8; g = i + 12; o = l + 2. If a = 19, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 8 to g, which gives g = p + 20.\n2. Substitute p = z + 5 to g, which gives g = z + 25.\n3. Substitute z = x + 4 to g, which gives g = x + 29.\n4. Substitute x = y + 4 to g, which gives g = y + 33.\n5. Substitute y = a + 9 to g, which gives g = a + 42.\n6. Substitute a = 19 to g, which gives g = 61.\n\nThus, the final answer is g = \\boxed{61}.",
"index": 18929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = b + 20; l = v + 7; x = y + 4; v = k + 8; a = 19; y = a + 9; q = o + 20; z = x + 4; b = a + 17; p = z + 5; i = p + 8; g = i + 12; o = l + 2. If a = 19, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 1", "a": "t + 19", "y": "a + 19", "b": "y + 2", "m": "b + 6", "k": "m + 18", "z": "f + 19", "w": "z + 6", "g": "w + 4", "n": "g + 8", "p": "n + 4", "x": "p + 17", "f": 6}, "premises": {"f": 6}, "target": "k"}, "answer": {"steps": [["m", "b + 6", "b + 24"], ["b", "y + 2", "y + 26"], ["y", "a + 19", "a + 45"], ["a", "t + 19", "t + 64"], ["t", "f + 1", "f + 65"], ["f", 6, "71"]], "target_var_name": "k", "target_value": 71, "value_dict": {"f": 6}, "is_reverse": true}} | 18,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 19; f = 6; z = f + 19; m = b + 6; w = z + 6; g = w + 4; k = m + 18; n = g + 8; x = p + 17; t = f + 1; y = a + 19; p = n + 4; b = y + 2. If f = 6, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 6 to k, which gives k = b + 24.\n2. Substitute b = y + 2 to k, which gives k = y + 26.\n3. Substitute y = a + 19 to k, which gives k = a + 45.\n4. Substitute a = t + 19 to k, which gives k = t + 64.\n5. Substitute t = f + 1 to k, which gives k = f + 65.\n6. Substitute f = 6 to k, which gives k = 71.\n\nThus, the final answer is k = \\boxed{71}.",
"index": 18930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = t + 19; f = 6; z = f + 19; m = b + 6; w = z + 6; g = w + 4; k = m + 18; n = g + 8; x = p + 17; t = f + 1; y = a + 19; p = n + 4; b = y + 2. If f = 6, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"l": "z + 15", "t": "l + 2", "y": "t + 14", "j": "y + 6", "k": "j + 12", "m": "k + 2", "h": "z + 19", "n": "h + 9", "e": "n + 2", "i": "e + 14", "v": "i + 16", "q": "v + 19", "z": 17}, "premises": {"z": 17}, "target": "m"}, "answer": {"steps": [["k", "j + 12", "j + 14"], ["j", "y + 6", "y + 20"], ["y", "t + 14", "t + 34"], ["t", "l + 2", "l + 36"], ["l", "z + 15", "z + 51"], ["z", 17, "68"]], "target_var_name": "m", "target_value": 68, "value_dict": {"z": 17}, "is_reverse": true}} | 18,931 | 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 = l + 2; m = k + 2; y = t + 14; n = h + 9; h = z + 19; e = n + 2; z = 17; v = i + 16; q = v + 19; k = j + 12; l = z + 15; i = e + 14; j = y + 6. If z = 17, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to m, which gives m = j + 14.\n2. Substitute j = y + 6 to m, which gives m = y + 20.\n3. Substitute y = t + 14 to m, which gives m = t + 34.\n4. Substitute t = l + 2 to m, which gives m = l + 36.\n5. Substitute l = z + 15 to m, which gives m = z + 51.\n6. Substitute z = 17 to m, which gives m = 68.\n\nThus, the final answer is m = \\boxed{68}.",
"index": 18931,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 2; m = k + 2; y = t + 14; n = h + 9; h = z + 19; e = n + 2; z = 17; v = i + 16; q = v + 19; k = j + 12; l = z + 15; i = e + 14; j = y + 6. If z = 17, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"x": "j + 9", "r": "x + 16", "n": "r + 19", "s": "n + 12", "y": "s + 8", "o": "y + 17", "k": "j + 4", "u": "k + 14", "g": "u + 11", "v": "g + 3", "h": "v + 18", "z": "h + 11", "j": 16}, "premises": {"j": 16}, "target": "o"}, "answer": {"steps": [["y", "s + 8", "s + 25"], ["s", "n + 12", "n + 37"], ["n", "r + 19", "r + 56"], ["r", "x + 16", "x + 72"], ["x", "j + 9", "j + 81"], ["j", 16, "97"]], "target_var_name": "o", "target_value": 97, "value_dict": {"j": 16}, "is_reverse": true}} | 18,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = y + 17; r = x + 16; s = n + 12; z = h + 11; y = s + 8; u = k + 14; v = g + 3; x = j + 9; h = v + 18; j = 16; g = u + 11; n = r + 19; k = j + 4. Given that j = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 8 to o, which gives o = s + 25.\n2. Substitute s = n + 12 to o, which gives o = n + 37.\n3. Substitute n = r + 19 to o, which gives o = r + 56.\n4. Substitute r = x + 16 to o, which gives o = x + 72.\n5. Substitute x = j + 9 to o, which gives o = j + 81.\n6. Substitute j = 16 to o, which gives o = 97.\n\nThus, the final answer is o = \\boxed{97}.",
"index": 18932,
"question": "Suppose a collection of variables is related by the following definitions: o = y + 17; r = x + 16; s = n + 12; z = h + 11; y = s + 8; u = k + 14; v = g + 3; x = j + 9; h = v + 18; j = 16; g = u + 11; n = r + 19; k = j + 4. Given that j = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "f + 14", "c": "t + 11", "d": "c + 13", "y": "d + 6", "i": "y + 16", "z": "i + 5", "m": "f + 17", "j": "m + 14", "x": "j + 14", "k": "x + 14", "w": "k + 14", "a": "w + 19", "f": 4}, "premises": {"f": 4}, "target": "z"}, "answer": {"steps": [["i", "y + 16", "y + 21"], ["y", "d + 6", "d + 27"], ["d", "c + 13", "c + 40"], ["c", "t + 11", "t + 51"], ["t", "f + 14", "f + 65"], ["f", 4, "69"]], "target_var_name": "z", "target_value": 69, "value_dict": {"f": 4}, "is_reverse": true}} | 18,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = f + 14; y = d + 6; a = w + 19; i = y + 16; f = 4; d = c + 13; w = k + 14; x = j + 14; j = m + 14; c = t + 11; k = x + 14; z = i + 5; m = f + 17. If f = 4, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 16 to z, which gives z = y + 21.\n2. Substitute y = d + 6 to z, which gives z = d + 27.\n3. Substitute d = c + 13 to z, which gives z = c + 40.\n4. Substitute c = t + 11 to z, which gives z = t + 51.\n5. Substitute t = f + 14 to z, which gives z = f + 65.\n6. Substitute f = 4 to z, which gives z = 69.\n\nThus, the final answer is z = \\boxed{69}.",
"index": 18933,
"question": "Consider a system of variables where each variable is defined as follows: t = f + 14; y = d + 6; a = w + 19; i = y + 16; f = 4; d = c + 13; w = k + 14; x = j + 14; j = m + 14; c = t + 11; k = x + 14; z = i + 5; m = f + 17. If f = 4, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 20", "x": "q + 2", "z": "x + 1", "o": "z + 4", "p": "o + 6", "y": "p + 15", "h": "j + 8", "n": "h + 11", "i": "n + 5", "l": "i + 19", "e": "l + 8", "t": "e + 16", "j": 3}, "premises": {"j": 3}, "target": "y"}, "answer": {"steps": [["p", "o + 6", "o + 21"], ["o", "z + 4", "z + 25"], ["z", "x + 1", "x + 26"], ["x", "q + 2", "q + 28"], ["q", "j + 20", "j + 48"], ["j", 3, "51"]], "target_var_name": "y", "target_value": 51, "value_dict": {"j": 3}, "is_reverse": true}} | 18,934 | 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 = q + 2; h = j + 8; l = i + 19; e = l + 8; z = x + 1; j = 3; q = j + 20; p = o + 6; y = p + 15; o = z + 4; n = h + 11; t = e + 16; i = n + 5. If j = 3, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = o + 6 to y, which gives y = o + 21.\n2. Substitute o = z + 4 to y, which gives y = z + 25.\n3. Substitute z = x + 1 to y, which gives y = x + 26.\n4. Substitute x = q + 2 to y, which gives y = q + 28.\n5. Substitute q = j + 20 to y, which gives y = j + 48.\n6. Substitute j = 3 to y, which gives y = 51.\n\nThus, the final answer is y = \\boxed{51}.",
"index": 18934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = q + 2; h = j + 8; l = i + 19; e = l + 8; z = x + 1; j = 3; q = j + 20; p = o + 6; y = p + 15; o = z + 4; n = h + 11; t = e + 16; i = n + 5. If j = 3, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"o": "x + 13", "e": "o + 14", "n": "e + 12", "h": "n + 8", "m": "h + 11", "w": "m + 9", "d": "x + 8", "i": "d + 3", "s": "i + 16", "r": "s + 16", "u": "r + 5", "c": "u + 11", "x": 20}, "premises": {"x": 20}, "target": "w"}, "answer": {"steps": [["m", "h + 11", "h + 20"], ["h", "n + 8", "n + 28"], ["n", "e + 12", "e + 40"], ["e", "o + 14", "o + 54"], ["o", "x + 13", "x + 67"], ["x", 20, "87"]], "target_var_name": "w", "target_value": 87, "value_dict": {"x": 20}, "is_reverse": true}} | 18,935 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = x + 13; r = s + 16; e = o + 14; w = m + 9; s = i + 16; c = u + 11; i = d + 3; d = x + 8; u = r + 5; h = n + 8; x = 20; m = h + 11; n = e + 12. Given that x = 20, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = h + 11 to w, which gives w = h + 20.\n2. Substitute h = n + 8 to w, which gives w = n + 28.\n3. Substitute n = e + 12 to w, which gives w = e + 40.\n4. Substitute e = o + 14 to w, which gives w = o + 54.\n5. Substitute o = x + 13 to w, which gives w = x + 67.\n6. Substitute x = 20 to w, which gives w = 87.\n\nThus, the final answer is w = \\boxed{87}.",
"index": 18935,
"question": "Suppose a collection of variables is related by the following definitions: o = x + 13; r = s + 16; e = o + 14; w = m + 9; s = i + 16; c = u + 11; i = d + 3; d = x + 8; u = r + 5; h = n + 8; x = 20; m = h + 11; n = e + 12. Given that x = 20, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 19", "h": "m + 17", "n": "h + 9", "y": "n + 19", "u": "y + 3", "g": "u + 19", "a": "r + 7", "e": "a + 12", "p": "e + 12", "j": "p + 9", "v": "j + 15", "f": "v + 17", "r": 5}, "premises": {"r": 5}, "target": "g"}, "answer": {"steps": [["u", "y + 3", "y + 22"], ["y", "n + 19", "n + 41"], ["n", "h + 9", "h + 50"], ["h", "m + 17", "m + 67"], ["m", "r + 19", "r + 86"], ["r", 5, "91"]], "target_var_name": "g", "target_value": 91, "value_dict": {"r": 5}, "is_reverse": true}} | 18,936 | 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 = 5; f = v + 17; a = r + 7; g = u + 19; e = a + 12; n = h + 9; p = e + 12; m = r + 19; y = n + 19; j = p + 9; v = j + 15; u = y + 3; h = m + 17. If r = 5, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 3 to g, which gives g = y + 22.\n2. Substitute y = n + 19 to g, which gives g = n + 41.\n3. Substitute n = h + 9 to g, which gives g = h + 50.\n4. Substitute h = m + 17 to g, which gives g = m + 67.\n5. Substitute m = r + 19 to g, which gives g = r + 86.\n6. Substitute r = 5 to g, which gives g = 91.\n\nThus, the final answer is g = \\boxed{91}.",
"index": 18936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = 5; f = v + 17; a = r + 7; g = u + 19; e = a + 12; n = h + 9; p = e + 12; m = r + 19; y = n + 19; j = p + 9; v = j + 15; u = y + 3; h = m + 17. If r = 5, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 19", "j": "r + 13", "e": "j + 16", "b": "e + 13", "p": "b + 5", "v": "p + 9", "y": "n + 13", "x": "y + 16", "u": "x + 16", "o": "u + 2", "t": "o + 5", "h": "t + 3", "n": 9}, "premises": {"n": 9}, "target": "v"}, "answer": {"steps": [["p", "b + 5", "b + 14"], ["b", "e + 13", "e + 27"], ["e", "j + 16", "j + 43"], ["j", "r + 13", "r + 56"], ["r", "n + 19", "n + 75"], ["n", 9, "84"]], "target_var_name": "v", "target_value": 84, "value_dict": {"n": 9}, "is_reverse": true}} | 18,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = t + 3; p = b + 5; y = n + 13; o = u + 2; u = x + 16; v = p + 9; j = r + 13; b = e + 13; n = 9; r = n + 19; x = y + 16; e = j + 16; t = o + 5. If n = 9, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 5 to v, which gives v = b + 14.\n2. Substitute b = e + 13 to v, which gives v = e + 27.\n3. Substitute e = j + 16 to v, which gives v = j + 43.\n4. Substitute j = r + 13 to v, which gives v = r + 56.\n5. Substitute r = n + 19 to v, which gives v = n + 75.\n6. Substitute n = 9 to v, which gives v = 84.\n\nThus, the final answer is v = \\boxed{84}.",
"index": 18937,
"question": "Consider a system of variables where each variable is defined as follows: h = t + 3; p = b + 5; y = n + 13; o = u + 2; u = x + 16; v = p + 9; j = r + 13; b = e + 13; n = 9; r = n + 19; x = y + 16; e = j + 16; t = o + 5. If n = 9, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"s": "t + 5", "c": "s + 14", "o": "c + 14", "f": "o + 2", "n": "f + 14", "b": "n + 8", "z": "t + 8", "m": "z + 18", "l": "m + 1", "x": "l + 6", "h": "x + 14", "r": "h + 3", "t": 19}, "premises": {"t": 19}, "target": "b"}, "answer": {"steps": [["n", "f + 14", "f + 22"], ["f", "o + 2", "o + 24"], ["o", "c + 14", "c + 38"], ["c", "s + 14", "s + 52"], ["s", "t + 5", "t + 57"], ["t", 19, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"t": 19}, "is_reverse": true}} | 18,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = o + 2; b = n + 8; l = m + 1; c = s + 14; s = t + 5; r = h + 3; m = z + 18; x = l + 6; n = f + 14; t = 19; o = c + 14; h = x + 14; z = t + 8. If t = 19, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = f + 14 to b, which gives b = f + 22.\n2. Substitute f = o + 2 to b, which gives b = o + 24.\n3. Substitute o = c + 14 to b, which gives b = c + 38.\n4. Substitute c = s + 14 to b, which gives b = s + 52.\n5. Substitute s = t + 5 to b, which gives b = t + 57.\n6. Substitute t = 19 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 18938,
"question": "Consider a system of variables where each variable is defined as follows: f = o + 2; b = n + 8; l = m + 1; c = s + 14; s = t + 5; r = h + 3; m = z + 18; x = l + 6; n = f + 14; t = 19; o = c + 14; h = x + 14; z = t + 8. If t = 19, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"i": "w + 2", "p": "i + 18", "l": "p + 17", "y": "l + 1", "g": "y + 18", "n": "g + 13", "t": "w + 1", "z": "t + 10", "f": "z + 16", "b": "f + 13", "o": "b + 7", "q": "o + 19", "w": 8}, "premises": {"w": 8}, "target": "n"}, "answer": {"steps": [["g", "y + 18", "y + 31"], ["y", "l + 1", "l + 32"], ["l", "p + 17", "p + 49"], ["p", "i + 18", "i + 67"], ["i", "w + 2", "w + 69"], ["w", 8, "77"]], "target_var_name": "n", "target_value": 77, "value_dict": {"w": 8}, "is_reverse": true}} | 18,939 | 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 = 8; l = p + 17; p = i + 18; z = t + 10; q = o + 19; i = w + 2; f = z + 16; g = y + 18; b = f + 13; o = b + 7; y = l + 1; n = g + 13; t = w + 1. If w = 8, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 18 to n, which gives n = y + 31.\n2. Substitute y = l + 1 to n, which gives n = l + 32.\n3. Substitute l = p + 17 to n, which gives n = p + 49.\n4. Substitute p = i + 18 to n, which gives n = i + 67.\n5. Substitute i = w + 2 to n, which gives n = w + 69.\n6. Substitute w = 8 to n, which gives n = 77.\n\nThus, the final answer is n = \\boxed{77}.",
"index": 18939,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = 8; l = p + 17; p = i + 18; z = t + 10; q = o + 19; i = w + 2; f = z + 16; g = y + 18; b = f + 13; o = b + 7; y = l + 1; n = g + 13; t = w + 1. If w = 8, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"j": "a + 16", "z": "j + 17", "v": "z + 16", "t": "v + 10", "m": "t + 15", "f": "m + 8", "o": "a + 11", "i": "o + 1", "c": "i + 8", "x": "c + 9", "k": "x + 15", "w": "k + 20", "a": 5}, "premises": {"a": 5}, "target": "f"}, "answer": {"steps": [["m", "t + 15", "t + 23"], ["t", "v + 10", "v + 33"], ["v", "z + 16", "z + 49"], ["z", "j + 17", "j + 66"], ["j", "a + 16", "a + 82"], ["a", 5, "87"]], "target_var_name": "f", "target_value": 87, "value_dict": {"a": 5}, "is_reverse": true}} | 18,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 8; v = z + 16; o = a + 11; k = x + 15; w = k + 20; a = 5; i = o + 1; z = j + 17; t = v + 10; j = a + 16; m = t + 15; c = i + 8; x = c + 9. If a = 5, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = t + 15 to f, which gives f = t + 23.\n2. Substitute t = v + 10 to f, which gives f = v + 33.\n3. Substitute v = z + 16 to f, which gives f = z + 49.\n4. Substitute z = j + 17 to f, which gives f = j + 66.\n5. Substitute j = a + 16 to f, which gives f = a + 82.\n6. Substitute a = 5 to f, which gives f = 87.\n\nThus, the final answer is f = \\boxed{87}.",
"index": 18940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = m + 8; v = z + 16; o = a + 11; k = x + 15; w = k + 20; a = 5; i = o + 1; z = j + 17; t = v + 10; j = a + 16; m = t + 15; c = i + 8; x = c + 9. If a = 5, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 4", "x": "a + 10", "c": "x + 12", "u": "c + 19", "t": "u + 15", "d": "t + 10", "v": "z + 10", "i": "v + 18", "l": "i + 10", "h": "l + 8", "k": "h + 14", "y": "k + 6", "z": 7}, "premises": {"z": 7}, "target": "d"}, "answer": {"steps": [["t", "u + 15", "u + 25"], ["u", "c + 19", "c + 44"], ["c", "x + 12", "x + 56"], ["x", "a + 10", "a + 66"], ["a", "z + 4", "z + 70"], ["z", 7, "77"]], "target_var_name": "d", "target_value": 77, "value_dict": {"z": 7}, "is_reverse": true}} | 18,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = i + 10; i = v + 18; h = l + 8; k = h + 14; d = t + 10; a = z + 4; z = 7; c = x + 12; t = u + 15; y = k + 6; u = c + 19; x = a + 10; v = z + 10. Given that z = 7, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = u + 15 to d, which gives d = u + 25.\n2. Substitute u = c + 19 to d, which gives d = c + 44.\n3. Substitute c = x + 12 to d, which gives d = x + 56.\n4. Substitute x = a + 10 to d, which gives d = a + 66.\n5. Substitute a = z + 4 to d, which gives d = z + 70.\n6. Substitute z = 7 to d, which gives d = 77.\n\nThus, the final answer is d = \\boxed{77}.",
"index": 18941,
"question": "Suppose a collection of variables is related by the following definitions: l = i + 10; i = v + 18; h = l + 8; k = h + 14; d = t + 10; a = z + 4; z = 7; c = x + 12; t = u + 15; y = k + 6; u = c + 19; x = a + 10; v = z + 10. Given that z = 7, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 9", "c": "s + 14", "n": "c + 12", "a": "n + 5", "g": "a + 20", "m": "g + 9", "i": "h + 1", "u": "i + 6", "x": "u + 1", "t": "x + 9", "l": "t + 4", "k": "l + 13", "h": 5}, "premises": {"h": 5}, "target": "m"}, "answer": {"steps": [["g", "a + 20", "a + 29"], ["a", "n + 5", "n + 34"], ["n", "c + 12", "c + 46"], ["c", "s + 14", "s + 60"], ["s", "h + 9", "h + 69"], ["h", 5, "74"]], "target_var_name": "m", "target_value": 74, "value_dict": {"h": 5}, "is_reverse": true}} | 18,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = 5; n = c + 12; l = t + 4; a = n + 5; s = h + 9; x = u + 1; m = g + 9; u = i + 6; k = l + 13; c = s + 14; i = h + 1; g = a + 20; t = x + 9. If h = 5, 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 g = a + 20 to m, which gives m = a + 29.\n2. Substitute a = n + 5 to m, which gives m = n + 34.\n3. Substitute n = c + 12 to m, which gives m = c + 46.\n4. Substitute c = s + 14 to m, which gives m = s + 60.\n5. Substitute s = h + 9 to m, which gives m = h + 69.\n6. Substitute h = 5 to m, which gives m = 74.\n\nThus, the final answer is m = \\boxed{74}.",
"index": 18942,
"question": "Consider a system of variables where each variable is defined as follows: h = 5; n = c + 12; l = t + 4; a = n + 5; s = h + 9; x = u + 1; m = g + 9; u = i + 6; k = l + 13; c = s + 14; i = h + 1; g = a + 20; t = x + 9. If h = 5, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 17", "l": "i + 4", "t": "l + 9", "n": "t + 18", "f": "n + 19", "m": "f + 5", "y": "e + 10", "r": "y + 10", "q": "r + 19", "c": "q + 17", "u": "c + 12", "h": "u + 14", "e": 19}, "premises": {"e": 19}, "target": "m"}, "answer": {"steps": [["f", "n + 19", "n + 24"], ["n", "t + 18", "t + 42"], ["t", "l + 9", "l + 51"], ["l", "i + 4", "i + 55"], ["i", "e + 17", "e + 72"], ["e", 19, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"e": 19}, "is_reverse": true}} | 18,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = t + 18; e = 19; m = f + 5; q = r + 19; r = y + 10; f = n + 19; l = i + 4; y = e + 10; i = e + 17; h = u + 14; t = l + 9; u = c + 12; c = q + 17. If e = 19, determine 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 f = n + 19 to m, which gives m = n + 24.\n2. Substitute n = t + 18 to m, which gives m = t + 42.\n3. Substitute t = l + 9 to m, which gives m = l + 51.\n4. Substitute l = i + 4 to m, which gives m = i + 55.\n5. Substitute i = e + 17 to m, which gives m = e + 72.\n6. Substitute e = 19 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 18943,
"question": "Consider a system of variables where each variable is defined as follows: n = t + 18; e = 19; m = f + 5; q = r + 19; r = y + 10; f = n + 19; l = i + 4; y = e + 10; i = e + 17; h = u + 14; t = l + 9; u = c + 12; c = q + 17. If e = 19, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 8", "y": "v + 13", "w": "y + 15", "l": "w + 10", "r": "l + 16", "o": "r + 4", "d": "c + 4", "a": "d + 14", "n": "a + 6", "t": "n + 17", "h": "t + 19", "s": "h + 7", "c": 16}, "premises": {"c": 16}, "target": "o"}, "answer": {"steps": [["r", "l + 16", "l + 20"], ["l", "w + 10", "w + 30"], ["w", "y + 15", "y + 45"], ["y", "v + 13", "v + 58"], ["v", "c + 8", "c + 66"], ["c", 16, "82"]], "target_var_name": "o", "target_value": 82, "value_dict": {"c": 16}, "is_reverse": true}} | 18,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = w + 10; c = 16; a = d + 14; s = h + 7; h = t + 19; n = a + 6; o = r + 4; y = v + 13; r = l + 16; w = y + 15; t = n + 17; d = c + 4; v = c + 8. If c = 16, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 16 to o, which gives o = l + 20.\n2. Substitute l = w + 10 to o, which gives o = w + 30.\n3. Substitute w = y + 15 to o, which gives o = y + 45.\n4. Substitute y = v + 13 to o, which gives o = v + 58.\n5. Substitute v = c + 8 to o, which gives o = c + 66.\n6. Substitute c = 16 to o, which gives o = 82.\n\nThus, the final answer is o = \\boxed{82}.",
"index": 18944,
"question": "Consider a system of variables where each variable is defined as follows: l = w + 10; c = 16; a = d + 14; s = h + 7; h = t + 19; n = a + 6; o = r + 4; y = v + 13; r = l + 16; w = y + 15; t = n + 17; d = c + 4; v = c + 8. If c = 16, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 16", "b": "g + 10", "k": "b + 12", "o": "k + 9", "w": "o + 18", "a": "w + 9", "x": "i + 9", "p": "x + 13", "q": "p + 18", "m": "q + 1", "d": "m + 10", "s": "d + 5", "i": 5}, "premises": {"i": 5}, "target": "a"}, "answer": {"steps": [["w", "o + 18", "o + 27"], ["o", "k + 9", "k + 36"], ["k", "b + 12", "b + 48"], ["b", "g + 10", "g + 58"], ["g", "i + 16", "i + 74"], ["i", 5, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"i": 5}, "is_reverse": true}} | 18,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 10; m = q + 1; q = p + 18; s = d + 5; o = k + 9; i = 5; b = g + 10; k = b + 12; a = w + 9; w = o + 18; g = i + 16; x = i + 9; p = x + 13. If i = 5, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = o + 18 to a, which gives a = o + 27.\n2. Substitute o = k + 9 to a, which gives a = k + 36.\n3. Substitute k = b + 12 to a, which gives a = b + 48.\n4. Substitute b = g + 10 to a, which gives a = g + 58.\n5. Substitute g = i + 16 to a, which gives a = i + 74.\n6. Substitute i = 5 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 18945,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 10; m = q + 1; q = p + 18; s = d + 5; o = k + 9; i = 5; b = g + 10; k = b + 12; a = w + 9; w = o + 18; g = i + 16; x = i + 9; p = x + 13. If i = 5, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"k": "l + 13", "n": "k + 11", "s": "n + 15", "o": "s + 1", "z": "o + 14", "e": "z + 13", "c": "l + 3", "d": "c + 2", "r": "d + 1", "t": "r + 20", "x": "t + 13", "b": "x + 1", "l": 5}, "premises": {"l": 5}, "target": "e"}, "answer": {"steps": [["z", "o + 14", "o + 27"], ["o", "s + 1", "s + 28"], ["s", "n + 15", "n + 43"], ["n", "k + 11", "k + 54"], ["k", "l + 13", "l + 67"], ["l", 5, "72"]], "target_var_name": "e", "target_value": 72, "value_dict": {"l": 5}, "is_reverse": true}} | 18,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = z + 13; l = 5; k = l + 13; t = r + 20; r = d + 1; c = l + 3; n = k + 11; z = o + 14; d = c + 2; x = t + 13; o = s + 1; b = x + 1; s = n + 15. Given that l = 5, 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 z = o + 14 to e, which gives e = o + 27.\n2. Substitute o = s + 1 to e, which gives e = s + 28.\n3. Substitute s = n + 15 to e, which gives e = n + 43.\n4. Substitute n = k + 11 to e, which gives e = k + 54.\n5. Substitute k = l + 13 to e, which gives e = l + 67.\n6. Substitute l = 5 to e, which gives e = 72.\n\nThus, the final answer is e = \\boxed{72}.",
"index": 18946,
"question": "Suppose a collection of variables is related by the following definitions: e = z + 13; l = 5; k = l + 13; t = r + 20; r = d + 1; c = l + 3; n = k + 11; z = o + 14; d = c + 2; x = t + 13; o = s + 1; b = x + 1; s = n + 15. Given that l = 5, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"a": "n + 5", "v": "a + 3", "z": "v + 9", "j": "z + 10", "u": "j + 13", "y": "u + 7", "c": "n + 1", "g": "c + 10", "s": "g + 14", "d": "s + 14", "r": "d + 10", "e": "r + 12", "n": 15}, "premises": {"n": 15}, "target": "y"}, "answer": {"steps": [["u", "j + 13", "j + 20"], ["j", "z + 10", "z + 30"], ["z", "v + 9", "v + 39"], ["v", "a + 3", "a + 42"], ["a", "n + 5", "n + 47"], ["n", 15, "62"]], "target_var_name": "y", "target_value": 62, "value_dict": {"n": 15}, "is_reverse": true}} | 18,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = d + 10; g = c + 10; v = a + 3; d = s + 14; a = n + 5; j = z + 10; s = g + 14; c = n + 1; z = v + 9; u = j + 13; y = u + 7; n = 15; e = r + 12. Given that n = 15, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = j + 13 to y, which gives y = j + 20.\n2. Substitute j = z + 10 to y, which gives y = z + 30.\n3. Substitute z = v + 9 to y, which gives y = v + 39.\n4. Substitute v = a + 3 to y, which gives y = a + 42.\n5. Substitute a = n + 5 to y, which gives y = n + 47.\n6. Substitute n = 15 to y, which gives y = 62.\n\nThus, the final answer is y = \\boxed{62}.",
"index": 18947,
"question": "Suppose a collection of variables is related by the following definitions: r = d + 10; g = c + 10; v = a + 3; d = s + 14; a = n + 5; j = z + 10; s = g + 14; c = n + 1; z = v + 9; u = j + 13; y = u + 7; n = 15; e = r + 12. Given that n = 15, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"z": "h + 9", "x": "z + 17", "i": "x + 10", "d": "i + 11", "e": "d + 19", "r": "e + 5", "j": "h + 1", "o": "j + 17", "k": "o + 19", "m": "k + 19", "u": "m + 4", "w": "u + 6", "h": 9}, "premises": {"h": 9}, "target": "r"}, "answer": {"steps": [["e", "d + 19", "d + 24"], ["d", "i + 11", "i + 35"], ["i", "x + 10", "x + 45"], ["x", "z + 17", "z + 62"], ["z", "h + 9", "h + 71"], ["h", 9, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"h": 9}, "is_reverse": true}} | 18,948 | 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 = h + 9; x = z + 17; e = d + 19; i = x + 10; w = u + 6; j = h + 1; h = 9; m = k + 19; o = j + 17; r = e + 5; k = o + 19; d = i + 11; u = m + 4. If h = 9, what is the resulting 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 e = d + 19 to r, which gives r = d + 24.\n2. Substitute d = i + 11 to r, which gives r = i + 35.\n3. Substitute i = x + 10 to r, which gives r = x + 45.\n4. Substitute x = z + 17 to r, which gives r = z + 62.\n5. Substitute z = h + 9 to r, which gives r = h + 71.\n6. Substitute h = 9 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 18948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = h + 9; x = z + 17; e = d + 19; i = x + 10; w = u + 6; j = h + 1; h = 9; m = k + 19; o = j + 17; r = e + 5; k = o + 19; d = i + 11; u = m + 4. If h = 9, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"d": "b + 16", "w": "d + 19", "m": "w + 15", "h": "m + 16", "c": "h + 17", "r": "c + 11", "l": "b + 16", "o": "l + 14", "k": "o + 6", "p": "k + 7", "v": "p + 6", "z": "v + 10", "b": 13}, "premises": {"b": 13}, "target": "r"}, "answer": {"steps": [["c", "h + 17", "h + 28"], ["h", "m + 16", "m + 44"], ["m", "w + 15", "w + 59"], ["w", "d + 19", "d + 78"], ["d", "b + 16", "b + 94"], ["b", 13, "107"]], "target_var_name": "r", "target_value": 107, "value_dict": {"b": 13}, "is_reverse": true}} | 18,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = h + 17; p = k + 7; w = d + 19; m = w + 15; k = o + 6; b = 13; h = m + 16; v = p + 6; d = b + 16; l = b + 16; z = v + 10; o = l + 14; r = c + 11. Given that b = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 107,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 17 to r, which gives r = h + 28.\n2. Substitute h = m + 16 to r, which gives r = m + 44.\n3. Substitute m = w + 15 to r, which gives r = w + 59.\n4. Substitute w = d + 19 to r, which gives r = d + 78.\n5. Substitute d = b + 16 to r, which gives r = b + 94.\n6. Substitute b = 13 to r, which gives r = 107.\n\nThus, the final answer is r = \\boxed{107}.",
"index": 18949,
"question": "Suppose a collection of variables is related by the following definitions: c = h + 17; p = k + 7; w = d + 19; m = w + 15; k = o + 6; b = 13; h = m + 16; v = p + 6; d = b + 16; l = b + 16; z = v + 10; o = l + 14; r = c + 11. Given that b = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 17", "l": "f + 8", "y": "l + 8", "m": "y + 2", "i": "m + 11", "s": "i + 18", "d": "j + 7", "o": "d + 5", "x": "o + 7", "t": "x + 9", "n": "t + 17", "p": "n + 7", "j": 20}, "premises": {"j": 20}, "target": "s"}, "answer": {"steps": [["i", "m + 11", "m + 29"], ["m", "y + 2", "y + 31"], ["y", "l + 8", "l + 39"], ["l", "f + 8", "f + 47"], ["f", "j + 17", "j + 64"], ["j", 20, "84"]], "target_var_name": "s", "target_value": 84, "value_dict": {"j": 20}, "is_reverse": true}} | 18,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 7; m = y + 2; t = x + 9; n = t + 17; i = m + 11; p = n + 7; j = 20; o = d + 5; y = l + 8; s = i + 18; l = f + 8; f = j + 17; d = j + 7. If j = 20, what is the resulting 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 i = m + 11 to s, which gives s = m + 29.\n2. Substitute m = y + 2 to s, which gives s = y + 31.\n3. Substitute y = l + 8 to s, which gives s = l + 39.\n4. Substitute l = f + 8 to s, which gives s = f + 47.\n5. Substitute f = j + 17 to s, which gives s = j + 64.\n6. Substitute j = 20 to s, which gives s = 84.\n\nThus, the final answer is s = \\boxed{84}.",
"index": 18950,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = o + 7; m = y + 2; t = x + 9; n = t + 17; i = m + 11; p = n + 7; j = 20; o = d + 5; y = l + 8; s = i + 18; l = f + 8; f = j + 17; d = j + 7. If j = 20, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"f": "w + 1", "c": "f + 18", "i": "c + 2", "r": "i + 11", "z": "r + 17", "e": "z + 19", "y": "w + 9", "d": "y + 18", "g": "d + 5", "v": "g + 13", "o": "v + 5", "x": "o + 1", "w": 1}, "premises": {"w": 1}, "target": "e"}, "answer": {"steps": [["z", "r + 17", "r + 36"], ["r", "i + 11", "i + 47"], ["i", "c + 2", "c + 49"], ["c", "f + 18", "f + 67"], ["f", "w + 1", "w + 68"], ["w", 1, "69"]], "target_var_name": "e", "target_value": 69, "value_dict": {"w": 1}, "is_reverse": true}} | 18,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = 1; g = d + 5; o = v + 5; v = g + 13; r = i + 11; c = f + 18; y = w + 9; i = c + 2; d = y + 18; x = o + 1; z = r + 17; f = w + 1; e = z + 19. Given that w = 1, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 17 to e, which gives e = r + 36.\n2. Substitute r = i + 11 to e, which gives e = i + 47.\n3. Substitute i = c + 2 to e, which gives e = c + 49.\n4. Substitute c = f + 18 to e, which gives e = f + 67.\n5. Substitute f = w + 1 to e, which gives e = w + 68.\n6. Substitute w = 1 to e, which gives e = 69.\n\nThus, the final answer is e = \\boxed{69}.",
"index": 18951,
"question": "Suppose a collection of variables is related by the following definitions: w = 1; g = d + 5; o = v + 5; v = g + 13; r = i + 11; c = f + 18; y = w + 9; i = c + 2; d = y + 18; x = o + 1; z = r + 17; f = w + 1; e = z + 19. Given that w = 1, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "b + 4", "u": "m + 2", "l": "u + 5", "h": "l + 4", "s": "h + 10", "o": "s + 9", "f": "b + 2", "e": "f + 9", "q": "e + 9", "i": "q + 9", "t": "i + 13", "y": "t + 11", "b": 10}, "premises": {"b": 10}, "target": "o"}, "answer": {"steps": [["s", "h + 10", "h + 19"], ["h", "l + 4", "l + 23"], ["l", "u + 5", "u + 28"], ["u", "m + 2", "m + 30"], ["m", "b + 4", "b + 34"], ["b", 10, "44"]], "target_var_name": "o", "target_value": 44, "value_dict": {"b": 10}, "is_reverse": true}} | 18,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 9; y = t + 11; q = e + 9; b = 10; f = b + 2; t = i + 13; u = m + 2; h = l + 4; o = s + 9; m = b + 4; l = u + 5; s = h + 10; e = f + 9. Given that b = 10, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = h + 10 to o, which gives o = h + 19.\n2. Substitute h = l + 4 to o, which gives o = l + 23.\n3. Substitute l = u + 5 to o, which gives o = u + 28.\n4. Substitute u = m + 2 to o, which gives o = m + 30.\n5. Substitute m = b + 4 to o, which gives o = b + 34.\n6. Substitute b = 10 to o, which gives o = 44.\n\nThus, the final answer is o = \\boxed{44}.",
"index": 18952,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 9; y = t + 11; q = e + 9; b = 10; f = b + 2; t = i + 13; u = m + 2; h = l + 4; o = s + 9; m = b + 4; l = u + 5; s = h + 10; e = f + 9. Given that b = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"b": "j + 17", "z": "b + 7", "s": "z + 12", "x": "s + 9", "i": "x + 12", "v": "i + 13", "t": "j + 7", "h": "t + 1", "d": "h + 8", "y": "d + 6", "f": "y + 20", "c": "f + 3", "j": 4}, "premises": {"j": 4}, "target": "v"}, "answer": {"steps": [["i", "x + 12", "x + 25"], ["x", "s + 9", "s + 34"], ["s", "z + 12", "z + 46"], ["z", "b + 7", "b + 53"], ["b", "j + 17", "j + 70"], ["j", 4, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"j": 4}, "is_reverse": true}} | 18,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 7; y = d + 6; i = x + 12; h = t + 1; f = y + 20; s = z + 12; j = 4; b = j + 17; t = j + 7; d = h + 8; x = s + 9; v = i + 13; c = f + 3. If j = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = x + 12 to v, which gives v = x + 25.\n2. Substitute x = s + 9 to v, which gives v = s + 34.\n3. Substitute s = z + 12 to v, which gives v = z + 46.\n4. Substitute z = b + 7 to v, which gives v = b + 53.\n5. Substitute b = j + 17 to v, which gives v = j + 70.\n6. Substitute j = 4 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 18953,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 7; y = d + 6; i = x + 12; h = t + 1; f = y + 20; s = z + 12; j = 4; b = j + 17; t = j + 7; d = h + 8; x = s + 9; v = i + 13; c = f + 3. If j = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"b": "k + 6", "t": "b + 14", "z": "t + 2", "x": "z + 10", "l": "x + 15", "o": "l + 2", "r": "k + 3", "j": "r + 2", "u": "j + 6", "w": "u + 6", "n": "w + 6", "v": "n + 14", "k": 17}, "premises": {"k": 17}, "target": "o"}, "answer": {"steps": [["l", "x + 15", "x + 17"], ["x", "z + 10", "z + 27"], ["z", "t + 2", "t + 29"], ["t", "b + 14", "b + 43"], ["b", "k + 6", "k + 49"], ["k", 17, "66"]], "target_var_name": "o", "target_value": 66, "value_dict": {"k": 17}, "is_reverse": true}} | 18,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 14; o = l + 2; v = n + 14; r = k + 3; l = x + 15; u = j + 6; b = k + 6; x = z + 10; j = r + 2; w = u + 6; n = w + 6; k = 17; z = t + 2. If k = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = x + 15 to o, which gives o = x + 17.\n2. Substitute x = z + 10 to o, which gives o = z + 27.\n3. Substitute z = t + 2 to o, which gives o = t + 29.\n4. Substitute t = b + 14 to o, which gives o = b + 43.\n5. Substitute b = k + 6 to o, which gives o = k + 49.\n6. Substitute k = 17 to o, which gives o = 66.\n\nThus, the final answer is o = \\boxed{66}.",
"index": 18954,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = b + 14; o = l + 2; v = n + 14; r = k + 3; l = x + 15; u = j + 6; b = k + 6; x = z + 10; j = r + 2; w = u + 6; n = w + 6; k = 17; z = t + 2. If k = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"u": "q + 18", "k": "u + 2", "d": "k + 14", "g": "d + 11", "n": "g + 15", "x": "n + 1", "a": "q + 18", "w": "a + 14", "t": "w + 14", "v": "t + 14", "c": "v + 6", "f": "c + 8", "q": 6}, "premises": {"q": 6}, "target": "x"}, "answer": {"steps": [["n", "g + 15", "g + 16"], ["g", "d + 11", "d + 27"], ["d", "k + 14", "k + 41"], ["k", "u + 2", "u + 43"], ["u", "q + 18", "q + 61"], ["q", 6, "67"]], "target_var_name": "x", "target_value": 67, "value_dict": {"q": 6}, "is_reverse": true}} | 18,955 | 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 = t + 14; d = k + 14; u = q + 18; a = q + 18; c = v + 6; f = c + 8; q = 6; t = w + 14; x = n + 1; w = a + 14; k = u + 2; g = d + 11; n = g + 15. If q = 6, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 15 to x, which gives x = g + 16.\n2. Substitute g = d + 11 to x, which gives x = d + 27.\n3. Substitute d = k + 14 to x, which gives x = k + 41.\n4. Substitute k = u + 2 to x, which gives x = u + 43.\n5. Substitute u = q + 18 to x, which gives x = q + 61.\n6. Substitute q = 6 to x, which gives x = 67.\n\nThus, the final answer is x = \\boxed{67}.",
"index": 18955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = t + 14; d = k + 14; u = q + 18; a = q + 18; c = v + 6; f = c + 8; q = 6; t = w + 14; x = n + 1; w = a + 14; k = u + 2; g = d + 11; n = g + 15. If q = 6, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"x": "f + 5", "a": "x + 11", "e": "a + 1", "b": "e + 13", "o": "b + 6", "t": "o + 9", "s": "f + 14", "q": "s + 2", "k": "q + 14", "r": "k + 6", "u": "r + 18", "c": "u + 9", "f": 12}, "premises": {"f": 12}, "target": "t"}, "answer": {"steps": [["o", "b + 6", "b + 15"], ["b", "e + 13", "e + 28"], ["e", "a + 1", "a + 29"], ["a", "x + 11", "x + 40"], ["x", "f + 5", "f + 45"], ["f", 12, "57"]], "target_var_name": "t", "target_value": 57, "value_dict": {"f": 12}, "is_reverse": true}} | 18,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = o + 9; r = k + 6; a = x + 11; q = s + 2; e = a + 1; s = f + 14; f = 12; k = q + 14; x = f + 5; b = e + 13; u = r + 18; o = b + 6; c = u + 9. If f = 12, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = b + 6 to t, which gives t = b + 15.\n2. Substitute b = e + 13 to t, which gives t = e + 28.\n3. Substitute e = a + 1 to t, which gives t = a + 29.\n4. Substitute a = x + 11 to t, which gives t = x + 40.\n5. Substitute x = f + 5 to t, which gives t = f + 45.\n6. Substitute f = 12 to t, which gives t = 57.\n\nThus, the final answer is t = \\boxed{57}.",
"index": 18956,
"question": "Consider a system of variables where each variable is defined as follows: t = o + 9; r = k + 6; a = x + 11; q = s + 2; e = a + 1; s = f + 14; f = 12; k = q + 14; x = f + 5; b = e + 13; u = r + 18; o = b + 6; c = u + 9. If f = 12, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 5", "w": "i + 5", "c": "w + 9", "m": "c + 1", "v": "m + 15", "t": "v + 16", "j": "q + 6", "x": "j + 8", "f": "x + 4", "k": "f + 17", "r": "k + 9", "e": "r + 11", "q": 8}, "premises": {"q": 8}, "target": "t"}, "answer": {"steps": [["v", "m + 15", "m + 31"], ["m", "c + 1", "c + 32"], ["c", "w + 9", "w + 41"], ["w", "i + 5", "i + 46"], ["i", "q + 5", "q + 51"], ["q", 8, "59"]], "target_var_name": "t", "target_value": 59, "value_dict": {"q": 8}, "is_reverse": true}} | 18,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = w + 9; f = x + 4; j = q + 6; t = v + 16; r = k + 9; x = j + 8; w = i + 5; v = m + 15; i = q + 5; k = f + 17; m = c + 1; e = r + 11; q = 8. If q = 8, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = m + 15 to t, which gives t = m + 31.\n2. Substitute m = c + 1 to t, which gives t = c + 32.\n3. Substitute c = w + 9 to t, which gives t = w + 41.\n4. Substitute w = i + 5 to t, which gives t = i + 46.\n5. Substitute i = q + 5 to t, which gives t = q + 51.\n6. Substitute q = 8 to t, which gives t = 59.\n\nThus, the final answer is t = \\boxed{59}.",
"index": 18957,
"question": "Consider a system of variables where each variable is defined as follows: c = w + 9; f = x + 4; j = q + 6; t = v + 16; r = k + 9; x = j + 8; w = i + 5; v = m + 15; i = q + 5; k = f + 17; m = c + 1; e = r + 11; q = 8. If q = 8, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 19", "z": "r + 4", "c": "z + 20", "d": "c + 17", "n": "d + 9", "m": "n + 16", "o": "f + 10", "l": "o + 18", "j": "l + 14", "q": "j + 14", "u": "q + 20", "b": "u + 13", "f": 8}, "premises": {"f": 8}, "target": "m"}, "answer": {"steps": [["n", "d + 9", "d + 25"], ["d", "c + 17", "c + 42"], ["c", "z + 20", "z + 62"], ["z", "r + 4", "r + 66"], ["r", "f + 19", "f + 85"], ["f", 8, "93"]], "target_var_name": "m", "target_value": 93, "value_dict": {"f": 8}, "is_reverse": true}} | 18,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = j + 14; m = n + 16; n = d + 9; z = r + 4; c = z + 20; r = f + 19; d = c + 17; u = q + 20; o = f + 10; j = l + 14; b = u + 13; l = o + 18; f = 8. Given that f = 8, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = d + 9 to m, which gives m = d + 25.\n2. Substitute d = c + 17 to m, which gives m = c + 42.\n3. Substitute c = z + 20 to m, which gives m = z + 62.\n4. Substitute z = r + 4 to m, which gives m = r + 66.\n5. Substitute r = f + 19 to m, which gives m = f + 85.\n6. Substitute f = 8 to m, which gives m = 93.\n\nThus, the final answer is m = \\boxed{93}.",
"index": 18958,
"question": "Suppose a collection of variables is related by the following definitions: q = j + 14; m = n + 16; n = d + 9; z = r + 4; c = z + 20; r = f + 19; d = c + 17; u = q + 20; o = f + 10; j = l + 14; b = u + 13; l = o + 18; f = 8. Given that f = 8, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "q + 11", "p": "s + 18", "v": "p + 15", "b": "v + 12", "y": "b + 6", "r": "y + 7", "c": "q + 19", "u": "c + 17", "o": "u + 16", "t": "o + 12", "n": "t + 2", "z": "n + 7", "q": 13}, "premises": {"q": 13}, "target": "r"}, "answer": {"steps": [["y", "b + 6", "b + 13"], ["b", "v + 12", "v + 25"], ["v", "p + 15", "p + 40"], ["p", "s + 18", "s + 58"], ["s", "q + 11", "q + 69"], ["q", 13, "82"]], "target_var_name": "r", "target_value": 82, "value_dict": {"q": 13}, "is_reverse": true}} | 18,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = v + 12; r = y + 7; t = o + 12; v = p + 15; q = 13; z = n + 7; s = q + 11; n = t + 2; y = b + 6; o = u + 16; u = c + 17; p = s + 18; c = q + 19. If q = 13, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = b + 6 to r, which gives r = b + 13.\n2. Substitute b = v + 12 to r, which gives r = v + 25.\n3. Substitute v = p + 15 to r, which gives r = p + 40.\n4. Substitute p = s + 18 to r, which gives r = s + 58.\n5. Substitute s = q + 11 to r, which gives r = q + 69.\n6. Substitute q = 13 to r, which gives r = 82.\n\nThus, the final answer is r = \\boxed{82}.",
"index": 18959,
"question": "Consider a system of variables where each variable is defined as follows: b = v + 12; r = y + 7; t = o + 12; v = p + 15; q = 13; z = n + 7; s = q + 11; n = t + 2; y = b + 6; o = u + 16; u = c + 17; p = s + 18; c = q + 19. If q = 13, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 7", "g": "a + 3", "r": "g + 16", "c": "r + 11", "v": "c + 20", "h": "v + 20", "u": "i + 19", "e": "u + 12", "j": "e + 5", "m": "j + 4", "z": "m + 9", "p": "z + 12", "i": 11}, "premises": {"i": 11}, "target": "h"}, "answer": {"steps": [["v", "c + 20", "c + 40"], ["c", "r + 11", "r + 51"], ["r", "g + 16", "g + 67"], ["g", "a + 3", "a + 70"], ["a", "i + 7", "i + 77"], ["i", 11, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"i": 11}, "is_reverse": true}} | 18,960 | 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 = i + 7; j = e + 5; g = a + 3; u = i + 19; m = j + 4; h = v + 20; r = g + 16; v = c + 20; i = 11; e = u + 12; c = r + 11; p = z + 12; z = m + 9. If i = 11, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 20 to h, which gives h = c + 40.\n2. Substitute c = r + 11 to h, which gives h = r + 51.\n3. Substitute r = g + 16 to h, which gives h = g + 67.\n4. Substitute g = a + 3 to h, which gives h = a + 70.\n5. Substitute a = i + 7 to h, which gives h = i + 77.\n6. Substitute i = 11 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 18960,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = i + 7; j = e + 5; g = a + 3; u = i + 19; m = j + 4; h = v + 20; r = g + 16; v = c + 20; i = 11; e = u + 12; c = r + 11; p = z + 12; z = m + 9. If i = 11, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 9", "d": "t + 17", "j": "d + 1", "i": "j + 7", "p": "i + 12", "l": "p + 12", "h": "n + 13", "f": "h + 2", "m": "f + 11", "u": "m + 11", "o": "u + 1", "q": "o + 19", "n": 6}, "premises": {"n": 6}, "target": "l"}, "answer": {"steps": [["p", "i + 12", "i + 24"], ["i", "j + 7", "j + 31"], ["j", "d + 1", "d + 32"], ["d", "t + 17", "t + 49"], ["t", "n + 9", "n + 58"], ["n", 6, "64"]], "target_var_name": "l", "target_value": 64, "value_dict": {"n": 6}, "is_reverse": true}} | 18,961 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = f + 11; q = o + 19; l = p + 12; j = d + 1; u = m + 11; t = n + 9; d = t + 17; i = j + 7; h = n + 13; f = h + 2; n = 6; p = i + 12; o = u + 1. Given that n = 6, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = i + 12 to l, which gives l = i + 24.\n2. Substitute i = j + 7 to l, which gives l = j + 31.\n3. Substitute j = d + 1 to l, which gives l = d + 32.\n4. Substitute d = t + 17 to l, which gives l = t + 49.\n5. Substitute t = n + 9 to l, which gives l = n + 58.\n6. Substitute n = 6 to l, which gives l = 64.\n\nThus, the final answer is l = \\boxed{64}.",
"index": 18961,
"question": "Suppose a collection of variables is related by the following definitions: m = f + 11; q = o + 19; l = p + 12; j = d + 1; u = m + 11; t = n + 9; d = t + 17; i = j + 7; h = n + 13; f = h + 2; n = 6; p = i + 12; o = u + 1. Given that n = 6, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"t": "a + 10", "u": "t + 13", "v": "u + 3", "e": "v + 8", "c": "e + 10", "y": "c + 3", "j": "a + 3", "l": "j + 10", "r": "l + 4", "o": "r + 5", "x": "o + 5", "i": "x + 9", "a": 20}, "premises": {"a": 20}, "target": "y"}, "answer": {"steps": [["c", "e + 10", "e + 13"], ["e", "v + 8", "v + 21"], ["v", "u + 3", "u + 24"], ["u", "t + 13", "t + 37"], ["t", "a + 10", "a + 47"], ["a", 20, "67"]], "target_var_name": "y", "target_value": 67, "value_dict": {"a": 20}, "is_reverse": true}} | 18,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = a + 10; i = x + 9; o = r + 5; e = v + 8; r = l + 4; y = c + 3; x = o + 5; u = t + 13; v = u + 3; c = e + 10; a = 20; j = a + 3; l = j + 10. Given that a = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = e + 10 to y, which gives y = e + 13.\n2. Substitute e = v + 8 to y, which gives y = v + 21.\n3. Substitute v = u + 3 to y, which gives y = u + 24.\n4. Substitute u = t + 13 to y, which gives y = t + 37.\n5. Substitute t = a + 10 to y, which gives y = a + 47.\n6. Substitute a = 20 to y, which gives y = 67.\n\nThus, the final answer is y = \\boxed{67}.",
"index": 18962,
"question": "Suppose a collection of variables is related by the following definitions: t = a + 10; i = x + 9; o = r + 5; e = v + 8; r = l + 4; y = c + 3; x = o + 5; u = t + 13; v = u + 3; c = e + 10; a = 20; j = a + 3; l = j + 10. Given that a = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "m + 14", "b": "y + 1", "d": "b + 17", "x": "d + 11", "z": "x + 13", "s": "z + 1", "n": "m + 20", "r": "n + 16", "w": "r + 15", "g": "w + 20", "k": "g + 5", "v": "k + 7", "m": 13}, "premises": {"m": 13}, "target": "s"}, "answer": {"steps": [["z", "x + 13", "x + 14"], ["x", "d + 11", "d + 25"], ["d", "b + 17", "b + 42"], ["b", "y + 1", "y + 43"], ["y", "m + 14", "m + 57"], ["m", 13, "70"]], "target_var_name": "s", "target_value": 70, "value_dict": {"m": 13}, "is_reverse": true}} | 18,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = k + 7; w = r + 15; k = g + 5; m = 13; z = x + 13; b = y + 1; n = m + 20; g = w + 20; d = b + 17; s = z + 1; x = d + 11; y = m + 14; r = n + 16. If m = 13, determine the 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 z = x + 13 to s, which gives s = x + 14.\n2. Substitute x = d + 11 to s, which gives s = d + 25.\n3. Substitute d = b + 17 to s, which gives s = b + 42.\n4. Substitute b = y + 1 to s, which gives s = y + 43.\n5. Substitute y = m + 14 to s, which gives s = m + 57.\n6. Substitute m = 13 to s, which gives s = 70.\n\nThus, the final answer is s = \\boxed{70}.",
"index": 18963,
"question": "Consider a system of variables where each variable is defined as follows: v = k + 7; w = r + 15; k = g + 5; m = 13; z = x + 13; b = y + 1; n = m + 20; g = w + 20; d = b + 17; s = z + 1; x = d + 11; y = m + 14; r = n + 16. If m = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 6", "x": "o + 5", "u": "x + 19", "j": "u + 11", "l": "j + 8", "t": "l + 10", "d": "y + 2", "g": "d + 14", "b": "g + 19", "h": "b + 17", "p": "h + 13", "c": "p + 1", "y": 4}, "premises": {"y": 4}, "target": "t"}, "answer": {"steps": [["l", "j + 8", "j + 18"], ["j", "u + 11", "u + 29"], ["u", "x + 19", "x + 48"], ["x", "o + 5", "o + 53"], ["o", "y + 6", "y + 59"], ["y", 4, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"y": 4}, "is_reverse": true}} | 18,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = l + 10; c = p + 1; b = g + 19; p = h + 13; d = y + 2; l = j + 8; j = u + 11; g = d + 14; y = 4; o = y + 6; u = x + 19; x = o + 5; h = b + 17. If y = 4, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = j + 8 to t, which gives t = j + 18.\n2. Substitute j = u + 11 to t, which gives t = u + 29.\n3. Substitute u = x + 19 to t, which gives t = x + 48.\n4. Substitute x = o + 5 to t, which gives t = o + 53.\n5. Substitute o = y + 6 to t, which gives t = y + 59.\n6. Substitute y = 4 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 18964,
"question": "Consider a system of variables where each variable is defined as follows: t = l + 10; c = p + 1; b = g + 19; p = h + 13; d = y + 2; l = j + 8; j = u + 11; g = d + 14; y = 4; o = y + 6; u = x + 19; x = o + 5; h = b + 17. If y = 4, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"c": "e + 10", "g": "c + 17", "a": "g + 13", "p": "a + 2", "s": "p + 12", "f": "s + 13", "w": "e + 18", "v": "w + 18", "n": "v + 17", "o": "n + 15", "z": "o + 19", "h": "z + 18", "e": 5}, "premises": {"e": 5}, "target": "f"}, "answer": {"steps": [["s", "p + 12", "p + 25"], ["p", "a + 2", "a + 27"], ["a", "g + 13", "g + 40"], ["g", "c + 17", "c + 57"], ["c", "e + 10", "e + 67"], ["e", 5, "72"]], "target_var_name": "f", "target_value": 72, "value_dict": {"e": 5}, "is_reverse": true}} | 18,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = c + 17; p = a + 2; a = g + 13; s = p + 12; z = o + 19; o = n + 15; f = s + 13; h = z + 18; n = v + 17; w = e + 18; v = w + 18; c = e + 10; e = 5. If e = 5, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 12 to f, which gives f = p + 25.\n2. Substitute p = a + 2 to f, which gives f = a + 27.\n3. Substitute a = g + 13 to f, which gives f = g + 40.\n4. Substitute g = c + 17 to f, which gives f = c + 57.\n5. Substitute c = e + 10 to f, which gives f = e + 67.\n6. Substitute e = 5 to f, which gives f = 72.\n\nThus, the final answer is f = \\boxed{72}.",
"index": 18965,
"question": "Consider a system of variables where each variable is defined as follows: g = c + 17; p = a + 2; a = g + 13; s = p + 12; z = o + 19; o = n + 15; f = s + 13; h = z + 18; n = v + 17; w = e + 18; v = w + 18; c = e + 10; e = 5. If e = 5, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 12", "k": "u + 6", "x": "k + 11", "b": "x + 10", "h": "b + 11", "r": "h + 10", "z": "s + 11", "q": "z + 20", "d": "q + 6", "t": "d + 9", "n": "t + 16", "w": "n + 14", "s": 7}, "premises": {"s": 7}, "target": "r"}, "answer": {"steps": [["h", "b + 11", "b + 21"], ["b", "x + 10", "x + 31"], ["x", "k + 11", "k + 42"], ["k", "u + 6", "u + 48"], ["u", "s + 12", "s + 60"], ["s", 7, "67"]], "target_var_name": "r", "target_value": 67, "value_dict": {"s": 7}, "is_reverse": true}} | 18,966 | 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 = s + 12; x = k + 11; r = h + 10; s = 7; d = q + 6; n = t + 16; h = b + 11; t = d + 9; w = n + 14; b = x + 10; k = u + 6; z = s + 11; q = z + 20. If s = 7, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 11 to r, which gives r = b + 21.\n2. Substitute b = x + 10 to r, which gives r = x + 31.\n3. Substitute x = k + 11 to r, which gives r = k + 42.\n4. Substitute k = u + 6 to r, which gives r = u + 48.\n5. Substitute u = s + 12 to r, which gives r = s + 60.\n6. Substitute s = 7 to r, which gives r = 67.\n\nThus, the final answer is r = \\boxed{67}.",
"index": 18966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = s + 12; x = k + 11; r = h + 10; s = 7; d = q + 6; n = t + 16; h = b + 11; t = d + 9; w = n + 14; b = x + 10; k = u + 6; z = s + 11; q = z + 20. If s = 7, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 1", "r": "b + 1", "e": "r + 10", "p": "e + 3", "j": "p + 8", "w": "j + 1", "o": "f + 3", "m": "o + 15", "g": "m + 1", "h": "g + 16", "i": "h + 18", "t": "i + 4", "f": 5}, "premises": {"f": 5}, "target": "w"}, "answer": {"steps": [["j", "p + 8", "p + 9"], ["p", "e + 3", "e + 12"], ["e", "r + 10", "r + 22"], ["r", "b + 1", "b + 23"], ["b", "f + 1", "f + 24"], ["f", 5, "29"]], "target_var_name": "w", "target_value": 29, "value_dict": {"f": 5}, "is_reverse": true}} | 18,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = f + 1; p = e + 3; e = r + 10; j = p + 8; g = m + 1; f = 5; t = i + 4; o = f + 3; w = j + 1; i = h + 18; r = b + 1; h = g + 16; m = o + 15. Given that f = 5, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 29,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = p + 8 to w, which gives w = p + 9.\n2. Substitute p = e + 3 to w, which gives w = e + 12.\n3. Substitute e = r + 10 to w, which gives w = r + 22.\n4. Substitute r = b + 1 to w, which gives w = b + 23.\n5. Substitute b = f + 1 to w, which gives w = f + 24.\n6. Substitute f = 5 to w, which gives w = 29.\n\nThus, the final answer is w = \\boxed{29}.",
"index": 18967,
"question": "Suppose a collection of variables is related by the following definitions: b = f + 1; p = e + 3; e = r + 10; j = p + 8; g = m + 1; f = 5; t = i + 4; o = f + 3; w = j + 1; i = h + 18; r = b + 1; h = g + 16; m = o + 15. Given that f = 5, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"t": "v + 2", "k": "t + 7", "f": "k + 4", "d": "f + 13", "l": "d + 6", "m": "l + 15", "q": "v + 20", "g": "q + 7", "j": "g + 4", "o": "j + 9", "b": "o + 18", "r": "b + 7", "v": 13}, "premises": {"v": 13}, "target": "m"}, "answer": {"steps": [["l", "d + 6", "d + 21"], ["d", "f + 13", "f + 34"], ["f", "k + 4", "k + 38"], ["k", "t + 7", "t + 45"], ["t", "v + 2", "v + 47"], ["v", 13, "60"]], "target_var_name": "m", "target_value": 60, "value_dict": {"v": 13}, "is_reverse": true}} | 18,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = b + 7; d = f + 13; k = t + 7; b = o + 18; o = j + 9; f = k + 4; v = 13; l = d + 6; q = v + 20; m = l + 15; t = v + 2; g = q + 7; j = g + 4. Given that v = 13, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = d + 6 to m, which gives m = d + 21.\n2. Substitute d = f + 13 to m, which gives m = f + 34.\n3. Substitute f = k + 4 to m, which gives m = k + 38.\n4. Substitute k = t + 7 to m, which gives m = t + 45.\n5. Substitute t = v + 2 to m, which gives m = v + 47.\n6. Substitute v = 13 to m, which gives m = 60.\n\nThus, the final answer is m = \\boxed{60}.",
"index": 18968,
"question": "Suppose a collection of variables is related by the following definitions: r = b + 7; d = f + 13; k = t + 7; b = o + 18; o = j + 9; f = k + 4; v = 13; l = d + 6; q = v + 20; m = l + 15; t = v + 2; g = q + 7; j = g + 4. Given that v = 13, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 7", "t": "z + 11", "l": "t + 4", "c": "l + 6", "f": "c + 17", "m": "f + 9", "j": "e + 16", "n": "j + 14", "q": "n + 15", "x": "q + 1", "a": "x + 9", "u": "a + 9", "e": 2}, "premises": {"e": 2}, "target": "m"}, "answer": {"steps": [["f", "c + 17", "c + 26"], ["c", "l + 6", "l + 32"], ["l", "t + 4", "t + 36"], ["t", "z + 11", "z + 47"], ["z", "e + 7", "e + 54"], ["e", 2, "56"]], "target_var_name": "m", "target_value": 56, "value_dict": {"e": 2}, "is_reverse": true}} | 18,969 | 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 = z + 11; u = a + 9; f = c + 17; m = f + 9; j = e + 16; q = n + 15; a = x + 9; x = q + 1; e = 2; z = e + 7; c = l + 6; n = j + 14; l = t + 4. If e = 2, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = c + 17 to m, which gives m = c + 26.\n2. Substitute c = l + 6 to m, which gives m = l + 32.\n3. Substitute l = t + 4 to m, which gives m = t + 36.\n4. Substitute t = z + 11 to m, which gives m = z + 47.\n5. Substitute z = e + 7 to m, which gives m = e + 54.\n6. Substitute e = 2 to m, which gives m = 56.\n\nThus, the final answer is m = \\boxed{56}.",
"index": 18969,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = z + 11; u = a + 9; f = c + 17; m = f + 9; j = e + 16; q = n + 15; a = x + 9; x = q + 1; e = 2; z = e + 7; c = l + 6; n = j + 14; l = t + 4. If e = 2, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 9", "k": "w + 3", "e": "k + 7", "v": "e + 15", "r": "v + 1", "c": "r + 13", "i": "n + 11", "s": "i + 9", "b": "s + 5", "g": "b + 1", "d": "g + 14", "p": "d + 13", "n": 4}, "premises": {"n": 4}, "target": "c"}, "answer": {"steps": [["r", "v + 1", "v + 14"], ["v", "e + 15", "e + 29"], ["e", "k + 7", "k + 36"], ["k", "w + 3", "w + 39"], ["w", "n + 9", "n + 48"], ["n", 4, "52"]], "target_var_name": "c", "target_value": 52, "value_dict": {"n": 4}, "is_reverse": true}} | 18,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = b + 1; e = k + 7; c = r + 13; i = n + 11; b = s + 5; d = g + 14; s = i + 9; w = n + 9; p = d + 13; k = w + 3; v = e + 15; n = 4; r = v + 1. Given that n = 4, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 1 to c, which gives c = v + 14.\n2. Substitute v = e + 15 to c, which gives c = e + 29.\n3. Substitute e = k + 7 to c, which gives c = k + 36.\n4. Substitute k = w + 3 to c, which gives c = w + 39.\n5. Substitute w = n + 9 to c, which gives c = n + 48.\n6. Substitute n = 4 to c, which gives c = 52.\n\nThus, the final answer is c = \\boxed{52}.",
"index": 18970,
"question": "Suppose a collection of variables is related by the following definitions: g = b + 1; e = k + 7; c = r + 13; i = n + 11; b = s + 5; d = g + 14; s = i + 9; w = n + 9; p = d + 13; k = w + 3; v = e + 15; n = 4; r = v + 1. Given that n = 4, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"x": "g + 10", "d": "x + 6", "e": "d + 9", "o": "e + 19", "z": "o + 8", "t": "z + 18", "i": "g + 4", "y": "i + 7", "c": "y + 13", "w": "c + 12", "j": "w + 7", "b": "j + 9", "g": 10}, "premises": {"g": 10}, "target": "t"}, "answer": {"steps": [["z", "o + 8", "o + 26"], ["o", "e + 19", "e + 45"], ["e", "d + 9", "d + 54"], ["d", "x + 6", "x + 60"], ["x", "g + 10", "g + 70"], ["g", 10, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"g": 10}, "is_reverse": true}} | 18,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = x + 6; e = d + 9; x = g + 10; c = y + 13; j = w + 7; w = c + 12; z = o + 8; g = 10; t = z + 18; b = j + 9; i = g + 4; o = e + 19; y = i + 7. Given that g = 10, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = o + 8 to t, which gives t = o + 26.\n2. Substitute o = e + 19 to t, which gives t = e + 45.\n3. Substitute e = d + 9 to t, which gives t = d + 54.\n4. Substitute d = x + 6 to t, which gives t = x + 60.\n5. Substitute x = g + 10 to t, which gives t = g + 70.\n6. Substitute g = 10 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 18971,
"question": "Suppose a collection of variables is related by the following definitions: d = x + 6; e = d + 9; x = g + 10; c = y + 13; j = w + 7; w = c + 12; z = o + 8; g = 10; t = z + 18; b = j + 9; i = g + 4; o = e + 19; y = i + 7. Given that g = 10, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "x + 5", "o": "r + 15", "u": "o + 5", "y": "u + 2", "i": "y + 20", "f": "i + 8", "k": "x + 4", "e": "k + 17", "n": "e + 19", "s": "n + 1", "v": "s + 1", "h": "v + 10", "x": 18}, "premises": {"x": 18}, "target": "f"}, "answer": {"steps": [["i", "y + 20", "y + 28"], ["y", "u + 2", "u + 30"], ["u", "o + 5", "o + 35"], ["o", "r + 15", "r + 50"], ["r", "x + 5", "x + 55"], ["x", 18, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"x": 18}, "is_reverse": true}} | 18,972 | 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 = k + 17; y = u + 2; n = e + 19; r = x + 5; o = r + 15; v = s + 1; h = v + 10; u = o + 5; k = x + 4; x = 18; i = y + 20; s = n + 1; f = i + 8. If x = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 20 to f, which gives f = y + 28.\n2. Substitute y = u + 2 to f, which gives f = u + 30.\n3. Substitute u = o + 5 to f, which gives f = o + 35.\n4. Substitute o = r + 15 to f, which gives f = r + 50.\n5. Substitute r = x + 5 to f, which gives f = x + 55.\n6. Substitute x = 18 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 18972,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = k + 17; y = u + 2; n = e + 19; r = x + 5; o = r + 15; v = s + 1; h = v + 10; u = o + 5; k = x + 4; x = 18; i = y + 20; s = n + 1; f = i + 8. If x = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"s": "p + 11", "v": "s + 9", "q": "v + 3", "d": "q + 11", "f": "d + 6", "a": "f + 19", "x": "p + 1", "i": "x + 19", "l": "i + 9", "u": "l + 11", "k": "u + 18", "r": "k + 9", "p": 17}, "premises": {"p": 17}, "target": "a"}, "answer": {"steps": [["f", "d + 6", "d + 25"], ["d", "q + 11", "q + 36"], ["q", "v + 3", "v + 39"], ["v", "s + 9", "s + 48"], ["s", "p + 11", "p + 59"], ["p", 17, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"p": 17}, "is_reverse": true}} | 18,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = s + 9; k = u + 18; p = 17; i = x + 19; l = i + 9; q = v + 3; x = p + 1; f = d + 6; a = f + 19; s = p + 11; r = k + 9; u = l + 11; d = q + 11. If p = 17, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = d + 6 to a, which gives a = d + 25.\n2. Substitute d = q + 11 to a, which gives a = q + 36.\n3. Substitute q = v + 3 to a, which gives a = v + 39.\n4. Substitute v = s + 9 to a, which gives a = s + 48.\n5. Substitute s = p + 11 to a, which gives a = p + 59.\n6. Substitute p = 17 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 18973,
"question": "Consider a system of variables where each variable is defined as follows: v = s + 9; k = u + 18; p = 17; i = x + 19; l = i + 9; q = v + 3; x = p + 1; f = d + 6; a = f + 19; s = p + 11; r = k + 9; u = l + 11; d = q + 11. If p = 17, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"v": "u + 4", "m": "v + 4", "e": "m + 11", "o": "e + 1", "r": "o + 14", "k": "r + 16", "f": "u + 13", "b": "f + 5", "z": "b + 7", "j": "z + 13", "a": "j + 12", "n": "a + 6", "u": 2}, "premises": {"u": 2}, "target": "k"}, "answer": {"steps": [["r", "o + 14", "o + 30"], ["o", "e + 1", "e + 31"], ["e", "m + 11", "m + 42"], ["m", "v + 4", "v + 46"], ["v", "u + 4", "u + 50"], ["u", 2, "52"]], "target_var_name": "k", "target_value": 52, "value_dict": {"u": 2}, "is_reverse": true}} | 18,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 14; f = u + 13; b = f + 5; e = m + 11; k = r + 16; v = u + 4; m = v + 4; n = a + 6; z = b + 7; a = j + 12; u = 2; j = z + 13; o = e + 1. If u = 2, what is the resulting value of k?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 14 to k, which gives k = o + 30.\n2. Substitute o = e + 1 to k, which gives k = e + 31.\n3. Substitute e = m + 11 to k, which gives k = m + 42.\n4. Substitute m = v + 4 to k, which gives k = v + 46.\n5. Substitute v = u + 4 to k, which gives k = u + 50.\n6. Substitute u = 2 to k, which gives k = 52.\n\nThus, the final answer is k = \\boxed{52}.",
"index": 18974,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = o + 14; f = u + 13; b = f + 5; e = m + 11; k = r + 16; v = u + 4; m = v + 4; n = a + 6; z = b + 7; a = j + 12; u = 2; j = z + 13; o = e + 1. If u = 2, what is the resulting value of k?",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 11", "p": "s + 15", "c": "p + 14", "m": "c + 14", "e": "m + 11", "x": "e + 12", "t": "v + 18", "w": "t + 8", "i": "w + 5", "d": "i + 17", "j": "d + 2", "n": "j + 15", "v": 15}, "premises": {"v": 15}, "target": "x"}, "answer": {"steps": [["e", "m + 11", "m + 23"], ["m", "c + 14", "c + 37"], ["c", "p + 14", "p + 51"], ["p", "s + 15", "s + 66"], ["s", "v + 11", "v + 77"], ["v", 15, "92"]], "target_var_name": "x", "target_value": 92, "value_dict": {"v": 15}, "is_reverse": true}} | 18,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = t + 8; m = c + 14; s = v + 11; t = v + 18; i = w + 5; e = m + 11; d = i + 17; j = d + 2; x = e + 12; p = s + 15; n = j + 15; v = 15; c = p + 14. If v = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = m + 11 to x, which gives x = m + 23.\n2. Substitute m = c + 14 to x, which gives x = c + 37.\n3. Substitute c = p + 14 to x, which gives x = p + 51.\n4. Substitute p = s + 15 to x, which gives x = s + 66.\n5. Substitute s = v + 11 to x, which gives x = v + 77.\n6. Substitute v = 15 to x, which gives x = 92.\n\nThus, the final answer is x = \\boxed{92}.",
"index": 18975,
"question": "Consider a system of variables where each variable is defined as follows: w = t + 8; m = c + 14; s = v + 11; t = v + 18; i = w + 5; e = m + 11; d = i + 17; j = d + 2; x = e + 12; p = s + 15; n = j + 15; v = 15; c = p + 14. If v = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"r": "t + 10", "n": "r + 2", "g": "n + 5", "f": "g + 8", "e": "f + 1", "p": "e + 5", "s": "t + 6", "h": "s + 20", "c": "h + 7", "z": "c + 15", "y": "z + 20", "k": "y + 20", "t": 20}, "premises": {"t": 20}, "target": "p"}, "answer": {"steps": [["e", "f + 1", "f + 6"], ["f", "g + 8", "g + 14"], ["g", "n + 5", "n + 19"], ["n", "r + 2", "r + 21"], ["r", "t + 10", "t + 31"], ["t", 20, "51"]], "target_var_name": "p", "target_value": 51, "value_dict": {"t": 20}, "is_reverse": true}} | 18,976 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 15; f = g + 8; g = n + 5; c = h + 7; r = t + 10; h = s + 20; p = e + 5; n = r + 2; t = 20; k = y + 20; e = f + 1; s = t + 6; y = z + 20. If t = 20, what is the resulting value of p?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 1 to p, which gives p = f + 6.\n2. Substitute f = g + 8 to p, which gives p = g + 14.\n3. Substitute g = n + 5 to p, which gives p = n + 19.\n4. Substitute n = r + 2 to p, which gives p = r + 21.\n5. Substitute r = t + 10 to p, which gives p = t + 31.\n6. Substitute t = 20 to p, which gives p = 51.\n\nThus, the final answer is p = \\boxed{51}.",
"index": 18976,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = c + 15; f = g + 8; g = n + 5; c = h + 7; r = t + 10; h = s + 20; p = e + 5; n = r + 2; t = 20; k = y + 20; e = f + 1; s = t + 6; y = z + 20. If t = 20, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"x": "e + 1", "j": "x + 5", "d": "j + 11", "q": "d + 14", "b": "q + 17", "a": "b + 9", "k": "e + 20", "v": "k + 14", "o": "v + 7", "y": "o + 16", "m": "y + 15", "s": "m + 15", "e": 7}, "premises": {"e": 7}, "target": "a"}, "answer": {"steps": [["b", "q + 17", "q + 26"], ["q", "d + 14", "d + 40"], ["d", "j + 11", "j + 51"], ["j", "x + 5", "x + 56"], ["x", "e + 1", "e + 57"], ["e", 7, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"e": 7}, "is_reverse": true}} | 18,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = q + 17; j = x + 5; a = b + 9; x = e + 1; q = d + 14; o = v + 7; d = j + 11; m = y + 15; v = k + 14; e = 7; k = e + 20; s = m + 15; y = o + 16. Given that e = 7, 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 b = q + 17 to a, which gives a = q + 26.\n2. Substitute q = d + 14 to a, which gives a = d + 40.\n3. Substitute d = j + 11 to a, which gives a = j + 51.\n4. Substitute j = x + 5 to a, which gives a = x + 56.\n5. Substitute x = e + 1 to a, which gives a = e + 57.\n6. Substitute e = 7 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 18977,
"question": "Suppose a collection of variables is related by the following definitions: b = q + 17; j = x + 5; a = b + 9; x = e + 1; q = d + 14; o = v + 7; d = j + 11; m = y + 15; v = k + 14; e = 7; k = e + 20; s = m + 15; y = o + 16. Given that e = 7, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "a + 1", "r": "y + 15", "b": "r + 9", "c": "b + 18", "x": "c + 7", "s": "x + 10", "w": "a + 6", "n": "w + 1", "z": "n + 12", "u": "z + 5", "p": "u + 5", "j": "p + 16", "a": 7}, "premises": {"a": 7}, "target": "s"}, "answer": {"steps": [["x", "c + 7", "c + 17"], ["c", "b + 18", "b + 35"], ["b", "r + 9", "r + 44"], ["r", "y + 15", "y + 59"], ["y", "a + 1", "a + 60"], ["a", 7, "67"]], "target_var_name": "s", "target_value": 67, "value_dict": {"a": 7}, "is_reverse": true}} | 18,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 10; y = a + 1; n = w + 1; j = p + 16; u = z + 5; a = 7; r = y + 15; b = r + 9; c = b + 18; z = n + 12; x = c + 7; w = a + 6; p = u + 5. Given that a = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 7 to s, which gives s = c + 17.\n2. Substitute c = b + 18 to s, which gives s = b + 35.\n3. Substitute b = r + 9 to s, which gives s = r + 44.\n4. Substitute r = y + 15 to s, which gives s = y + 59.\n5. Substitute y = a + 1 to s, which gives s = a + 60.\n6. Substitute a = 7 to s, which gives s = 67.\n\nThus, the final answer is s = \\boxed{67}.",
"index": 18978,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 10; y = a + 1; n = w + 1; j = p + 16; u = z + 5; a = 7; r = y + 15; b = r + 9; c = b + 18; z = n + 12; x = c + 7; w = a + 6; p = u + 5. Given that a = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 8", "x": "u + 8", "e": "x + 6", "z": "e + 7", "v": "z + 5", "d": "v + 5", "w": "s + 3", "m": "w + 17", "g": "m + 16", "n": "g + 6", "y": "n + 2", "f": "y + 11", "s": 7}, "premises": {"s": 7}, "target": "d"}, "answer": {"steps": [["v", "z + 5", "z + 10"], ["z", "e + 7", "e + 17"], ["e", "x + 6", "x + 23"], ["x", "u + 8", "u + 31"], ["u", "s + 8", "s + 39"], ["s", 7, "46"]], "target_var_name": "d", "target_value": 46, "value_dict": {"s": 7}, "is_reverse": true}} | 18,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = v + 5; m = w + 17; w = s + 3; u = s + 8; n = g + 6; g = m + 16; s = 7; y = n + 2; e = x + 6; v = z + 5; f = y + 11; z = e + 7; x = u + 8. If s = 7, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = z + 5 to d, which gives d = z + 10.\n2. Substitute z = e + 7 to d, which gives d = e + 17.\n3. Substitute e = x + 6 to d, which gives d = x + 23.\n4. Substitute x = u + 8 to d, which gives d = u + 31.\n5. Substitute u = s + 8 to d, which gives d = s + 39.\n6. Substitute s = 7 to d, which gives d = 46.\n\nThus, the final answer is d = \\boxed{46}.",
"index": 18979,
"question": "Consider a system of variables where each variable is defined as follows: d = v + 5; m = w + 17; w = s + 3; u = s + 8; n = g + 6; g = m + 16; s = 7; y = n + 2; e = x + 6; v = z + 5; f = y + 11; z = e + 7; x = u + 8. If s = 7, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 6", "l": "f + 18", "p": "l + 8", "e": "p + 14", "z": "e + 16", "q": "z + 15", "j": "b + 7", "s": "j + 12", "g": "s + 18", "r": "g + 15", "m": "r + 1", "c": "m + 14", "b": 15}, "premises": {"b": 15}, "target": "q"}, "answer": {"steps": [["z", "e + 16", "e + 31"], ["e", "p + 14", "p + 45"], ["p", "l + 8", "l + 53"], ["l", "f + 18", "f + 71"], ["f", "b + 6", "b + 77"], ["b", 15, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"b": 15}, "is_reverse": true}} | 18,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 14; z = e + 16; p = l + 8; s = j + 12; q = z + 15; r = g + 15; b = 15; m = r + 1; j = b + 7; g = s + 18; l = f + 18; f = b + 6; c = m + 14. If b = 15, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 16 to q, which gives q = e + 31.\n2. Substitute e = p + 14 to q, which gives q = p + 45.\n3. Substitute p = l + 8 to q, which gives q = l + 53.\n4. Substitute l = f + 18 to q, which gives q = f + 71.\n5. Substitute f = b + 6 to q, which gives q = b + 77.\n6. Substitute b = 15 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 18980,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = p + 14; z = e + 16; p = l + 8; s = j + 12; q = z + 15; r = g + 15; b = 15; m = r + 1; j = b + 7; g = s + 18; l = f + 18; f = b + 6; c = m + 14. If b = 15, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 8", "g": "e + 12", "z": "g + 3", "s": "z + 16", "y": "s + 4", "k": "y + 16", "a": "t + 6", "n": "a + 16", "i": "n + 18", "f": "i + 17", "c": "f + 3", "w": "c + 17", "t": 3}, "premises": {"t": 3}, "target": "k"}, "answer": {"steps": [["y", "s + 4", "s + 20"], ["s", "z + 16", "z + 36"], ["z", "g + 3", "g + 39"], ["g", "e + 12", "e + 51"], ["e", "t + 8", "t + 59"], ["t", 3, "62"]], "target_var_name": "k", "target_value": 62, "value_dict": {"t": 3}, "is_reverse": true}} | 18,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = g + 3; t = 3; c = f + 3; a = t + 6; y = s + 4; g = e + 12; e = t + 8; f = i + 17; s = z + 16; i = n + 18; k = y + 16; n = a + 16; w = c + 17. If t = 3, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 4 to k, which gives k = s + 20.\n2. Substitute s = z + 16 to k, which gives k = z + 36.\n3. Substitute z = g + 3 to k, which gives k = g + 39.\n4. Substitute g = e + 12 to k, which gives k = e + 51.\n5. Substitute e = t + 8 to k, which gives k = t + 59.\n6. Substitute t = 3 to k, which gives k = 62.\n\nThus, the final answer is k = \\boxed{62}.",
"index": 18981,
"question": "Consider a system of variables where each variable is defined as follows: z = g + 3; t = 3; c = f + 3; a = t + 6; y = s + 4; g = e + 12; e = t + 8; f = i + 17; s = z + 16; i = n + 18; k = y + 16; n = a + 16; w = c + 17. If t = 3, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 18", "p": "d + 17", "k": "p + 4", "f": "k + 7", "b": "f + 15", "j": "b + 15", "n": "o + 7", "u": "n + 20", "q": "u + 5", "l": "q + 14", "m": "l + 3", "g": "m + 16", "o": 3}, "premises": {"o": 3}, "target": "j"}, "answer": {"steps": [["b", "f + 15", "f + 30"], ["f", "k + 7", "k + 37"], ["k", "p + 4", "p + 41"], ["p", "d + 17", "d + 58"], ["d", "o + 18", "o + 76"], ["o", 3, "79"]], "target_var_name": "j", "target_value": 79, "value_dict": {"o": 3}, "is_reverse": true}} | 18,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = u + 5; m = l + 3; n = o + 7; j = b + 15; b = f + 15; o = 3; f = k + 7; g = m + 16; p = d + 17; u = n + 20; l = q + 14; k = p + 4; d = o + 18. If o = 3, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 15 to j, which gives j = f + 30.\n2. Substitute f = k + 7 to j, which gives j = k + 37.\n3. Substitute k = p + 4 to j, which gives j = p + 41.\n4. Substitute p = d + 17 to j, which gives j = d + 58.\n5. Substitute d = o + 18 to j, which gives j = o + 76.\n6. Substitute o = 3 to j, which gives j = 79.\n\nThus, the final answer is j = \\boxed{79}.",
"index": 18982,
"question": "Consider a system of variables where each variable is defined as follows: q = u + 5; m = l + 3; n = o + 7; j = b + 15; b = f + 15; o = 3; f = k + 7; g = m + 16; p = d + 17; u = n + 20; l = q + 14; k = p + 4; d = o + 18. If o = 3, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"t": "k + 18", "n": "t + 10", "q": "n + 11", "e": "q + 15", "r": "e + 11", "u": "r + 14", "o": "k + 15", "f": "o + 14", "w": "f + 14", "s": "w + 4", "d": "s + 1", "b": "d + 11", "k": 10}, "premises": {"k": 10}, "target": "u"}, "answer": {"steps": [["r", "e + 11", "e + 25"], ["e", "q + 15", "q + 40"], ["q", "n + 11", "n + 51"], ["n", "t + 10", "t + 61"], ["t", "k + 18", "k + 79"], ["k", 10, "89"]], "target_var_name": "u", "target_value": 89, "value_dict": {"k": 10}, "is_reverse": true}} | 18,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = 10; e = q + 15; t = k + 18; s = w + 4; u = r + 14; d = s + 1; o = k + 15; b = d + 11; r = e + 11; n = t + 10; q = n + 11; f = o + 14; w = f + 14. If k = 10, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = e + 11 to u, which gives u = e + 25.\n2. Substitute e = q + 15 to u, which gives u = q + 40.\n3. Substitute q = n + 11 to u, which gives u = n + 51.\n4. Substitute n = t + 10 to u, which gives u = t + 61.\n5. Substitute t = k + 18 to u, which gives u = k + 79.\n6. Substitute k = 10 to u, which gives u = 89.\n\nThus, the final answer is u = \\boxed{89}.",
"index": 18983,
"question": "Consider a system of variables where each variable is defined as follows: k = 10; e = q + 15; t = k + 18; s = w + 4; u = r + 14; d = s + 1; o = k + 15; b = d + 11; r = e + 11; n = t + 10; q = n + 11; f = o + 14; w = f + 14. If k = 10, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"d": "r + 7", "x": "d + 6", "m": "x + 6", "s": "m + 18", "e": "s + 4", "u": "e + 6", "j": "r + 16", "c": "j + 13", "g": "c + 8", "o": "g + 12", "y": "o + 9", "k": "y + 18", "r": 7}, "premises": {"r": 7}, "target": "u"}, "answer": {"steps": [["e", "s + 4", "s + 10"], ["s", "m + 18", "m + 28"], ["m", "x + 6", "x + 34"], ["x", "d + 6", "d + 40"], ["d", "r + 7", "r + 47"], ["r", 7, "54"]], "target_var_name": "u", "target_value": 54, "value_dict": {"r": 7}, "is_reverse": true}} | 18,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = s + 4; k = y + 18; y = o + 9; x = d + 6; o = g + 12; d = r + 7; m = x + 6; u = e + 6; s = m + 18; g = c + 8; c = j + 13; r = 7; j = r + 16. Given that r = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = s + 4 to u, which gives u = s + 10.\n2. Substitute s = m + 18 to u, which gives u = m + 28.\n3. Substitute m = x + 6 to u, which gives u = x + 34.\n4. Substitute x = d + 6 to u, which gives u = d + 40.\n5. Substitute d = r + 7 to u, which gives u = r + 47.\n6. Substitute r = 7 to u, which gives u = 54.\n\nThus, the final answer is u = \\boxed{54}.",
"index": 18984,
"question": "Suppose a collection of variables is related by the following definitions: e = s + 4; k = y + 18; y = o + 9; x = d + 6; o = g + 12; d = r + 7; m = x + 6; u = e + 6; s = m + 18; g = c + 8; c = j + 13; r = 7; j = r + 16. Given that r = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"r": "n + 10", "x": "r + 8", "i": "x + 9", "d": "i + 6", "m": "d + 15", "g": "m + 1", "k": "n + 14", "o": "k + 14", "f": "o + 15", "b": "f + 7", "p": "b + 5", "t": "p + 18", "n": 11}, "premises": {"n": 11}, "target": "g"}, "answer": {"steps": [["m", "d + 15", "d + 16"], ["d", "i + 6", "i + 22"], ["i", "x + 9", "x + 31"], ["x", "r + 8", "r + 39"], ["r", "n + 10", "n + 49"], ["n", 11, "60"]], "target_var_name": "g", "target_value": 60, "value_dict": {"n": 11}, "is_reverse": true}} | 18,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 14; p = b + 5; r = n + 10; m = d + 15; d = i + 6; g = m + 1; x = r + 8; n = 11; t = p + 18; i = x + 9; k = n + 14; b = f + 7; f = o + 15. If n = 11, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = d + 15 to g, which gives g = d + 16.\n2. Substitute d = i + 6 to g, which gives g = i + 22.\n3. Substitute i = x + 9 to g, which gives g = x + 31.\n4. Substitute x = r + 8 to g, which gives g = r + 39.\n5. Substitute r = n + 10 to g, which gives g = n + 49.\n6. Substitute n = 11 to g, which gives g = 60.\n\nThus, the final answer is g = \\boxed{60}.",
"index": 18985,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = k + 14; p = b + 5; r = n + 10; m = d + 15; d = i + 6; g = m + 1; x = r + 8; n = 11; t = p + 18; i = x + 9; k = n + 14; b = f + 7; f = o + 15. If n = 11, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 8", "o": "w + 5", "r": "o + 10", "x": "r + 18", "k": "x + 11", "i": "k + 20", "j": "m + 17", "s": "j + 15", "g": "s + 7", "e": "g + 7", "v": "e + 19", "l": "v + 19", "m": 14}, "premises": {"m": 14}, "target": "i"}, "answer": {"steps": [["k", "x + 11", "x + 31"], ["x", "r + 18", "r + 49"], ["r", "o + 10", "o + 59"], ["o", "w + 5", "w + 64"], ["w", "m + 8", "m + 72"], ["m", 14, "86"]], "target_var_name": "i", "target_value": 86, "value_dict": {"m": 14}, "is_reverse": true}} | 18,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = g + 7; s = j + 15; w = m + 8; j = m + 17; g = s + 7; x = r + 18; v = e + 19; o = w + 5; r = o + 10; m = 14; i = k + 20; l = v + 19; k = x + 11. If m = 14, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 11 to i, which gives i = x + 31.\n2. Substitute x = r + 18 to i, which gives i = r + 49.\n3. Substitute r = o + 10 to i, which gives i = o + 59.\n4. Substitute o = w + 5 to i, which gives i = w + 64.\n5. Substitute w = m + 8 to i, which gives i = m + 72.\n6. Substitute m = 14 to i, which gives i = 86.\n\nThus, the final answer is i = \\boxed{86}.",
"index": 18986,
"question": "Consider a system of variables where each variable is defined as follows: e = g + 7; s = j + 15; w = m + 8; j = m + 17; g = s + 7; x = r + 18; v = e + 19; o = w + 5; r = o + 10; m = 14; i = k + 20; l = v + 19; k = x + 11. If m = 14, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 16", "y": "k + 2", "o": "y + 4", "n": "o + 2", "z": "n + 9", "x": "z + 7", "s": "j + 4", "r": "s + 4", "e": "r + 6", "l": "e + 2", "a": "l + 20", "h": "a + 8", "j": 18}, "premises": {"j": 18}, "target": "x"}, "answer": {"steps": [["z", "n + 9", "n + 16"], ["n", "o + 2", "o + 18"], ["o", "y + 4", "y + 22"], ["y", "k + 2", "k + 24"], ["k", "j + 16", "j + 40"], ["j", 18, "58"]], "target_var_name": "x", "target_value": 58, "value_dict": {"j": 18}, "is_reverse": true}} | 18,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 16; o = y + 4; y = k + 2; a = l + 20; n = o + 2; h = a + 8; r = s + 4; z = n + 9; x = z + 7; e = r + 6; l = e + 2; s = j + 4; j = 18. If j = 18, 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 = n + 9 to x, which gives x = n + 16.\n2. Substitute n = o + 2 to x, which gives x = o + 18.\n3. Substitute o = y + 4 to x, which gives x = y + 22.\n4. Substitute y = k + 2 to x, which gives x = k + 24.\n5. Substitute k = j + 16 to x, which gives x = j + 40.\n6. Substitute j = 18 to x, which gives x = 58.\n\nThus, the final answer is x = \\boxed{58}.",
"index": 18987,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 16; o = y + 4; y = k + 2; a = l + 20; n = o + 2; h = a + 8; r = s + 4; z = n + 9; x = z + 7; e = r + 6; l = e + 2; s = j + 4; j = 18. If j = 18, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "k + 19", "h": "m + 11", "w": "h + 9", "l": "w + 12", "e": "l + 2", "z": "e + 12", "q": "k + 1", "s": "q + 14", "x": "s + 13", "i": "x + 1", "y": "i + 13", "o": "y + 10", "k": 19}, "premises": {"k": 19}, "target": "z"}, "answer": {"steps": [["e", "l + 2", "l + 14"], ["l", "w + 12", "w + 26"], ["w", "h + 9", "h + 35"], ["h", "m + 11", "m + 46"], ["m", "k + 19", "k + 65"], ["k", 19, "84"]], "target_var_name": "z", "target_value": 84, "value_dict": {"k": 19}, "is_reverse": true}} | 18,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = k + 19; k = 19; q = k + 1; e = l + 2; w = h + 9; y = i + 13; l = w + 12; s = q + 14; z = e + 12; o = y + 10; x = s + 13; i = x + 1; h = m + 11. Given that k = 19, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = l + 2 to z, which gives z = l + 14.\n2. Substitute l = w + 12 to z, which gives z = w + 26.\n3. Substitute w = h + 9 to z, which gives z = h + 35.\n4. Substitute h = m + 11 to z, which gives z = m + 46.\n5. Substitute m = k + 19 to z, which gives z = k + 65.\n6. Substitute k = 19 to z, which gives z = 84.\n\nThus, the final answer is z = \\boxed{84}.",
"index": 18988,
"question": "Suppose a collection of variables is related by the following definitions: m = k + 19; k = 19; q = k + 1; e = l + 2; w = h + 9; y = i + 13; l = w + 12; s = q + 14; z = e + 12; o = y + 10; x = s + 13; i = x + 1; h = m + 11. Given that k = 19, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 14", "j": "t + 2", "d": "j + 12", "u": "d + 5", "e": "u + 1", "b": "e + 18", "a": "c + 11", "w": "a + 14", "x": "w + 19", "s": "x + 14", "g": "s + 1", "y": "g + 15", "c": 1}, "premises": {"c": 1}, "target": "b"}, "answer": {"steps": [["e", "u + 1", "u + 19"], ["u", "d + 5", "d + 24"], ["d", "j + 12", "j + 36"], ["j", "t + 2", "t + 38"], ["t", "c + 14", "c + 52"], ["c", 1, "53"]], "target_var_name": "b", "target_value": 53, "value_dict": {"c": 1}, "is_reverse": true}} | 18,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = j + 12; e = u + 1; j = t + 2; t = c + 14; w = a + 14; b = e + 18; y = g + 15; u = d + 5; s = x + 14; c = 1; a = c + 11; x = w + 19; g = s + 1. Given that c = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = u + 1 to b, which gives b = u + 19.\n2. Substitute u = d + 5 to b, which gives b = d + 24.\n3. Substitute d = j + 12 to b, which gives b = j + 36.\n4. Substitute j = t + 2 to b, which gives b = t + 38.\n5. Substitute t = c + 14 to b, which gives b = c + 52.\n6. Substitute c = 1 to b, which gives b = 53.\n\nThus, the final answer is b = \\boxed{53}.",
"index": 18989,
"question": "Suppose a collection of variables is related by the following definitions: d = j + 12; e = u + 1; j = t + 2; t = c + 14; w = a + 14; b = e + 18; y = g + 15; u = d + 5; s = x + 14; c = 1; a = c + 11; x = w + 19; g = s + 1. Given that c = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 4", "m": "a + 7", "h": "m + 8", "l": "h + 4", "z": "l + 19", "d": "z + 18", "v": "i + 3", "r": "v + 19", "u": "r + 8", "s": "u + 18", "j": "s + 3", "g": "j + 20", "i": 20}, "premises": {"i": 20}, "target": "d"}, "answer": {"steps": [["z", "l + 19", "l + 37"], ["l", "h + 4", "h + 41"], ["h", "m + 8", "m + 49"], ["m", "a + 7", "a + 56"], ["a", "i + 4", "i + 60"], ["i", 20, "80"]], "target_var_name": "d", "target_value": 80, "value_dict": {"i": 20}, "is_reverse": true}} | 18,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = l + 19; m = a + 7; a = i + 4; s = u + 18; g = j + 20; l = h + 4; v = i + 3; r = v + 19; j = s + 3; h = m + 8; i = 20; d = z + 18; u = r + 8. If i = 20, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = l + 19 to d, which gives d = l + 37.\n2. Substitute l = h + 4 to d, which gives d = h + 41.\n3. Substitute h = m + 8 to d, which gives d = m + 49.\n4. Substitute m = a + 7 to d, which gives d = a + 56.\n5. Substitute a = i + 4 to d, which gives d = i + 60.\n6. Substitute i = 20 to d, which gives d = 80.\n\nThus, the final answer is d = \\boxed{80}.",
"index": 18990,
"question": "Consider a system of variables where each variable is defined as follows: z = l + 19; m = a + 7; a = i + 4; s = u + 18; g = j + 20; l = h + 4; v = i + 3; r = v + 19; j = s + 3; h = m + 8; i = 20; d = z + 18; u = r + 8. If i = 20, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"g": "y + 16", "h": "g + 18", "m": "h + 5", "w": "m + 14", "v": "w + 18", "b": "v + 9", "k": "y + 5", "p": "k + 14", "s": "p + 9", "f": "s + 9", "j": "f + 10", "d": "j + 2", "y": 18}, "premises": {"y": 18}, "target": "b"}, "answer": {"steps": [["v", "w + 18", "w + 27"], ["w", "m + 14", "m + 41"], ["m", "h + 5", "h + 46"], ["h", "g + 18", "g + 64"], ["g", "y + 16", "y + 80"], ["y", 18, "98"]], "target_var_name": "b", "target_value": 98, "value_dict": {"y": 18}, "is_reverse": true}} | 18,991 | 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 = h + 5; k = y + 5; f = s + 9; p = k + 14; b = v + 9; y = 18; w = m + 14; j = f + 10; g = y + 16; s = p + 9; h = g + 18; v = w + 18; d = j + 2. If y = 18, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 18 to b, which gives b = w + 27.\n2. Substitute w = m + 14 to b, which gives b = m + 41.\n3. Substitute m = h + 5 to b, which gives b = h + 46.\n4. Substitute h = g + 18 to b, which gives b = g + 64.\n5. Substitute g = y + 16 to b, which gives b = y + 80.\n6. Substitute y = 18 to b, which gives b = 98.\n\nThus, the final answer is b = \\boxed{98}.",
"index": 18991,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = h + 5; k = y + 5; f = s + 9; p = k + 14; b = v + 9; y = 18; w = m + 14; j = f + 10; g = y + 16; s = p + 9; h = g + 18; v = w + 18; d = j + 2. If y = 18, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 2", "p": "r + 11", "w": "p + 4", "k": "w + 2", "h": "k + 3", "x": "h + 1", "a": "u + 8", "y": "a + 9", "m": "y + 4", "f": "m + 2", "q": "f + 14", "n": "q + 2", "u": 5}, "premises": {"u": 5}, "target": "x"}, "answer": {"steps": [["h", "k + 3", "k + 4"], ["k", "w + 2", "w + 6"], ["w", "p + 4", "p + 10"], ["p", "r + 11", "r + 21"], ["r", "u + 2", "u + 23"], ["u", 5, "28"]], "target_var_name": "x", "target_value": 28, "value_dict": {"u": 5}, "is_reverse": true}} | 18,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 2; h = k + 3; w = p + 4; k = w + 2; m = y + 4; n = q + 2; y = a + 9; q = f + 14; a = u + 8; u = 5; r = u + 2; x = h + 1; p = r + 11. Given that u = 5, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 28,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = k + 3 to x, which gives x = k + 4.\n2. Substitute k = w + 2 to x, which gives x = w + 6.\n3. Substitute w = p + 4 to x, which gives x = p + 10.\n4. Substitute p = r + 11 to x, which gives x = r + 21.\n5. Substitute r = u + 2 to x, which gives x = u + 23.\n6. Substitute u = 5 to x, which gives x = 28.\n\nThus, the final answer is x = \\boxed{28}.",
"index": 18992,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 2; h = k + 3; w = p + 4; k = w + 2; m = y + 4; n = q + 2; y = a + 9; q = f + 14; a = u + 8; u = 5; r = u + 2; x = h + 1; p = r + 11. Given that u = 5, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 4", "b": "e + 10", "n": "b + 8", "y": "n + 18", "h": "y + 17", "w": "h + 13", "j": "a + 11", "m": "j + 12", "g": "m + 11", "s": "g + 7", "x": "s + 16", "f": "x + 14", "a": 12}, "premises": {"a": 12}, "target": "w"}, "answer": {"steps": [["h", "y + 17", "y + 30"], ["y", "n + 18", "n + 48"], ["n", "b + 8", "b + 56"], ["b", "e + 10", "e + 66"], ["e", "a + 4", "a + 70"], ["a", 12, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"a": 12}, "is_reverse": true}} | 18,993 | 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 + 8; b = e + 10; h = y + 17; e = a + 4; a = 12; g = m + 11; m = j + 12; y = n + 18; x = s + 16; w = h + 13; s = g + 7; j = a + 11; f = x + 14. If a = 12, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = y + 17 to w, which gives w = y + 30.\n2. Substitute y = n + 18 to w, which gives w = n + 48.\n3. Substitute n = b + 8 to w, which gives w = b + 56.\n4. Substitute b = e + 10 to w, which gives w = e + 66.\n5. Substitute e = a + 4 to w, which gives w = a + 70.\n6. Substitute a = 12 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 18993,
"question": "Consider a system of variables where each variable is defined as follows: n = b + 8; b = e + 10; h = y + 17; e = a + 4; a = 12; g = m + 11; m = j + 12; y = n + 18; x = s + 16; w = h + 13; s = g + 7; j = a + 11; f = x + 14. If a = 12, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 5", "o": "p + 6", "z": "o + 17", "d": "z + 4", "b": "d + 1", "n": "b + 10", "u": "s + 3", "r": "u + 20", "j": "r + 17", "e": "j + 13", "l": "e + 3", "a": "l + 5", "s": 6}, "premises": {"s": 6}, "target": "n"}, "answer": {"steps": [["b", "d + 1", "d + 11"], ["d", "z + 4", "z + 15"], ["z", "o + 17", "o + 32"], ["o", "p + 6", "p + 38"], ["p", "s + 5", "s + 43"], ["s", 6, "49"]], "target_var_name": "n", "target_value": 49, "value_dict": {"s": 6}, "is_reverse": true}} | 18,994 | 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 = p + 6; a = l + 5; u = s + 3; z = o + 17; d = z + 4; r = u + 20; j = r + 17; s = 6; n = b + 10; l = e + 3; p = s + 5; b = d + 1; e = j + 13. If s = 6, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = d + 1 to n, which gives n = d + 11.\n2. Substitute d = z + 4 to n, which gives n = z + 15.\n3. Substitute z = o + 17 to n, which gives n = o + 32.\n4. Substitute o = p + 6 to n, which gives n = p + 38.\n5. Substitute p = s + 5 to n, which gives n = s + 43.\n6. Substitute s = 6 to n, which gives n = 49.\n\nThus, the final answer is n = \\boxed{49}.",
"index": 18994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = p + 6; a = l + 5; u = s + 3; z = o + 17; d = z + 4; r = u + 20; j = r + 17; s = 6; n = b + 10; l = e + 3; p = s + 5; b = d + 1; e = j + 13. If s = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 5", "r": "e + 8", "p": "r + 19", "w": "p + 4", "j": "w + 3", "s": "j + 15", "m": "q + 15", "c": "m + 14", "d": "c + 1", "v": "d + 16", "f": "v + 18", "y": "f + 17", "q": 5}, "premises": {"q": 5}, "target": "s"}, "answer": {"steps": [["j", "w + 3", "w + 18"], ["w", "p + 4", "p + 22"], ["p", "r + 19", "r + 41"], ["r", "e + 8", "e + 49"], ["e", "q + 5", "q + 54"], ["q", 5, "59"]], "target_var_name": "s", "target_value": 59, "value_dict": {"q": 5}, "is_reverse": true}} | 18,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = p + 4; m = q + 15; p = r + 19; d = c + 1; c = m + 14; q = 5; y = f + 17; s = j + 15; f = v + 18; e = q + 5; r = e + 8; v = d + 16; j = w + 3. If q = 5, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 3 to s, which gives s = w + 18.\n2. Substitute w = p + 4 to s, which gives s = p + 22.\n3. Substitute p = r + 19 to s, which gives s = r + 41.\n4. Substitute r = e + 8 to s, which gives s = e + 49.\n5. Substitute e = q + 5 to s, which gives s = q + 54.\n6. Substitute q = 5 to s, which gives s = 59.\n\nThus, the final answer is s = \\boxed{59}.",
"index": 18995,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 4; m = q + 15; p = r + 19; d = c + 1; c = m + 14; q = 5; y = f + 17; s = j + 15; f = v + 18; e = q + 5; r = e + 8; v = d + 16; j = w + 3. If q = 5, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"a": "t + 16", "g": "a + 18", "w": "g + 8", "r": "w + 2", "c": "r + 4", "u": "c + 15", "h": "t + 4", "x": "h + 16", "i": "x + 17", "b": "i + 8", "l": "b + 19", "j": "l + 19", "t": 18}, "premises": {"t": 18}, "target": "u"}, "answer": {"steps": [["c", "r + 4", "r + 19"], ["r", "w + 2", "w + 21"], ["w", "g + 8", "g + 29"], ["g", "a + 18", "a + 47"], ["a", "t + 16", "t + 63"], ["t", 18, "81"]], "target_var_name": "u", "target_value": 81, "value_dict": {"t": 18}, "is_reverse": true}} | 18,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 4; j = l + 19; r = w + 2; g = a + 18; a = t + 16; t = 18; x = h + 16; w = g + 8; u = c + 15; l = b + 19; b = i + 8; i = x + 17; c = r + 4. If t = 18, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 4 to u, which gives u = r + 19.\n2. Substitute r = w + 2 to u, which gives u = w + 21.\n3. Substitute w = g + 8 to u, which gives u = g + 29.\n4. Substitute g = a + 18 to u, which gives u = a + 47.\n5. Substitute a = t + 16 to u, which gives u = t + 63.\n6. Substitute t = 18 to u, which gives u = 81.\n\nThus, the final answer is u = \\boxed{81}.",
"index": 18996,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = t + 4; j = l + 19; r = w + 2; g = a + 18; a = t + 16; t = 18; x = h + 16; w = g + 8; u = c + 15; l = b + 19; b = i + 8; i = x + 17; c = r + 4. If t = 18, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"y": "j + 20", "b": "y + 11", "s": "b + 14", "d": "s + 3", "t": "d + 9", "i": "t + 5", "h": "j + 6", "c": "h + 9", "u": "c + 3", "f": "u + 19", "a": "f + 20", "l": "a + 18", "j": 1}, "premises": {"j": 1}, "target": "i"}, "answer": {"steps": [["t", "d + 9", "d + 14"], ["d", "s + 3", "s + 17"], ["s", "b + 14", "b + 31"], ["b", "y + 11", "y + 42"], ["y", "j + 20", "j + 62"], ["j", 1, "63"]], "target_var_name": "i", "target_value": 63, "value_dict": {"j": 1}, "is_reverse": true}} | 18,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = y + 11; d = s + 3; t = d + 9; c = h + 9; s = b + 14; u = c + 3; f = u + 19; h = j + 6; a = f + 20; l = a + 18; i = t + 5; y = j + 20; j = 1. Given that j = 1, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = d + 9 to i, which gives i = d + 14.\n2. Substitute d = s + 3 to i, which gives i = s + 17.\n3. Substitute s = b + 14 to i, which gives i = b + 31.\n4. Substitute b = y + 11 to i, which gives i = y + 42.\n5. Substitute y = j + 20 to i, which gives i = j + 62.\n6. Substitute j = 1 to i, which gives i = 63.\n\nThus, the final answer is i = \\boxed{63}.",
"index": 18997,
"question": "Suppose a collection of variables is related by the following definitions: b = y + 11; d = s + 3; t = d + 9; c = h + 9; s = b + 14; u = c + 3; f = u + 19; h = j + 6; a = f + 20; l = a + 18; i = t + 5; y = j + 20; j = 1. Given that j = 1, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 17", "e": "y + 17", "r": "e + 18", "o": "r + 8", "h": "o + 3", "l": "h + 17", "a": "n + 13", "m": "a + 3", "p": "m + 17", "x": "p + 11", "w": "x + 11", "d": "w + 7", "n": 19}, "premises": {"n": 19}, "target": "l"}, "answer": {"steps": [["h", "o + 3", "o + 20"], ["o", "r + 8", "r + 28"], ["r", "e + 18", "e + 46"], ["e", "y + 17", "y + 63"], ["y", "n + 17", "n + 80"], ["n", 19, "99"]], "target_var_name": "l", "target_value": 99, "value_dict": {"n": 19}, "is_reverse": true}} | 18,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 3; x = p + 11; l = h + 17; y = n + 17; o = r + 8; e = y + 17; r = e + 18; a = n + 13; n = 19; m = a + 3; w = x + 11; d = w + 7; p = m + 17. If n = 19, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 3 to l, which gives l = o + 20.\n2. Substitute o = r + 8 to l, which gives l = r + 28.\n3. Substitute r = e + 18 to l, which gives l = e + 46.\n4. Substitute e = y + 17 to l, which gives l = y + 63.\n5. Substitute y = n + 17 to l, which gives l = n + 80.\n6. Substitute n = 19 to l, which gives l = 99.\n\nThus, the final answer is l = \\boxed{99}.",
"index": 18998,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = o + 3; x = p + 11; l = h + 17; y = n + 17; o = r + 8; e = y + 17; r = e + 18; a = n + 13; n = 19; m = a + 3; w = x + 11; d = w + 7; p = m + 17. If n = 19, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"w": "a + 9", "s": "w + 9", "e": "s + 1", "v": "e + 1", "p": "v + 11", "b": "p + 2", "l": "a + 19", "i": "l + 1", "j": "i + 8", "f": "j + 19", "g": "f + 9", "z": "g + 9", "a": 11}, "premises": {"a": 11}, "target": "b"}, "answer": {"steps": [["p", "v + 11", "v + 13"], ["v", "e + 1", "e + 14"], ["e", "s + 1", "s + 15"], ["s", "w + 9", "w + 24"], ["w", "a + 9", "a + 33"], ["a", 11, "44"]], "target_var_name": "b", "target_value": 44, "value_dict": {"a": 11}, "is_reverse": true}} | 18,999 | 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 = 11; s = w + 9; j = i + 8; b = p + 2; l = a + 19; g = f + 9; f = j + 19; v = e + 1; w = a + 9; p = v + 11; i = l + 1; e = s + 1; z = g + 9. If a = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 11 to b, which gives b = v + 13.\n2. Substitute v = e + 1 to b, which gives b = e + 14.\n3. Substitute e = s + 1 to b, which gives b = s + 15.\n4. Substitute s = w + 9 to b, which gives b = w + 24.\n5. Substitute w = a + 9 to b, which gives b = a + 33.\n6. Substitute a = 11 to b, which gives b = 44.\n\nThus, the final answer is b = \\boxed{44}.",
"index": 18999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = 11; s = w + 9; j = i + 8; b = p + 2; l = a + 19; g = f + 9; f = j + 19; v = e + 1; w = a + 9; p = v + 11; i = l + 1; e = s + 1; z = g + 9. If a = 11, what is the resulting value of b?",
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.