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": {"s": "r + 20", "o": "s + 17", "x": "o + 20", "v": "x + 4", "q": "v + 15", "z": "q + 3", "k": "r + 1", "l": "k + 13", "y": "l + 10", "n": "y + 15", "w": "n + 2", "e": "w + 8", "r": 3}, "premises": {"r": 3}, "target": "z"}, "answer": {"steps": [["q", "v + 15", "v + 18"], ["v", "x + 4", "x + 22"], ["x", "o + 20", "o + 42"], ["o", "s + 17", "s + 59"], ["s", "r + 20", "r + 79"], ["r", 3, "82"]], "target_var_name": "z", "target_value": 82, "value_dict": {"r": 3}, "is_reverse": true}} | 6,900 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 10; v = x + 4; r = 3; k = r + 1; o = s + 17; w = n + 2; x = o + 20; z = q + 3; l = k + 13; s = r + 20; e = w + 8; n = y + 15; q = v + 15. If r = 3, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 15 to z, which gives z = v + 18.\n2. Substitute v = x + 4 to z, which gives z = x + 22.\n3. Substitute x = o + 20 to z, which gives z = o + 42.\n4. Substitute o = s + 17 to z, which gives z = s + 59.\n5. Substitute s = r + 20 to z, which gives z = r + 79.\n6. Substitute r = 3 to z, which gives z = 82.\n\nThus, the final answer is z = \\boxed{82}.",
"index": 6900,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 10; v = x + 4; r = 3; k = r + 1; o = s + 17; w = n + 2; x = o + 20; z = q + 3; l = k + 13; s = r + 20; e = w + 8; n = y + 15; q = v + 15. If r = 3, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"m": "a + 11", "f": "m + 5", "w": "f + 4", "l": "w + 19", "k": "l + 18", "b": "k + 14", "n": "a + 12", "h": "n + 4", "i": "h + 8", "j": "i + 15", "v": "j + 14", "x": "v + 18", "a": 14}, "premises": {"a": 14}, "target": "b"}, "answer": {"steps": [["k", "l + 18", "l + 32"], ["l", "w + 19", "w + 51"], ["w", "f + 4", "f + 55"], ["f", "m + 5", "m + 60"], ["m", "a + 11", "a + 71"], ["a", 14, "85"]], "target_var_name": "b", "target_value": 85, "value_dict": {"a": 14}, "is_reverse": true}} | 6,901 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = n + 4; i = h + 8; n = a + 12; x = v + 18; v = j + 14; a = 14; b = k + 14; k = l + 18; w = f + 4; m = a + 11; l = w + 19; j = i + 15; f = m + 5. If a = 14, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = l + 18 to b, which gives b = l + 32.\n2. Substitute l = w + 19 to b, which gives b = w + 51.\n3. Substitute w = f + 4 to b, which gives b = f + 55.\n4. Substitute f = m + 5 to b, which gives b = m + 60.\n5. Substitute m = a + 11 to b, which gives b = a + 71.\n6. Substitute a = 14 to b, which gives b = 85.\n\nThus, the final answer is b = \\boxed{85}.",
"index": 6901,
"question": "Consider a system of variables where each variable is defined as follows: h = n + 4; i = h + 8; n = a + 12; x = v + 18; v = j + 14; a = 14; b = k + 14; k = l + 18; w = f + 4; m = a + 11; l = w + 19; j = i + 15; f = m + 5. If a = 14, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"z": "l + 2", "m": "z + 4", "c": "m + 10", "g": "c + 10", "t": "g + 13", "b": "t + 6", "v": "l + 20", "d": "v + 1", "h": "d + 16", "i": "h + 1", "n": "i + 15", "y": "n + 3", "l": 12}, "premises": {"l": 12}, "target": "b"}, "answer": {"steps": [["t", "g + 13", "g + 19"], ["g", "c + 10", "c + 29"], ["c", "m + 10", "m + 39"], ["m", "z + 4", "z + 43"], ["z", "l + 2", "l + 45"], ["l", 12, "57"]], "target_var_name": "b", "target_value": 57, "value_dict": {"l": 12}, "is_reverse": true}} | 6,902 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = h + 1; c = m + 10; b = t + 6; g = c + 10; v = l + 20; y = n + 3; n = i + 15; h = d + 16; t = g + 13; d = v + 1; z = l + 2; l = 12; m = z + 4. If l = 12, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 13 to b, which gives b = g + 19.\n2. Substitute g = c + 10 to b, which gives b = c + 29.\n3. Substitute c = m + 10 to b, which gives b = m + 39.\n4. Substitute m = z + 4 to b, which gives b = z + 43.\n5. Substitute z = l + 2 to b, which gives b = l + 45.\n6. Substitute l = 12 to b, which gives b = 57.\n\nThus, the final answer is b = \\boxed{57}.",
"index": 6902,
"question": "Consider a system of variables where each variable is defined as follows: i = h + 1; c = m + 10; b = t + 6; g = c + 10; v = l + 20; y = n + 3; n = i + 15; h = d + 16; t = g + 13; d = v + 1; z = l + 2; l = 12; m = z + 4. If l = 12, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"y": "k + 1", "w": "y + 3", "z": "w + 7", "f": "z + 5", "o": "f + 17", "j": "o + 8", "a": "k + 2", "i": "a + 14", "u": "i + 13", "q": "u + 16", "d": "q + 19", "h": "d + 17", "k": 5}, "premises": {"k": 5}, "target": "j"}, "answer": {"steps": [["o", "f + 17", "f + 25"], ["f", "z + 5", "z + 30"], ["z", "w + 7", "w + 37"], ["w", "y + 3", "y + 40"], ["y", "k + 1", "k + 41"], ["k", 5, "46"]], "target_var_name": "j", "target_value": 46, "value_dict": {"k": 5}, "is_reverse": true}} | 6,903 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = i + 13; k = 5; f = z + 5; w = y + 3; y = k + 1; a = k + 2; o = f + 17; z = w + 7; h = d + 17; j = o + 8; i = a + 14; q = u + 16; d = q + 19. Given that k = 5, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 17 to j, which gives j = f + 25.\n2. Substitute f = z + 5 to j, which gives j = z + 30.\n3. Substitute z = w + 7 to j, which gives j = w + 37.\n4. Substitute w = y + 3 to j, which gives j = y + 40.\n5. Substitute y = k + 1 to j, which gives j = k + 41.\n6. Substitute k = 5 to j, which gives j = 46.\n\nThus, the final answer is j = \\boxed{46}.",
"index": 6903,
"question": "Suppose a collection of variables is related by the following definitions: u = i + 13; k = 5; f = z + 5; w = y + 3; y = k + 1; a = k + 2; o = f + 17; z = w + 7; h = d + 17; j = o + 8; i = a + 14; q = u + 16; d = q + 19. Given that k = 5, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"z": "d + 10", "n": "z + 19", "b": "n + 8", "y": "b + 19", "x": "y + 2", "g": "x + 15", "p": "d + 17", "t": "p + 8", "c": "t + 12", "m": "c + 14", "w": "m + 2", "v": "w + 8", "d": 15}, "premises": {"d": 15}, "target": "g"}, "answer": {"steps": [["x", "y + 2", "y + 17"], ["y", "b + 19", "b + 36"], ["b", "n + 8", "n + 44"], ["n", "z + 19", "z + 63"], ["z", "d + 10", "d + 73"], ["d", 15, "88"]], "target_var_name": "g", "target_value": 88, "value_dict": {"d": 15}, "is_reverse": true}} | 6,904 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = b + 19; d = 15; c = t + 12; w = m + 2; g = x + 15; m = c + 14; t = p + 8; v = w + 8; p = d + 17; b = n + 8; z = d + 10; x = y + 2; n = z + 19. If d = 15, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = y + 2 to g, which gives g = y + 17.\n2. Substitute y = b + 19 to g, which gives g = b + 36.\n3. Substitute b = n + 8 to g, which gives g = n + 44.\n4. Substitute n = z + 19 to g, which gives g = z + 63.\n5. Substitute z = d + 10 to g, which gives g = d + 73.\n6. Substitute d = 15 to g, which gives g = 88.\n\nThus, the final answer is g = \\boxed{88}.",
"index": 6904,
"question": "Consider a system of variables where each variable is defined as follows: y = b + 19; d = 15; c = t + 12; w = m + 2; g = x + 15; m = c + 14; t = p + 8; v = w + 8; p = d + 17; b = n + 8; z = d + 10; x = y + 2; n = z + 19. If d = 15, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"k": "o + 16", "u": "k + 10", "t": "u + 5", "v": "t + 12", "j": "v + 5", "x": "j + 16", "d": "o + 4", "z": "d + 9", "r": "z + 15", "m": "r + 9", "s": "m + 16", "c": "s + 19", "o": 1}, "premises": {"o": 1}, "target": "x"}, "answer": {"steps": [["j", "v + 5", "v + 21"], ["v", "t + 12", "t + 33"], ["t", "u + 5", "u + 38"], ["u", "k + 10", "k + 48"], ["k", "o + 16", "o + 64"], ["o", 1, "65"]], "target_var_name": "x", "target_value": 65, "value_dict": {"o": 1}, "is_reverse": true}} | 6,905 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 4; c = s + 19; m = r + 9; j = v + 5; r = z + 15; z = d + 9; u = k + 10; k = o + 16; x = j + 16; s = m + 16; t = u + 5; v = t + 12; o = 1. If o = 1, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 5 to x, which gives x = v + 21.\n2. Substitute v = t + 12 to x, which gives x = t + 33.\n3. Substitute t = u + 5 to x, which gives x = u + 38.\n4. Substitute u = k + 10 to x, which gives x = k + 48.\n5. Substitute k = o + 16 to x, which gives x = o + 64.\n6. Substitute o = 1 to x, which gives x = 65.\n\nThus, the final answer is x = \\boxed{65}.",
"index": 6905,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = o + 4; c = s + 19; m = r + 9; j = v + 5; r = z + 15; z = d + 9; u = k + 10; k = o + 16; x = j + 16; s = m + 16; t = u + 5; v = t + 12; o = 1. If o = 1, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"w": "i + 6", "g": "w + 3", "l": "g + 10", "y": "l + 12", "x": "y + 1", "a": "x + 17", "e": "i + 20", "k": "e + 13", "h": "k + 4", "v": "h + 4", "p": "v + 18", "z": "p + 19", "i": 15}, "premises": {"i": 15}, "target": "a"}, "answer": {"steps": [["x", "y + 1", "y + 18"], ["y", "l + 12", "l + 30"], ["l", "g + 10", "g + 40"], ["g", "w + 3", "w + 43"], ["w", "i + 6", "i + 49"], ["i", 15, "64"]], "target_var_name": "a", "target_value": 64, "value_dict": {"i": 15}, "is_reverse": true}} | 6,906 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 18; l = g + 10; h = k + 4; k = e + 13; a = x + 17; y = l + 12; z = p + 19; x = y + 1; v = h + 4; i = 15; w = i + 6; e = i + 20; g = w + 3. If i = 15, determine 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 x = y + 1 to a, which gives a = y + 18.\n2. Substitute y = l + 12 to a, which gives a = l + 30.\n3. Substitute l = g + 10 to a, which gives a = g + 40.\n4. Substitute g = w + 3 to a, which gives a = w + 43.\n5. Substitute w = i + 6 to a, which gives a = i + 49.\n6. Substitute i = 15 to a, which gives a = 64.\n\nThus, the final answer is a = \\boxed{64}.",
"index": 6906,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 18; l = g + 10; h = k + 4; k = e + 13; a = x + 17; y = l + 12; z = p + 19; x = y + 1; v = h + 4; i = 15; w = i + 6; e = i + 20; g = w + 3. If i = 15, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 5", "y": "t + 1", "u": "y + 6", "l": "u + 18", "r": "l + 2", "e": "r + 8", "n": "m + 6", "d": "n + 8", "k": "d + 15", "w": "k + 11", "p": "w + 20", "j": "p + 20", "m": 1}, "premises": {"m": 1}, "target": "e"}, "answer": {"steps": [["r", "l + 2", "l + 10"], ["l", "u + 18", "u + 28"], ["u", "y + 6", "y + 34"], ["y", "t + 1", "t + 35"], ["t", "m + 5", "m + 40"], ["m", 1, "41"]], "target_var_name": "e", "target_value": 41, "value_dict": {"m": 1}, "is_reverse": true}} | 6,907 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = k + 11; e = r + 8; u = y + 6; n = m + 6; r = l + 2; y = t + 1; d = n + 8; t = m + 5; p = w + 20; l = u + 18; j = p + 20; k = d + 15; m = 1. If m = 1, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = l + 2 to e, which gives e = l + 10.\n2. Substitute l = u + 18 to e, which gives e = u + 28.\n3. Substitute u = y + 6 to e, which gives e = y + 34.\n4. Substitute y = t + 1 to e, which gives e = t + 35.\n5. Substitute t = m + 5 to e, which gives e = m + 40.\n6. Substitute m = 1 to e, which gives e = 41.\n\nThus, the final answer is e = \\boxed{41}.",
"index": 6907,
"question": "Consider a system of variables where each variable is defined as follows: w = k + 11; e = r + 8; u = y + 6; n = m + 6; r = l + 2; y = t + 1; d = n + 8; t = m + 5; p = w + 20; l = u + 18; j = p + 20; k = d + 15; m = 1. If m = 1, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"q": "e + 6", "c": "q + 8", "r": "c + 2", "z": "r + 19", "w": "z + 19", "a": "w + 15", "b": "e + 7", "s": "b + 8", "i": "s + 19", "p": "i + 13", "m": "p + 14", "h": "m + 15", "e": 17}, "premises": {"e": 17}, "target": "a"}, "answer": {"steps": [["w", "z + 19", "z + 34"], ["z", "r + 19", "r + 53"], ["r", "c + 2", "c + 55"], ["c", "q + 8", "q + 63"], ["q", "e + 6", "e + 69"], ["e", 17, "86"]], "target_var_name": "a", "target_value": 86, "value_dict": {"e": 17}, "is_reverse": true}} | 6,908 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = p + 14; b = e + 7; r = c + 2; e = 17; w = z + 19; z = r + 19; s = b + 8; p = i + 13; c = q + 8; q = e + 6; h = m + 15; i = s + 19; a = w + 15. Given that e = 17, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = z + 19 to a, which gives a = z + 34.\n2. Substitute z = r + 19 to a, which gives a = r + 53.\n3. Substitute r = c + 2 to a, which gives a = c + 55.\n4. Substitute c = q + 8 to a, which gives a = q + 63.\n5. Substitute q = e + 6 to a, which gives a = e + 69.\n6. Substitute e = 17 to a, which gives a = 86.\n\nThus, the final answer is a = \\boxed{86}.",
"index": 6908,
"question": "Suppose a collection of variables is related by the following definitions: m = p + 14; b = e + 7; r = c + 2; e = 17; w = z + 19; z = r + 19; s = b + 8; p = i + 13; c = q + 8; q = e + 6; h = m + 15; i = s + 19; a = w + 15. Given that e = 17, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "l + 2", "v": "i + 4", "p": "v + 15", "m": "p + 9", "y": "m + 1", "r": "y + 16", "b": "l + 5", "n": "b + 10", "o": "n + 4", "s": "o + 12", "j": "s + 11", "w": "j + 3", "l": 13}, "premises": {"l": 13}, "target": "r"}, "answer": {"steps": [["y", "m + 1", "m + 17"], ["m", "p + 9", "p + 26"], ["p", "v + 15", "v + 41"], ["v", "i + 4", "i + 45"], ["i", "l + 2", "l + 47"], ["l", 13, "60"]], "target_var_name": "r", "target_value": 60, "value_dict": {"l": 13}, "is_reverse": true}} | 6,909 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = v + 15; v = i + 4; m = p + 9; w = j + 3; n = b + 10; l = 13; o = n + 4; y = m + 1; s = o + 12; r = y + 16; i = l + 2; j = s + 11; b = l + 5. Given that l = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = m + 1 to r, which gives r = m + 17.\n2. Substitute m = p + 9 to r, which gives r = p + 26.\n3. Substitute p = v + 15 to r, which gives r = v + 41.\n4. Substitute v = i + 4 to r, which gives r = i + 45.\n5. Substitute i = l + 2 to r, which gives r = l + 47.\n6. Substitute l = 13 to r, which gives r = 60.\n\nThus, the final answer is r = \\boxed{60}.",
"index": 6909,
"question": "Suppose a collection of variables is related by the following definitions: p = v + 15; v = i + 4; m = p + 9; w = j + 3; n = b + 10; l = 13; o = n + 4; y = m + 1; s = o + 12; r = y + 16; i = l + 2; j = s + 11; b = l + 5. Given that l = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 18", "a": "h + 16", "f": "a + 2", "b": "f + 6", "j": "b + 9", "n": "j + 13", "u": "y + 12", "q": "u + 18", "s": "q + 14", "w": "s + 4", "m": "w + 16", "d": "m + 2", "y": 9}, "premises": {"y": 9}, "target": "n"}, "answer": {"steps": [["j", "b + 9", "b + 22"], ["b", "f + 6", "f + 28"], ["f", "a + 2", "a + 30"], ["a", "h + 16", "h + 46"], ["h", "y + 18", "y + 64"], ["y", 9, "73"]], "target_var_name": "n", "target_value": 73, "value_dict": {"y": 9}, "is_reverse": true}} | 6,910 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = 9; u = y + 12; h = y + 18; q = u + 18; f = a + 2; m = w + 16; d = m + 2; w = s + 4; n = j + 13; b = f + 6; a = h + 16; s = q + 14; j = b + 9. Given that y = 9, find the 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 j = b + 9 to n, which gives n = b + 22.\n2. Substitute b = f + 6 to n, which gives n = f + 28.\n3. Substitute f = a + 2 to n, which gives n = a + 30.\n4. Substitute a = h + 16 to n, which gives n = h + 46.\n5. Substitute h = y + 18 to n, which gives n = y + 64.\n6. Substitute y = 9 to n, which gives n = 73.\n\nThus, the final answer is n = \\boxed{73}.",
"index": 6910,
"question": "Suppose a collection of variables is related by the following definitions: y = 9; u = y + 12; h = y + 18; q = u + 18; f = a + 2; m = w + 16; d = m + 2; w = s + 4; n = j + 13; b = f + 6; a = h + 16; s = q + 14; j = b + 9. Given that y = 9, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 11", "m": "b + 17", "x": "m + 8", "v": "x + 13", "o": "v + 6", "e": "o + 16", "s": "i + 5", "c": "s + 6", "a": "c + 20", "f": "a + 20", "u": "f + 16", "d": "u + 4", "i": 5}, "premises": {"i": 5}, "target": "e"}, "answer": {"steps": [["o", "v + 6", "v + 22"], ["v", "x + 13", "x + 35"], ["x", "m + 8", "m + 43"], ["m", "b + 17", "b + 60"], ["b", "i + 11", "i + 71"], ["i", 5, "76"]], "target_var_name": "e", "target_value": 76, "value_dict": {"i": 5}, "is_reverse": true}} | 6,911 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = 5; e = o + 16; d = u + 4; x = m + 8; v = x + 13; b = i + 11; o = v + 6; f = a + 20; a = c + 20; s = i + 5; c = s + 6; u = f + 16; m = b + 17. If i = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = v + 6 to e, which gives e = v + 22.\n2. Substitute v = x + 13 to e, which gives e = x + 35.\n3. Substitute x = m + 8 to e, which gives e = m + 43.\n4. Substitute m = b + 17 to e, which gives e = b + 60.\n5. Substitute b = i + 11 to e, which gives e = i + 71.\n6. Substitute i = 5 to e, which gives e = 76.\n\nThus, the final answer is e = \\boxed{76}.",
"index": 6911,
"question": "Consider a system of variables where each variable is defined as follows: i = 5; e = o + 16; d = u + 4; x = m + 8; v = x + 13; b = i + 11; o = v + 6; f = a + 20; a = c + 20; s = i + 5; c = s + 6; u = f + 16; m = b + 17. If i = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"r": "b + 6", "g": "r + 7", "l": "g + 1", "m": "l + 12", "u": "m + 4", "w": "u + 15", "y": "b + 15", "q": "y + 1", "p": "q + 16", "v": "p + 18", "e": "v + 2", "z": "e + 4", "b": 2}, "premises": {"b": 2}, "target": "w"}, "answer": {"steps": [["u", "m + 4", "m + 19"], ["m", "l + 12", "l + 31"], ["l", "g + 1", "g + 32"], ["g", "r + 7", "r + 39"], ["r", "b + 6", "b + 45"], ["b", 2, "47"]], "target_var_name": "w", "target_value": 47, "value_dict": {"b": 2}, "is_reverse": true}} | 6,912 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = y + 1; g = r + 7; p = q + 16; w = u + 15; b = 2; l = g + 1; z = e + 4; r = b + 6; v = p + 18; u = m + 4; e = v + 2; y = b + 15; m = l + 12. If b = 2, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = m + 4 to w, which gives w = m + 19.\n2. Substitute m = l + 12 to w, which gives w = l + 31.\n3. Substitute l = g + 1 to w, which gives w = g + 32.\n4. Substitute g = r + 7 to w, which gives w = r + 39.\n5. Substitute r = b + 6 to w, which gives w = b + 45.\n6. Substitute b = 2 to w, which gives w = 47.\n\nThus, the final answer is w = \\boxed{47}.",
"index": 6912,
"question": "Consider a system of variables where each variable is defined as follows: q = y + 1; g = r + 7; p = q + 16; w = u + 15; b = 2; l = g + 1; z = e + 4; r = b + 6; v = p + 18; u = m + 4; e = v + 2; y = b + 15; m = l + 12. If b = 2, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"n": "g + 14", "t": "n + 9", "b": "t + 4", "y": "b + 2", "u": "y + 11", "m": "u + 8", "i": "g + 15", "p": "i + 13", "f": "p + 4", "w": "f + 7", "s": "w + 3", "v": "s + 9", "g": 16}, "premises": {"g": 16}, "target": "m"}, "answer": {"steps": [["u", "y + 11", "y + 19"], ["y", "b + 2", "b + 21"], ["b", "t + 4", "t + 25"], ["t", "n + 9", "n + 34"], ["n", "g + 14", "g + 48"], ["g", 16, "64"]], "target_var_name": "m", "target_value": 64, "value_dict": {"g": 16}, "is_reverse": true}} | 6,913 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = u + 8; p = i + 13; g = 16; t = n + 9; y = b + 2; b = t + 4; w = f + 7; f = p + 4; i = g + 15; v = s + 9; s = w + 3; n = g + 14; u = y + 11. Given that g = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = y + 11 to m, which gives m = y + 19.\n2. Substitute y = b + 2 to m, which gives m = b + 21.\n3. Substitute b = t + 4 to m, which gives m = t + 25.\n4. Substitute t = n + 9 to m, which gives m = n + 34.\n5. Substitute n = g + 14 to m, which gives m = g + 48.\n6. Substitute g = 16 to m, which gives m = 64.\n\nThus, the final answer is m = \\boxed{64}.",
"index": 6913,
"question": "Suppose a collection of variables is related by the following definitions: m = u + 8; p = i + 13; g = 16; t = n + 9; y = b + 2; b = t + 4; w = f + 7; f = p + 4; i = g + 15; v = s + 9; s = w + 3; n = g + 14; u = y + 11. Given that g = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 12", "m": "x + 17", "g": "m + 9", "i": "g + 6", "t": "i + 9", "z": "t + 16", "n": "o + 10", "b": "n + 20", "y": "b + 16", "u": "y + 3", "f": "u + 19", "v": "f + 7", "o": 12}, "premises": {"o": 12}, "target": "z"}, "answer": {"steps": [["t", "i + 9", "i + 25"], ["i", "g + 6", "g + 31"], ["g", "m + 9", "m + 40"], ["m", "x + 17", "x + 57"], ["x", "o + 12", "o + 69"], ["o", 12, "81"]], "target_var_name": "z", "target_value": 81, "value_dict": {"o": 12}, "is_reverse": true}} | 6,914 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = t + 16; b = n + 20; y = b + 16; n = o + 10; m = x + 17; o = 12; u = y + 3; v = f + 7; g = m + 9; i = g + 6; t = i + 9; f = u + 19; x = o + 12. Given that o = 12, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 9 to z, which gives z = i + 25.\n2. Substitute i = g + 6 to z, which gives z = g + 31.\n3. Substitute g = m + 9 to z, which gives z = m + 40.\n4. Substitute m = x + 17 to z, which gives z = x + 57.\n5. Substitute x = o + 12 to z, which gives z = o + 69.\n6. Substitute o = 12 to z, which gives z = 81.\n\nThus, the final answer is z = \\boxed{81}.",
"index": 6914,
"question": "Suppose a collection of variables is related by the following definitions: z = t + 16; b = n + 20; y = b + 16; n = o + 10; m = x + 17; o = 12; u = y + 3; v = f + 7; g = m + 9; i = g + 6; t = i + 9; f = u + 19; x = o + 12. Given that o = 12, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"d": "c + 19", "z": "d + 2", "e": "z + 3", "j": "e + 12", "n": "j + 3", "a": "n + 7", "m": "c + 8", "x": "m + 4", "v": "x + 6", "g": "v + 12", "t": "g + 6", "l": "t + 4", "c": 16}, "premises": {"c": 16}, "target": "a"}, "answer": {"steps": [["n", "j + 3", "j + 10"], ["j", "e + 12", "e + 22"], ["e", "z + 3", "z + 25"], ["z", "d + 2", "d + 27"], ["d", "c + 19", "c + 46"], ["c", 16, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"c": 16}, "is_reverse": true}} | 6,915 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 19; z = d + 2; c = 16; g = v + 12; m = c + 8; t = g + 6; l = t + 4; v = x + 6; x = m + 4; e = z + 3; n = j + 3; a = n + 7; j = e + 12. If c = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = j + 3 to a, which gives a = j + 10.\n2. Substitute j = e + 12 to a, which gives a = e + 22.\n3. Substitute e = z + 3 to a, which gives a = z + 25.\n4. Substitute z = d + 2 to a, which gives a = d + 27.\n5. Substitute d = c + 19 to a, which gives a = c + 46.\n6. Substitute c = 16 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 6915,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = c + 19; z = d + 2; c = 16; g = v + 12; m = c + 8; t = g + 6; l = t + 4; v = x + 6; x = m + 4; e = z + 3; n = j + 3; a = n + 7; j = e + 12. If c = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 10", "l": "s + 15", "b": "l + 3", "p": "b + 14", "m": "p + 5", "y": "m + 9", "v": "e + 16", "h": "v + 5", "j": "h + 3", "i": "j + 6", "r": "i + 2", "k": "r + 4", "e": 7}, "premises": {"e": 7}, "target": "y"}, "answer": {"steps": [["m", "p + 5", "p + 14"], ["p", "b + 14", "b + 28"], ["b", "l + 3", "l + 31"], ["l", "s + 15", "s + 46"], ["s", "e + 10", "e + 56"], ["e", 7, "63"]], "target_var_name": "y", "target_value": 63, "value_dict": {"e": 7}, "is_reverse": true}} | 6,916 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = r + 4; l = s + 15; h = v + 5; e = 7; b = l + 3; i = j + 6; v = e + 16; p = b + 14; s = e + 10; m = p + 5; j = h + 3; y = m + 9; r = i + 2. If e = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = p + 5 to y, which gives y = p + 14.\n2. Substitute p = b + 14 to y, which gives y = b + 28.\n3. Substitute b = l + 3 to y, which gives y = l + 31.\n4. Substitute l = s + 15 to y, which gives y = s + 46.\n5. Substitute s = e + 10 to y, which gives y = e + 56.\n6. Substitute e = 7 to y, which gives y = 63.\n\nThus, the final answer is y = \\boxed{63}.",
"index": 6916,
"question": "Consider a system of variables where each variable is defined as follows: k = r + 4; l = s + 15; h = v + 5; e = 7; b = l + 3; i = j + 6; v = e + 16; p = b + 14; s = e + 10; m = p + 5; j = h + 3; y = m + 9; r = i + 2. If e = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 1", "g": "e + 5", "a": "g + 6", "h": "a + 10", "r": "h + 1", "j": "r + 15", "y": "b + 17", "w": "y + 20", "p": "w + 2", "i": "p + 5", "u": "i + 17", "s": "u + 8", "b": 15}, "premises": {"b": 15}, "target": "j"}, "answer": {"steps": [["r", "h + 1", "h + 16"], ["h", "a + 10", "a + 26"], ["a", "g + 6", "g + 32"], ["g", "e + 5", "e + 37"], ["e", "b + 1", "b + 38"], ["b", 15, "53"]], "target_var_name": "j", "target_value": 53, "value_dict": {"b": 15}, "is_reverse": true}} | 6,917 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = e + 5; i = p + 5; a = g + 6; b = 15; u = i + 17; j = r + 15; h = a + 10; y = b + 17; r = h + 1; p = w + 2; w = y + 20; s = u + 8; e = b + 1. Given that b = 15, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 1 to j, which gives j = h + 16.\n2. Substitute h = a + 10 to j, which gives j = a + 26.\n3. Substitute a = g + 6 to j, which gives j = g + 32.\n4. Substitute g = e + 5 to j, which gives j = e + 37.\n5. Substitute e = b + 1 to j, which gives j = b + 38.\n6. Substitute b = 15 to j, which gives j = 53.\n\nThus, the final answer is j = \\boxed{53}.",
"index": 6917,
"question": "Suppose a collection of variables is related by the following definitions: g = e + 5; i = p + 5; a = g + 6; b = 15; u = i + 17; j = r + 15; h = a + 10; y = b + 17; r = h + 1; p = w + 2; w = y + 20; s = u + 8; e = b + 1. Given that b = 15, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 19", "e": "f + 12", "i": "e + 8", "w": "i + 9", "u": "w + 11", "h": "u + 5", "z": "x + 3", "q": "z + 14", "y": "q + 8", "k": "y + 20", "v": "k + 10", "a": "v + 8", "x": 10}, "premises": {"x": 10}, "target": "h"}, "answer": {"steps": [["u", "w + 11", "w + 16"], ["w", "i + 9", "i + 25"], ["i", "e + 8", "e + 33"], ["e", "f + 12", "f + 45"], ["f", "x + 19", "x + 64"], ["x", 10, "74"]], "target_var_name": "h", "target_value": 74, "value_dict": {"x": 10}, "is_reverse": true}} | 6,918 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = v + 8; i = e + 8; q = z + 14; k = y + 20; w = i + 9; u = w + 11; f = x + 19; v = k + 10; y = q + 8; z = x + 3; x = 10; e = f + 12; h = u + 5. Given that x = 10, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 11 to h, which gives h = w + 16.\n2. Substitute w = i + 9 to h, which gives h = i + 25.\n3. Substitute i = e + 8 to h, which gives h = e + 33.\n4. Substitute e = f + 12 to h, which gives h = f + 45.\n5. Substitute f = x + 19 to h, which gives h = x + 64.\n6. Substitute x = 10 to h, which gives h = 74.\n\nThus, the final answer is h = \\boxed{74}.",
"index": 6918,
"question": "Suppose a collection of variables is related by the following definitions: a = v + 8; i = e + 8; q = z + 14; k = y + 20; w = i + 9; u = w + 11; f = x + 19; v = k + 10; y = q + 8; z = x + 3; x = 10; e = f + 12; h = u + 5. Given that x = 10, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"s": "k + 9", "w": "s + 15", "g": "w + 15", "o": "g + 13", "i": "o + 5", "t": "i + 6", "z": "k + 4", "l": "z + 16", "a": "l + 18", "b": "a + 4", "p": "b + 4", "f": "p + 19", "k": 13}, "premises": {"k": 13}, "target": "t"}, "answer": {"steps": [["i", "o + 5", "o + 11"], ["o", "g + 13", "g + 24"], ["g", "w + 15", "w + 39"], ["w", "s + 15", "s + 54"], ["s", "k + 9", "k + 63"], ["k", 13, "76"]], "target_var_name": "t", "target_value": 76, "value_dict": {"k": 13}, "is_reverse": true}} | 6,919 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 16; b = a + 4; s = k + 9; i = o + 5; f = p + 19; w = s + 15; g = w + 15; p = b + 4; k = 13; o = g + 13; z = k + 4; t = i + 6; a = l + 18. If k = 13, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 5 to t, which gives t = o + 11.\n2. Substitute o = g + 13 to t, which gives t = g + 24.\n3. Substitute g = w + 15 to t, which gives t = w + 39.\n4. Substitute w = s + 15 to t, which gives t = s + 54.\n5. Substitute s = k + 9 to t, which gives t = k + 63.\n6. Substitute k = 13 to t, which gives t = 76.\n\nThus, the final answer is t = \\boxed{76}.",
"index": 6919,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 16; b = a + 4; s = k + 9; i = o + 5; f = p + 19; w = s + 15; g = w + 15; p = b + 4; k = 13; o = g + 13; z = k + 4; t = i + 6; a = l + 18. If k = 13, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 8", "v": "a + 17", "g": "v + 13", "t": "g + 13", "d": "t + 10", "i": "d + 20", "w": "m + 14", "l": "w + 8", "x": "l + 8", "h": "x + 5", "u": "h + 5", "r": "u + 18", "m": 16}, "premises": {"m": 16}, "target": "i"}, "answer": {"steps": [["d", "t + 10", "t + 30"], ["t", "g + 13", "g + 43"], ["g", "v + 13", "v + 56"], ["v", "a + 17", "a + 73"], ["a", "m + 8", "m + 81"], ["m", 16, "97"]], "target_var_name": "i", "target_value": 97, "value_dict": {"m": 16}, "is_reverse": true}} | 6,920 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = m + 8; l = w + 8; g = v + 13; v = a + 17; x = l + 8; m = 16; d = t + 10; t = g + 13; i = d + 20; u = h + 5; h = x + 5; r = u + 18; w = m + 14. If m = 16, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = t + 10 to i, which gives i = t + 30.\n2. Substitute t = g + 13 to i, which gives i = g + 43.\n3. Substitute g = v + 13 to i, which gives i = v + 56.\n4. Substitute v = a + 17 to i, which gives i = a + 73.\n5. Substitute a = m + 8 to i, which gives i = m + 81.\n6. Substitute m = 16 to i, which gives i = 97.\n\nThus, the final answer is i = \\boxed{97}.",
"index": 6920,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 8; l = w + 8; g = v + 13; v = a + 17; x = l + 8; m = 16; d = t + 10; t = g + 13; i = d + 20; u = h + 5; h = x + 5; r = u + 18; w = m + 14. If m = 16, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"i": "g + 18", "d": "i + 14", "r": "d + 18", "y": "r + 10", "s": "y + 10", "u": "s + 18", "k": "g + 9", "p": "k + 15", "f": "p + 15", "v": "f + 18", "n": "v + 1", "j": "n + 9", "g": 7}, "premises": {"g": 7}, "target": "u"}, "answer": {"steps": [["s", "y + 10", "y + 28"], ["y", "r + 10", "r + 38"], ["r", "d + 18", "d + 56"], ["d", "i + 14", "i + 70"], ["i", "g + 18", "g + 88"], ["g", 7, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"g": 7}, "is_reverse": true}} | 6,921 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = n + 9; n = v + 1; s = y + 10; g = 7; u = s + 18; p = k + 15; k = g + 9; i = g + 18; f = p + 15; r = d + 18; v = f + 18; d = i + 14; y = r + 10. Given that g = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = y + 10 to u, which gives u = y + 28.\n2. Substitute y = r + 10 to u, which gives u = r + 38.\n3. Substitute r = d + 18 to u, which gives u = d + 56.\n4. Substitute d = i + 14 to u, which gives u = i + 70.\n5. Substitute i = g + 18 to u, which gives u = g + 88.\n6. Substitute g = 7 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 6921,
"question": "Suppose a collection of variables is related by the following definitions: j = n + 9; n = v + 1; s = y + 10; g = 7; u = s + 18; p = k + 15; k = g + 9; i = g + 18; f = p + 15; r = d + 18; v = f + 18; d = i + 14; y = r + 10. Given that g = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 2", "c": "y + 14", "k": "c + 11", "h": "k + 15", "n": "h + 6", "f": "n + 7", "w": "q + 10", "r": "w + 1", "g": "r + 11", "p": "g + 1", "i": "p + 8", "a": "i + 18", "q": 8}, "premises": {"q": 8}, "target": "f"}, "answer": {"steps": [["n", "h + 6", "h + 13"], ["h", "k + 15", "k + 28"], ["k", "c + 11", "c + 39"], ["c", "y + 14", "y + 53"], ["y", "q + 2", "q + 55"], ["q", 8, "63"]], "target_var_name": "f", "target_value": 63, "value_dict": {"q": 8}, "is_reverse": true}} | 6,922 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 10; i = p + 8; a = i + 18; p = g + 1; r = w + 1; n = h + 6; g = r + 11; q = 8; f = n + 7; c = y + 14; y = q + 2; k = c + 11; h = k + 15. If q = 8, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = h + 6 to f, which gives f = h + 13.\n2. Substitute h = k + 15 to f, which gives f = k + 28.\n3. Substitute k = c + 11 to f, which gives f = c + 39.\n4. Substitute c = y + 14 to f, which gives f = y + 53.\n5. Substitute y = q + 2 to f, which gives f = q + 55.\n6. Substitute q = 8 to f, which gives f = 63.\n\nThus, the final answer is f = \\boxed{63}.",
"index": 6922,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = q + 10; i = p + 8; a = i + 18; p = g + 1; r = w + 1; n = h + 6; g = r + 11; q = 8; f = n + 7; c = y + 14; y = q + 2; k = c + 11; h = k + 15. If q = 8, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"r": "i + 5", "s": "r + 4", "m": "s + 1", "c": "m + 18", "e": "c + 5", "q": "e + 19", "x": "i + 1", "d": "x + 16", "w": "d + 14", "l": "w + 14", "o": "l + 3", "b": "o + 6", "i": 4}, "premises": {"i": 4}, "target": "q"}, "answer": {"steps": [["e", "c + 5", "c + 24"], ["c", "m + 18", "m + 42"], ["m", "s + 1", "s + 43"], ["s", "r + 4", "r + 47"], ["r", "i + 5", "i + 52"], ["i", 4, "56"]], "target_var_name": "q", "target_value": 56, "value_dict": {"i": 4}, "is_reverse": true}} | 6,923 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 4; d = x + 16; m = s + 1; l = w + 14; i = 4; o = l + 3; q = e + 19; x = i + 1; r = i + 5; c = m + 18; e = c + 5; w = d + 14; b = o + 6. Given that i = 4, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = c + 5 to q, which gives q = c + 24.\n2. Substitute c = m + 18 to q, which gives q = m + 42.\n3. Substitute m = s + 1 to q, which gives q = s + 43.\n4. Substitute s = r + 4 to q, which gives q = r + 47.\n5. Substitute r = i + 5 to q, which gives q = i + 52.\n6. Substitute i = 4 to q, which gives q = 56.\n\nThus, the final answer is q = \\boxed{56}.",
"index": 6923,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 4; d = x + 16; m = s + 1; l = w + 14; i = 4; o = l + 3; q = e + 19; x = i + 1; r = i + 5; c = m + 18; e = c + 5; w = d + 14; b = o + 6. Given that i = 4, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 20", "v": "r + 10", "f": "v + 12", "s": "f + 11", "d": "s + 8", "b": "d + 17", "o": "u + 10", "x": "o + 3", "q": "x + 12", "c": "q + 10", "w": "c + 5", "m": "w + 7", "u": 1}, "premises": {"u": 1}, "target": "b"}, "answer": {"steps": [["d", "s + 8", "s + 25"], ["s", "f + 11", "f + 36"], ["f", "v + 12", "v + 48"], ["v", "r + 10", "r + 58"], ["r", "u + 20", "u + 78"], ["u", 1, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"u": 1}, "is_reverse": true}} | 6,924 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = r + 10; f = v + 12; s = f + 11; u = 1; w = c + 5; r = u + 20; d = s + 8; o = u + 10; m = w + 7; c = q + 10; q = x + 12; b = d + 17; x = o + 3. Given that u = 1, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = s + 8 to b, which gives b = s + 25.\n2. Substitute s = f + 11 to b, which gives b = f + 36.\n3. Substitute f = v + 12 to b, which gives b = v + 48.\n4. Substitute v = r + 10 to b, which gives b = r + 58.\n5. Substitute r = u + 20 to b, which gives b = u + 78.\n6. Substitute u = 1 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 6924,
"question": "Suppose a collection of variables is related by the following definitions: v = r + 10; f = v + 12; s = f + 11; u = 1; w = c + 5; r = u + 20; d = s + 8; o = u + 10; m = w + 7; c = q + 10; q = x + 12; b = d + 17; x = o + 3. Given that u = 1, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 19", "u": "p + 8", "r": "u + 16", "f": "r + 8", "i": "f + 10", "n": "i + 9", "g": "a + 6", "t": "g + 4", "k": "t + 4", "y": "k + 19", "s": "y + 5", "v": "s + 16", "a": 5}, "premises": {"a": 5}, "target": "n"}, "answer": {"steps": [["i", "f + 10", "f + 19"], ["f", "r + 8", "r + 27"], ["r", "u + 16", "u + 43"], ["u", "p + 8", "p + 51"], ["p", "a + 19", "a + 70"], ["a", 5, "75"]], "target_var_name": "n", "target_value": 75, "value_dict": {"a": 5}, "is_reverse": true}} | 6,925 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 16; t = g + 4; p = a + 19; i = f + 10; u = p + 8; v = s + 16; f = r + 8; k = t + 4; n = i + 9; s = y + 5; a = 5; y = k + 19; g = a + 6. If a = 5, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 10 to n, which gives n = f + 19.\n2. Substitute f = r + 8 to n, which gives n = r + 27.\n3. Substitute r = u + 16 to n, which gives n = u + 43.\n4. Substitute u = p + 8 to n, which gives n = p + 51.\n5. Substitute p = a + 19 to n, which gives n = a + 70.\n6. Substitute a = 5 to n, which gives n = 75.\n\nThus, the final answer is n = \\boxed{75}.",
"index": 6925,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = u + 16; t = g + 4; p = a + 19; i = f + 10; u = p + 8; v = s + 16; f = r + 8; k = t + 4; n = i + 9; s = y + 5; a = 5; y = k + 19; g = a + 6. If a = 5, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 19", "i": "o + 3", "d": "i + 17", "u": "d + 4", "b": "u + 12", "g": "b + 6", "l": "v + 5", "q": "l + 3", "j": "q + 4", "n": "j + 20", "s": "n + 6", "z": "s + 5", "v": 18}, "premises": {"v": 18}, "target": "g"}, "answer": {"steps": [["b", "u + 12", "u + 18"], ["u", "d + 4", "d + 22"], ["d", "i + 17", "i + 39"], ["i", "o + 3", "o + 42"], ["o", "v + 19", "v + 61"], ["v", 18, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"v": 18}, "is_reverse": true}} | 6,926 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = b + 6; z = s + 5; q = l + 3; b = u + 12; d = i + 17; u = d + 4; n = j + 20; l = v + 5; o = v + 19; s = n + 6; j = q + 4; i = o + 3; v = 18. If v = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 12 to g, which gives g = u + 18.\n2. Substitute u = d + 4 to g, which gives g = d + 22.\n3. Substitute d = i + 17 to g, which gives g = i + 39.\n4. Substitute i = o + 3 to g, which gives g = o + 42.\n5. Substitute o = v + 19 to g, which gives g = v + 61.\n6. Substitute v = 18 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 6926,
"question": "Consider a system of variables where each variable is defined as follows: g = b + 6; z = s + 5; q = l + 3; b = u + 12; d = i + 17; u = d + 4; n = j + 20; l = v + 5; o = v + 19; s = n + 6; j = q + 4; i = o + 3; v = 18. If v = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"o": "l + 10", "g": "o + 9", "h": "g + 16", "w": "h + 16", "m": "w + 15", "c": "m + 19", "j": "l + 13", "b": "j + 7", "k": "b + 7", "u": "k + 12", "t": "u + 2", "i": "t + 5", "l": 12}, "premises": {"l": 12}, "target": "c"}, "answer": {"steps": [["m", "w + 15", "w + 34"], ["w", "h + 16", "h + 50"], ["h", "g + 16", "g + 66"], ["g", "o + 9", "o + 75"], ["o", "l + 10", "l + 85"], ["l", 12, "97"]], "target_var_name": "c", "target_value": 97, "value_dict": {"l": 12}, "is_reverse": true}} | 6,927 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = k + 12; o = l + 10; g = o + 9; m = w + 15; w = h + 16; j = l + 13; h = g + 16; k = b + 7; i = t + 5; c = m + 19; l = 12; b = j + 7; t = u + 2. Given that l = 12, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = w + 15 to c, which gives c = w + 34.\n2. Substitute w = h + 16 to c, which gives c = h + 50.\n3. Substitute h = g + 16 to c, which gives c = g + 66.\n4. Substitute g = o + 9 to c, which gives c = o + 75.\n5. Substitute o = l + 10 to c, which gives c = l + 85.\n6. Substitute l = 12 to c, which gives c = 97.\n\nThus, the final answer is c = \\boxed{97}.",
"index": 6927,
"question": "Suppose a collection of variables is related by the following definitions: u = k + 12; o = l + 10; g = o + 9; m = w + 15; w = h + 16; j = l + 13; h = g + 16; k = b + 7; i = t + 5; c = m + 19; l = 12; b = j + 7; t = u + 2. Given that l = 12, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"z": "e + 5", "o": "z + 5", "a": "o + 8", "j": "a + 16", "h": "j + 17", "l": "h + 11", "v": "e + 2", "w": "v + 10", "x": "w + 6", "g": "x + 10", "k": "g + 12", "m": "k + 11", "e": 14}, "premises": {"e": 14}, "target": "l"}, "answer": {"steps": [["h", "j + 17", "j + 28"], ["j", "a + 16", "a + 44"], ["a", "o + 8", "o + 52"], ["o", "z + 5", "z + 57"], ["z", "e + 5", "e + 62"], ["e", 14, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"e": 14}, "is_reverse": true}} | 6,928 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 8; m = k + 11; h = j + 17; g = x + 10; j = a + 16; v = e + 2; x = w + 6; z = e + 5; o = z + 5; e = 14; w = v + 10; k = g + 12; l = h + 11. If e = 14, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = j + 17 to l, which gives l = j + 28.\n2. Substitute j = a + 16 to l, which gives l = a + 44.\n3. Substitute a = o + 8 to l, which gives l = o + 52.\n4. Substitute o = z + 5 to l, which gives l = z + 57.\n5. Substitute z = e + 5 to l, which gives l = e + 62.\n6. Substitute e = 14 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 6928,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = o + 8; m = k + 11; h = j + 17; g = x + 10; j = a + 16; v = e + 2; x = w + 6; z = e + 5; o = z + 5; e = 14; w = v + 10; k = g + 12; l = h + 11. If e = 14, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"f": "n + 17", "r": "f + 10", "l": "r + 19", "m": "l + 1", "s": "m + 6", "j": "s + 10", "t": "n + 18", "h": "t + 17", "b": "h + 10", "o": "b + 9", "k": "o + 1", "x": "k + 9", "n": 6}, "premises": {"n": 6}, "target": "j"}, "answer": {"steps": [["s", "m + 6", "m + 16"], ["m", "l + 1", "l + 17"], ["l", "r + 19", "r + 36"], ["r", "f + 10", "f + 46"], ["f", "n + 17", "n + 63"], ["n", 6, "69"]], "target_var_name": "j", "target_value": 69, "value_dict": {"n": 6}, "is_reverse": true}} | 6,929 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 10; k = o + 1; n = 6; x = k + 9; l = r + 19; s = m + 6; r = f + 10; b = h + 10; h = t + 17; m = l + 1; t = n + 18; f = n + 17; o = b + 9. If n = 6, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 6 to j, which gives j = m + 16.\n2. Substitute m = l + 1 to j, which gives j = l + 17.\n3. Substitute l = r + 19 to j, which gives j = r + 36.\n4. Substitute r = f + 10 to j, which gives j = f + 46.\n5. Substitute f = n + 17 to j, which gives j = n + 63.\n6. Substitute n = 6 to j, which gives j = 69.\n\nThus, the final answer is j = \\boxed{69}.",
"index": 6929,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 10; k = o + 1; n = 6; x = k + 9; l = r + 19; s = m + 6; r = f + 10; b = h + 10; h = t + 17; m = l + 1; t = n + 18; f = n + 17; o = b + 9. If n = 6, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"t": "l + 19", "f": "t + 19", "s": "f + 15", "w": "s + 11", "b": "w + 2", "m": "b + 17", "z": "l + 3", "d": "z + 10", "u": "d + 18", "h": "u + 16", "p": "h + 16", "e": "p + 8", "l": 11}, "premises": {"l": 11}, "target": "m"}, "answer": {"steps": [["b", "w + 2", "w + 19"], ["w", "s + 11", "s + 30"], ["s", "f + 15", "f + 45"], ["f", "t + 19", "t + 64"], ["t", "l + 19", "l + 83"], ["l", 11, "94"]], "target_var_name": "m", "target_value": 94, "value_dict": {"l": 11}, "is_reverse": true}} | 6,930 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 15; p = h + 16; u = d + 18; f = t + 19; l = 11; h = u + 16; m = b + 17; e = p + 8; t = l + 19; b = w + 2; d = z + 10; z = l + 3; w = s + 11. If l = 11, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = w + 2 to m, which gives m = w + 19.\n2. Substitute w = s + 11 to m, which gives m = s + 30.\n3. Substitute s = f + 15 to m, which gives m = f + 45.\n4. Substitute f = t + 19 to m, which gives m = t + 64.\n5. Substitute t = l + 19 to m, which gives m = l + 83.\n6. Substitute l = 11 to m, which gives m = 94.\n\nThus, the final answer is m = \\boxed{94}.",
"index": 6930,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = f + 15; p = h + 16; u = d + 18; f = t + 19; l = 11; h = u + 16; m = b + 17; e = p + 8; t = l + 19; b = w + 2; d = z + 10; z = l + 3; w = s + 11. If l = 11, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"l": "t + 12", "z": "l + 10", "w": "z + 19", "n": "w + 11", "r": "n + 16", "y": "r + 11", "e": "t + 1", "q": "e + 1", "a": "q + 8", "x": "a + 18", "b": "x + 9", "i": "b + 19", "t": 20}, "premises": {"t": 20}, "target": "y"}, "answer": {"steps": [["r", "n + 16", "n + 27"], ["n", "w + 11", "w + 38"], ["w", "z + 19", "z + 57"], ["z", "l + 10", "l + 67"], ["l", "t + 12", "t + 79"], ["t", 20, "99"]], "target_var_name": "y", "target_value": 99, "value_dict": {"t": 20}, "is_reverse": true}} | 6,931 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 19; e = t + 1; b = x + 9; r = n + 16; t = 20; l = t + 12; w = z + 19; y = r + 11; a = q + 8; x = a + 18; q = e + 1; z = l + 10; n = w + 11. Given that t = 20, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = n + 16 to y, which gives y = n + 27.\n2. Substitute n = w + 11 to y, which gives y = w + 38.\n3. Substitute w = z + 19 to y, which gives y = z + 57.\n4. Substitute z = l + 10 to y, which gives y = l + 67.\n5. Substitute l = t + 12 to y, which gives y = t + 79.\n6. Substitute t = 20 to y, which gives y = 99.\n\nThus, the final answer is y = \\boxed{99}.",
"index": 6931,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 19; e = t + 1; b = x + 9; r = n + 16; t = 20; l = t + 12; w = z + 19; y = r + 11; a = q + 8; x = a + 18; q = e + 1; z = l + 10; n = w + 11. Given that t = 20, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 19", "d": "m + 15", "j": "d + 14", "i": "j + 4", "o": "i + 8", "k": "o + 5", "y": "r + 14", "g": "y + 11", "v": "g + 2", "h": "v + 17", "e": "h + 15", "l": "e + 2", "r": 10}, "premises": {"r": 10}, "target": "k"}, "answer": {"steps": [["o", "i + 8", "i + 13"], ["i", "j + 4", "j + 17"], ["j", "d + 14", "d + 31"], ["d", "m + 15", "m + 46"], ["m", "r + 19", "r + 65"], ["r", 10, "75"]], "target_var_name": "k", "target_value": 75, "value_dict": {"r": 10}, "is_reverse": true}} | 6,932 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = i + 8; y = r + 14; e = h + 15; k = o + 5; j = d + 14; l = e + 2; m = r + 19; g = y + 11; r = 10; d = m + 15; v = g + 2; h = v + 17; i = j + 4. If r = 10, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = i + 8 to k, which gives k = i + 13.\n2. Substitute i = j + 4 to k, which gives k = j + 17.\n3. Substitute j = d + 14 to k, which gives k = d + 31.\n4. Substitute d = m + 15 to k, which gives k = m + 46.\n5. Substitute m = r + 19 to k, which gives k = r + 65.\n6. Substitute r = 10 to k, which gives k = 75.\n\nThus, the final answer is k = \\boxed{75}.",
"index": 6932,
"question": "Consider a system of variables where each variable is defined as follows: o = i + 8; y = r + 14; e = h + 15; k = o + 5; j = d + 14; l = e + 2; m = r + 19; g = y + 11; r = 10; d = m + 15; v = g + 2; h = v + 17; i = j + 4. If r = 10, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"v": "o + 8", "t": "v + 4", "k": "t + 12", "a": "k + 7", "r": "a + 9", "n": "r + 10", "l": "o + 19", "y": "l + 10", "f": "y + 16", "h": "f + 14", "x": "h + 4", "g": "x + 5", "o": 12}, "premises": {"o": 12}, "target": "n"}, "answer": {"steps": [["r", "a + 9", "a + 19"], ["a", "k + 7", "k + 26"], ["k", "t + 12", "t + 38"], ["t", "v + 4", "v + 42"], ["v", "o + 8", "o + 50"], ["o", 12, "62"]], "target_var_name": "n", "target_value": 62, "value_dict": {"o": 12}, "is_reverse": true}} | 6,933 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 4; o = 12; r = a + 9; x = h + 4; l = o + 19; n = r + 10; g = x + 5; v = o + 8; k = t + 12; f = y + 16; h = f + 14; y = l + 10; a = k + 7. If o = 12, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = a + 9 to n, which gives n = a + 19.\n2. Substitute a = k + 7 to n, which gives n = k + 26.\n3. Substitute k = t + 12 to n, which gives n = t + 38.\n4. Substitute t = v + 4 to n, which gives n = v + 42.\n5. Substitute v = o + 8 to n, which gives n = o + 50.\n6. Substitute o = 12 to n, which gives n = 62.\n\nThus, the final answer is n = \\boxed{62}.",
"index": 6933,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 4; o = 12; r = a + 9; x = h + 4; l = o + 19; n = r + 10; g = x + 5; v = o + 8; k = t + 12; f = y + 16; h = f + 14; y = l + 10; a = k + 7. If o = 12, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"g": "h + 15", "w": "g + 20", "f": "w + 10", "o": "f + 16", "i": "o + 5", "e": "i + 5", "j": "h + 2", "b": "j + 7", "a": "b + 15", "p": "a + 19", "y": "p + 4", "r": "y + 17", "h": 13}, "premises": {"h": 13}, "target": "e"}, "answer": {"steps": [["i", "o + 5", "o + 10"], ["o", "f + 16", "f + 26"], ["f", "w + 10", "w + 36"], ["w", "g + 20", "g + 56"], ["g", "h + 15", "h + 71"], ["h", 13, "84"]], "target_var_name": "e", "target_value": 84, "value_dict": {"h": 13}, "is_reverse": true}} | 6,934 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 7; w = g + 20; a = b + 15; o = f + 16; g = h + 15; p = a + 19; r = y + 17; f = w + 10; j = h + 2; i = o + 5; e = i + 5; y = p + 4; h = 13. If h = 13, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 5 to e, which gives e = o + 10.\n2. Substitute o = f + 16 to e, which gives e = f + 26.\n3. Substitute f = w + 10 to e, which gives e = w + 36.\n4. Substitute w = g + 20 to e, which gives e = g + 56.\n5. Substitute g = h + 15 to e, which gives e = h + 71.\n6. Substitute h = 13 to e, which gives e = 84.\n\nThus, the final answer is e = \\boxed{84}.",
"index": 6934,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = j + 7; w = g + 20; a = b + 15; o = f + 16; g = h + 15; p = a + 19; r = y + 17; f = w + 10; j = h + 2; i = o + 5; e = i + 5; y = p + 4; h = 13. If h = 13, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"s": "x + 9", "v": "s + 6", "q": "v + 1", "o": "q + 17", "r": "o + 9", "i": "r + 11", "m": "x + 18", "e": "m + 3", "j": "e + 3", "p": "j + 6", "f": "p + 10", "z": "f + 18", "x": 18}, "premises": {"x": 18}, "target": "i"}, "answer": {"steps": [["r", "o + 9", "o + 20"], ["o", "q + 17", "q + 37"], ["q", "v + 1", "v + 38"], ["v", "s + 6", "s + 44"], ["s", "x + 9", "x + 53"], ["x", 18, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"x": 18}, "is_reverse": true}} | 6,935 | 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 = q + 17; p = j + 6; q = v + 1; f = p + 10; v = s + 6; s = x + 9; j = e + 3; x = 18; z = f + 18; e = m + 3; r = o + 9; m = x + 18; i = r + 11. If x = 18, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 9 to i, which gives i = o + 20.\n2. Substitute o = q + 17 to i, which gives i = q + 37.\n3. Substitute q = v + 1 to i, which gives i = v + 38.\n4. Substitute v = s + 6 to i, which gives i = s + 44.\n5. Substitute s = x + 9 to i, which gives i = x + 53.\n6. Substitute x = 18 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 6935,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = q + 17; p = j + 6; q = v + 1; f = p + 10; v = s + 6; s = x + 9; j = e + 3; x = 18; z = f + 18; e = m + 3; r = o + 9; m = x + 18; i = r + 11. If x = 18, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"i": "r + 20", "v": "i + 9", "b": "v + 2", "y": "b + 8", "g": "y + 6", "n": "g + 17", "e": "r + 16", "x": "e + 16", "l": "x + 10", "p": "l + 20", "t": "p + 5", "j": "t + 7", "r": 2}, "premises": {"r": 2}, "target": "n"}, "answer": {"steps": [["g", "y + 6", "y + 23"], ["y", "b + 8", "b + 31"], ["b", "v + 2", "v + 33"], ["v", "i + 9", "i + 42"], ["i", "r + 20", "r + 62"], ["r", 2, "64"]], "target_var_name": "n", "target_value": 64, "value_dict": {"r": 2}, "is_reverse": true}} | 6,936 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 17; b = v + 2; l = x + 10; e = r + 16; i = r + 20; y = b + 8; p = l + 20; r = 2; t = p + 5; g = y + 6; v = i + 9; j = t + 7; x = e + 16. If r = 2, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = y + 6 to n, which gives n = y + 23.\n2. Substitute y = b + 8 to n, which gives n = b + 31.\n3. Substitute b = v + 2 to n, which gives n = v + 33.\n4. Substitute v = i + 9 to n, which gives n = i + 42.\n5. Substitute i = r + 20 to n, which gives n = r + 62.\n6. Substitute r = 2 to n, which gives n = 64.\n\nThus, the final answer is n = \\boxed{64}.",
"index": 6936,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 17; b = v + 2; l = x + 10; e = r + 16; i = r + 20; y = b + 8; p = l + 20; r = 2; t = p + 5; g = y + 6; v = i + 9; j = t + 7; x = e + 16. If r = 2, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"i": "p + 6", "y": "i + 4", "v": "y + 8", "u": "v + 6", "a": "u + 9", "g": "a + 8", "o": "p + 10", "h": "o + 9", "d": "h + 20", "m": "d + 7", "c": "m + 4", "x": "c + 10", "p": 2}, "premises": {"p": 2}, "target": "g"}, "answer": {"steps": [["a", "u + 9", "u + 17"], ["u", "v + 6", "v + 23"], ["v", "y + 8", "y + 31"], ["y", "i + 4", "i + 35"], ["i", "p + 6", "p + 41"], ["p", 2, "43"]], "target_var_name": "g", "target_value": 43, "value_dict": {"p": 2}, "is_reverse": true}} | 6,937 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = 2; a = u + 9; x = c + 10; g = a + 8; u = v + 6; d = h + 20; y = i + 4; h = o + 9; c = m + 4; i = p + 6; m = d + 7; o = p + 10; v = y + 8. If p = 2, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = u + 9 to g, which gives g = u + 17.\n2. Substitute u = v + 6 to g, which gives g = v + 23.\n3. Substitute v = y + 8 to g, which gives g = y + 31.\n4. Substitute y = i + 4 to g, which gives g = i + 35.\n5. Substitute i = p + 6 to g, which gives g = p + 41.\n6. Substitute p = 2 to g, which gives g = 43.\n\nThus, the final answer is g = \\boxed{43}.",
"index": 6937,
"question": "Consider a system of variables where each variable is defined as follows: p = 2; a = u + 9; x = c + 10; g = a + 8; u = v + 6; d = h + 20; y = i + 4; h = o + 9; c = m + 4; i = p + 6; m = d + 7; o = p + 10; v = y + 8. If p = 2, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "s + 5", "a": "b + 2", "x": "a + 20", "p": "x + 13", "w": "p + 1", "u": "w + 12", "n": "s + 11", "q": "n + 15", "h": "q + 6", "m": "h + 13", "e": "m + 8", "f": "e + 15", "s": 13}, "premises": {"s": 13}, "target": "u"}, "answer": {"steps": [["w", "p + 1", "p + 13"], ["p", "x + 13", "x + 26"], ["x", "a + 20", "a + 46"], ["a", "b + 2", "b + 48"], ["b", "s + 5", "s + 53"], ["s", 13, "66"]], "target_var_name": "u", "target_value": 66, "value_dict": {"s": 13}, "is_reverse": true}} | 6,938 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = s + 11; q = n + 15; u = w + 12; h = q + 6; e = m + 8; p = x + 13; w = p + 1; m = h + 13; s = 13; b = s + 5; x = a + 20; a = b + 2; f = e + 15. If s = 13, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = p + 1 to u, which gives u = p + 13.\n2. Substitute p = x + 13 to u, which gives u = x + 26.\n3. Substitute x = a + 20 to u, which gives u = a + 46.\n4. Substitute a = b + 2 to u, which gives u = b + 48.\n5. Substitute b = s + 5 to u, which gives u = s + 53.\n6. Substitute s = 13 to u, which gives u = 66.\n\nThus, the final answer is u = \\boxed{66}.",
"index": 6938,
"question": "Consider a system of variables where each variable is defined as follows: n = s + 11; q = n + 15; u = w + 12; h = q + 6; e = m + 8; p = x + 13; w = p + 1; m = h + 13; s = 13; b = s + 5; x = a + 20; a = b + 2; f = e + 15. If s = 13, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "c + 12", "n": "k + 13", "o": "n + 15", "r": "o + 4", "h": "r + 13", "g": "h + 11", "u": "c + 18", "a": "u + 15", "t": "a + 9", "i": "t + 20", "y": "i + 15", "v": "y + 4", "c": 18}, "premises": {"c": 18}, "target": "g"}, "answer": {"steps": [["h", "r + 13", "r + 24"], ["r", "o + 4", "o + 28"], ["o", "n + 15", "n + 43"], ["n", "k + 13", "k + 56"], ["k", "c + 12", "c + 68"], ["c", 18, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"c": 18}, "is_reverse": true}} | 6,939 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = h + 11; y = i + 15; c = 18; k = c + 12; o = n + 15; u = c + 18; v = y + 4; a = u + 15; r = o + 4; h = r + 13; t = a + 9; i = t + 20; n = k + 13. If c = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 13 to g, which gives g = r + 24.\n2. Substitute r = o + 4 to g, which gives g = o + 28.\n3. Substitute o = n + 15 to g, which gives g = n + 43.\n4. Substitute n = k + 13 to g, which gives g = k + 56.\n5. Substitute k = c + 12 to g, which gives g = c + 68.\n6. Substitute c = 18 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 6939,
"question": "Consider a system of variables where each variable is defined as follows: g = h + 11; y = i + 15; c = 18; k = c + 12; o = n + 15; u = c + 18; v = y + 4; a = u + 15; r = o + 4; h = r + 13; t = a + 9; i = t + 20; n = k + 13. If c = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"z": "w + 2", "d": "z + 15", "u": "d + 3", "f": "u + 12", "y": "f + 14", "x": "y + 1", "c": "w + 17", "n": "c + 4", "q": "n + 5", "r": "q + 19", "v": "r + 17", "m": "v + 9", "w": 2}, "premises": {"w": 2}, "target": "x"}, "answer": {"steps": [["y", "f + 14", "f + 15"], ["f", "u + 12", "u + 27"], ["u", "d + 3", "d + 30"], ["d", "z + 15", "z + 45"], ["z", "w + 2", "w + 47"], ["w", 2, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"w": 2}, "is_reverse": true}} | 6,940 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 2; x = y + 1; n = c + 4; r = q + 19; y = f + 14; w = 2; v = r + 17; d = z + 15; c = w + 17; m = v + 9; q = n + 5; f = u + 12; u = d + 3. If w = 2, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 14 to x, which gives x = f + 15.\n2. Substitute f = u + 12 to x, which gives x = u + 27.\n3. Substitute u = d + 3 to x, which gives x = d + 30.\n4. Substitute d = z + 15 to x, which gives x = z + 45.\n5. Substitute z = w + 2 to x, which gives x = w + 47.\n6. Substitute w = 2 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 6940,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = w + 2; x = y + 1; n = c + 4; r = q + 19; y = f + 14; w = 2; v = r + 17; d = z + 15; c = w + 17; m = v + 9; q = n + 5; f = u + 12; u = d + 3. If w = 2, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"f": "g + 4", "y": "f + 19", "l": "y + 5", "w": "l + 13", "o": "w + 10", "h": "o + 3", "i": "g + 16", "q": "i + 17", "a": "q + 11", "t": "a + 3", "j": "t + 17", "v": "j + 8", "g": 9}, "premises": {"g": 9}, "target": "h"}, "answer": {"steps": [["o", "w + 10", "w + 13"], ["w", "l + 13", "l + 26"], ["l", "y + 5", "y + 31"], ["y", "f + 19", "f + 50"], ["f", "g + 4", "g + 54"], ["g", 9, "63"]], "target_var_name": "h", "target_value": 63, "value_dict": {"g": 9}, "is_reverse": true}} | 6,941 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = y + 5; t = a + 3; q = i + 17; v = j + 8; j = t + 17; h = o + 3; y = f + 19; f = g + 4; i = g + 16; a = q + 11; w = l + 13; o = w + 10; g = 9. Given that g = 9, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = w + 10 to h, which gives h = w + 13.\n2. Substitute w = l + 13 to h, which gives h = l + 26.\n3. Substitute l = y + 5 to h, which gives h = y + 31.\n4. Substitute y = f + 19 to h, which gives h = f + 50.\n5. Substitute f = g + 4 to h, which gives h = g + 54.\n6. Substitute g = 9 to h, which gives h = 63.\n\nThus, the final answer is h = \\boxed{63}.",
"index": 6941,
"question": "Suppose a collection of variables is related by the following definitions: l = y + 5; t = a + 3; q = i + 17; v = j + 8; j = t + 17; h = o + 3; y = f + 19; f = g + 4; i = g + 16; a = q + 11; w = l + 13; o = w + 10; g = 9. Given that g = 9, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"q": "z + 16", "c": "q + 18", "f": "c + 14", "s": "f + 8", "x": "s + 14", "h": "x + 14", "v": "z + 4", "p": "v + 5", "k": "p + 13", "n": "k + 9", "w": "n + 14", "u": "w + 20", "z": 4}, "premises": {"z": 4}, "target": "h"}, "answer": {"steps": [["x", "s + 14", "s + 28"], ["s", "f + 8", "f + 36"], ["f", "c + 14", "c + 50"], ["c", "q + 18", "q + 68"], ["q", "z + 16", "z + 84"], ["z", 4, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"z": 4}, "is_reverse": true}} | 6,942 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = n + 14; h = x + 14; u = w + 20; c = q + 18; p = v + 5; s = f + 8; k = p + 13; v = z + 4; n = k + 9; x = s + 14; z = 4; q = z + 16; f = c + 14. Given that z = 4, find the 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 x = s + 14 to h, which gives h = s + 28.\n2. Substitute s = f + 8 to h, which gives h = f + 36.\n3. Substitute f = c + 14 to h, which gives h = c + 50.\n4. Substitute c = q + 18 to h, which gives h = q + 68.\n5. Substitute q = z + 16 to h, which gives h = z + 84.\n6. Substitute z = 4 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 6942,
"question": "Suppose a collection of variables is related by the following definitions: w = n + 14; h = x + 14; u = w + 20; c = q + 18; p = v + 5; s = f + 8; k = p + 13; v = z + 4; n = k + 9; x = s + 14; z = 4; q = z + 16; f = c + 14. Given that z = 4, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"e": "b + 14", "z": "e + 13", "a": "z + 3", "i": "a + 20", "t": "i + 6", "j": "t + 12", "x": "b + 13", "s": "x + 19", "r": "s + 7", "l": "r + 3", "u": "l + 1", "g": "u + 17", "b": 18}, "premises": {"b": 18}, "target": "j"}, "answer": {"steps": [["t", "i + 6", "i + 18"], ["i", "a + 20", "a + 38"], ["a", "z + 3", "z + 41"], ["z", "e + 13", "e + 54"], ["e", "b + 14", "b + 68"], ["b", 18, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"b": 18}, "is_reverse": true}} | 6,943 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = b + 14; i = a + 20; t = i + 6; b = 18; x = b + 13; r = s + 7; l = r + 3; z = e + 13; g = u + 17; u = l + 1; a = z + 3; s = x + 19; j = t + 12. If b = 18, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = i + 6 to j, which gives j = i + 18.\n2. Substitute i = a + 20 to j, which gives j = a + 38.\n3. Substitute a = z + 3 to j, which gives j = z + 41.\n4. Substitute z = e + 13 to j, which gives j = e + 54.\n5. Substitute e = b + 14 to j, which gives j = b + 68.\n6. Substitute b = 18 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 6943,
"question": "Consider a system of variables where each variable is defined as follows: e = b + 14; i = a + 20; t = i + 6; b = 18; x = b + 13; r = s + 7; l = r + 3; z = e + 13; g = u + 17; u = l + 1; a = z + 3; s = x + 19; j = t + 12. If b = 18, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"d": "w + 19", "r": "d + 11", "g": "r + 6", "p": "g + 6", "s": "p + 19", "t": "s + 4", "a": "w + 11", "u": "a + 11", "i": "u + 20", "m": "i + 16", "q": "m + 19", "j": "q + 14", "w": 15}, "premises": {"w": 15}, "target": "t"}, "answer": {"steps": [["s", "p + 19", "p + 23"], ["p", "g + 6", "g + 29"], ["g", "r + 6", "r + 35"], ["r", "d + 11", "d + 46"], ["d", "w + 19", "w + 65"], ["w", 15, "80"]], "target_var_name": "t", "target_value": 80, "value_dict": {"w": 15}, "is_reverse": true}} | 6,944 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 4; a = w + 11; r = d + 11; s = p + 19; g = r + 6; u = a + 11; j = q + 14; w = 15; d = w + 19; p = g + 6; i = u + 20; m = i + 16; q = m + 19. If w = 15, what is the resulting 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 s = p + 19 to t, which gives t = p + 23.\n2. Substitute p = g + 6 to t, which gives t = g + 29.\n3. Substitute g = r + 6 to t, which gives t = r + 35.\n4. Substitute r = d + 11 to t, which gives t = d + 46.\n5. Substitute d = w + 19 to t, which gives t = w + 65.\n6. Substitute w = 15 to t, which gives t = 80.\n\nThus, the final answer is t = \\boxed{80}.",
"index": 6944,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 4; a = w + 11; r = d + 11; s = p + 19; g = r + 6; u = a + 11; j = q + 14; w = 15; d = w + 19; p = g + 6; i = u + 20; m = i + 16; q = m + 19. If w = 15, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 1", "n": "h + 19", "s": "n + 9", "z": "s + 7", "x": "z + 6", "e": "x + 3", "i": "c + 16", "d": "i + 14", "q": "d + 6", "p": "q + 4", "j": "p + 17", "a": "j + 3", "c": 13}, "premises": {"c": 13}, "target": "e"}, "answer": {"steps": [["x", "z + 6", "z + 9"], ["z", "s + 7", "s + 16"], ["s", "n + 9", "n + 25"], ["n", "h + 19", "h + 44"], ["h", "c + 1", "c + 45"], ["c", 13, "58"]], "target_var_name": "e", "target_value": 58, "value_dict": {"c": 13}, "is_reverse": true}} | 6,945 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = z + 6; d = i + 14; p = q + 4; a = j + 3; s = n + 9; h = c + 1; n = h + 19; q = d + 6; z = s + 7; e = x + 3; c = 13; j = p + 17; i = c + 16. Given that c = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = z + 6 to e, which gives e = z + 9.\n2. Substitute z = s + 7 to e, which gives e = s + 16.\n3. Substitute s = n + 9 to e, which gives e = n + 25.\n4. Substitute n = h + 19 to e, which gives e = h + 44.\n5. Substitute h = c + 1 to e, which gives e = c + 45.\n6. Substitute c = 13 to e, which gives e = 58.\n\nThus, the final answer is e = \\boxed{58}.",
"index": 6945,
"question": "Suppose a collection of variables is related by the following definitions: x = z + 6; d = i + 14; p = q + 4; a = j + 3; s = n + 9; h = c + 1; n = h + 19; q = d + 6; z = s + 7; e = x + 3; c = 13; j = p + 17; i = c + 16. Given that c = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "h + 15", "z": "l + 5", "v": "z + 1", "p": "v + 18", "i": "p + 7", "r": "i + 16", "d": "h + 13", "b": "d + 19", "a": "b + 14", "w": "a + 1", "e": "w + 15", "s": "e + 1", "h": 13}, "premises": {"h": 13}, "target": "r"}, "answer": {"steps": [["i", "p + 7", "p + 23"], ["p", "v + 18", "v + 41"], ["v", "z + 1", "z + 42"], ["z", "l + 5", "l + 47"], ["l", "h + 15", "h + 62"], ["h", 13, "75"]], "target_var_name": "r", "target_value": 75, "value_dict": {"h": 13}, "is_reverse": true}} | 6,946 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = d + 19; s = e + 1; d = h + 13; v = z + 1; a = b + 14; l = h + 15; e = w + 15; p = v + 18; z = l + 5; w = a + 1; r = i + 16; h = 13; i = p + 7. Given that h = 13, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = p + 7 to r, which gives r = p + 23.\n2. Substitute p = v + 18 to r, which gives r = v + 41.\n3. Substitute v = z + 1 to r, which gives r = z + 42.\n4. Substitute z = l + 5 to r, which gives r = l + 47.\n5. Substitute l = h + 15 to r, which gives r = h + 62.\n6. Substitute h = 13 to r, which gives r = 75.\n\nThus, the final answer is r = \\boxed{75}.",
"index": 6946,
"question": "Suppose a collection of variables is related by the following definitions: b = d + 19; s = e + 1; d = h + 13; v = z + 1; a = b + 14; l = h + 15; e = w + 15; p = v + 18; z = l + 5; w = a + 1; r = i + 16; h = 13; i = p + 7. Given that h = 13, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"b": "g + 12", "z": "b + 3", "j": "z + 18", "w": "j + 4", "v": "w + 10", "c": "v + 10", "x": "g + 4", "k": "x + 15", "i": "k + 14", "h": "i + 4", "f": "h + 4", "e": "f + 10", "g": 11}, "premises": {"g": 11}, "target": "c"}, "answer": {"steps": [["v", "w + 10", "w + 20"], ["w", "j + 4", "j + 24"], ["j", "z + 18", "z + 42"], ["z", "b + 3", "b + 45"], ["b", "g + 12", "g + 57"], ["g", 11, "68"]], "target_var_name": "c", "target_value": 68, "value_dict": {"g": 11}, "is_reverse": true}} | 6,947 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = g + 4; z = b + 3; j = z + 18; w = j + 4; g = 11; e = f + 10; f = h + 4; b = g + 12; i = k + 14; k = x + 15; h = i + 4; c = v + 10; v = w + 10. Given that g = 11, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = w + 10 to c, which gives c = w + 20.\n2. Substitute w = j + 4 to c, which gives c = j + 24.\n3. Substitute j = z + 18 to c, which gives c = z + 42.\n4. Substitute z = b + 3 to c, which gives c = b + 45.\n5. Substitute b = g + 12 to c, which gives c = g + 57.\n6. Substitute g = 11 to c, which gives c = 68.\n\nThus, the final answer is c = \\boxed{68}.",
"index": 6947,
"question": "Suppose a collection of variables is related by the following definitions: x = g + 4; z = b + 3; j = z + 18; w = j + 4; g = 11; e = f + 10; f = h + 4; b = g + 12; i = k + 14; k = x + 15; h = i + 4; c = v + 10; v = w + 10. Given that g = 11, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 11", "r": "y + 12", "a": "r + 1", "j": "a + 4", "t": "j + 1", "s": "t + 4", "e": "n + 9", "k": "e + 8", "x": "k + 2", "z": "x + 7", "d": "z + 3", "w": "d + 2", "n": 10}, "premises": {"n": 10}, "target": "s"}, "answer": {"steps": [["t", "j + 1", "j + 5"], ["j", "a + 4", "a + 9"], ["a", "r + 1", "r + 10"], ["r", "y + 12", "y + 22"], ["y", "n + 11", "n + 33"], ["n", 10, "43"]], "target_var_name": "s", "target_value": 43, "value_dict": {"n": 10}, "is_reverse": true}} | 6,948 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 4; n = 10; s = t + 4; r = y + 12; d = z + 3; y = n + 11; e = n + 9; t = j + 1; z = x + 7; x = k + 2; k = e + 8; a = r + 1; w = d + 2. If n = 10, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 43,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 1 to s, which gives s = j + 5.\n2. Substitute j = a + 4 to s, which gives s = a + 9.\n3. Substitute a = r + 1 to s, which gives s = r + 10.\n4. Substitute r = y + 12 to s, which gives s = y + 22.\n5. Substitute y = n + 11 to s, which gives s = n + 33.\n6. Substitute n = 10 to s, which gives s = 43.\n\nThus, the final answer is s = \\boxed{43}.",
"index": 6948,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = a + 4; n = 10; s = t + 4; r = y + 12; d = z + 3; y = n + 11; e = n + 9; t = j + 1; z = x + 7; x = k + 2; k = e + 8; a = r + 1; w = d + 2. If n = 10, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"n": "c + 2", "o": "n + 18", "d": "o + 19", "p": "d + 10", "q": "p + 11", "y": "q + 9", "w": "c + 9", "b": "w + 11", "r": "b + 8", "x": "r + 3", "h": "x + 14", "f": "h + 17", "c": 17}, "premises": {"c": 17}, "target": "y"}, "answer": {"steps": [["q", "p + 11", "p + 20"], ["p", "d + 10", "d + 30"], ["d", "o + 19", "o + 49"], ["o", "n + 18", "n + 67"], ["n", "c + 2", "c + 69"], ["c", 17, "86"]], "target_var_name": "y", "target_value": 86, "value_dict": {"c": 17}, "is_reverse": true}} | 6,949 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 8; c = 17; o = n + 18; b = w + 11; q = p + 11; n = c + 2; w = c + 9; f = h + 17; y = q + 9; d = o + 19; h = x + 14; p = d + 10; x = r + 3. If c = 17, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 11 to y, which gives y = p + 20.\n2. Substitute p = d + 10 to y, which gives y = d + 30.\n3. Substitute d = o + 19 to y, which gives y = o + 49.\n4. Substitute o = n + 18 to y, which gives y = n + 67.\n5. Substitute n = c + 2 to y, which gives y = c + 69.\n6. Substitute c = 17 to y, which gives y = 86.\n\nThus, the final answer is y = \\boxed{86}.",
"index": 6949,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = b + 8; c = 17; o = n + 18; b = w + 11; q = p + 11; n = c + 2; w = c + 9; f = h + 17; y = q + 9; d = o + 19; h = x + 14; p = d + 10; x = r + 3. If c = 17, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 15", "r": "c + 1", "x": "r + 1", "m": "x + 14", "w": "m + 18", "s": "w + 6", "t": "p + 2", "e": "t + 18", "j": "e + 1", "u": "j + 10", "y": "u + 12", "h": "y + 14", "p": 7}, "premises": {"p": 7}, "target": "s"}, "answer": {"steps": [["w", "m + 18", "m + 24"], ["m", "x + 14", "x + 38"], ["x", "r + 1", "r + 39"], ["r", "c + 1", "c + 40"], ["c", "p + 15", "p + 55"], ["p", 7, "62"]], "target_var_name": "s", "target_value": 62, "value_dict": {"p": 7}, "is_reverse": true}} | 6,950 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = 7; w = m + 18; h = y + 14; r = c + 1; e = t + 18; t = p + 2; x = r + 1; s = w + 6; u = j + 10; m = x + 14; j = e + 1; c = p + 15; y = u + 12. Given that p = 7, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = m + 18 to s, which gives s = m + 24.\n2. Substitute m = x + 14 to s, which gives s = x + 38.\n3. Substitute x = r + 1 to s, which gives s = r + 39.\n4. Substitute r = c + 1 to s, which gives s = c + 40.\n5. Substitute c = p + 15 to s, which gives s = p + 55.\n6. Substitute p = 7 to s, which gives s = 62.\n\nThus, the final answer is s = \\boxed{62}.",
"index": 6950,
"question": "Suppose a collection of variables is related by the following definitions: p = 7; w = m + 18; h = y + 14; r = c + 1; e = t + 18; t = p + 2; x = r + 1; s = w + 6; u = j + 10; m = x + 14; j = e + 1; c = p + 15; y = u + 12. Given that p = 7, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 3", "m": "w + 3", "k": "m + 7", "z": "k + 18", "a": "z + 1", "u": "a + 11", "f": "j + 8", "l": "f + 17", "i": "l + 18", "n": "i + 10", "v": "n + 1", "p": "v + 3", "j": 3}, "premises": {"j": 3}, "target": "u"}, "answer": {"steps": [["a", "z + 1", "z + 12"], ["z", "k + 18", "k + 30"], ["k", "m + 7", "m + 37"], ["m", "w + 3", "w + 40"], ["w", "j + 3", "j + 43"], ["j", 3, "46"]], "target_var_name": "u", "target_value": 46, "value_dict": {"j": 3}, "is_reverse": true}} | 6,951 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = a + 11; v = n + 1; f = j + 8; w = j + 3; n = i + 10; k = m + 7; a = z + 1; z = k + 18; i = l + 18; m = w + 3; p = v + 3; j = 3; l = f + 17. If j = 3, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = z + 1 to u, which gives u = z + 12.\n2. Substitute z = k + 18 to u, which gives u = k + 30.\n3. Substitute k = m + 7 to u, which gives u = m + 37.\n4. Substitute m = w + 3 to u, which gives u = w + 40.\n5. Substitute w = j + 3 to u, which gives u = j + 43.\n6. Substitute j = 3 to u, which gives u = 46.\n\nThus, the final answer is u = \\boxed{46}.",
"index": 6951,
"question": "Consider a system of variables where each variable is defined as follows: u = a + 11; v = n + 1; f = j + 8; w = j + 3; n = i + 10; k = m + 7; a = z + 1; z = k + 18; i = l + 18; m = w + 3; p = v + 3; j = 3; l = f + 17. If j = 3, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"q": "p + 12", "c": "q + 11", "e": "c + 4", "a": "e + 15", "b": "a + 5", "i": "b + 5", "z": "p + 5", "t": "z + 3", "n": "t + 19", "o": "n + 7", "s": "o + 17", "h": "s + 9", "p": 17}, "premises": {"p": 17}, "target": "i"}, "answer": {"steps": [["b", "a + 5", "a + 10"], ["a", "e + 15", "e + 25"], ["e", "c + 4", "c + 29"], ["c", "q + 11", "q + 40"], ["q", "p + 12", "p + 52"], ["p", 17, "69"]], "target_var_name": "i", "target_value": 69, "value_dict": {"p": 17}, "is_reverse": true}} | 6,952 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = e + 15; s = o + 17; o = n + 7; t = z + 3; n = t + 19; i = b + 5; e = c + 4; b = a + 5; c = q + 11; h = s + 9; q = p + 12; z = p + 5; p = 17. Given that p = 17, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = a + 5 to i, which gives i = a + 10.\n2. Substitute a = e + 15 to i, which gives i = e + 25.\n3. Substitute e = c + 4 to i, which gives i = c + 29.\n4. Substitute c = q + 11 to i, which gives i = q + 40.\n5. Substitute q = p + 12 to i, which gives i = p + 52.\n6. Substitute p = 17 to i, which gives i = 69.\n\nThus, the final answer is i = \\boxed{69}.",
"index": 6952,
"question": "Suppose a collection of variables is related by the following definitions: a = e + 15; s = o + 17; o = n + 7; t = z + 3; n = t + 19; i = b + 5; e = c + 4; b = a + 5; c = q + 11; h = s + 9; q = p + 12; z = p + 5; p = 17. Given that p = 17, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"u": "o + 19", "d": "u + 20", "f": "d + 12", "b": "f + 7", "p": "b + 3", "g": "p + 3", "y": "o + 17", "w": "y + 9", "v": "w + 10", "n": "v + 12", "j": "n + 1", "h": "j + 12", "o": 20}, "premises": {"o": 20}, "target": "g"}, "answer": {"steps": [["p", "b + 3", "b + 6"], ["b", "f + 7", "f + 13"], ["f", "d + 12", "d + 25"], ["d", "u + 20", "u + 45"], ["u", "o + 19", "o + 64"], ["o", 20, "84"]], "target_var_name": "g", "target_value": 84, "value_dict": {"o": 20}, "is_reverse": true}} | 6,953 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = p + 3; w = y + 9; h = j + 12; f = d + 12; p = b + 3; n = v + 12; u = o + 19; o = 20; d = u + 20; v = w + 10; b = f + 7; j = n + 1; y = o + 17. If o = 20, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = b + 3 to g, which gives g = b + 6.\n2. Substitute b = f + 7 to g, which gives g = f + 13.\n3. Substitute f = d + 12 to g, which gives g = d + 25.\n4. Substitute d = u + 20 to g, which gives g = u + 45.\n5. Substitute u = o + 19 to g, which gives g = o + 64.\n6. Substitute o = 20 to g, which gives g = 84.\n\nThus, the final answer is g = \\boxed{84}.",
"index": 6953,
"question": "Consider a system of variables where each variable is defined as follows: g = p + 3; w = y + 9; h = j + 12; f = d + 12; p = b + 3; n = v + 12; u = o + 19; o = 20; d = u + 20; v = w + 10; b = f + 7; j = n + 1; y = o + 17. If o = 20, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"s": "o + 4", "z": "s + 6", "r": "z + 6", "k": "r + 7", "y": "k + 10", "p": "y + 1", "e": "o + 8", "i": "e + 12", "m": "i + 5", "d": "m + 4", "a": "d + 17", "x": "a + 18", "o": 15}, "premises": {"o": 15}, "target": "p"}, "answer": {"steps": [["y", "k + 10", "k + 11"], ["k", "r + 7", "r + 18"], ["r", "z + 6", "z + 24"], ["z", "s + 6", "s + 30"], ["s", "o + 4", "o + 34"], ["o", 15, "49"]], "target_var_name": "p", "target_value": 49, "value_dict": {"o": 15}, "is_reverse": true}} | 6,954 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = s + 6; m = i + 5; x = a + 18; a = d + 17; k = r + 7; y = k + 10; p = y + 1; e = o + 8; i = e + 12; o = 15; r = z + 6; s = o + 4; d = m + 4. Given that o = 15, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = k + 10 to p, which gives p = k + 11.\n2. Substitute k = r + 7 to p, which gives p = r + 18.\n3. Substitute r = z + 6 to p, which gives p = z + 24.\n4. Substitute z = s + 6 to p, which gives p = s + 30.\n5. Substitute s = o + 4 to p, which gives p = o + 34.\n6. Substitute o = 15 to p, which gives p = 49.\n\nThus, the final answer is p = \\boxed{49}.",
"index": 6954,
"question": "Suppose a collection of variables is related by the following definitions: z = s + 6; m = i + 5; x = a + 18; a = d + 17; k = r + 7; y = k + 10; p = y + 1; e = o + 8; i = e + 12; o = 15; r = z + 6; s = o + 4; d = m + 4. Given that o = 15, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 18", "t": "d + 3", "g": "t + 17", "f": "g + 10", "e": "f + 16", "l": "e + 3", "c": "q + 4", "w": "c + 17", "y": "w + 14", "a": "y + 17", "h": "a + 2", "p": "h + 1", "q": 11}, "premises": {"q": 11}, "target": "l"}, "answer": {"steps": [["e", "f + 16", "f + 19"], ["f", "g + 10", "g + 29"], ["g", "t + 17", "t + 46"], ["t", "d + 3", "d + 49"], ["d", "q + 18", "q + 67"], ["q", 11, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"q": 11}, "is_reverse": true}} | 6,955 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; y = w + 14; w = c + 17; h = a + 2; p = h + 1; l = e + 3; f = g + 10; g = t + 17; t = d + 3; e = f + 16; a = y + 17; d = q + 18; c = q + 4. If q = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = f + 16 to l, which gives l = f + 19.\n2. Substitute f = g + 10 to l, which gives l = g + 29.\n3. Substitute g = t + 17 to l, which gives l = t + 46.\n4. Substitute t = d + 3 to l, which gives l = d + 49.\n5. Substitute d = q + 18 to l, which gives l = q + 67.\n6. Substitute q = 11 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 6955,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = 11; y = w + 14; w = c + 17; h = a + 2; p = h + 1; l = e + 3; f = g + 10; g = t + 17; t = d + 3; e = f + 16; a = y + 17; d = q + 18; c = q + 4. If q = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "a + 16", "i": "p + 6", "v": "i + 6", "g": "v + 17", "t": "g + 18", "x": "t + 6", "k": "a + 12", "z": "k + 13", "j": "z + 14", "f": "j + 7", "w": "f + 14", "o": "w + 9", "a": 19}, "premises": {"a": 19}, "target": "x"}, "answer": {"steps": [["t", "g + 18", "g + 24"], ["g", "v + 17", "v + 41"], ["v", "i + 6", "i + 47"], ["i", "p + 6", "p + 53"], ["p", "a + 16", "a + 69"], ["a", 19, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"a": 19}, "is_reverse": true}} | 6,956 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = p + 6; a = 19; x = t + 6; w = f + 14; g = v + 17; t = g + 18; k = a + 12; p = a + 16; f = j + 7; z = k + 13; j = z + 14; o = w + 9; v = i + 6. If a = 19, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = g + 18 to x, which gives x = g + 24.\n2. Substitute g = v + 17 to x, which gives x = v + 41.\n3. Substitute v = i + 6 to x, which gives x = i + 47.\n4. Substitute i = p + 6 to x, which gives x = p + 53.\n5. Substitute p = a + 16 to x, which gives x = a + 69.\n6. Substitute a = 19 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 6956,
"question": "Consider a system of variables where each variable is defined as follows: i = p + 6; a = 19; x = t + 6; w = f + 14; g = v + 17; t = g + 18; k = a + 12; p = a + 16; f = j + 7; z = k + 13; j = z + 14; o = w + 9; v = i + 6. If a = 19, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 10", "m": "s + 5", "c": "m + 7", "h": "c + 5", "t": "h + 14", "w": "t + 17", "q": "r + 14", "g": "q + 8", "n": "g + 17", "j": "n + 7", "v": "j + 14", "x": "v + 7", "r": 15}, "premises": {"r": 15}, "target": "w"}, "answer": {"steps": [["t", "h + 14", "h + 31"], ["h", "c + 5", "c + 36"], ["c", "m + 7", "m + 43"], ["m", "s + 5", "s + 48"], ["s", "r + 10", "r + 58"], ["r", 15, "73"]], "target_var_name": "w", "target_value": 73, "value_dict": {"r": 15}, "is_reverse": true}} | 6,957 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = h + 14; v = j + 14; g = q + 8; c = m + 7; s = r + 10; r = 15; w = t + 17; x = v + 7; h = c + 5; j = n + 7; q = r + 14; n = g + 17; m = s + 5. If r = 15, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 14 to w, which gives w = h + 31.\n2. Substitute h = c + 5 to w, which gives w = c + 36.\n3. Substitute c = m + 7 to w, which gives w = m + 43.\n4. Substitute m = s + 5 to w, which gives w = s + 48.\n5. Substitute s = r + 10 to w, which gives w = r + 58.\n6. Substitute r = 15 to w, which gives w = 73.\n\nThus, the final answer is w = \\boxed{73}.",
"index": 6957,
"question": "Consider a system of variables where each variable is defined as follows: t = h + 14; v = j + 14; g = q + 8; c = m + 7; s = r + 10; r = 15; w = t + 17; x = v + 7; h = c + 5; j = n + 7; q = r + 14; n = g + 17; m = s + 5. If r = 15, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 2", "o": "q + 20", "j": "o + 10", "l": "j + 10", "s": "l + 15", "f": "s + 3", "n": "x + 3", "d": "n + 4", "b": "d + 16", "r": "b + 14", "z": "r + 1", "t": "z + 1", "x": 18}, "premises": {"x": 18}, "target": "f"}, "answer": {"steps": [["s", "l + 15", "l + 18"], ["l", "j + 10", "j + 28"], ["j", "o + 10", "o + 38"], ["o", "q + 20", "q + 58"], ["q", "x + 2", "x + 60"], ["x", 18, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"x": 18}, "is_reverse": true}} | 6,958 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = 18; l = j + 10; q = x + 2; d = n + 4; r = b + 14; n = x + 3; b = d + 16; o = q + 20; s = l + 15; j = o + 10; z = r + 1; t = z + 1; f = s + 3. If x = 18, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = l + 15 to f, which gives f = l + 18.\n2. Substitute l = j + 10 to f, which gives f = j + 28.\n3. Substitute j = o + 10 to f, which gives f = o + 38.\n4. Substitute o = q + 20 to f, which gives f = q + 58.\n5. Substitute q = x + 2 to f, which gives f = x + 60.\n6. Substitute x = 18 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 6958,
"question": "Consider a system of variables where each variable is defined as follows: x = 18; l = j + 10; q = x + 2; d = n + 4; r = b + 14; n = x + 3; b = d + 16; o = q + 20; s = l + 15; j = o + 10; z = r + 1; t = z + 1; f = s + 3. If x = 18, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"x": "s + 16", "h": "x + 19", "f": "h + 5", "a": "f + 16", "v": "a + 19", "e": "v + 7", "n": "s + 19", "k": "n + 17", "u": "k + 18", "d": "u + 5", "p": "d + 15", "l": "p + 3", "s": 8}, "premises": {"s": 8}, "target": "e"}, "answer": {"steps": [["v", "a + 19", "a + 26"], ["a", "f + 16", "f + 42"], ["f", "h + 5", "h + 47"], ["h", "x + 19", "x + 66"], ["x", "s + 16", "s + 82"], ["s", 8, "90"]], "target_var_name": "e", "target_value": 90, "value_dict": {"s": 8}, "is_reverse": true}} | 6,959 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 17; h = x + 19; n = s + 19; s = 8; x = s + 16; l = p + 3; e = v + 7; f = h + 5; p = d + 15; d = u + 5; v = a + 19; a = f + 16; u = k + 18. If s = 8, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = a + 19 to e, which gives e = a + 26.\n2. Substitute a = f + 16 to e, which gives e = f + 42.\n3. Substitute f = h + 5 to e, which gives e = h + 47.\n4. Substitute h = x + 19 to e, which gives e = x + 66.\n5. Substitute x = s + 16 to e, which gives e = s + 82.\n6. Substitute s = 8 to e, which gives e = 90.\n\nThus, the final answer is e = \\boxed{90}.",
"index": 6959,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = n + 17; h = x + 19; n = s + 19; s = 8; x = s + 16; l = p + 3; e = v + 7; f = h + 5; p = d + 15; d = u + 5; v = a + 19; a = f + 16; u = k + 18. If s = 8, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"f": "t + 11", "m": "f + 7", "k": "m + 15", "e": "k + 20", "g": "e + 16", "o": "g + 8", "c": "t + 11", "d": "c + 1", "j": "d + 20", "r": "j + 7", "l": "r + 13", "w": "l + 19", "t": 2}, "premises": {"t": 2}, "target": "o"}, "answer": {"steps": [["g", "e + 16", "e + 24"], ["e", "k + 20", "k + 44"], ["k", "m + 15", "m + 59"], ["m", "f + 7", "f + 66"], ["f", "t + 11", "t + 77"], ["t", 2, "79"]], "target_var_name": "o", "target_value": 79, "value_dict": {"t": 2}, "is_reverse": true}} | 6,960 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = r + 13; w = l + 19; t = 2; k = m + 15; r = j + 7; c = t + 11; m = f + 7; e = k + 20; d = c + 1; j = d + 20; f = t + 11; o = g + 8; g = e + 16. Given that t = 2, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = e + 16 to o, which gives o = e + 24.\n2. Substitute e = k + 20 to o, which gives o = k + 44.\n3. Substitute k = m + 15 to o, which gives o = m + 59.\n4. Substitute m = f + 7 to o, which gives o = f + 66.\n5. Substitute f = t + 11 to o, which gives o = t + 77.\n6. Substitute t = 2 to o, which gives o = 79.\n\nThus, the final answer is o = \\boxed{79}.",
"index": 6960,
"question": "Suppose a collection of variables is related by the following definitions: l = r + 13; w = l + 19; t = 2; k = m + 15; r = j + 7; c = t + 11; m = f + 7; e = k + 20; d = c + 1; j = d + 20; f = t + 11; o = g + 8; g = e + 16. Given that t = 2, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"q": "x + 3", "u": "q + 20", "y": "u + 13", "h": "y + 6", "w": "h + 16", "b": "w + 8", "e": "x + 7", "g": "e + 2", "n": "g + 6", "o": "n + 3", "k": "o + 17", "d": "k + 7", "x": 11}, "premises": {"x": 11}, "target": "b"}, "answer": {"steps": [["w", "h + 16", "h + 24"], ["h", "y + 6", "y + 30"], ["y", "u + 13", "u + 43"], ["u", "q + 20", "q + 63"], ["q", "x + 3", "x + 66"], ["x", 11, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"x": 11}, "is_reverse": true}} | 6,961 | 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 = e + 2; e = x + 7; k = o + 17; y = u + 13; o = n + 3; q = x + 3; b = w + 8; u = q + 20; w = h + 16; n = g + 6; d = k + 7; h = y + 6; x = 11. If x = 11, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 16 to b, which gives b = h + 24.\n2. Substitute h = y + 6 to b, which gives b = y + 30.\n3. Substitute y = u + 13 to b, which gives b = u + 43.\n4. Substitute u = q + 20 to b, which gives b = q + 63.\n5. Substitute q = x + 3 to b, which gives b = x + 66.\n6. Substitute x = 11 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 6961,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = e + 2; e = x + 7; k = o + 17; y = u + 13; o = n + 3; q = x + 3; b = w + 8; u = q + 20; w = h + 16; n = g + 6; d = k + 7; h = y + 6; x = 11. If x = 11, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 15", "v": "i + 10", "n": "v + 9", "f": "n + 20", "b": "f + 17", "w": "b + 10", "o": "a + 6", "p": "o + 2", "z": "p + 4", "r": "z + 12", "d": "r + 12", "l": "d + 12", "a": 17}, "premises": {"a": 17}, "target": "w"}, "answer": {"steps": [["b", "f + 17", "f + 27"], ["f", "n + 20", "n + 47"], ["n", "v + 9", "v + 56"], ["v", "i + 10", "i + 66"], ["i", "a + 15", "a + 81"], ["a", 17, "98"]], "target_var_name": "w", "target_value": 98, "value_dict": {"a": 17}, "is_reverse": true}} | 6,962 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 10; v = i + 10; r = z + 12; z = p + 4; l = d + 12; n = v + 9; a = 17; d = r + 12; i = a + 15; o = a + 6; f = n + 20; p = o + 2; b = f + 17. If a = 17, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 17 to w, which gives w = f + 27.\n2. Substitute f = n + 20 to w, which gives w = n + 47.\n3. Substitute n = v + 9 to w, which gives w = v + 56.\n4. Substitute v = i + 10 to w, which gives w = i + 66.\n5. Substitute i = a + 15 to w, which gives w = a + 81.\n6. Substitute a = 17 to w, which gives w = 98.\n\nThus, the final answer is w = \\boxed{98}.",
"index": 6962,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 10; v = i + 10; r = z + 12; z = p + 4; l = d + 12; n = v + 9; a = 17; d = r + 12; i = a + 15; o = a + 6; f = n + 20; p = o + 2; b = f + 17. If a = 17, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"d": "o + 16", "g": "d + 10", "y": "g + 12", "r": "y + 3", "t": "r + 5", "x": "t + 16", "k": "o + 12", "w": "k + 5", "m": "w + 20", "j": "m + 10", "i": "j + 15", "p": "i + 20", "o": 1}, "premises": {"o": 1}, "target": "x"}, "answer": {"steps": [["t", "r + 5", "r + 21"], ["r", "y + 3", "y + 24"], ["y", "g + 12", "g + 36"], ["g", "d + 10", "d + 46"], ["d", "o + 16", "o + 62"], ["o", 1, "63"]], "target_var_name": "x", "target_value": 63, "value_dict": {"o": 1}, "is_reverse": true}} | 6,963 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = o + 16; g = d + 10; y = g + 12; t = r + 5; o = 1; w = k + 5; k = o + 12; j = m + 10; p = i + 20; x = t + 16; r = y + 3; i = j + 15; m = w + 20. If o = 1, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 5 to x, which gives x = r + 21.\n2. Substitute r = y + 3 to x, which gives x = y + 24.\n3. Substitute y = g + 12 to x, which gives x = g + 36.\n4. Substitute g = d + 10 to x, which gives x = d + 46.\n5. Substitute d = o + 16 to x, which gives x = o + 62.\n6. Substitute o = 1 to x, which gives x = 63.\n\nThus, the final answer is x = \\boxed{63}.",
"index": 6963,
"question": "Consider a system of variables where each variable is defined as follows: d = o + 16; g = d + 10; y = g + 12; t = r + 5; o = 1; w = k + 5; k = o + 12; j = m + 10; p = i + 20; x = t + 16; r = y + 3; i = j + 15; m = w + 20. If o = 1, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"h": "g + 11", "j": "h + 16", "v": "j + 20", "r": "v + 11", "b": "r + 15", "m": "b + 18", "u": "g + 18", "d": "u + 2", "y": "d + 18", "k": "y + 17", "e": "k + 16", "x": "e + 14", "g": 19}, "premises": {"g": 19}, "target": "m"}, "answer": {"steps": [["b", "r + 15", "r + 33"], ["r", "v + 11", "v + 44"], ["v", "j + 20", "j + 64"], ["j", "h + 16", "h + 80"], ["h", "g + 11", "g + 91"], ["g", 19, "110"]], "target_var_name": "m", "target_value": 110, "value_dict": {"g": 19}, "is_reverse": true}} | 6,964 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: m = b + 18; e = k + 16; b = r + 15; j = h + 16; k = y + 17; v = j + 20; h = g + 11; y = d + 18; u = g + 18; d = u + 2; x = e + 14; g = 19; r = v + 11. Given that g = 19, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 110,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = r + 15 to m, which gives m = r + 33.\n2. Substitute r = v + 11 to m, which gives m = v + 44.\n3. Substitute v = j + 20 to m, which gives m = j + 64.\n4. Substitute j = h + 16 to m, which gives m = h + 80.\n5. Substitute h = g + 11 to m, which gives m = g + 91.\n6. Substitute g = 19 to m, which gives m = 110.\n\nThus, the final answer is m = \\boxed{110}.",
"index": 6964,
"question": "Suppose a collection of variables is related by the following definitions: m = b + 18; e = k + 16; b = r + 15; j = h + 16; k = y + 17; v = j + 20; h = g + 11; y = d + 18; u = g + 18; d = u + 2; x = e + 14; g = 19; r = v + 11. Given that g = 19, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 4", "e": "x + 2", "r": "e + 18", "s": "r + 10", "y": "s + 13", "k": "y + 7", "f": "u + 4", "d": "f + 2", "w": "d + 9", "q": "w + 14", "i": "q + 6", "c": "i + 6", "u": 3}, "premises": {"u": 3}, "target": "k"}, "answer": {"steps": [["y", "s + 13", "s + 20"], ["s", "r + 10", "r + 30"], ["r", "e + 18", "e + 48"], ["e", "x + 2", "x + 50"], ["x", "u + 4", "u + 54"], ["u", 3, "57"]], "target_var_name": "k", "target_value": 57, "value_dict": {"u": 3}, "is_reverse": true}} | 6,965 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = w + 14; u = 3; e = x + 2; w = d + 9; y = s + 13; f = u + 4; i = q + 6; k = y + 7; d = f + 2; s = r + 10; x = u + 4; r = e + 18; c = i + 6. Given that u = 3, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 13 to k, which gives k = s + 20.\n2. Substitute s = r + 10 to k, which gives k = r + 30.\n3. Substitute r = e + 18 to k, which gives k = e + 48.\n4. Substitute e = x + 2 to k, which gives k = x + 50.\n5. Substitute x = u + 4 to k, which gives k = u + 54.\n6. Substitute u = 3 to k, which gives k = 57.\n\nThus, the final answer is k = \\boxed{57}.",
"index": 6965,
"question": "Suppose a collection of variables is related by the following definitions: q = w + 14; u = 3; e = x + 2; w = d + 9; y = s + 13; f = u + 4; i = q + 6; k = y + 7; d = f + 2; s = r + 10; x = u + 4; r = e + 18; c = i + 6. Given that u = 3, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 14", "x": "k + 3", "u": "x + 18", "l": "u + 5", "w": "l + 14", "g": "w + 11", "m": "z + 3", "v": "m + 3", "t": "v + 16", "o": "t + 11", "a": "o + 13", "r": "a + 10", "z": 18}, "premises": {"z": 18}, "target": "g"}, "answer": {"steps": [["w", "l + 14", "l + 25"], ["l", "u + 5", "u + 30"], ["u", "x + 18", "x + 48"], ["x", "k + 3", "k + 51"], ["k", "z + 14", "z + 65"], ["z", 18, "83"]], "target_var_name": "g", "target_value": 83, "value_dict": {"z": 18}, "is_reverse": true}} | 6,966 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 14; g = w + 11; t = v + 16; r = a + 10; l = u + 5; x = k + 3; u = x + 18; v = m + 3; w = l + 14; z = 18; m = z + 3; a = o + 13; o = t + 11. If z = 18, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 14 to g, which gives g = l + 25.\n2. Substitute l = u + 5 to g, which gives g = u + 30.\n3. Substitute u = x + 18 to g, which gives g = x + 48.\n4. Substitute x = k + 3 to g, which gives g = k + 51.\n5. Substitute k = z + 14 to g, which gives g = z + 65.\n6. Substitute z = 18 to g, which gives g = 83.\n\nThus, the final answer is g = \\boxed{83}.",
"index": 6966,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = z + 14; g = w + 11; t = v + 16; r = a + 10; l = u + 5; x = k + 3; u = x + 18; v = m + 3; w = l + 14; z = 18; m = z + 3; a = o + 13; o = t + 11. If z = 18, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 10", "b": "l + 17", "s": "b + 3", "a": "s + 3", "k": "a + 19", "w": "k + 16", "e": "u + 13", "g": "e + 2", "q": "g + 19", "m": "q + 14", "r": "m + 18", "x": "r + 1", "u": 9}, "premises": {"u": 9}, "target": "w"}, "answer": {"steps": [["k", "a + 19", "a + 35"], ["a", "s + 3", "s + 38"], ["s", "b + 3", "b + 41"], ["b", "l + 17", "l + 58"], ["l", "u + 10", "u + 68"], ["u", 9, "77"]], "target_var_name": "w", "target_value": 77, "value_dict": {"u": 9}, "is_reverse": true}} | 6,967 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = 9; l = u + 10; m = q + 14; q = g + 19; r = m + 18; g = e + 2; x = r + 1; k = a + 19; w = k + 16; b = l + 17; s = b + 3; e = u + 13; a = s + 3. If u = 9, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 19 to w, which gives w = a + 35.\n2. Substitute a = s + 3 to w, which gives w = s + 38.\n3. Substitute s = b + 3 to w, which gives w = b + 41.\n4. Substitute b = l + 17 to w, which gives w = l + 58.\n5. Substitute l = u + 10 to w, which gives w = u + 68.\n6. Substitute u = 9 to w, which gives w = 77.\n\nThus, the final answer is w = \\boxed{77}.",
"index": 6967,
"question": "Consider a system of variables where each variable is defined as follows: u = 9; l = u + 10; m = q + 14; q = g + 19; r = m + 18; g = e + 2; x = r + 1; k = a + 19; w = k + 16; b = l + 17; s = b + 3; e = u + 13; a = s + 3. If u = 9, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "p + 3", "k": "c + 7", "t": "k + 12", "o": "t + 3", "a": "o + 18", "u": "a + 7", "l": "p + 12", "j": "l + 20", "n": "j + 10", "r": "n + 1", "b": "r + 10", "q": "b + 9", "p": 19}, "premises": {"p": 19}, "target": "u"}, "answer": {"steps": [["a", "o + 18", "o + 25"], ["o", "t + 3", "t + 28"], ["t", "k + 12", "k + 40"], ["k", "c + 7", "c + 47"], ["c", "p + 3", "p + 50"], ["p", 19, "69"]], "target_var_name": "u", "target_value": 69, "value_dict": {"p": 19}, "is_reverse": true}} | 6,968 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: p = 19; c = p + 3; q = b + 9; k = c + 7; a = o + 18; u = a + 7; t = k + 12; j = l + 20; n = j + 10; o = t + 3; l = p + 12; b = r + 10; r = n + 1. If p = 19, 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 a = o + 18 to u, which gives u = o + 25.\n2. Substitute o = t + 3 to u, which gives u = t + 28.\n3. Substitute t = k + 12 to u, which gives u = k + 40.\n4. Substitute k = c + 7 to u, which gives u = c + 47.\n5. Substitute c = p + 3 to u, which gives u = p + 50.\n6. Substitute p = 19 to u, which gives u = 69.\n\nThus, the final answer is u = \\boxed{69}.",
"index": 6968,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 19; c = p + 3; q = b + 9; k = c + 7; a = o + 18; u = a + 7; t = k + 12; j = l + 20; n = j + 10; o = t + 3; l = p + 12; b = r + 10; r = n + 1. If p = 19, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"j": "n + 15", "u": "j + 19", "h": "u + 18", "x": "h + 10", "p": "x + 16", "y": "p + 3", "d": "n + 15", "q": "d + 7", "a": "q + 1", "b": "a + 10", "i": "b + 15", "c": "i + 1", "n": 9}, "premises": {"n": 9}, "target": "y"}, "answer": {"steps": [["p", "x + 16", "x + 19"], ["x", "h + 10", "h + 29"], ["h", "u + 18", "u + 47"], ["u", "j + 19", "j + 66"], ["j", "n + 15", "n + 81"], ["n", 9, "90"]], "target_var_name": "y", "target_value": 90, "value_dict": {"n": 9}, "is_reverse": true}} | 6,969 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 16; b = a + 10; a = q + 1; u = j + 19; i = b + 15; c = i + 1; q = d + 7; j = n + 15; h = u + 18; x = h + 10; d = n + 15; y = p + 3; n = 9. If n = 9, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = x + 16 to y, which gives y = x + 19.\n2. Substitute x = h + 10 to y, which gives y = h + 29.\n3. Substitute h = u + 18 to y, which gives y = u + 47.\n4. Substitute u = j + 19 to y, which gives y = j + 66.\n5. Substitute j = n + 15 to y, which gives y = n + 81.\n6. Substitute n = 9 to y, which gives y = 90.\n\nThus, the final answer is y = \\boxed{90}.",
"index": 6969,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 16; b = a + 10; a = q + 1; u = j + 19; i = b + 15; c = i + 1; q = d + 7; j = n + 15; h = u + 18; x = h + 10; d = n + 15; y = p + 3; n = 9. If n = 9, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"c": "y + 7", "o": "c + 5", "q": "o + 19", "x": "q + 2", "t": "x + 6", "r": "t + 11", "k": "y + 16", "m": "k + 11", "f": "m + 10", "l": "f + 4", "j": "l + 15", "v": "j + 7", "y": 15}, "premises": {"y": 15}, "target": "r"}, "answer": {"steps": [["t", "x + 6", "x + 17"], ["x", "q + 2", "q + 19"], ["q", "o + 19", "o + 38"], ["o", "c + 5", "c + 43"], ["c", "y + 7", "y + 50"], ["y", 15, "65"]], "target_var_name": "r", "target_value": 65, "value_dict": {"y": 15}, "is_reverse": true}} | 6,970 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = c + 5; k = y + 16; m = k + 11; j = l + 15; c = y + 7; v = j + 7; r = t + 11; t = x + 6; q = o + 19; y = 15; f = m + 10; x = q + 2; l = f + 4. Given that y = 15, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 6 to r, which gives r = x + 17.\n2. Substitute x = q + 2 to r, which gives r = q + 19.\n3. Substitute q = o + 19 to r, which gives r = o + 38.\n4. Substitute o = c + 5 to r, which gives r = c + 43.\n5. Substitute c = y + 7 to r, which gives r = y + 50.\n6. Substitute y = 15 to r, which gives r = 65.\n\nThus, the final answer is r = \\boxed{65}.",
"index": 6970,
"question": "Suppose a collection of variables is related by the following definitions: o = c + 5; k = y + 16; m = k + 11; j = l + 15; c = y + 7; v = j + 7; r = t + 11; t = x + 6; q = o + 19; y = 15; f = m + 10; x = q + 2; l = f + 4. Given that y = 15, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 4", "y": "v + 4", "d": "y + 7", "r": "d + 16", "j": "r + 20", "b": "j + 7", "h": "c + 11", "g": "h + 6", "k": "g + 12", "m": "k + 17", "s": "m + 11", "i": "s + 20", "c": 10}, "premises": {"c": 10}, "target": "b"}, "answer": {"steps": [["j", "r + 20", "r + 27"], ["r", "d + 16", "d + 43"], ["d", "y + 7", "y + 50"], ["y", "v + 4", "v + 54"], ["v", "c + 4", "c + 58"], ["c", 10, "68"]], "target_var_name": "b", "target_value": 68, "value_dict": {"c": 10}, "is_reverse": true}} | 6,971 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = r + 20; r = d + 16; k = g + 12; h = c + 11; c = 10; g = h + 6; i = s + 20; y = v + 4; d = y + 7; b = j + 7; m = k + 17; s = m + 11; v = c + 4. Given that c = 10, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 20 to b, which gives b = r + 27.\n2. Substitute r = d + 16 to b, which gives b = d + 43.\n3. Substitute d = y + 7 to b, which gives b = y + 50.\n4. Substitute y = v + 4 to b, which gives b = v + 54.\n5. Substitute v = c + 4 to b, which gives b = c + 58.\n6. Substitute c = 10 to b, which gives b = 68.\n\nThus, the final answer is b = \\boxed{68}.",
"index": 6971,
"question": "Suppose a collection of variables is related by the following definitions: j = r + 20; r = d + 16; k = g + 12; h = c + 11; c = 10; g = h + 6; i = s + 20; y = v + 4; d = y + 7; b = j + 7; m = k + 17; s = m + 11; v = c + 4. Given that c = 10, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"v": "e + 10", "n": "v + 19", "g": "n + 19", "b": "g + 14", "z": "b + 14", "d": "z + 1", "c": "e + 4", "u": "c + 2", "o": "u + 10", "y": "o + 1", "h": "y + 13", "i": "h + 6", "e": 4}, "premises": {"e": 4}, "target": "d"}, "answer": {"steps": [["z", "b + 14", "b + 15"], ["b", "g + 14", "g + 29"], ["g", "n + 19", "n + 48"], ["n", "v + 19", "v + 67"], ["v", "e + 10", "e + 77"], ["e", 4, "81"]], "target_var_name": "d", "target_value": 81, "value_dict": {"e": 4}, "is_reverse": true}} | 6,972 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = y + 13; b = g + 14; i = h + 6; o = u + 10; d = z + 1; c = e + 4; g = n + 19; n = v + 19; y = o + 1; e = 4; z = b + 14; u = c + 2; v = e + 10. Given that e = 4, find the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = b + 14 to d, which gives d = b + 15.\n2. Substitute b = g + 14 to d, which gives d = g + 29.\n3. Substitute g = n + 19 to d, which gives d = n + 48.\n4. Substitute n = v + 19 to d, which gives d = v + 67.\n5. Substitute v = e + 10 to d, which gives d = e + 77.\n6. Substitute e = 4 to d, which gives d = 81.\n\nThus, the final answer is d = \\boxed{81}.",
"index": 6972,
"question": "Suppose a collection of variables is related by the following definitions: h = y + 13; b = g + 14; i = h + 6; o = u + 10; d = z + 1; c = e + 4; g = n + 19; n = v + 19; y = o + 1; e = 4; z = b + 14; u = c + 2; v = e + 10. Given that e = 4, find the value of d.",
"split": "train"
} |
{"problem": {"rules": {"d": "n + 4", "z": "d + 12", "w": "z + 18", "b": "w + 19", "x": "b + 6", "m": "x + 20", "v": "n + 7", "r": "v + 15", "l": "r + 2", "s": "l + 3", "h": "s + 2", "p": "h + 2", "n": 2}, "premises": {"n": 2}, "target": "m"}, "answer": {"steps": [["x", "b + 6", "b + 26"], ["b", "w + 19", "w + 45"], ["w", "z + 18", "z + 63"], ["z", "d + 12", "d + 75"], ["d", "n + 4", "n + 79"], ["n", 2, "81"]], "target_var_name": "m", "target_value": 81, "value_dict": {"n": 2}, "is_reverse": true}} | 6,973 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = l + 3; d = n + 4; h = s + 2; x = b + 6; l = r + 2; v = n + 7; w = z + 18; m = x + 20; b = w + 19; n = 2; p = h + 2; z = d + 12; r = v + 15. If n = 2, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 6 to m, which gives m = b + 26.\n2. Substitute b = w + 19 to m, which gives m = w + 45.\n3. Substitute w = z + 18 to m, which gives m = z + 63.\n4. Substitute z = d + 12 to m, which gives m = d + 75.\n5. Substitute d = n + 4 to m, which gives m = n + 79.\n6. Substitute n = 2 to m, which gives m = 81.\n\nThus, the final answer is m = \\boxed{81}.",
"index": 6973,
"question": "Consider a system of variables where each variable is defined as follows: s = l + 3; d = n + 4; h = s + 2; x = b + 6; l = r + 2; v = n + 7; w = z + 18; m = x + 20; b = w + 19; n = 2; p = h + 2; z = d + 12; r = v + 15. If n = 2, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 16", "j": "y + 15", "w": "j + 15", "a": "w + 10", "c": "a + 12", "n": "c + 10", "o": "f + 19", "q": "o + 12", "u": "q + 14", "e": "u + 4", "b": "e + 10", "d": "b + 5", "f": 11}, "premises": {"f": 11}, "target": "n"}, "answer": {"steps": [["c", "a + 12", "a + 22"], ["a", "w + 10", "w + 32"], ["w", "j + 15", "j + 47"], ["j", "y + 15", "y + 62"], ["y", "f + 16", "f + 78"], ["f", 11, "89"]], "target_var_name": "n", "target_value": 89, "value_dict": {"f": 11}, "is_reverse": true}} | 6,974 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = 11; j = y + 15; y = f + 16; e = u + 4; a = w + 10; w = j + 15; q = o + 12; n = c + 10; d = b + 5; o = f + 19; c = a + 12; b = e + 10; u = q + 14. Given that f = 11, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = a + 12 to n, which gives n = a + 22.\n2. Substitute a = w + 10 to n, which gives n = w + 32.\n3. Substitute w = j + 15 to n, which gives n = j + 47.\n4. Substitute j = y + 15 to n, which gives n = y + 62.\n5. Substitute y = f + 16 to n, which gives n = f + 78.\n6. Substitute f = 11 to n, which gives n = 89.\n\nThus, the final answer is n = \\boxed{89}.",
"index": 6974,
"question": "Suppose a collection of variables is related by the following definitions: f = 11; j = y + 15; y = f + 16; e = u + 4; a = w + 10; w = j + 15; q = o + 12; n = c + 10; d = b + 5; o = f + 19; c = a + 12; b = e + 10; u = q + 14. Given that f = 11, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"s": "e + 20", "f": "s + 19", "w": "f + 15", "o": "w + 17", "v": "o + 12", "r": "v + 4", "b": "e + 16", "j": "b + 16", "p": "j + 5", "i": "p + 14", "q": "i + 19", "g": "q + 12", "e": 13}, "premises": {"e": 13}, "target": "r"}, "answer": {"steps": [["v", "o + 12", "o + 16"], ["o", "w + 17", "w + 33"], ["w", "f + 15", "f + 48"], ["f", "s + 19", "s + 67"], ["s", "e + 20", "e + 87"], ["e", 13, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"e": 13}, "is_reverse": true}} | 6,975 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 4; v = o + 12; w = f + 15; q = i + 19; p = j + 5; i = p + 14; j = b + 16; b = e + 16; g = q + 12; s = e + 20; f = s + 19; e = 13; o = w + 17. If e = 13, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 100,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = o + 12 to r, which gives r = o + 16.\n2. Substitute o = w + 17 to r, which gives r = w + 33.\n3. Substitute w = f + 15 to r, which gives r = f + 48.\n4. Substitute f = s + 19 to r, which gives r = s + 67.\n5. Substitute s = e + 20 to r, which gives r = e + 87.\n6. Substitute e = 13 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 6975,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = v + 4; v = o + 12; w = f + 15; q = i + 19; p = j + 5; i = p + 14; j = b + 16; b = e + 16; g = q + 12; s = e + 20; f = s + 19; e = 13; o = w + 17. If e = 13, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"f": "k + 5", "y": "f + 8", "j": "y + 3", "c": "j + 4", "i": "c + 7", "v": "i + 9", "r": "k + 4", "x": "r + 2", "e": "x + 19", "p": "e + 11", "w": "p + 18", "n": "w + 1", "k": 15}, "premises": {"k": 15}, "target": "v"}, "answer": {"steps": [["i", "c + 7", "c + 16"], ["c", "j + 4", "j + 20"], ["j", "y + 3", "y + 23"], ["y", "f + 8", "f + 31"], ["f", "k + 5", "k + 36"], ["k", 15, "51"]], "target_var_name": "v", "target_value": 51, "value_dict": {"k": 15}, "is_reverse": true}} | 6,976 | 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 + 18; k = 15; f = k + 5; y = f + 8; i = c + 7; p = e + 11; c = j + 4; x = r + 2; e = x + 19; n = w + 1; j = y + 3; r = k + 4; v = i + 9. If k = 15, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 7 to v, which gives v = c + 16.\n2. Substitute c = j + 4 to v, which gives v = j + 20.\n3. Substitute j = y + 3 to v, which gives v = y + 23.\n4. Substitute y = f + 8 to v, which gives v = f + 31.\n5. Substitute f = k + 5 to v, which gives v = k + 36.\n6. Substitute k = 15 to v, which gives v = 51.\n\nThus, the final answer is v = \\boxed{51}.",
"index": 6976,
"question": "Consider a system of variables where each variable is defined as follows: w = p + 18; k = 15; f = k + 5; y = f + 8; i = c + 7; p = e + 11; c = j + 4; x = r + 2; e = x + 19; n = w + 1; j = y + 3; r = k + 4; v = i + 9. If k = 15, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"f": "b + 18", "v": "f + 5", "u": "v + 9", "y": "u + 18", "i": "y + 16", "q": "i + 13", "o": "b + 19", "j": "o + 1", "m": "j + 7", "d": "m + 13", "n": "d + 3", "a": "n + 5", "b": 2}, "premises": {"b": 2}, "target": "q"}, "answer": {"steps": [["i", "y + 16", "y + 29"], ["y", "u + 18", "u + 47"], ["u", "v + 9", "v + 56"], ["v", "f + 5", "f + 61"], ["f", "b + 18", "b + 79"], ["b", 2, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"b": 2}, "is_reverse": true}} | 6,977 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = f + 5; q = i + 13; d = m + 13; a = n + 5; o = b + 19; b = 2; m = j + 7; u = v + 9; y = u + 18; i = y + 16; f = b + 18; j = o + 1; n = d + 3. Given that b = 2, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = y + 16 to q, which gives q = y + 29.\n2. Substitute y = u + 18 to q, which gives q = u + 47.\n3. Substitute u = v + 9 to q, which gives q = v + 56.\n4. Substitute v = f + 5 to q, which gives q = f + 61.\n5. Substitute f = b + 18 to q, which gives q = b + 79.\n6. Substitute b = 2 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 6977,
"question": "Suppose a collection of variables is related by the following definitions: v = f + 5; q = i + 13; d = m + 13; a = n + 5; o = b + 19; b = 2; m = j + 7; u = v + 9; y = u + 18; i = y + 16; f = b + 18; j = o + 1; n = d + 3. Given that b = 2, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"d": "e + 3", "t": "d + 13", "f": "t + 6", "g": "f + 16", "l": "g + 11", "j": "l + 16", "c": "e + 10", "q": "c + 9", "r": "q + 4", "w": "r + 2", "o": "w + 2", "i": "o + 8", "e": 16}, "premises": {"e": 16}, "target": "j"}, "answer": {"steps": [["l", "g + 11", "g + 27"], ["g", "f + 16", "f + 43"], ["f", "t + 6", "t + 49"], ["t", "d + 13", "d + 62"], ["d", "e + 3", "e + 65"], ["e", 16, "81"]], "target_var_name": "j", "target_value": 81, "value_dict": {"e": 16}, "is_reverse": true}} | 6,978 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = t + 6; c = e + 10; g = f + 16; w = r + 2; l = g + 11; i = o + 8; r = q + 4; o = w + 2; q = c + 9; j = l + 16; d = e + 3; t = d + 13; e = 16. If e = 16, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = g + 11 to j, which gives j = g + 27.\n2. Substitute g = f + 16 to j, which gives j = f + 43.\n3. Substitute f = t + 6 to j, which gives j = t + 49.\n4. Substitute t = d + 13 to j, which gives j = d + 62.\n5. Substitute d = e + 3 to j, which gives j = e + 65.\n6. Substitute e = 16 to j, which gives j = 81.\n\nThus, the final answer is j = \\boxed{81}.",
"index": 6978,
"question": "Consider a system of variables where each variable is defined as follows: f = t + 6; c = e + 10; g = f + 16; w = r + 2; l = g + 11; i = o + 8; r = q + 4; o = w + 2; q = c + 9; j = l + 16; d = e + 3; t = d + 13; e = 16. If e = 16, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"k": "n + 17", "x": "k + 13", "c": "x + 4", "u": "c + 7", "j": "u + 5", "w": "j + 20", "h": "n + 13", "q": "h + 12", "s": "q + 10", "r": "s + 10", "i": "r + 6", "g": "i + 11", "n": 16}, "premises": {"n": 16}, "target": "w"}, "answer": {"steps": [["j", "u + 5", "u + 25"], ["u", "c + 7", "c + 32"], ["c", "x + 4", "x + 36"], ["x", "k + 13", "k + 49"], ["k", "n + 17", "n + 66"], ["n", 16, "82"]], "target_var_name": "w", "target_value": 82, "value_dict": {"n": 16}, "is_reverse": true}} | 6,979 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = i + 11; x = k + 13; q = h + 12; w = j + 20; i = r + 6; j = u + 5; c = x + 4; h = n + 13; r = s + 10; n = 16; s = q + 10; k = n + 17; u = c + 7. Given that n = 16, find 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 j = u + 5 to w, which gives w = u + 25.\n2. Substitute u = c + 7 to w, which gives w = c + 32.\n3. Substitute c = x + 4 to w, which gives w = x + 36.\n4. Substitute x = k + 13 to w, which gives w = k + 49.\n5. Substitute k = n + 17 to w, which gives w = n + 66.\n6. Substitute n = 16 to w, which gives w = 82.\n\nThus, the final answer is w = \\boxed{82}.",
"index": 6979,
"question": "Suppose a collection of variables is related by the following definitions: g = i + 11; x = k + 13; q = h + 12; w = j + 20; i = r + 6; j = u + 5; c = x + 4; h = n + 13; r = s + 10; n = 16; s = q + 10; k = n + 17; u = c + 7. Given that n = 16, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"e": "x + 12", "c": "e + 11", "r": "c + 18", "y": "r + 7", "q": "y + 14", "p": "q + 14", "u": "x + 20", "v": "u + 11", "w": "v + 16", "t": "w + 12", "i": "t + 2", "a": "i + 13", "x": 2}, "premises": {"x": 2}, "target": "p"}, "answer": {"steps": [["q", "y + 14", "y + 28"], ["y", "r + 7", "r + 35"], ["r", "c + 18", "c + 53"], ["c", "e + 11", "e + 64"], ["e", "x + 12", "x + 76"], ["x", 2, "78"]], "target_var_name": "p", "target_value": 78, "value_dict": {"x": 2}, "is_reverse": true}} | 6,980 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = i + 13; w = v + 16; p = q + 14; c = e + 11; v = u + 11; y = r + 7; q = y + 14; x = 2; e = x + 12; u = x + 20; t = w + 12; i = t + 2; r = c + 18. If x = 2, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = y + 14 to p, which gives p = y + 28.\n2. Substitute y = r + 7 to p, which gives p = r + 35.\n3. Substitute r = c + 18 to p, which gives p = c + 53.\n4. Substitute c = e + 11 to p, which gives p = e + 64.\n5. Substitute e = x + 12 to p, which gives p = x + 76.\n6. Substitute x = 2 to p, which gives p = 78.\n\nThus, the final answer is p = \\boxed{78}.",
"index": 6980,
"question": "Consider a system of variables where each variable is defined as follows: a = i + 13; w = v + 16; p = q + 14; c = e + 11; v = u + 11; y = r + 7; q = y + 14; x = 2; e = x + 12; u = x + 20; t = w + 12; i = t + 2; r = c + 18. If x = 2, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"f": "j + 3", "u": "f + 8", "v": "u + 18", "n": "v + 18", "l": "n + 17", "c": "l + 16", "g": "j + 17", "t": "g + 1", "w": "t + 3", "s": "w + 15", "x": "s + 11", "h": "x + 4", "j": 19}, "premises": {"j": 19}, "target": "c"}, "answer": {"steps": [["l", "n + 17", "n + 33"], ["n", "v + 18", "v + 51"], ["v", "u + 18", "u + 69"], ["u", "f + 8", "f + 77"], ["f", "j + 3", "j + 80"], ["j", 19, "99"]], "target_var_name": "c", "target_value": 99, "value_dict": {"j": 19}, "is_reverse": true}} | 6,981 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = l + 16; w = t + 3; j = 19; u = f + 8; x = s + 11; h = x + 4; l = n + 17; t = g + 1; s = w + 15; n = v + 18; v = u + 18; g = j + 17; f = j + 3. Given that j = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 17 to c, which gives c = n + 33.\n2. Substitute n = v + 18 to c, which gives c = v + 51.\n3. Substitute v = u + 18 to c, which gives c = u + 69.\n4. Substitute u = f + 8 to c, which gives c = f + 77.\n5. Substitute f = j + 3 to c, which gives c = j + 80.\n6. Substitute j = 19 to c, which gives c = 99.\n\nThus, the final answer is c = \\boxed{99}.",
"index": 6981,
"question": "Suppose a collection of variables is related by the following definitions: c = l + 16; w = t + 3; j = 19; u = f + 8; x = s + 11; h = x + 4; l = n + 17; t = g + 1; s = w + 15; n = v + 18; v = u + 18; g = j + 17; f = j + 3. Given that j = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"i": "e + 19", "t": "i + 17", "m": "t + 12", "n": "m + 3", "y": "n + 3", "b": "y + 5", "q": "e + 10", "d": "q + 2", "v": "d + 16", "z": "v + 2", "g": "z + 1", "w": "g + 17", "e": 15}, "premises": {"e": 15}, "target": "b"}, "answer": {"steps": [["y", "n + 3", "n + 8"], ["n", "m + 3", "m + 11"], ["m", "t + 12", "t + 23"], ["t", "i + 17", "i + 40"], ["i", "e + 19", "e + 59"], ["e", 15, "74"]], "target_var_name": "b", "target_value": 74, "value_dict": {"e": 15}, "is_reverse": true}} | 6,982 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 3; v = d + 16; m = t + 12; g = z + 1; e = 15; z = v + 2; b = y + 5; y = n + 3; q = e + 10; w = g + 17; d = q + 2; i = e + 19; t = i + 17. Given that e = 15, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = n + 3 to b, which gives b = n + 8.\n2. Substitute n = m + 3 to b, which gives b = m + 11.\n3. Substitute m = t + 12 to b, which gives b = t + 23.\n4. Substitute t = i + 17 to b, which gives b = i + 40.\n5. Substitute i = e + 19 to b, which gives b = e + 59.\n6. Substitute e = 15 to b, which gives b = 74.\n\nThus, the final answer is b = \\boxed{74}.",
"index": 6982,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 3; v = d + 16; m = t + 12; g = z + 1; e = 15; z = v + 2; b = y + 5; y = n + 3; q = e + 10; w = g + 17; d = q + 2; i = e + 19; t = i + 17. Given that e = 15, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"k": "h + 15", "i": "k + 18", "v": "i + 16", "l": "v + 12", "y": "l + 16", "a": "y + 2", "f": "h + 17", "z": "f + 13", "c": "z + 15", "j": "c + 14", "o": "j + 12", "s": "o + 20", "h": 11}, "premises": {"h": 11}, "target": "a"}, "answer": {"steps": [["y", "l + 16", "l + 18"], ["l", "v + 12", "v + 30"], ["v", "i + 16", "i + 46"], ["i", "k + 18", "k + 64"], ["k", "h + 15", "h + 79"], ["h", 11, "90"]], "target_var_name": "a", "target_value": 90, "value_dict": {"h": 11}, "is_reverse": true}} | 6,983 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 16; v = i + 16; f = h + 17; l = v + 12; i = k + 18; o = j + 12; c = z + 15; a = y + 2; k = h + 15; z = f + 13; h = 11; j = c + 14; s = o + 20. If h = 11, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 16 to a, which gives a = l + 18.\n2. Substitute l = v + 12 to a, which gives a = v + 30.\n3. Substitute v = i + 16 to a, which gives a = i + 46.\n4. Substitute i = k + 18 to a, which gives a = k + 64.\n5. Substitute k = h + 15 to a, which gives a = h + 79.\n6. Substitute h = 11 to a, which gives a = 90.\n\nThus, the final answer is a = \\boxed{90}.",
"index": 6983,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = l + 16; v = i + 16; f = h + 17; l = v + 12; i = k + 18; o = j + 12; c = z + 15; a = y + 2; k = h + 15; z = f + 13; h = 11; j = c + 14; s = o + 20. If h = 11, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"m": "r + 2", "d": "m + 2", "y": "d + 8", "p": "y + 18", "x": "p + 17", "j": "x + 3", "c": "r + 13", "k": "c + 7", "i": "k + 5", "q": "i + 19", "v": "q + 19", "n": "v + 13", "r": 6}, "premises": {"r": 6}, "target": "j"}, "answer": {"steps": [["x", "p + 17", "p + 20"], ["p", "y + 18", "y + 38"], ["y", "d + 8", "d + 46"], ["d", "m + 2", "m + 48"], ["m", "r + 2", "r + 50"], ["r", 6, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"r": 6}, "is_reverse": true}} | 6,984 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = d + 8; q = i + 19; m = r + 2; k = c + 7; d = m + 2; r = 6; v = q + 19; x = p + 17; c = r + 13; n = v + 13; p = y + 18; j = x + 3; i = k + 5. If r = 6, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 17 to j, which gives j = p + 20.\n2. Substitute p = y + 18 to j, which gives j = y + 38.\n3. Substitute y = d + 8 to j, which gives j = d + 46.\n4. Substitute d = m + 2 to j, which gives j = m + 48.\n5. Substitute m = r + 2 to j, which gives j = r + 50.\n6. Substitute r = 6 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 6984,
"question": "Consider a system of variables where each variable is defined as follows: y = d + 8; q = i + 19; m = r + 2; k = c + 7; d = m + 2; r = 6; v = q + 19; x = p + 17; c = r + 13; n = v + 13; p = y + 18; j = x + 3; i = k + 5. If r = 6, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"o": "b + 15", "n": "o + 17", "h": "n + 16", "q": "h + 9", "z": "q + 19", "a": "z + 9", "l": "b + 16", "d": "l + 17", "x": "d + 18", "c": "x + 5", "v": "c + 18", "j": "v + 8", "b": 13}, "premises": {"b": 13}, "target": "a"}, "answer": {"steps": [["z", "q + 19", "q + 28"], ["q", "h + 9", "h + 37"], ["h", "n + 16", "n + 53"], ["n", "o + 17", "o + 70"], ["o", "b + 15", "b + 85"], ["b", 13, "98"]], "target_var_name": "a", "target_value": 98, "value_dict": {"b": 13}, "is_reverse": true}} | 6,985 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = d + 18; c = x + 5; n = o + 17; h = n + 16; d = l + 17; o = b + 15; z = q + 19; j = v + 8; l = b + 16; b = 13; a = z + 9; v = c + 18; q = h + 9. Given that b = 13, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 19 to a, which gives a = q + 28.\n2. Substitute q = h + 9 to a, which gives a = h + 37.\n3. Substitute h = n + 16 to a, which gives a = n + 53.\n4. Substitute n = o + 17 to a, which gives a = o + 70.\n5. Substitute o = b + 15 to a, which gives a = b + 85.\n6. Substitute b = 13 to a, which gives a = 98.\n\nThus, the final answer is a = \\boxed{98}.",
"index": 6985,
"question": "Suppose a collection of variables is related by the following definitions: x = d + 18; c = x + 5; n = o + 17; h = n + 16; d = l + 17; o = b + 15; z = q + 19; j = v + 8; l = b + 16; b = 13; a = z + 9; v = c + 18; q = h + 9. Given that b = 13, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 8", "u": "q + 2", "j": "u + 20", "b": "j + 4", "w": "b + 11", "k": "w + 2", "f": "t + 1", "i": "f + 2", "x": "i + 17", "y": "x + 9", "n": "y + 15", "l": "n + 13", "t": 16}, "premises": {"t": 16}, "target": "k"}, "answer": {"steps": [["w", "b + 11", "b + 13"], ["b", "j + 4", "j + 17"], ["j", "u + 20", "u + 37"], ["u", "q + 2", "q + 39"], ["q", "t + 8", "t + 47"], ["t", 16, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"t": 16}, "is_reverse": true}} | 6,986 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: w = b + 11; u = q + 2; k = w + 2; l = n + 13; f = t + 1; y = x + 9; x = i + 17; n = y + 15; q = t + 8; b = j + 4; t = 16; j = u + 20; i = f + 2. If t = 16, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 11 to k, which gives k = b + 13.\n2. Substitute b = j + 4 to k, which gives k = j + 17.\n3. Substitute j = u + 20 to k, which gives k = u + 37.\n4. Substitute u = q + 2 to k, which gives k = q + 39.\n5. Substitute q = t + 8 to k, which gives k = t + 47.\n6. Substitute t = 16 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 6986,
"question": "Consider a system of variables where each variable is defined as follows: w = b + 11; u = q + 2; k = w + 2; l = n + 13; f = t + 1; y = x + 9; x = i + 17; n = y + 15; q = t + 8; b = j + 4; t = 16; j = u + 20; i = f + 2. If t = 16, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "z + 14", "v": "u + 3", "g": "v + 9", "s": "g + 2", "p": "s + 6", "f": "p + 19", "t": "z + 14", "i": "t + 11", "a": "i + 10", "n": "a + 10", "q": "n + 14", "m": "q + 17", "z": 9}, "premises": {"z": 9}, "target": "f"}, "answer": {"steps": [["p", "s + 6", "s + 25"], ["s", "g + 2", "g + 27"], ["g", "v + 9", "v + 36"], ["v", "u + 3", "u + 39"], ["u", "z + 14", "z + 53"], ["z", 9, "62"]], "target_var_name": "f", "target_value": 62, "value_dict": {"z": 9}, "is_reverse": true}} | 6,987 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = n + 14; s = g + 2; u = z + 14; n = a + 10; g = v + 9; v = u + 3; p = s + 6; a = i + 10; m = q + 17; f = p + 19; z = 9; t = z + 14; i = t + 11. If z = 9, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = s + 6 to f, which gives f = s + 25.\n2. Substitute s = g + 2 to f, which gives f = g + 27.\n3. Substitute g = v + 9 to f, which gives f = v + 36.\n4. Substitute v = u + 3 to f, which gives f = u + 39.\n5. Substitute u = z + 14 to f, which gives f = z + 53.\n6. Substitute z = 9 to f, which gives f = 62.\n\nThus, the final answer is f = \\boxed{62}.",
"index": 6987,
"question": "Consider a system of variables where each variable is defined as follows: q = n + 14; s = g + 2; u = z + 14; n = a + 10; g = v + 9; v = u + 3; p = s + 6; a = i + 10; m = q + 17; f = p + 19; z = 9; t = z + 14; i = t + 11. If z = 9, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"f": "p + 2", "o": "f + 3", "h": "o + 20", "x": "h + 16", "z": "x + 13", "a": "z + 15", "n": "p + 12", "t": "n + 10", "g": "t + 16", "s": "g + 15", "u": "s + 2", "i": "u + 14", "p": 3}, "premises": {"p": 3}, "target": "a"}, "answer": {"steps": [["z", "x + 13", "x + 28"], ["x", "h + 16", "h + 44"], ["h", "o + 20", "o + 64"], ["o", "f + 3", "f + 67"], ["f", "p + 2", "p + 69"], ["p", 3, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"p": 3}, "is_reverse": true}} | 6,988 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = x + 13; s = g + 15; x = h + 16; a = z + 15; n = p + 12; f = p + 2; i = u + 14; g = t + 16; h = o + 20; p = 3; t = n + 10; u = s + 2; o = f + 3. If p = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = x + 13 to a, which gives a = x + 28.\n2. Substitute x = h + 16 to a, which gives a = h + 44.\n3. Substitute h = o + 20 to a, which gives a = o + 64.\n4. Substitute o = f + 3 to a, which gives a = f + 67.\n5. Substitute f = p + 2 to a, which gives a = p + 69.\n6. Substitute p = 3 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 6988,
"question": "Consider a system of variables where each variable is defined as follows: z = x + 13; s = g + 15; x = h + 16; a = z + 15; n = p + 12; f = p + 2; i = u + 14; g = t + 16; h = o + 20; p = 3; t = n + 10; u = s + 2; o = f + 3. If p = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"i": "a + 10", "g": "i + 16", "f": "g + 15", "o": "f + 4", "e": "o + 7", "l": "e + 5", "v": "a + 15", "b": "v + 14", "q": "b + 15", "k": "q + 20", "j": "k + 15", "c": "j + 5", "a": 3}, "premises": {"a": 3}, "target": "l"}, "answer": {"steps": [["e", "o + 7", "o + 12"], ["o", "f + 4", "f + 16"], ["f", "g + 15", "g + 31"], ["g", "i + 16", "i + 47"], ["i", "a + 10", "a + 57"], ["a", 3, "60"]], "target_var_name": "l", "target_value": 60, "value_dict": {"a": 3}, "is_reverse": true}} | 6,989 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = a + 10; c = j + 5; q = b + 15; o = f + 4; j = k + 15; l = e + 5; a = 3; g = i + 16; v = a + 15; k = q + 20; e = o + 7; f = g + 15; b = v + 14. If a = 3, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = o + 7 to l, which gives l = o + 12.\n2. Substitute o = f + 4 to l, which gives l = f + 16.\n3. Substitute f = g + 15 to l, which gives l = g + 31.\n4. Substitute g = i + 16 to l, which gives l = i + 47.\n5. Substitute i = a + 10 to l, which gives l = a + 57.\n6. Substitute a = 3 to l, which gives l = 60.\n\nThus, the final answer is l = \\boxed{60}.",
"index": 6989,
"question": "Consider a system of variables where each variable is defined as follows: i = a + 10; c = j + 5; q = b + 15; o = f + 4; j = k + 15; l = e + 5; a = 3; g = i + 16; v = a + 15; k = q + 20; e = o + 7; f = g + 15; b = v + 14. If a = 3, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "i + 8", "k": "y + 1", "x": "k + 6", "h": "x + 4", "r": "h + 4", "s": "r + 15", "v": "i + 1", "d": "v + 5", "n": "d + 17", "c": "n + 14", "p": "c + 19", "e": "p + 17", "i": 6}, "premises": {"i": 6}, "target": "s"}, "answer": {"steps": [["r", "h + 4", "h + 19"], ["h", "x + 4", "x + 23"], ["x", "k + 6", "k + 29"], ["k", "y + 1", "y + 30"], ["y", "i + 8", "i + 38"], ["i", 6, "44"]], "target_var_name": "s", "target_value": 44, "value_dict": {"i": 6}, "is_reverse": true}} | 6,990 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = h + 4; k = y + 1; n = d + 17; p = c + 19; x = k + 6; d = v + 5; h = x + 4; y = i + 8; c = n + 14; v = i + 1; e = p + 17; i = 6; s = r + 15. Given that i = 6, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = h + 4 to s, which gives s = h + 19.\n2. Substitute h = x + 4 to s, which gives s = x + 23.\n3. Substitute x = k + 6 to s, which gives s = k + 29.\n4. Substitute k = y + 1 to s, which gives s = y + 30.\n5. Substitute y = i + 8 to s, which gives s = i + 38.\n6. Substitute i = 6 to s, which gives s = 44.\n\nThus, the final answer is s = \\boxed{44}.",
"index": 6990,
"question": "Suppose a collection of variables is related by the following definitions: r = h + 4; k = y + 1; n = d + 17; p = c + 19; x = k + 6; d = v + 5; h = x + 4; y = i + 8; c = n + 14; v = i + 1; e = p + 17; i = 6; s = r + 15. Given that i = 6, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 14", "l": "n + 6", "q": "l + 11", "c": "q + 2", "i": "c + 19", "z": "i + 3", "p": "t + 8", "f": "p + 2", "g": "f + 5", "y": "g + 3", "k": "y + 15", "d": "k + 15", "t": 12}, "premises": {"t": 12}, "target": "z"}, "answer": {"steps": [["i", "c + 19", "c + 22"], ["c", "q + 2", "q + 24"], ["q", "l + 11", "l + 35"], ["l", "n + 6", "n + 41"], ["n", "t + 14", "t + 55"], ["t", 12, "67"]], "target_var_name": "z", "target_value": 67, "value_dict": {"t": 12}, "is_reverse": true}} | 6,991 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = l + 11; p = t + 8; t = 12; y = g + 3; i = c + 19; l = n + 6; n = t + 14; c = q + 2; d = k + 15; g = f + 5; z = i + 3; f = p + 2; k = y + 15. If t = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = c + 19 to z, which gives z = c + 22.\n2. Substitute c = q + 2 to z, which gives z = q + 24.\n3. Substitute q = l + 11 to z, which gives z = l + 35.\n4. Substitute l = n + 6 to z, which gives z = n + 41.\n5. Substitute n = t + 14 to z, which gives z = t + 55.\n6. Substitute t = 12 to z, which gives z = 67.\n\nThus, the final answer is z = \\boxed{67}.",
"index": 6991,
"question": "Consider a system of variables where each variable is defined as follows: q = l + 11; p = t + 8; t = 12; y = g + 3; i = c + 19; l = n + 6; n = t + 14; c = q + 2; d = k + 15; g = f + 5; z = i + 3; f = p + 2; k = y + 15. If t = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"n": "e + 6", "x": "n + 20", "i": "x + 12", "a": "i + 13", "s": "a + 9", "k": "s + 2", "z": "e + 7", "f": "z + 1", "d": "f + 3", "r": "d + 6", "m": "r + 8", "p": "m + 16", "e": 12}, "premises": {"e": 12}, "target": "k"}, "answer": {"steps": [["s", "a + 9", "a + 11"], ["a", "i + 13", "i + 24"], ["i", "x + 12", "x + 36"], ["x", "n + 20", "n + 56"], ["n", "e + 6", "e + 62"], ["e", 12, "74"]], "target_var_name": "k", "target_value": 74, "value_dict": {"e": 12}, "is_reverse": true}} | 6,992 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = f + 3; i = x + 12; s = a + 9; m = r + 8; r = d + 6; z = e + 7; a = i + 13; f = z + 1; k = s + 2; p = m + 16; n = e + 6; x = n + 20; e = 12. Given that e = 12, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 9 to k, which gives k = a + 11.\n2. Substitute a = i + 13 to k, which gives k = i + 24.\n3. Substitute i = x + 12 to k, which gives k = x + 36.\n4. Substitute x = n + 20 to k, which gives k = n + 56.\n5. Substitute n = e + 6 to k, which gives k = e + 62.\n6. Substitute e = 12 to k, which gives k = 74.\n\nThus, the final answer is k = \\boxed{74}.",
"index": 6992,
"question": "Suppose a collection of variables is related by the following definitions: d = f + 3; i = x + 12; s = a + 9; m = r + 8; r = d + 6; z = e + 7; a = i + 13; f = z + 1; k = s + 2; p = m + 16; n = e + 6; x = n + 20; e = 12. Given that e = 12, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"u": "h + 16", "y": "u + 17", "l": "y + 8", "v": "l + 7", "r": "v + 6", "m": "r + 18", "w": "h + 8", "t": "w + 3", "o": "t + 9", "f": "o + 13", "e": "f + 19", "x": "e + 11", "h": 10}, "premises": {"h": 10}, "target": "m"}, "answer": {"steps": [["r", "v + 6", "v + 24"], ["v", "l + 7", "l + 31"], ["l", "y + 8", "y + 39"], ["y", "u + 17", "u + 56"], ["u", "h + 16", "h + 72"], ["h", 10, "82"]], "target_var_name": "m", "target_value": 82, "value_dict": {"h": 10}, "is_reverse": true}} | 6,993 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = r + 18; h = 10; u = h + 16; v = l + 7; t = w + 3; y = u + 17; f = o + 13; o = t + 9; e = f + 19; r = v + 6; x = e + 11; w = h + 8; l = y + 8. If h = 10, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 6 to m, which gives m = v + 24.\n2. Substitute v = l + 7 to m, which gives m = l + 31.\n3. Substitute l = y + 8 to m, which gives m = y + 39.\n4. Substitute y = u + 17 to m, which gives m = u + 56.\n5. Substitute u = h + 16 to m, which gives m = h + 72.\n6. Substitute h = 10 to m, which gives m = 82.\n\nThus, the final answer is m = \\boxed{82}.",
"index": 6993,
"question": "Consider a system of variables where each variable is defined as follows: m = r + 18; h = 10; u = h + 16; v = l + 7; t = w + 3; y = u + 17; f = o + 13; o = t + 9; e = f + 19; r = v + 6; x = e + 11; w = h + 8; l = y + 8. If h = 10, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"x": "r + 16", "k": "x + 2", "c": "k + 10", "t": "c + 11", "g": "t + 14", "s": "g + 10", "h": "r + 15", "y": "h + 5", "q": "y + 10", "m": "q + 3", "z": "m + 3", "d": "z + 13", "r": 3}, "premises": {"r": 3}, "target": "s"}, "answer": {"steps": [["g", "t + 14", "t + 24"], ["t", "c + 11", "c + 35"], ["c", "k + 10", "k + 45"], ["k", "x + 2", "x + 47"], ["x", "r + 16", "r + 63"], ["r", 3, "66"]], "target_var_name": "s", "target_value": 66, "value_dict": {"r": 3}, "is_reverse": true}} | 6,994 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 2; s = g + 10; c = k + 10; x = r + 16; g = t + 14; q = y + 10; y = h + 5; z = m + 3; h = r + 15; m = q + 3; d = z + 13; t = c + 11; r = 3. If r = 3, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 14 to s, which gives s = t + 24.\n2. Substitute t = c + 11 to s, which gives s = c + 35.\n3. Substitute c = k + 10 to s, which gives s = k + 45.\n4. Substitute k = x + 2 to s, which gives s = x + 47.\n5. Substitute x = r + 16 to s, which gives s = r + 63.\n6. Substitute r = 3 to s, which gives s = 66.\n\nThus, the final answer is s = \\boxed{66}.",
"index": 6994,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = x + 2; s = g + 10; c = k + 10; x = r + 16; g = t + 14; q = y + 10; y = h + 5; z = m + 3; h = r + 15; m = q + 3; d = z + 13; t = c + 11; r = 3. If r = 3, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"j": "t + 12", "z": "j + 17", "m": "z + 18", "s": "m + 10", "a": "s + 13", "q": "a + 15", "x": "t + 11", "l": "x + 4", "c": "l + 1", "k": "c + 8", "e": "k + 9", "b": "e + 8", "t": 7}, "premises": {"t": 7}, "target": "q"}, "answer": {"steps": [["a", "s + 13", "s + 28"], ["s", "m + 10", "m + 38"], ["m", "z + 18", "z + 56"], ["z", "j + 17", "j + 73"], ["j", "t + 12", "t + 85"], ["t", 7, "92"]], "target_var_name": "q", "target_value": 92, "value_dict": {"t": 7}, "is_reverse": true}} | 6,995 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: a = s + 13; z = j + 17; s = m + 10; m = z + 18; t = 7; b = e + 8; e = k + 9; j = t + 12; l = x + 4; x = t + 11; c = l + 1; k = c + 8; q = a + 15. Given that t = 7, find the 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 a = s + 13 to q, which gives q = s + 28.\n2. Substitute s = m + 10 to q, which gives q = m + 38.\n3. Substitute m = z + 18 to q, which gives q = z + 56.\n4. Substitute z = j + 17 to q, which gives q = j + 73.\n5. Substitute j = t + 12 to q, which gives q = t + 85.\n6. Substitute t = 7 to q, which gives q = 92.\n\nThus, the final answer is q = \\boxed{92}.",
"index": 6995,
"question": "Suppose a collection of variables is related by the following definitions: a = s + 13; z = j + 17; s = m + 10; m = z + 18; t = 7; b = e + 8; e = k + 9; j = t + 12; l = x + 4; x = t + 11; c = l + 1; k = c + 8; q = a + 15. Given that t = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"n": "f + 14", "x": "n + 1", "h": "x + 19", "c": "h + 8", "m": "c + 16", "d": "m + 2", "r": "f + 9", "g": "r + 4", "u": "g + 17", "w": "u + 4", "t": "w + 7", "z": "t + 13", "f": 16}, "premises": {"f": 16}, "target": "d"}, "answer": {"steps": [["m", "c + 16", "c + 18"], ["c", "h + 8", "h + 26"], ["h", "x + 19", "x + 45"], ["x", "n + 1", "n + 46"], ["n", "f + 14", "f + 60"], ["f", 16, "76"]], "target_var_name": "d", "target_value": 76, "value_dict": {"f": 16}, "is_reverse": true}} | 6,996 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = f + 14; u = g + 17; z = t + 13; r = f + 9; g = r + 4; f = 16; c = h + 8; w = u + 4; t = w + 7; h = x + 19; m = c + 16; d = m + 2; x = n + 1. If f = 16, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = c + 16 to d, which gives d = c + 18.\n2. Substitute c = h + 8 to d, which gives d = h + 26.\n3. Substitute h = x + 19 to d, which gives d = x + 45.\n4. Substitute x = n + 1 to d, which gives d = n + 46.\n5. Substitute n = f + 14 to d, which gives d = f + 60.\n6. Substitute f = 16 to d, which gives d = 76.\n\nThus, the final answer is d = \\boxed{76}.",
"index": 6996,
"question": "Consider a system of variables where each variable is defined as follows: n = f + 14; u = g + 17; z = t + 13; r = f + 9; g = r + 4; f = 16; c = h + 8; w = u + 4; t = w + 7; h = x + 19; m = c + 16; d = m + 2; x = n + 1. If f = 16, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"q": "k + 6", "x": "q + 8", "l": "x + 4", "r": "l + 12", "w": "r + 2", "d": "w + 1", "y": "k + 17", "o": "y + 14", "n": "o + 7", "u": "n + 7", "c": "u + 18", "j": "c + 20", "k": 11}, "premises": {"k": 11}, "target": "d"}, "answer": {"steps": [["w", "r + 2", "r + 3"], ["r", "l + 12", "l + 15"], ["l", "x + 4", "x + 19"], ["x", "q + 8", "q + 27"], ["q", "k + 6", "k + 33"], ["k", 11, "44"]], "target_var_name": "d", "target_value": 44, "value_dict": {"k": 11}, "is_reverse": true}} | 6,997 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = k + 17; n = o + 7; l = x + 4; k = 11; x = q + 8; q = k + 6; u = n + 7; j = c + 20; r = l + 12; d = w + 1; c = u + 18; o = y + 14; w = r + 2. If k = 11, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 2 to d, which gives d = r + 3.\n2. Substitute r = l + 12 to d, which gives d = l + 15.\n3. Substitute l = x + 4 to d, which gives d = x + 19.\n4. Substitute x = q + 8 to d, which gives d = q + 27.\n5. Substitute q = k + 6 to d, which gives d = k + 33.\n6. Substitute k = 11 to d, which gives d = 44.\n\nThus, the final answer is d = \\boxed{44}.",
"index": 6997,
"question": "Consider a system of variables where each variable is defined as follows: y = k + 17; n = o + 7; l = x + 4; k = 11; x = q + 8; q = k + 6; u = n + 7; j = c + 20; r = l + 12; d = w + 1; c = u + 18; o = y + 14; w = r + 2. If k = 11, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 4", "k": "b + 2", "t": "k + 17", "v": "t + 13", "l": "v + 17", "e": "l + 16", "x": "c + 5", "f": "x + 20", "w": "f + 5", "g": "w + 7", "a": "g + 20", "z": "a + 4", "c": 2}, "premises": {"c": 2}, "target": "e"}, "answer": {"steps": [["l", "v + 17", "v + 33"], ["v", "t + 13", "t + 46"], ["t", "k + 17", "k + 63"], ["k", "b + 2", "b + 65"], ["b", "c + 4", "c + 69"], ["c", 2, "71"]], "target_var_name": "e", "target_value": 71, "value_dict": {"c": 2}, "is_reverse": true}} | 6,998 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = l + 16; t = k + 17; x = c + 5; v = t + 13; f = x + 20; g = w + 7; w = f + 5; z = a + 4; a = g + 20; b = c + 4; k = b + 2; l = v + 17; c = 2. If c = 2, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 17 to e, which gives e = v + 33.\n2. Substitute v = t + 13 to e, which gives e = t + 46.\n3. Substitute t = k + 17 to e, which gives e = k + 63.\n4. Substitute k = b + 2 to e, which gives e = b + 65.\n5. Substitute b = c + 4 to e, which gives e = c + 69.\n6. Substitute c = 2 to e, which gives e = 71.\n\nThus, the final answer is e = \\boxed{71}.",
"index": 6998,
"question": "Consider a system of variables where each variable is defined as follows: e = l + 16; t = k + 17; x = c + 5; v = t + 13; f = x + 20; g = w + 7; w = f + 5; z = a + 4; a = g + 20; b = c + 4; k = b + 2; l = v + 17; c = 2. If c = 2, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"s": "a + 4", "y": "s + 15", "h": "y + 9", "n": "h + 7", "q": "n + 15", "c": "q + 20", "f": "a + 8", "j": "f + 1", "p": "j + 18", "k": "p + 9", "g": "k + 16", "x": "g + 16", "a": 14}, "premises": {"a": 14}, "target": "c"}, "answer": {"steps": [["q", "n + 15", "n + 35"], ["n", "h + 7", "h + 42"], ["h", "y + 9", "y + 51"], ["y", "s + 15", "s + 66"], ["s", "a + 4", "a + 70"], ["a", 14, "84"]], "target_var_name": "c", "target_value": 84, "value_dict": {"a": 14}, "is_reverse": true}} | 6,999 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 20; j = f + 1; k = p + 9; g = k + 16; h = y + 9; q = n + 15; n = h + 7; x = g + 16; y = s + 15; f = a + 8; a = 14; p = j + 18; s = a + 4. If a = 14, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 15 to c, which gives c = n + 35.\n2. Substitute n = h + 7 to c, which gives c = h + 42.\n3. Substitute h = y + 9 to c, which gives c = y + 51.\n4. Substitute y = s + 15 to c, which gives c = s + 66.\n5. Substitute s = a + 4 to c, which gives c = a + 70.\n6. Substitute a = 14 to c, which gives c = 84.\n\nThus, the final answer is c = \\boxed{84}.",
"index": 6999,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = q + 20; j = f + 1; k = p + 9; g = k + 16; h = y + 9; q = n + 15; n = h + 7; x = g + 16; y = s + 15; f = a + 8; a = 14; p = j + 18; s = a + 4. If a = 14, what is the resulting value of c?",
"split": "train"
} |
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