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": {"c": "a + 10", "r": "c + 17", "t": "r + 9", "u": "t + 10", "j": "u + 14", "o": "j + 15", "q": "a + 19", "l": "q + 11", "y": "l + 13", "i": "y + 4", "f": "i + 12", "k": "f + 4", "a": 8}, "premises": {"a": 8}, "target": "o"}, "answer": {"steps": [["j", "u + 14", "u + 29"], ["u", "t + 10", "t + 39"], ["t", "r + 9", "r + 48"], ["r", "c + 17", "c + 65"], ["c", "a + 10", "a + 75"], ["a", 8, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"a": 8}, "is_reverse": true}} | 6,800 | 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 = r + 9; o = j + 15; j = u + 14; k = f + 4; q = a + 19; y = l + 13; c = a + 10; u = t + 10; f = i + 12; i = y + 4; r = c + 17; a = 8; l = q + 11. If a = 8, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = u + 14 to o, which gives o = u + 29.\n2. Substitute u = t + 10 to o, which gives o = t + 39.\n3. Substitute t = r + 9 to o, which gives o = r + 48.\n4. Substitute r = c + 17 to o, which gives o = c + 65.\n5. Substitute c = a + 10 to o, which gives o = a + 75.\n6. Substitute a = 8 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 6800,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = r + 9; o = j + 15; j = u + 14; k = f + 4; q = a + 19; y = l + 13; c = a + 10; u = t + 10; f = i + 12; i = y + 4; r = c + 17; a = 8; l = q + 11. If a = 8, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"e": "j + 1", "h": "e + 5", "k": "h + 15", "c": "k + 12", "v": "c + 11", "s": "v + 19", "y": "j + 18", "t": "y + 2", "n": "t + 12", "l": "n + 20", "u": "l + 11", "p": "u + 12", "j": 9}, "premises": {"j": 9}, "target": "s"}, "answer": {"steps": [["v", "c + 11", "c + 30"], ["c", "k + 12", "k + 42"], ["k", "h + 15", "h + 57"], ["h", "e + 5", "e + 62"], ["e", "j + 1", "j + 63"], ["j", 9, "72"]], "target_var_name": "s", "target_value": 72, "value_dict": {"j": 9}, "is_reverse": true}} | 6,801 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = u + 12; j = 9; l = n + 20; y = j + 18; k = h + 15; e = j + 1; h = e + 5; u = l + 11; n = t + 12; v = c + 11; s = v + 19; t = y + 2; c = k + 12. Given that j = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 11 to s, which gives s = c + 30.\n2. Substitute c = k + 12 to s, which gives s = k + 42.\n3. Substitute k = h + 15 to s, which gives s = h + 57.\n4. Substitute h = e + 5 to s, which gives s = e + 62.\n5. Substitute e = j + 1 to s, which gives s = j + 63.\n6. Substitute j = 9 to s, which gives s = 72.\n\nThus, the final answer is s = \\boxed{72}.",
"index": 6801,
"question": "Suppose a collection of variables is related by the following definitions: p = u + 12; j = 9; l = n + 20; y = j + 18; k = h + 15; e = j + 1; h = e + 5; u = l + 11; n = t + 12; v = c + 11; s = v + 19; t = y + 2; c = k + 12. Given that j = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 13", "b": "f + 12", "r": "b + 18", "n": "r + 4", "p": "n + 14", "z": "p + 20", "l": "x + 2", "e": "l + 3", "k": "e + 10", "q": "k + 15", "a": "q + 15", "v": "a + 18", "x": 12}, "premises": {"x": 12}, "target": "z"}, "answer": {"steps": [["p", "n + 14", "n + 34"], ["n", "r + 4", "r + 38"], ["r", "b + 18", "b + 56"], ["b", "f + 12", "f + 68"], ["f", "x + 13", "x + 81"], ["x", 12, "93"]], "target_var_name": "z", "target_value": 93, "value_dict": {"x": 12}, "is_reverse": true}} | 6,802 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = e + 10; n = r + 4; z = p + 20; e = l + 3; b = f + 12; f = x + 13; x = 12; r = b + 18; q = k + 15; v = a + 18; a = q + 15; l = x + 2; p = n + 14. If x = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = n + 14 to z, which gives z = n + 34.\n2. Substitute n = r + 4 to z, which gives z = r + 38.\n3. Substitute r = b + 18 to z, which gives z = b + 56.\n4. Substitute b = f + 12 to z, which gives z = f + 68.\n5. Substitute f = x + 13 to z, which gives z = x + 81.\n6. Substitute x = 12 to z, which gives z = 93.\n\nThus, the final answer is z = \\boxed{93}.",
"index": 6802,
"question": "Consider a system of variables where each variable is defined as follows: k = e + 10; n = r + 4; z = p + 20; e = l + 3; b = f + 12; f = x + 13; x = 12; r = b + 18; q = k + 15; v = a + 18; a = q + 15; l = x + 2; p = n + 14. If x = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"o": "h + 17", "n": "o + 13", "j": "n + 5", "d": "j + 15", "r": "d + 5", "m": "r + 5", "p": "h + 17", "g": "p + 2", "c": "g + 11", "v": "c + 14", "i": "v + 5", "k": "i + 19", "h": 6}, "premises": {"h": 6}, "target": "m"}, "answer": {"steps": [["r", "d + 5", "d + 10"], ["d", "j + 15", "j + 25"], ["j", "n + 5", "n + 30"], ["n", "o + 13", "o + 43"], ["o", "h + 17", "h + 60"], ["h", 6, "66"]], "target_var_name": "m", "target_value": 66, "value_dict": {"h": 6}, "is_reverse": true}} | 6,803 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = g + 11; n = o + 13; m = r + 5; h = 6; k = i + 19; p = h + 17; g = p + 2; o = h + 17; v = c + 14; d = j + 15; i = v + 5; j = n + 5; r = d + 5. If h = 6, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = d + 5 to m, which gives m = d + 10.\n2. Substitute d = j + 15 to m, which gives m = j + 25.\n3. Substitute j = n + 5 to m, which gives m = n + 30.\n4. Substitute n = o + 13 to m, which gives m = o + 43.\n5. Substitute o = h + 17 to m, which gives m = h + 60.\n6. Substitute h = 6 to m, which gives m = 66.\n\nThus, the final answer is m = \\boxed{66}.",
"index": 6803,
"question": "Consider a system of variables where each variable is defined as follows: c = g + 11; n = o + 13; m = r + 5; h = 6; k = i + 19; p = h + 17; g = p + 2; o = h + 17; v = c + 14; d = j + 15; i = v + 5; j = n + 5; r = d + 5. If h = 6, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"e": "n + 12", "m": "e + 8", "o": "m + 12", "w": "o + 13", "q": "w + 2", "i": "q + 13", "p": "n + 16", "t": "p + 20", "s": "t + 6", "z": "s + 5", "f": "z + 16", "u": "f + 6", "n": 11}, "premises": {"n": 11}, "target": "i"}, "answer": {"steps": [["q", "w + 2", "w + 15"], ["w", "o + 13", "o + 28"], ["o", "m + 12", "m + 40"], ["m", "e + 8", "e + 48"], ["e", "n + 12", "n + 60"], ["n", 11, "71"]], "target_var_name": "i", "target_value": 71, "value_dict": {"n": 11}, "is_reverse": true}} | 6,804 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 8; z = s + 5; p = n + 16; o = m + 12; u = f + 6; f = z + 16; t = p + 20; q = w + 2; e = n + 12; w = o + 13; s = t + 6; i = q + 13; n = 11. If n = 11, 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 q = w + 2 to i, which gives i = w + 15.\n2. Substitute w = o + 13 to i, which gives i = o + 28.\n3. Substitute o = m + 12 to i, which gives i = m + 40.\n4. Substitute m = e + 8 to i, which gives i = e + 48.\n5. Substitute e = n + 12 to i, which gives i = n + 60.\n6. Substitute n = 11 to i, which gives i = 71.\n\nThus, the final answer is i = \\boxed{71}.",
"index": 6804,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = e + 8; z = s + 5; p = n + 16; o = m + 12; u = f + 6; f = z + 16; t = p + 20; q = w + 2; e = n + 12; w = o + 13; s = t + 6; i = q + 13; n = 11. If n = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 6", "b": "y + 15", "l": "b + 20", "t": "l + 4", "s": "t + 16", "g": "s + 9", "w": "r + 11", "p": "w + 4", "h": "p + 19", "j": "h + 13", "u": "j + 15", "m": "u + 9", "r": 20}, "premises": {"r": 20}, "target": "g"}, "answer": {"steps": [["s", "t + 16", "t + 25"], ["t", "l + 4", "l + 29"], ["l", "b + 20", "b + 49"], ["b", "y + 15", "y + 64"], ["y", "r + 6", "r + 70"], ["r", 20, "90"]], "target_var_name": "g", "target_value": 90, "value_dict": {"r": 20}, "is_reverse": true}} | 6,805 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = p + 19; s = t + 16; r = 20; g = s + 9; w = r + 11; p = w + 4; t = l + 4; u = j + 15; j = h + 13; b = y + 15; y = r + 6; m = u + 9; l = b + 20. Given that r = 20, find the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = t + 16 to g, which gives g = t + 25.\n2. Substitute t = l + 4 to g, which gives g = l + 29.\n3. Substitute l = b + 20 to g, which gives g = b + 49.\n4. Substitute b = y + 15 to g, which gives g = y + 64.\n5. Substitute y = r + 6 to g, which gives g = r + 70.\n6. Substitute r = 20 to g, which gives g = 90.\n\nThus, the final answer is g = \\boxed{90}.",
"index": 6805,
"question": "Suppose a collection of variables is related by the following definitions: h = p + 19; s = t + 16; r = 20; g = s + 9; w = r + 11; p = w + 4; t = l + 4; u = j + 15; j = h + 13; b = y + 15; y = r + 6; m = u + 9; l = b + 20. Given that r = 20, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"b": "c + 8", "f": "b + 2", "y": "f + 10", "w": "y + 20", "s": "w + 11", "t": "s + 11", "q": "c + 18", "j": "q + 9", "z": "j + 13", "d": "z + 19", "r": "d + 3", "k": "r + 6", "c": 20}, "premises": {"c": 20}, "target": "t"}, "answer": {"steps": [["s", "w + 11", "w + 22"], ["w", "y + 20", "y + 42"], ["y", "f + 10", "f + 52"], ["f", "b + 2", "b + 54"], ["b", "c + 8", "c + 62"], ["c", 20, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"c": 20}, "is_reverse": true}} | 6,806 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = b + 2; y = f + 10; z = j + 13; r = d + 3; b = c + 8; k = r + 6; c = 20; j = q + 9; t = s + 11; q = c + 18; w = y + 20; d = z + 19; s = w + 11. If c = 20, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = w + 11 to t, which gives t = w + 22.\n2. Substitute w = y + 20 to t, which gives t = y + 42.\n3. Substitute y = f + 10 to t, which gives t = f + 52.\n4. Substitute f = b + 2 to t, which gives t = b + 54.\n5. Substitute b = c + 8 to t, which gives t = c + 62.\n6. Substitute c = 20 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 6806,
"question": "Consider a system of variables where each variable is defined as follows: f = b + 2; y = f + 10; z = j + 13; r = d + 3; b = c + 8; k = r + 6; c = 20; j = q + 9; t = s + 11; q = c + 18; w = y + 20; d = z + 19; s = w + 11. If c = 20, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"r": "c + 12", "j": "r + 5", "g": "j + 16", "a": "g + 9", "h": "a + 1", "o": "h + 7", "l": "c + 13", "i": "l + 14", "d": "i + 17", "z": "d + 8", "t": "z + 18", "q": "t + 1", "c": 18}, "premises": {"c": 18}, "target": "o"}, "answer": {"steps": [["h", "a + 1", "a + 8"], ["a", "g + 9", "g + 17"], ["g", "j + 16", "j + 33"], ["j", "r + 5", "r + 38"], ["r", "c + 12", "c + 50"], ["c", 18, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"c": 18}, "is_reverse": true}} | 6,807 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = d + 8; d = i + 17; a = g + 9; h = a + 1; l = c + 13; q = t + 1; i = l + 14; o = h + 7; g = j + 16; t = z + 18; j = r + 5; c = 18; r = c + 12. Given that c = 18, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = a + 1 to o, which gives o = a + 8.\n2. Substitute a = g + 9 to o, which gives o = g + 17.\n3. Substitute g = j + 16 to o, which gives o = j + 33.\n4. Substitute j = r + 5 to o, which gives o = r + 38.\n5. Substitute r = c + 12 to o, which gives o = c + 50.\n6. Substitute c = 18 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 6807,
"question": "Suppose a collection of variables is related by the following definitions: z = d + 8; d = i + 17; a = g + 9; h = a + 1; l = c + 13; q = t + 1; i = l + 14; o = h + 7; g = j + 16; t = z + 18; j = r + 5; c = 18; r = c + 12. Given that c = 18, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "o + 7", "f": "n + 2", "j": "f + 18", "d": "j + 19", "w": "d + 18", "q": "w + 10", "m": "o + 6", "i": "m + 19", "t": "i + 3", "h": "t + 19", "u": "h + 9", "y": "u + 19", "o": 11}, "premises": {"o": 11}, "target": "q"}, "answer": {"steps": [["w", "d + 18", "d + 28"], ["d", "j + 19", "j + 47"], ["j", "f + 18", "f + 65"], ["f", "n + 2", "n + 67"], ["n", "o + 7", "o + 74"], ["o", 11, "85"]], "target_var_name": "q", "target_value": 85, "value_dict": {"o": 11}, "is_reverse": true}} | 6,808 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = i + 3; y = u + 19; n = o + 7; q = w + 10; i = m + 19; f = n + 2; m = o + 6; d = j + 19; w = d + 18; o = 11; j = f + 18; h = t + 19; u = h + 9. If o = 11, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = d + 18 to q, which gives q = d + 28.\n2. Substitute d = j + 19 to q, which gives q = j + 47.\n3. Substitute j = f + 18 to q, which gives q = f + 65.\n4. Substitute f = n + 2 to q, which gives q = n + 67.\n5. Substitute n = o + 7 to q, which gives q = o + 74.\n6. Substitute o = 11 to q, which gives q = 85.\n\nThus, the final answer is q = \\boxed{85}.",
"index": 6808,
"question": "Consider a system of variables where each variable is defined as follows: t = i + 3; y = u + 19; n = o + 7; q = w + 10; i = m + 19; f = n + 2; m = o + 6; d = j + 19; w = d + 18; o = 11; j = f + 18; h = t + 19; u = h + 9. If o = 11, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 13", "h": "f + 6", "q": "h + 6", "v": "q + 9", "l": "v + 10", "c": "l + 3", "u": "i + 19", "b": "u + 19", "z": "b + 11", "d": "z + 14", "w": "d + 12", "n": "w + 15", "i": 1}, "premises": {"i": 1}, "target": "c"}, "answer": {"steps": [["l", "v + 10", "v + 13"], ["v", "q + 9", "q + 22"], ["q", "h + 6", "h + 28"], ["h", "f + 6", "f + 34"], ["f", "i + 13", "i + 47"], ["i", 1, "48"]], "target_var_name": "c", "target_value": 48, "value_dict": {"i": 1}, "is_reverse": true}} | 6,809 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = z + 14; c = l + 3; b = u + 19; l = v + 10; i = 1; z = b + 11; w = d + 12; h = f + 6; u = i + 19; n = w + 15; f = i + 13; v = q + 9; q = h + 6. Given that i = 1, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = v + 10 to c, which gives c = v + 13.\n2. Substitute v = q + 9 to c, which gives c = q + 22.\n3. Substitute q = h + 6 to c, which gives c = h + 28.\n4. Substitute h = f + 6 to c, which gives c = f + 34.\n5. Substitute f = i + 13 to c, which gives c = i + 47.\n6. Substitute i = 1 to c, which gives c = 48.\n\nThus, the final answer is c = \\boxed{48}.",
"index": 6809,
"question": "Suppose a collection of variables is related by the following definitions: d = z + 14; c = l + 3; b = u + 19; l = v + 10; i = 1; z = b + 11; w = d + 12; h = f + 6; u = i + 19; n = w + 15; f = i + 13; v = q + 9; q = h + 6. Given that i = 1, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 2", "a": "q + 5", "w": "a + 5", "s": "w + 20", "l": "s + 20", "d": "l + 6", "n": "h + 9", "o": "n + 1", "x": "o + 7", "f": "x + 11", "e": "f + 1", "b": "e + 17", "h": 14}, "premises": {"h": 14}, "target": "d"}, "answer": {"steps": [["l", "s + 20", "s + 26"], ["s", "w + 20", "w + 46"], ["w", "a + 5", "a + 51"], ["a", "q + 5", "q + 56"], ["q", "h + 2", "h + 58"], ["h", 14, "72"]], "target_var_name": "d", "target_value": 72, "value_dict": {"h": 14}, "is_reverse": true}} | 6,810 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 11; e = f + 1; n = h + 9; a = q + 5; w = a + 5; d = l + 6; l = s + 20; q = h + 2; b = e + 17; h = 14; o = n + 1; s = w + 20; x = o + 7. If h = 14, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 20 to d, which gives d = s + 26.\n2. Substitute s = w + 20 to d, which gives d = w + 46.\n3. Substitute w = a + 5 to d, which gives d = a + 51.\n4. Substitute a = q + 5 to d, which gives d = q + 56.\n5. Substitute q = h + 2 to d, which gives d = h + 58.\n6. Substitute h = 14 to d, which gives d = 72.\n\nThus, the final answer is d = \\boxed{72}.",
"index": 6810,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = x + 11; e = f + 1; n = h + 9; a = q + 5; w = a + 5; d = l + 6; l = s + 20; q = h + 2; b = e + 17; h = 14; o = n + 1; s = w + 20; x = o + 7. If h = 14, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"r": "u + 20", "y": "r + 17", "k": "y + 1", "v": "k + 11", "i": "v + 15", "l": "i + 5", "a": "u + 11", "j": "a + 14", "p": "j + 6", "s": "p + 20", "d": "s + 19", "h": "d + 4", "u": 16}, "premises": {"u": 16}, "target": "l"}, "answer": {"steps": [["i", "v + 15", "v + 20"], ["v", "k + 11", "k + 31"], ["k", "y + 1", "y + 32"], ["y", "r + 17", "r + 49"], ["r", "u + 20", "u + 69"], ["u", 16, "85"]], "target_var_name": "l", "target_value": 85, "value_dict": {"u": 16}, "is_reverse": true}} | 6,811 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = d + 4; l = i + 5; s = p + 20; u = 16; p = j + 6; v = k + 11; d = s + 19; j = a + 14; r = u + 20; y = r + 17; i = v + 15; a = u + 11; k = y + 1. Given that u = 16, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = v + 15 to l, which gives l = v + 20.\n2. Substitute v = k + 11 to l, which gives l = k + 31.\n3. Substitute k = y + 1 to l, which gives l = y + 32.\n4. Substitute y = r + 17 to l, which gives l = r + 49.\n5. Substitute r = u + 20 to l, which gives l = u + 69.\n6. Substitute u = 16 to l, which gives l = 85.\n\nThus, the final answer is l = \\boxed{85}.",
"index": 6811,
"question": "Suppose a collection of variables is related by the following definitions: h = d + 4; l = i + 5; s = p + 20; u = 16; p = j + 6; v = k + 11; d = s + 19; j = a + 14; r = u + 20; y = r + 17; i = v + 15; a = u + 11; k = y + 1. Given that u = 16, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"y": "z + 17", "v": "y + 4", "m": "v + 2", "o": "m + 18", "f": "o + 8", "s": "f + 17", "g": "z + 4", "l": "g + 8", "d": "l + 11", "c": "d + 9", "h": "c + 20", "j": "h + 14", "z": 11}, "premises": {"z": 11}, "target": "s"}, "answer": {"steps": [["f", "o + 8", "o + 25"], ["o", "m + 18", "m + 43"], ["m", "v + 2", "v + 45"], ["v", "y + 4", "y + 49"], ["y", "z + 17", "z + 66"], ["z", 11, "77"]], "target_var_name": "s", "target_value": 77, "value_dict": {"z": 11}, "is_reverse": true}} | 6,812 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 18; s = f + 17; y = z + 17; z = 11; j = h + 14; h = c + 20; g = z + 4; l = g + 8; d = l + 11; f = o + 8; m = v + 2; v = y + 4; c = d + 9. If z = 11, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 8 to s, which gives s = o + 25.\n2. Substitute o = m + 18 to s, which gives s = m + 43.\n3. Substitute m = v + 2 to s, which gives s = v + 45.\n4. Substitute v = y + 4 to s, which gives s = y + 49.\n5. Substitute y = z + 17 to s, which gives s = z + 66.\n6. Substitute z = 11 to s, which gives s = 77.\n\nThus, the final answer is s = \\boxed{77}.",
"index": 6812,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 18; s = f + 17; y = z + 17; z = 11; j = h + 14; h = c + 20; g = z + 4; l = g + 8; d = l + 11; f = o + 8; m = v + 2; v = y + 4; c = d + 9. If z = 11, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 6", "z": "c + 2", "i": "z + 20", "m": "i + 14", "s": "m + 9", "j": "s + 16", "r": "q + 6", "d": "r + 17", "g": "d + 1", "e": "g + 16", "x": "e + 19", "f": "x + 6", "q": 19}, "premises": {"q": 19}, "target": "j"}, "answer": {"steps": [["s", "m + 9", "m + 25"], ["m", "i + 14", "i + 39"], ["i", "z + 20", "z + 59"], ["z", "c + 2", "c + 61"], ["c", "q + 6", "q + 67"], ["q", 19, "86"]], "target_var_name": "j", "target_value": 86, "value_dict": {"q": 19}, "is_reverse": true}} | 6,813 | 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 + 16; d = r + 17; z = c + 2; g = d + 1; c = q + 6; x = e + 19; f = x + 6; e = g + 16; m = i + 14; i = z + 20; r = q + 6; s = m + 9; q = 19. If q = 19, what is the resulting 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 s = m + 9 to j, which gives j = m + 25.\n2. Substitute m = i + 14 to j, which gives j = i + 39.\n3. Substitute i = z + 20 to j, which gives j = z + 59.\n4. Substitute z = c + 2 to j, which gives j = c + 61.\n5. Substitute c = q + 6 to j, which gives j = q + 67.\n6. Substitute q = 19 to j, which gives j = 86.\n\nThus, the final answer is j = \\boxed{86}.",
"index": 6813,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = s + 16; d = r + 17; z = c + 2; g = d + 1; c = q + 6; x = e + 19; f = x + 6; e = g + 16; m = i + 14; i = z + 20; r = q + 6; s = m + 9; q = 19. If q = 19, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"j": "b + 1", "k": "j + 13", "x": "k + 9", "q": "x + 17", "v": "q + 8", "n": "v + 20", "l": "b + 15", "m": "l + 1", "t": "m + 17", "f": "t + 19", "g": "f + 7", "h": "g + 17", "b": 3}, "premises": {"b": 3}, "target": "n"}, "answer": {"steps": [["v", "q + 8", "q + 28"], ["q", "x + 17", "x + 45"], ["x", "k + 9", "k + 54"], ["k", "j + 13", "j + 67"], ["j", "b + 1", "b + 68"], ["b", 3, "71"]], "target_var_name": "n", "target_value": 71, "value_dict": {"b": 3}, "is_reverse": true}} | 6,814 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = q + 8; l = b + 15; g = f + 7; k = j + 13; b = 3; h = g + 17; t = m + 17; q = x + 17; n = v + 20; x = k + 9; f = t + 19; j = b + 1; m = l + 1. Given that b = 3, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = q + 8 to n, which gives n = q + 28.\n2. Substitute q = x + 17 to n, which gives n = x + 45.\n3. Substitute x = k + 9 to n, which gives n = k + 54.\n4. Substitute k = j + 13 to n, which gives n = j + 67.\n5. Substitute j = b + 1 to n, which gives n = b + 68.\n6. Substitute b = 3 to n, which gives n = 71.\n\nThus, the final answer is n = \\boxed{71}.",
"index": 6814,
"question": "Suppose a collection of variables is related by the following definitions: v = q + 8; l = b + 15; g = f + 7; k = j + 13; b = 3; h = g + 17; t = m + 17; q = x + 17; n = v + 20; x = k + 9; f = t + 19; j = b + 1; m = l + 1. Given that b = 3, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"a": "p + 18", "x": "a + 9", "s": "x + 16", "g": "s + 13", "v": "g + 10", "r": "v + 15", "i": "p + 20", "q": "i + 17", "l": "q + 6", "j": "l + 14", "b": "j + 20", "k": "b + 1", "p": 19}, "premises": {"p": 19}, "target": "r"}, "answer": {"steps": [["v", "g + 10", "g + 25"], ["g", "s + 13", "s + 38"], ["s", "x + 16", "x + 54"], ["x", "a + 9", "a + 63"], ["a", "p + 18", "p + 81"], ["p", 19, "100"]], "target_var_name": "r", "target_value": 100, "value_dict": {"p": 19}, "is_reverse": true}} | 6,815 | 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 = q + 6; s = x + 16; i = p + 20; x = a + 9; j = l + 14; r = v + 15; q = i + 17; b = j + 20; g = s + 13; p = 19; k = b + 1; v = g + 10; a = p + 18. If p = 19, 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 = g + 10 to r, which gives r = g + 25.\n2. Substitute g = s + 13 to r, which gives r = s + 38.\n3. Substitute s = x + 16 to r, which gives r = x + 54.\n4. Substitute x = a + 9 to r, which gives r = a + 63.\n5. Substitute a = p + 18 to r, which gives r = p + 81.\n6. Substitute p = 19 to r, which gives r = 100.\n\nThus, the final answer is r = \\boxed{100}.",
"index": 6815,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = q + 6; s = x + 16; i = p + 20; x = a + 9; j = l + 14; r = v + 15; q = i + 17; b = j + 20; g = s + 13; p = 19; k = b + 1; v = g + 10; a = p + 18. If p = 19, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 10", "x": "b + 2", "k": "x + 6", "w": "k + 5", "u": "w + 3", "l": "u + 17", "e": "d + 18", "z": "e + 14", "p": "z + 2", "h": "p + 8", "j": "h + 14", "n": "j + 17", "d": 19}, "premises": {"d": 19}, "target": "l"}, "answer": {"steps": [["u", "w + 3", "w + 20"], ["w", "k + 5", "k + 25"], ["k", "x + 6", "x + 31"], ["x", "b + 2", "b + 33"], ["b", "d + 10", "d + 43"], ["d", 19, "62"]], "target_var_name": "l", "target_value": 62, "value_dict": {"d": 19}, "is_reverse": true}} | 6,816 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = z + 2; x = b + 2; e = d + 18; b = d + 10; u = w + 3; h = p + 8; k = x + 6; j = h + 14; w = k + 5; z = e + 14; n = j + 17; l = u + 17; d = 19. If d = 19, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = w + 3 to l, which gives l = w + 20.\n2. Substitute w = k + 5 to l, which gives l = k + 25.\n3. Substitute k = x + 6 to l, which gives l = x + 31.\n4. Substitute x = b + 2 to l, which gives l = b + 33.\n5. Substitute b = d + 10 to l, which gives l = d + 43.\n6. Substitute d = 19 to l, which gives l = 62.\n\nThus, the final answer is l = \\boxed{62}.",
"index": 6816,
"question": "Consider a system of variables where each variable is defined as follows: p = z + 2; x = b + 2; e = d + 18; b = d + 10; u = w + 3; h = p + 8; k = x + 6; j = h + 14; w = k + 5; z = e + 14; n = j + 17; l = u + 17; d = 19. If d = 19, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"l": "x + 6", "q": "l + 12", "r": "q + 8", "f": "r + 11", "i": "f + 1", "y": "i + 18", "k": "x + 2", "p": "k + 6", "a": "p + 13", "d": "a + 7", "s": "d + 1", "e": "s + 5", "x": 9}, "premises": {"x": 9}, "target": "y"}, "answer": {"steps": [["i", "f + 1", "f + 19"], ["f", "r + 11", "r + 30"], ["r", "q + 8", "q + 38"], ["q", "l + 12", "l + 50"], ["l", "x + 6", "x + 56"], ["x", 9, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"x": 9}, "is_reverse": true}} | 6,817 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = r + 11; d = a + 7; y = i + 18; x = 9; q = l + 12; i = f + 1; e = s + 5; l = x + 6; r = q + 8; p = k + 6; s = d + 1; k = x + 2; a = p + 13. Given that x = 9, find the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = f + 1 to y, which gives y = f + 19.\n2. Substitute f = r + 11 to y, which gives y = r + 30.\n3. Substitute r = q + 8 to y, which gives y = q + 38.\n4. Substitute q = l + 12 to y, which gives y = l + 50.\n5. Substitute l = x + 6 to y, which gives y = x + 56.\n6. Substitute x = 9 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 6817,
"question": "Suppose a collection of variables is related by the following definitions: f = r + 11; d = a + 7; y = i + 18; x = 9; q = l + 12; i = f + 1; e = s + 5; l = x + 6; r = q + 8; p = k + 6; s = d + 1; k = x + 2; a = p + 13. Given that x = 9, find the value of y.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 5", "g": "m + 5", "k": "g + 20", "p": "k + 11", "x": "p + 17", "u": "x + 3", "l": "s + 11", "n": "l + 1", "w": "n + 3", "e": "w + 14", "y": "e + 6", "j": "y + 3", "s": 2}, "premises": {"s": 2}, "target": "u"}, "answer": {"steps": [["x", "p + 17", "p + 20"], ["p", "k + 11", "k + 31"], ["k", "g + 20", "g + 51"], ["g", "m + 5", "m + 56"], ["m", "s + 5", "s + 61"], ["s", 2, "63"]], "target_var_name": "u", "target_value": 63, "value_dict": {"s": 2}, "is_reverse": true}} | 6,818 | 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 = y + 3; k = g + 20; y = e + 6; m = s + 5; w = n + 3; x = p + 17; p = k + 11; g = m + 5; l = s + 11; e = w + 14; u = x + 3; n = l + 1; s = 2. If s = 2, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = p + 17 to u, which gives u = p + 20.\n2. Substitute p = k + 11 to u, which gives u = k + 31.\n3. Substitute k = g + 20 to u, which gives u = g + 51.\n4. Substitute g = m + 5 to u, which gives u = m + 56.\n5. Substitute m = s + 5 to u, which gives u = s + 61.\n6. Substitute s = 2 to u, which gives u = 63.\n\nThus, the final answer is u = \\boxed{63}.",
"index": 6818,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = y + 3; k = g + 20; y = e + 6; m = s + 5; w = n + 3; x = p + 17; p = k + 11; g = m + 5; l = s + 11; e = w + 14; u = x + 3; n = l + 1; s = 2. If s = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"q": "m + 18", "w": "q + 13", "b": "w + 1", "i": "b + 11", "a": "i + 15", "g": "a + 2", "o": "m + 10", "n": "o + 20", "r": "n + 18", "k": "r + 4", "c": "k + 3", "f": "c + 1", "m": 18}, "premises": {"m": 18}, "target": "g"}, "answer": {"steps": [["a", "i + 15", "i + 17"], ["i", "b + 11", "b + 28"], ["b", "w + 1", "w + 29"], ["w", "q + 13", "q + 42"], ["q", "m + 18", "m + 60"], ["m", 18, "78"]], "target_var_name": "g", "target_value": 78, "value_dict": {"m": 18}, "is_reverse": true}} | 6,819 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = a + 2; k = r + 4; f = c + 1; b = w + 1; c = k + 3; a = i + 15; i = b + 11; o = m + 10; r = n + 18; n = o + 20; w = q + 13; q = m + 18; m = 18. If m = 18, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 15 to g, which gives g = i + 17.\n2. Substitute i = b + 11 to g, which gives g = b + 28.\n3. Substitute b = w + 1 to g, which gives g = w + 29.\n4. Substitute w = q + 13 to g, which gives g = q + 42.\n5. Substitute q = m + 18 to g, which gives g = m + 60.\n6. Substitute m = 18 to g, which gives g = 78.\n\nThus, the final answer is g = \\boxed{78}.",
"index": 6819,
"question": "Consider a system of variables where each variable is defined as follows: g = a + 2; k = r + 4; f = c + 1; b = w + 1; c = k + 3; a = i + 15; i = b + 11; o = m + 10; r = n + 18; n = o + 20; w = q + 13; q = m + 18; m = 18. If m = 18, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 19", "t": "j + 15", "c": "t + 8", "z": "c + 16", "r": "z + 12", "o": "r + 1", "i": "q + 19", "w": "i + 17", "v": "w + 9", "f": "v + 8", "g": "f + 2", "e": "g + 2", "q": 9}, "premises": {"q": 9}, "target": "o"}, "answer": {"steps": [["r", "z + 12", "z + 13"], ["z", "c + 16", "c + 29"], ["c", "t + 8", "t + 37"], ["t", "j + 15", "j + 52"], ["j", "q + 19", "q + 71"], ["q", 9, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"q": 9}, "is_reverse": true}} | 6,820 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = q + 19; w = i + 17; q = 9; g = f + 2; j = q + 19; z = c + 16; v = w + 9; t = j + 15; r = z + 12; c = t + 8; f = v + 8; o = r + 1; e = g + 2. Given that q = 9, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 12 to o, which gives o = z + 13.\n2. Substitute z = c + 16 to o, which gives o = c + 29.\n3. Substitute c = t + 8 to o, which gives o = t + 37.\n4. Substitute t = j + 15 to o, which gives o = j + 52.\n5. Substitute j = q + 19 to o, which gives o = q + 71.\n6. Substitute q = 9 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 6820,
"question": "Suppose a collection of variables is related by the following definitions: i = q + 19; w = i + 17; q = 9; g = f + 2; j = q + 19; z = c + 16; v = w + 9; t = j + 15; r = z + 12; c = t + 8; f = v + 8; o = r + 1; e = g + 2. Given that q = 9, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 7", "d": "g + 5", "z": "d + 4", "v": "z + 13", "e": "v + 11", "c": "e + 17", "r": "i + 7", "p": "r + 6", "w": "p + 8", "b": "w + 7", "k": "b + 8", "t": "k + 12", "i": 19}, "premises": {"i": 19}, "target": "c"}, "answer": {"steps": [["e", "v + 11", "v + 28"], ["v", "z + 13", "z + 41"], ["z", "d + 4", "d + 45"], ["d", "g + 5", "g + 50"], ["g", "i + 7", "i + 57"], ["i", 19, "76"]], "target_var_name": "c", "target_value": 76, "value_dict": {"i": 19}, "is_reverse": true}} | 6,821 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = z + 13; c = e + 17; r = i + 7; d = g + 5; w = p + 8; z = d + 4; e = v + 11; i = 19; k = b + 8; g = i + 7; p = r + 6; t = k + 12; b = w + 7. Given that i = 19, find the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 11 to c, which gives c = v + 28.\n2. Substitute v = z + 13 to c, which gives c = z + 41.\n3. Substitute z = d + 4 to c, which gives c = d + 45.\n4. Substitute d = g + 5 to c, which gives c = g + 50.\n5. Substitute g = i + 7 to c, which gives c = i + 57.\n6. Substitute i = 19 to c, which gives c = 76.\n\nThus, the final answer is c = \\boxed{76}.",
"index": 6821,
"question": "Suppose a collection of variables is related by the following definitions: v = z + 13; c = e + 17; r = i + 7; d = g + 5; w = p + 8; z = d + 4; e = v + 11; i = 19; k = b + 8; g = i + 7; p = r + 6; t = k + 12; b = w + 7. Given that i = 19, find the value of c.",
"split": "train"
} |
{"problem": {"rules": {"m": "s + 9", "i": "m + 4", "q": "i + 2", "n": "q + 11", "f": "n + 7", "l": "f + 18", "a": "s + 14", "r": "a + 10", "t": "r + 13", "p": "t + 8", "o": "p + 11", "j": "o + 3", "s": 4}, "premises": {"s": 4}, "target": "l"}, "answer": {"steps": [["f", "n + 7", "n + 25"], ["n", "q + 11", "q + 36"], ["q", "i + 2", "i + 38"], ["i", "m + 4", "m + 42"], ["m", "s + 9", "s + 51"], ["s", 4, "55"]], "target_var_name": "l", "target_value": 55, "value_dict": {"s": 4}, "is_reverse": true}} | 6,822 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = f + 18; t = r + 13; n = q + 11; r = a + 10; f = n + 7; q = i + 2; o = p + 11; p = t + 8; j = o + 3; m = s + 9; i = m + 4; a = s + 14; s = 4. Given that s = 4, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = n + 7 to l, which gives l = n + 25.\n2. Substitute n = q + 11 to l, which gives l = q + 36.\n3. Substitute q = i + 2 to l, which gives l = i + 38.\n4. Substitute i = m + 4 to l, which gives l = m + 42.\n5. Substitute m = s + 9 to l, which gives l = s + 51.\n6. Substitute s = 4 to l, which gives l = 55.\n\nThus, the final answer is l = \\boxed{55}.",
"index": 6822,
"question": "Suppose a collection of variables is related by the following definitions: l = f + 18; t = r + 13; n = q + 11; r = a + 10; f = n + 7; q = i + 2; o = p + 11; p = t + 8; j = o + 3; m = s + 9; i = m + 4; a = s + 14; s = 4. Given that s = 4, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"u": "f + 16", "j": "u + 6", "e": "j + 19", "i": "e + 19", "z": "i + 17", "v": "z + 8", "n": "f + 15", "p": "n + 15", "g": "p + 15", "c": "g + 5", "m": "c + 9", "o": "m + 14", "f": 14}, "premises": {"f": 14}, "target": "v"}, "answer": {"steps": [["z", "i + 17", "i + 25"], ["i", "e + 19", "e + 44"], ["e", "j + 19", "j + 63"], ["j", "u + 6", "u + 69"], ["u", "f + 16", "f + 85"], ["f", 14, "99"]], "target_var_name": "v", "target_value": 99, "value_dict": {"f": 14}, "is_reverse": true}} | 6,823 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = g + 5; e = j + 19; o = m + 14; m = c + 9; j = u + 6; z = i + 17; i = e + 19; n = f + 15; f = 14; u = f + 16; v = z + 8; p = n + 15; g = p + 15. Given that f = 14, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = i + 17 to v, which gives v = i + 25.\n2. Substitute i = e + 19 to v, which gives v = e + 44.\n3. Substitute e = j + 19 to v, which gives v = j + 63.\n4. Substitute j = u + 6 to v, which gives v = u + 69.\n5. Substitute u = f + 16 to v, which gives v = f + 85.\n6. Substitute f = 14 to v, which gives v = 99.\n\nThus, the final answer is v = \\boxed{99}.",
"index": 6823,
"question": "Suppose a collection of variables is related by the following definitions: c = g + 5; e = j + 19; o = m + 14; m = c + 9; j = u + 6; z = i + 17; i = e + 19; n = f + 15; f = 14; u = f + 16; v = z + 8; p = n + 15; g = p + 15. Given that f = 14, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "c + 9", "b": "h + 9", "g": "b + 18", "n": "g + 19", "l": "n + 14", "m": "l + 11", "e": "c + 4", "d": "e + 9", "p": "d + 12", "x": "p + 2", "a": "x + 8", "q": "a + 14", "c": 11}, "premises": {"c": 11}, "target": "m"}, "answer": {"steps": [["l", "n + 14", "n + 25"], ["n", "g + 19", "g + 44"], ["g", "b + 18", "b + 62"], ["b", "h + 9", "h + 71"], ["h", "c + 9", "c + 80"], ["c", 11, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"c": 11}, "is_reverse": true}} | 6,824 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = p + 2; c = 11; b = h + 9; a = x + 8; d = e + 9; p = d + 12; q = a + 14; g = b + 18; m = l + 11; n = g + 19; l = n + 14; h = c + 9; e = c + 4. Given that c = 11, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 14 to m, which gives m = n + 25.\n2. Substitute n = g + 19 to m, which gives m = g + 44.\n3. Substitute g = b + 18 to m, which gives m = b + 62.\n4. Substitute b = h + 9 to m, which gives m = h + 71.\n5. Substitute h = c + 9 to m, which gives m = c + 80.\n6. Substitute c = 11 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 6824,
"question": "Suppose a collection of variables is related by the following definitions: x = p + 2; c = 11; b = h + 9; a = x + 8; d = e + 9; p = d + 12; q = a + 14; g = b + 18; m = l + 11; n = g + 19; l = n + 14; h = c + 9; e = c + 4. Given that c = 11, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"a": "z + 19", "n": "a + 16", "j": "n + 7", "w": "j + 4", "e": "w + 16", "k": "e + 9", "l": "z + 11", "m": "l + 14", "u": "m + 11", "x": "u + 2", "s": "x + 18", "f": "s + 13", "z": 9}, "premises": {"z": 9}, "target": "k"}, "answer": {"steps": [["e", "w + 16", "w + 25"], ["w", "j + 4", "j + 29"], ["j", "n + 7", "n + 36"], ["n", "a + 16", "a + 52"], ["a", "z + 19", "z + 71"], ["z", 9, "80"]], "target_var_name": "k", "target_value": 80, "value_dict": {"z": 9}, "is_reverse": true}} | 6,825 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = w + 16; z = 9; w = j + 4; f = s + 13; j = n + 7; k = e + 9; m = l + 14; n = a + 16; a = z + 19; u = m + 11; s = x + 18; l = z + 11; x = u + 2. If z = 9, determine the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = w + 16 to k, which gives k = w + 25.\n2. Substitute w = j + 4 to k, which gives k = j + 29.\n3. Substitute j = n + 7 to k, which gives k = n + 36.\n4. Substitute n = a + 16 to k, which gives k = a + 52.\n5. Substitute a = z + 19 to k, which gives k = z + 71.\n6. Substitute z = 9 to k, which gives k = 80.\n\nThus, the final answer is k = \\boxed{80}.",
"index": 6825,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 16; z = 9; w = j + 4; f = s + 13; j = n + 7; k = e + 9; m = l + 14; n = a + 16; a = z + 19; u = m + 11; s = x + 18; l = z + 11; x = u + 2. If z = 9, determine the value of k.",
"split": "train"
} |
{"problem": {"rules": {"i": "z + 3", "n": "i + 17", "u": "n + 2", "l": "u + 16", "q": "l + 5", "w": "q + 3", "e": "z + 11", "j": "e + 4", "f": "j + 14", "a": "f + 16", "h": "a + 17", "r": "h + 14", "z": 6}, "premises": {"z": 6}, "target": "w"}, "answer": {"steps": [["q", "l + 5", "l + 8"], ["l", "u + 16", "u + 24"], ["u", "n + 2", "n + 26"], ["n", "i + 17", "i + 43"], ["i", "z + 3", "z + 46"], ["z", 6, "52"]], "target_var_name": "w", "target_value": 52, "value_dict": {"z": 6}, "is_reverse": true}} | 6,826 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = i + 17; u = n + 2; h = a + 17; l = u + 16; r = h + 14; z = 6; f = j + 14; j = e + 4; w = q + 3; a = f + 16; e = z + 11; i = z + 3; q = l + 5. If z = 6, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 5 to w, which gives w = l + 8.\n2. Substitute l = u + 16 to w, which gives w = u + 24.\n3. Substitute u = n + 2 to w, which gives w = n + 26.\n4. Substitute n = i + 17 to w, which gives w = i + 43.\n5. Substitute i = z + 3 to w, which gives w = z + 46.\n6. Substitute z = 6 to w, which gives w = 52.\n\nThus, the final answer is w = \\boxed{52}.",
"index": 6826,
"question": "Consider a system of variables where each variable is defined as follows: n = i + 17; u = n + 2; h = a + 17; l = u + 16; r = h + 14; z = 6; f = j + 14; j = e + 4; w = q + 3; a = f + 16; e = z + 11; i = z + 3; q = l + 5. If z = 6, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 4", "f": "q + 5", "o": "f + 10", "k": "o + 1", "m": "k + 20", "p": "m + 10", "h": "t + 13", "e": "h + 18", "u": "e + 19", "c": "u + 5", "x": "c + 9", "j": "x + 3", "t": 3}, "premises": {"t": 3}, "target": "p"}, "answer": {"steps": [["m", "k + 20", "k + 30"], ["k", "o + 1", "o + 31"], ["o", "f + 10", "f + 41"], ["f", "q + 5", "q + 46"], ["q", "t + 4", "t + 50"], ["t", 3, "53"]], "target_var_name": "p", "target_value": 53, "value_dict": {"t": 3}, "is_reverse": true}} | 6,827 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = q + 5; x = c + 9; e = h + 18; j = x + 3; k = o + 1; p = m + 10; t = 3; u = e + 19; h = t + 13; q = t + 4; o = f + 10; m = k + 20; c = u + 5. Given that t = 3, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 20 to p, which gives p = k + 30.\n2. Substitute k = o + 1 to p, which gives p = o + 31.\n3. Substitute o = f + 10 to p, which gives p = f + 41.\n4. Substitute f = q + 5 to p, which gives p = q + 46.\n5. Substitute q = t + 4 to p, which gives p = t + 50.\n6. Substitute t = 3 to p, which gives p = 53.\n\nThus, the final answer is p = \\boxed{53}.",
"index": 6827,
"question": "Suppose a collection of variables is related by the following definitions: f = q + 5; x = c + 9; e = h + 18; j = x + 3; k = o + 1; p = m + 10; t = 3; u = e + 19; h = t + 13; q = t + 4; o = f + 10; m = k + 20; c = u + 5. Given that t = 3, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "a + 17", "m": "x + 17", "n": "m + 11", "q": "n + 18", "d": "q + 8", "z": "d + 2", "k": "a + 6", "y": "k + 6", "t": "y + 17", "i": "t + 10", "s": "i + 10", "e": "s + 14", "a": 4}, "premises": {"a": 4}, "target": "z"}, "answer": {"steps": [["d", "q + 8", "q + 10"], ["q", "n + 18", "n + 28"], ["n", "m + 11", "m + 39"], ["m", "x + 17", "x + 56"], ["x", "a + 17", "a + 73"], ["a", 4, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"a": 4}, "is_reverse": true}} | 6,828 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = m + 11; i = t + 10; m = x + 17; x = a + 17; y = k + 6; z = d + 2; e = s + 14; t = y + 17; k = a + 6; d = q + 8; q = n + 18; a = 4; s = i + 10. Given that a = 4, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = q + 8 to z, which gives z = q + 10.\n2. Substitute q = n + 18 to z, which gives z = n + 28.\n3. Substitute n = m + 11 to z, which gives z = m + 39.\n4. Substitute m = x + 17 to z, which gives z = x + 56.\n5. Substitute x = a + 17 to z, which gives z = a + 73.\n6. Substitute a = 4 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 6828,
"question": "Suppose a collection of variables is related by the following definitions: n = m + 11; i = t + 10; m = x + 17; x = a + 17; y = k + 6; z = d + 2; e = s + 14; t = y + 17; k = a + 6; d = q + 8; q = n + 18; a = 4; s = i + 10. Given that a = 4, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "g + 9", "a": "l + 1", "e": "a + 19", "p": "e + 3", "s": "p + 8", "x": "s + 7", "o": "g + 14", "w": "o + 1", "y": "w + 1", "h": "y + 20", "t": "h + 13", "k": "t + 5", "g": 2}, "premises": {"g": 2}, "target": "x"}, "answer": {"steps": [["s", "p + 8", "p + 15"], ["p", "e + 3", "e + 18"], ["e", "a + 19", "a + 37"], ["a", "l + 1", "l + 38"], ["l", "g + 9", "g + 47"], ["g", 2, "49"]], "target_var_name": "x", "target_value": 49, "value_dict": {"g": 2}, "is_reverse": true}} | 6,829 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = g + 14; l = g + 9; a = l + 1; y = w + 1; w = o + 1; p = e + 3; t = h + 13; g = 2; s = p + 8; h = y + 20; k = t + 5; x = s + 7; e = a + 19. Given that g = 2, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 8 to x, which gives x = p + 15.\n2. Substitute p = e + 3 to x, which gives x = e + 18.\n3. Substitute e = a + 19 to x, which gives x = a + 37.\n4. Substitute a = l + 1 to x, which gives x = l + 38.\n5. Substitute l = g + 9 to x, which gives x = g + 47.\n6. Substitute g = 2 to x, which gives x = 49.\n\nThus, the final answer is x = \\boxed{49}.",
"index": 6829,
"question": "Suppose a collection of variables is related by the following definitions: o = g + 14; l = g + 9; a = l + 1; y = w + 1; w = o + 1; p = e + 3; t = h + 13; g = 2; s = p + 8; h = y + 20; k = t + 5; x = s + 7; e = a + 19. Given that g = 2, find the value of x.",
"split": "train"
} |
{"problem": {"rules": {"m": "v + 11", "b": "m + 14", "x": "b + 16", "q": "x + 18", "e": "q + 12", "c": "e + 18", "p": "v + 10", "u": "p + 18", "w": "u + 11", "r": "w + 17", "y": "r + 9", "k": "y + 9", "v": 4}, "premises": {"v": 4}, "target": "c"}, "answer": {"steps": [["e", "q + 12", "q + 30"], ["q", "x + 18", "x + 48"], ["x", "b + 16", "b + 64"], ["b", "m + 14", "m + 78"], ["m", "v + 11", "v + 89"], ["v", 4, "93"]], "target_var_name": "c", "target_value": 93, "value_dict": {"v": 4}, "is_reverse": true}} | 6,830 | 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 = x + 18; x = b + 16; m = v + 11; r = w + 17; c = e + 18; y = r + 9; k = y + 9; u = p + 18; b = m + 14; p = v + 10; e = q + 12; v = 4; w = u + 11. If v = 4, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 93,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 12 to c, which gives c = q + 30.\n2. Substitute q = x + 18 to c, which gives c = x + 48.\n3. Substitute x = b + 16 to c, which gives c = b + 64.\n4. Substitute b = m + 14 to c, which gives c = m + 78.\n5. Substitute m = v + 11 to c, which gives c = v + 89.\n6. Substitute v = 4 to c, which gives c = 93.\n\nThus, the final answer is c = \\boxed{93}.",
"index": 6830,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = x + 18; x = b + 16; m = v + 11; r = w + 17; c = e + 18; y = r + 9; k = y + 9; u = p + 18; b = m + 14; p = v + 10; e = q + 12; v = 4; w = u + 11. If v = 4, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"q": "g + 18", "z": "q + 20", "f": "z + 10", "b": "f + 8", "x": "b + 2", "r": "x + 19", "p": "g + 12", "h": "p + 11", "s": "h + 11", "m": "s + 4", "n": "m + 2", "l": "n + 14", "g": 3}, "premises": {"g": 3}, "target": "r"}, "answer": {"steps": [["x", "b + 2", "b + 21"], ["b", "f + 8", "f + 29"], ["f", "z + 10", "z + 39"], ["z", "q + 20", "q + 59"], ["q", "g + 18", "g + 77"], ["g", 3, "80"]], "target_var_name": "r", "target_value": 80, "value_dict": {"g": 3}, "is_reverse": true}} | 6,831 | 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 = n + 14; s = h + 11; z = q + 20; f = z + 10; g = 3; n = m + 2; p = g + 12; m = s + 4; r = x + 19; x = b + 2; b = f + 8; h = p + 11; q = g + 18. If g = 3, what is the resulting value of r?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = b + 2 to r, which gives r = b + 21.\n2. Substitute b = f + 8 to r, which gives r = f + 29.\n3. Substitute f = z + 10 to r, which gives r = z + 39.\n4. Substitute z = q + 20 to r, which gives r = q + 59.\n5. Substitute q = g + 18 to r, which gives r = g + 77.\n6. Substitute g = 3 to r, which gives r = 80.\n\nThus, the final answer is r = \\boxed{80}.",
"index": 6831,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = n + 14; s = h + 11; z = q + 20; f = z + 10; g = 3; n = m + 2; p = g + 12; m = s + 4; r = x + 19; x = b + 2; b = f + 8; h = p + 11; q = g + 18. If g = 3, what is the resulting value of r?",
"split": "train"
} |
{"problem": {"rules": {"n": "b + 16", "h": "n + 5", "f": "h + 10", "s": "f + 14", "o": "s + 2", "p": "o + 20", "i": "b + 5", "d": "i + 15", "w": "d + 11", "x": "w + 18", "a": "x + 14", "y": "a + 4", "b": 7}, "premises": {"b": 7}, "target": "p"}, "answer": {"steps": [["o", "s + 2", "s + 22"], ["s", "f + 14", "f + 36"], ["f", "h + 10", "h + 46"], ["h", "n + 5", "n + 51"], ["n", "b + 16", "b + 67"], ["b", 7, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"b": 7}, "is_reverse": true}} | 6,832 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: w = d + 11; h = n + 5; f = h + 10; a = x + 14; p = o + 20; y = a + 4; x = w + 18; s = f + 14; b = 7; d = i + 15; o = s + 2; n = b + 16; i = b + 5. Given that b = 7, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = s + 2 to p, which gives p = s + 22.\n2. Substitute s = f + 14 to p, which gives p = f + 36.\n3. Substitute f = h + 10 to p, which gives p = h + 46.\n4. Substitute h = n + 5 to p, which gives p = n + 51.\n5. Substitute n = b + 16 to p, which gives p = b + 67.\n6. Substitute b = 7 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 6832,
"question": "Suppose a collection of variables is related by the following definitions: w = d + 11; h = n + 5; f = h + 10; a = x + 14; p = o + 20; y = a + 4; x = w + 18; s = f + 14; b = 7; d = i + 15; o = s + 2; n = b + 16; i = b + 5. Given that b = 7, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"p": "s + 6", "w": "p + 5", "y": "w + 5", "b": "y + 17", "c": "b + 11", "j": "c + 2", "d": "s + 17", "o": "d + 16", "z": "o + 2", "l": "z + 1", "g": "l + 4", "i": "g + 10", "s": 16}, "premises": {"s": 16}, "target": "j"}, "answer": {"steps": [["c", "b + 11", "b + 13"], ["b", "y + 17", "y + 30"], ["y", "w + 5", "w + 35"], ["w", "p + 5", "p + 40"], ["p", "s + 6", "s + 46"], ["s", 16, "62"]], "target_var_name": "j", "target_value": 62, "value_dict": {"s": 16}, "is_reverse": true}} | 6,833 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = b + 11; g = l + 4; y = w + 5; i = g + 10; b = y + 17; d = s + 17; z = o + 2; l = z + 1; s = 16; j = c + 2; w = p + 5; o = d + 16; p = s + 6. Given that s = 16, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = b + 11 to j, which gives j = b + 13.\n2. Substitute b = y + 17 to j, which gives j = y + 30.\n3. Substitute y = w + 5 to j, which gives j = w + 35.\n4. Substitute w = p + 5 to j, which gives j = p + 40.\n5. Substitute p = s + 6 to j, which gives j = s + 46.\n6. Substitute s = 16 to j, which gives j = 62.\n\nThus, the final answer is j = \\boxed{62}.",
"index": 6833,
"question": "Suppose a collection of variables is related by the following definitions: c = b + 11; g = l + 4; y = w + 5; i = g + 10; b = y + 17; d = s + 17; z = o + 2; l = z + 1; s = 16; j = c + 2; w = p + 5; o = d + 16; p = s + 6. Given that s = 16, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"a": "f + 2", "l": "a + 2", "h": "l + 5", "m": "h + 19", "p": "m + 13", "r": "p + 8", "e": "f + 20", "v": "e + 4", "q": "v + 18", "i": "q + 14", "z": "i + 16", "o": "z + 8", "f": 6}, "premises": {"f": 6}, "target": "r"}, "answer": {"steps": [["p", "m + 13", "m + 21"], ["m", "h + 19", "h + 40"], ["h", "l + 5", "l + 45"], ["l", "a + 2", "a + 47"], ["a", "f + 2", "f + 49"], ["f", 6, "55"]], "target_var_name": "r", "target_value": 55, "value_dict": {"f": 6}, "is_reverse": true}} | 6,834 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = l + 5; a = f + 2; p = m + 13; z = i + 16; q = v + 18; o = z + 8; r = p + 8; e = f + 20; v = e + 4; m = h + 19; l = a + 2; f = 6; i = q + 14. If f = 6, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 13 to r, which gives r = m + 21.\n2. Substitute m = h + 19 to r, which gives r = h + 40.\n3. Substitute h = l + 5 to r, which gives r = l + 45.\n4. Substitute l = a + 2 to r, which gives r = a + 47.\n5. Substitute a = f + 2 to r, which gives r = f + 49.\n6. Substitute f = 6 to r, which gives r = 55.\n\nThus, the final answer is r = \\boxed{55}.",
"index": 6834,
"question": "Consider a system of variables where each variable is defined as follows: h = l + 5; a = f + 2; p = m + 13; z = i + 16; q = v + 18; o = z + 8; r = p + 8; e = f + 20; v = e + 4; m = h + 19; l = a + 2; f = 6; i = q + 14. If f = 6, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "n + 1", "l": "x + 4", "j": "l + 9", "h": "j + 20", "w": "h + 18", "o": "w + 7", "s": "n + 1", "c": "s + 4", "r": "c + 4", "a": "r + 11", "m": "a + 1", "u": "m + 10", "n": 16}, "premises": {"n": 16}, "target": "o"}, "answer": {"steps": [["w", "h + 18", "h + 25"], ["h", "j + 20", "j + 45"], ["j", "l + 9", "l + 54"], ["l", "x + 4", "x + 58"], ["x", "n + 1", "n + 59"], ["n", 16, "75"]], "target_var_name": "o", "target_value": 75, "value_dict": {"n": 16}, "is_reverse": true}} | 6,835 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = s + 4; o = w + 7; u = m + 10; l = x + 4; n = 16; x = n + 1; m = a + 1; a = r + 11; w = h + 18; r = c + 4; h = j + 20; s = n + 1; j = l + 9. Given that n = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 18 to o, which gives o = h + 25.\n2. Substitute h = j + 20 to o, which gives o = j + 45.\n3. Substitute j = l + 9 to o, which gives o = l + 54.\n4. Substitute l = x + 4 to o, which gives o = x + 58.\n5. Substitute x = n + 1 to o, which gives o = n + 59.\n6. Substitute n = 16 to o, which gives o = 75.\n\nThus, the final answer is o = \\boxed{75}.",
"index": 6835,
"question": "Suppose a collection of variables is related by the following definitions: c = s + 4; o = w + 7; u = m + 10; l = x + 4; n = 16; x = n + 1; m = a + 1; a = r + 11; w = h + 18; r = c + 4; h = j + 20; s = n + 1; j = l + 9. Given that n = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "u + 5", "k": "z + 4", "o": "k + 19", "c": "o + 19", "v": "c + 16", "m": "v + 4", "f": "u + 12", "e": "f + 19", "p": "e + 2", "h": "p + 20", "i": "h + 17", "s": "i + 5", "u": 19}, "premises": {"u": 19}, "target": "m"}, "answer": {"steps": [["v", "c + 16", "c + 20"], ["c", "o + 19", "o + 39"], ["o", "k + 19", "k + 58"], ["k", "z + 4", "z + 62"], ["z", "u + 5", "u + 67"], ["u", 19, "86"]], "target_var_name": "m", "target_value": 86, "value_dict": {"u": 19}, "is_reverse": true}} | 6,836 | 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 = e + 2; z = u + 5; s = i + 5; i = h + 17; u = 19; k = z + 4; e = f + 19; v = c + 16; o = k + 19; m = v + 4; h = p + 20; f = u + 12; c = o + 19. If u = 19, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 86,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 16 to m, which gives m = c + 20.\n2. Substitute c = o + 19 to m, which gives m = o + 39.\n3. Substitute o = k + 19 to m, which gives m = k + 58.\n4. Substitute k = z + 4 to m, which gives m = z + 62.\n5. Substitute z = u + 5 to m, which gives m = u + 67.\n6. Substitute u = 19 to m, which gives m = 86.\n\nThus, the final answer is m = \\boxed{86}.",
"index": 6836,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = e + 2; z = u + 5; s = i + 5; i = h + 17; u = 19; k = z + 4; e = f + 19; v = c + 16; o = k + 19; m = v + 4; h = p + 20; f = u + 12; c = o + 19. If u = 19, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"k": "u + 16", "r": "k + 20", "c": "r + 15", "e": "c + 9", "v": "e + 3", "q": "v + 8", "p": "u + 15", "h": "p + 16", "x": "h + 8", "a": "x + 11", "i": "a + 13", "d": "i + 8", "u": 7}, "premises": {"u": 7}, "target": "q"}, "answer": {"steps": [["v", "e + 3", "e + 11"], ["e", "c + 9", "c + 20"], ["c", "r + 15", "r + 35"], ["r", "k + 20", "k + 55"], ["k", "u + 16", "u + 71"], ["u", 7, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"u": 7}, "is_reverse": true}} | 6,837 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = 7; k = u + 16; c = r + 15; e = c + 9; v = e + 3; i = a + 13; h = p + 16; a = x + 11; x = h + 8; q = v + 8; d = i + 8; r = k + 20; p = u + 15. Given that u = 7, find the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = e + 3 to q, which gives q = e + 11.\n2. Substitute e = c + 9 to q, which gives q = c + 20.\n3. Substitute c = r + 15 to q, which gives q = r + 35.\n4. Substitute r = k + 20 to q, which gives q = k + 55.\n5. Substitute k = u + 16 to q, which gives q = u + 71.\n6. Substitute u = 7 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 6837,
"question": "Suppose a collection of variables is related by the following definitions: u = 7; k = u + 16; c = r + 15; e = c + 9; v = e + 3; i = a + 13; h = p + 16; a = x + 11; x = h + 8; q = v + 8; d = i + 8; r = k + 20; p = u + 15. Given that u = 7, find the value of q.",
"split": "train"
} |
{"problem": {"rules": {"f": "h + 6", "l": "f + 13", "a": "l + 18", "z": "a + 9", "c": "z + 6", "v": "c + 5", "t": "h + 3", "s": "t + 4", "n": "s + 3", "x": "n + 5", "y": "x + 15", "m": "y + 4", "h": 19}, "premises": {"h": 19}, "target": "v"}, "answer": {"steps": [["c", "z + 6", "z + 11"], ["z", "a + 9", "a + 20"], ["a", "l + 18", "l + 38"], ["l", "f + 13", "f + 51"], ["f", "h + 6", "h + 57"], ["h", 19, "76"]], "target_var_name": "v", "target_value": 76, "value_dict": {"h": 19}, "is_reverse": true}} | 6,838 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 5; l = f + 13; s = t + 4; v = c + 5; z = a + 9; a = l + 18; n = s + 3; m = y + 4; t = h + 3; y = x + 15; f = h + 6; c = z + 6; h = 19. If h = 19, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = z + 6 to v, which gives v = z + 11.\n2. Substitute z = a + 9 to v, which gives v = a + 20.\n3. Substitute a = l + 18 to v, which gives v = l + 38.\n4. Substitute l = f + 13 to v, which gives v = f + 51.\n5. Substitute f = h + 6 to v, which gives v = h + 57.\n6. Substitute h = 19 to v, which gives v = 76.\n\nThus, the final answer is v = \\boxed{76}.",
"index": 6838,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = n + 5; l = f + 13; s = t + 4; v = c + 5; z = a + 9; a = l + 18; n = s + 3; m = y + 4; t = h + 3; y = x + 15; f = h + 6; c = z + 6; h = 19. If h = 19, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 6", "o": "g + 6", "m": "o + 4", "r": "m + 6", "z": "r + 9", "v": "z + 6", "p": "n + 10", "w": "p + 20", "l": "w + 17", "x": "l + 5", "e": "x + 12", "c": "e + 11", "n": 7}, "premises": {"n": 7}, "target": "v"}, "answer": {"steps": [["z", "r + 9", "r + 15"], ["r", "m + 6", "m + 21"], ["m", "o + 4", "o + 25"], ["o", "g + 6", "g + 31"], ["g", "n + 6", "n + 37"], ["n", 7, "44"]], "target_var_name": "v", "target_value": 44, "value_dict": {"n": 7}, "is_reverse": true}} | 6,839 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = e + 11; m = o + 4; o = g + 6; z = r + 9; l = w + 17; w = p + 20; x = l + 5; e = x + 12; p = n + 10; n = 7; r = m + 6; g = n + 6; v = z + 6. If n = 7, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = r + 9 to v, which gives v = r + 15.\n2. Substitute r = m + 6 to v, which gives v = m + 21.\n3. Substitute m = o + 4 to v, which gives v = o + 25.\n4. Substitute o = g + 6 to v, which gives v = g + 31.\n5. Substitute g = n + 6 to v, which gives v = n + 37.\n6. Substitute n = 7 to v, which gives v = 44.\n\nThus, the final answer is v = \\boxed{44}.",
"index": 6839,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 11; m = o + 4; o = g + 6; z = r + 9; l = w + 17; w = p + 20; x = l + 5; e = x + 12; p = n + 10; n = 7; r = m + 6; g = n + 6; v = z + 6. If n = 7, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 15", "w": "b + 6", "r": "w + 1", "v": "r + 2", "e": "v + 14", "u": "e + 1", "x": "f + 18", "l": "x + 2", "y": "l + 1", "q": "y + 2", "o": "q + 2", "p": "o + 19", "f": 16}, "premises": {"f": 16}, "target": "u"}, "answer": {"steps": [["e", "v + 14", "v + 15"], ["v", "r + 2", "r + 17"], ["r", "w + 1", "w + 18"], ["w", "b + 6", "b + 24"], ["b", "f + 15", "f + 39"], ["f", 16, "55"]], "target_var_name": "u", "target_value": 55, "value_dict": {"f": 16}, "is_reverse": true}} | 6,840 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 1; e = v + 14; x = f + 18; o = q + 2; y = l + 1; f = 16; q = y + 2; p = o + 19; b = f + 15; v = r + 2; l = x + 2; w = b + 6; r = w + 1. If f = 16, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = v + 14 to u, which gives u = v + 15.\n2. Substitute v = r + 2 to u, which gives u = r + 17.\n3. Substitute r = w + 1 to u, which gives u = w + 18.\n4. Substitute w = b + 6 to u, which gives u = b + 24.\n5. Substitute b = f + 15 to u, which gives u = f + 39.\n6. Substitute f = 16 to u, which gives u = 55.\n\nThus, the final answer is u = \\boxed{55}.",
"index": 6840,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = e + 1; e = v + 14; x = f + 18; o = q + 2; y = l + 1; f = 16; q = y + 2; p = o + 19; b = f + 15; v = r + 2; l = x + 2; w = b + 6; r = w + 1. If f = 16, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"r": "a + 10", "h": "r + 8", "x": "h + 8", "f": "x + 19", "k": "f + 5", "n": "k + 18", "i": "a + 9", "s": "i + 15", "v": "s + 18", "t": "v + 10", "o": "t + 3", "w": "o + 5", "a": 8}, "premises": {"a": 8}, "target": "n"}, "answer": {"steps": [["k", "f + 5", "f + 23"], ["f", "x + 19", "x + 42"], ["x", "h + 8", "h + 50"], ["h", "r + 8", "r + 58"], ["r", "a + 10", "a + 68"], ["a", 8, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"a": 8}, "is_reverse": true}} | 6,841 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = 8; w = o + 5; t = v + 10; v = s + 18; o = t + 3; f = x + 19; k = f + 5; h = r + 8; i = a + 9; s = i + 15; n = k + 18; r = a + 10; x = h + 8. If a = 8, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = f + 5 to n, which gives n = f + 23.\n2. Substitute f = x + 19 to n, which gives n = x + 42.\n3. Substitute x = h + 8 to n, which gives n = h + 50.\n4. Substitute h = r + 8 to n, which gives n = r + 58.\n5. Substitute r = a + 10 to n, which gives n = a + 68.\n6. Substitute a = 8 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 6841,
"question": "Consider a system of variables where each variable is defined as follows: a = 8; w = o + 5; t = v + 10; v = s + 18; o = t + 3; f = x + 19; k = f + 5; h = r + 8; i = a + 9; s = i + 15; n = k + 18; r = a + 10; x = h + 8. If a = 8, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 9", "i": "o + 20", "x": "i + 6", "p": "x + 10", "s": "p + 19", "b": "s + 6", "f": "y + 12", "d": "f + 20", "e": "d + 6", "a": "e + 16", "r": "a + 4", "t": "r + 16", "y": 13}, "premises": {"y": 13}, "target": "b"}, "answer": {"steps": [["s", "p + 19", "p + 25"], ["p", "x + 10", "x + 35"], ["x", "i + 6", "i + 41"], ["i", "o + 20", "o + 61"], ["o", "y + 9", "y + 70"], ["y", 13, "83"]], "target_var_name": "b", "target_value": 83, "value_dict": {"y": 13}, "is_reverse": true}} | 6,842 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = a + 4; a = e + 16; f = y + 12; s = p + 19; t = r + 16; p = x + 10; o = y + 9; b = s + 6; e = d + 6; y = 13; x = i + 6; i = o + 20; d = f + 20. Given that y = 13, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = p + 19 to b, which gives b = p + 25.\n2. Substitute p = x + 10 to b, which gives b = x + 35.\n3. Substitute x = i + 6 to b, which gives b = i + 41.\n4. Substitute i = o + 20 to b, which gives b = o + 61.\n5. Substitute o = y + 9 to b, which gives b = y + 70.\n6. Substitute y = 13 to b, which gives b = 83.\n\nThus, the final answer is b = \\boxed{83}.",
"index": 6842,
"question": "Suppose a collection of variables is related by the following definitions: r = a + 4; a = e + 16; f = y + 12; s = p + 19; t = r + 16; p = x + 10; o = y + 9; b = s + 6; e = d + 6; y = 13; x = i + 6; i = o + 20; d = f + 20. Given that y = 13, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 7", "n": "o + 10", "b": "n + 19", "v": "b + 2", "z": "v + 15", "q": "z + 10", "h": "s + 1", "f": "h + 10", "x": "f + 10", "u": "x + 8", "r": "u + 14", "m": "r + 3", "s": 12}, "premises": {"s": 12}, "target": "q"}, "answer": {"steps": [["z", "v + 15", "v + 25"], ["v", "b + 2", "b + 27"], ["b", "n + 19", "n + 46"], ["n", "o + 10", "o + 56"], ["o", "s + 7", "s + 63"], ["s", 12, "75"]], "target_var_name": "q", "target_value": 75, "value_dict": {"s": 12}, "is_reverse": true}} | 6,843 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = h + 10; h = s + 1; m = r + 3; u = x + 8; r = u + 14; s = 12; v = b + 2; o = s + 7; z = v + 15; n = o + 10; x = f + 10; b = n + 19; q = z + 10. If s = 12, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 15 to q, which gives q = v + 25.\n2. Substitute v = b + 2 to q, which gives q = b + 27.\n3. Substitute b = n + 19 to q, which gives q = n + 46.\n4. Substitute n = o + 10 to q, which gives q = o + 56.\n5. Substitute o = s + 7 to q, which gives q = s + 63.\n6. Substitute s = 12 to q, which gives q = 75.\n\nThus, the final answer is q = \\boxed{75}.",
"index": 6843,
"question": "Consider a system of variables where each variable is defined as follows: f = h + 10; h = s + 1; m = r + 3; u = x + 8; r = u + 14; s = 12; v = b + 2; o = s + 7; z = v + 15; n = o + 10; x = f + 10; b = n + 19; q = z + 10. If s = 12, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"h": "w + 20", "c": "h + 18", "t": "c + 6", "e": "t + 11", "k": "e + 4", "f": "k + 17", "m": "w + 7", "u": "m + 16", "q": "u + 10", "s": "q + 13", "b": "s + 12", "o": "b + 2", "w": 2}, "premises": {"w": 2}, "target": "f"}, "answer": {"steps": [["k", "e + 4", "e + 21"], ["e", "t + 11", "t + 32"], ["t", "c + 6", "c + 38"], ["c", "h + 18", "h + 56"], ["h", "w + 20", "w + 76"], ["w", 2, "78"]], "target_var_name": "f", "target_value": 78, "value_dict": {"w": 2}, "is_reverse": true}} | 6,844 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = b + 2; k = e + 4; m = w + 7; e = t + 11; q = u + 10; f = k + 17; w = 2; b = s + 12; c = h + 18; s = q + 13; u = m + 16; t = c + 6; h = w + 20. If w = 2, 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 k = e + 4 to f, which gives f = e + 21.\n2. Substitute e = t + 11 to f, which gives f = t + 32.\n3. Substitute t = c + 6 to f, which gives f = c + 38.\n4. Substitute c = h + 18 to f, which gives f = h + 56.\n5. Substitute h = w + 20 to f, which gives f = w + 76.\n6. Substitute w = 2 to f, which gives f = 78.\n\nThus, the final answer is f = \\boxed{78}.",
"index": 6844,
"question": "Consider a system of variables where each variable is defined as follows: o = b + 2; k = e + 4; m = w + 7; e = t + 11; q = u + 10; f = k + 17; w = 2; b = s + 12; c = h + 18; s = q + 13; u = m + 16; t = c + 6; h = w + 20. If w = 2, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"w": "m + 17", "t": "w + 2", "n": "t + 16", "z": "n + 17", "f": "z + 20", "u": "f + 16", "s": "m + 19", "r": "s + 1", "j": "r + 20", "a": "j + 4", "k": "a + 5", "x": "k + 1", "m": 2}, "premises": {"m": 2}, "target": "u"}, "answer": {"steps": [["f", "z + 20", "z + 36"], ["z", "n + 17", "n + 53"], ["n", "t + 16", "t + 69"], ["t", "w + 2", "w + 71"], ["w", "m + 17", "m + 88"], ["m", 2, "90"]], "target_var_name": "u", "target_value": 90, "value_dict": {"m": 2}, "is_reverse": true}} | 6,845 | 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 = m + 19; m = 2; n = t + 16; r = s + 1; a = j + 4; k = a + 5; t = w + 2; w = m + 17; x = k + 1; f = z + 20; z = n + 17; u = f + 16; j = r + 20. If m = 2, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = z + 20 to u, which gives u = z + 36.\n2. Substitute z = n + 17 to u, which gives u = n + 53.\n3. Substitute n = t + 16 to u, which gives u = t + 69.\n4. Substitute t = w + 2 to u, which gives u = w + 71.\n5. Substitute w = m + 17 to u, which gives u = m + 88.\n6. Substitute m = 2 to u, which gives u = 90.\n\nThus, the final answer is u = \\boxed{90}.",
"index": 6845,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = m + 19; m = 2; n = t + 16; r = s + 1; a = j + 4; k = a + 5; t = w + 2; w = m + 17; x = k + 1; f = z + 20; z = n + 17; u = f + 16; j = r + 20. If m = 2, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 18", "s": "m + 3", "w": "s + 15", "k": "w + 5", "u": "k + 14", "f": "u + 11", "v": "q + 16", "d": "v + 10", "z": "d + 14", "e": "z + 9", "l": "e + 17", "x": "l + 11", "q": 3}, "premises": {"q": 3}, "target": "f"}, "answer": {"steps": [["u", "k + 14", "k + 25"], ["k", "w + 5", "w + 30"], ["w", "s + 15", "s + 45"], ["s", "m + 3", "m + 48"], ["m", "q + 18", "q + 66"], ["q", 3, "69"]], "target_var_name": "f", "target_value": 69, "value_dict": {"q": 3}, "is_reverse": true}} | 6,846 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: z = d + 14; f = u + 11; q = 3; m = q + 18; w = s + 15; u = k + 14; l = e + 17; e = z + 9; s = m + 3; v = q + 16; x = l + 11; k = w + 5; d = v + 10. If q = 3, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 69,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = k + 14 to f, which gives f = k + 25.\n2. Substitute k = w + 5 to f, which gives f = w + 30.\n3. Substitute w = s + 15 to f, which gives f = s + 45.\n4. Substitute s = m + 3 to f, which gives f = m + 48.\n5. Substitute m = q + 18 to f, which gives f = q + 66.\n6. Substitute q = 3 to f, which gives f = 69.\n\nThus, the final answer is f = \\boxed{69}.",
"index": 6846,
"question": "Consider a system of variables where each variable is defined as follows: z = d + 14; f = u + 11; q = 3; m = q + 18; w = s + 15; u = k + 14; l = e + 17; e = z + 9; s = m + 3; v = q + 16; x = l + 11; k = w + 5; d = v + 10. If q = 3, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"j": "k + 17", "m": "j + 9", "n": "m + 18", "y": "n + 6", "r": "y + 6", "b": "r + 4", "d": "k + 17", "e": "d + 6", "p": "e + 18", "q": "p + 17", "v": "q + 6", "i": "v + 20", "k": 17}, "premises": {"k": 17}, "target": "b"}, "answer": {"steps": [["r", "y + 6", "y + 10"], ["y", "n + 6", "n + 16"], ["n", "m + 18", "m + 34"], ["m", "j + 9", "j + 43"], ["j", "k + 17", "k + 60"], ["k", 17, "77"]], "target_var_name": "b", "target_value": 77, "value_dict": {"k": 17}, "is_reverse": true}} | 6,847 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = e + 18; r = y + 6; v = q + 6; q = p + 17; i = v + 20; e = d + 6; d = k + 17; j = k + 17; m = j + 9; k = 17; b = r + 4; y = n + 6; n = m + 18. Given that k = 17, find the 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 r = y + 6 to b, which gives b = y + 10.\n2. Substitute y = n + 6 to b, which gives b = n + 16.\n3. Substitute n = m + 18 to b, which gives b = m + 34.\n4. Substitute m = j + 9 to b, which gives b = j + 43.\n5. Substitute j = k + 17 to b, which gives b = k + 60.\n6. Substitute k = 17 to b, which gives b = 77.\n\nThus, the final answer is b = \\boxed{77}.",
"index": 6847,
"question": "Suppose a collection of variables is related by the following definitions: p = e + 18; r = y + 6; v = q + 6; q = p + 17; i = v + 20; e = d + 6; d = k + 17; j = k + 17; m = j + 9; k = 17; b = r + 4; y = n + 6; n = m + 18. Given that k = 17, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"j": "h + 5", "q": "j + 9", "y": "q + 20", "a": "y + 12", "g": "a + 19", "b": "g + 19", "c": "h + 4", "x": "c + 9", "z": "x + 3", "u": "z + 11", "s": "u + 19", "f": "s + 15", "h": 17}, "premises": {"h": 17}, "target": "b"}, "answer": {"steps": [["g", "a + 19", "a + 38"], ["a", "y + 12", "y + 50"], ["y", "q + 20", "q + 70"], ["q", "j + 9", "j + 79"], ["j", "h + 5", "h + 84"], ["h", 17, "101"]], "target_var_name": "b", "target_value": 101, "value_dict": {"h": 17}, "is_reverse": true}} | 6,848 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = j + 9; b = g + 19; h = 17; g = a + 19; y = q + 20; u = z + 11; a = y + 12; j = h + 5; x = c + 9; c = h + 4; f = s + 15; s = u + 19; z = x + 3. If h = 17, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 19 to b, which gives b = a + 38.\n2. Substitute a = y + 12 to b, which gives b = y + 50.\n3. Substitute y = q + 20 to b, which gives b = q + 70.\n4. Substitute q = j + 9 to b, which gives b = j + 79.\n5. Substitute j = h + 5 to b, which gives b = h + 84.\n6. Substitute h = 17 to b, which gives b = 101.\n\nThus, the final answer is b = \\boxed{101}.",
"index": 6848,
"question": "Consider a system of variables where each variable is defined as follows: q = j + 9; b = g + 19; h = 17; g = a + 19; y = q + 20; u = z + 11; a = y + 12; j = h + 5; x = c + 9; c = h + 4; f = s + 15; s = u + 19; z = x + 3. If h = 17, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"m": "q + 14", "d": "m + 10", "j": "d + 17", "i": "j + 15", "a": "i + 20", "k": "a + 4", "f": "q + 1", "x": "f + 1", "v": "x + 18", "b": "v + 20", "w": "b + 18", "e": "w + 6", "q": 15}, "premises": {"q": 15}, "target": "k"}, "answer": {"steps": [["a", "i + 20", "i + 24"], ["i", "j + 15", "j + 39"], ["j", "d + 17", "d + 56"], ["d", "m + 10", "m + 66"], ["m", "q + 14", "q + 80"], ["q", 15, "95"]], "target_var_name": "k", "target_value": 95, "value_dict": {"q": 15}, "is_reverse": true}} | 6,849 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = m + 10; e = w + 6; b = v + 20; i = j + 15; k = a + 4; f = q + 1; a = i + 20; q = 15; v = x + 18; m = q + 14; x = f + 1; j = d + 17; w = b + 18. Given that q = 15, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 95,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = i + 20 to k, which gives k = i + 24.\n2. Substitute i = j + 15 to k, which gives k = j + 39.\n3. Substitute j = d + 17 to k, which gives k = d + 56.\n4. Substitute d = m + 10 to k, which gives k = m + 66.\n5. Substitute m = q + 14 to k, which gives k = q + 80.\n6. Substitute q = 15 to k, which gives k = 95.\n\nThus, the final answer is k = \\boxed{95}.",
"index": 6849,
"question": "Suppose a collection of variables is related by the following definitions: d = m + 10; e = w + 6; b = v + 20; i = j + 15; k = a + 4; f = q + 1; a = i + 20; q = 15; v = x + 18; m = q + 14; x = f + 1; j = d + 17; w = b + 18. Given that q = 15, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"c": "g + 17", "m": "c + 8", "o": "m + 7", "q": "o + 20", "e": "q + 12", "v": "e + 5", "x": "g + 7", "s": "x + 8", "n": "s + 15", "l": "n + 8", "y": "l + 6", "j": "y + 9", "g": 8}, "premises": {"g": 8}, "target": "v"}, "answer": {"steps": [["e", "q + 12", "q + 17"], ["q", "o + 20", "o + 37"], ["o", "m + 7", "m + 44"], ["m", "c + 8", "c + 52"], ["c", "g + 17", "g + 69"], ["g", 8, "77"]], "target_var_name": "v", "target_value": 77, "value_dict": {"g": 8}, "is_reverse": true}} | 6,850 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = s + 15; x = g + 7; m = c + 8; c = g + 17; q = o + 20; o = m + 7; j = y + 9; e = q + 12; v = e + 5; s = x + 8; g = 8; y = l + 6; l = n + 8. Given that g = 8, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = q + 12 to v, which gives v = q + 17.\n2. Substitute q = o + 20 to v, which gives v = o + 37.\n3. Substitute o = m + 7 to v, which gives v = m + 44.\n4. Substitute m = c + 8 to v, which gives v = c + 52.\n5. Substitute c = g + 17 to v, which gives v = g + 69.\n6. Substitute g = 8 to v, which gives v = 77.\n\nThus, the final answer is v = \\boxed{77}.",
"index": 6850,
"question": "Suppose a collection of variables is related by the following definitions: n = s + 15; x = g + 7; m = c + 8; c = g + 17; q = o + 20; o = m + 7; j = y + 9; e = q + 12; v = e + 5; s = x + 8; g = 8; y = l + 6; l = n + 8. Given that g = 8, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"o": "y + 19", "q": "o + 14", "s": "q + 3", "a": "s + 17", "k": "a + 10", "t": "k + 17", "u": "y + 17", "m": "u + 3", "f": "m + 4", "g": "f + 7", "h": "g + 15", "w": "h + 13", "y": 9}, "premises": {"y": 9}, "target": "t"}, "answer": {"steps": [["k", "a + 10", "a + 27"], ["a", "s + 17", "s + 44"], ["s", "q + 3", "q + 47"], ["q", "o + 14", "o + 61"], ["o", "y + 19", "y + 80"], ["y", 9, "89"]], "target_var_name": "t", "target_value": 89, "value_dict": {"y": 9}, "is_reverse": true}} | 6,851 | 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 = y + 19; w = h + 13; a = s + 17; u = y + 17; y = 9; g = f + 7; t = k + 17; h = g + 15; k = a + 10; s = q + 3; m = u + 3; f = m + 4; q = o + 14. If y = 9, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = a + 10 to t, which gives t = a + 27.\n2. Substitute a = s + 17 to t, which gives t = s + 44.\n3. Substitute s = q + 3 to t, which gives t = q + 47.\n4. Substitute q = o + 14 to t, which gives t = o + 61.\n5. Substitute o = y + 19 to t, which gives t = y + 80.\n6. Substitute y = 9 to t, which gives t = 89.\n\nThus, the final answer is t = \\boxed{89}.",
"index": 6851,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 19; w = h + 13; a = s + 17; u = y + 17; y = 9; g = f + 7; t = k + 17; h = g + 15; k = a + 10; s = q + 3; m = u + 3; f = m + 4; q = o + 14. If y = 9, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"q": "h + 8", "g": "q + 3", "u": "g + 13", "m": "u + 15", "p": "m + 4", "s": "p + 6", "l": "h + 7", "v": "l + 9", "o": "v + 17", "r": "o + 19", "b": "r + 10", "z": "b + 4", "h": 4}, "premises": {"h": 4}, "target": "s"}, "answer": {"steps": [["p", "m + 4", "m + 10"], ["m", "u + 15", "u + 25"], ["u", "g + 13", "g + 38"], ["g", "q + 3", "q + 41"], ["q", "h + 8", "h + 49"], ["h", 4, "53"]], "target_var_name": "s", "target_value": 53, "value_dict": {"h": 4}, "is_reverse": true}} | 6,852 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = 4; m = u + 15; l = h + 7; g = q + 3; s = p + 6; b = r + 10; p = m + 4; o = v + 17; q = h + 8; u = g + 13; z = b + 4; r = o + 19; v = l + 9. If h = 4, what is the resulting value of s?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 4 to s, which gives s = m + 10.\n2. Substitute m = u + 15 to s, which gives s = u + 25.\n3. Substitute u = g + 13 to s, which gives s = g + 38.\n4. Substitute g = q + 3 to s, which gives s = q + 41.\n5. Substitute q = h + 8 to s, which gives s = h + 49.\n6. Substitute h = 4 to s, which gives s = 53.\n\nThus, the final answer is s = \\boxed{53}.",
"index": 6852,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = 4; m = u + 15; l = h + 7; g = q + 3; s = p + 6; b = r + 10; p = m + 4; o = v + 17; q = h + 8; u = g + 13; z = b + 4; r = o + 19; v = l + 9. If h = 4, what is the resulting value of s?",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 17", "b": "r + 10", "c": "b + 18", "u": "c + 20", "w": "u + 14", "o": "w + 5", "g": "l + 3", "e": "g + 13", "m": "e + 8", "d": "m + 16", "i": "d + 1", "t": "i + 12", "l": 17}, "premises": {"l": 17}, "target": "o"}, "answer": {"steps": [["w", "u + 14", "u + 19"], ["u", "c + 20", "c + 39"], ["c", "b + 18", "b + 57"], ["b", "r + 10", "r + 67"], ["r", "l + 17", "l + 84"], ["l", 17, "101"]], "target_var_name": "o", "target_value": 101, "value_dict": {"l": 17}, "is_reverse": true}} | 6,853 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 1; e = g + 13; u = c + 20; d = m + 16; w = u + 14; t = i + 12; l = 17; g = l + 3; r = l + 17; m = e + 8; b = r + 10; c = b + 18; o = w + 5. If l = 17, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = u + 14 to o, which gives o = u + 19.\n2. Substitute u = c + 20 to o, which gives o = c + 39.\n3. Substitute c = b + 18 to o, which gives o = b + 57.\n4. Substitute b = r + 10 to o, which gives o = r + 67.\n5. Substitute r = l + 17 to o, which gives o = l + 84.\n6. Substitute l = 17 to o, which gives o = 101.\n\nThus, the final answer is o = \\boxed{101}.",
"index": 6853,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = d + 1; e = g + 13; u = c + 20; d = m + 16; w = u + 14; t = i + 12; l = 17; g = l + 3; r = l + 17; m = e + 8; b = r + 10; c = b + 18; o = w + 5. If l = 17, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"r": "l + 3", "j": "r + 19", "y": "j + 12", "i": "y + 8", "m": "i + 4", "p": "m + 14", "c": "l + 4", "x": "c + 17", "t": "x + 6", "u": "t + 20", "s": "u + 10", "g": "s + 18", "l": 14}, "premises": {"l": 14}, "target": "p"}, "answer": {"steps": [["m", "i + 4", "i + 18"], ["i", "y + 8", "y + 26"], ["y", "j + 12", "j + 38"], ["j", "r + 19", "r + 57"], ["r", "l + 3", "l + 60"], ["l", 14, "74"]], "target_var_name": "p", "target_value": 74, "value_dict": {"l": 14}, "is_reverse": true}} | 6,854 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = m + 14; t = x + 6; x = c + 17; i = y + 8; u = t + 20; r = l + 3; l = 14; y = j + 12; s = u + 10; c = l + 4; j = r + 19; m = i + 4; g = s + 18. Given that l = 14, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = i + 4 to p, which gives p = i + 18.\n2. Substitute i = y + 8 to p, which gives p = y + 26.\n3. Substitute y = j + 12 to p, which gives p = j + 38.\n4. Substitute j = r + 19 to p, which gives p = r + 57.\n5. Substitute r = l + 3 to p, which gives p = l + 60.\n6. Substitute l = 14 to p, which gives p = 74.\n\nThus, the final answer is p = \\boxed{74}.",
"index": 6854,
"question": "Suppose a collection of variables is related by the following definitions: p = m + 14; t = x + 6; x = c + 17; i = y + 8; u = t + 20; r = l + 3; l = 14; y = j + 12; s = u + 10; c = l + 4; j = r + 19; m = i + 4; g = s + 18. Given that l = 14, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"n": "h + 7", "m": "n + 11", "t": "m + 17", "l": "t + 11", "w": "l + 4", "j": "w + 19", "q": "h + 7", "e": "q + 8", "k": "e + 17", "c": "k + 19", "g": "c + 15", "r": "g + 6", "h": 2}, "premises": {"h": 2}, "target": "j"}, "answer": {"steps": [["w", "l + 4", "l + 23"], ["l", "t + 11", "t + 34"], ["t", "m + 17", "m + 51"], ["m", "n + 11", "n + 62"], ["n", "h + 7", "h + 69"], ["h", 2, "71"]], "target_var_name": "j", "target_value": 71, "value_dict": {"h": 2}, "is_reverse": true}} | 6,855 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = h + 7; g = c + 15; e = q + 8; c = k + 19; q = h + 7; r = g + 6; k = e + 17; t = m + 17; w = l + 4; m = n + 11; h = 2; j = w + 19; l = t + 11. If h = 2, determine the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 4 to j, which gives j = l + 23.\n2. Substitute l = t + 11 to j, which gives j = t + 34.\n3. Substitute t = m + 17 to j, which gives j = m + 51.\n4. Substitute m = n + 11 to j, which gives j = n + 62.\n5. Substitute n = h + 7 to j, which gives j = h + 69.\n6. Substitute h = 2 to j, which gives j = 71.\n\nThus, the final answer is j = \\boxed{71}.",
"index": 6855,
"question": "Consider a system of variables where each variable is defined as follows: n = h + 7; g = c + 15; e = q + 8; c = k + 19; q = h + 7; r = g + 6; k = e + 17; t = m + 17; w = l + 4; m = n + 11; h = 2; j = w + 19; l = t + 11. If h = 2, determine the value of j.",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 15", "b": "p + 2", "y": "b + 5", "t": "y + 8", "l": "t + 8", "a": "l + 14", "z": "j + 10", "f": "z + 7", "n": "f + 2", "m": "n + 1", "g": "m + 2", "x": "g + 3", "j": 3}, "premises": {"j": 3}, "target": "a"}, "answer": {"steps": [["l", "t + 8", "t + 22"], ["t", "y + 8", "y + 30"], ["y", "b + 5", "b + 35"], ["b", "p + 2", "p + 37"], ["p", "j + 15", "j + 52"], ["j", 3, "55"]], "target_var_name": "a", "target_value": 55, "value_dict": {"j": 3}, "is_reverse": true}} | 6,856 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = t + 8; m = n + 1; p = j + 15; n = f + 2; x = g + 3; y = b + 5; t = y + 8; z = j + 10; a = l + 14; j = 3; g = m + 2; b = p + 2; f = z + 7. If j = 3, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = t + 8 to a, which gives a = t + 22.\n2. Substitute t = y + 8 to a, which gives a = y + 30.\n3. Substitute y = b + 5 to a, which gives a = b + 35.\n4. Substitute b = p + 2 to a, which gives a = p + 37.\n5. Substitute p = j + 15 to a, which gives a = j + 52.\n6. Substitute j = 3 to a, which gives a = 55.\n\nThus, the final answer is a = \\boxed{55}.",
"index": 6856,
"question": "Consider a system of variables where each variable is defined as follows: l = t + 8; m = n + 1; p = j + 15; n = f + 2; x = g + 3; y = b + 5; t = y + 8; z = j + 10; a = l + 14; j = 3; g = m + 2; b = p + 2; f = z + 7. If j = 3, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"y": "f + 7", "s": "y + 4", "g": "s + 8", "n": "g + 20", "q": "n + 2", "k": "q + 12", "v": "f + 2", "w": "v + 16", "o": "w + 1", "m": "o + 5", "t": "m + 19", "u": "t + 15", "f": 1}, "premises": {"f": 1}, "target": "k"}, "answer": {"steps": [["q", "n + 2", "n + 14"], ["n", "g + 20", "g + 34"], ["g", "s + 8", "s + 42"], ["s", "y + 4", "y + 46"], ["y", "f + 7", "f + 53"], ["f", 1, "54"]], "target_var_name": "k", "target_value": 54, "value_dict": {"f": 1}, "is_reverse": true}} | 6,857 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = f + 7; v = f + 2; m = o + 5; g = s + 8; n = g + 20; k = q + 12; q = n + 2; u = t + 15; s = y + 4; t = m + 19; w = v + 16; f = 1; o = w + 1. Given that f = 1, find the value of k.",
"role": "user"
}
] | math | {
"ground_truth": 54,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = n + 2 to k, which gives k = n + 14.\n2. Substitute n = g + 20 to k, which gives k = g + 34.\n3. Substitute g = s + 8 to k, which gives k = s + 42.\n4. Substitute s = y + 4 to k, which gives k = y + 46.\n5. Substitute y = f + 7 to k, which gives k = f + 53.\n6. Substitute f = 1 to k, which gives k = 54.\n\nThus, the final answer is k = \\boxed{54}.",
"index": 6857,
"question": "Suppose a collection of variables is related by the following definitions: y = f + 7; v = f + 2; m = o + 5; g = s + 8; n = g + 20; k = q + 12; q = n + 2; u = t + 15; s = y + 4; t = m + 19; w = v + 16; f = 1; o = w + 1. Given that f = 1, find the value of k.",
"split": "train"
} |
{"problem": {"rules": {"t": "m + 13", "q": "t + 7", "j": "q + 5", "d": "j + 2", "p": "d + 17", "z": "p + 8", "w": "m + 13", "k": "w + 4", "c": "k + 4", "a": "c + 2", "l": "a + 17", "s": "l + 8", "m": 7}, "premises": {"m": 7}, "target": "z"}, "answer": {"steps": [["p", "d + 17", "d + 25"], ["d", "j + 2", "j + 27"], ["j", "q + 5", "q + 32"], ["q", "t + 7", "t + 39"], ["t", "m + 13", "m + 52"], ["m", 7, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"m": 7}, "is_reverse": true}} | 6,858 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 17; d = j + 2; c = k + 4; k = w + 4; z = p + 8; t = m + 13; s = l + 8; m = 7; w = m + 13; j = q + 5; q = t + 7; a = c + 2; l = a + 17. If m = 7, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = d + 17 to z, which gives z = d + 25.\n2. Substitute d = j + 2 to z, which gives z = j + 27.\n3. Substitute j = q + 5 to z, which gives z = q + 32.\n4. Substitute q = t + 7 to z, which gives z = t + 39.\n5. Substitute t = m + 13 to z, which gives z = m + 52.\n6. Substitute m = 7 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 6858,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 17; d = j + 2; c = k + 4; k = w + 4; z = p + 8; t = m + 13; s = l + 8; m = 7; w = m + 13; j = q + 5; q = t + 7; a = c + 2; l = a + 17. If m = 7, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "n + 10", "x": "u + 19", "c": "x + 18", "b": "c + 6", "i": "b + 5", "a": "i + 18", "g": "n + 4", "f": "g + 4", "e": "f + 6", "p": "e + 15", "s": "p + 4", "r": "s + 10", "n": 16}, "premises": {"n": 16}, "target": "a"}, "answer": {"steps": [["i", "b + 5", "b + 23"], ["b", "c + 6", "c + 29"], ["c", "x + 18", "x + 47"], ["x", "u + 19", "u + 66"], ["u", "n + 10", "n + 76"], ["n", 16, "92"]], "target_var_name": "a", "target_value": 92, "value_dict": {"n": 16}, "is_reverse": true}} | 6,859 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 10; p = e + 15; b = c + 6; g = n + 4; e = f + 6; r = s + 10; x = u + 19; n = 16; s = p + 4; i = b + 5; c = x + 18; a = i + 18; f = g + 4. If n = 16, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 92,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = b + 5 to a, which gives a = b + 23.\n2. Substitute b = c + 6 to a, which gives a = c + 29.\n3. Substitute c = x + 18 to a, which gives a = x + 47.\n4. Substitute x = u + 19 to a, which gives a = u + 66.\n5. Substitute u = n + 10 to a, which gives a = n + 76.\n6. Substitute n = 16 to a, which gives a = 92.\n\nThus, the final answer is a = \\boxed{92}.",
"index": 6859,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = n + 10; p = e + 15; b = c + 6; g = n + 4; e = f + 6; r = s + 10; x = u + 19; n = 16; s = p + 4; i = b + 5; c = x + 18; a = i + 18; f = g + 4. If n = 16, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"r": "h + 4", "u": "r + 12", "e": "u + 18", "j": "e + 15", "p": "j + 4", "o": "p + 19", "b": "h + 2", "y": "b + 17", "f": "y + 13", "i": "f + 17", "z": "i + 12", "x": "z + 1", "h": 11}, "premises": {"h": 11}, "target": "o"}, "answer": {"steps": [["p", "j + 4", "j + 23"], ["j", "e + 15", "e + 38"], ["e", "u + 18", "u + 56"], ["u", "r + 12", "r + 68"], ["r", "h + 4", "h + 72"], ["h", 11, "83"]], "target_var_name": "o", "target_value": 83, "value_dict": {"h": 11}, "is_reverse": true}} | 6,860 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = h + 4; i = f + 17; h = 11; o = p + 19; u = r + 12; x = z + 1; j = e + 15; y = b + 17; f = y + 13; z = i + 12; p = j + 4; b = h + 2; e = u + 18. If h = 11, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = j + 4 to o, which gives o = j + 23.\n2. Substitute j = e + 15 to o, which gives o = e + 38.\n3. Substitute e = u + 18 to o, which gives o = u + 56.\n4. Substitute u = r + 12 to o, which gives o = r + 68.\n5. Substitute r = h + 4 to o, which gives o = h + 72.\n6. Substitute h = 11 to o, which gives o = 83.\n\nThus, the final answer is o = \\boxed{83}.",
"index": 6860,
"question": "Consider a system of variables where each variable is defined as follows: r = h + 4; i = f + 17; h = 11; o = p + 19; u = r + 12; x = z + 1; j = e + 15; y = b + 17; f = y + 13; z = i + 12; p = j + 4; b = h + 2; e = u + 18. If h = 11, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"v": "m + 7", "u": "v + 1", "g": "u + 15", "t": "g + 16", "o": "t + 14", "l": "o + 4", "z": "m + 18", "n": "z + 9", "r": "n + 7", "h": "r + 14", "j": "h + 9", "a": "j + 5", "m": 6}, "premises": {"m": 6}, "target": "l"}, "answer": {"steps": [["o", "t + 14", "t + 18"], ["t", "g + 16", "g + 34"], ["g", "u + 15", "u + 49"], ["u", "v + 1", "v + 50"], ["v", "m + 7", "m + 57"], ["m", 6, "63"]], "target_var_name": "l", "target_value": 63, "value_dict": {"m": 6}, "is_reverse": true}} | 6,861 | 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 = j + 5; t = g + 16; r = n + 7; v = m + 7; o = t + 14; j = h + 9; g = u + 15; m = 6; z = m + 18; l = o + 4; u = v + 1; h = r + 14; n = z + 9. If m = 6, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = t + 14 to l, which gives l = t + 18.\n2. Substitute t = g + 16 to l, which gives l = g + 34.\n3. Substitute g = u + 15 to l, which gives l = u + 49.\n4. Substitute u = v + 1 to l, which gives l = v + 50.\n5. Substitute v = m + 7 to l, which gives l = m + 57.\n6. Substitute m = 6 to l, which gives l = 63.\n\nThus, the final answer is l = \\boxed{63}.",
"index": 6861,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = j + 5; t = g + 16; r = n + 7; v = m + 7; o = t + 14; j = h + 9; g = u + 15; m = 6; z = m + 18; l = o + 4; u = v + 1; h = r + 14; n = z + 9. If m = 6, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "w + 20", "f": "p + 12", "h": "f + 19", "e": "h + 8", "z": "e + 9", "d": "z + 20", "u": "w + 16", "a": "u + 13", "k": "a + 4", "r": "k + 2", "v": "r + 9", "l": "v + 20", "w": 2}, "premises": {"w": 2}, "target": "d"}, "answer": {"steps": [["z", "e + 9", "e + 29"], ["e", "h + 8", "h + 37"], ["h", "f + 19", "f + 56"], ["f", "p + 12", "p + 68"], ["p", "w + 20", "w + 88"], ["w", 2, "90"]], "target_var_name": "d", "target_value": 90, "value_dict": {"w": 2}, "is_reverse": true}} | 6,862 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = a + 4; p = w + 20; a = u + 13; d = z + 20; w = 2; f = p + 12; v = r + 9; z = e + 9; r = k + 2; e = h + 8; h = f + 19; u = w + 16; l = v + 20. If w = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 9 to d, which gives d = e + 29.\n2. Substitute e = h + 8 to d, which gives d = h + 37.\n3. Substitute h = f + 19 to d, which gives d = f + 56.\n4. Substitute f = p + 12 to d, which gives d = p + 68.\n5. Substitute p = w + 20 to d, which gives d = w + 88.\n6. Substitute w = 2 to d, which gives d = 90.\n\nThus, the final answer is d = \\boxed{90}.",
"index": 6862,
"question": "Consider a system of variables where each variable is defined as follows: k = a + 4; p = w + 20; a = u + 13; d = z + 20; w = 2; f = p + 12; v = r + 9; z = e + 9; r = k + 2; e = h + 8; h = f + 19; u = w + 16; l = v + 20. If w = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"n": "m + 9", "p": "n + 5", "q": "p + 5", "h": "q + 4", "d": "h + 14", "z": "d + 5", "y": "m + 7", "f": "y + 4", "e": "f + 10", "g": "e + 13", "k": "g + 13", "v": "k + 6", "m": 11}, "premises": {"m": 11}, "target": "z"}, "answer": {"steps": [["d", "h + 14", "h + 19"], ["h", "q + 4", "q + 23"], ["q", "p + 5", "p + 28"], ["p", "n + 5", "n + 33"], ["n", "m + 9", "m + 42"], ["m", 11, "53"]], "target_var_name": "z", "target_value": 53, "value_dict": {"m": 11}, "is_reverse": true}} | 6,863 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 10; q = p + 5; v = k + 6; m = 11; y = m + 7; d = h + 14; k = g + 13; h = q + 4; n = m + 9; p = n + 5; f = y + 4; z = d + 5; g = e + 13. If m = 11, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 14 to z, which gives z = h + 19.\n2. Substitute h = q + 4 to z, which gives z = q + 23.\n3. Substitute q = p + 5 to z, which gives z = p + 28.\n4. Substitute p = n + 5 to z, which gives z = n + 33.\n5. Substitute n = m + 9 to z, which gives z = m + 42.\n6. Substitute m = 11 to z, which gives z = 53.\n\nThus, the final answer is z = \\boxed{53}.",
"index": 6863,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = f + 10; q = p + 5; v = k + 6; m = 11; y = m + 7; d = h + 14; k = g + 13; h = q + 4; n = m + 9; p = n + 5; f = y + 4; z = d + 5; g = e + 13. If m = 11, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"p": "j + 11", "w": "p + 11", "v": "w + 9", "u": "v + 1", "z": "u + 6", "b": "z + 12", "n": "j + 16", "g": "n + 15", "y": "g + 20", "d": "y + 3", "c": "d + 17", "f": "c + 3", "j": 11}, "premises": {"j": 11}, "target": "b"}, "answer": {"steps": [["z", "u + 6", "u + 18"], ["u", "v + 1", "v + 19"], ["v", "w + 9", "w + 28"], ["w", "p + 11", "p + 39"], ["p", "j + 11", "j + 50"], ["j", 11, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"j": 11}, "is_reverse": true}} | 6,864 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 3; z = u + 6; v = w + 9; y = g + 20; n = j + 16; g = n + 15; u = v + 1; p = j + 11; w = p + 11; c = d + 17; j = 11; f = c + 3; b = z + 12. Given that j = 11, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = u + 6 to b, which gives b = u + 18.\n2. Substitute u = v + 1 to b, which gives b = v + 19.\n3. Substitute v = w + 9 to b, which gives b = w + 28.\n4. Substitute w = p + 11 to b, which gives b = p + 39.\n5. Substitute p = j + 11 to b, which gives b = j + 50.\n6. Substitute j = 11 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 6864,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 3; z = u + 6; v = w + 9; y = g + 20; n = j + 16; g = n + 15; u = v + 1; p = j + 11; w = p + 11; c = d + 17; j = 11; f = c + 3; b = z + 12. Given that j = 11, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"t": "c + 6", "l": "t + 20", "o": "l + 10", "z": "o + 14", "q": "z + 10", "u": "q + 18", "r": "c + 9", "b": "r + 10", "a": "b + 7", "g": "a + 1", "s": "g + 2", "d": "s + 15", "c": 17}, "premises": {"c": 17}, "target": "u"}, "answer": {"steps": [["q", "z + 10", "z + 28"], ["z", "o + 14", "o + 42"], ["o", "l + 10", "l + 52"], ["l", "t + 20", "t + 72"], ["t", "c + 6", "c + 78"], ["c", 17, "95"]], "target_var_name": "u", "target_value": 95, "value_dict": {"c": 17}, "is_reverse": true}} | 6,865 | 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 = c + 6; a = b + 7; l = t + 20; d = s + 15; o = l + 10; z = o + 14; g = a + 1; c = 17; q = z + 10; u = q + 18; s = g + 2; b = r + 10; r = c + 9. If c = 17, what is the resulting 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 q = z + 10 to u, which gives u = z + 28.\n2. Substitute z = o + 14 to u, which gives u = o + 42.\n3. Substitute o = l + 10 to u, which gives u = l + 52.\n4. Substitute l = t + 20 to u, which gives u = t + 72.\n5. Substitute t = c + 6 to u, which gives u = c + 78.\n6. Substitute c = 17 to u, which gives u = 95.\n\nThus, the final answer is u = \\boxed{95}.",
"index": 6865,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = c + 6; a = b + 7; l = t + 20; d = s + 15; o = l + 10; z = o + 14; g = a + 1; c = 17; q = z + 10; u = q + 18; s = g + 2; b = r + 10; r = c + 9. If c = 17, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"q": "b + 1", "t": "q + 15", "s": "t + 16", "u": "s + 2", "k": "u + 19", "v": "k + 9", "c": "b + 12", "w": "c + 8", "n": "w + 20", "g": "n + 9", "f": "g + 9", "l": "f + 8", "b": 17}, "premises": {"b": 17}, "target": "v"}, "answer": {"steps": [["k", "u + 19", "u + 28"], ["u", "s + 2", "s + 30"], ["s", "t + 16", "t + 46"], ["t", "q + 15", "q + 61"], ["q", "b + 1", "b + 62"], ["b", 17, "79"]], "target_var_name": "v", "target_value": 79, "value_dict": {"b": 17}, "is_reverse": true}} | 6,866 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: v = k + 9; q = b + 1; w = c + 8; n = w + 20; f = g + 9; s = t + 16; g = n + 9; b = 17; u = s + 2; l = f + 8; t = q + 15; k = u + 19; c = b + 12. Given that b = 17, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = u + 19 to v, which gives v = u + 28.\n2. Substitute u = s + 2 to v, which gives v = s + 30.\n3. Substitute s = t + 16 to v, which gives v = t + 46.\n4. Substitute t = q + 15 to v, which gives v = q + 61.\n5. Substitute q = b + 1 to v, which gives v = b + 62.\n6. Substitute b = 17 to v, which gives v = 79.\n\nThus, the final answer is v = \\boxed{79}.",
"index": 6866,
"question": "Suppose a collection of variables is related by the following definitions: v = k + 9; q = b + 1; w = c + 8; n = w + 20; f = g + 9; s = t + 16; g = n + 9; b = 17; u = s + 2; l = f + 8; t = q + 15; k = u + 19; c = b + 12. Given that b = 17, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"h": "y + 4", "c": "h + 10", "m": "c + 2", "i": "m + 4", "l": "i + 10", "a": "l + 3", "q": "y + 3", "g": "q + 16", "x": "g + 13", "v": "x + 3", "p": "v + 12", "u": "p + 12", "y": 18}, "premises": {"y": 18}, "target": "a"}, "answer": {"steps": [["l", "i + 10", "i + 13"], ["i", "m + 4", "m + 17"], ["m", "c + 2", "c + 19"], ["c", "h + 10", "h + 29"], ["h", "y + 4", "y + 33"], ["y", 18, "51"]], "target_var_name": "a", "target_value": 51, "value_dict": {"y": 18}, "is_reverse": true}} | 6,867 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 4; l = i + 10; q = y + 3; a = l + 3; u = p + 12; h = y + 4; c = h + 10; v = x + 3; g = q + 16; x = g + 13; p = v + 12; y = 18; m = c + 2. If y = 18, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = i + 10 to a, which gives a = i + 13.\n2. Substitute i = m + 4 to a, which gives a = m + 17.\n3. Substitute m = c + 2 to a, which gives a = c + 19.\n4. Substitute c = h + 10 to a, which gives a = h + 29.\n5. Substitute h = y + 4 to a, which gives a = y + 33.\n6. Substitute y = 18 to a, which gives a = 51.\n\nThus, the final answer is a = \\boxed{51}.",
"index": 6867,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = m + 4; l = i + 10; q = y + 3; a = l + 3; u = p + 12; h = y + 4; c = h + 10; v = x + 3; g = q + 16; x = g + 13; p = v + 12; y = 18; m = c + 2. If y = 18, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 7", "x": "c + 1", "f": "x + 8", "m": "f + 3", "l": "m + 9", "t": "l + 15", "p": "v + 8", "e": "p + 14", "n": "e + 11", "y": "n + 16", "d": "y + 15", "g": "d + 18", "v": 12}, "premises": {"v": 12}, "target": "t"}, "answer": {"steps": [["l", "m + 9", "m + 24"], ["m", "f + 3", "f + 27"], ["f", "x + 8", "x + 35"], ["x", "c + 1", "c + 36"], ["c", "v + 7", "v + 43"], ["v", 12, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"v": 12}, "is_reverse": true}} | 6,868 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = x + 8; e = p + 14; y = n + 16; m = f + 3; p = v + 8; n = e + 11; l = m + 9; d = y + 15; v = 12; g = d + 18; c = v + 7; t = l + 15; x = c + 1. Given that v = 12, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = m + 9 to t, which gives t = m + 24.\n2. Substitute m = f + 3 to t, which gives t = f + 27.\n3. Substitute f = x + 8 to t, which gives t = x + 35.\n4. Substitute x = c + 1 to t, which gives t = c + 36.\n5. Substitute c = v + 7 to t, which gives t = v + 43.\n6. Substitute v = 12 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 6868,
"question": "Suppose a collection of variables is related by the following definitions: f = x + 8; e = p + 14; y = n + 16; m = f + 3; p = v + 8; n = e + 11; l = m + 9; d = y + 15; v = 12; g = d + 18; c = v + 7; t = l + 15; x = c + 1. Given that v = 12, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"z": "s + 10", "m": "z + 16", "j": "m + 6", "a": "j + 4", "d": "a + 15", "p": "d + 4", "g": "s + 13", "o": "g + 8", "i": "o + 10", "b": "i + 9", "y": "b + 4", "f": "y + 20", "s": 10}, "premises": {"s": 10}, "target": "p"}, "answer": {"steps": [["d", "a + 15", "a + 19"], ["a", "j + 4", "j + 23"], ["j", "m + 6", "m + 29"], ["m", "z + 16", "z + 45"], ["z", "s + 10", "s + 55"], ["s", 10, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"s": 10}, "is_reverse": true}} | 6,869 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = o + 10; a = j + 4; b = i + 9; d = a + 15; o = g + 8; y = b + 4; j = m + 6; g = s + 13; f = y + 20; m = z + 16; p = d + 4; z = s + 10; s = 10. Given that s = 10, find the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = a + 15 to p, which gives p = a + 19.\n2. Substitute a = j + 4 to p, which gives p = j + 23.\n3. Substitute j = m + 6 to p, which gives p = m + 29.\n4. Substitute m = z + 16 to p, which gives p = z + 45.\n5. Substitute z = s + 10 to p, which gives p = s + 55.\n6. Substitute s = 10 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 6869,
"question": "Suppose a collection of variables is related by the following definitions: i = o + 10; a = j + 4; b = i + 9; d = a + 15; o = g + 8; y = b + 4; j = m + 6; g = s + 13; f = y + 20; m = z + 16; p = d + 4; z = s + 10; s = 10. Given that s = 10, find the value of p.",
"split": "train"
} |
{"problem": {"rules": {"x": "u + 14", "c": "x + 7", "h": "c + 11", "g": "h + 7", "y": "g + 11", "q": "y + 5", "o": "u + 5", "e": "o + 7", "n": "e + 7", "s": "n + 5", "l": "s + 7", "k": "l + 1", "u": 5}, "premises": {"u": 5}, "target": "q"}, "answer": {"steps": [["y", "g + 11", "g + 16"], ["g", "h + 7", "h + 23"], ["h", "c + 11", "c + 34"], ["c", "x + 7", "x + 41"], ["x", "u + 14", "u + 55"], ["u", 5, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"u": 5}, "is_reverse": true}} | 6,870 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: k = l + 1; o = u + 5; s = n + 5; x = u + 14; c = x + 7; q = y + 5; u = 5; g = h + 7; e = o + 7; n = e + 7; l = s + 7; y = g + 11; h = c + 11. If u = 5, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 11 to q, which gives q = g + 16.\n2. Substitute g = h + 7 to q, which gives q = h + 23.\n3. Substitute h = c + 11 to q, which gives q = c + 34.\n4. Substitute c = x + 7 to q, which gives q = x + 41.\n5. Substitute x = u + 14 to q, which gives q = u + 55.\n6. Substitute u = 5 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 6870,
"question": "Consider a system of variables where each variable is defined as follows: k = l + 1; o = u + 5; s = n + 5; x = u + 14; c = x + 7; q = y + 5; u = 5; g = h + 7; e = o + 7; n = e + 7; l = s + 7; y = g + 11; h = c + 11. If u = 5, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"q": "c + 10", "m": "q + 11", "v": "m + 18", "o": "v + 5", "h": "o + 20", "d": "h + 12", "x": "c + 10", "w": "x + 5", "a": "w + 1", "u": "a + 18", "l": "u + 14", "r": "l + 3", "c": 3}, "premises": {"c": 3}, "target": "d"}, "answer": {"steps": [["h", "o + 20", "o + 32"], ["o", "v + 5", "v + 37"], ["v", "m + 18", "m + 55"], ["m", "q + 11", "q + 66"], ["q", "c + 10", "c + 76"], ["c", 3, "79"]], "target_var_name": "d", "target_value": 79, "value_dict": {"c": 3}, "is_reverse": true}} | 6,871 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 3; l = u + 14; d = h + 12; m = q + 11; h = o + 20; q = c + 10; x = c + 10; v = m + 18; w = x + 5; c = 3; o = v + 5; a = w + 1; u = a + 18. If c = 3, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = o + 20 to d, which gives d = o + 32.\n2. Substitute o = v + 5 to d, which gives d = v + 37.\n3. Substitute v = m + 18 to d, which gives d = m + 55.\n4. Substitute m = q + 11 to d, which gives d = q + 66.\n5. Substitute q = c + 10 to d, which gives d = c + 76.\n6. Substitute c = 3 to d, which gives d = 79.\n\nThus, the final answer is d = \\boxed{79}.",
"index": 6871,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = l + 3; l = u + 14; d = h + 12; m = q + 11; h = o + 20; q = c + 10; x = c + 10; v = m + 18; w = x + 5; c = 3; o = v + 5; a = w + 1; u = a + 18. If c = 3, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"k": "b + 8", "p": "k + 7", "r": "p + 9", "n": "r + 2", "v": "n + 8", "c": "v + 10", "w": "b + 11", "g": "w + 19", "f": "g + 8", "m": "f + 12", "i": "m + 18", "z": "i + 20", "b": 2}, "premises": {"b": 2}, "target": "c"}, "answer": {"steps": [["v", "n + 8", "n + 18"], ["n", "r + 2", "r + 20"], ["r", "p + 9", "p + 29"], ["p", "k + 7", "k + 36"], ["k", "b + 8", "b + 44"], ["b", 2, "46"]], "target_var_name": "c", "target_value": 46, "value_dict": {"b": 2}, "is_reverse": true}} | 6,872 | 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 = r + 2; v = n + 8; k = b + 8; g = w + 19; m = f + 12; w = b + 11; f = g + 8; r = p + 9; b = 2; p = k + 7; z = i + 20; i = m + 18; c = v + 10. If b = 2, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 8 to c, which gives c = n + 18.\n2. Substitute n = r + 2 to c, which gives c = r + 20.\n3. Substitute r = p + 9 to c, which gives c = p + 29.\n4. Substitute p = k + 7 to c, which gives c = k + 36.\n5. Substitute k = b + 8 to c, which gives c = b + 44.\n6. Substitute b = 2 to c, which gives c = 46.\n\nThus, the final answer is c = \\boxed{46}.",
"index": 6872,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 2; v = n + 8; k = b + 8; g = w + 19; m = f + 12; w = b + 11; f = g + 8; r = p + 9; b = 2; p = k + 7; z = i + 20; i = m + 18; c = v + 10. If b = 2, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"n": "p + 2", "l": "n + 14", "b": "l + 18", "c": "b + 4", "d": "c + 16", "z": "d + 18", "f": "p + 20", "u": "f + 9", "m": "u + 6", "t": "m + 10", "o": "t + 16", "i": "o + 14", "p": 15}, "premises": {"p": 15}, "target": "z"}, "answer": {"steps": [["d", "c + 16", "c + 34"], ["c", "b + 4", "b + 38"], ["b", "l + 18", "l + 56"], ["l", "n + 14", "n + 70"], ["n", "p + 2", "p + 72"], ["p", 15, "87"]], "target_var_name": "z", "target_value": 87, "value_dict": {"p": 15}, "is_reverse": true}} | 6,873 | 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 = l + 18; p = 15; d = c + 16; c = b + 4; n = p + 2; u = f + 9; i = o + 14; f = p + 20; l = n + 14; t = m + 10; o = t + 16; z = d + 18; m = u + 6. If p = 15, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = c + 16 to z, which gives z = c + 34.\n2. Substitute c = b + 4 to z, which gives z = b + 38.\n3. Substitute b = l + 18 to z, which gives z = l + 56.\n4. Substitute l = n + 14 to z, which gives z = n + 70.\n5. Substitute n = p + 2 to z, which gives z = p + 72.\n6. Substitute p = 15 to z, which gives z = 87.\n\nThus, the final answer is z = \\boxed{87}.",
"index": 6873,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = l + 18; p = 15; d = c + 16; c = b + 4; n = p + 2; u = f + 9; i = o + 14; f = p + 20; l = n + 14; t = m + 10; o = t + 16; z = d + 18; m = u + 6. If p = 15, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"g": "p + 5", "u": "g + 7", "e": "u + 13", "k": "e + 1", "v": "k + 14", "c": "v + 18", "w": "p + 5", "y": "w + 9", "n": "y + 2", "d": "n + 7", "t": "d + 13", "s": "t + 14", "p": 3}, "premises": {"p": 3}, "target": "c"}, "answer": {"steps": [["v", "k + 14", "k + 32"], ["k", "e + 1", "e + 33"], ["e", "u + 13", "u + 46"], ["u", "g + 7", "g + 53"], ["g", "p + 5", "p + 58"], ["p", 3, "61"]], "target_var_name": "c", "target_value": 61, "value_dict": {"p": 3}, "is_reverse": true}} | 6,874 | 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 = 3; c = v + 18; w = p + 5; s = t + 14; e = u + 13; v = k + 14; d = n + 7; n = y + 2; y = w + 9; g = p + 5; u = g + 7; t = d + 13; k = e + 1. If p = 3, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = k + 14 to c, which gives c = k + 32.\n2. Substitute k = e + 1 to c, which gives c = e + 33.\n3. Substitute e = u + 13 to c, which gives c = u + 46.\n4. Substitute u = g + 7 to c, which gives c = g + 53.\n5. Substitute g = p + 5 to c, which gives c = p + 58.\n6. Substitute p = 3 to c, which gives c = 61.\n\nThus, the final answer is c = \\boxed{61}.",
"index": 6874,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = 3; c = v + 18; w = p + 5; s = t + 14; e = u + 13; v = k + 14; d = n + 7; n = y + 2; y = w + 9; g = p + 5; u = g + 7; t = d + 13; k = e + 1. If p = 3, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"z": "m + 16", "o": "z + 10", "c": "o + 7", "i": "c + 2", "x": "i + 11", "h": "x + 20", "p": "m + 8", "q": "p + 15", "e": "q + 2", "w": "e + 8", "l": "w + 5", "r": "l + 18", "m": 2}, "premises": {"m": 2}, "target": "h"}, "answer": {"steps": [["x", "i + 11", "i + 31"], ["i", "c + 2", "c + 33"], ["c", "o + 7", "o + 40"], ["o", "z + 10", "z + 50"], ["z", "m + 16", "m + 66"], ["m", 2, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"m": 2}, "is_reverse": true}} | 6,875 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = 2; z = m + 16; h = x + 20; p = m + 8; o = z + 10; x = i + 11; i = c + 2; w = e + 8; c = o + 7; l = w + 5; q = p + 15; e = q + 2; r = l + 18. If m = 2, what is the resulting value of h?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = i + 11 to h, which gives h = i + 31.\n2. Substitute i = c + 2 to h, which gives h = c + 33.\n3. Substitute c = o + 7 to h, which gives h = o + 40.\n4. Substitute o = z + 10 to h, which gives h = z + 50.\n5. Substitute z = m + 16 to h, which gives h = m + 66.\n6. Substitute m = 2 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 6875,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = 2; z = m + 16; h = x + 20; p = m + 8; o = z + 10; x = i + 11; i = c + 2; w = e + 8; c = o + 7; l = w + 5; q = p + 15; e = q + 2; r = l + 18. If m = 2, what is the resulting value of h?",
"split": "train"
} |
{"problem": {"rules": {"x": "w + 8", "q": "x + 11", "b": "q + 13", "f": "b + 18", "o": "f + 15", "h": "o + 20", "m": "w + 2", "e": "m + 2", "j": "e + 16", "t": "j + 15", "k": "t + 2", "u": "k + 20", "w": 5}, "premises": {"w": 5}, "target": "h"}, "answer": {"steps": [["o", "f + 15", "f + 35"], ["f", "b + 18", "b + 53"], ["b", "q + 13", "q + 66"], ["q", "x + 11", "x + 77"], ["x", "w + 8", "w + 85"], ["w", 5, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"w": 5}, "is_reverse": true}} | 6,876 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 2; x = w + 8; b = q + 13; t = j + 15; e = m + 2; u = k + 20; f = b + 18; m = w + 2; w = 5; q = x + 11; h = o + 20; o = f + 15; j = e + 16. Given that w = 5, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = f + 15 to h, which gives h = f + 35.\n2. Substitute f = b + 18 to h, which gives h = b + 53.\n3. Substitute b = q + 13 to h, which gives h = q + 66.\n4. Substitute q = x + 11 to h, which gives h = x + 77.\n5. Substitute x = w + 8 to h, which gives h = w + 85.\n6. Substitute w = 5 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 6876,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 2; x = w + 8; b = q + 13; t = j + 15; e = m + 2; u = k + 20; f = b + 18; m = w + 2; w = 5; q = x + 11; h = o + 20; o = f + 15; j = e + 16. Given that w = 5, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"g": "i + 13", "y": "g + 5", "z": "y + 11", "k": "z + 9", "t": "k + 13", "b": "t + 20", "m": "i + 7", "u": "m + 18", "w": "u + 11", "o": "w + 11", "s": "o + 2", "v": "s + 6", "i": 13}, "premises": {"i": 13}, "target": "b"}, "answer": {"steps": [["t", "k + 13", "k + 33"], ["k", "z + 9", "z + 42"], ["z", "y + 11", "y + 53"], ["y", "g + 5", "g + 58"], ["g", "i + 13", "i + 71"], ["i", 13, "84"]], "target_var_name": "b", "target_value": 84, "value_dict": {"i": 13}, "is_reverse": true}} | 6,877 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 6; z = y + 11; s = o + 2; g = i + 13; b = t + 20; w = u + 11; k = z + 9; o = w + 11; m = i + 7; u = m + 18; i = 13; y = g + 5; t = k + 13. If i = 13, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = k + 13 to b, which gives b = k + 33.\n2. Substitute k = z + 9 to b, which gives b = z + 42.\n3. Substitute z = y + 11 to b, which gives b = y + 53.\n4. Substitute y = g + 5 to b, which gives b = g + 58.\n5. Substitute g = i + 13 to b, which gives b = i + 71.\n6. Substitute i = 13 to b, which gives b = 84.\n\nThus, the final answer is b = \\boxed{84}.",
"index": 6877,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: v = s + 6; z = y + 11; s = o + 2; g = i + 13; b = t + 20; w = u + 11; k = z + 9; o = w + 11; m = i + 7; u = m + 18; i = 13; y = g + 5; t = k + 13. If i = 13, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"x": "k + 16", "z": "x + 8", "b": "z + 11", "d": "b + 12", "s": "d + 13", "g": "s + 19", "e": "k + 4", "j": "e + 10", "o": "j + 20", "w": "o + 10", "h": "w + 4", "f": "h + 6", "k": 7}, "premises": {"k": 7}, "target": "g"}, "answer": {"steps": [["s", "d + 13", "d + 32"], ["d", "b + 12", "b + 44"], ["b", "z + 11", "z + 55"], ["z", "x + 8", "x + 63"], ["x", "k + 16", "k + 79"], ["k", 7, "86"]], "target_var_name": "g", "target_value": 86, "value_dict": {"k": 7}, "is_reverse": true}} | 6,878 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 10; f = h + 6; g = s + 19; o = j + 20; k = 7; h = w + 4; b = z + 11; w = o + 10; d = b + 12; e = k + 4; s = d + 13; x = k + 16; z = x + 8. Given that k = 7, find 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 s = d + 13 to g, which gives g = d + 32.\n2. Substitute d = b + 12 to g, which gives g = b + 44.\n3. Substitute b = z + 11 to g, which gives g = z + 55.\n4. Substitute z = x + 8 to g, which gives g = x + 63.\n5. Substitute x = k + 16 to g, which gives g = k + 79.\n6. Substitute k = 7 to g, which gives g = 86.\n\nThus, the final answer is g = \\boxed{86}.",
"index": 6878,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 10; f = h + 6; g = s + 19; o = j + 20; k = 7; h = w + 4; b = z + 11; w = o + 10; d = b + 12; e = k + 4; s = d + 13; x = k + 16; z = x + 8. Given that k = 7, find the value of g.",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 2", "e": "y + 12", "u": "e + 18", "b": "u + 19", "m": "b + 3", "h": "m + 1", "i": "d + 18", "g": "i + 2", "r": "g + 4", "k": "r + 3", "z": "k + 13", "s": "z + 2", "d": 13}, "premises": {"d": 13}, "target": "h"}, "answer": {"steps": [["m", "b + 3", "b + 4"], ["b", "u + 19", "u + 23"], ["u", "e + 18", "e + 41"], ["e", "y + 12", "y + 53"], ["y", "d + 2", "d + 55"], ["d", 13, "68"]], "target_var_name": "h", "target_value": 68, "value_dict": {"d": 13}, "is_reverse": true}} | 6,879 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = r + 3; d = 13; u = e + 18; z = k + 13; r = g + 4; y = d + 2; m = b + 3; i = d + 18; g = i + 2; s = z + 2; h = m + 1; e = y + 12; b = u + 19. Given that d = 13, find the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = b + 3 to h, which gives h = b + 4.\n2. Substitute b = u + 19 to h, which gives h = u + 23.\n3. Substitute u = e + 18 to h, which gives h = e + 41.\n4. Substitute e = y + 12 to h, which gives h = y + 53.\n5. Substitute y = d + 2 to h, which gives h = d + 55.\n6. Substitute d = 13 to h, which gives h = 68.\n\nThus, the final answer is h = \\boxed{68}.",
"index": 6879,
"question": "Suppose a collection of variables is related by the following definitions: k = r + 3; d = 13; u = e + 18; z = k + 13; r = g + 4; y = d + 2; m = b + 3; i = d + 18; g = i + 2; s = z + 2; h = m + 1; e = y + 12; b = u + 19. Given that d = 13, find the value of h.",
"split": "train"
} |
{"problem": {"rules": {"t": "n + 8", "c": "t + 8", "o": "c + 18", "u": "o + 7", "l": "u + 4", "w": "l + 6", "b": "n + 8", "r": "b + 12", "y": "r + 17", "p": "y + 14", "g": "p + 5", "m": "g + 7", "n": 2}, "premises": {"n": 2}, "target": "w"}, "answer": {"steps": [["l", "u + 4", "u + 10"], ["u", "o + 7", "o + 17"], ["o", "c + 18", "c + 35"], ["c", "t + 8", "t + 43"], ["t", "n + 8", "n + 51"], ["n", 2, "53"]], "target_var_name": "w", "target_value": 53, "value_dict": {"n": 2}, "is_reverse": true}} | 6,880 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 7; u = o + 7; o = c + 18; g = p + 5; y = r + 17; c = t + 8; r = b + 12; l = u + 4; n = 2; w = l + 6; b = n + 8; p = y + 14; t = n + 8. If n = 2, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 53,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = u + 4 to w, which gives w = u + 10.\n2. Substitute u = o + 7 to w, which gives w = o + 17.\n3. Substitute o = c + 18 to w, which gives w = c + 35.\n4. Substitute c = t + 8 to w, which gives w = t + 43.\n5. Substitute t = n + 8 to w, which gives w = n + 51.\n6. Substitute n = 2 to w, which gives w = 53.\n\nThus, the final answer is w = \\boxed{53}.",
"index": 6880,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 7; u = o + 7; o = c + 18; g = p + 5; y = r + 17; c = t + 8; r = b + 12; l = u + 4; n = 2; w = l + 6; b = n + 8; p = y + 14; t = n + 8. If n = 2, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"a": "e + 4", "b": "a + 16", "g": "b + 11", "i": "g + 9", "r": "i + 13", "w": "r + 5", "p": "e + 4", "h": "p + 2", "o": "h + 11", "y": "o + 9", "s": "y + 2", "j": "s + 16", "e": 8}, "premises": {"e": 8}, "target": "w"}, "answer": {"steps": [["r", "i + 13", "i + 18"], ["i", "g + 9", "g + 27"], ["g", "b + 11", "b + 38"], ["b", "a + 16", "a + 54"], ["a", "e + 4", "e + 58"], ["e", 8, "66"]], "target_var_name": "w", "target_value": 66, "value_dict": {"e": 8}, "is_reverse": true}} | 6,881 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 4; p = e + 4; s = y + 2; w = r + 5; o = h + 11; g = b + 11; b = a + 16; r = i + 13; e = 8; i = g + 9; y = o + 9; j = s + 16; h = p + 2. If e = 8, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = i + 13 to w, which gives w = i + 18.\n2. Substitute i = g + 9 to w, which gives w = g + 27.\n3. Substitute g = b + 11 to w, which gives w = b + 38.\n4. Substitute b = a + 16 to w, which gives w = a + 54.\n5. Substitute a = e + 4 to w, which gives w = e + 58.\n6. Substitute e = 8 to w, which gives w = 66.\n\nThus, the final answer is w = \\boxed{66}.",
"index": 6881,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = e + 4; p = e + 4; s = y + 2; w = r + 5; o = h + 11; g = b + 11; b = a + 16; r = i + 13; e = 8; i = g + 9; y = o + 9; j = s + 16; h = p + 2. If e = 8, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"e": "q + 20", "m": "e + 15", "t": "m + 17", "r": "t + 10", "c": "r + 8", "i": "c + 8", "h": "q + 11", "k": "h + 1", "l": "k + 19", "f": "l + 3", "a": "f + 6", "b": "a + 1", "q": 11}, "premises": {"q": 11}, "target": "i"}, "answer": {"steps": [["c", "r + 8", "r + 16"], ["r", "t + 10", "t + 26"], ["t", "m + 17", "m + 43"], ["m", "e + 15", "e + 58"], ["e", "q + 20", "q + 78"], ["q", 11, "89"]], "target_var_name": "i", "target_value": 89, "value_dict": {"q": 11}, "is_reverse": true}} | 6,882 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = m + 17; e = q + 20; i = c + 8; k = h + 1; a = f + 6; m = e + 15; l = k + 19; f = l + 3; c = r + 8; b = a + 1; r = t + 10; q = 11; h = q + 11. If q = 11, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = r + 8 to i, which gives i = r + 16.\n2. Substitute r = t + 10 to i, which gives i = t + 26.\n3. Substitute t = m + 17 to i, which gives i = m + 43.\n4. Substitute m = e + 15 to i, which gives i = e + 58.\n5. Substitute e = q + 20 to i, which gives i = q + 78.\n6. Substitute q = 11 to i, which gives i = 89.\n\nThus, the final answer is i = \\boxed{89}.",
"index": 6882,
"question": "Consider a system of variables where each variable is defined as follows: t = m + 17; e = q + 20; i = c + 8; k = h + 1; a = f + 6; m = e + 15; l = k + 19; f = l + 3; c = r + 8; b = a + 1; r = t + 10; q = 11; h = q + 11. If q = 11, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"c": "r + 20", "s": "c + 18", "a": "s + 13", "i": "a + 1", "g": "i + 9", "m": "g + 12", "v": "r + 1", "q": "v + 7", "j": "q + 6", "z": "j + 10", "t": "z + 17", "w": "t + 5", "r": 18}, "premises": {"r": 18}, "target": "m"}, "answer": {"steps": [["g", "i + 9", "i + 21"], ["i", "a + 1", "a + 22"], ["a", "s + 13", "s + 35"], ["s", "c + 18", "c + 53"], ["c", "r + 20", "r + 73"], ["r", 18, "91"]], "target_var_name": "m", "target_value": 91, "value_dict": {"r": 18}, "is_reverse": true}} | 6,883 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 12; s = c + 18; i = a + 1; c = r + 20; z = j + 10; v = r + 1; t = z + 17; a = s + 13; r = 18; j = q + 6; w = t + 5; q = v + 7; g = i + 9. If r = 18, what is the resulting value of m?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 9 to m, which gives m = i + 21.\n2. Substitute i = a + 1 to m, which gives m = a + 22.\n3. Substitute a = s + 13 to m, which gives m = s + 35.\n4. Substitute s = c + 18 to m, which gives m = c + 53.\n5. Substitute c = r + 20 to m, which gives m = r + 73.\n6. Substitute r = 18 to m, which gives m = 91.\n\nThus, the final answer is m = \\boxed{91}.",
"index": 6883,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = g + 12; s = c + 18; i = a + 1; c = r + 20; z = j + 10; v = r + 1; t = z + 17; a = s + 13; r = 18; j = q + 6; w = t + 5; q = v + 7; g = i + 9. If r = 18, what is the resulting value of m?",
"split": "train"
} |
{"problem": {"rules": {"g": "c + 13", "y": "g + 5", "s": "y + 12", "v": "s + 10", "k": "v + 15", "b": "k + 19", "f": "c + 16", "m": "f + 17", "a": "m + 6", "z": "a + 20", "x": "z + 6", "r": "x + 17", "c": 5}, "premises": {"c": 5}, "target": "b"}, "answer": {"steps": [["k", "v + 15", "v + 34"], ["v", "s + 10", "s + 44"], ["s", "y + 12", "y + 56"], ["y", "g + 5", "g + 61"], ["g", "c + 13", "c + 74"], ["c", 5, "79"]], "target_var_name": "b", "target_value": 79, "value_dict": {"c": 5}, "is_reverse": true}} | 6,884 | 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 + 6; r = x + 17; y = g + 5; z = a + 20; s = y + 12; k = v + 15; m = f + 17; f = c + 16; x = z + 6; v = s + 10; c = 5; b = k + 19; g = c + 13. If c = 5, determine 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 k = v + 15 to b, which gives b = v + 34.\n2. Substitute v = s + 10 to b, which gives b = s + 44.\n3. Substitute s = y + 12 to b, which gives b = y + 56.\n4. Substitute y = g + 5 to b, which gives b = g + 61.\n5. Substitute g = c + 13 to b, which gives b = c + 74.\n6. Substitute c = 5 to b, which gives b = 79.\n\nThus, the final answer is b = \\boxed{79}.",
"index": 6884,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 6; r = x + 17; y = g + 5; z = a + 20; s = y + 12; k = v + 15; m = f + 17; f = c + 16; x = z + 6; v = s + 10; c = 5; b = k + 19; g = c + 13. If c = 5, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"w": "e + 16", "h": "w + 13", "m": "h + 10", "p": "m + 13", "o": "p + 5", "b": "o + 17", "z": "e + 10", "u": "z + 17", "v": "u + 18", "k": "v + 8", "q": "k + 17", "i": "q + 16", "e": 2}, "premises": {"e": 2}, "target": "b"}, "answer": {"steps": [["o", "p + 5", "p + 22"], ["p", "m + 13", "m + 35"], ["m", "h + 10", "h + 45"], ["h", "w + 13", "w + 58"], ["w", "e + 16", "e + 74"], ["e", 2, "76"]], "target_var_name": "b", "target_value": 76, "value_dict": {"e": 2}, "is_reverse": true}} | 6,885 | 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 = v + 8; u = z + 17; o = p + 5; v = u + 18; w = e + 16; h = w + 13; p = m + 13; e = 2; b = o + 17; q = k + 17; m = h + 10; i = q + 16; z = e + 10. If e = 2, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = p + 5 to b, which gives b = p + 22.\n2. Substitute p = m + 13 to b, which gives b = m + 35.\n3. Substitute m = h + 10 to b, which gives b = h + 45.\n4. Substitute h = w + 13 to b, which gives b = w + 58.\n5. Substitute w = e + 16 to b, which gives b = e + 74.\n6. Substitute e = 2 to b, which gives b = 76.\n\nThus, the final answer is b = \\boxed{76}.",
"index": 6885,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = v + 8; u = z + 17; o = p + 5; v = u + 18; w = e + 16; h = w + 13; p = m + 13; e = 2; b = o + 17; q = k + 17; m = h + 10; i = q + 16; z = e + 10. If e = 2, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"l": "f + 7", "o": "l + 11", "j": "o + 14", "v": "j + 19", "r": "v + 3", "t": "r + 19", "s": "f + 3", "q": "s + 1", "m": "q + 10", "u": "m + 18", "g": "u + 10", "h": "g + 6", "f": 9}, "premises": {"f": 9}, "target": "t"}, "answer": {"steps": [["r", "v + 3", "v + 22"], ["v", "j + 19", "j + 41"], ["j", "o + 14", "o + 55"], ["o", "l + 11", "l + 66"], ["l", "f + 7", "f + 73"], ["f", 9, "82"]], "target_var_name": "t", "target_value": 82, "value_dict": {"f": 9}, "is_reverse": true}} | 6,886 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = l + 11; f = 9; t = r + 19; j = o + 14; v = j + 19; q = s + 1; m = q + 10; l = f + 7; s = f + 3; h = g + 6; u = m + 18; r = v + 3; g = u + 10. Given that f = 9, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 3 to t, which gives t = v + 22.\n2. Substitute v = j + 19 to t, which gives t = j + 41.\n3. Substitute j = o + 14 to t, which gives t = o + 55.\n4. Substitute o = l + 11 to t, which gives t = l + 66.\n5. Substitute l = f + 7 to t, which gives t = f + 73.\n6. Substitute f = 9 to t, which gives t = 82.\n\nThus, the final answer is t = \\boxed{82}.",
"index": 6886,
"question": "Suppose a collection of variables is related by the following definitions: o = l + 11; f = 9; t = r + 19; j = o + 14; v = j + 19; q = s + 1; m = q + 10; l = f + 7; s = f + 3; h = g + 6; u = m + 18; r = v + 3; g = u + 10. Given that f = 9, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"m": "e + 11", "d": "m + 17", "c": "d + 4", "h": "c + 14", "z": "h + 11", "q": "z + 16", "w": "e + 20", "l": "w + 8", "s": "l + 11", "t": "s + 5", "f": "t + 18", "n": "f + 19", "e": 18}, "premises": {"e": 18}, "target": "q"}, "answer": {"steps": [["z", "h + 11", "h + 27"], ["h", "c + 14", "c + 41"], ["c", "d + 4", "d + 45"], ["d", "m + 17", "m + 62"], ["m", "e + 11", "e + 73"], ["e", 18, "91"]], "target_var_name": "q", "target_value": 91, "value_dict": {"e": 18}, "is_reverse": true}} | 6,887 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 14; e = 18; l = w + 8; d = m + 17; f = t + 18; z = h + 11; s = l + 11; w = e + 20; q = z + 16; c = d + 4; m = e + 11; t = s + 5; n = f + 19. If e = 18, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = h + 11 to q, which gives q = h + 27.\n2. Substitute h = c + 14 to q, which gives q = c + 41.\n3. Substitute c = d + 4 to q, which gives q = d + 45.\n4. Substitute d = m + 17 to q, which gives q = m + 62.\n5. Substitute m = e + 11 to q, which gives q = e + 73.\n6. Substitute e = 18 to q, which gives q = 91.\n\nThus, the final answer is q = \\boxed{91}.",
"index": 6887,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: h = c + 14; e = 18; l = w + 8; d = m + 17; f = t + 18; z = h + 11; s = l + 11; w = e + 20; q = z + 16; c = d + 4; m = e + 11; t = s + 5; n = f + 19. If e = 18, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"u": "p + 7", "c": "u + 12", "y": "c + 7", "b": "y + 4", "m": "b + 4", "a": "m + 10", "t": "p + 14", "w": "t + 17", "n": "w + 7", "g": "n + 7", "q": "g + 8", "l": "q + 16", "p": 18}, "premises": {"p": 18}, "target": "a"}, "answer": {"steps": [["m", "b + 4", "b + 14"], ["b", "y + 4", "y + 18"], ["y", "c + 7", "c + 25"], ["c", "u + 12", "u + 37"], ["u", "p + 7", "p + 44"], ["p", 18, "62"]], "target_var_name": "a", "target_value": 62, "value_dict": {"p": 18}, "is_reverse": true}} | 6,888 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: m = b + 4; p = 18; t = p + 14; b = y + 4; y = c + 7; g = n + 7; c = u + 12; n = w + 7; l = q + 16; q = g + 8; u = p + 7; a = m + 10; w = t + 17. If p = 18, determine the 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 m = b + 4 to a, which gives a = b + 14.\n2. Substitute b = y + 4 to a, which gives a = y + 18.\n3. Substitute y = c + 7 to a, which gives a = c + 25.\n4. Substitute c = u + 12 to a, which gives a = u + 37.\n5. Substitute u = p + 7 to a, which gives a = p + 44.\n6. Substitute p = 18 to a, which gives a = 62.\n\nThus, the final answer is a = \\boxed{62}.",
"index": 6888,
"question": "Consider a system of variables where each variable is defined as follows: m = b + 4; p = 18; t = p + 14; b = y + 4; y = c + 7; g = n + 7; c = u + 12; n = w + 7; l = q + 16; q = g + 8; u = p + 7; a = m + 10; w = t + 17. If p = 18, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"m": "i + 19", "p": "m + 20", "z": "p + 17", "u": "z + 18", "b": "u + 5", "o": "b + 10", "s": "i + 15", "q": "s + 4", "w": "q + 8", "n": "w + 11", "g": "n + 7", "c": "g + 4", "i": 1}, "premises": {"i": 1}, "target": "o"}, "answer": {"steps": [["b", "u + 5", "u + 15"], ["u", "z + 18", "z + 33"], ["z", "p + 17", "p + 50"], ["p", "m + 20", "m + 70"], ["m", "i + 19", "i + 89"], ["i", 1, "90"]], "target_var_name": "o", "target_value": 90, "value_dict": {"i": 1}, "is_reverse": true}} | 6,889 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = b + 10; s = i + 15; n = w + 11; c = g + 4; i = 1; q = s + 4; z = p + 17; p = m + 20; m = i + 19; g = n + 7; u = z + 18; b = u + 5; w = q + 8. Given that i = 1, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = u + 5 to o, which gives o = u + 15.\n2. Substitute u = z + 18 to o, which gives o = z + 33.\n3. Substitute z = p + 17 to o, which gives o = p + 50.\n4. Substitute p = m + 20 to o, which gives o = m + 70.\n5. Substitute m = i + 19 to o, which gives o = i + 89.\n6. Substitute i = 1 to o, which gives o = 90.\n\nThus, the final answer is o = \\boxed{90}.",
"index": 6889,
"question": "Suppose a collection of variables is related by the following definitions: o = b + 10; s = i + 15; n = w + 11; c = g + 4; i = 1; q = s + 4; z = p + 17; p = m + 20; m = i + 19; g = n + 7; u = z + 18; b = u + 5; w = q + 8. Given that i = 1, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"z": "y + 6", "g": "z + 1", "j": "g + 5", "n": "j + 7", "l": "n + 4", "q": "l + 14", "v": "y + 14", "t": "v + 19", "c": "t + 9", "a": "c + 20", "u": "a + 12", "r": "u + 13", "y": 7}, "premises": {"y": 7}, "target": "q"}, "answer": {"steps": [["l", "n + 4", "n + 18"], ["n", "j + 7", "j + 25"], ["j", "g + 5", "g + 30"], ["g", "z + 1", "z + 31"], ["z", "y + 6", "y + 37"], ["y", 7, "44"]], "target_var_name": "q", "target_value": 44, "value_dict": {"y": 7}, "is_reverse": true}} | 6,890 | 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 + 19; l = n + 4; c = t + 9; r = u + 13; q = l + 14; a = c + 20; u = a + 12; v = y + 14; n = j + 7; g = z + 1; j = g + 5; z = y + 6; y = 7. If y = 7, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 44,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = n + 4 to q, which gives q = n + 18.\n2. Substitute n = j + 7 to q, which gives q = j + 25.\n3. Substitute j = g + 5 to q, which gives q = g + 30.\n4. Substitute g = z + 1 to q, which gives q = z + 31.\n5. Substitute z = y + 6 to q, which gives q = y + 37.\n6. Substitute y = 7 to q, which gives q = 44.\n\nThus, the final answer is q = \\boxed{44}.",
"index": 6890,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = v + 19; l = n + 4; c = t + 9; r = u + 13; q = l + 14; a = c + 20; u = a + 12; v = y + 14; n = j + 7; g = z + 1; j = g + 5; z = y + 6; y = 7. If y = 7, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"e": "a + 9", "n": "e + 4", "p": "n + 11", "w": "p + 16", "x": "w + 20", "t": "x + 15", "y": "a + 7", "h": "y + 19", "k": "h + 15", "r": "k + 13", "i": "r + 4", "u": "i + 7", "a": 16}, "premises": {"a": 16}, "target": "t"}, "answer": {"steps": [["x", "w + 20", "w + 35"], ["w", "p + 16", "p + 51"], ["p", "n + 11", "n + 62"], ["n", "e + 4", "e + 66"], ["e", "a + 9", "a + 75"], ["a", 16, "91"]], "target_var_name": "t", "target_value": 91, "value_dict": {"a": 16}, "is_reverse": true}} | 6,891 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 4; r = k + 13; p = n + 11; n = e + 4; x = w + 20; t = x + 15; a = 16; y = a + 7; h = y + 19; w = p + 16; e = a + 9; u = i + 7; k = h + 15. If a = 16, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = w + 20 to t, which gives t = w + 35.\n2. Substitute w = p + 16 to t, which gives t = p + 51.\n3. Substitute p = n + 11 to t, which gives t = n + 62.\n4. Substitute n = e + 4 to t, which gives t = e + 66.\n5. Substitute e = a + 9 to t, which gives t = a + 75.\n6. Substitute a = 16 to t, which gives t = 91.\n\nThus, the final answer is t = \\boxed{91}.",
"index": 6891,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = r + 4; r = k + 13; p = n + 11; n = e + 4; x = w + 20; t = x + 15; a = 16; y = a + 7; h = y + 19; w = p + 16; e = a + 9; u = i + 7; k = h + 15. If a = 16, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"j": "f + 4", "l": "j + 7", "y": "l + 18", "e": "y + 13", "z": "e + 14", "c": "z + 4", "u": "f + 9", "n": "u + 1", "x": "n + 12", "p": "x + 5", "m": "p + 17", "d": "m + 12", "f": 19}, "premises": {"f": 19}, "target": "c"}, "answer": {"steps": [["z", "e + 14", "e + 18"], ["e", "y + 13", "y + 31"], ["y", "l + 18", "l + 49"], ["l", "j + 7", "j + 56"], ["j", "f + 4", "f + 60"], ["f", 19, "79"]], "target_var_name": "c", "target_value": 79, "value_dict": {"f": 19}, "is_reverse": true}} | 6,892 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = m + 12; m = p + 17; x = n + 12; z = e + 14; j = f + 4; f = 19; u = f + 9; c = z + 4; l = j + 7; y = l + 18; e = y + 13; p = x + 5; n = u + 1. If f = 19, determine the value of c.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = e + 14 to c, which gives c = e + 18.\n2. Substitute e = y + 13 to c, which gives c = y + 31.\n3. Substitute y = l + 18 to c, which gives c = l + 49.\n4. Substitute l = j + 7 to c, which gives c = j + 56.\n5. Substitute j = f + 4 to c, which gives c = f + 60.\n6. Substitute f = 19 to c, which gives c = 79.\n\nThus, the final answer is c = \\boxed{79}.",
"index": 6892,
"question": "Consider a system of variables where each variable is defined as follows: d = m + 12; m = p + 17; x = n + 12; z = e + 14; j = f + 4; f = 19; u = f + 9; c = z + 4; l = j + 7; y = l + 18; e = y + 13; p = x + 5; n = u + 1. If f = 19, determine the value of c.",
"split": "train"
} |
{"problem": {"rules": {"q": "t + 13", "a": "q + 6", "l": "a + 13", "r": "l + 2", "g": "r + 4", "y": "g + 3", "w": "t + 20", "x": "w + 1", "u": "x + 16", "s": "u + 1", "z": "s + 20", "n": "z + 6", "t": 8}, "premises": {"t": 8}, "target": "y"}, "answer": {"steps": [["g", "r + 4", "r + 7"], ["r", "l + 2", "l + 9"], ["l", "a + 13", "a + 22"], ["a", "q + 6", "q + 28"], ["q", "t + 13", "t + 41"], ["t", 8, "49"]], "target_var_name": "y", "target_value": 49, "value_dict": {"t": 8}, "is_reverse": true}} | 6,893 | 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 = s + 20; s = u + 1; w = t + 20; x = w + 1; l = a + 13; t = 8; a = q + 6; y = g + 3; u = x + 16; q = t + 13; r = l + 2; g = r + 4; n = z + 6. If t = 8, what is the resulting value of y?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = r + 4 to y, which gives y = r + 7.\n2. Substitute r = l + 2 to y, which gives y = l + 9.\n3. Substitute l = a + 13 to y, which gives y = a + 22.\n4. Substitute a = q + 6 to y, which gives y = q + 28.\n5. Substitute q = t + 13 to y, which gives y = t + 41.\n6. Substitute t = 8 to y, which gives y = 49.\n\nThus, the final answer is y = \\boxed{49}.",
"index": 6893,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = s + 20; s = u + 1; w = t + 20; x = w + 1; l = a + 13; t = 8; a = q + 6; y = g + 3; u = x + 16; q = t + 13; r = l + 2; g = r + 4; n = z + 6. If t = 8, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"c": "n + 2", "b": "c + 18", "x": "b + 3", "j": "x + 10", "k": "j + 12", "a": "k + 20", "g": "n + 4", "l": "g + 20", "m": "l + 4", "u": "m + 15", "o": "u + 8", "h": "o + 10", "n": 8}, "premises": {"n": 8}, "target": "a"}, "answer": {"steps": [["k", "j + 12", "j + 32"], ["j", "x + 10", "x + 42"], ["x", "b + 3", "b + 45"], ["b", "c + 18", "c + 63"], ["c", "n + 2", "n + 65"], ["n", 8, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"n": 8}, "is_reverse": true}} | 6,894 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = n + 4; u = m + 15; k = j + 12; n = 8; x = b + 3; o = u + 8; m = l + 4; c = n + 2; j = x + 10; l = g + 20; h = o + 10; a = k + 20; b = c + 18. Given that n = 8, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = j + 12 to a, which gives a = j + 32.\n2. Substitute j = x + 10 to a, which gives a = x + 42.\n3. Substitute x = b + 3 to a, which gives a = b + 45.\n4. Substitute b = c + 18 to a, which gives a = c + 63.\n5. Substitute c = n + 2 to a, which gives a = n + 65.\n6. Substitute n = 8 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 6894,
"question": "Suppose a collection of variables is related by the following definitions: g = n + 4; u = m + 15; k = j + 12; n = 8; x = b + 3; o = u + 8; m = l + 4; c = n + 2; j = x + 10; l = g + 20; h = o + 10; a = k + 20; b = c + 18. Given that n = 8, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "g + 9", "n": "r + 17", "o": "n + 5", "h": "o + 4", "y": "h + 17", "v": "y + 19", "w": "g + 8", "x": "w + 14", "e": "x + 13", "l": "e + 15", "s": "l + 17", "f": "s + 5", "g": 3}, "premises": {"g": 3}, "target": "v"}, "answer": {"steps": [["y", "h + 17", "h + 36"], ["h", "o + 4", "o + 40"], ["o", "n + 5", "n + 45"], ["n", "r + 17", "r + 62"], ["r", "g + 9", "g + 71"], ["g", 3, "74"]], "target_var_name": "v", "target_value": 74, "value_dict": {"g": 3}, "is_reverse": true}} | 6,895 | 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 = r + 17; l = e + 15; w = g + 8; f = s + 5; v = y + 19; o = n + 5; g = 3; e = x + 13; h = o + 4; y = h + 17; r = g + 9; x = w + 14; s = l + 17. If g = 3, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = h + 17 to v, which gives v = h + 36.\n2. Substitute h = o + 4 to v, which gives v = o + 40.\n3. Substitute o = n + 5 to v, which gives v = n + 45.\n4. Substitute n = r + 17 to v, which gives v = r + 62.\n5. Substitute r = g + 9 to v, which gives v = g + 71.\n6. Substitute g = 3 to v, which gives v = 74.\n\nThus, the final answer is v = \\boxed{74}.",
"index": 6895,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = r + 17; l = e + 15; w = g + 8; f = s + 5; v = y + 19; o = n + 5; g = 3; e = x + 13; h = o + 4; y = h + 17; r = g + 9; x = w + 14; s = l + 17. If g = 3, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 1", "f": "h + 14", "j": "f + 17", "r": "j + 19", "u": "r + 8", "z": "u + 9", "s": "b + 8", "c": "s + 7", "w": "c + 6", "y": "w + 7", "x": "y + 11", "p": "x + 14", "b": 12}, "premises": {"b": 12}, "target": "z"}, "answer": {"steps": [["u", "r + 8", "r + 17"], ["r", "j + 19", "j + 36"], ["j", "f + 17", "f + 53"], ["f", "h + 14", "h + 67"], ["h", "b + 1", "b + 68"], ["b", 12, "80"]], "target_var_name": "z", "target_value": 80, "value_dict": {"b": 12}, "is_reverse": true}} | 6,896 | 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 = u + 9; s = b + 8; r = j + 19; f = h + 14; p = x + 14; b = 12; u = r + 8; h = b + 1; w = c + 6; j = f + 17; x = y + 11; y = w + 7; c = s + 7. If b = 12, what is the resulting value of z?",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = r + 8 to z, which gives z = r + 17.\n2. Substitute r = j + 19 to z, which gives z = j + 36.\n3. Substitute j = f + 17 to z, which gives z = f + 53.\n4. Substitute f = h + 14 to z, which gives z = h + 67.\n5. Substitute h = b + 1 to z, which gives z = b + 68.\n6. Substitute b = 12 to z, which gives z = 80.\n\nThus, the final answer is z = \\boxed{80}.",
"index": 6896,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 9; s = b + 8; r = j + 19; f = h + 14; p = x + 14; b = 12; u = r + 8; h = b + 1; w = c + 6; j = f + 17; x = y + 11; y = w + 7; c = s + 7. If b = 12, what is the resulting value of z?",
"split": "train"
} |
{"problem": {"rules": {"c": "a + 15", "x": "c + 18", "s": "x + 19", "q": "s + 11", "z": "q + 3", "i": "z + 3", "f": "a + 20", "y": "f + 3", "k": "y + 6", "m": "k + 12", "b": "m + 7", "o": "b + 11", "a": 5}, "premises": {"a": 5}, "target": "i"}, "answer": {"steps": [["z", "q + 3", "q + 6"], ["q", "s + 11", "s + 17"], ["s", "x + 19", "x + 36"], ["x", "c + 18", "c + 54"], ["c", "a + 15", "a + 69"], ["a", 5, "74"]], "target_var_name": "i", "target_value": 74, "value_dict": {"a": 5}, "is_reverse": true}} | 6,897 | 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 = s + 11; k = y + 6; c = a + 15; i = z + 3; y = f + 3; z = q + 3; s = x + 19; o = b + 11; x = c + 18; b = m + 7; f = a + 20; a = 5; m = k + 12. If a = 5, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = q + 3 to i, which gives i = q + 6.\n2. Substitute q = s + 11 to i, which gives i = s + 17.\n3. Substitute s = x + 19 to i, which gives i = x + 36.\n4. Substitute x = c + 18 to i, which gives i = c + 54.\n5. Substitute c = a + 15 to i, which gives i = a + 69.\n6. Substitute a = 5 to i, which gives i = 74.\n\nThus, the final answer is i = \\boxed{74}.",
"index": 6897,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = s + 11; k = y + 6; c = a + 15; i = z + 3; y = f + 3; z = q + 3; s = x + 19; o = b + 11; x = c + 18; b = m + 7; f = a + 20; a = 5; m = k + 12. If a = 5, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"b": "n + 10", "g": "b + 7", "w": "g + 10", "s": "w + 10", "a": "s + 19", "m": "a + 7", "u": "n + 17", "l": "u + 2", "q": "l + 18", "x": "q + 14", "d": "x + 8", "p": "d + 6", "n": 16}, "premises": {"n": 16}, "target": "m"}, "answer": {"steps": [["a", "s + 19", "s + 26"], ["s", "w + 10", "w + 36"], ["w", "g + 10", "g + 46"], ["g", "b + 7", "b + 53"], ["b", "n + 10", "n + 63"], ["n", 16, "79"]], "target_var_name": "m", "target_value": 79, "value_dict": {"n": 16}, "is_reverse": true}} | 6,898 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = w + 10; n = 16; d = x + 8; a = s + 19; x = q + 14; p = d + 6; w = g + 10; l = u + 2; q = l + 18; u = n + 17; m = a + 7; g = b + 7; b = n + 10. Given that n = 16, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = s + 19 to m, which gives m = s + 26.\n2. Substitute s = w + 10 to m, which gives m = w + 36.\n3. Substitute w = g + 10 to m, which gives m = g + 46.\n4. Substitute g = b + 7 to m, which gives m = b + 53.\n5. Substitute b = n + 10 to m, which gives m = n + 63.\n6. Substitute n = 16 to m, which gives m = 79.\n\nThus, the final answer is m = \\boxed{79}.",
"index": 6898,
"question": "Suppose a collection of variables is related by the following definitions: s = w + 10; n = 16; d = x + 8; a = s + 19; x = q + 14; p = d + 6; w = g + 10; l = u + 2; q = l + 18; u = n + 17; m = a + 7; g = b + 7; b = n + 10. Given that n = 16, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"w": "g + 18", "s": "w + 8", "j": "s + 16", "f": "j + 19", "y": "f + 3", "h": "y + 4", "c": "g + 7", "p": "c + 1", "e": "p + 11", "i": "e + 11", "n": "i + 10", "r": "n + 15", "g": 12}, "premises": {"g": 12}, "target": "h"}, "answer": {"steps": [["y", "f + 3", "f + 7"], ["f", "j + 19", "j + 26"], ["j", "s + 16", "s + 42"], ["s", "w + 8", "w + 50"], ["w", "g + 18", "g + 68"], ["g", 12, "80"]], "target_var_name": "h", "target_value": 80, "value_dict": {"g": 12}, "is_reverse": true}} | 6,899 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = y + 4; j = s + 16; n = i + 10; y = f + 3; g = 12; r = n + 15; c = g + 7; f = j + 19; s = w + 8; i = e + 11; w = g + 18; p = c + 1; e = p + 11. If g = 12, determine the value of h.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 3 to h, which gives h = f + 7.\n2. Substitute f = j + 19 to h, which gives h = j + 26.\n3. Substitute j = s + 16 to h, which gives h = s + 42.\n4. Substitute s = w + 8 to h, which gives h = w + 50.\n5. Substitute w = g + 18 to h, which gives h = g + 68.\n6. Substitute g = 12 to h, which gives h = 80.\n\nThus, the final answer is h = \\boxed{80}.",
"index": 6899,
"question": "Consider a system of variables where each variable is defined as follows: h = y + 4; j = s + 16; n = i + 10; y = f + 3; g = 12; r = n + 15; c = g + 7; f = j + 19; s = w + 8; i = e + 11; w = g + 18; p = c + 1; e = p + 11. If g = 12, determine the value of h.",
"split": "train"
} |
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