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": {"k": "r + 9", "l": "k + 17", "w": "l + 18", "z": "w + 20", "y": "z + 3", "f": "y + 12", "h": "r + 8", "b": "h + 3", "i": "b + 3", "c": "i + 9", "j": "c + 13", "o": "j + 2", "r": 19}, "premises": {"r": 19}, "target": "f"}, "answer": {"steps": [["y", "z + 3", "z + 15"], ["z", "w + 20", "w + 35"], ["w", "l + 18", "l + 53"], ["l", "k + 17", "k + 70"], ["k", "r + 9", "r + 79"], ["r", 19, "98"]], "target_var_name": "f", "target_value": 98, "value_dict": {"r": 19}, "is_reverse": true}} | 17,700 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: c = i + 9; y = z + 3; o = j + 2; b = h + 3; r = 19; f = y + 12; w = l + 18; z = w + 20; i = b + 3; j = c + 13; k = r + 9; l = k + 17; h = r + 8. If r = 19, determine the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 3 to f, which gives f = z + 15.\n2. Substitute z = w + 20 to f, which gives f = w + 35.\n3. Substitute w = l + 18 to f, which gives f = l + 53.\n4. Substitute l = k + 17 to f, which gives f = k + 70.\n5. Substitute k = r + 9 to f, which gives f = r + 79.\n6. Substitute r = 19 to f, which gives f = 98.\n\nThus, the final answer is f = \\boxed{98}.",
"index": 17700,
"question": "Consider a system of variables where each variable is defined as follows: c = i + 9; y = z + 3; o = j + 2; b = h + 3; r = 19; f = y + 12; w = l + 18; z = w + 20; i = b + 3; j = c + 13; k = r + 9; l = k + 17; h = r + 8. If r = 19, determine the value of f.",
"split": "train"
} |
{"problem": {"rules": {"v": "h + 20", "y": "v + 20", "d": "y + 11", "a": "d + 2", "j": "a + 14", "m": "j + 16", "x": "h + 10", "b": "x + 4", "f": "b + 20", "z": "f + 18", "s": "z + 7", "n": "s + 7", "h": 4}, "premises": {"h": 4}, "target": "m"}, "answer": {"steps": [["j", "a + 14", "a + 30"], ["a", "d + 2", "d + 32"], ["d", "y + 11", "y + 43"], ["y", "v + 20", "v + 63"], ["v", "h + 20", "h + 83"], ["h", 4, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"h": 4}, "is_reverse": true}} | 17,701 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = y + 11; n = s + 7; j = a + 14; m = j + 16; y = v + 20; s = z + 7; v = h + 20; h = 4; b = x + 4; z = f + 18; x = h + 10; f = b + 20; a = d + 2. Given that h = 4, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 14 to m, which gives m = a + 30.\n2. Substitute a = d + 2 to m, which gives m = d + 32.\n3. Substitute d = y + 11 to m, which gives m = y + 43.\n4. Substitute y = v + 20 to m, which gives m = v + 63.\n5. Substitute v = h + 20 to m, which gives m = h + 83.\n6. Substitute h = 4 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 17701,
"question": "Suppose a collection of variables is related by the following definitions: d = y + 11; n = s + 7; j = a + 14; m = j + 16; y = v + 20; s = z + 7; v = h + 20; h = 4; b = x + 4; z = f + 18; x = h + 10; f = b + 20; a = d + 2. Given that h = 4, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"c": "x + 4", "i": "c + 18", "j": "i + 10", "v": "j + 1", "a": "v + 9", "t": "a + 5", "o": "x + 7", "w": "o + 8", "k": "w + 2", "l": "k + 4", "q": "l + 16", "h": "q + 18", "x": 16}, "premises": {"x": 16}, "target": "t"}, "answer": {"steps": [["a", "v + 9", "v + 14"], ["v", "j + 1", "j + 15"], ["j", "i + 10", "i + 25"], ["i", "c + 18", "c + 43"], ["c", "x + 4", "x + 47"], ["x", 16, "63"]], "target_var_name": "t", "target_value": 63, "value_dict": {"x": 16}, "is_reverse": true}} | 17,702 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: t = a + 5; k = w + 2; h = q + 18; j = i + 10; a = v + 9; q = l + 16; w = o + 8; o = x + 7; x = 16; c = x + 4; i = c + 18; v = j + 1; l = k + 4. If x = 16, determine the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 9 to t, which gives t = v + 14.\n2. Substitute v = j + 1 to t, which gives t = j + 15.\n3. Substitute j = i + 10 to t, which gives t = i + 25.\n4. Substitute i = c + 18 to t, which gives t = c + 43.\n5. Substitute c = x + 4 to t, which gives t = x + 47.\n6. Substitute x = 16 to t, which gives t = 63.\n\nThus, the final answer is t = \\boxed{63}.",
"index": 17702,
"question": "Consider a system of variables where each variable is defined as follows: t = a + 5; k = w + 2; h = q + 18; j = i + 10; a = v + 9; q = l + 16; w = o + 8; o = x + 7; x = 16; c = x + 4; i = c + 18; v = j + 1; l = k + 4. If x = 16, determine the value of t.",
"split": "train"
} |
{"problem": {"rules": {"e": "r + 2", "o": "e + 1", "l": "o + 5", "b": "l + 14", "h": "b + 7", "p": "h + 15", "k": "r + 12", "g": "k + 3", "q": "g + 2", "a": "q + 6", "i": "a + 18", "z": "i + 1", "r": 4}, "premises": {"r": 4}, "target": "p"}, "answer": {"steps": [["h", "b + 7", "b + 22"], ["b", "l + 14", "l + 36"], ["l", "o + 5", "o + 41"], ["o", "e + 1", "e + 42"], ["e", "r + 2", "r + 44"], ["r", 4, "48"]], "target_var_name": "p", "target_value": 48, "value_dict": {"r": 4}, "is_reverse": true}} | 17,703 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: e = r + 2; p = h + 15; b = l + 14; g = k + 3; r = 4; o = e + 1; z = i + 1; q = g + 2; i = a + 18; a = q + 6; k = r + 12; l = o + 5; h = b + 7. If r = 4, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = b + 7 to p, which gives p = b + 22.\n2. Substitute b = l + 14 to p, which gives p = l + 36.\n3. Substitute l = o + 5 to p, which gives p = o + 41.\n4. Substitute o = e + 1 to p, which gives p = e + 42.\n5. Substitute e = r + 2 to p, which gives p = r + 44.\n6. Substitute r = 4 to p, which gives p = 48.\n\nThus, the final answer is p = \\boxed{48}.",
"index": 17703,
"question": "Consider a system of variables where each variable is defined as follows: e = r + 2; p = h + 15; b = l + 14; g = k + 3; r = 4; o = e + 1; z = i + 1; q = g + 2; i = a + 18; a = q + 6; k = r + 12; l = o + 5; h = b + 7. If r = 4, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"o": "i + 9", "a": "o + 15", "n": "a + 20", "s": "n + 20", "l": "s + 7", "m": "l + 12", "c": "i + 15", "v": "c + 11", "x": "v + 14", "z": "x + 2", "b": "z + 9", "f": "b + 16", "i": 6}, "premises": {"i": 6}, "target": "m"}, "answer": {"steps": [["l", "s + 7", "s + 19"], ["s", "n + 20", "n + 39"], ["n", "a + 20", "a + 59"], ["a", "o + 15", "o + 74"], ["o", "i + 9", "i + 83"], ["i", 6, "89"]], "target_var_name": "m", "target_value": 89, "value_dict": {"i": 6}, "is_reverse": true}} | 17,704 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: b = z + 9; l = s + 7; a = o + 15; o = i + 9; s = n + 20; x = v + 14; n = a + 20; v = c + 11; i = 6; m = l + 12; c = i + 15; f = b + 16; z = x + 2. Given that i = 6, find the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 89,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 7 to m, which gives m = s + 19.\n2. Substitute s = n + 20 to m, which gives m = n + 39.\n3. Substitute n = a + 20 to m, which gives m = a + 59.\n4. Substitute a = o + 15 to m, which gives m = o + 74.\n5. Substitute o = i + 9 to m, which gives m = i + 83.\n6. Substitute i = 6 to m, which gives m = 89.\n\nThus, the final answer is m = \\boxed{89}.",
"index": 17704,
"question": "Suppose a collection of variables is related by the following definitions: b = z + 9; l = s + 7; a = o + 15; o = i + 9; s = n + 20; x = v + 14; n = a + 20; v = c + 11; i = 6; m = l + 12; c = i + 15; f = b + 16; z = x + 2. Given that i = 6, find the value of m.",
"split": "train"
} |
{"problem": {"rules": {"s": "v + 18", "n": "s + 11", "j": "n + 1", "o": "j + 7", "c": "o + 6", "z": "c + 8", "q": "v + 8", "k": "q + 20", "p": "k + 4", "e": "p + 17", "x": "e + 9", "y": "x + 12", "v": 4}, "premises": {"v": 4}, "target": "z"}, "answer": {"steps": [["c", "o + 6", "o + 14"], ["o", "j + 7", "j + 21"], ["j", "n + 1", "n + 22"], ["n", "s + 11", "s + 33"], ["s", "v + 18", "v + 51"], ["v", 4, "55"]], "target_var_name": "z", "target_value": 55, "value_dict": {"v": 4}, "is_reverse": true}} | 17,705 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: e = p + 17; y = x + 12; c = o + 6; p = k + 4; z = c + 8; o = j + 7; v = 4; s = v + 18; n = s + 11; j = n + 1; q = v + 8; x = e + 9; k = q + 20. Given that v = 4, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 55,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = o + 6 to z, which gives z = o + 14.\n2. Substitute o = j + 7 to z, which gives z = j + 21.\n3. Substitute j = n + 1 to z, which gives z = n + 22.\n4. Substitute n = s + 11 to z, which gives z = s + 33.\n5. Substitute s = v + 18 to z, which gives z = v + 51.\n6. Substitute v = 4 to z, which gives z = 55.\n\nThus, the final answer is z = \\boxed{55}.",
"index": 17705,
"question": "Suppose a collection of variables is related by the following definitions: e = p + 17; y = x + 12; c = o + 6; p = k + 4; z = c + 8; o = j + 7; v = 4; s = v + 18; n = s + 11; j = n + 1; q = v + 8; x = e + 9; k = q + 20. Given that v = 4, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 12", "d": "y + 1", "g": "d + 3", "a": "g + 6", "s": "a + 15", "z": "s + 14", "u": "n + 10", "k": "u + 17", "r": "k + 16", "w": "r + 15", "q": "w + 16", "f": "q + 12", "n": 7}, "premises": {"n": 7}, "target": "z"}, "answer": {"steps": [["s", "a + 15", "a + 29"], ["a", "g + 6", "g + 35"], ["g", "d + 3", "d + 38"], ["d", "y + 1", "y + 39"], ["y", "n + 12", "n + 51"], ["n", 7, "58"]], "target_var_name": "z", "target_value": 58, "value_dict": {"n": 7}, "is_reverse": true}} | 17,706 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = n + 12; a = g + 6; g = d + 3; u = n + 10; s = a + 15; k = u + 17; d = y + 1; r = k + 16; f = q + 12; n = 7; z = s + 14; q = w + 16; w = r + 15. Given that n = 7, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = a + 15 to z, which gives z = a + 29.\n2. Substitute a = g + 6 to z, which gives z = g + 35.\n3. Substitute g = d + 3 to z, which gives z = d + 38.\n4. Substitute d = y + 1 to z, which gives z = y + 39.\n5. Substitute y = n + 12 to z, which gives z = n + 51.\n6. Substitute n = 7 to z, which gives z = 58.\n\nThus, the final answer is z = \\boxed{58}.",
"index": 17706,
"question": "Suppose a collection of variables is related by the following definitions: y = n + 12; a = g + 6; g = d + 3; u = n + 10; s = a + 15; k = u + 17; d = y + 1; r = k + 16; f = q + 12; n = 7; z = s + 14; q = w + 16; w = r + 15. Given that n = 7, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"l": "u + 15", "z": "l + 20", "o": "z + 6", "a": "o + 1", "p": "a + 10", "c": "p + 15", "t": "u + 6", "w": "t + 6", "d": "w + 14", "k": "d + 17", "h": "k + 15", "y": "h + 7", "u": 20}, "premises": {"u": 20}, "target": "c"}, "answer": {"steps": [["p", "a + 10", "a + 25"], ["a", "o + 1", "o + 26"], ["o", "z + 6", "z + 32"], ["z", "l + 20", "l + 52"], ["l", "u + 15", "u + 67"], ["u", 20, "87"]], "target_var_name": "c", "target_value": 87, "value_dict": {"u": 20}, "is_reverse": true}} | 17,707 | 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 = u + 6; p = a + 10; l = u + 15; k = d + 17; c = p + 15; w = t + 6; y = h + 7; d = w + 14; z = l + 20; a = o + 1; o = z + 6; u = 20; h = k + 15. If u = 20, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 10 to c, which gives c = a + 25.\n2. Substitute a = o + 1 to c, which gives c = o + 26.\n3. Substitute o = z + 6 to c, which gives c = z + 32.\n4. Substitute z = l + 20 to c, which gives c = l + 52.\n5. Substitute l = u + 15 to c, which gives c = u + 67.\n6. Substitute u = 20 to c, which gives c = 87.\n\nThus, the final answer is c = \\boxed{87}.",
"index": 17707,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = u + 6; p = a + 10; l = u + 15; k = d + 17; c = p + 15; w = t + 6; y = h + 7; d = w + 14; z = l + 20; a = o + 1; o = z + 6; u = 20; h = k + 15. If u = 20, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"n": "v + 20", "m": "n + 4", "u": "m + 17", "h": "u + 14", "t": "h + 16", "w": "t + 14", "f": "v + 20", "e": "f + 16", "r": "e + 2", "d": "r + 16", "s": "d + 19", "b": "s + 18", "v": 19}, "premises": {"v": 19}, "target": "w"}, "answer": {"steps": [["t", "h + 16", "h + 30"], ["h", "u + 14", "u + 44"], ["u", "m + 17", "m + 61"], ["m", "n + 4", "n + 65"], ["n", "v + 20", "v + 85"], ["v", 19, "104"]], "target_var_name": "w", "target_value": 104, "value_dict": {"v": 19}, "is_reverse": true}} | 17,708 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 4; t = h + 16; e = f + 16; d = r + 16; u = m + 17; s = d + 19; h = u + 14; w = t + 14; f = v + 20; r = e + 2; v = 19; b = s + 18; n = v + 20. If v = 19, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 16 to w, which gives w = h + 30.\n2. Substitute h = u + 14 to w, which gives w = u + 44.\n3. Substitute u = m + 17 to w, which gives w = m + 61.\n4. Substitute m = n + 4 to w, which gives w = n + 65.\n5. Substitute n = v + 20 to w, which gives w = v + 85.\n6. Substitute v = 19 to w, which gives w = 104.\n\nThus, the final answer is w = \\boxed{104}.",
"index": 17708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = n + 4; t = h + 16; e = f + 16; d = r + 16; u = m + 17; s = d + 19; h = u + 14; w = t + 14; f = v + 20; r = e + 2; v = 19; b = s + 18; n = v + 20. If v = 19, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"w": "z + 15", "h": "w + 9", "o": "h + 17", "v": "o + 19", "c": "v + 19", "i": "c + 12", "a": "z + 14", "b": "a + 17", "j": "b + 12", "p": "j + 8", "l": "p + 16", "s": "l + 10", "z": 7}, "premises": {"z": 7}, "target": "i"}, "answer": {"steps": [["c", "v + 19", "v + 31"], ["v", "o + 19", "o + 50"], ["o", "h + 17", "h + 67"], ["h", "w + 9", "w + 76"], ["w", "z + 15", "z + 91"], ["z", 7, "98"]], "target_var_name": "i", "target_value": 98, "value_dict": {"z": 7}, "is_reverse": true}} | 17,709 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = 7; j = b + 12; o = h + 17; p = j + 8; s = l + 10; h = w + 9; l = p + 16; v = o + 19; b = a + 17; a = z + 14; w = z + 15; i = c + 12; c = v + 19. Given that z = 7, find the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 98,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = v + 19 to i, which gives i = v + 31.\n2. Substitute v = o + 19 to i, which gives i = o + 50.\n3. Substitute o = h + 17 to i, which gives i = h + 67.\n4. Substitute h = w + 9 to i, which gives i = w + 76.\n5. Substitute w = z + 15 to i, which gives i = z + 91.\n6. Substitute z = 7 to i, which gives i = 98.\n\nThus, the final answer is i = \\boxed{98}.",
"index": 17709,
"question": "Suppose a collection of variables is related by the following definitions: z = 7; j = b + 12; o = h + 17; p = j + 8; s = l + 10; h = w + 9; l = p + 16; v = o + 19; b = a + 17; a = z + 14; w = z + 15; i = c + 12; c = v + 19. Given that z = 7, find the value of i.",
"split": "train"
} |
{"problem": {"rules": {"b": "f + 7", "r": "b + 13", "u": "r + 13", "h": "u + 10", "l": "h + 5", "o": "l + 12", "p": "f + 5", "n": "p + 18", "a": "n + 18", "c": "a + 7", "g": "c + 10", "t": "g + 5", "f": 16}, "premises": {"f": 16}, "target": "o"}, "answer": {"steps": [["l", "h + 5", "h + 17"], ["h", "u + 10", "u + 27"], ["u", "r + 13", "r + 40"], ["r", "b + 13", "b + 53"], ["b", "f + 7", "f + 60"], ["f", 16, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"f": 16}, "is_reverse": true}} | 17,710 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: t = g + 5; l = h + 5; g = c + 10; a = n + 18; p = f + 5; h = u + 10; b = f + 7; f = 16; c = a + 7; r = b + 13; u = r + 13; n = p + 18; o = l + 12. Given that f = 16, find the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 5 to o, which gives o = h + 17.\n2. Substitute h = u + 10 to o, which gives o = u + 27.\n3. Substitute u = r + 13 to o, which gives o = r + 40.\n4. Substitute r = b + 13 to o, which gives o = b + 53.\n5. Substitute b = f + 7 to o, which gives o = f + 60.\n6. Substitute f = 16 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 17710,
"question": "Suppose a collection of variables is related by the following definitions: t = g + 5; l = h + 5; g = c + 10; a = n + 18; p = f + 5; h = u + 10; b = f + 7; f = 16; c = a + 7; r = b + 13; u = r + 13; n = p + 18; o = l + 12. Given that f = 16, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"n": "t + 17", "e": "n + 15", "f": "e + 18", "b": "f + 12", "w": "b + 4", "q": "w + 2", "c": "t + 4", "y": "c + 11", "r": "y + 6", "u": "r + 6", "i": "u + 19", "m": "i + 6", "t": 13}, "premises": {"t": 13}, "target": "q"}, "answer": {"steps": [["w", "b + 4", "b + 6"], ["b", "f + 12", "f + 18"], ["f", "e + 18", "e + 36"], ["e", "n + 15", "n + 51"], ["n", "t + 17", "t + 68"], ["t", 13, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"t": 13}, "is_reverse": true}} | 17,711 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 6; f = e + 18; r = y + 6; n = t + 17; b = f + 12; e = n + 15; w = b + 4; i = u + 19; t = 13; y = c + 11; c = t + 4; u = r + 6; q = w + 2. If t = 13, what is the resulting value of q?",
"role": "user"
}
] | math | {
"ground_truth": 81,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = b + 4 to q, which gives q = b + 6.\n2. Substitute b = f + 12 to q, which gives q = f + 18.\n3. Substitute f = e + 18 to q, which gives q = e + 36.\n4. Substitute e = n + 15 to q, which gives q = n + 51.\n5. Substitute n = t + 17 to q, which gives q = t + 68.\n6. Substitute t = 13 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 17711,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = i + 6; f = e + 18; r = y + 6; n = t + 17; b = f + 12; e = n + 15; w = b + 4; i = u + 19; t = 13; y = c + 11; c = t + 4; u = r + 6; q = w + 2. If t = 13, what is the resulting value of q?",
"split": "train"
} |
{"problem": {"rules": {"o": "v + 1", "e": "o + 18", "m": "e + 9", "l": "m + 17", "y": "l + 1", "g": "y + 16", "r": "v + 1", "b": "r + 12", "u": "b + 6", "n": "u + 16", "h": "n + 7", "x": "h + 19", "v": 15}, "premises": {"v": 15}, "target": "g"}, "answer": {"steps": [["y", "l + 1", "l + 17"], ["l", "m + 17", "m + 34"], ["m", "e + 9", "e + 43"], ["e", "o + 18", "o + 61"], ["o", "v + 1", "v + 62"], ["v", 15, "77"]], "target_var_name": "g", "target_value": 77, "value_dict": {"v": 15}, "is_reverse": true}} | 17,712 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 16; y = l + 1; o = v + 1; n = u + 16; m = e + 9; b = r + 12; x = h + 19; r = v + 1; l = m + 17; e = o + 18; u = b + 6; v = 15; h = n + 7. If v = 15, what is the resulting value of g?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = l + 1 to g, which gives g = l + 17.\n2. Substitute l = m + 17 to g, which gives g = m + 34.\n3. Substitute m = e + 9 to g, which gives g = e + 43.\n4. Substitute e = o + 18 to g, which gives g = o + 61.\n5. Substitute o = v + 1 to g, which gives g = v + 62.\n6. Substitute v = 15 to g, which gives g = 77.\n\nThus, the final answer is g = \\boxed{77}.",
"index": 17712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = y + 16; y = l + 1; o = v + 1; n = u + 16; m = e + 9; b = r + 12; x = h + 19; r = v + 1; l = m + 17; e = o + 18; u = b + 6; v = 15; h = n + 7. If v = 15, what is the resulting value of g?",
"split": "train"
} |
{"problem": {"rules": {"t": "q + 16", "r": "t + 7", "a": "r + 3", "u": "a + 2", "y": "u + 10", "e": "y + 13", "k": "q + 14", "g": "k + 6", "d": "g + 10", "z": "d + 9", "c": "z + 5", "n": "c + 16", "q": 11}, "premises": {"q": 11}, "target": "e"}, "answer": {"steps": [["y", "u + 10", "u + 23"], ["u", "a + 2", "a + 25"], ["a", "r + 3", "r + 28"], ["r", "t + 7", "t + 35"], ["t", "q + 16", "q + 51"], ["q", 11, "62"]], "target_var_name": "e", "target_value": 62, "value_dict": {"q": 11}, "is_reverse": true}} | 17,713 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = u + 10; g = k + 6; r = t + 7; a = r + 3; k = q + 14; z = d + 9; e = y + 13; c = z + 5; d = g + 10; t = q + 16; n = c + 16; q = 11; u = a + 2. Given that q = 11, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 10 to e, which gives e = u + 23.\n2. Substitute u = a + 2 to e, which gives e = a + 25.\n3. Substitute a = r + 3 to e, which gives e = r + 28.\n4. Substitute r = t + 7 to e, which gives e = t + 35.\n5. Substitute t = q + 16 to e, which gives e = q + 51.\n6. Substitute q = 11 to e, which gives e = 62.\n\nThus, the final answer is e = \\boxed{62}.",
"index": 17713,
"question": "Suppose a collection of variables is related by the following definitions: y = u + 10; g = k + 6; r = t + 7; a = r + 3; k = q + 14; z = d + 9; e = y + 13; c = z + 5; d = g + 10; t = q + 16; n = c + 16; q = 11; u = a + 2. Given that q = 11, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"c": "z + 8", "h": "c + 6", "f": "h + 10", "t": "f + 4", "g": "t + 20", "u": "g + 19", "d": "z + 9", "p": "d + 19", "y": "p + 2", "r": "y + 13", "x": "r + 9", "l": "x + 5", "z": 15}, "premises": {"z": 15}, "target": "u"}, "answer": {"steps": [["g", "t + 20", "t + 39"], ["t", "f + 4", "f + 43"], ["f", "h + 10", "h + 53"], ["h", "c + 6", "c + 59"], ["c", "z + 8", "z + 67"], ["z", 15, "82"]], "target_var_name": "u", "target_value": 82, "value_dict": {"z": 15}, "is_reverse": true}} | 17,714 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: r = y + 13; c = z + 8; g = t + 20; h = c + 6; l = x + 5; d = z + 9; f = h + 10; y = p + 2; u = g + 19; x = r + 9; z = 15; t = f + 4; p = d + 19. Given that z = 15, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = t + 20 to u, which gives u = t + 39.\n2. Substitute t = f + 4 to u, which gives u = f + 43.\n3. Substitute f = h + 10 to u, which gives u = h + 53.\n4. Substitute h = c + 6 to u, which gives u = c + 59.\n5. Substitute c = z + 8 to u, which gives u = z + 67.\n6. Substitute z = 15 to u, which gives u = 82.\n\nThus, the final answer is u = \\boxed{82}.",
"index": 17714,
"question": "Suppose a collection of variables is related by the following definitions: r = y + 13; c = z + 8; g = t + 20; h = c + 6; l = x + 5; d = z + 9; f = h + 10; y = p + 2; u = g + 19; x = r + 9; z = 15; t = f + 4; p = d + 19. Given that z = 15, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"c": "q + 7", "u": "c + 18", "k": "u + 1", "a": "k + 20", "g": "a + 8", "o": "g + 8", "m": "q + 19", "y": "m + 1", "h": "y + 2", "v": "h + 12", "f": "v + 14", "d": "f + 16", "q": 9}, "premises": {"q": 9}, "target": "o"}, "answer": {"steps": [["g", "a + 8", "a + 16"], ["a", "k + 20", "k + 36"], ["k", "u + 1", "u + 37"], ["u", "c + 18", "c + 55"], ["c", "q + 7", "q + 62"], ["q", 9, "71"]], "target_var_name": "o", "target_value": 71, "value_dict": {"q": 9}, "is_reverse": true}} | 17,715 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = m + 1; f = v + 14; o = g + 8; d = f + 16; v = h + 12; c = q + 7; g = a + 8; a = k + 20; m = q + 19; u = c + 18; h = y + 2; k = u + 1; q = 9. If q = 9, determine the value of o.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 8 to o, which gives o = a + 16.\n2. Substitute a = k + 20 to o, which gives o = k + 36.\n3. Substitute k = u + 1 to o, which gives o = u + 37.\n4. Substitute u = c + 18 to o, which gives o = c + 55.\n5. Substitute c = q + 7 to o, which gives o = q + 62.\n6. Substitute q = 9 to o, which gives o = 71.\n\nThus, the final answer is o = \\boxed{71}.",
"index": 17715,
"question": "Consider a system of variables where each variable is defined as follows: y = m + 1; f = v + 14; o = g + 8; d = f + 16; v = h + 12; c = q + 7; g = a + 8; a = k + 20; m = q + 19; u = c + 18; h = y + 2; k = u + 1; q = 9. If q = 9, determine the value of o.",
"split": "train"
} |
{"problem": {"rules": {"t": "p + 6", "y": "t + 2", "u": "y + 6", "d": "u + 12", "g": "d + 13", "n": "g + 2", "h": "p + 20", "i": "h + 12", "k": "i + 6", "o": "k + 6", "j": "o + 1", "s": "j + 1", "p": 1}, "premises": {"p": 1}, "target": "n"}, "answer": {"steps": [["g", "d + 13", "d + 15"], ["d", "u + 12", "u + 27"], ["u", "y + 6", "y + 33"], ["y", "t + 2", "t + 35"], ["t", "p + 6", "p + 41"], ["p", 1, "42"]], "target_var_name": "n", "target_value": 42, "value_dict": {"p": 1}, "is_reverse": true}} | 17,716 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 12; o = k + 6; p = 1; t = p + 6; y = t + 2; j = o + 1; g = d + 13; s = j + 1; h = p + 20; n = g + 2; u = y + 6; d = u + 12; k = i + 6. Given that p = 1, find the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 42,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = d + 13 to n, which gives n = d + 15.\n2. Substitute d = u + 12 to n, which gives n = u + 27.\n3. Substitute u = y + 6 to n, which gives n = y + 33.\n4. Substitute y = t + 2 to n, which gives n = t + 35.\n5. Substitute t = p + 6 to n, which gives n = p + 41.\n6. Substitute p = 1 to n, which gives n = 42.\n\nThus, the final answer is n = \\boxed{42}.",
"index": 17716,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 12; o = k + 6; p = 1; t = p + 6; y = t + 2; j = o + 1; g = d + 13; s = j + 1; h = p + 20; n = g + 2; u = y + 6; d = u + 12; k = i + 6. Given that p = 1, find the value of n.",
"split": "train"
} |
{"problem": {"rules": {"u": "y + 18", "l": "u + 15", "a": "l + 2", "z": "a + 18", "q": "z + 3", "v": "q + 15", "k": "y + 15", "j": "k + 20", "e": "j + 19", "p": "e + 13", "f": "p + 6", "m": "f + 4", "y": 4}, "premises": {"y": 4}, "target": "v"}, "answer": {"steps": [["q", "z + 3", "z + 18"], ["z", "a + 18", "a + 36"], ["a", "l + 2", "l + 38"], ["l", "u + 15", "u + 53"], ["u", "y + 18", "y + 71"], ["y", 4, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"y": 4}, "is_reverse": true}} | 17,717 | 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 = a + 18; v = q + 15; u = y + 18; e = j + 19; p = e + 13; y = 4; f = p + 6; m = f + 4; q = z + 3; j = k + 20; l = u + 15; a = l + 2; k = y + 15. If y = 4, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = z + 3 to v, which gives v = z + 18.\n2. Substitute z = a + 18 to v, which gives v = a + 36.\n3. Substitute a = l + 2 to v, which gives v = l + 38.\n4. Substitute l = u + 15 to v, which gives v = u + 53.\n5. Substitute u = y + 18 to v, which gives v = y + 71.\n6. Substitute y = 4 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 17717,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = a + 18; v = q + 15; u = y + 18; e = j + 19; p = e + 13; y = 4; f = p + 6; m = f + 4; q = z + 3; j = k + 20; l = u + 15; a = l + 2; k = y + 15. If y = 4, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"v": "c + 16", "q": "v + 18", "i": "q + 5", "d": "i + 4", "j": "d + 11", "w": "j + 17", "n": "c + 4", "y": "n + 14", "z": "y + 16", "a": "z + 9", "b": "a + 16", "p": "b + 4", "c": 3}, "premises": {"c": 3}, "target": "w"}, "answer": {"steps": [["j", "d + 11", "d + 28"], ["d", "i + 4", "i + 32"], ["i", "q + 5", "q + 37"], ["q", "v + 18", "v + 55"], ["v", "c + 16", "c + 71"], ["c", 3, "74"]], "target_var_name": "w", "target_value": 74, "value_dict": {"c": 3}, "is_reverse": true}} | 17,718 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 17; j = d + 11; y = n + 14; a = z + 9; v = c + 16; n = c + 4; p = b + 4; c = 3; d = i + 4; z = y + 16; b = a + 16; i = q + 5; q = v + 18. If c = 3, what is the resulting value of w?",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = d + 11 to w, which gives w = d + 28.\n2. Substitute d = i + 4 to w, which gives w = i + 32.\n3. Substitute i = q + 5 to w, which gives w = q + 37.\n4. Substitute q = v + 18 to w, which gives w = v + 55.\n5. Substitute v = c + 16 to w, which gives w = c + 71.\n6. Substitute c = 3 to w, which gives w = 74.\n\nThus, the final answer is w = \\boxed{74}.",
"index": 17718,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 17; j = d + 11; y = n + 14; a = z + 9; v = c + 16; n = c + 4; p = b + 4; c = 3; d = i + 4; z = y + 16; b = a + 16; i = q + 5; q = v + 18. If c = 3, what is the resulting value of w?",
"split": "train"
} |
{"problem": {"rules": {"i": "q + 18", "l": "i + 1", "j": "l + 9", "g": "j + 1", "s": "g + 5", "p": "s + 14", "t": "q + 5", "o": "t + 18", "b": "o + 16", "h": "b + 10", "n": "h + 7", "z": "n + 8", "q": 9}, "premises": {"q": 9}, "target": "p"}, "answer": {"steps": [["s", "g + 5", "g + 19"], ["g", "j + 1", "j + 20"], ["j", "l + 9", "l + 29"], ["l", "i + 1", "i + 30"], ["i", "q + 18", "q + 48"], ["q", 9, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"q": 9}, "is_reverse": true}} | 17,719 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = 9; t = q + 5; j = l + 9; h = b + 10; s = g + 5; p = s + 14; g = j + 1; n = h + 7; z = n + 8; l = i + 1; i = q + 18; o = t + 18; b = o + 16. If q = 9, determine the value of p.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = g + 5 to p, which gives p = g + 19.\n2. Substitute g = j + 1 to p, which gives p = j + 20.\n3. Substitute j = l + 9 to p, which gives p = l + 29.\n4. Substitute l = i + 1 to p, which gives p = i + 30.\n5. Substitute i = q + 18 to p, which gives p = q + 48.\n6. Substitute q = 9 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 17719,
"question": "Consider a system of variables where each variable is defined as follows: q = 9; t = q + 5; j = l + 9; h = b + 10; s = g + 5; p = s + 14; g = j + 1; n = h + 7; z = n + 8; l = i + 1; i = q + 18; o = t + 18; b = o + 16. If q = 9, determine the value of p.",
"split": "train"
} |
{"problem": {"rules": {"u": "s + 14", "j": "u + 1", "r": "j + 20", "c": "r + 16", "v": "c + 19", "i": "v + 18", "w": "s + 4", "o": "w + 5", "d": "o + 9", "k": "d + 10", "q": "k + 2", "m": "q + 11", "s": 16}, "premises": {"s": 16}, "target": "i"}, "answer": {"steps": [["v", "c + 19", "c + 37"], ["c", "r + 16", "r + 53"], ["r", "j + 20", "j + 73"], ["j", "u + 1", "u + 74"], ["u", "s + 14", "s + 88"], ["s", 16, "104"]], "target_var_name": "i", "target_value": 104, "value_dict": {"s": 16}, "is_reverse": true}} | 17,720 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = c + 19; k = d + 10; q = k + 2; u = s + 14; d = o + 9; c = r + 16; m = q + 11; i = v + 18; w = s + 4; s = 16; o = w + 5; j = u + 1; r = j + 20. If s = 16, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 104,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = c + 19 to i, which gives i = c + 37.\n2. Substitute c = r + 16 to i, which gives i = r + 53.\n3. Substitute r = j + 20 to i, which gives i = j + 73.\n4. Substitute j = u + 1 to i, which gives i = u + 74.\n5. Substitute u = s + 14 to i, which gives i = s + 88.\n6. Substitute s = 16 to i, which gives i = 104.\n\nThus, the final answer is i = \\boxed{104}.",
"index": 17720,
"question": "Consider a system of variables where each variable is defined as follows: v = c + 19; k = d + 10; q = k + 2; u = s + 14; d = o + 9; c = r + 16; m = q + 11; i = v + 18; w = s + 4; s = 16; o = w + 5; j = u + 1; r = j + 20. If s = 16, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"j": "p + 4", "d": "j + 1", "f": "d + 2", "a": "f + 16", "q": "a + 4", "i": "q + 3", "m": "p + 13", "y": "m + 8", "n": "y + 6", "s": "n + 7", "c": "s + 10", "o": "c + 16", "p": 11}, "premises": {"p": 11}, "target": "i"}, "answer": {"steps": [["q", "a + 4", "a + 7"], ["a", "f + 16", "f + 23"], ["f", "d + 2", "d + 25"], ["d", "j + 1", "j + 26"], ["j", "p + 4", "p + 30"], ["p", 11, "41"]], "target_var_name": "i", "target_value": 41, "value_dict": {"p": 11}, "is_reverse": true}} | 17,721 | 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 = y + 6; a = f + 16; c = s + 10; s = n + 7; p = 11; y = m + 8; q = a + 4; o = c + 16; i = q + 3; m = p + 13; d = j + 1; f = d + 2; j = p + 4. If p = 11, what is the resulting value of i?",
"role": "user"
}
] | math | {
"ground_truth": 41,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 4 to i, which gives i = a + 7.\n2. Substitute a = f + 16 to i, which gives i = f + 23.\n3. Substitute f = d + 2 to i, which gives i = d + 25.\n4. Substitute d = j + 1 to i, which gives i = j + 26.\n5. Substitute j = p + 4 to i, which gives i = p + 30.\n6. Substitute p = 11 to i, which gives i = 41.\n\nThus, the final answer is i = \\boxed{41}.",
"index": 17721,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = y + 6; a = f + 16; c = s + 10; s = n + 7; p = 11; y = m + 8; q = a + 4; o = c + 16; i = q + 3; m = p + 13; d = j + 1; f = d + 2; j = p + 4. If p = 11, what is the resulting value of i?",
"split": "train"
} |
{"problem": {"rules": {"o": "s + 15", "p": "o + 18", "v": "p + 13", "k": "v + 7", "e": "k + 6", "t": "e + 7", "h": "s + 3", "j": "h + 16", "d": "j + 2", "w": "d + 5", "b": "w + 15", "a": "b + 16", "s": 2}, "premises": {"s": 2}, "target": "t"}, "answer": {"steps": [["e", "k + 6", "k + 13"], ["k", "v + 7", "v + 20"], ["v", "p + 13", "p + 33"], ["p", "o + 18", "o + 51"], ["o", "s + 15", "s + 66"], ["s", 2, "68"]], "target_var_name": "t", "target_value": 68, "value_dict": {"s": 2}, "is_reverse": true}} | 17,722 | 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 = h + 16; o = s + 15; v = p + 13; a = b + 16; k = v + 7; s = 2; w = d + 5; d = j + 2; p = o + 18; h = s + 3; t = e + 7; e = k + 6; b = w + 15. If s = 2, what is the resulting value of t?",
"role": "user"
}
] | math | {
"ground_truth": 68,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = k + 6 to t, which gives t = k + 13.\n2. Substitute k = v + 7 to t, which gives t = v + 20.\n3. Substitute v = p + 13 to t, which gives t = p + 33.\n4. Substitute p = o + 18 to t, which gives t = o + 51.\n5. Substitute o = s + 15 to t, which gives t = s + 66.\n6. Substitute s = 2 to t, which gives t = 68.\n\nThus, the final answer is t = \\boxed{68}.",
"index": 17722,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = h + 16; o = s + 15; v = p + 13; a = b + 16; k = v + 7; s = 2; w = d + 5; d = j + 2; p = o + 18; h = s + 3; t = e + 7; e = k + 6; b = w + 15. If s = 2, what is the resulting value of t?",
"split": "train"
} |
{"problem": {"rules": {"s": "j + 8", "m": "s + 9", "o": "m + 19", "u": "o + 1", "f": "u + 18", "l": "f + 18", "i": "j + 20", "v": "i + 16", "g": "v + 17", "w": "g + 18", "k": "w + 13", "d": "k + 1", "j": 7}, "premises": {"j": 7}, "target": "l"}, "answer": {"steps": [["f", "u + 18", "u + 36"], ["u", "o + 1", "o + 37"], ["o", "m + 19", "m + 56"], ["m", "s + 9", "s + 65"], ["s", "j + 8", "j + 73"], ["j", 7, "80"]], "target_var_name": "l", "target_value": 80, "value_dict": {"j": 7}, "is_reverse": true}} | 17,723 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: f = u + 18; v = i + 16; o = m + 19; k = w + 13; s = j + 8; j = 7; g = v + 17; i = j + 20; w = g + 18; l = f + 18; m = s + 9; d = k + 1; u = o + 1. Given that j = 7, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = u + 18 to l, which gives l = u + 36.\n2. Substitute u = o + 1 to l, which gives l = o + 37.\n3. Substitute o = m + 19 to l, which gives l = m + 56.\n4. Substitute m = s + 9 to l, which gives l = s + 65.\n5. Substitute s = j + 8 to l, which gives l = j + 73.\n6. Substitute j = 7 to l, which gives l = 80.\n\nThus, the final answer is l = \\boxed{80}.",
"index": 17723,
"question": "Suppose a collection of variables is related by the following definitions: f = u + 18; v = i + 16; o = m + 19; k = w + 13; s = j + 8; j = 7; g = v + 17; i = j + 20; w = g + 18; l = f + 18; m = s + 9; d = k + 1; u = o + 1. Given that j = 7, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "r + 13", "p": "s + 7", "x": "p + 16", "t": "x + 19", "j": "t + 6", "n": "j + 8", "i": "r + 12", "o": "i + 12", "b": "o + 17", "l": "b + 10", "d": "l + 19", "q": "d + 19", "r": 7}, "premises": {"r": 7}, "target": "n"}, "answer": {"steps": [["j", "t + 6", "t + 14"], ["t", "x + 19", "x + 33"], ["x", "p + 16", "p + 49"], ["p", "s + 7", "s + 56"], ["s", "r + 13", "r + 69"], ["r", 7, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"r": 7}, "is_reverse": true}} | 17,724 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: n = j + 8; i = r + 12; t = x + 19; d = l + 19; j = t + 6; o = i + 12; r = 7; q = d + 19; b = o + 17; p = s + 7; l = b + 10; x = p + 16; s = r + 13. If r = 7, 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 j = t + 6 to n, which gives n = t + 14.\n2. Substitute t = x + 19 to n, which gives n = x + 33.\n3. Substitute x = p + 16 to n, which gives n = p + 49.\n4. Substitute p = s + 7 to n, which gives n = s + 56.\n5. Substitute s = r + 13 to n, which gives n = r + 69.\n6. Substitute r = 7 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 17724,
"question": "Consider a system of variables where each variable is defined as follows: n = j + 8; i = r + 12; t = x + 19; d = l + 19; j = t + 6; o = i + 12; r = 7; q = d + 19; b = o + 17; p = s + 7; l = b + 10; x = p + 16; s = r + 13. If r = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"k": "q + 4", "w": "k + 11", "x": "w + 8", "d": "x + 5", "c": "d + 19", "a": "c + 3", "o": "q + 8", "l": "o + 17", "t": "l + 4", "b": "t + 18", "r": "b + 7", "n": "r + 4", "q": 10}, "premises": {"q": 10}, "target": "a"}, "answer": {"steps": [["c", "d + 19", "d + 22"], ["d", "x + 5", "x + 27"], ["x", "w + 8", "w + 35"], ["w", "k + 11", "k + 46"], ["k", "q + 4", "q + 50"], ["q", 10, "60"]], "target_var_name": "a", "target_value": 60, "value_dict": {"q": 10}, "is_reverse": true}} | 17,725 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = q + 4; b = t + 18; x = w + 8; n = r + 4; d = x + 5; t = l + 4; q = 10; c = d + 19; l = o + 17; o = q + 8; r = b + 7; a = c + 3; w = k + 11. Given that q = 10, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 19 to a, which gives a = d + 22.\n2. Substitute d = x + 5 to a, which gives a = x + 27.\n3. Substitute x = w + 8 to a, which gives a = w + 35.\n4. Substitute w = k + 11 to a, which gives a = k + 46.\n5. Substitute k = q + 4 to a, which gives a = q + 50.\n6. Substitute q = 10 to a, which gives a = 60.\n\nThus, the final answer is a = \\boxed{60}.",
"index": 17725,
"question": "Suppose a collection of variables is related by the following definitions: k = q + 4; b = t + 18; x = w + 8; n = r + 4; d = x + 5; t = l + 4; q = 10; c = d + 19; l = o + 17; o = q + 8; r = b + 7; a = c + 3; w = k + 11. Given that q = 10, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"z": "f + 12", "p": "z + 12", "n": "p + 11", "j": "n + 20", "c": "j + 7", "b": "c + 7", "x": "f + 3", "r": "x + 12", "s": "r + 20", "h": "s + 9", "v": "h + 20", "i": "v + 13", "f": 9}, "premises": {"f": 9}, "target": "b"}, "answer": {"steps": [["c", "j + 7", "j + 14"], ["j", "n + 20", "n + 34"], ["n", "p + 11", "p + 45"], ["p", "z + 12", "z + 57"], ["z", "f + 12", "f + 69"], ["f", 9, "78"]], "target_var_name": "b", "target_value": 78, "value_dict": {"f": 9}, "is_reverse": true}} | 17,726 | 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 = f + 3; i = v + 13; v = h + 20; s = r + 20; z = f + 12; r = x + 12; n = p + 11; h = s + 9; j = n + 20; f = 9; p = z + 12; c = j + 7; b = c + 7. If f = 9, what is the resulting value of b?",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = j + 7 to b, which gives b = j + 14.\n2. Substitute j = n + 20 to b, which gives b = n + 34.\n3. Substitute n = p + 11 to b, which gives b = p + 45.\n4. Substitute p = z + 12 to b, which gives b = z + 57.\n5. Substitute z = f + 12 to b, which gives b = f + 69.\n6. Substitute f = 9 to b, which gives b = 78.\n\nThus, the final answer is b = \\boxed{78}.",
"index": 17726,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: x = f + 3; i = v + 13; v = h + 20; s = r + 20; z = f + 12; r = x + 12; n = p + 11; h = s + 9; j = n + 20; f = 9; p = z + 12; c = j + 7; b = c + 7. If f = 9, what is the resulting value of b?",
"split": "train"
} |
{"problem": {"rules": {"e": "t + 14", "a": "e + 2", "x": "a + 8", "n": "x + 12", "v": "n + 14", "s": "v + 11", "r": "t + 11", "w": "r + 20", "q": "w + 14", "j": "q + 16", "i": "j + 5", "u": "i + 7", "t": 4}, "premises": {"t": 4}, "target": "s"}, "answer": {"steps": [["v", "n + 14", "n + 25"], ["n", "x + 12", "x + 37"], ["x", "a + 8", "a + 45"], ["a", "e + 2", "e + 47"], ["e", "t + 14", "t + 61"], ["t", 4, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"t": 4}, "is_reverse": true}} | 17,727 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: v = n + 14; u = i + 7; e = t + 14; a = e + 2; s = v + 11; i = j + 5; j = q + 16; n = x + 12; t = 4; x = a + 8; q = w + 14; w = r + 20; r = t + 11. If t = 4, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = n + 14 to s, which gives s = n + 25.\n2. Substitute n = x + 12 to s, which gives s = x + 37.\n3. Substitute x = a + 8 to s, which gives s = a + 45.\n4. Substitute a = e + 2 to s, which gives s = e + 47.\n5. Substitute e = t + 14 to s, which gives s = t + 61.\n6. Substitute t = 4 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 17727,
"question": "Consider a system of variables where each variable is defined as follows: v = n + 14; u = i + 7; e = t + 14; a = e + 2; s = v + 11; i = j + 5; j = q + 16; n = x + 12; t = 4; x = a + 8; q = w + 14; w = r + 20; r = t + 11. If t = 4, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"m": "u + 1", "i": "m + 14", "q": "i + 10", "l": "q + 14", "f": "l + 1", "x": "f + 10", "e": "u + 6", "w": "e + 9", "s": "w + 18", "g": "s + 9", "p": "g + 18", "r": "p + 10", "u": 7}, "premises": {"u": 7}, "target": "x"}, "answer": {"steps": [["f", "l + 1", "l + 11"], ["l", "q + 14", "q + 25"], ["q", "i + 10", "i + 35"], ["i", "m + 14", "m + 49"], ["m", "u + 1", "u + 50"], ["u", 7, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"u": 7}, "is_reverse": true}} | 17,728 | 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 = g + 18; w = e + 9; x = f + 10; g = s + 9; f = l + 1; q = i + 10; l = q + 14; s = w + 18; r = p + 10; e = u + 6; i = m + 14; u = 7; m = u + 1. If u = 7, what is the resulting value of x?",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = l + 1 to x, which gives x = l + 11.\n2. Substitute l = q + 14 to x, which gives x = q + 25.\n3. Substitute q = i + 10 to x, which gives x = i + 35.\n4. Substitute i = m + 14 to x, which gives x = m + 49.\n5. Substitute m = u + 1 to x, which gives x = u + 50.\n6. Substitute u = 7 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 17728,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: p = g + 18; w = e + 9; x = f + 10; g = s + 9; f = l + 1; q = i + 10; l = q + 14; s = w + 18; r = p + 10; e = u + 6; i = m + 14; u = 7; m = u + 1. If u = 7, what is the resulting value of x?",
"split": "train"
} |
{"problem": {"rules": {"m": "o + 2", "q": "m + 14", "p": "q + 18", "j": "p + 5", "d": "j + 19", "v": "d + 2", "c": "o + 3", "x": "c + 7", "s": "x + 14", "f": "s + 15", "w": "f + 4", "h": "w + 18", "o": 5}, "premises": {"o": 5}, "target": "v"}, "answer": {"steps": [["d", "j + 19", "j + 21"], ["j", "p + 5", "p + 26"], ["p", "q + 18", "q + 44"], ["q", "m + 14", "m + 58"], ["m", "o + 2", "o + 60"], ["o", 5, "65"]], "target_var_name": "v", "target_value": 65, "value_dict": {"o": 5}, "is_reverse": true}} | 17,729 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: o = 5; q = m + 14; w = f + 4; s = x + 14; x = c + 7; d = j + 19; c = o + 3; j = p + 5; m = o + 2; h = w + 18; p = q + 18; f = s + 15; v = d + 2. If o = 5, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 19 to v, which gives v = j + 21.\n2. Substitute j = p + 5 to v, which gives v = p + 26.\n3. Substitute p = q + 18 to v, which gives v = q + 44.\n4. Substitute q = m + 14 to v, which gives v = m + 58.\n5. Substitute m = o + 2 to v, which gives v = o + 60.\n6. Substitute o = 5 to v, which gives v = 65.\n\nThus, the final answer is v = \\boxed{65}.",
"index": 17729,
"question": "Consider a system of variables where each variable is defined as follows: o = 5; q = m + 14; w = f + 4; s = x + 14; x = c + 7; d = j + 19; c = o + 3; j = p + 5; m = o + 2; h = w + 18; p = q + 18; f = s + 15; v = d + 2. If o = 5, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"u": "k + 7", "h": "u + 10", "p": "h + 4", "l": "p + 15", "w": "l + 2", "v": "w + 18", "i": "k + 5", "o": "i + 20", "j": "o + 4", "n": "j + 11", "y": "n + 8", "c": "y + 20", "k": 5}, "premises": {"k": 5}, "target": "v"}, "answer": {"steps": [["w", "l + 2", "l + 20"], ["l", "p + 15", "p + 35"], ["p", "h + 4", "h + 39"], ["h", "u + 10", "u + 49"], ["u", "k + 7", "k + 56"], ["k", 5, "61"]], "target_var_name": "v", "target_value": 61, "value_dict": {"k": 5}, "is_reverse": true}} | 17,730 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: o = i + 20; c = y + 20; v = w + 18; p = h + 4; u = k + 7; k = 5; i = k + 5; h = u + 10; j = o + 4; y = n + 8; n = j + 11; l = p + 15; w = l + 2. Given that k = 5, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = l + 2 to v, which gives v = l + 20.\n2. Substitute l = p + 15 to v, which gives v = p + 35.\n3. Substitute p = h + 4 to v, which gives v = h + 39.\n4. Substitute h = u + 10 to v, which gives v = u + 49.\n5. Substitute u = k + 7 to v, which gives v = k + 56.\n6. Substitute k = 5 to v, which gives v = 61.\n\nThus, the final answer is v = \\boxed{61}.",
"index": 17730,
"question": "Suppose a collection of variables is related by the following definitions: o = i + 20; c = y + 20; v = w + 18; p = h + 4; u = k + 7; k = 5; i = k + 5; h = u + 10; j = o + 4; y = n + 8; n = j + 11; l = p + 15; w = l + 2. Given that k = 5, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"x": "z + 19", "i": "x + 3", "c": "i + 18", "j": "c + 12", "p": "j + 1", "o": "p + 15", "e": "z + 7", "y": "e + 4", "g": "y + 19", "n": "g + 2", "d": "n + 8", "t": "d + 15", "z": 12}, "premises": {"z": 12}, "target": "o"}, "answer": {"steps": [["p", "j + 1", "j + 16"], ["j", "c + 12", "c + 28"], ["c", "i + 18", "i + 46"], ["i", "x + 3", "x + 49"], ["x", "z + 19", "z + 68"], ["z", 12, "80"]], "target_var_name": "o", "target_value": 80, "value_dict": {"z": 12}, "is_reverse": true}} | 17,731 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: g = y + 19; z = 12; n = g + 2; i = x + 3; c = i + 18; t = d + 15; j = c + 12; d = n + 8; p = j + 1; o = p + 15; y = e + 4; e = z + 7; x = z + 19. Given that z = 12, 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 p = j + 1 to o, which gives o = j + 16.\n2. Substitute j = c + 12 to o, which gives o = c + 28.\n3. Substitute c = i + 18 to o, which gives o = i + 46.\n4. Substitute i = x + 3 to o, which gives o = x + 49.\n5. Substitute x = z + 19 to o, which gives o = z + 68.\n6. Substitute z = 12 to o, which gives o = 80.\n\nThus, the final answer is o = \\boxed{80}.",
"index": 17731,
"question": "Suppose a collection of variables is related by the following definitions: g = y + 19; z = 12; n = g + 2; i = x + 3; c = i + 18; t = d + 15; j = c + 12; d = n + 8; p = j + 1; o = p + 15; y = e + 4; e = z + 7; x = z + 19. Given that z = 12, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "r + 9", "z": "y + 11", "e": "z + 19", "s": "e + 17", "t": "s + 5", "l": "t + 17", "f": "r + 12", "h": "f + 9", "i": "h + 1", "b": "i + 3", "p": "b + 17", "m": "p + 6", "r": 6}, "premises": {"r": 6}, "target": "l"}, "answer": {"steps": [["t", "s + 5", "s + 22"], ["s", "e + 17", "e + 39"], ["e", "z + 19", "z + 58"], ["z", "y + 11", "y + 69"], ["y", "r + 9", "r + 78"], ["r", 6, "84"]], "target_var_name": "l", "target_value": 84, "value_dict": {"r": 6}, "is_reverse": true}} | 17,732 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = f + 9; b = i + 3; r = 6; e = z + 19; l = t + 17; t = s + 5; i = h + 1; s = e + 17; y = r + 9; p = b + 17; z = y + 11; f = r + 12; m = p + 6. If r = 6, determine the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 84,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 5 to l, which gives l = s + 22.\n2. Substitute s = e + 17 to l, which gives l = e + 39.\n3. Substitute e = z + 19 to l, which gives l = z + 58.\n4. Substitute z = y + 11 to l, which gives l = y + 69.\n5. Substitute y = r + 9 to l, which gives l = r + 78.\n6. Substitute r = 6 to l, which gives l = 84.\n\nThus, the final answer is l = \\boxed{84}.",
"index": 17732,
"question": "Consider a system of variables where each variable is defined as follows: h = f + 9; b = i + 3; r = 6; e = z + 19; l = t + 17; t = s + 5; i = h + 1; s = e + 17; y = r + 9; p = b + 17; z = y + 11; f = r + 12; m = p + 6. If r = 6, determine the value of l.",
"split": "train"
} |
{"problem": {"rules": {"w": "n + 14", "k": "w + 15", "g": "k + 11", "h": "g + 5", "j": "h + 16", "l": "j + 13", "r": "n + 20", "a": "r + 9", "i": "a + 17", "z": "i + 13", "c": "z + 12", "x": "c + 10", "n": 16}, "premises": {"n": 16}, "target": "l"}, "answer": {"steps": [["j", "h + 16", "h + 29"], ["h", "g + 5", "g + 34"], ["g", "k + 11", "k + 45"], ["k", "w + 15", "w + 60"], ["w", "n + 14", "n + 74"], ["n", 16, "90"]], "target_var_name": "l", "target_value": 90, "value_dict": {"n": 16}, "is_reverse": true}} | 17,733 | 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 = w + 15; z = i + 13; r = n + 20; h = g + 5; i = a + 17; l = j + 13; w = n + 14; n = 16; g = k + 11; j = h + 16; c = z + 12; x = c + 10; a = r + 9. If n = 16, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 90,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = h + 16 to l, which gives l = h + 29.\n2. Substitute h = g + 5 to l, which gives l = g + 34.\n3. Substitute g = k + 11 to l, which gives l = k + 45.\n4. Substitute k = w + 15 to l, which gives l = w + 60.\n5. Substitute w = n + 14 to l, which gives l = n + 74.\n6. Substitute n = 16 to l, which gives l = 90.\n\nThus, the final answer is l = \\boxed{90}.",
"index": 17733,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = w + 15; z = i + 13; r = n + 20; h = g + 5; i = a + 17; l = j + 13; w = n + 14; n = 16; g = k + 11; j = h + 16; c = z + 12; x = c + 10; a = r + 9. If n = 16, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"d": "q + 4", "m": "d + 3", "v": "m + 4", "e": "v + 10", "s": "e + 8", "r": "s + 8", "l": "q + 5", "g": "l + 11", "z": "g + 3", "n": "z + 5", "i": "n + 11", "f": "i + 8", "q": 9}, "premises": {"q": 9}, "target": "r"}, "answer": {"steps": [["s", "e + 8", "e + 16"], ["e", "v + 10", "v + 26"], ["v", "m + 4", "m + 30"], ["m", "d + 3", "d + 33"], ["d", "q + 4", "q + 37"], ["q", 9, "46"]], "target_var_name": "r", "target_value": 46, "value_dict": {"q": 9}, "is_reverse": true}} | 17,734 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = n + 11; n = z + 5; e = v + 10; r = s + 8; v = m + 4; d = q + 4; g = l + 11; z = g + 3; s = e + 8; f = i + 8; m = d + 3; q = 9; l = q + 5. Given that q = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 46,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = e + 8 to r, which gives r = e + 16.\n2. Substitute e = v + 10 to r, which gives r = v + 26.\n3. Substitute v = m + 4 to r, which gives r = m + 30.\n4. Substitute m = d + 3 to r, which gives r = d + 33.\n5. Substitute d = q + 4 to r, which gives r = q + 37.\n6. Substitute q = 9 to r, which gives r = 46.\n\nThus, the final answer is r = \\boxed{46}.",
"index": 17734,
"question": "Suppose a collection of variables is related by the following definitions: i = n + 11; n = z + 5; e = v + 10; r = s + 8; v = m + 4; d = q + 4; g = l + 11; z = g + 3; s = e + 8; f = i + 8; m = d + 3; q = 9; l = q + 5. Given that q = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"x": "m + 2", "t": "x + 2", "j": "t + 5", "b": "j + 4", "q": "b + 1", "w": "q + 3", "v": "m + 1", "a": "v + 6", "e": "a + 18", "p": "e + 4", "z": "p + 5", "s": "z + 1", "m": 16}, "premises": {"m": 16}, "target": "w"}, "answer": {"steps": [["q", "b + 1", "b + 4"], ["b", "j + 4", "j + 8"], ["j", "t + 5", "t + 13"], ["t", "x + 2", "x + 15"], ["x", "m + 2", "m + 17"], ["m", 16, "33"]], "target_var_name": "w", "target_value": 33, "value_dict": {"m": 16}, "is_reverse": true}} | 17,735 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = b + 1; s = z + 1; w = q + 3; v = m + 1; a = v + 6; t = x + 2; p = e + 4; e = a + 18; b = j + 4; z = p + 5; x = m + 2; j = t + 5; m = 16. If m = 16, determine the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 33,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = b + 1 to w, which gives w = b + 4.\n2. Substitute b = j + 4 to w, which gives w = j + 8.\n3. Substitute j = t + 5 to w, which gives w = t + 13.\n4. Substitute t = x + 2 to w, which gives w = x + 15.\n5. Substitute x = m + 2 to w, which gives w = m + 17.\n6. Substitute m = 16 to w, which gives w = 33.\n\nThus, the final answer is w = \\boxed{33}.",
"index": 17735,
"question": "Consider a system of variables where each variable is defined as follows: q = b + 1; s = z + 1; w = q + 3; v = m + 1; a = v + 6; t = x + 2; p = e + 4; e = a + 18; b = j + 4; z = p + 5; x = m + 2; j = t + 5; m = 16. If m = 16, determine the value of w.",
"split": "train"
} |
{"problem": {"rules": {"a": "q + 20", "w": "a + 15", "g": "w + 12", "d": "g + 5", "u": "d + 15", "s": "u + 16", "x": "q + 16", "o": "x + 20", "t": "o + 10", "r": "t + 19", "z": "r + 3", "p": "z + 7", "q": 8}, "premises": {"q": 8}, "target": "s"}, "answer": {"steps": [["u", "d + 15", "d + 31"], ["d", "g + 5", "g + 36"], ["g", "w + 12", "w + 48"], ["w", "a + 15", "a + 63"], ["a", "q + 20", "q + 83"], ["q", 8, "91"]], "target_var_name": "s", "target_value": 91, "value_dict": {"q": 8}, "is_reverse": true}} | 17,736 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = d + 15; z = r + 3; x = q + 16; s = u + 16; w = a + 15; a = q + 20; g = w + 12; r = t + 19; q = 8; p = z + 7; d = g + 5; t = o + 10; o = x + 20. Given that q = 8, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = d + 15 to s, which gives s = d + 31.\n2. Substitute d = g + 5 to s, which gives s = g + 36.\n3. Substitute g = w + 12 to s, which gives s = w + 48.\n4. Substitute w = a + 15 to s, which gives s = a + 63.\n5. Substitute a = q + 20 to s, which gives s = q + 83.\n6. Substitute q = 8 to s, which gives s = 91.\n\nThus, the final answer is s = \\boxed{91}.",
"index": 17736,
"question": "Suppose a collection of variables is related by the following definitions: u = d + 15; z = r + 3; x = q + 16; s = u + 16; w = a + 15; a = q + 20; g = w + 12; r = t + 19; q = 8; p = z + 7; d = g + 5; t = o + 10; o = x + 20. Given that q = 8, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"g": "n + 18", "q": "g + 16", "r": "q + 8", "w": "r + 2", "o": "w + 11", "z": "o + 16", "e": "n + 1", "l": "e + 5", "d": "l + 17", "m": "d + 11", "v": "m + 15", "i": "v + 6", "n": 6}, "premises": {"n": 6}, "target": "z"}, "answer": {"steps": [["o", "w + 11", "w + 27"], ["w", "r + 2", "r + 29"], ["r", "q + 8", "q + 37"], ["q", "g + 16", "g + 53"], ["g", "n + 18", "n + 71"], ["n", 6, "77"]], "target_var_name": "z", "target_value": 77, "value_dict": {"n": 6}, "is_reverse": true}} | 17,737 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: l = e + 5; o = w + 11; n = 6; v = m + 15; w = r + 2; r = q + 8; g = n + 18; i = v + 6; z = o + 16; q = g + 16; m = d + 11; d = l + 17; e = n + 1. Given that n = 6, 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 o = w + 11 to z, which gives z = w + 27.\n2. Substitute w = r + 2 to z, which gives z = r + 29.\n3. Substitute r = q + 8 to z, which gives z = q + 37.\n4. Substitute q = g + 16 to z, which gives z = g + 53.\n5. Substitute g = n + 18 to z, which gives z = n + 71.\n6. Substitute n = 6 to z, which gives z = 77.\n\nThus, the final answer is z = \\boxed{77}.",
"index": 17737,
"question": "Suppose a collection of variables is related by the following definitions: l = e + 5; o = w + 11; n = 6; v = m + 15; w = r + 2; r = q + 8; g = n + 18; i = v + 6; z = o + 16; q = g + 16; m = d + 11; d = l + 17; e = n + 1. Given that n = 6, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"y": "q + 15", "o": "y + 12", "k": "o + 17", "z": "k + 12", "j": "z + 7", "l": "j + 2", "f": "q + 3", "w": "f + 5", "x": "w + 4", "i": "x + 1", "r": "i + 13", "b": "r + 6", "q": 11}, "premises": {"q": 11}, "target": "l"}, "answer": {"steps": [["j", "z + 7", "z + 9"], ["z", "k + 12", "k + 21"], ["k", "o + 17", "o + 38"], ["o", "y + 12", "y + 50"], ["y", "q + 15", "q + 65"], ["q", 11, "76"]], "target_var_name": "l", "target_value": 76, "value_dict": {"q": 11}, "is_reverse": true}} | 17,738 | 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 = o + 17; j = z + 7; f = q + 3; z = k + 12; o = y + 12; b = r + 6; l = j + 2; x = w + 4; w = f + 5; q = 11; y = q + 15; i = x + 1; r = i + 13. If q = 11, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = z + 7 to l, which gives l = z + 9.\n2. Substitute z = k + 12 to l, which gives l = k + 21.\n3. Substitute k = o + 17 to l, which gives l = o + 38.\n4. Substitute o = y + 12 to l, which gives l = y + 50.\n5. Substitute y = q + 15 to l, which gives l = q + 65.\n6. Substitute q = 11 to l, which gives l = 76.\n\nThus, the final answer is l = \\boxed{76}.",
"index": 17738,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = o + 17; j = z + 7; f = q + 3; z = k + 12; o = y + 12; b = r + 6; l = j + 2; x = w + 4; w = f + 5; q = 11; y = q + 15; i = x + 1; r = i + 13. If q = 11, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 10", "q": "p + 18", "y": "q + 6", "t": "y + 10", "e": "t + 9", "a": "e + 11", "s": "k + 11", "o": "s + 5", "z": "o + 8", "m": "z + 9", "u": "m + 15", "f": "u + 18", "k": 18}, "premises": {"k": 18}, "target": "a"}, "answer": {"steps": [["e", "t + 9", "t + 20"], ["t", "y + 10", "y + 30"], ["y", "q + 6", "q + 36"], ["q", "p + 18", "p + 54"], ["p", "k + 10", "k + 64"], ["k", 18, "82"]], "target_var_name": "a", "target_value": 82, "value_dict": {"k": 18}, "is_reverse": true}} | 17,739 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: k = 18; y = q + 6; u = m + 15; p = k + 10; m = z + 9; o = s + 5; t = y + 10; z = o + 8; e = t + 9; q = p + 18; s = k + 11; f = u + 18; a = e + 11. Given that k = 18, find the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 82,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = t + 9 to a, which gives a = t + 20.\n2. Substitute t = y + 10 to a, which gives a = y + 30.\n3. Substitute y = q + 6 to a, which gives a = q + 36.\n4. Substitute q = p + 18 to a, which gives a = p + 54.\n5. Substitute p = k + 10 to a, which gives a = k + 64.\n6. Substitute k = 18 to a, which gives a = 82.\n\nThus, the final answer is a = \\boxed{82}.",
"index": 17739,
"question": "Suppose a collection of variables is related by the following definitions: k = 18; y = q + 6; u = m + 15; p = k + 10; m = z + 9; o = s + 5; t = y + 10; z = o + 8; e = t + 9; q = p + 18; s = k + 11; f = u + 18; a = e + 11. Given that k = 18, find the value of a.",
"split": "train"
} |
{"problem": {"rules": {"t": "y + 1", "n": "t + 9", "j": "n + 14", "a": "j + 6", "g": "a + 14", "e": "g + 5", "d": "y + 3", "s": "d + 14", "w": "s + 10", "k": "w + 3", "r": "k + 7", "l": "r + 6", "y": 2}, "premises": {"y": 2}, "target": "e"}, "answer": {"steps": [["g", "a + 14", "a + 19"], ["a", "j + 6", "j + 25"], ["j", "n + 14", "n + 39"], ["n", "t + 9", "t + 48"], ["t", "y + 1", "y + 49"], ["y", 2, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"y": 2}, "is_reverse": true}} | 17,740 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = d + 14; n = t + 9; e = g + 5; w = s + 10; t = y + 1; g = a + 14; y = 2; j = n + 14; k = w + 3; a = j + 6; r = k + 7; d = y + 3; l = r + 6. Given that y = 2, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = a + 14 to e, which gives e = a + 19.\n2. Substitute a = j + 6 to e, which gives e = j + 25.\n3. Substitute j = n + 14 to e, which gives e = n + 39.\n4. Substitute n = t + 9 to e, which gives e = t + 48.\n5. Substitute t = y + 1 to e, which gives e = y + 49.\n6. Substitute y = 2 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 17740,
"question": "Suppose a collection of variables is related by the following definitions: s = d + 14; n = t + 9; e = g + 5; w = s + 10; t = y + 1; g = a + 14; y = 2; j = n + 14; k = w + 3; a = j + 6; r = k + 7; d = y + 3; l = r + 6. Given that y = 2, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"m": "w + 6", "o": "m + 18", "z": "o + 14", "c": "z + 3", "b": "c + 12", "y": "b + 8", "i": "w + 18", "l": "i + 1", "x": "l + 6", "v": "x + 11", "u": "v + 6", "s": "u + 9", "w": 4}, "premises": {"w": 4}, "target": "y"}, "answer": {"steps": [["b", "c + 12", "c + 20"], ["c", "z + 3", "z + 23"], ["z", "o + 14", "o + 37"], ["o", "m + 18", "m + 55"], ["m", "w + 6", "w + 61"], ["w", 4, "65"]], "target_var_name": "y", "target_value": 65, "value_dict": {"w": 4}, "is_reverse": true}} | 17,741 | 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 = v + 6; y = b + 8; v = x + 11; b = c + 12; i = w + 18; x = l + 6; w = 4; l = i + 1; m = w + 6; c = z + 3; z = o + 14; o = m + 18; s = u + 9. If w = 4, what is the resulting 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 b = c + 12 to y, which gives y = c + 20.\n2. Substitute c = z + 3 to y, which gives y = z + 23.\n3. Substitute z = o + 14 to y, which gives y = o + 37.\n4. Substitute o = m + 18 to y, which gives y = m + 55.\n5. Substitute m = w + 6 to y, which gives y = w + 61.\n6. Substitute w = 4 to y, which gives y = 65.\n\nThus, the final answer is y = \\boxed{65}.",
"index": 17741,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = v + 6; y = b + 8; v = x + 11; b = c + 12; i = w + 18; x = l + 6; w = 4; l = i + 1; m = w + 6; c = z + 3; z = o + 14; o = m + 18; s = u + 9. If w = 4, what is the resulting value of y?",
"split": "train"
} |
{"problem": {"rules": {"e": "m + 6", "v": "e + 5", "k": "v + 19", "g": "k + 6", "h": "g + 17", "n": "h + 17", "j": "m + 2", "a": "j + 20", "r": "a + 7", "l": "r + 3", "x": "l + 6", "t": "x + 12", "m": 6}, "premises": {"m": 6}, "target": "n"}, "answer": {"steps": [["h", "g + 17", "g + 34"], ["g", "k + 6", "k + 40"], ["k", "v + 19", "v + 59"], ["v", "e + 5", "e + 64"], ["e", "m + 6", "m + 70"], ["m", 6, "76"]], "target_var_name": "n", "target_value": 76, "value_dict": {"m": 6}, "is_reverse": true}} | 17,742 | 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 = m + 2; r = a + 7; k = v + 19; l = r + 3; v = e + 5; e = m + 6; n = h + 17; h = g + 17; m = 6; x = l + 6; g = k + 6; t = x + 12; a = j + 20. If m = 6, what is the resulting 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 h = g + 17 to n, which gives n = g + 34.\n2. Substitute g = k + 6 to n, which gives n = k + 40.\n3. Substitute k = v + 19 to n, which gives n = v + 59.\n4. Substitute v = e + 5 to n, which gives n = e + 64.\n5. Substitute e = m + 6 to n, which gives n = m + 70.\n6. Substitute m = 6 to n, which gives n = 76.\n\nThus, the final answer is n = \\boxed{76}.",
"index": 17742,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = m + 2; r = a + 7; k = v + 19; l = r + 3; v = e + 5; e = m + 6; n = h + 17; h = g + 17; m = 6; x = l + 6; g = k + 6; t = x + 12; a = j + 20. If m = 6, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"h": "l + 19", "z": "h + 8", "p": "z + 5", "k": "p + 3", "b": "k + 2", "j": "b + 4", "u": "l + 13", "w": "u + 17", "q": "w + 14", "m": "q + 13", "n": "m + 16", "d": "n + 6", "l": 11}, "premises": {"l": 11}, "target": "j"}, "answer": {"steps": [["b", "k + 2", "k + 6"], ["k", "p + 3", "p + 9"], ["p", "z + 5", "z + 14"], ["z", "h + 8", "h + 22"], ["h", "l + 19", "l + 41"], ["l", 11, "52"]], "target_var_name": "j", "target_value": 52, "value_dict": {"l": 11}, "is_reverse": true}} | 17,743 | 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 = p + 3; w = u + 17; d = n + 6; z = h + 8; q = w + 14; u = l + 13; l = 11; j = b + 4; n = m + 16; m = q + 13; p = z + 5; b = k + 2; h = l + 19. If l = 11, what is the resulting value of j?",
"role": "user"
}
] | math | {
"ground_truth": 52,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = k + 2 to j, which gives j = k + 6.\n2. Substitute k = p + 3 to j, which gives j = p + 9.\n3. Substitute p = z + 5 to j, which gives j = z + 14.\n4. Substitute z = h + 8 to j, which gives j = h + 22.\n5. Substitute h = l + 19 to j, which gives j = l + 41.\n6. Substitute l = 11 to j, which gives j = 52.\n\nThus, the final answer is j = \\boxed{52}.",
"index": 17743,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: k = p + 3; w = u + 17; d = n + 6; z = h + 8; q = w + 14; u = l + 13; l = 11; j = b + 4; n = m + 16; m = q + 13; p = z + 5; b = k + 2; h = l + 19. If l = 11, what is the resulting value of j?",
"split": "train"
} |
{"problem": {"rules": {"y": "n + 16", "t": "y + 6", "d": "t + 18", "g": "d + 1", "r": "g + 4", "z": "r + 3", "c": "n + 17", "m": "c + 16", "o": "m + 18", "j": "o + 16", "x": "j + 11", "f": "x + 2", "n": 15}, "premises": {"n": 15}, "target": "z"}, "answer": {"steps": [["r", "g + 4", "g + 7"], ["g", "d + 1", "d + 8"], ["d", "t + 18", "t + 26"], ["t", "y + 6", "y + 32"], ["y", "n + 16", "n + 48"], ["n", 15, "63"]], "target_var_name": "z", "target_value": 63, "value_dict": {"n": 15}, "is_reverse": true}} | 17,744 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = n + 17; n = 15; o = m + 18; x = j + 11; z = r + 3; y = n + 16; g = d + 1; j = o + 16; d = t + 18; r = g + 4; m = c + 16; f = x + 2; t = y + 6. Given that n = 15, find the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = g + 4 to z, which gives z = g + 7.\n2. Substitute g = d + 1 to z, which gives z = d + 8.\n3. Substitute d = t + 18 to z, which gives z = t + 26.\n4. Substitute t = y + 6 to z, which gives z = y + 32.\n5. Substitute y = n + 16 to z, which gives z = n + 48.\n6. Substitute n = 15 to z, which gives z = 63.\n\nThus, the final answer is z = \\boxed{63}.",
"index": 17744,
"question": "Suppose a collection of variables is related by the following definitions: c = n + 17; n = 15; o = m + 18; x = j + 11; z = r + 3; y = n + 16; g = d + 1; j = o + 16; d = t + 18; r = g + 4; m = c + 16; f = x + 2; t = y + 6. Given that n = 15, find the value of z.",
"split": "train"
} |
{"problem": {"rules": {"f": "x + 5", "r": "f + 10", "i": "r + 10", "s": "i + 11", "t": "s + 5", "b": "t + 8", "u": "x + 15", "h": "u + 2", "j": "h + 15", "o": "j + 5", "k": "o + 4", "z": "k + 14", "x": 14}, "premises": {"x": 14}, "target": "b"}, "answer": {"steps": [["t", "s + 5", "s + 13"], ["s", "i + 11", "i + 24"], ["i", "r + 10", "r + 34"], ["r", "f + 10", "f + 44"], ["f", "x + 5", "x + 49"], ["x", 14, "63"]], "target_var_name": "b", "target_value": 63, "value_dict": {"x": 14}, "is_reverse": true}} | 17,745 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = x + 15; j = h + 15; r = f + 10; x = 14; b = t + 8; k = o + 4; o = j + 5; i = r + 10; f = x + 5; t = s + 5; z = k + 14; s = i + 11; h = u + 2. Given that x = 14, find the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 63,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = s + 5 to b, which gives b = s + 13.\n2. Substitute s = i + 11 to b, which gives b = i + 24.\n3. Substitute i = r + 10 to b, which gives b = r + 34.\n4. Substitute r = f + 10 to b, which gives b = f + 44.\n5. Substitute f = x + 5 to b, which gives b = x + 49.\n6. Substitute x = 14 to b, which gives b = 63.\n\nThus, the final answer is b = \\boxed{63}.",
"index": 17745,
"question": "Suppose a collection of variables is related by the following definitions: u = x + 15; j = h + 15; r = f + 10; x = 14; b = t + 8; k = o + 4; o = j + 5; i = r + 10; f = x + 5; t = s + 5; z = k + 14; s = i + 11; h = u + 2. Given that x = 14, find the value of b.",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 3", "u": "l + 6", "d": "u + 17", "x": "d + 3", "j": "x + 1", "e": "j + 14", "a": "m + 7", "q": "a + 8", "r": "q + 13", "b": "r + 8", "s": "b + 10", "g": "s + 17", "m": 7}, "premises": {"m": 7}, "target": "e"}, "answer": {"steps": [["j", "x + 1", "x + 15"], ["x", "d + 3", "d + 18"], ["d", "u + 17", "u + 35"], ["u", "l + 6", "l + 41"], ["l", "m + 3", "m + 44"], ["m", 7, "51"]], "target_var_name": "e", "target_value": 51, "value_dict": {"m": 7}, "is_reverse": true}} | 17,746 | 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 + 7; m = 7; u = l + 6; b = r + 8; l = m + 3; j = x + 1; x = d + 3; d = u + 17; r = q + 13; s = b + 10; g = s + 17; q = a + 8; e = j + 14. If m = 7, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 1 to e, which gives e = x + 15.\n2. Substitute x = d + 3 to e, which gives e = d + 18.\n3. Substitute d = u + 17 to e, which gives e = u + 35.\n4. Substitute u = l + 6 to e, which gives e = l + 41.\n5. Substitute l = m + 3 to e, which gives e = m + 44.\n6. Substitute m = 7 to e, which gives e = 51.\n\nThus, the final answer is e = \\boxed{51}.",
"index": 17746,
"question": "Consider a system of variables where each variable is defined as follows: a = m + 7; m = 7; u = l + 6; b = r + 8; l = m + 3; j = x + 1; x = d + 3; d = u + 17; r = q + 13; s = b + 10; g = s + 17; q = a + 8; e = j + 14. If m = 7, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"h": "b + 12", "a": "h + 15", "e": "a + 3", "g": "e + 3", "n": "g + 7", "f": "n + 15", "j": "b + 5", "i": "j + 19", "d": "i + 6", "x": "d + 14", "u": "x + 19", "v": "u + 5", "b": 18}, "premises": {"b": 18}, "target": "f"}, "answer": {"steps": [["n", "g + 7", "g + 22"], ["g", "e + 3", "e + 25"], ["e", "a + 3", "a + 28"], ["a", "h + 15", "h + 43"], ["h", "b + 12", "b + 55"], ["b", 18, "73"]], "target_var_name": "f", "target_value": 73, "value_dict": {"b": 18}, "is_reverse": true}} | 17,747 | 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 = n + 15; x = d + 14; i = j + 19; e = a + 3; d = i + 6; a = h + 15; n = g + 7; h = b + 12; v = u + 5; b = 18; g = e + 3; j = b + 5; u = x + 19. If b = 18, what is the resulting value of f?",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 7 to f, which gives f = g + 22.\n2. Substitute g = e + 3 to f, which gives f = e + 25.\n3. Substitute e = a + 3 to f, which gives f = a + 28.\n4. Substitute a = h + 15 to f, which gives f = h + 43.\n5. Substitute h = b + 12 to f, which gives f = b + 55.\n6. Substitute b = 18 to f, which gives f = 73.\n\nThus, the final answer is f = \\boxed{73}.",
"index": 17747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = n + 15; x = d + 14; i = j + 19; e = a + 3; d = i + 6; a = h + 15; n = g + 7; h = b + 12; v = u + 5; b = 18; g = e + 3; j = b + 5; u = x + 19. If b = 18, what is the resulting value of f?",
"split": "train"
} |
{"problem": {"rules": {"y": "d + 17", "j": "y + 4", "z": "j + 4", "b": "z + 6", "n": "b + 17", "o": "n + 12", "t": "d + 7", "h": "t + 4", "p": "h + 8", "l": "p + 14", "x": "l + 8", "w": "x + 14", "d": 4}, "premises": {"d": 4}, "target": "o"}, "answer": {"steps": [["n", "b + 17", "b + 29"], ["b", "z + 6", "z + 35"], ["z", "j + 4", "j + 39"], ["j", "y + 4", "y + 43"], ["y", "d + 17", "d + 60"], ["d", 4, "64"]], "target_var_name": "o", "target_value": 64, "value_dict": {"d": 4}, "is_reverse": true}} | 17,748 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 4; y = d + 17; j = y + 4; h = t + 4; l = p + 14; o = n + 12; b = z + 6; n = b + 17; w = x + 14; t = d + 7; x = l + 8; z = j + 4; p = h + 8. If d = 4, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = b + 17 to o, which gives o = b + 29.\n2. Substitute b = z + 6 to o, which gives o = z + 35.\n3. Substitute z = j + 4 to o, which gives o = j + 39.\n4. Substitute j = y + 4 to o, which gives o = y + 43.\n5. Substitute y = d + 17 to o, which gives o = d + 60.\n6. Substitute d = 4 to o, which gives o = 64.\n\nThus, the final answer is o = \\boxed{64}.",
"index": 17748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 4; y = d + 17; j = y + 4; h = t + 4; l = p + 14; o = n + 12; b = z + 6; n = b + 17; w = x + 14; t = d + 7; x = l + 8; z = j + 4; p = h + 8. If d = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"l": "m + 10", "w": "l + 20", "y": "w + 9", "v": "y + 6", "t": "v + 10", "r": "t + 7", "n": "m + 4", "d": "n + 20", "s": "d + 1", "x": "s + 3", "i": "x + 17", "g": "i + 12", "m": 9}, "premises": {"m": 9}, "target": "r"}, "answer": {"steps": [["t", "v + 10", "v + 17"], ["v", "y + 6", "y + 23"], ["y", "w + 9", "w + 32"], ["w", "l + 20", "l + 52"], ["l", "m + 10", "m + 62"], ["m", 9, "71"]], "target_var_name": "r", "target_value": 71, "value_dict": {"m": 9}, "is_reverse": true}} | 17,749 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: y = w + 9; l = m + 10; x = s + 3; r = t + 7; i = x + 17; w = l + 20; t = v + 10; s = d + 1; m = 9; d = n + 20; g = i + 12; n = m + 4; v = y + 6. Given that m = 9, find the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 71,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = v + 10 to r, which gives r = v + 17.\n2. Substitute v = y + 6 to r, which gives r = y + 23.\n3. Substitute y = w + 9 to r, which gives r = w + 32.\n4. Substitute w = l + 20 to r, which gives r = l + 52.\n5. Substitute l = m + 10 to r, which gives r = m + 62.\n6. Substitute m = 9 to r, which gives r = 71.\n\nThus, the final answer is r = \\boxed{71}.",
"index": 17749,
"question": "Suppose a collection of variables is related by the following definitions: y = w + 9; l = m + 10; x = s + 3; r = t + 7; i = x + 17; w = l + 20; t = v + 10; s = d + 1; m = 9; d = n + 20; g = i + 12; n = m + 4; v = y + 6. Given that m = 9, find the value of r.",
"split": "train"
} |
{"problem": {"rules": {"u": "x + 13", "k": "u + 2", "q": "k + 20", "i": "q + 10", "m": "i + 2", "o": "m + 17", "s": "x + 18", "n": "s + 5", "c": "n + 19", "e": "c + 16", "v": "e + 7", "g": "v + 8", "x": 10}, "premises": {"x": 10}, "target": "o"}, "answer": {"steps": [["m", "i + 2", "i + 19"], ["i", "q + 10", "q + 29"], ["q", "k + 20", "k + 49"], ["k", "u + 2", "u + 51"], ["u", "x + 13", "x + 64"], ["x", 10, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"x": 10}, "is_reverse": true}} | 17,750 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: s = x + 18; q = k + 20; v = e + 7; g = v + 8; c = n + 19; o = m + 17; x = 10; e = c + 16; m = i + 2; i = q + 10; k = u + 2; n = s + 5; u = x + 13. Given that x = 10, find the value of o.",
"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 + 2 to o, which gives o = i + 19.\n2. Substitute i = q + 10 to o, which gives o = q + 29.\n3. Substitute q = k + 20 to o, which gives o = k + 49.\n4. Substitute k = u + 2 to o, which gives o = u + 51.\n5. Substitute u = x + 13 to o, which gives o = x + 64.\n6. Substitute x = 10 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 17750,
"question": "Suppose a collection of variables is related by the following definitions: s = x + 18; q = k + 20; v = e + 7; g = v + 8; c = n + 19; o = m + 17; x = 10; e = c + 16; m = i + 2; i = q + 10; k = u + 2; n = s + 5; u = x + 13. Given that x = 10, find the value of o.",
"split": "train"
} |
{"problem": {"rules": {"y": "o + 11", "f": "y + 8", "r": "f + 15", "m": "r + 12", "x": "m + 4", "a": "x + 10", "i": "o + 17", "v": "i + 20", "l": "v + 19", "h": "l + 12", "p": "h + 17", "g": "p + 15", "o": 12}, "premises": {"o": 12}, "target": "a"}, "answer": {"steps": [["x", "m + 4", "m + 14"], ["m", "r + 12", "r + 26"], ["r", "f + 15", "f + 41"], ["f", "y + 8", "y + 49"], ["y", "o + 11", "o + 60"], ["o", 12, "72"]], "target_var_name": "a", "target_value": 72, "value_dict": {"o": 12}, "is_reverse": true}} | 17,751 | 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 = o + 17; p = h + 17; l = v + 19; x = m + 4; g = p + 15; h = l + 12; r = f + 15; v = i + 20; y = o + 11; a = x + 10; m = r + 12; f = y + 8; o = 12. If o = 12, what is the resulting value of a?",
"role": "user"
}
] | math | {
"ground_truth": 72,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = m + 4 to a, which gives a = m + 14.\n2. Substitute m = r + 12 to a, which gives a = r + 26.\n3. Substitute r = f + 15 to a, which gives a = f + 41.\n4. Substitute f = y + 8 to a, which gives a = y + 49.\n5. Substitute y = o + 11 to a, which gives a = o + 60.\n6. Substitute o = 12 to a, which gives a = 72.\n\nThus, the final answer is a = \\boxed{72}.",
"index": 17751,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = o + 17; p = h + 17; l = v + 19; x = m + 4; g = p + 15; h = l + 12; r = f + 15; v = i + 20; y = o + 11; a = x + 10; m = r + 12; f = y + 8; o = 12. If o = 12, what is the resulting value of a?",
"split": "train"
} |
{"problem": {"rules": {"a": "j + 11", "w": "a + 4", "b": "w + 17", "t": "b + 2", "u": "t + 15", "y": "u + 14", "p": "j + 17", "s": "p + 3", "z": "s + 7", "g": "z + 6", "i": "g + 4", "x": "i + 18", "j": 7}, "premises": {"j": 7}, "target": "y"}, "answer": {"steps": [["u", "t + 15", "t + 29"], ["t", "b + 2", "b + 31"], ["b", "w + 17", "w + 48"], ["w", "a + 4", "a + 52"], ["a", "j + 11", "j + 63"], ["j", 7, "70"]], "target_var_name": "y", "target_value": 70, "value_dict": {"j": 7}, "is_reverse": true}} | 17,752 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: b = w + 17; s = p + 3; w = a + 4; p = j + 17; t = b + 2; z = s + 7; g = z + 6; i = g + 4; u = t + 15; x = i + 18; a = j + 11; j = 7; y = u + 14. If j = 7, determine the value of y.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = t + 15 to y, which gives y = t + 29.\n2. Substitute t = b + 2 to y, which gives y = b + 31.\n3. Substitute b = w + 17 to y, which gives y = w + 48.\n4. Substitute w = a + 4 to y, which gives y = a + 52.\n5. Substitute a = j + 11 to y, which gives y = j + 63.\n6. Substitute j = 7 to y, which gives y = 70.\n\nThus, the final answer is y = \\boxed{70}.",
"index": 17752,
"question": "Consider a system of variables where each variable is defined as follows: b = w + 17; s = p + 3; w = a + 4; p = j + 17; t = b + 2; z = s + 7; g = z + 6; i = g + 4; u = t + 15; x = i + 18; a = j + 11; j = 7; y = u + 14. If j = 7, determine the value of y.",
"split": "train"
} |
{"problem": {"rules": {"y": "u + 18", "t": "y + 15", "j": "t + 19", "f": "j + 5", "c": "f + 20", "v": "c + 1", "i": "u + 8", "l": "i + 12", "s": "l + 15", "a": "s + 18", "e": "a + 5", "h": "e + 20", "u": 5}, "premises": {"u": 5}, "target": "v"}, "answer": {"steps": [["c", "f + 20", "f + 21"], ["f", "j + 5", "j + 26"], ["j", "t + 19", "t + 45"], ["t", "y + 15", "y + 60"], ["y", "u + 18", "u + 78"], ["u", 5, "83"]], "target_var_name": "v", "target_value": 83, "value_dict": {"u": 5}, "is_reverse": true}} | 17,753 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = u + 8; t = y + 15; f = j + 5; y = u + 18; c = f + 20; h = e + 20; a = s + 18; e = a + 5; s = l + 15; u = 5; j = t + 19; l = i + 12; v = c + 1. If u = 5, determine the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 83,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = f + 20 to v, which gives v = f + 21.\n2. Substitute f = j + 5 to v, which gives v = j + 26.\n3. Substitute j = t + 19 to v, which gives v = t + 45.\n4. Substitute t = y + 15 to v, which gives v = y + 60.\n5. Substitute y = u + 18 to v, which gives v = u + 78.\n6. Substitute u = 5 to v, which gives v = 83.\n\nThus, the final answer is v = \\boxed{83}.",
"index": 17753,
"question": "Consider a system of variables where each variable is defined as follows: i = u + 8; t = y + 15; f = j + 5; y = u + 18; c = f + 20; h = e + 20; a = s + 18; e = a + 5; s = l + 15; u = 5; j = t + 19; l = i + 12; v = c + 1. If u = 5, determine the value of v.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 18", "w": "v + 2", "b": "w + 17", "j": "b + 4", "d": "j + 11", "e": "d + 7", "n": "f + 10", "h": "n + 5", "p": "h + 6", "s": "p + 13", "m": "s + 1", "x": "m + 1", "f": 18}, "premises": {"f": 18}, "target": "e"}, "answer": {"steps": [["d", "j + 11", "j + 18"], ["j", "b + 4", "b + 22"], ["b", "w + 17", "w + 39"], ["w", "v + 2", "v + 41"], ["v", "f + 18", "f + 59"], ["f", 18, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"f": 18}, "is_reverse": true}} | 17,754 | 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 = s + 1; j = b + 4; e = d + 7; p = h + 6; s = p + 13; h = n + 5; b = w + 17; f = 18; v = f + 18; n = f + 10; x = m + 1; w = v + 2; d = j + 11. If f = 18, what is the resulting value of e?",
"role": "user"
}
] | math | {
"ground_truth": 77,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 11 to e, which gives e = j + 18.\n2. Substitute j = b + 4 to e, which gives e = b + 22.\n3. Substitute b = w + 17 to e, which gives e = w + 39.\n4. Substitute w = v + 2 to e, which gives e = v + 41.\n5. Substitute v = f + 18 to e, which gives e = f + 59.\n6. Substitute f = 18 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 17754,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = s + 1; j = b + 4; e = d + 7; p = h + 6; s = p + 13; h = n + 5; b = w + 17; f = 18; v = f + 18; n = f + 10; x = m + 1; w = v + 2; d = j + 11. If f = 18, what is the resulting value of e?",
"split": "train"
} |
{"problem": {"rules": {"k": "j + 10", "x": "k + 16", "f": "x + 11", "h": "f + 4", "d": "h + 14", "u": "d + 14", "t": "j + 7", "z": "t + 6", "p": "z + 12", "c": "p + 6", "n": "c + 15", "e": "n + 16", "j": 4}, "premises": {"j": 4}, "target": "u"}, "answer": {"steps": [["d", "h + 14", "h + 28"], ["h", "f + 4", "f + 32"], ["f", "x + 11", "x + 43"], ["x", "k + 16", "k + 59"], ["k", "j + 10", "j + 69"], ["j", 4, "73"]], "target_var_name": "u", "target_value": 73, "value_dict": {"j": 4}, "is_reverse": true}} | 17,755 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: x = k + 16; k = j + 10; u = d + 14; z = t + 6; h = f + 4; f = x + 11; p = z + 12; j = 4; t = j + 7; n = c + 15; c = p + 6; e = n + 16; d = h + 14. Given that j = 4, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 73,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = h + 14 to u, which gives u = h + 28.\n2. Substitute h = f + 4 to u, which gives u = f + 32.\n3. Substitute f = x + 11 to u, which gives u = x + 43.\n4. Substitute x = k + 16 to u, which gives u = k + 59.\n5. Substitute k = j + 10 to u, which gives u = j + 69.\n6. Substitute j = 4 to u, which gives u = 73.\n\nThus, the final answer is u = \\boxed{73}.",
"index": 17755,
"question": "Suppose a collection of variables is related by the following definitions: x = k + 16; k = j + 10; u = d + 14; z = t + 6; h = f + 4; f = x + 11; p = z + 12; j = 4; t = j + 7; n = c + 15; c = p + 6; e = n + 16; d = h + 14. Given that j = 4, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"k": "f + 11", "c": "k + 8", "n": "c + 9", "q": "n + 10", "i": "q + 12", "d": "i + 6", "h": "f + 9", "s": "h + 3", "t": "s + 1", "e": "t + 10", "r": "e + 20", "y": "r + 18", "f": 6}, "premises": {"f": 6}, "target": "d"}, "answer": {"steps": [["i", "q + 12", "q + 18"], ["q", "n + 10", "n + 28"], ["n", "c + 9", "c + 37"], ["c", "k + 8", "k + 45"], ["k", "f + 11", "f + 56"], ["f", 6, "62"]], "target_var_name": "d", "target_value": 62, "value_dict": {"f": 6}, "is_reverse": true}} | 17,756 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: y = r + 18; r = e + 20; c = k + 8; n = c + 9; k = f + 11; i = q + 12; d = i + 6; s = h + 3; h = f + 9; f = 6; e = t + 10; q = n + 10; t = s + 1. If f = 6, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = q + 12 to d, which gives d = q + 18.\n2. Substitute q = n + 10 to d, which gives d = n + 28.\n3. Substitute n = c + 9 to d, which gives d = c + 37.\n4. Substitute c = k + 8 to d, which gives d = k + 45.\n5. Substitute k = f + 11 to d, which gives d = f + 56.\n6. Substitute f = 6 to d, which gives d = 62.\n\nThus, the final answer is d = \\boxed{62}.",
"index": 17756,
"question": "Consider a system of variables where each variable is defined as follows: y = r + 18; r = e + 20; c = k + 8; n = c + 9; k = f + 11; i = q + 12; d = i + 6; s = h + 3; h = f + 9; f = 6; e = t + 10; q = n + 10; t = s + 1. If f = 6, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"b": "z + 11", "q": "b + 2", "f": "q + 12", "u": "f + 18", "x": "u + 7", "c": "x + 10", "p": "z + 4", "j": "p + 7", "i": "j + 14", "l": "i + 4", "e": "l + 20", "n": "e + 12", "z": 15}, "premises": {"z": 15}, "target": "c"}, "answer": {"steps": [["x", "u + 7", "u + 17"], ["u", "f + 18", "f + 35"], ["f", "q + 12", "q + 47"], ["q", "b + 2", "b + 49"], ["b", "z + 11", "z + 60"], ["z", 15, "75"]], "target_var_name": "c", "target_value": 75, "value_dict": {"z": 15}, "is_reverse": true}} | 17,757 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 10; q = b + 2; e = l + 20; l = i + 4; f = q + 12; u = f + 18; x = u + 7; n = e + 12; z = 15; p = z + 4; b = z + 11; j = p + 7; i = j + 14. If z = 15, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = u + 7 to c, which gives c = u + 17.\n2. Substitute u = f + 18 to c, which gives c = f + 35.\n3. Substitute f = q + 12 to c, which gives c = q + 47.\n4. Substitute q = b + 2 to c, which gives c = b + 49.\n5. Substitute b = z + 11 to c, which gives c = z + 60.\n6. Substitute z = 15 to c, which gives c = 75.\n\nThus, the final answer is c = \\boxed{75}.",
"index": 17757,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = x + 10; q = b + 2; e = l + 20; l = i + 4; f = q + 12; u = f + 18; x = u + 7; n = e + 12; z = 15; p = z + 4; b = z + 11; j = p + 7; i = j + 14. If z = 15, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"d": "y + 17", "l": "d + 7", "g": "l + 15", "h": "g + 5", "w": "h + 5", "e": "w + 15", "n": "y + 14", "k": "n + 7", "u": "k + 1", "c": "u + 8", "q": "c + 5", "o": "q + 19", "y": 16}, "premises": {"y": 16}, "target": "e"}, "answer": {"steps": [["w", "h + 5", "h + 20"], ["h", "g + 5", "g + 25"], ["g", "l + 15", "l + 40"], ["l", "d + 7", "d + 47"], ["d", "y + 17", "y + 64"], ["y", 16, "80"]], "target_var_name": "e", "target_value": 80, "value_dict": {"y": 16}, "is_reverse": true}} | 17,758 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = y + 14; u = k + 1; y = 16; w = h + 5; k = n + 7; h = g + 5; e = w + 15; d = y + 17; l = d + 7; c = u + 8; g = l + 15; o = q + 19; q = c + 5. Given that y = 16, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 80,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = h + 5 to e, which gives e = h + 20.\n2. Substitute h = g + 5 to e, which gives e = g + 25.\n3. Substitute g = l + 15 to e, which gives e = l + 40.\n4. Substitute l = d + 7 to e, which gives e = d + 47.\n5. Substitute d = y + 17 to e, which gives e = y + 64.\n6. Substitute y = 16 to e, which gives e = 80.\n\nThus, the final answer is e = \\boxed{80}.",
"index": 17758,
"question": "Suppose a collection of variables is related by the following definitions: n = y + 14; u = k + 1; y = 16; w = h + 5; k = n + 7; h = g + 5; e = w + 15; d = y + 17; l = d + 7; c = u + 8; g = l + 15; o = q + 19; q = c + 5. Given that y = 16, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "i + 13", "c": "b + 8", "p": "c + 2", "k": "p + 8", "m": "k + 2", "d": "m + 8", "o": "i + 3", "w": "o + 19", "q": "w + 12", "j": "q + 12", "l": "j + 13", "a": "l + 6", "i": 10}, "premises": {"i": 10}, "target": "d"}, "answer": {"steps": [["m", "k + 2", "k + 10"], ["k", "p + 8", "p + 18"], ["p", "c + 2", "c + 20"], ["c", "b + 8", "b + 28"], ["b", "i + 13", "i + 41"], ["i", 10, "51"]], "target_var_name": "d", "target_value": 51, "value_dict": {"i": 10}, "is_reverse": true}} | 17,759 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 2; p = c + 2; q = w + 12; w = o + 19; i = 10; o = i + 3; k = p + 8; l = j + 13; j = q + 12; a = l + 6; c = b + 8; d = m + 8; b = i + 13. If i = 10, what is the resulting value of d?",
"role": "user"
}
] | math | {
"ground_truth": 51,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = k + 2 to d, which gives d = k + 10.\n2. Substitute k = p + 8 to d, which gives d = p + 18.\n3. Substitute p = c + 2 to d, which gives d = c + 20.\n4. Substitute c = b + 8 to d, which gives d = b + 28.\n5. Substitute b = i + 13 to d, which gives d = i + 41.\n6. Substitute i = 10 to d, which gives d = 51.\n\nThus, the final answer is d = \\boxed{51}.",
"index": 17759,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = k + 2; p = c + 2; q = w + 12; w = o + 19; i = 10; o = i + 3; k = p + 8; l = j + 13; j = q + 12; a = l + 6; c = b + 8; d = m + 8; b = i + 13. If i = 10, what is the resulting value of d?",
"split": "train"
} |
{"problem": {"rules": {"x": "o + 11", "j": "x + 14", "a": "j + 10", "i": "a + 9", "g": "i + 2", "n": "g + 2", "b": "o + 17", "c": "b + 20", "w": "c + 8", "y": "w + 2", "d": "y + 2", "f": "d + 3", "o": 11}, "premises": {"o": 11}, "target": "n"}, "answer": {"steps": [["g", "i + 2", "i + 4"], ["i", "a + 9", "a + 13"], ["a", "j + 10", "j + 23"], ["j", "x + 14", "x + 37"], ["x", "o + 11", "o + 48"], ["o", 11, "59"]], "target_var_name": "n", "target_value": 59, "value_dict": {"o": 11}, "is_reverse": true}} | 17,760 | 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 = o + 17; w = c + 8; i = a + 9; g = i + 2; x = o + 11; o = 11; f = d + 3; a = j + 10; n = g + 2; j = x + 14; y = w + 2; d = y + 2; c = b + 20. If o = 11, what is the resulting value of n?",
"role": "user"
}
] | math | {
"ground_truth": 59,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 2 to n, which gives n = i + 4.\n2. Substitute i = a + 9 to n, which gives n = a + 13.\n3. Substitute a = j + 10 to n, which gives n = j + 23.\n4. Substitute j = x + 14 to n, which gives n = x + 37.\n5. Substitute x = o + 11 to n, which gives n = o + 48.\n6. Substitute o = 11 to n, which gives n = 59.\n\nThus, the final answer is n = \\boxed{59}.",
"index": 17760,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = o + 17; w = c + 8; i = a + 9; g = i + 2; x = o + 11; o = 11; f = d + 3; a = j + 10; n = g + 2; j = x + 14; y = w + 2; d = y + 2; c = b + 20. If o = 11, what is the resulting value of n?",
"split": "train"
} |
{"problem": {"rules": {"t": "d + 1", "s": "t + 6", "p": "s + 17", "c": "p + 13", "b": "c + 1", "f": "b + 1", "j": "d + 20", "i": "j + 13", "l": "i + 10", "m": "l + 19", "h": "m + 6", "r": "h + 5", "d": 10}, "premises": {"d": 10}, "target": "f"}, "answer": {"steps": [["b", "c + 1", "c + 2"], ["c", "p + 13", "p + 15"], ["p", "s + 17", "s + 32"], ["s", "t + 6", "t + 38"], ["t", "d + 1", "d + 39"], ["d", 10, "49"]], "target_var_name": "f", "target_value": 49, "value_dict": {"d": 10}, "is_reverse": true}} | 17,761 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: d = 10; r = h + 5; h = m + 6; b = c + 1; p = s + 17; j = d + 20; t = d + 1; s = t + 6; f = b + 1; m = l + 19; i = j + 13; c = p + 13; l = i + 10. Given that d = 10, find the value of f.",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = c + 1 to f, which gives f = c + 2.\n2. Substitute c = p + 13 to f, which gives f = p + 15.\n3. Substitute p = s + 17 to f, which gives f = s + 32.\n4. Substitute s = t + 6 to f, which gives f = t + 38.\n5. Substitute t = d + 1 to f, which gives f = d + 39.\n6. Substitute d = 10 to f, which gives f = 49.\n\nThus, the final answer is f = \\boxed{49}.",
"index": 17761,
"question": "Suppose a collection of variables is related by the following definitions: d = 10; r = h + 5; h = m + 6; b = c + 1; p = s + 17; j = d + 20; t = d + 1; s = t + 6; f = b + 1; m = l + 19; i = j + 13; c = p + 13; l = i + 10. Given that d = 10, find the value of f.",
"split": "train"
} |
{"problem": {"rules": {"b": "e + 6", "c": "b + 19", "r": "c + 10", "q": "r + 6", "g": "q + 19", "a": "g + 7", "z": "e + 15", "k": "z + 20", "h": "k + 9", "p": "h + 15", "f": "p + 20", "n": "f + 9", "e": 20}, "premises": {"e": 20}, "target": "a"}, "answer": {"steps": [["g", "q + 19", "q + 26"], ["q", "r + 6", "r + 32"], ["r", "c + 10", "c + 42"], ["c", "b + 19", "b + 61"], ["b", "e + 6", "e + 67"], ["e", 20, "87"]], "target_var_name": "a", "target_value": 87, "value_dict": {"e": 20}, "is_reverse": true}} | 17,762 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: a = g + 7; g = q + 19; c = b + 19; h = k + 9; b = e + 6; z = e + 15; p = h + 15; f = p + 20; k = z + 20; q = r + 6; r = c + 10; e = 20; n = f + 9. If e = 20, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = q + 19 to a, which gives a = q + 26.\n2. Substitute q = r + 6 to a, which gives a = r + 32.\n3. Substitute r = c + 10 to a, which gives a = c + 42.\n4. Substitute c = b + 19 to a, which gives a = b + 61.\n5. Substitute b = e + 6 to a, which gives a = e + 67.\n6. Substitute e = 20 to a, which gives a = 87.\n\nThus, the final answer is a = \\boxed{87}.",
"index": 17762,
"question": "Consider a system of variables where each variable is defined as follows: a = g + 7; g = q + 19; c = b + 19; h = k + 9; b = e + 6; z = e + 15; p = h + 15; f = p + 20; k = z + 20; q = r + 6; r = c + 10; e = 20; n = f + 9. If e = 20, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"a": "m + 7", "t": "a + 5", "y": "t + 8", "c": "y + 20", "x": "c + 15", "o": "x + 17", "r": "m + 6", "s": "r + 3", "u": "s + 14", "w": "u + 19", "f": "w + 14", "g": "f + 5", "m": 4}, "premises": {"m": 4}, "target": "o"}, "answer": {"steps": [["x", "c + 15", "c + 32"], ["c", "y + 20", "y + 52"], ["y", "t + 8", "t + 60"], ["t", "a + 5", "a + 65"], ["a", "m + 7", "m + 72"], ["m", 4, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"m": 4}, "is_reverse": true}} | 17,763 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 20; u = s + 14; a = m + 7; m = 4; o = x + 17; t = a + 5; r = m + 6; s = r + 3; w = u + 19; y = t + 8; g = f + 5; x = c + 15; f = w + 14. If m = 4, what is the resulting value of o?",
"role": "user"
}
] | math | {
"ground_truth": 76,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = c + 15 to o, which gives o = c + 32.\n2. Substitute c = y + 20 to o, which gives o = y + 52.\n3. Substitute y = t + 8 to o, which gives o = t + 60.\n4. Substitute t = a + 5 to o, which gives o = a + 65.\n5. Substitute a = m + 7 to o, which gives o = m + 72.\n6. Substitute m = 4 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 17763,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = y + 20; u = s + 14; a = m + 7; m = 4; o = x + 17; t = a + 5; r = m + 6; s = r + 3; w = u + 19; y = t + 8; g = f + 5; x = c + 15; f = w + 14. If m = 4, what is the resulting value of o?",
"split": "train"
} |
{"problem": {"rules": {"m": "z + 14", "v": "m + 11", "s": "v + 19", "x": "s + 9", "k": "x + 13", "r": "k + 16", "l": "z + 5", "p": "l + 19", "j": "p + 5", "h": "j + 6", "n": "h + 16", "t": "n + 20", "z": 15}, "premises": {"z": 15}, "target": "r"}, "answer": {"steps": [["k", "x + 13", "x + 29"], ["x", "s + 9", "s + 38"], ["s", "v + 19", "v + 57"], ["v", "m + 11", "m + 68"], ["m", "z + 14", "z + 82"], ["z", 15, "97"]], "target_var_name": "r", "target_value": 97, "value_dict": {"z": 15}, "is_reverse": true}} | 17,764 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: r = k + 16; n = h + 16; l = z + 5; s = v + 19; j = p + 5; v = m + 11; h = j + 6; m = z + 14; x = s + 9; p = l + 19; k = x + 13; z = 15; t = n + 20. If z = 15, determine the value of r.",
"role": "user"
}
] | math | {
"ground_truth": 97,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = x + 13 to r, which gives r = x + 29.\n2. Substitute x = s + 9 to r, which gives r = s + 38.\n3. Substitute s = v + 19 to r, which gives r = v + 57.\n4. Substitute v = m + 11 to r, which gives r = m + 68.\n5. Substitute m = z + 14 to r, which gives r = z + 82.\n6. Substitute z = 15 to r, which gives r = 97.\n\nThus, the final answer is r = \\boxed{97}.",
"index": 17764,
"question": "Consider a system of variables where each variable is defined as follows: r = k + 16; n = h + 16; l = z + 5; s = v + 19; j = p + 5; v = m + 11; h = j + 6; m = z + 14; x = s + 9; p = l + 19; k = x + 13; z = 15; t = n + 20. If z = 15, determine the value of r.",
"split": "train"
} |
{"problem": {"rules": {"d": "s + 14", "k": "d + 14", "l": "k + 8", "o": "l + 16", "f": "o + 7", "n": "f + 13", "g": "s + 4", "p": "g + 16", "j": "p + 14", "w": "j + 11", "x": "w + 15", "h": "x + 16", "s": 7}, "premises": {"s": 7}, "target": "n"}, "answer": {"steps": [["f", "o + 7", "o + 20"], ["o", "l + 16", "l + 36"], ["l", "k + 8", "k + 44"], ["k", "d + 14", "d + 58"], ["d", "s + 14", "s + 72"], ["s", 7, "79"]], "target_var_name": "n", "target_value": 79, "value_dict": {"s": 7}, "is_reverse": true}} | 17,765 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = w + 15; n = f + 13; k = d + 14; d = s + 14; h = x + 16; j = p + 14; w = j + 11; p = g + 16; o = l + 16; g = s + 4; s = 7; f = o + 7; l = k + 8. If s = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = o + 7 to n, which gives n = o + 20.\n2. Substitute o = l + 16 to n, which gives n = l + 36.\n3. Substitute l = k + 8 to n, which gives n = k + 44.\n4. Substitute k = d + 14 to n, which gives n = d + 58.\n5. Substitute d = s + 14 to n, which gives n = s + 72.\n6. Substitute s = 7 to n, which gives n = 79.\n\nThus, the final answer is n = \\boxed{79}.",
"index": 17765,
"question": "Consider a system of variables where each variable is defined as follows: x = w + 15; n = f + 13; k = d + 14; d = s + 14; h = x + 16; j = p + 14; w = j + 11; p = g + 16; o = l + 16; g = s + 4; s = 7; f = o + 7; l = k + 8. If s = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"v": "j + 14", "w": "v + 9", "s": "w + 1", "z": "s + 8", "u": "z + 12", "p": "u + 8", "y": "j + 10", "q": "y + 19", "g": "q + 19", "n": "g + 3", "r": "n + 2", "c": "r + 2", "j": 13}, "premises": {"j": 13}, "target": "p"}, "answer": {"steps": [["u", "z + 12", "z + 20"], ["z", "s + 8", "s + 28"], ["s", "w + 1", "w + 29"], ["w", "v + 9", "v + 38"], ["v", "j + 14", "j + 52"], ["j", 13, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"j": 13}, "is_reverse": true}} | 17,766 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 3; w = v + 9; j = 13; z = s + 8; s = w + 1; y = j + 10; v = j + 14; p = u + 8; q = y + 19; u = z + 12; r = n + 2; c = r + 2; g = q + 19. If j = 13, what is the resulting 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 u = z + 12 to p, which gives p = z + 20.\n2. Substitute z = s + 8 to p, which gives p = s + 28.\n3. Substitute s = w + 1 to p, which gives p = w + 29.\n4. Substitute w = v + 9 to p, which gives p = v + 38.\n5. Substitute v = j + 14 to p, which gives p = j + 52.\n6. Substitute j = 13 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 17766,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 3; w = v + 9; j = 13; z = s + 8; s = w + 1; y = j + 10; v = j + 14; p = u + 8; q = y + 19; u = z + 12; r = n + 2; c = r + 2; g = q + 19. If j = 13, what is the resulting value of p?",
"split": "train"
} |
{"problem": {"rules": {"e": "s + 3", "n": "e + 12", "f": "n + 5", "p": "f + 1", "k": "p + 20", "u": "k + 14", "i": "s + 6", "g": "i + 6", "m": "g + 7", "c": "m + 3", "a": "c + 2", "z": "a + 7", "s": 7}, "premises": {"s": 7}, "target": "u"}, "answer": {"steps": [["k", "p + 20", "p + 34"], ["p", "f + 1", "f + 35"], ["f", "n + 5", "n + 40"], ["n", "e + 12", "e + 52"], ["e", "s + 3", "s + 55"], ["s", 7, "62"]], "target_var_name": "u", "target_value": 62, "value_dict": {"s": 7}, "is_reverse": true}} | 17,767 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: p = f + 1; s = 7; n = e + 12; m = g + 7; c = m + 3; k = p + 20; i = s + 6; z = a + 7; e = s + 3; f = n + 5; u = k + 14; a = c + 2; g = i + 6. Given that s = 7, find the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = p + 20 to u, which gives u = p + 34.\n2. Substitute p = f + 1 to u, which gives u = f + 35.\n3. Substitute f = n + 5 to u, which gives u = n + 40.\n4. Substitute n = e + 12 to u, which gives u = e + 52.\n5. Substitute e = s + 3 to u, which gives u = s + 55.\n6. Substitute s = 7 to u, which gives u = 62.\n\nThus, the final answer is u = \\boxed{62}.",
"index": 17767,
"question": "Suppose a collection of variables is related by the following definitions: p = f + 1; s = 7; n = e + 12; m = g + 7; c = m + 3; k = p + 20; i = s + 6; z = a + 7; e = s + 3; f = n + 5; u = k + 14; a = c + 2; g = i + 6. Given that s = 7, find the value of u.",
"split": "train"
} |
{"problem": {"rules": {"b": "p + 3", "j": "b + 8", "t": "j + 4", "x": "t + 18", "c": "x + 8", "e": "c + 20", "r": "p + 5", "l": "r + 13", "s": "l + 11", "f": "s + 8", "y": "f + 3", "q": "y + 6", "p": 13}, "premises": {"p": 13}, "target": "e"}, "answer": {"steps": [["c", "x + 8", "x + 28"], ["x", "t + 18", "t + 46"], ["t", "j + 4", "j + 50"], ["j", "b + 8", "b + 58"], ["b", "p + 3", "p + 61"], ["p", 13, "74"]], "target_var_name": "e", "target_value": 74, "value_dict": {"p": 13}, "is_reverse": true}} | 17,768 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: j = b + 8; t = j + 4; e = c + 20; c = x + 8; l = r + 13; q = y + 6; x = t + 18; f = s + 8; y = f + 3; r = p + 5; s = l + 11; p = 13; b = p + 3. Given that p = 13, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 74,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = x + 8 to e, which gives e = x + 28.\n2. Substitute x = t + 18 to e, which gives e = t + 46.\n3. Substitute t = j + 4 to e, which gives e = j + 50.\n4. Substitute j = b + 8 to e, which gives e = b + 58.\n5. Substitute b = p + 3 to e, which gives e = p + 61.\n6. Substitute p = 13 to e, which gives e = 74.\n\nThus, the final answer is e = \\boxed{74}.",
"index": 17768,
"question": "Suppose a collection of variables is related by the following definitions: j = b + 8; t = j + 4; e = c + 20; c = x + 8; l = r + 13; q = y + 6; x = t + 18; f = s + 8; y = f + 3; r = p + 5; s = l + 11; p = 13; b = p + 3. Given that p = 13, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"g": "z + 4", "t": "g + 9", "d": "t + 13", "q": "d + 5", "n": "q + 12", "l": "n + 3", "o": "z + 3", "y": "o + 5", "c": "y + 1", "m": "c + 18", "u": "m + 2", "r": "u + 8", "z": 12}, "premises": {"z": 12}, "target": "l"}, "answer": {"steps": [["n", "q + 12", "q + 15"], ["q", "d + 5", "d + 20"], ["d", "t + 13", "t + 33"], ["t", "g + 9", "g + 42"], ["g", "z + 4", "z + 46"], ["z", 12, "58"]], "target_var_name": "l", "target_value": 58, "value_dict": {"z": 12}, "is_reverse": true}} | 17,769 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 4; o = z + 3; n = q + 12; q = d + 5; u = m + 2; y = o + 5; z = 12; m = c + 18; r = u + 8; t = g + 9; c = y + 1; d = t + 13; l = n + 3. If z = 12, what is the resulting value of l?",
"role": "user"
}
] | math | {
"ground_truth": 58,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = q + 12 to l, which gives l = q + 15.\n2. Substitute q = d + 5 to l, which gives l = d + 20.\n3. Substitute d = t + 13 to l, which gives l = t + 33.\n4. Substitute t = g + 9 to l, which gives l = g + 42.\n5. Substitute g = z + 4 to l, which gives l = z + 46.\n6. Substitute z = 12 to l, which gives l = 58.\n\nThus, the final answer is l = \\boxed{58}.",
"index": 17769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = z + 4; o = z + 3; n = q + 12; q = d + 5; u = m + 2; y = o + 5; z = 12; m = c + 18; r = u + 8; t = g + 9; c = y + 1; d = t + 13; l = n + 3. If z = 12, what is the resulting value of l?",
"split": "train"
} |
{"problem": {"rules": {"e": "l + 4", "n": "e + 4", "i": "n + 5", "h": "i + 14", "t": "h + 15", "m": "t + 12", "v": "l + 6", "q": "v + 2", "g": "q + 7", "f": "g + 4", "x": "f + 1", "k": "x + 8", "l": 16}, "premises": {"l": 16}, "target": "m"}, "answer": {"steps": [["t", "h + 15", "h + 27"], ["h", "i + 14", "i + 41"], ["i", "n + 5", "n + 46"], ["n", "e + 4", "e + 50"], ["e", "l + 4", "l + 54"], ["l", 16, "70"]], "target_var_name": "m", "target_value": 70, "value_dict": {"l": 16}, "is_reverse": true}} | 17,770 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: i = n + 5; n = e + 4; k = x + 8; t = h + 15; m = t + 12; e = l + 4; x = f + 1; h = i + 14; f = g + 4; q = v + 2; v = l + 6; l = 16; g = q + 7. If l = 16, determine the value of m.",
"role": "user"
}
] | math | {
"ground_truth": 70,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 15 to m, which gives m = h + 27.\n2. Substitute h = i + 14 to m, which gives m = i + 41.\n3. Substitute i = n + 5 to m, which gives m = n + 46.\n4. Substitute n = e + 4 to m, which gives m = e + 50.\n5. Substitute e = l + 4 to m, which gives m = l + 54.\n6. Substitute l = 16 to m, which gives m = 70.\n\nThus, the final answer is m = \\boxed{70}.",
"index": 17770,
"question": "Consider a system of variables where each variable is defined as follows: i = n + 5; n = e + 4; k = x + 8; t = h + 15; m = t + 12; e = l + 4; x = f + 1; h = i + 14; f = g + 4; q = v + 2; v = l + 6; l = 16; g = q + 7. If l = 16, determine the value of m.",
"split": "train"
} |
{"problem": {"rules": {"b": "d + 20", "p": "b + 14", "k": "p + 10", "u": "k + 15", "n": "u + 18", "s": "n + 5", "m": "d + 3", "w": "m + 2", "g": "w + 7", "o": "g + 19", "i": "o + 11", "j": "i + 16", "d": 14}, "premises": {"d": 14}, "target": "s"}, "answer": {"steps": [["n", "u + 18", "u + 23"], ["u", "k + 15", "k + 38"], ["k", "p + 10", "p + 48"], ["p", "b + 14", "b + 62"], ["b", "d + 20", "d + 82"], ["d", 14, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"d": 14}, "is_reverse": true}} | 17,771 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: n = u + 18; s = n + 5; b = d + 20; j = i + 16; m = d + 3; i = o + 11; u = k + 15; d = 14; k = p + 10; w = m + 2; g = w + 7; p = b + 14; o = g + 19. Given that d = 14, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 96,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = u + 18 to s, which gives s = u + 23.\n2. Substitute u = k + 15 to s, which gives s = k + 38.\n3. Substitute k = p + 10 to s, which gives s = p + 48.\n4. Substitute p = b + 14 to s, which gives s = b + 62.\n5. Substitute b = d + 20 to s, which gives s = d + 82.\n6. Substitute d = 14 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 17771,
"question": "Suppose a collection of variables is related by the following definitions: n = u + 18; s = n + 5; b = d + 20; j = i + 16; m = d + 3; i = o + 11; u = k + 15; d = 14; k = p + 10; w = m + 2; g = w + 7; p = b + 14; o = g + 19. Given that d = 14, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"r": "j + 10", "i": "r + 4", "b": "i + 13", "p": "b + 3", "l": "p + 19", "a": "l + 1", "h": "j + 16", "s": "h + 18", "d": "s + 2", "o": "d + 16", "q": "o + 2", "c": "q + 14", "j": 16}, "premises": {"j": 16}, "target": "a"}, "answer": {"steps": [["l", "p + 19", "p + 20"], ["p", "b + 3", "b + 23"], ["b", "i + 13", "i + 36"], ["i", "r + 4", "r + 40"], ["r", "j + 10", "j + 50"], ["j", 16, "66"]], "target_var_name": "a", "target_value": 66, "value_dict": {"j": 16}, "is_reverse": true}} | 17,772 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: l = p + 19; r = j + 10; a = l + 1; p = b + 3; q = o + 2; j = 16; s = h + 18; c = q + 14; i = r + 4; b = i + 13; h = j + 16; o = d + 16; d = s + 2. If j = 16, determine the value of a.",
"role": "user"
}
] | math | {
"ground_truth": 66,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = p + 19 to a, which gives a = p + 20.\n2. Substitute p = b + 3 to a, which gives a = b + 23.\n3. Substitute b = i + 13 to a, which gives a = i + 36.\n4. Substitute i = r + 4 to a, which gives a = r + 40.\n5. Substitute r = j + 10 to a, which gives a = j + 50.\n6. Substitute j = 16 to a, which gives a = 66.\n\nThus, the final answer is a = \\boxed{66}.",
"index": 17772,
"question": "Consider a system of variables where each variable is defined as follows: l = p + 19; r = j + 10; a = l + 1; p = b + 3; q = o + 2; j = 16; s = h + 18; c = q + 14; i = r + 4; b = i + 13; h = j + 16; o = d + 16; d = s + 2. If j = 16, determine the value of a.",
"split": "train"
} |
{"problem": {"rules": {"r": "f + 10", "z": "r + 4", "b": "z + 18", "i": "b + 9", "h": "i + 1", "w": "h + 10", "l": "f + 6", "g": "l + 17", "a": "g + 2", "x": "a + 6", "k": "x + 11", "m": "k + 18", "f": 8}, "premises": {"f": 8}, "target": "w"}, "answer": {"steps": [["h", "i + 1", "i + 11"], ["i", "b + 9", "b + 20"], ["b", "z + 18", "z + 38"], ["z", "r + 4", "r + 42"], ["r", "f + 10", "f + 52"], ["f", 8, "60"]], "target_var_name": "w", "target_value": 60, "value_dict": {"f": 8}, "is_reverse": true}} | 17,773 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = b + 9; m = k + 18; w = h + 10; r = f + 10; z = r + 4; a = g + 2; g = l + 17; x = a + 6; b = z + 18; l = f + 6; f = 8; k = x + 11; h = i + 1. Given that f = 8, find the value of w.",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = i + 1 to w, which gives w = i + 11.\n2. Substitute i = b + 9 to w, which gives w = b + 20.\n3. Substitute b = z + 18 to w, which gives w = z + 38.\n4. Substitute z = r + 4 to w, which gives w = r + 42.\n5. Substitute r = f + 10 to w, which gives w = f + 52.\n6. Substitute f = 8 to w, which gives w = 60.\n\nThus, the final answer is w = \\boxed{60}.",
"index": 17773,
"question": "Suppose a collection of variables is related by the following definitions: i = b + 9; m = k + 18; w = h + 10; r = f + 10; z = r + 4; a = g + 2; g = l + 17; x = a + 6; b = z + 18; l = f + 6; f = 8; k = x + 11; h = i + 1. Given that f = 8, find the value of w.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 16", "b": "c + 4", "e": "b + 11", "u": "e + 3", "h": "u + 18", "z": "h + 20", "o": "v + 13", "f": "o + 12", "g": "f + 18", "j": "g + 7", "r": "j + 20", "m": "r + 9", "v": 19}, "premises": {"v": 19}, "target": "z"}, "answer": {"steps": [["h", "u + 18", "u + 38"], ["u", "e + 3", "e + 41"], ["e", "b + 11", "b + 52"], ["b", "c + 4", "c + 56"], ["c", "v + 16", "v + 72"], ["v", 19, "91"]], "target_var_name": "z", "target_value": 91, "value_dict": {"v": 19}, "is_reverse": true}} | 17,774 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: h = u + 18; g = f + 18; m = r + 9; c = v + 16; o = v + 13; r = j + 20; v = 19; b = c + 4; u = e + 3; e = b + 11; f = o + 12; j = g + 7; z = h + 20. If v = 19, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = u + 18 to z, which gives z = u + 38.\n2. Substitute u = e + 3 to z, which gives z = e + 41.\n3. Substitute e = b + 11 to z, which gives z = b + 52.\n4. Substitute b = c + 4 to z, which gives z = c + 56.\n5. Substitute c = v + 16 to z, which gives z = v + 72.\n6. Substitute v = 19 to z, which gives z = 91.\n\nThus, the final answer is z = \\boxed{91}.",
"index": 17774,
"question": "Consider a system of variables where each variable is defined as follows: h = u + 18; g = f + 18; m = r + 9; c = v + 16; o = v + 13; r = j + 20; v = 19; b = c + 4; u = e + 3; e = b + 11; f = o + 12; j = g + 7; z = h + 20. If v = 19, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"p": "g + 3", "z": "p + 6", "d": "z + 3", "x": "d + 12", "s": "x + 10", "q": "s + 17", "f": "g + 12", "m": "f + 12", "t": "m + 18", "b": "t + 13", "j": "b + 3", "h": "j + 6", "g": 9}, "premises": {"g": 9}, "target": "q"}, "answer": {"steps": [["s", "x + 10", "x + 27"], ["x", "d + 12", "d + 39"], ["d", "z + 3", "z + 42"], ["z", "p + 6", "p + 48"], ["p", "g + 3", "g + 51"], ["g", 9, "60"]], "target_var_name": "q", "target_value": 60, "value_dict": {"g": 9}, "is_reverse": true}} | 17,775 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: f = g + 12; b = t + 13; p = g + 3; m = f + 12; d = z + 3; g = 9; j = b + 3; x = d + 12; s = x + 10; q = s + 17; t = m + 18; z = p + 6; h = j + 6. If g = 9, 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 s = x + 10 to q, which gives q = x + 27.\n2. Substitute x = d + 12 to q, which gives q = d + 39.\n3. Substitute d = z + 3 to q, which gives q = z + 42.\n4. Substitute z = p + 6 to q, which gives q = p + 48.\n5. Substitute p = g + 3 to q, which gives q = g + 51.\n6. Substitute g = 9 to q, which gives q = 60.\n\nThus, the final answer is q = \\boxed{60}.",
"index": 17775,
"question": "Consider a system of variables where each variable is defined as follows: f = g + 12; b = t + 13; p = g + 3; m = f + 12; d = z + 3; g = 9; j = b + 3; x = d + 12; s = x + 10; q = s + 17; t = m + 18; z = p + 6; h = j + 6. If g = 9, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"p": "m + 9", "x": "p + 8", "q": "x + 12", "v": "q + 2", "j": "v + 8", "u": "j + 8", "c": "m + 4", "i": "c + 16", "r": "i + 19", "s": "r + 11", "n": "s + 9", "l": "n + 17", "m": 13}, "premises": {"m": 13}, "target": "u"}, "answer": {"steps": [["j", "v + 8", "v + 16"], ["v", "q + 2", "q + 18"], ["q", "x + 12", "x + 30"], ["x", "p + 8", "p + 38"], ["p", "m + 9", "m + 47"], ["m", 13, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"m": 13}, "is_reverse": true}} | 17,776 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 4; m = 13; s = r + 11; u = j + 8; x = p + 8; p = m + 9; i = c + 16; r = i + 19; q = x + 12; v = q + 2; l = n + 17; n = s + 9; j = v + 8. If m = 13, what is the resulting value of u?",
"role": "user"
}
] | math | {
"ground_truth": 60,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = v + 8 to u, which gives u = v + 16.\n2. Substitute v = q + 2 to u, which gives u = q + 18.\n3. Substitute q = x + 12 to u, which gives u = x + 30.\n4. Substitute x = p + 8 to u, which gives u = p + 38.\n5. Substitute p = m + 9 to u, which gives u = m + 47.\n6. Substitute m = 13 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 17776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = m + 4; m = 13; s = r + 11; u = j + 8; x = p + 8; p = m + 9; i = c + 16; r = i + 19; q = x + 12; v = q + 2; l = n + 17; n = s + 9; j = v + 8. If m = 13, what is the resulting value of u?",
"split": "train"
} |
{"problem": {"rules": {"q": "j + 18", "y": "q + 3", "x": "y + 2", "o": "x + 17", "i": "o + 1", "z": "i + 9", "p": "j + 20", "l": "p + 18", "e": "l + 19", "c": "e + 19", "b": "c + 18", "a": "b + 13", "j": 12}, "premises": {"j": 12}, "target": "z"}, "answer": {"steps": [["i", "o + 1", "o + 10"], ["o", "x + 17", "x + 27"], ["x", "y + 2", "y + 29"], ["y", "q + 3", "q + 32"], ["q", "j + 18", "j + 50"], ["j", 12, "62"]], "target_var_name": "z", "target_value": 62, "value_dict": {"j": 12}, "is_reverse": true}} | 17,777 | 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 + 19; z = i + 9; i = o + 1; q = j + 18; x = y + 2; a = b + 13; y = q + 3; o = x + 17; p = j + 20; b = c + 18; e = l + 19; l = p + 18; j = 12. If j = 12, determine the value of z.",
"role": "user"
}
] | math | {
"ground_truth": 62,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 1 to z, which gives z = o + 10.\n2. Substitute o = x + 17 to z, which gives z = x + 27.\n3. Substitute x = y + 2 to z, which gives z = y + 29.\n4. Substitute y = q + 3 to z, which gives z = q + 32.\n5. Substitute q = j + 18 to z, which gives z = j + 50.\n6. Substitute j = 12 to z, which gives z = 62.\n\nThus, the final answer is z = \\boxed{62}.",
"index": 17777,
"question": "Consider a system of variables where each variable is defined as follows: c = e + 19; z = i + 9; i = o + 1; q = j + 18; x = y + 2; a = b + 13; y = q + 3; o = x + 17; p = j + 20; b = c + 18; e = l + 19; l = p + 18; j = 12. If j = 12, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"u": "t + 14", "v": "u + 17", "d": "v + 2", "h": "d + 19", "i": "h + 14", "c": "i + 16", "g": "t + 7", "r": "g + 10", "z": "r + 4", "q": "z + 13", "k": "q + 9", "o": "k + 7", "t": 12}, "premises": {"t": 12}, "target": "c"}, "answer": {"steps": [["i", "h + 14", "h + 30"], ["h", "d + 19", "d + 49"], ["d", "v + 2", "v + 51"], ["v", "u + 17", "u + 68"], ["u", "t + 14", "t + 82"], ["t", 12, "94"]], "target_var_name": "c", "target_value": 94, "value_dict": {"t": 12}, "is_reverse": true}} | 17,778 | 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 = h + 14; v = u + 17; z = r + 4; d = v + 2; g = t + 7; o = k + 7; u = t + 14; r = g + 10; c = i + 16; q = z + 13; k = q + 9; t = 12; h = d + 19. If t = 12, what is the resulting value of c?",
"role": "user"
}
] | math | {
"ground_truth": 94,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 14 to c, which gives c = h + 30.\n2. Substitute h = d + 19 to c, which gives c = d + 49.\n3. Substitute d = v + 2 to c, which gives c = v + 51.\n4. Substitute v = u + 17 to c, which gives c = u + 68.\n5. Substitute u = t + 14 to c, which gives c = t + 82.\n6. Substitute t = 12 to c, which gives c = 94.\n\nThus, the final answer is c = \\boxed{94}.",
"index": 17778,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: i = h + 14; v = u + 17; z = r + 4; d = v + 2; g = t + 7; o = k + 7; u = t + 14; r = g + 10; c = i + 16; q = z + 13; k = q + 9; t = 12; h = d + 19. If t = 12, what is the resulting value of c?",
"split": "train"
} |
{"problem": {"rules": {"y": "p + 11", "w": "y + 4", "b": "w + 3", "d": "b + 8", "q": "d + 10", "v": "q + 7", "e": "p + 1", "l": "e + 19", "x": "l + 7", "g": "x + 5", "k": "g + 18", "u": "k + 13", "p": 6}, "premises": {"p": 6}, "target": "v"}, "answer": {"steps": [["q", "d + 10", "d + 17"], ["d", "b + 8", "b + 25"], ["b", "w + 3", "w + 28"], ["w", "y + 4", "y + 32"], ["y", "p + 11", "p + 43"], ["p", 6, "49"]], "target_var_name": "v", "target_value": 49, "value_dict": {"p": 6}, "is_reverse": true}} | 17,779 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 11; v = q + 7; w = y + 4; p = 6; q = d + 10; d = b + 8; u = k + 13; k = g + 18; g = x + 5; l = e + 19; b = w + 3; e = p + 1; x = l + 7. If p = 6, what is the resulting value of v?",
"role": "user"
}
] | math | {
"ground_truth": 49,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = d + 10 to v, which gives v = d + 17.\n2. Substitute d = b + 8 to v, which gives v = b + 25.\n3. Substitute b = w + 3 to v, which gives v = w + 28.\n4. Substitute w = y + 4 to v, which gives v = y + 32.\n5. Substitute y = p + 11 to v, which gives v = p + 43.\n6. Substitute p = 6 to v, which gives v = 49.\n\nThus, the final answer is v = \\boxed{49}.",
"index": 17779,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 11; v = q + 7; w = y + 4; p = 6; q = d + 10; d = b + 8; u = k + 13; k = g + 18; g = x + 5; l = e + 19; b = w + 3; e = p + 1; x = l + 7. If p = 6, what is the resulting value of v?",
"split": "train"
} |
{"problem": {"rules": {"w": "j + 16", "b": "w + 9", "o": "b + 12", "y": "o + 12", "p": "y + 20", "s": "p + 5", "m": "j + 20", "n": "m + 3", "x": "n + 15", "f": "x + 5", "t": "f + 1", "c": "t + 13", "j": 13}, "premises": {"j": 13}, "target": "s"}, "answer": {"steps": [["p", "y + 20", "y + 25"], ["y", "o + 12", "o + 37"], ["o", "b + 12", "b + 49"], ["b", "w + 9", "w + 58"], ["w", "j + 16", "j + 74"], ["j", 13, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"j": 13}, "is_reverse": true}} | 17,780 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: x = n + 15; o = b + 12; t = f + 1; w = j + 16; y = o + 12; c = t + 13; s = p + 5; p = y + 20; n = m + 3; b = w + 9; j = 13; m = j + 20; f = x + 5. If j = 13, determine the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = y + 20 to s, which gives s = y + 25.\n2. Substitute y = o + 12 to s, which gives s = o + 37.\n3. Substitute o = b + 12 to s, which gives s = b + 49.\n4. Substitute b = w + 9 to s, which gives s = w + 58.\n5. Substitute w = j + 16 to s, which gives s = j + 74.\n6. Substitute j = 13 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 17780,
"question": "Consider a system of variables where each variable is defined as follows: x = n + 15; o = b + 12; t = f + 1; w = j + 16; y = o + 12; c = t + 13; s = p + 5; p = y + 20; n = m + 3; b = w + 9; j = 13; m = j + 20; f = x + 5. If j = 13, determine the value of s.",
"split": "train"
} |
{"problem": {"rules": {"f": "i + 6", "y": "f + 7", "t": "y + 12", "g": "t + 8", "w": "g + 19", "e": "w + 4", "z": "i + 12", "s": "z + 6", "n": "s + 20", "b": "n + 15", "r": "b + 9", "x": "r + 14", "i": 5}, "premises": {"i": 5}, "target": "e"}, "answer": {"steps": [["w", "g + 19", "g + 23"], ["g", "t + 8", "t + 31"], ["t", "y + 12", "y + 43"], ["y", "f + 7", "f + 50"], ["f", "i + 6", "i + 56"], ["i", 5, "61"]], "target_var_name": "e", "target_value": 61, "value_dict": {"i": 5}, "is_reverse": true}} | 17,781 | 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 + 4; w = g + 19; i = 5; t = y + 12; s = z + 6; z = i + 12; b = n + 15; n = s + 20; y = f + 7; x = r + 14; r = b + 9; f = i + 6; g = t + 8. If i = 5, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 61,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 19 to e, which gives e = g + 23.\n2. Substitute g = t + 8 to e, which gives e = t + 31.\n3. Substitute t = y + 12 to e, which gives e = y + 43.\n4. Substitute y = f + 7 to e, which gives e = f + 50.\n5. Substitute f = i + 6 to e, which gives e = i + 56.\n6. Substitute i = 5 to e, which gives e = 61.\n\nThus, the final answer is e = \\boxed{61}.",
"index": 17781,
"question": "Consider a system of variables where each variable is defined as follows: e = w + 4; w = g + 19; i = 5; t = y + 12; s = z + 6; z = i + 12; b = n + 15; n = s + 20; y = f + 7; x = r + 14; r = b + 9; f = i + 6; g = t + 8. If i = 5, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"v": "f + 11", "w": "v + 11", "j": "w + 13", "g": "j + 11", "e": "g + 20", "q": "e + 17", "p": "f + 4", "u": "p + 13", "a": "u + 16", "o": "a + 12", "z": "o + 9", "i": "z + 6", "f": 18}, "premises": {"f": 18}, "target": "q"}, "answer": {"steps": [["e", "g + 20", "g + 37"], ["g", "j + 11", "j + 48"], ["j", "w + 13", "w + 61"], ["w", "v + 11", "v + 72"], ["v", "f + 11", "f + 83"], ["f", 18, "101"]], "target_var_name": "q", "target_value": 101, "value_dict": {"f": 18}, "is_reverse": true}} | 17,782 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: q = e + 17; v = f + 11; j = w + 13; z = o + 9; p = f + 4; e = g + 20; w = v + 11; o = a + 12; a = u + 16; g = j + 11; u = p + 13; i = z + 6; f = 18. If f = 18, determine the value of q.",
"role": "user"
}
] | math | {
"ground_truth": 101,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = g + 20 to q, which gives q = g + 37.\n2. Substitute g = j + 11 to q, which gives q = j + 48.\n3. Substitute j = w + 13 to q, which gives q = w + 61.\n4. Substitute w = v + 11 to q, which gives q = v + 72.\n5. Substitute v = f + 11 to q, which gives q = f + 83.\n6. Substitute f = 18 to q, which gives q = 101.\n\nThus, the final answer is q = \\boxed{101}.",
"index": 17782,
"question": "Consider a system of variables where each variable is defined as follows: q = e + 17; v = f + 11; j = w + 13; z = o + 9; p = f + 4; e = g + 20; w = v + 11; o = a + 12; a = u + 16; g = j + 11; u = p + 13; i = z + 6; f = 18. If f = 18, determine the value of q.",
"split": "train"
} |
{"problem": {"rules": {"l": "b + 19", "x": "l + 16", "m": "x + 4", "i": "m + 12", "g": "i + 6", "d": "g + 6", "z": "b + 13", "q": "z + 3", "n": "q + 20", "s": "n + 18", "c": "s + 8", "y": "c + 1", "b": 2}, "premises": {"b": 2}, "target": "d"}, "answer": {"steps": [["g", "i + 6", "i + 12"], ["i", "m + 12", "m + 24"], ["m", "x + 4", "x + 28"], ["x", "l + 16", "l + 44"], ["l", "b + 19", "b + 63"], ["b", 2, "65"]], "target_var_name": "d", "target_value": 65, "value_dict": {"b": 2}, "is_reverse": true}} | 17,783 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = i + 6; q = z + 3; c = s + 8; b = 2; s = n + 18; y = c + 1; m = x + 4; i = m + 12; d = g + 6; x = l + 16; z = b + 13; l = b + 19; n = q + 20. If b = 2, determine the value of d.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 6 to d, which gives d = i + 12.\n2. Substitute i = m + 12 to d, which gives d = m + 24.\n3. Substitute m = x + 4 to d, which gives d = x + 28.\n4. Substitute x = l + 16 to d, which gives d = l + 44.\n5. Substitute l = b + 19 to d, which gives d = b + 63.\n6. Substitute b = 2 to d, which gives d = 65.\n\nThus, the final answer is d = \\boxed{65}.",
"index": 17783,
"question": "Consider a system of variables where each variable is defined as follows: g = i + 6; q = z + 3; c = s + 8; b = 2; s = n + 18; y = c + 1; m = x + 4; i = m + 12; d = g + 6; x = l + 16; z = b + 13; l = b + 19; n = q + 20. If b = 2, determine the value of d.",
"split": "train"
} |
{"problem": {"rules": {"c": "v + 11", "r": "c + 19", "i": "r + 19", "o": "i + 16", "t": "o + 5", "x": "t + 16", "j": "v + 6", "p": "j + 17", "m": "p + 16", "d": "m + 1", "f": "d + 15", "z": "f + 8", "v": 2}, "premises": {"v": 2}, "target": "x"}, "answer": {"steps": [["t", "o + 5", "o + 21"], ["o", "i + 16", "i + 37"], ["i", "r + 19", "r + 56"], ["r", "c + 19", "c + 75"], ["c", "v + 11", "v + 86"], ["v", 2, "88"]], "target_var_name": "x", "target_value": 88, "value_dict": {"v": 2}, "is_reverse": true}} | 17,784 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = j + 17; r = c + 19; m = p + 16; t = o + 5; j = v + 6; o = i + 16; i = r + 19; d = m + 1; x = t + 16; c = v + 11; v = 2; z = f + 8; f = d + 15. If v = 2, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 88,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = o + 5 to x, which gives x = o + 21.\n2. Substitute o = i + 16 to x, which gives x = i + 37.\n3. Substitute i = r + 19 to x, which gives x = r + 56.\n4. Substitute r = c + 19 to x, which gives x = c + 75.\n5. Substitute c = v + 11 to x, which gives x = v + 86.\n6. Substitute v = 2 to x, which gives x = 88.\n\nThus, the final answer is x = \\boxed{88}.",
"index": 17784,
"question": "Consider a system of variables where each variable is defined as follows: p = j + 17; r = c + 19; m = p + 16; t = o + 5; j = v + 6; o = i + 16; i = r + 19; d = m + 1; x = t + 16; c = v + 11; v = 2; z = f + 8; f = d + 15. If v = 2, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"k": "z + 18", "y": "k + 19", "q": "y + 8", "n": "q + 16", "j": "n + 5", "s": "j + 12", "u": "z + 10", "x": "u + 15", "c": "x + 19", "m": "c + 13", "h": "m + 13", "g": "h + 8", "z": 9}, "premises": {"z": 9}, "target": "s"}, "answer": {"steps": [["j", "n + 5", "n + 17"], ["n", "q + 16", "q + 33"], ["q", "y + 8", "y + 41"], ["y", "k + 19", "k + 60"], ["k", "z + 18", "z + 78"], ["z", 9, "87"]], "target_var_name": "s", "target_value": 87, "value_dict": {"z": 9}, "is_reverse": true}} | 17,785 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: c = x + 19; j = n + 5; q = y + 8; g = h + 8; u = z + 10; s = j + 12; n = q + 16; h = m + 13; x = u + 15; z = 9; k = z + 18; m = c + 13; y = k + 19. Given that z = 9, find the value of s.",
"role": "user"
}
] | math | {
"ground_truth": 87,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = n + 5 to s, which gives s = n + 17.\n2. Substitute n = q + 16 to s, which gives s = q + 33.\n3. Substitute q = y + 8 to s, which gives s = y + 41.\n4. Substitute y = k + 19 to s, which gives s = k + 60.\n5. Substitute k = z + 18 to s, which gives s = z + 78.\n6. Substitute z = 9 to s, which gives s = 87.\n\nThus, the final answer is s = \\boxed{87}.",
"index": 17785,
"question": "Suppose a collection of variables is related by the following definitions: c = x + 19; j = n + 5; q = y + 8; g = h + 8; u = z + 10; s = j + 12; n = q + 16; h = m + 13; x = u + 15; z = 9; k = z + 18; m = c + 13; y = k + 19. Given that z = 9, find the value of s.",
"split": "train"
} |
{"problem": {"rules": {"o": "w + 1", "b": "o + 16", "d": "b + 4", "v": "d + 5", "q": "v + 2", "n": "q + 12", "k": "w + 7", "j": "k + 14", "s": "j + 12", "g": "s + 3", "a": "g + 2", "i": "a + 5", "w": 7}, "premises": {"w": 7}, "target": "n"}, "answer": {"steps": [["q", "v + 2", "v + 14"], ["v", "d + 5", "d + 19"], ["d", "b + 4", "b + 23"], ["b", "o + 16", "o + 39"], ["o", "w + 1", "w + 40"], ["w", 7, "47"]], "target_var_name": "n", "target_value": 47, "value_dict": {"w": 7}, "is_reverse": true}} | 17,786 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = s + 3; a = g + 2; k = w + 7; d = b + 4; v = d + 5; j = k + 14; q = v + 2; w = 7; i = a + 5; b = o + 16; n = q + 12; s = j + 12; o = w + 1. If w = 7, determine the value of n.",
"role": "user"
}
] | math | {
"ground_truth": 47,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = v + 2 to n, which gives n = v + 14.\n2. Substitute v = d + 5 to n, which gives n = d + 19.\n3. Substitute d = b + 4 to n, which gives n = b + 23.\n4. Substitute b = o + 16 to n, which gives n = o + 39.\n5. Substitute o = w + 1 to n, which gives n = w + 40.\n6. Substitute w = 7 to n, which gives n = 47.\n\nThus, the final answer is n = \\boxed{47}.",
"index": 17786,
"question": "Consider a system of variables where each variable is defined as follows: g = s + 3; a = g + 2; k = w + 7; d = b + 4; v = d + 5; j = k + 14; q = v + 2; w = 7; i = a + 5; b = o + 16; n = q + 12; s = j + 12; o = w + 1. If w = 7, determine the value of n.",
"split": "train"
} |
{"problem": {"rules": {"p": "k + 20", "h": "p + 9", "d": "h + 1", "x": "d + 14", "q": "x + 2", "u": "q + 13", "s": "k + 15", "y": "s + 20", "n": "y + 7", "o": "n + 5", "z": "o + 14", "g": "z + 8", "k": 6}, "premises": {"k": 6}, "target": "u"}, "answer": {"steps": [["q", "x + 2", "x + 15"], ["x", "d + 14", "d + 29"], ["d", "h + 1", "h + 30"], ["h", "p + 9", "p + 39"], ["p", "k + 20", "k + 59"], ["k", 6, "65"]], "target_var_name": "u", "target_value": 65, "value_dict": {"k": 6}, "is_reverse": true}} | 17,787 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: d = h + 1; p = k + 20; h = p + 9; s = k + 15; x = d + 14; g = z + 8; u = q + 13; q = x + 2; o = n + 5; k = 6; n = y + 7; z = o + 14; y = s + 20. If k = 6, determine the value of u.",
"role": "user"
}
] | math | {
"ground_truth": 65,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = x + 2 to u, which gives u = x + 15.\n2. Substitute x = d + 14 to u, which gives u = d + 29.\n3. Substitute d = h + 1 to u, which gives u = h + 30.\n4. Substitute h = p + 9 to u, which gives u = p + 39.\n5. Substitute p = k + 20 to u, which gives u = k + 59.\n6. Substitute k = 6 to u, which gives u = 65.\n\nThus, the final answer is u = \\boxed{65}.",
"index": 17787,
"question": "Consider a system of variables where each variable is defined as follows: d = h + 1; p = k + 20; h = p + 9; s = k + 15; x = d + 14; g = z + 8; u = q + 13; q = x + 2; o = n + 5; k = 6; n = y + 7; z = o + 14; y = s + 20. If k = 6, determine the value of u.",
"split": "train"
} |
{"problem": {"rules": {"j": "x + 17", "o": "j + 12", "d": "o + 10", "y": "d + 17", "l": "y + 3", "b": "l + 17", "p": "x + 1", "r": "p + 20", "a": "r + 16", "g": "a + 5", "s": "g + 10", "m": "s + 11", "x": 15}, "premises": {"x": 15}, "target": "b"}, "answer": {"steps": [["l", "y + 3", "y + 20"], ["y", "d + 17", "d + 37"], ["d", "o + 10", "o + 47"], ["o", "j + 12", "j + 59"], ["j", "x + 17", "x + 76"], ["x", 15, "91"]], "target_var_name": "b", "target_value": 91, "value_dict": {"x": 15}, "is_reverse": true}} | 17,788 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = x + 1; g = a + 5; s = g + 10; m = s + 11; o = j + 12; b = l + 17; x = 15; d = o + 10; r = p + 20; l = y + 3; a = r + 16; y = d + 17; j = x + 17. If x = 15, determine the value of b.",
"role": "user"
}
] | math | {
"ground_truth": 91,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = y + 3 to b, which gives b = y + 20.\n2. Substitute y = d + 17 to b, which gives b = d + 37.\n3. Substitute d = o + 10 to b, which gives b = o + 47.\n4. Substitute o = j + 12 to b, which gives b = j + 59.\n5. Substitute j = x + 17 to b, which gives b = x + 76.\n6. Substitute x = 15 to b, which gives b = 91.\n\nThus, the final answer is b = \\boxed{91}.",
"index": 17788,
"question": "Consider a system of variables where each variable is defined as follows: p = x + 1; g = a + 5; s = g + 10; m = s + 11; o = j + 12; b = l + 17; x = 15; d = o + 10; r = p + 20; l = y + 3; a = r + 16; y = d + 17; j = x + 17. If x = 15, determine the value of b.",
"split": "train"
} |
{"problem": {"rules": {"o": "p + 20", "m": "o + 15", "w": "m + 14", "z": "w + 7", "r": "z + 3", "t": "r + 5", "e": "p + 2", "y": "e + 2", "j": "y + 8", "b": "j + 12", "l": "b + 7", "h": "l + 6", "p": 14}, "premises": {"p": 14}, "target": "t"}, "answer": {"steps": [["r", "z + 3", "z + 8"], ["z", "w + 7", "w + 15"], ["w", "m + 14", "m + 29"], ["m", "o + 15", "o + 44"], ["o", "p + 20", "p + 64"], ["p", 14, "78"]], "target_var_name": "t", "target_value": 78, "value_dict": {"p": 14}, "is_reverse": true}} | 17,789 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: z = w + 7; p = 14; j = y + 8; r = z + 3; t = r + 5; o = p + 20; m = o + 15; y = e + 2; w = m + 14; e = p + 2; b = j + 12; l = b + 7; h = l + 6. Given that p = 14, find the value of t.",
"role": "user"
}
] | math | {
"ground_truth": 78,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = z + 3 to t, which gives t = z + 8.\n2. Substitute z = w + 7 to t, which gives t = w + 15.\n3. Substitute w = m + 14 to t, which gives t = m + 29.\n4. Substitute m = o + 15 to t, which gives t = o + 44.\n5. Substitute o = p + 20 to t, which gives t = p + 64.\n6. Substitute p = 14 to t, which gives t = 78.\n\nThus, the final answer is t = \\boxed{78}.",
"index": 17789,
"question": "Suppose a collection of variables is related by the following definitions: z = w + 7; p = 14; j = y + 8; r = z + 3; t = r + 5; o = p + 20; m = o + 15; y = e + 2; w = m + 14; e = p + 2; b = j + 12; l = b + 7; h = l + 6. Given that p = 14, find the value of t.",
"split": "train"
} |
{"problem": {"rules": {"v": "w + 17", "p": "v + 9", "i": "p + 12", "h": "i + 12", "l": "h + 19", "e": "l + 10", "s": "w + 19", "m": "s + 2", "q": "m + 9", "r": "q + 15", "n": "r + 5", "o": "n + 2", "w": 20}, "premises": {"w": 20}, "target": "e"}, "answer": {"steps": [["l", "h + 19", "h + 29"], ["h", "i + 12", "i + 41"], ["i", "p + 12", "p + 53"], ["p", "v + 9", "v + 62"], ["v", "w + 17", "w + 79"], ["w", 20, "99"]], "target_var_name": "e", "target_value": 99, "value_dict": {"w": 20}, "is_reverse": true}} | 17,790 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: p = v + 9; s = w + 19; i = p + 12; w = 20; r = q + 15; h = i + 12; o = n + 2; m = s + 2; v = w + 17; l = h + 19; e = l + 10; n = r + 5; q = m + 9. If w = 20, determine the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 99,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = h + 19 to e, which gives e = h + 29.\n2. Substitute h = i + 12 to e, which gives e = i + 41.\n3. Substitute i = p + 12 to e, which gives e = p + 53.\n4. Substitute p = v + 9 to e, which gives e = v + 62.\n5. Substitute v = w + 17 to e, which gives e = w + 79.\n6. Substitute w = 20 to e, which gives e = 99.\n\nThus, the final answer is e = \\boxed{99}.",
"index": 17790,
"question": "Consider a system of variables where each variable is defined as follows: p = v + 9; s = w + 19; i = p + 12; w = 20; r = q + 15; h = i + 12; o = n + 2; m = s + 2; v = w + 17; l = h + 19; e = l + 10; n = r + 5; q = m + 9. If w = 20, determine the value of e.",
"split": "train"
} |
{"problem": {"rules": {"b": "q + 8", "d": "b + 3", "s": "d + 14", "l": "s + 10", "t": "l + 15", "z": "t + 7", "c": "q + 17", "f": "c + 12", "n": "f + 10", "v": "n + 20", "o": "v + 7", "k": "o + 3", "q": 2}, "premises": {"q": 2}, "target": "z"}, "answer": {"steps": [["t", "l + 15", "l + 22"], ["l", "s + 10", "s + 32"], ["s", "d + 14", "d + 46"], ["d", "b + 3", "b + 49"], ["b", "q + 8", "q + 57"], ["q", 2, "59"]], "target_var_name": "z", "target_value": 59, "value_dict": {"q": 2}, "is_reverse": true}} | 17,791 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: s = d + 14; t = l + 15; n = f + 10; f = c + 12; v = n + 20; d = b + 3; k = o + 3; c = q + 17; q = 2; b = q + 8; l = s + 10; o = v + 7; z = t + 7. If q = 2, 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 t = l + 15 to z, which gives z = l + 22.\n2. Substitute l = s + 10 to z, which gives z = s + 32.\n3. Substitute s = d + 14 to z, which gives z = d + 46.\n4. Substitute d = b + 3 to z, which gives z = b + 49.\n5. Substitute b = q + 8 to z, which gives z = q + 57.\n6. Substitute q = 2 to z, which gives z = 59.\n\nThus, the final answer is z = \\boxed{59}.",
"index": 17791,
"question": "Consider a system of variables where each variable is defined as follows: s = d + 14; t = l + 15; n = f + 10; f = c + 12; v = n + 20; d = b + 3; k = o + 3; c = q + 17; q = 2; b = q + 8; l = s + 10; o = v + 7; z = t + 7. If q = 2, determine the value of z.",
"split": "train"
} |
{"problem": {"rules": {"a": "i + 5", "b": "a + 9", "t": "b + 7", "y": "t + 13", "c": "y + 15", "j": "c + 5", "s": "i + 3", "o": "s + 7", "p": "o + 19", "v": "p + 17", "z": "v + 5", "f": "z + 4", "i": 2}, "premises": {"i": 2}, "target": "j"}, "answer": {"steps": [["c", "y + 15", "y + 20"], ["y", "t + 13", "t + 33"], ["t", "b + 7", "b + 40"], ["b", "a + 9", "a + 49"], ["a", "i + 5", "i + 54"], ["i", 2, "56"]], "target_var_name": "j", "target_value": 56, "value_dict": {"i": 2}, "is_reverse": true}} | 17,792 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: i = 2; z = v + 5; f = z + 4; t = b + 7; b = a + 9; y = t + 13; a = i + 5; j = c + 5; s = i + 3; p = o + 19; v = p + 17; c = y + 15; o = s + 7. Given that i = 2, find the value of j.",
"role": "user"
}
] | math | {
"ground_truth": 56,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = y + 15 to j, which gives j = y + 20.\n2. Substitute y = t + 13 to j, which gives j = t + 33.\n3. Substitute t = b + 7 to j, which gives j = b + 40.\n4. Substitute b = a + 9 to j, which gives j = a + 49.\n5. Substitute a = i + 5 to j, which gives j = i + 54.\n6. Substitute i = 2 to j, which gives j = 56.\n\nThus, the final answer is j = \\boxed{56}.",
"index": 17792,
"question": "Suppose a collection of variables is related by the following definitions: i = 2; z = v + 5; f = z + 4; t = b + 7; b = a + 9; y = t + 13; a = i + 5; j = c + 5; s = i + 3; p = o + 19; v = p + 17; c = y + 15; o = s + 7. Given that i = 2, find the value of j.",
"split": "train"
} |
{"problem": {"rules": {"s": "h + 15", "e": "s + 3", "w": "e + 17", "a": "w + 6", "p": "a + 10", "x": "p + 13", "n": "h + 9", "q": "n + 16", "i": "q + 5", "j": "i + 18", "u": "j + 4", "y": "u + 11", "h": 15}, "premises": {"h": 15}, "target": "x"}, "answer": {"steps": [["p", "a + 10", "a + 23"], ["a", "w + 6", "w + 29"], ["w", "e + 17", "e + 46"], ["e", "s + 3", "s + 49"], ["s", "h + 15", "h + 64"], ["h", 15, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"h": 15}, "is_reverse": true}} | 17,793 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 4; i = q + 5; y = u + 11; x = p + 13; n = h + 9; s = h + 15; j = i + 18; h = 15; a = w + 6; p = a + 10; q = n + 16; e = s + 3; w = e + 17. If h = 15, determine the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 79,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = a + 10 to x, which gives x = a + 23.\n2. Substitute a = w + 6 to x, which gives x = w + 29.\n3. Substitute w = e + 17 to x, which gives x = e + 46.\n4. Substitute e = s + 3 to x, which gives x = s + 49.\n5. Substitute s = h + 15 to x, which gives x = h + 64.\n6. Substitute h = 15 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 17793,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 4; i = q + 5; y = u + 11; x = p + 13; n = h + 9; s = h + 15; j = i + 18; h = 15; a = w + 6; p = a + 10; q = n + 16; e = s + 3; w = e + 17. If h = 15, determine the value of x.",
"split": "train"
} |
{"problem": {"rules": {"i": "h + 4", "g": "i + 4", "k": "g + 9", "x": "k + 1", "r": "x + 18", "l": "r + 9", "o": "h + 16", "t": "o + 5", "u": "t + 5", "q": "u + 12", "j": "q + 13", "a": "j + 19", "h": 12}, "premises": {"h": 12}, "target": "l"}, "answer": {"steps": [["r", "x + 18", "x + 27"], ["x", "k + 1", "k + 28"], ["k", "g + 9", "g + 37"], ["g", "i + 4", "i + 41"], ["i", "h + 4", "h + 45"], ["h", 12, "57"]], "target_var_name": "l", "target_value": 57, "value_dict": {"h": 12}, "is_reverse": true}} | 17,794 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = 12; t = o + 5; x = k + 1; k = g + 9; a = j + 19; u = t + 5; r = x + 18; q = u + 12; g = i + 4; o = h + 16; i = h + 4; j = q + 13; l = r + 9. Given that h = 12, find the value of l.",
"role": "user"
}
] | math | {
"ground_truth": 57,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = x + 18 to l, which gives l = x + 27.\n2. Substitute x = k + 1 to l, which gives l = k + 28.\n3. Substitute k = g + 9 to l, which gives l = g + 37.\n4. Substitute g = i + 4 to l, which gives l = i + 41.\n5. Substitute i = h + 4 to l, which gives l = h + 45.\n6. Substitute h = 12 to l, which gives l = 57.\n\nThus, the final answer is l = \\boxed{57}.",
"index": 17794,
"question": "Suppose a collection of variables is related by the following definitions: h = 12; t = o + 5; x = k + 1; k = g + 9; a = j + 19; u = t + 5; r = x + 18; q = u + 12; g = i + 4; o = h + 16; i = h + 4; j = q + 13; l = r + 9. Given that h = 12, find the value of l.",
"split": "train"
} |
{"problem": {"rules": {"s": "g + 20", "q": "s + 1", "b": "q + 17", "k": "b + 9", "n": "k + 14", "v": "n + 1", "l": "g + 16", "w": "l + 1", "o": "w + 3", "i": "o + 10", "r": "i + 2", "u": "r + 2", "g": 13}, "premises": {"g": 13}, "target": "v"}, "answer": {"steps": [["n", "k + 14", "k + 15"], ["k", "b + 9", "b + 24"], ["b", "q + 17", "q + 41"], ["q", "s + 1", "s + 42"], ["s", "g + 20", "g + 62"], ["g", 13, "75"]], "target_var_name": "v", "target_value": 75, "value_dict": {"g": 13}, "is_reverse": true}} | 17,795 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: q = s + 1; i = o + 10; s = g + 20; n = k + 14; k = b + 9; r = i + 2; b = q + 17; o = w + 3; w = l + 1; l = g + 16; v = n + 1; u = r + 2; g = 13. Given that g = 13, find the value of v.",
"role": "user"
}
] | math | {
"ground_truth": 75,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = k + 14 to v, which gives v = k + 15.\n2. Substitute k = b + 9 to v, which gives v = b + 24.\n3. Substitute b = q + 17 to v, which gives v = q + 41.\n4. Substitute q = s + 1 to v, which gives v = s + 42.\n5. Substitute s = g + 20 to v, which gives v = g + 62.\n6. Substitute g = 13 to v, which gives v = 75.\n\nThus, the final answer is v = \\boxed{75}.",
"index": 17795,
"question": "Suppose a collection of variables is related by the following definitions: q = s + 1; i = o + 10; s = g + 20; n = k + 14; k = b + 9; r = i + 2; b = q + 17; o = w + 3; w = l + 1; l = g + 16; v = n + 1; u = r + 2; g = 13. Given that g = 13, find the value of v.",
"split": "train"
} |
{"problem": {"rules": {"p": "y + 14", "q": "p + 10", "a": "q + 5", "c": "a + 10", "o": "c + 16", "e": "o + 12", "h": "y + 9", "s": "h + 6", "u": "s + 19", "x": "u + 13", "i": "x + 10", "n": "i + 11", "y": 18}, "premises": {"y": 18}, "target": "e"}, "answer": {"steps": [["o", "c + 16", "c + 28"], ["c", "a + 10", "a + 38"], ["a", "q + 5", "q + 43"], ["q", "p + 10", "p + 53"], ["p", "y + 14", "y + 67"], ["y", 18, "85"]], "target_var_name": "e", "target_value": 85, "value_dict": {"y": 18}, "is_reverse": true}} | 17,796 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: u = s + 19; c = a + 10; h = y + 9; o = c + 16; i = x + 10; q = p + 10; n = i + 11; p = y + 14; a = q + 5; x = u + 13; e = o + 12; s = h + 6; y = 18. Given that y = 18, find the value of e.",
"role": "user"
}
] | math | {
"ground_truth": 85,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = c + 16 to e, which gives e = c + 28.\n2. Substitute c = a + 10 to e, which gives e = a + 38.\n3. Substitute a = q + 5 to e, which gives e = q + 43.\n4. Substitute q = p + 10 to e, which gives e = p + 53.\n5. Substitute p = y + 14 to e, which gives e = y + 67.\n6. Substitute y = 18 to e, which gives e = 85.\n\nThus, the final answer is e = \\boxed{85}.",
"index": 17796,
"question": "Suppose a collection of variables is related by the following definitions: u = s + 19; c = a + 10; h = y + 9; o = c + 16; i = x + 10; q = p + 10; n = i + 11; p = y + 14; a = q + 5; x = u + 13; e = o + 12; s = h + 6; y = 18. Given that y = 18, find the value of e.",
"split": "train"
} |
{"problem": {"rules": {"l": "p + 1", "n": "l + 19", "e": "n + 5", "s": "e + 5", "v": "s + 13", "g": "v + 9", "x": "p + 17", "h": "x + 7", "r": "h + 15", "a": "r + 20", "o": "a + 8", "z": "o + 4", "p": 12}, "premises": {"p": 12}, "target": "g"}, "answer": {"steps": [["v", "s + 13", "s + 22"], ["s", "e + 5", "e + 27"], ["e", "n + 5", "n + 32"], ["n", "l + 19", "l + 51"], ["l", "p + 1", "p + 52"], ["p", 12, "64"]], "target_var_name": "g", "target_value": 64, "value_dict": {"p": 12}, "is_reverse": true}} | 17,797 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: g = v + 9; x = p + 17; a = r + 20; r = h + 15; v = s + 13; s = e + 5; o = a + 8; z = o + 4; n = l + 19; e = n + 5; h = x + 7; l = p + 1; p = 12. If p = 12, determine the value of g.",
"role": "user"
}
] | math | {
"ground_truth": 64,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = s + 13 to g, which gives g = s + 22.\n2. Substitute s = e + 5 to g, which gives g = e + 27.\n3. Substitute e = n + 5 to g, which gives g = n + 32.\n4. Substitute n = l + 19 to g, which gives g = l + 51.\n5. Substitute l = p + 1 to g, which gives g = p + 52.\n6. Substitute p = 12 to g, which gives g = 64.\n\nThus, the final answer is g = \\boxed{64}.",
"index": 17797,
"question": "Consider a system of variables where each variable is defined as follows: g = v + 9; x = p + 17; a = r + 20; r = h + 15; v = s + 13; s = e + 5; o = a + 8; z = o + 4; n = l + 19; e = n + 5; h = x + 7; l = p + 1; p = 12. If p = 12, determine the value of g.",
"split": "train"
} |
{"problem": {"rules": {"j": "q + 15", "h": "j + 17", "a": "h + 6", "o": "a + 3", "r": "o + 5", "i": "r + 13", "p": "q + 7", "t": "p + 7", "b": "t + 15", "m": "b + 5", "y": "m + 13", "z": "y + 11", "q": 8}, "premises": {"q": 8}, "target": "i"}, "answer": {"steps": [["r", "o + 5", "o + 18"], ["o", "a + 3", "a + 21"], ["a", "h + 6", "h + 27"], ["h", "j + 17", "j + 44"], ["j", "q + 15", "q + 59"], ["q", 8, "67"]], "target_var_name": "i", "target_value": 67, "value_dict": {"q": 8}, "is_reverse": true}} | 17,798 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Consider a system of variables where each variable is defined as follows: j = q + 15; o = a + 3; p = q + 7; i = r + 13; y = m + 13; t = p + 7; b = t + 15; z = y + 11; a = h + 6; h = j + 17; r = o + 5; q = 8; m = b + 5. If q = 8, determine the value of i.",
"role": "user"
}
] | math | {
"ground_truth": 67,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = o + 5 to i, which gives i = o + 18.\n2. Substitute o = a + 3 to i, which gives i = a + 21.\n3. Substitute a = h + 6 to i, which gives i = h + 27.\n4. Substitute h = j + 17 to i, which gives i = j + 44.\n5. Substitute j = q + 15 to i, which gives i = q + 59.\n6. Substitute q = 8 to i, which gives i = 67.\n\nThus, the final answer is i = \\boxed{67}.",
"index": 17798,
"question": "Consider a system of variables where each variable is defined as follows: j = q + 15; o = a + 3; p = q + 7; i = r + 13; y = m + 13; t = p + 7; b = t + 15; z = y + 11; a = h + 6; h = j + 17; r = o + 5; q = 8; m = b + 5. If q = 8, determine the value of i.",
"split": "train"
} |
{"problem": {"rules": {"q": "r + 8", "u": "q + 9", "z": "u + 4", "d": "z + 13", "i": "d + 5", "x": "i + 6", "g": "r + 17", "k": "g + 15", "h": "k + 18", "j": "h + 5", "y": "j + 2", "s": "y + 6", "r": 3}, "premises": {"r": 3}, "target": "x"}, "answer": {"steps": [["i", "d + 5", "d + 11"], ["d", "z + 13", "z + 24"], ["z", "u + 4", "u + 28"], ["u", "q + 9", "q + 37"], ["q", "r + 8", "r + 45"], ["r", 3, "48"]], "target_var_name": "x", "target_value": 48, "value_dict": {"r": 3}, "is_reverse": true}} | 17,799 | 0 | pathstar_2_7_reverse | math_world_v6_mode_1 | [
{
"content": "Suppose a collection of variables is related by the following definitions: h = k + 18; z = u + 4; u = q + 9; y = j + 2; k = g + 15; r = 3; d = z + 13; x = i + 6; j = h + 5; i = d + 5; q = r + 8; s = y + 6; g = r + 17. Given that r = 3, find the value of x.",
"role": "user"
}
] | math | {
"ground_truth": 48,
"style": "number"
} | {
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = d + 5 to x, which gives x = d + 11.\n2. Substitute d = z + 13 to x, which gives x = z + 24.\n3. Substitute z = u + 4 to x, which gives x = u + 28.\n4. Substitute u = q + 9 to x, which gives x = q + 37.\n5. Substitute q = r + 8 to x, which gives x = r + 45.\n6. Substitute r = 3 to x, which gives x = 48.\n\nThus, the final answer is x = \\boxed{48}.",
"index": 17799,
"question": "Suppose a collection of variables is related by the following definitions: h = k + 18; z = u + 4; u = q + 9; y = j + 2; k = g + 15; r = 3; d = z + 13; x = i + 6; j = h + 5; i = d + 5; q = r + 8; s = y + 6; g = r + 17. Given that r = 3, find the value of x.",
"split": "train"
} |
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